What is the vertex of the function?
f(x) = 3(r - 2)2 + 4

Answers

Answer 1

Answer:

(2,4)

Step-by-step explanation:

The vertex of a parabola in the form of [tex]y=a(x-h)^2+k[/tex] is [tex](h,k)[/tex]. In this function, we have [tex](2,4)[/tex] as our vertex.


Related Questions

A right triangle with coordinates A (-2,5), B (-2, 9) and C (4,5) is first rotated 90 degrees counterclockwise and
then translated 2 units left and 3 units down to form triangle A'B'C'. What is the measure of angle B'A'C',
in degrees, in the resulting figure?

Answers

Answer:

90 degree

Step-by-step explanation:

since the original angle BAC is 90 degree, no matter the triangle is rotated or translated, the angle remain unchanged

Write the equation of the ellipse with a center at (5,-2), one vertex at (2, -2) and a focus at
(5+ √5,-2)

Answers

On solving the provided question we can say that - the value of the ellipse will be (5+ , root5)

what is ellipse?

In mathematics, an ellipse is a planar curve that encompasses two focus points and ensures that the sum of the two distances from any point on the curve to the focal points is constant. In doing so, the circle—a particular variety of ellipse with two equal focus points—is generalized. The ellipse, whose eccentricity is less than 1, indicates the area containing the points whose distances from its two foci add up to a certain amount. Running tracks in sporting arenas and 2D egg forms are two straightforward examples of ellipses in daily life.

here we have,

center at (5,-2), one vertex at (2, -2) and a focus at

(5+ √5,-2)

so the answer is (5+ , root5)

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For brainliest and 50 points!!!​

Answers

The statements in if-then form are given as follows:

If it is right-angled, then it is 90 degreesIf x=6, then x² = 36If two angles measure 180°, then they are supplementary If your body temperature is 103°, then you have a fever If is 6pm, then it is time for dinnerIf there is gas in the tank, then the car runs If there there are 12 eggs if the carton, then it is fullIf a car is leaking antifreeze, then it has a problemIf a dog is old, then you can't teach it new tricksIf a deer has white fur and pink eyes, then it is albino

What is the value of an IF-Then Construct?

If-Then statements are a sort of variable logic that allows the variable's output to be determined conditionally. All If-Then statements must specify the circumstances and actions that should occur when those criteria are fulfilled.

If-then arguments, also known as conditional arguments or hypothetical syllogisms, are deductive logic's workhorses. They are a loosely defined class of logical arguments with an if-then statement (a conditional) as a premise. The conventional form of the conditional is If P, Q follows.

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1
Multiple Choice Question
What type of number is 105?
Choose all that apply
Whole number
Integer
Rational
Irrational

Answers

Analyzing the options given in the question, the options that satisfy for the number 105 are: Integer, Rational, Whole number.

What are whole numbers?

All natural numbers and 0 are included in the category of whole numbers. They are a subset of real numbers, which exclude negative numbers, decimals, and fractions.

What are rational numbers?

A rational number is a number which is in the form of p/q where p and q are both integers and q is not equal to zero.

The number 105 is , Whole number since it falls between all the numbers between 0 to positive infinity. Similarly, the number is an Integer since it does not contain any fractions or decimals. And, the number 105 is rational number since it can be expressed in the form of 105/1.

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What is 17 divided by 9

Answers

The answer is 1.8 recurring

5. A candy company used 12 gallons of syrup to make 6 batches of candy. What is the rate of syrup per batch?​ (Please explain!)

Answers

Answer: 2 gallons of syrup per batch

Step-by-step explanation:

12/6=2

√2 (2-2√10) how do you simplify

Answers

Answer:

2√2- 4√5

Step-by-step explanation:

√2 (2-2√10)

2√2- 2√20

2√2- 2√(4*5)

2√2- 2*2√5

2√2- 4√5

Anyone know about this thanks :)

Answers

The height of the rock ledge is 20 meters and height of the tree is 59 meters.

What are heights and distances?

Heights and Distances is a study about the applications of Trigonometry. It has many real-life applications, such as measuring the object’s height, depth of the object, the distance between two celestial objects etc. The formulas and the ratios of trigonometry are helpful in the study of heights and distances.

From a rock ledge, the angle of elevation to the top of a tree is 22°. The angle of depression to the base of the tree is 12°.

a) Let the height of the rock ledge be x.

Now, tan12°=x/96

0.2125=x/96

x=20.4 meters

x≈20 meters

b) Let the height of the tree be y

Here, part of the tree is y-20

Now, tan22°=(y-20)/96

0.404=(y-20)/96

y-20=38.784

y=58.784

y≈59 meters

Therefore, the height of the rock ledge is 20 meters and height of the tree is 59 meters.

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Your company is considering a new project that will require $250,000 of new equipment at the start of the project. The equipment will have a depreciable life of eight years and will be depreciated to a book value of $10,000 using straight-line depreciation. The cost of capital is 12 percent, and the firm's tax rate is 21 percent. Estimate the present value of the tax benefits from depreciation.

Answers

The present value of the tax benefits from depreciation which is a non cash expenditure under capital budgeting decisions is $10432.80

What is Depreciation?

According to the prudence concept of accounting convention, Depreciation is a non cash expenditure that has been charged against the profit. Depreciation is value that amortized over useful life of tangible fixed asset. The absolute decline in the value of asset due to obsolesce, usage of asset, wear & tear of fixed asset is referred as depreciation.

As per accounting standard on property, plant & equipment depreciation can be computed by straight line method and written down value method.

While analyzing the capital budgeting decision from the equipment to be acquired the cash inflows and outflows during the currency of the project shall be accounted for.

The tax benefit from depreciation expenses will be consider as cash inflow. The same shall be calculated by the present value annuity factor for the as follows:

cost of capital = 12 %

Depreciation = $10000

Life of the project = 8 years

Tax rate = 21%

Present value annuity factor (PVAF) at 12% for 8 years will be:

0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404

Grand total of the (PVAF) at 12% = 4.968

Now multiply the PVAF with depreciation amount

Present Value of Depreciation = 4.968 × 10000 = $49,680

Tax benefit from depreciation = $49,680 × 21% = $10432.8

Thus the tax Tax benefit from depreciation is $10432.80

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4 glasses cost £24 in total how much do seven glasses cost

Answers

Using simple unitary method process in the given problem with the provided values, The answer is £42 .

What is unitary method?

The unitary method is a method of solving mathematical problems in which the relationship between a quantity and its unit of measurement is used to find an unknown quantity. It involves expressing the given quantity in terms of a unit, then solving for the unknown quantity in terms of the same unit.

What are arithmetic operators?

Arithmetic operators are used to perform basic mathematical operations, such as addition (+), subtraction (-), multiplication (*), division (/), and modulus (%). They take numerical values (either literals or variables) as their operands and return a single numerical value. These are widely used in mathematical computations, like in programming languages, spreadsheets and calculator apps.

4 glasses cost £24.

1 glass cost £24/4 = £6

7 glasses cost = £6 * 7 = £42

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Please help will mark Brainly

Answers

Answer: 12

Step-by-step explanation: There are about 12 grams of carbohydrates in a 8 fluid ounce (240 mL) glass of whole milk. The amount of carbohydrates in milk can vary slightly depending on the type of milk you are drinking. For example, skim milk has slightly fewer carbohydrates (about 11 grams per 8 fluid ounces) than whole milk because the fat has been removed. On the other hand, milk that is high in fat, such as heavy cream, has even more carbohydrates (about 4 grams per fluid ounce).

Between 2020 and 2021, the population of a town decreased by 35%
In 2021, the population of the town was 94 900. What was the population of the town in 2020?​

Answers

Answer:

Step-by-step explanation:

if 2021 is 35% decrease of the original number then 2020 is 100% ,and 2021 = 65%.

so, we do the rule of three:

x = (94900 * 100)/ 65

x = 146000

and that is the population in 2020.

Answer:

Hey there! Based on the information provided, it seems that the population of the town decreased by 35% between 2020 and 2021. We can use this information to calculate that in 2021, the population of the town was 65% of its population in 2020. If the population of the town in 2021 was 94,900, then we can use this information to calculate that the population of the town in 2020 was 146,155. Does that make sense?

2/3-5/6 over 3/4. What’s the answer

Answers

The value of (2/3 - 5/6) / 3/4 is -2/9.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

(2/3 - 5/6) / 3/4

2/3 - 5/6

= (4 - 5)/6

= -1/6

Now,

(-1/6 )/(3/4)

= -1/6 x 4/3

= -4/18

= -2/9

Thus,

The value is -2/9.

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Which conditional statement has a false converse? If a figure is a square, then it has four sides. If a point has x-coordinate 0, then it lies on the y-axis. If two angles are congruent, then they have the same measure. If two planes are parallel, then they have no points in common.

Answers

The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.

What is the conditional statement?

There have been two main categories of arguments in the studies of logic: conditional statements and polyamorous statements. These assertions, which are referred to as compound statements, are created by combining two other statements.

The converse statement should also be true when its condition is reversed.

Let's check all the options. Then we have

A.  If a figure is a square, then it has four sides. The converse of the statement is false.

B.  If a point has an x-coordinate 0, then it lies on the y-axis. The converse of the statement is true.

C.  If two angles are congruent, then they have the same measure. The converse of the statement is true.

D.  If two planes are parallel, then they have no points in common. The converse of the statement is true.

The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.

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how many full cases and additional items are needed to fulfill the order 56 items ordered 6 items per case

Answers

There are 9 full cases and 2 additional items are needed to fulfill the order 56 items ordered 6 items per case.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

56 items ordered for 6 items per case.

Now, After divide the quotient shows the number of full case and remainder shows the additional items.

Hence, We get;

 6 ) 56 ( 9

      54

   ---------

        2

Thus, There are 9 full cases and 2 additional items are needed to fulfill the order 56 items ordered 6 items per case.

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In this case, how would it be resolved if it does not indicate any base, only brand X

Answers

The coordinates of the vertices of the square with height x is given as follows:

H(-x,x).I(0,x).J(0,0).K(-x,0).

What is a square?

A square is a figure for which all the four side lengths are congruent, that is, they have the same measure.

The side length of the square in this problem is given as follows:

x.

As the height is equals to the base.

The vertex J represents the origin, hence it has coordinates given as follows:

J(0,0).

Then the remaining coordinates of the square are given as follows:

H(-x,x). -> x units left and x units up from the origin.I(0,x). -> x units up from the origin.K(-x,0). -> x units left from the origin.

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suppose you have a credit card debt of $6000. Last month, the bank charged you $55 interest on the debt. The solution to the equation 55= 6000/12 * r represents the annual interest rate in the credit card, r. Find the annual interest rate on the credit card

Answers

Answer: The formula for the interest charged on a credit card debt is:

Interest = (Principal * Annual Interest Rate) / 12

We know that the interest charged last month is $55, and the principal (the credit card debt) is $6000, so we can substitute these values into the formula and solve for the annual interest rate:

55 = (6000 * r) / 12

To find the annual interest rate, we will solve for r.

r = (55 * 12) / 6000

r = 0.09 which is a 9% annual interest rate.

So, the annual interest rate on the credit card is 9%.

Step-by-step explanation:

One number is three more than twice another number. If the sum of the two numbers is 30 , find the numbers

Answers

Answer:

9 = 1st number

21 = 2nd number

Step-by-step explanation:

given that :

1st number = x __eq_i

2nd number (in terms of the first number) = 2x + 3 __eq_ii

1st number + 2nd number = 30 __eq_iii

input eq_i and eq_ii in eq_iii

x + 2x + 3 = 30

3x + 3 = 30

3x = 30 - 3

x = 27 ÷ 3

x = 9

9 = 1st number

input the value of x in eq_ii

2x + 3

2(9) + 3

18 + 3

21 = 2nd number

hope that helps.

Find the inverse of y=3/(x+1) -2

Answers

The inverse of the function is y = 3/(x + 2) - 1

How to determine the inverse of the function

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

y=3/(x+1) -2

Rewrite as

y = 3/(x + 1) - 2

Swap the positions of x and y

So, we have the following representation

x = 3/(y + 1) - 2

Next, we make y the subject of the formula

This gives

3/(y + 1) = x + 2

Take the inverse of both sides

(y + 1)/3 = 1/(x + 2_

So, we have

y = 3/(x + 2) - 1

Hence, the inverse is y = 3/(x + 2) - 1


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You bought a new laptop and paid an initial payment of $150 you will make 12 payments of $69.50 how much would the computer cost if your state tried to 6% sales tax

Answers

The cost of the computer if the sales tax is 6% is  924.96 dollars.

How to find the cost of the computer after sales tax?

You bought a new laptop and paid an initial payment of $150. You will make 12 payments of $69.50.

The amount the computer cost if the your state charge 6% sales tax can be calculated as follows;

Install mental payment = 12 × 69.50

Install mental payment = 834 dollars

You already made payment of 150 dollars.

Therefore,

total payment including sale tax = 150 + 834

total payment including sale tax = 984 dollars

Sales tax = 6% of 984

Sales tax =  6 / 100 × 984

Sales tax = 5904 / 100

Sales tax = 59.04 dollars

Therefore,

cost of the computer = 984 - 59.04

cost of the computer = 924.96 dollars

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Without looking, you get to choose twice. You will not put them back
each time, because that would be gross.
A) What kind of event is this (independent or dependent)?
B) What is the probability that you would draw 2 reds?

show your work and answer

Answers

A) This is an independent event.

B) The probability that you would draw 2 reds is 0.017

What is probability?

The likelihood of an event occurring is known as probability. You can determine how likely something is by asking someone what the probability of something happening is.

When people purchase lottery tickets, the likelihood of winning is typically stated, and it occasionally may be as low as 1/10,000,000. (or even worse). This informs you that there is a low likelihood that you will succeed.

There are 4 reds out 0f 30 colours

The probability of drawing red the first time is 4/30 = 2/15

The probability of drawing red on the 2nd time is 4/30 = 2/15

The probability of drawing red on the both draw is = 2/15 × 2/15

                                                                                     = 4/225

                                                                                     = 0.0170

Thus, The probability of drawing red on the both draw is 0.0170.

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Which is the graph of the equation y-1=(x-3)?
O
(-31).
10
CO
8
fi
Q
4.
y

Answers

Answer:

The graph of the equation "y - 1 = (x - 3)" is a straight line.

To graph this equation, we can start by rearranging the equation to get "y = x - 3 + 1". This simplifies to "y = x - 2".

This equation is in slope-intercept form, which means that the slope of the line is given by the coefficient of the x term, and the y-intercept (the point where the line crosses the y-axis) is given by the constant term. In this case, the slope is 1 and the y-intercept is (-2, 0).

To graph the line, we can start by plotting the y-intercept at the point (0, -2). Then, we can use the slope of 1 to find a second point on the line and draw a straight line through these two points. The graph of the equation "y = x - 2" is shown below:

[asy]

unitsize(1.5cm);

draw((-1.5,0)--(1.5,0));

draw((0,-2.5)--(0,2.5));

draw((-1.5,-2)--(1.5,2),dashed);

label("$x$", (1.5,0), E);

label("$y$", (0,2.5), N);

[/asy]

The graph of the equation "y - 1 = (x - 3)" is the same as the graph of the equation "y = x - 2", except that all the y-values on the graph are increased by 1. This means that the graph of the equation "y - 1 = (x - 3)" is obtained by shifting the graph of "y = x - 2" upward by 1 unit. The graph of the equation "y - 1 = (x - 3)" is shown below:

[asy]

unitsize(1.5cm);

draw((-1.5,0)--(1.5,0));

draw((0,-2.5)--(0,2.5));

draw((-1.5,-1)--(1.5,3),dashed);

label("$x$", (1.5,0), E);

label("$y$", (0,2.5), N);

[/asy]

The answer choices given in the question do not match the description of the graph of the equation "y - 1 = (x - 3)". "O" does not match the description of the graph, as it is not a graph of a straight line. "(-31)" and "10" do not match the description of the graph, as they are not graphs at all. "CO" does not match the description of the graph, as it is the graph of a circle, not a straight line. "8" does not match the description of the graph, as it is the graph of an exponential function, not a straight line. "fi" does not match the description of the graph, as it is not a graph of a function. "Q" does not match the description of the graph, as it is not a graph at all. "4." does not match the description of the graph, as it is not a graph of a function. "y" does not match the description of the graph, as it is not a graph at all.

The daily recommended allowance of calcium for a sixth grader is 1,200 mg. One cup of
milk has 25% of the recommended daily allowance of calcium. How many milligrams of
calcium are in a cup of milk? If you get stuck, consider using the double number line.



what's the answer pls tell me

Answers

Answer:

300 milligrams are in aa cup of milk.

Step-by-step explanation:

.25 x 1200 = 300

How do I solve this system of equations using the elimination method
y=3x+13
2x=y-9

Answers

The value of x is -4 and the value of y is 1.

What is the value of x and y?

In order to use the elimination method, rearrange the given linear equations.

y - 3x = 13 equation 1

y - 2x = 9 equation 2

Subtract equation 2 from equation 1:

-x = 4

x = -4

Substitute for x in equation 2

y - 2(-4) = 9

y  + 8 = 9

y = 9 - 8

y = 1

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1/2k+6=4k-8

Please explain step by step

Answers

So on solving the provided question, we can say that the value of k is 4, in this linear equation question.

What is a linear equation?

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

1/2k +6= 4k-8

Multiplying both sides by 2,

k+12= 8k-16

7k=28

Therefore,

       k=4

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In the diagram below, QR is parallel to NO. If NQ = 12, QR 20, and NO = 35, find the length of QP. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.

Answers

Note that in the attached Geometric Figure (Diagram) which features QR as parallel to NO, if NQ = 12, QR 20, and NO = 35, then the length of QP is equal to 16.

What is the rationale for the above result?

[tex]\overline {QR}[/tex] is Parallel to [tex]\overline {NO}[/tex]; therefore

QR/NO = PQ/PN

⇒ 20/35 = PQ/PQ +12

This is because:

PN = PQ + NQ; which is also
PN = PQ +12

(PQ + 12) x 20 = 35PQ
20PQ + 240= 35PQ ; Collect like terms

240= 35 PQ - 20 PQ

240 = 15PQ; Divide both sides by 15

⇒ 240/15 = 15PQ/15
⇒ 16 = PQ

Therefore, QP = PQ which is equal to 16.

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it takes 9 people 40 minutes to clean a hotel lobby. How many minutes would it take 4 people

Answers

Answer:

90 minutes

Step-by-step explanation:

9 people = 40 minutes

4 people = 40/4=10

10 * 9= 90

therefore 4 people will finish the work in 90 minutes

1. choices: m-n m+n. m x n

2. choices: two. one. m. n.

3. choices: one. two. zero

4.choices: one. two. zero.

5. choices: first and last. first. last. middle

Answers

The initial polynomial result will include several terms, but after simplification, there may only be one or two terms left.

Polynomial's will be in which form?

Each polynomial must be considered to be in standard form. The initial multiplication will result in a total of m and n terms since each of the m terms of the first polynomial will be multiplied by each of the n terms of the second.

When the sum is simplified, some of those elements may be combined, resulting in a final product with only one or two terms.

1. 2 × b = 2b . . . . . each has 1 term; the result has 1 term.

2. (x -a)(x +a)  = x² -ax + ax -a² (2×2=4 terms) = x² -a² . . . . the results has 2 terms.

3.  (x -a)(x³ +x) =  x⁴ -ax³ + x² -ax . . . the results has 2×2 = 4 terms

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Maya went shopping for a new video game because of a sale. The store was offering a 40% discount. If the price on the tag was pp, which expression does NOT represent the price after the discount but before tax?

Answers

The expression that represents the price of the video game after the discount is

p - 0.4p
Where p is the original price of the video game.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Price of the video game = p

Discount = 40%

The price of the video game after the discount.

= p - (40% of p)

= p - (40/100)p

= p - 0.4p

Thus,

The expression is p - 0.4p.

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3 3/8 Converted to improper fraction

Answers

Answer:

27/8

Step-by-step explanation:

First, note that 3 3/8 is a mixed number, also know as mixed fraction. It has a whole number and a proper fraction. The numbers in the mixed fraction are defined as follow:

3 = whole number

3 = numerator

8 = denominator

To convert mixed number 3 3/8 to improper fraction, you follow these steps:

1. Multiply the whole number by the denominator

  3 × 8 = 24

2. Add the product from Step 1 to the numerator

   24 + 3 = 27

3. Write answer from Step 2 over the denominator

   27/8

The mixed number 3 3/8 converted to improper fraction is therefore :

27/8

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How do you change an infinitive into a gerund? Select the correct answer from each drop-down menu. Which word or phrase best completes the sentence? In Eugene O'Neill's Beyond the Horizon, Robert, wishes to seek adventure and travel the world. His brother, Andrew, is content to remain on the family farm. Andrew does not understand Robert's dream to travel. Reset Next If energy density is the amount of energy per unit mass, which of the following statements must be true?A) NiCd batteries have a higher energy density than lead storage batteriesB) Lead storage batteries produce less energy than NiCd batteriesC) NiCd batteries produce more electrons per mole of metal than lead storage batteriesD) Both lead storage and NiCd batteries have the same energy density Give an example of a quadratic function that has a maximum value. How do you know that it has a maximum value? Balance the following double displacement reaction and determine the coefficients of all of the reactants and products.___ BaCl2 +___ Na2CO3 --> ___ BaCO3 + ___ NaCl The responsibility for ensuring that a message is effectively understood falls mostly on the speaker, not on the listener. Exponential from Two Points (Level 1)Write an exponential function in the form y = ab* that goes through points (0, 13)and (2, 325). a car travels at a constant speed.what does the gradient of a distance-time graph of the car's journey represent?distance the car travelled, the area under the graph,the speed of the car, the acceleration of the car Write the word sentence as an equation. Then solve the equation84 is 99 fewer than a number c. Which of the following glands can be observed on the ventral surface of the sheep brain? View Available Hint(s) O Pineal gland O Olfactory bulb O Pituitary gland O Mammillary body What is the solution to this system of equations? What is x & y?? What were the after effects of the Japanese internment camps? Easy Cooking is a cooking supply company. Last year, the company sold 32,010 ovens. This year, they sold 30% fewer ovens than that. How many ovens did they sell this year? A cylinder's height equals the diameter of its base. What fraction of the total surface area of the cylinder is the total area of the two bases Identifying Perspectives Bolvar mentions Montesquieus The Spirit of Laws in the third excerpt. Montesquieu was another important voice of the Enlightenment. Which idea from Montesquieus book does Bolvar share? How does he emphasize Montesquieus perspective again in the fourth excerpt?Source: Primary and Secondary SourcesActivity netw rksSimn Bolvar, An Address of Bolvar at the Congress of Angostura (February 15, 1819) (Find Online!) Calculate the mass percent composition of nitrogen in each nitrogen containing compound What was the primary way the firms in the south differed from those in the north? legitimacy. Or What is legitimacy? Discuss the importance of legitimacy in Political Theory. What is the Value of P? 9=p9 How do you check if a function has an inverse function?