Which of the following inequalities does the graph represent?


Number line -5 to +5 in single-integer increments - assessment graphic

Responses

–3 < t < 4

–3 < t < 4

t < –3 or t > 4

t < –3 or t > 4

–3 ≤ t ≤ 4

–3 ≤ t ≤ 4

t ≤ –3 or t ≥ 4

Answers

Answer 1

The statement t < –3 or t > 4 is the inequality that the graph represents.

What is inequality?

Inequality in mathematics is when two values are not equal. It can be expressed using symbols such as >, <, ≥ and ≤. This can be used to compare two values, express a range of values, or indicate that one value is greater or less than another. Inequality is a powerful tool for solving mathematical problems, as it can be used to deduce relationships between different variables.

The graph represents the inequality t < –3 or t > 4. This can be seen by the number line, which has the integers -5 to 5 incrementally marked, with the bars extending beyond the -3 and 4 markers. This indicates that the value of t is less than -3 or greater than 4, but not equal to either of these values. Therefore, the statement t < –3 or t > 4 is the inequality that the graph represents.

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Related Questions

What is the equation to this graph?

Answers

The equation of the linear function is y = -1/2x - 6

How to determin the equation of the linear function

From the question, we have the following parameters that can be used in our computation:

The graph

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

This means that

y = mx - 6

From the graph, we have

A unit increment in x gives an decrement of 1/2 in y

This means that

m = -1/2

So, we have

y = -1/2x - 6

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Ava's birthday cake is 11\dfrac{7}{10}\text{ cm}11 10 7 ​ cm11, start fraction, 7, divided by, 10, end fraction, start text, space, c, m, end text tall. Her candles stick up from the cake an additional 5\dfrac4{10}\text{ cm}5 10 4 ​ cm5, start fraction, 4, divided by, 10, end fraction, start text, space, c, m, end text. What is the total height of the cake and candles?

Answers

The total height of the cake and candles is [tex]16\frac{1}{10}[/tex]

What is Fraction?

A fraction represents a part of a whole.

Ava's birthday cake is [tex]11\frac{7}{10}[/tex]

Her candles stick up from the cake an additional [tex]5\frac{4}{10}[/tex]

We need to find the total height of the  cake and candles

We have to add both the heights.

[tex]11\frac{7}{10}[/tex] +  [tex]5\frac{4}{10}[/tex]

107/10+54/10

161/10

[tex]16\frac{1}{10}[/tex]

Hence, the total height of the cake and candles is [tex]16\frac{1}{10}[/tex]

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The price of a pair of jeans is $75 a store then wanted to mark them up 20%. What is the price of the jeans after the markup?

Answers

The price of the jeans after the markup is equal to $90.

How to calculate the markup price?

Generally speaking, the markup price of a product can be calculated by multiplying the cost price by the markup value.

Markup price = 20/100 × 75

Markup\; price = 0.2 × 75

Markup price = $15

Now, we can find the new cost of the jeans after the markup is applied as follows:

New cost = Markup price + Cost price

New cost = $15 + $75

New cost = $90.

In conclusion, we can logically deduce that new cost of the jeans after the markup is applied is 90 dollars.

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Avery and Mason are both swimming laps in the same swimming pool. Avery can swim 3 laps in 3 minutes. Mason can swim 5 laps in 4 minuets. Based on these rates, which of these statements is NOT true?

Answers

Answer:

Avery can swim 3 laps in 3 minutes.

According to the given rate the incorrect option is Mason can swim 0.5 lap farther than Avery in 2 minutes.

What is ratio?

Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

Given that, Avery can swim 3 laps in 2 minutes. Mason can swim 5 laps in 4 minuets.

Their unit rates are =

Avery = 1.5 laps per minute

Manson = 1.25 laps per minute

Now checking the options,

a) Avery can swim 6 laps in 4 minutes :-

6/4 = 1.5 [correct]

b) Mason can swim 2.5 laps in 2 minutes :-

2.5/2 = 1.25 [correct]

c) Avery can swim 2 laps farther than Mason in 8 minutes :-

Avery laps in 8 minutes = 1.5 × 8 = 12 laps

Mason laps in 8 minutes = 1.25 × 8 = 10 laps

Therefore, Avery is 2 laps farther than Mason [correct]

d) Mason can swim 0.5 lap farther than Avery in 2 minutes :-

Mason in 2 minutes = 1.25 × 2 = 2.5 laps

Avery laps in 2 minutes = 1.5 × 2 = 3 laps

Since, Avery laps are 0.5 farther than Mason, so the option is incorrect.

Hence, the incorrect option is Mason can swim 0.5 lap farther than Avery in 2 minutes.

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The complete question is;-

Avery and Mason are both swimming laps in the same swimming pool.

Avery can swim 3 laps in 2 minutes.

Mason can swim 5 laps in 4 minutes.

Based on these rates, which statement is NOT true?

a) Avery can swim 6 laps in 4 minutes.

b) Mason can swim 2.5 laps in 2 minutes.

c) Avery can swim 2 laps farther than Mason in 8 minutes.

d) Mason can swim 0.5 lap farther than Avery in 2 minutes.

4) If (6,4) and (3 ,m) are two perpendicular vectors, then m =​

Answers

Answer:

Step-by-step explanation:

If two vectors are perpendicular to each other then their scalar(dot) product must be zero.

Therefore,  

A

.

B

=0

(2

i

^

+2

j

^

+3

k

^

)⋅(3

i

^

+6

j

^

+n

k

^

)=0

6+12+3n=0

3n=−18

n=−6

The total area of Pennsylvania is about 46,000 square miles. Which of the following is 46,000 expressed in scientific notation?

Answers

The number 46,000 expressed in scientific notation is 4.6 * 10^4

How to express the number in scientific notation

From the question, we have the following parameters that can be used in our computation:

The total area of Pennsylvania is about 46,000 square miles

This means that

Area = 46,000 square miles

So, we have

Area = 4.6 * 10000 square miles

Express 10000 as 10^4

Area = 4.6 * 10^4 square miles

Hence, the expression is 4.6 * 10^4 square miles

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what is the volume of the cone to the nearest whole unit?
871in.3
1,307in. 3
1,415in. 3
2,614in.3

Answers

Using the volume formula, the required volume of the cone is (A) 871in³.

What is a cone?

A cone is a three-dimensional geometric form with a flat base and a smooth tapering apex or vertex.

A cone is made up of a collection of line segments, half-lines, or lines that connect the apex—the common point—to every point on a base that is in a plane other than the apex.

Christmas trees, carrots, party hats, ice cream cones, and traffic cones are five instances of cones in everyday life (used as road dividers).

Explanation: A cone is a three-dimensional solid shape with a circular base at one end and one pointy edge serving as a vertex.

So, the volume of a cone is:

πr²h/3

Now, insert values as follows:

πr²h/3

π8²13/3

871.26836

Round off: 871in³

Therefore, using the volume formula, the required volume of the cone is (A) 871in³.

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Complete question:

what is the volume of the cone to the nearest whole unit?

A. 871in.3

B. 1,307in. 3

C. 1,415in. 3

D. 2,614in.3

First option is correct. The volume of the cone to the nearest whole unit is 871 in³

Given data radius r=8in  and height h=13in

Volume denoted by V

Volume can be defined as how much space can hold by the boundaries 3-dimensional figure.

Formula for Volume of the cone is V=[tex]\pi r^{2} \frac{h}{3}[/tex]

Submit the given values in the above formula.

     V=[tex]\pi 8^{2} \frac{13}{3}[/tex]

      V=π*64*(13/3)    

Simplify and calculate the final result

      V=871.20 in³

Therefor, The volume of the cone to the nearest whole unit is 871 in³

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what is 190lbs in kg ?

Answers

The pound is defined as 453.59237 grams. Using the formula to convert pounds to kilograms, you find that 190 pounds equals 86.18 kilograms.

We know that :

1 lb/ Pound = 0.453592 kilogram

therefore,

190 lbs/ Pound =  86.18 kilogram.

Using the formula to convert pounds to kilograms, you find that 190 pounds equals 86.18 kilograms

To convert 190 pounds (pounds) to kilograms (kg), you must use the conversion factor 1 pound = 86.18 kilogram.

Therefore,

we multiply 190 pounds by 86.18 kg/lb to get the equivalent weight in kilograms:

190 pounds x 0.45359237 kg/lb = 86.1825503 kilogram

Therefore,

190 pounds is 86.18 kilogram.

To understand the conversion factor, you need to know that pounds and kilograms are units of mass, but are used in many parts of the world. In the United States and some other countries, the accepted unit of mass is the pound, while most other countries use the kilogram.

A conversion factor connects the number of pounds to the number of kilograms, so you can easily convert from one unit of measure to another. It is important to use the correct conversion factor for accurate conversion.

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Fill in each blank with the appropriate word or number.

In a 45-45-90 triangle, the legs are always (unequal or equal) and the hypotenuse is always *blank* times either leg.

Answers

In a 45-45-90 triangle, the legs are always equal and the hypotenuse is always [tex]\sqrt{2}[/tex] times either leg.

What is an isosceles right angled triangle?

It has two equal sides, and those two equal sides make 90 degrees (right angle) internally. The triangles on either side of the diagonals are isosceles and congruent.

We are given that;

Angles of triangle= 45-45-90

Now,

This is a special case of a right triangle where the two acute angles are equal to 45 degrees each, and it has some unique properties, such as the fact that the two legs are congruent, and the hypotenuse is the square root of 2 times longer than each leg. This relationship can be expressed mathematically as:

If a and b are the lengths of the legs of a 45-45-90 triangle, and c is the length of the hypotenuse, then:

a = b

c = a * sqrt(2) = b * sqrt(2)

Therefore, in this right triangle the answer will be equal and [tex]$\sqrt{2}$[/tex] times.

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What are the 9 rules of inference?

Answers

The nine principles of inference are logical guidelines that let us draw reasonable conclusions from a set of assertions or propositions

So the nine principles of inference are logical guidelines that let us draw reasonable conclusions from a set of assertions or propositions. These guidelines are frequently used in mathematics, philosophy, and computer science to establish the veracity of claims or create new assertions from preexisting ones. These are the nine inference rules:

Modus Ponens (MP) states that if p implies q and p is true, q must also be true.

Modus Tollens (MT) states that if p implies q but q is untrue, then p is untrue.

Hypothetical Syllogism (HS): P implies R if and only if P implies Q and Q implies R.

Disjunctive Syllogism (DS): If p or q and p are both true, then q is true.

When adding (ADD), if p is true, p or q and these guidelines are frequently used in mathematics, philosophy, and computer science to establish the veracity of claims or create new assertions from pre existing ones. These are the nine inference rules.

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7. Find the area of H
8. Find the radius of H

Answers

Answer:

7. 45

8. 78

Step-by-step explanation:

Múltiples that are shared by two or more numbers are

Answers

Answer:

common multiples

Step-by-step explanation:

What is the price of a mobile whose market price is Rs 15,000 and 13% VAT was levied after allowing 20% discount on it?​

Answers

The cell phone costs Rs 13,560 after a 20% discount and 13% VAT are applied.

Market price and discount.

First, we need to calculate the discount amount given on the market price of the mobile phone:

Discount = 20% of the market price

Discount = 0.20 x 15000

Discount = 3000

So, the discounted price of the mobile phone is:

Discounted Price = Market Price - Discount

Discounted Price = 15000 - 3000

Discounted Price = 12000

Now, we need to add the VAT amount to the discounted price:

VAT = 13% of the discounted price

VAT = 0.13 x 12000

VAT = 1560

Therefore, the final price of the mobile phone, including the discount and VAT, is:

Final Price = Discounted Price + VAT

Final Price = 12000 + 1560

Final Price = 13560

So, the price of the mobile phone, after allowing a 20% discount and levying 13% VAT, is Rs 13,560.

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A classroom has a perimeter of 90 feet. What is the perimeter of the
classroom in yards?
270 yards
30 yards
300 yards
27 yards

Answers

30 yards because 3 feet=1 yard
30 yards 3 feet equals one yard 90 divided by 3 is 30

Find the value of each variable show proofs

Answers

The value of each variable include the following:

x = 5 units.

y = 5√2 units.

How to determine the value of x?

From the image attached above, we can logically deduce that the triangle is a right-angled triangle with the following side lengths:

Opposite side = 5.

Adjacent side = x.

Hypotenuse = y.

Therefore, we would determine the value of x by using Tan trigonometric function:

Tanθ = Opposite side/Adjacent side

Tan45 = 5/x

x = 5Tan45

x = 5(1)

x = 5 units.

Next, we would determine the value of y by using Pythagorean's theorem. Mathematically, Pythagorean's theorem is given by this mathematical expression:

a² + b² = c²

Where:

a, b, and c represents the side lengths of a right-angled triangle.

y² = 5² + 5²

y = √50

y = 5√2 units.

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In a bimodal histogram, the two highest bars will have the same height.
True or False

Answers

In a bimodal histogram, the two highest bars will have the same height.

The above statement is TRUE that is n a bimodal histogram, the two highest bars will have the same height.

A histogram is said to be bimodal if it has two peaks. The only defining characteristic about this distribution is that it has 2 peaks of the same height. Bimodality sometimes occurs when the data set consists of observations from two different group of individuals. If this shape occurs, the two sources should be separated and analysed separately.

A bimodal histogram shape often reflects the presence of two different processes being "mixed" in the displayed data. For example, the data could contain information from two different machines, two shifts, weekdays and weekends, two offices, etc.

In some cases bimodal histogram indicates that the sample can be divided into two sub samples that differ from each other in some way.

Thus in a bimodal histogram, the two highest bars will have the same height.

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expression by 1 2 +1 3 || + −1+ 4 + rewrite the expression by adding the whole numbers first ​

Answers

The value of the expression is 28.

What is an expression?

An expression contains more than two variables or numbers with addition, subtraction, multiplication, and division.

Example: 4.4 + 3x + 9.9y = 7 is an expression.

We have,

12 + 13 + -1 + 4

All the terms are whole numbers.

= 25 + 4 - 1

= 29 - 1

= 28

Thus,

28 is the value.

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find
15% of 540
45% of 320
20% of 95


And thank you for answering my god bless you

Answers

Answer:

81, 144 and 19

Step-by-step explanation:

What is a percentage?

A percentage is a ratio or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.

To solve for the first problem, we can use this equation:

15% × 540 = 81

For the second:

45% × 320 = 144

And the third:

20% × 95 = 19

Therefore, 81, 144 and 19 are the answers.

I need help with this please

Answers

The Answer is quadrilateral

Where can I find free SAT practice tests?

Answers

There are several resources where you can find free SAT practice tests, including:

1.Official SAT Practice Tests:

2.Khan Academy:

3.Ivy Global:

4.PrepScholar

5.CrackSAT

6.Peterson's

There are several resources where you can find free SAT practice tests, including:

1.Official SAT Practice Tests: The College Board, the organization that creates and administers the SAT, offers eight official practice tests for free on their website. These tests are the most accurate representation of the real exam.

2.Khan Academy: The College Board has partnered with Khan Academy to provide free SAT practice materials, including full-length practice tests and personalized study plans based on your performance.

3.Ivy Global: Ivy Global offers a free SAT practice test with answer explanations that mimic the actual test.

4.PrepScholar: Prep Scholar offers a free online SAT practice test that closely resembles the real exam.

5.CrackSAT :  CrackSAT offers a wide range of free practice tests, including SAT Subject Tests.

6.Peterson's: Peterson's offers a free online practice test that includes a score report with detailed feedback.

Remember, the more practice you have, the more prepared you'll be for the SAT. So take advantage of these free resources and practice as much as you can.

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The graph of a quadratic function has intercepts of -3 and 2 and a F-intercept of

Answers

The quadratic equation with x-intercepts of x = -3 and x = 2, with an intercept of y = -6, is given as follows:

y = x² + x - 6.

How to define the quadratic equation?

A quadratic equation with roots x* and x** is defined as follows:

y = a(x - x*)(x - x**).

In which a is the leading coefficient.

Considering the x-intercepts, the roots of the function are given as follows:

x* = -3, x** = 2.

Hence:

y = a(x + 3)(x - 2)

y = a(x² + x - 6).

The y-intercept is of y = -6, meaning that when x = 0, y = -6, hence the leading coefficient a is given as follows:

-6a = -6

6a = 6

a = 6/6

a = 1.

Hence the function is defined as follows:

y = x² + x - 6.

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. Ed Naiman.
Installment loan of $2,500.00.
Finance charge of $193.25.
Requires 24 monthly payments.
What is the APR?
I

Answers

Answer:

M = (2500 + 193.25) / 24 = $113.03

We can use the monthly payment to calculate the finance charge over the life of the loan, which is equal to 24 times the monthly payment minus the principal amount:

Finance charge = 24 * M - 2500 = 24 * 113.03 - 2500 = 193.25

Now that we have the finance charge, we can calculate the APR:

APR = (Finance charge / Principal amount) * (12 / Number of months) * 100%

APR = (193.25 / 2500) * (12 / 24) * 100%

APR = 7.73%

So, the APR of this loan is 7.73%.

A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective. A store clerk generates random numbers to simulate a random sample of this shipment. The clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through 5,000 represent working MP3 players. The results are given.


2, 346, 725, 166, 3,722, 1,589, 576, 1,031, 114, 1,307, 3,479


Can the manufacturer assume the prediction is valid? Explain your answer.


______ the sample is ________ compared to the size of the shipment.

1. No | 1. biased

2. Yes | 2. too small

| 3. biased

| 4. random

Answers

No, the sample is random compared to the size of the shipment.

What is a Sample Size?

The number of individuals or observations included in a study is referred to as the sample size.

The sample is not large enough to be representative of the entire shipment, and therefore the manufacturer cannot assume the prediction is valid.

A random sample of 13 out of 5,000 MP3 players is too small to accurately predict the proportion of defective MP3 players in the entire shipment.

Additionally, the way the clerk generated the sample by using numbers 1 through 300 to represent defective MP3 players may have introduced a bias into the sample.

To accurately assess the proportion of defective MP3 players, a larger, more representative sample would be necessary.

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If point A is (- 6, 24) apply a dialation of 1/2 to find A^ prime

Answers

A' is a dilation can only make the point bigger!

How do you find the dilation of a point?

The coordinate plane movement of a point is referred to as dilation. To achieve this, find the horizontal and vertical distances from the center of dilation, multiply them by a scale factor, and then add those results to get the coordinates of the dilated point.

A dilatation is a kind of transformation that increases or decreases the size of a figure (referred to as the preimage) to produce a new figure (called the image). The size of the dilation image relative to the preimage is determined by the scale factor, r. k will always have a value larger than zero.

Therefore, the correct answer is option a) a dilation can only make the point bigger!

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29 Minimum wage (dollars per hour) 0 10 20 Minimum Wage +X 30 40 50 60 70 80 Years since 1940 The scatterplot above shows the federal-mandated minimum wage every 10 years between 1940 and 2010. A line of best fit is shown, and its equation is y = 0.096x - 0.488. What does the line of best fit predict about the increase in the minimum wage over the 70 year period? (A) Each year between 1940 and 2010, the average increase in minimum wage was 0.096 dollars. B) Each year between 1940 and 2010, the average increase in minimum wage was 0.49 dollars. C) Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.096 dollars. D) Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.488 dollars.​

Answers

The information which the line of best fit predict about the increase in the minimum wage over the 70 year period is that: C) Every 10 years between 1940 and 2010, the average increase in minimum wage was 0.096 dollars.

What is a line of best fit?

In Mathematics, a line of best fit is sometimes referred to as a trend line and it can be defined as a statistical or analytical tool that is commonly used in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.

Based on the scatter plot, an equation which represents the line of best fit include the following:

y = 0.096x - 0.488.

In this context, we can logically deduce that the initial minimum wage is  $0.488 and the average increase in minimum wage is equal to 0.096 dollars each year between 1940 and 2010.

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Help with geometry right triangles word problems

Answers

answer: 29.61
Referring to my photo, x is the length of the ladder.
Set up a trigonometric ratio to determine x
sin(71) = 28/x
Isolate x:
Multiply both side of the equation by x
sin(71)x = 28
Divide both sides by sin(71)
x = 28/sin(71)
Input into a calculator,
Which will get you the answer of
29.61

What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.

Answers

The additional information required to prove  that ΔXYZ and ΔFEG are congruent is  ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE. So option 1 and 5 are correct.

Here in the figure it is given that ∠F and ∠X are congruent. To prove the triangle is congruent we have to prove that either two sides including the angles are congruent or another angle and included side is congruent.

When ∠Z ≅ ∠G and XZ ≅ FG, two angles and included sides are congruent, so triangles are congruent.

∠Z ≅ ∠G and ∠Y ≅ ∠E , we can not apply ASA, since three angles are mentioned

XZ ≅ FG  and ZY ≅ GE , Two sides are given, ASA cannot be applied, we need two angles

XY ≅ EF and ZY ≅ FG, is not possible.

∠Z ≅ ∠G and XY ≅ FE, one corresponding side and two angles are equal, so ΔXYZ ≅ ΔFEG according to ASA.

So, the correct answer is option 1 and option 5.

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The complete question is as follows and image is given below

What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.

∠Z ≅ ∠G and XZ ≅ FG

∠Z ≅ ∠G and ∠Y ≅ ∠E

XZ ≅ FG and ZY ≅ GE

XY ≅ EF and ZY ≅ FG

∠Z ≅ ∠G and XY ≅ FE

Answer:

1 and 5 are correct

Step-by-step explanation:

Consider the función h(x)=2|x+4|-5

Answers

Graph the absolute value using the vertex and a few selected points.

Using your calculator, graph these functions and find the solution to the system.

(-4, 8)

(-2, -4) and (2, 4)

No solution: They do not intersect.

(0, -4) and (0, 8)

Help please!! 20 points and brainliest
Edit: The answer is B

Answers

(-2, -4) and (2, 4) is the solution to the given system of simultaneous equation

Solving system of equation graphically.

Given the system of equation

f(x) = x^2 + 2x - 4

g(x) = -2x^2 + 2x + 8

When solving graphically, the point of intersection of both curves on an xy plane is the solution to the system of equation.

According to the graph attached, the solution to the system of equation is (-2, -4) and (2, 4).

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Answer: B

Step-by-step explanation: I took the test

How do you change mL to ounces?

Answers

Converting milliliters (mL) to ounces (oz) involves using a conversion factor. The conversion factor expresses the relationship between the two units of measurement and is given by 1 mL = 0.033814 oz

To convert milliliters (mL) to ounces (oz), you can use the following conversion factor:

1 mL = 0.033814 oz

This means that one milliliter is equivalent to 0.033814 ounces. To convert a given volume in milliliters to ounces, we can multiply that value by the conversion factor of 0.033814.

For example, let's say we want to convert 500 mL to ounces. We can do this by multiplying 500 mL by 0.033814 oz/mL:

500 mL x 0.033814 oz/mL = 16.907 oz

Therefore, 500 mL is equal to approximately 16.907 ounces.

Note that the conversion factor of 0.033814 is exact, meaning that it has an infinite number of decimal places. However, when we round off the final result, we should choose an appropriate number of decimal places based on the level of precision that we need for the particular application.

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Other Questions
A pressure gage and a manometer are connected to a compressed air tank to measure its pressure. If the reading on the pressure gage is 11 kPa, determine the distance h between the two fluid levels of the water filled manometer. Assume the density of water is 1000 kg/m^3 and the atmospheric pressure is 101 kPa. Find all other zeros of P(x)=x^3-6x^2+18x-40 , given that 1+3i is a zero. You deposit $200 each year in an account for 15 years and then $400 each year in the same account for the 15 years after that. If you are earning 8% annual compound interest in the account the entire time how much do you have in 30 years? Please enter your answer in whole dollars without a $ sign. What is the specific heat of a 3.78 kg object that absorbs 678 J as the temperature increases by 4.25 K? using diagonals from a common vertex, how many triangles could be formed from a 21-gon? Formation of the Solar System Lab Report Instructions: In this virtual lab, you will investigate the law of universal gravitation by manipulating the size of the star and the positions of planets within Solar System X. Record your hypothesis and results in the lab report below. You will submit your completed report. Name: Include your name, instructor's name, date. Zoe Ganues 2/22/23 Objectives(s): In your own words, what is the purpose of this lab? The purpose of this lab is to Hypothesis: In this section, please include the if/then statements you developed during your lab activity. These statements reflect your predicted outcomes for the experiment. If the mass of the sun is 1x, at least one planet will fall into the habitable zone if I place a planet in orbits , _ and ____, and all planets will orbit the sun successfully. If the mass of the sun is 2x, at least one planet will fall into the habitable zone if I place a planet in orbits___, ____, ____, and ____, and all planets will orbit the sun successfully. If the mass of the sun is 3x, at least one planet will fall into the habitable zone if I place a planet in orbits___, ____, ____, and ____, and all planets will orbit the sun successfully. Procedure: The materials and procedures are listed in your virtual lab. You do not need to repeat them here. However, you should note if you experienced any errors or other factors that might affect your outcome. Using the summary questions at the end of your virtual lab activity, please clearly define the dependent and independent variables of the experiment. Data: Record your observation statements from Space Academy. When the mass of the sun is larger, Earth moves around the sun at a ______ (faster, slower) pace. When the mass of the sun is smaller, Earth moves around the sun at a ______ (faster, slower) pace. When Earth is closer to the sun, its orbit becomes _____ (faster, slower). When Earth is farther from the sun, its orbit becomes _____ (faster, slower). For each trial, record the orbit number of each planet from the sun. Be sure to indicate the number of planets in the habitable zone after each trial. Create a different configuration of planets for each trial. An example has been supplied for you. Orbit Number Planet One Orbit Number Planet Two Orbit Number Planet Three Orbit Number Planet Four Number of planets in the habitable zone Number of planets left in successful orbit Example: sun's mass 1x 1 3 5 6 1 2 sun's mass 1xTrial One sun's mass 1xTrial Two sun's mass 2xTrial One sun's mass 2xTrial Two sun's mass 3xTrial One sun's mass 3xTrial Two Conclusion: Your conclusion will include a summary of the lab results and an interpretation of the results. Please answer all questions in complete sentences using your own words. Using two to three sentences, summarize what you investigated and observed in this lab. You completed three terra forming trials. Describe how the sun's mass affects planets in a solar system. Use data you recorded to support your conclusions. In this simulation, the masses of the planets were all the same. Do you think if the masses of the planets were different, it would affect the results? Why or why not? How does this simulation demonstrate the law of universal gravitation? It is the year 2085, and the world population has grown at an alarming rate. As a space explorer, you have been sent on a terraforming mission into space. Your mission to search for a habitable planet for humans to colonize in addition to planet Earth. You found a planet you believe would be habitable, and now need to report back your findings. Describe the new planet, and why it would be perfect for maintaining human life. The direction toward the shoulder is known as __________. Write one paragraph on something that has recently made you happy (also I'm in Grade 8 so I would really like it if you could write a paragraph about something an eighth grader would write about). Which of the following are examples of an economic signal?a) The market price for toilet paper has not changed over the last 10 years.b) Companies begin hiring more people after a long period of high unemployment in the U.S.c) Prices in housing markets fall.d) Purchases of floppy disks and CDs decline dramatically as the demand for online streaming of similargoods increases. What limits the lifespan or lifetime of data in a computer or network?ARPTTLACKSYN The reserved powers of the state governments can best be described as those powersResponsesExercised by both nation and state governmentExercised by both nation and state governmentNot specifically granted to the nation government or denied to the statesNot specifically granted to the nation government or denied to the statesListed specifically in the 10th amendmentListed specifically in the 10th amendmentGranted to states as part of the necessary and proper clause A) In the sequence for which the general term is t_(n)=(n^(2)-1)/(3n^(2)),find the value of n, if any, for which t_(n)=0.3325. B) Find S_(n) for the arithmetic series 16+13+10+cdots and determine the value of n for which S_(n)=-6.S_(n)=. The value of n for which S_(n)=-6 is . Beverly reviewed Nickis' personnel files and determined that there was no documentation that Nicki had previously been reported for neglect of her duties. When using the progressive discipline process, what actions should Beverly plan? rank the following in chronological order of how scientists think meteorites or comets striking earth caused mass extinctions, beginning with the first event at the top of the list. why is the right renal artery longer than the left renal artery? what is the second-largest surface transportation mode Agency: Group of answer choices:A. Refers to a person's ability to act according to their own willB. Is shaped by the structural rules a person encounters and the resources at their disposalC. Both A and BD. None of the above 4. What is found in the C horizon of a soil profile?A. Partially weathered rockB.the subsoil layerC. topsoilD. Mostly humus and litter the primary mirror of telescope a has a diameter of 20 cm, and telescope b has a diameter of 100 cm. how do the light gathering powers of these two telescopes compare? Revenge. Jane, a first-year law student, while walking to school in inclement weather, accidentally slipped on ice knocking down Greg, another first-year law student, breaking his glasses. He was very angry with Jane and let the air out of one of her car tires. Greg also decided to sue Jane for negligence, claiming as damages $300 for his broken glasses. He decided that he already knew all about the law and did not need a lawyer. Greg sued Jane in state court. Jane, in the same lawsuit, brought an action against Greg for letting the air out of her tire. At trial in state court, Jane told the judge that a friend, Susie, told her that she saw Greg let the air out of Jane's tire. The judge disallowed Jane's testimony on that issue. Susie, however, who was in the courtroom also came and testified to that effect. The state court judge ruled in favor of Jane. Greg said that he was not giving up and that he would seek double damages on appeal in federal court. Jane and Greg live in different states when not attending school. After trial, Jane reported Greg's actions in letting the air out of her tire to the police who said that they would proceed with a criminal action against Greg. Was the judge correct in disallowing Jane's testimony regarding what Susie told her about the tire? Multiple Choice Yes, the judge was correct to disallow the testimony because Susie's testimony was better evidence and she was in the courtroom Yes, the judge was correct to disallow the testimony because it was offered by a defendant, not an independent witness No, the judge was wrong and should have considered that testimony