simplify the equation b^5•b^8

Answers

Answer 1
The answer is 2b^13
Hope this is helpul

Related Questions

How did you compute sums ofdollar amounts that were not whole numbers? For example, how did you compute the sum of$5. 89 and$1. 45? Use this example to explain your strategy.



How did you compute products ofdollar amounts that were not whole numbers? For example, how did you compute the cost of4 pounds of beef at $5. 89 per pound? Use this example to explain your strategy

Answers

To compute the sum of dollar amounts that are not whole numbers and to compute products of dollar amounts that are not whole numbers you can use the standard arithmetic operation and place decimal point correctly.

To compute the sum of dollar amounts that are not whole numbers, such as $5.89 and $1.45, you can use the standard arithmetic operations of addition, just like you would with whole numbers.

$5.89 + $1.45 = $7.34

When adding or subtracting decimal numbers, you align the decimal points and perform the operation column by column, just like you would with whole numbers.

To compute products of dollar amounts that are not whole numbers, such as 4 pounds of beef at $5.89 per pound, you can use the standard arithmetic operation of multiplication.

4 × $5.89 = $23.56

When multiplying decimal numbers, you multiply as you would with whole numbers and place the decimal point in the product to the right of the last digit in the product that corresponds to the number of decimal places in the original factors.

In both examples, it is important to pay attention to the placement of the decimal point and to use proper arithmetic operations. In general, it is important to consider the decimal places when working with decimal numbers and ensure that the final result is rounded to the appropriate number of decimal places, if necessary.

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[Please help me on this- I will give you brainlist!!]

Write the terms in standard form. Then state the degree of the polynomial and the leading coefficient (LC).

Answers

The degree of polynomial is 2 and leading coefficient is 3.

What are polynomial?

A polynomial is a mathematical expression made up of one or more terms. The phrases "poly" and "nominal," for example, are whence the name "polynomial" arose. The words "poly" and "nominal" both signify many. A polynomial is an algebraic expression with two or more algebraic terms, to put it simply. It has exponents, operators, coefficients, coefficients, variables, and constants.

Given polynomials 9, 3x², 8x

standard form of polynomial;  The value of the largest exponent in a polynomial is known as its degree. However, it differs between a polynomial with just one variable and one with multiple variables. The degree of a polynomial for a single variable is equal to the variable's highest power in the polynomial.

the standard form is 3x², 8x, 9

degree of polynomial is 2.

and leading coefficient is the constant term followed by the variables with highest power,

LC = 3.

Hence degree = 2 and leading coefficient = 3.

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Pls help quickly. Calculate the bearing of Y from
Z.
N
X
135°
z+
105°
Z
Y
Not draw

Answers

The bearing of point Y from point Z is 30 degrees.

What is the bearing of a point?

The bearing of a point is the angle measured in degrees clockwise from a reference direction (usually north). To find the bearing of point Y from point Z, we need to determine the angle between the line connecting point Z to point Y and the reference direction.

we know that the bearing of point X from point Z is 135 degrees, and the bearing of point X from point Y is 105 degrees.

we can use the following mathematical relationship to find the bearing of point Y from point Z:

Bearing of Y from Z = (Bearing of X from Z) - (Bearing of X from Y)

Substituting the values we know:

Bearing of Y from Z = 135 - 105 = 30 degrees

Hence, the bearing of point Y from point Z is 30 degrees.

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The vertices of DEF are D(-2, 5), E(5, 1), F(-4, -5). Find the coordinates of the orthocenter of DEF

Answers

Using a graph, the orthocenter for this triangle has a coordinate at (x, y) are (-0.46, 0.2)

What is an Orthocenter

The intersection of a triangle's three elevations is called the orthocenter. It is the intersection of the three lines that run perpendicular to the triangle's three sides. Due to its several intriguing characteristics, the orthocenter is a crucial place in the study of triangles..

In this problem, we need to use a graphing calculator and plot each of the coordinates and then find the orthocenter which is an equidistant position from all the coordinates.

In this particular problem, the orthocenter for this triangle is (-0.46, 0.2)

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Jesse wanted a stamp collection his grandfather gave him 48 stamps to start it then his parents gave him 23 stamps and his aunt gave him 17 stamps how many stamps does Jesse have in his collection

Answers

Answer:88

Step-by-step explanation:

The ranges of values = 40 and the number of sets = 10 , then the length of set is

Answers

For example, if S={1, 2, 3, 4, 5, 6, 7} and T={1, 2, 3, 4, 5, 6}, then x=6>5=y, but if S={1, 2, 3, 4, 5, 6, 7} and T={1, 2, 3, 4, 5, 7}, then x=6=y. not sufficient.

What is values?Values are ideals or beliefs that a group or an individual hold and are essential for determining what is desirable or undesirable to them. Values can also be seen as overall conceptions people hold toward the world and aligns their behavior, motivation, perceptions, and personality. Values establish a framework through which people can compare what is most important and, in most cases, forms the basis for making choices. People interact with the world based on their values, which vary from person to person.An individual can value integrity, while another will value loyalty, and these values are shaped by a person's past experiences or cultural background. Notably, an individual can have several sets of values, but the degree to which the person can value these things can vary. A good example is someone who values family and wealth. There could be situations whereby such an individual can be faced with choosing between family and wealth, and it is very normal to sacrifice one over the other.

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Complete question is: If the ranges of values = 40 and the number of sets = 10 , then what will be the length of set ?

Help please yes ok lol

Answers

a. The ratio of rows of corn to beans is 13 : 12 or 13/12 or 13 to 12.

b. The ratio of rows of lettuce to the total number of rows in the garden is 5 : 52 or 5 to 52 or 5/52.

a. The ratio using the word 'to' is corn to beans.

What are ratio and proportion?

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

We know a ratio between a and b can be written as a : b, a/b or a to b.

From the given information the ratio of rows of corn to beans is,

corn/beans = 13/12 Or 13 : 12 Or 13 to 12.

The ratio of rows of lettuce to the total number of rows in the garden is,

lettuce/total number of rows in the garden = 5/52 Or 5 : 52 Or 5 to 52.

The ratio using the word 'to' is corn to beans.

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Solve the equation −14 - 1 4 (x – 26) = –200 for x.

Answers

Hello there!

Answer:

x = 39 2/7

Step-by-step explanation:

-14 - 14(x - 26) = -200

- 14 + 14 - 14(x - 26) = -200 + 14

-14(x - 26) = -186

-14(x - 26)/(-14) = -186/(-14)

x - 26 = 93/7

x - 26 + 26 = 93/7 + 26

x = 275/7

x = 39 2/7

What are two angles on a line called?

Answers

Answer:

supplementary angles

Step-by-step explanation:

140 + 40 = 180.

find the volume of this triangular prism.

Answers

The volume of the triangular prism is 120 cm cube.

How to find the volume of a triangular prism?

A triangular prism  is a three-sided prism.  The volume of a triangular prism can be represented as follows:

volume of a triangular prism = 1 / 2 bhl

where

b = base of the triangular faceh = height of the triangular facel = height of the triangular prism

Therefore,

b = 10 cm

h = 12 cm

l = 6 cm

Therefore,

volume of a triangular prism = 1 / 2 × 10 × 12 × 6

volume of a triangular prism = 1 / 2 × 120 × 6

volume of a triangular prism = 60 × 6

volume of a triangular prism = 120 cm³

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Habib cut out a rectangle that ha a perimeter of 60 inche and a length of 16 inche. They cut out another rectangle that i the ame length and twice a wide

Answers

The required perimeter of the new rectangle is 66 inches.

What is a rectangle?

A quadrilateral with all of its angles equal, or right angles, is a rectangle.

In addition to having all equal angles, a square also has all equal sides.

Therefore, a particular case of a square is a rectangle.

To put it another way, a rectangle can also be a square (when all sides to are equal).

Because every square is a quadrilateral with all four angles at right angles, every square is also a rectangle.

To be a square, a rectangle's sides must all be the same length, hence not all rectangles are squares.

So, a perimeter equals 2(l+b).

50 is the circumference and 17 is the length here.

Suppose the breadth is x.

50 = 2(17+x)

50 = (2*17)+(2*x)

50 = 34 + 2x

50 - 34 = 2x

16 = 2x

16/2 = x

8 = x

The first triangle's width is eight inches.

We know that the length of the other rectangle is 17.

And that the width is two times that of the first triangle.

Length = 17, width = 2*8 = 16, etc.

For the border:

p = 2(l+b)

p =  2(17+16)

p =  (2*17)+(2*16)

p =   34+32

p  =   66

Therefore, the required perimeter of the new rectangle is 66 inches.

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Complete question:

Najib cuts out a rectangle that has a perimeter of 50 inches and a length of 17 inches. He cuts out another rectangle that is the same length and twice as wide. What is the perimeter of the new rectangle?

A ratio is a comparison of two quantities. For example, the ratio of cows to pigs on a farm could be 1 to 3. For every 1 cow, there are 3 pigs. The ratio of chocolate chips to raisins in a cookie could be 5 to 9. For every 5 chocolate chips in the cookie, there are 9 raisins. Do you notice a repeating phrase in these examples? “For every” is key ratio language. It tells you how much of one quantity exists in comparison to the other quantity. A ratio consists of just the numbers, not the units. If someone asked the ratio of chocolate chips to raisins in the cookie example, you’d say 5 to 9.

Which of these could you represent with a ratio?

Answers

The solution is given by the equation A = how many diet sodas there are in the fridge compared to how many regular sodas

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the equation will be

The ratio of cows to pigs on a farm could be 1 to 3

So , the proportion is 1 : 3

Now , The ratio of chocolate chips to raisins in a cookie could be 5 to 9

So , the proportion is 5 : 9

Now , the number of diet sodas there are in the fridge compared to number of regular sodas is also a proportion

Hence , the proportion is number of diet sodas to number of regular sodas

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(a) Write down the value of xº
Given that 2-3 x 2⁹ = 2n
(b) find the value of n

Answers

From the equation (2-3 x 2⁹ = 2n), the value of n is -767.

What is the equation?

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is utilized.

The word equation and its cognates in various languages may have slightly different meanings. In mathematics, an equation is a formula that uses the equals sign to denote the equality of two expressions.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Given data :

2-3 x 2⁹ = 2n

= 2n = 2 - 3 .

= 3 .   = 1536

= 2n = 2 - 1536

= 2n = -1534

Divide both sides by 2

= 2n/2

= -1534/2

n = -767

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Indicated angles :

6. Find the measures of the indicated angles. Give reasons for your answers

Answers

Answer:

k\

Step-by-step explanation:

j

Hi, I need help finding an ordered pair for the equation x-5y=5?

Answers

Answer:

See below

Step-by-step explanation:

Anything that makes the equation true works. For example, you can use the x-intercept (5,0) or the y-intercept (0,-1).

In ΔOPQ, the measure of ∠Q=90°, the measure of ∠P=76In ΔOPQ, the measure of ∠Q=90°, the measure of ∠P=76°, and PQ = 4. 1 feet. Find the length of OP to the nearest tenth of a foot. °, and PQ = 4. 1 feet. Find the length of OP to the nearest tenth of a foot

Answers

The length of OP to the nearest tenth of a foot is 16.9 ft

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

ΔOPQ is right triangle

 Tan (p) = opposite/adjacent = OQ/PQ

Tan (76) =  OQ/4.1

4.010 = OQ/4.1

OQ = 4.010 * 4.1 = 16.441

OP² = OQ² + PQ² = 16.441 ² + 4.1² = 287.116

=> OP = √ 287.116 = 16.944

OP≅ 16.9 ft

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Can someone help on this?

Answers

Answer:

x=0 and y=36

Step-by-step explanation:

30 + 6 equals 36 but it is negative so you would add 30 to negative thirty to get to zero and go into the positive numbers. So if you add 6 more you would have positive 6. so it it 36 y is 36

What is the slope of the linear regression prediction equation if a person with 12 years of schooling

Answers

On solving the provided question, we can say that the e slope of the linear regression prediction equation if a person with 12 years of schooling is 1.

what is linear regression?

When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable. The procedure is known as multiple linear regression if there are numerous. A straight line is used to evaluate the relationship between the independent and dependent variables in a regression model known as simple linear regression. Both factors ought to be quantitative. The effect of the independent variable on the dependent variable is examined using simple linear regression. The second scenario, known as multiple linear regression, examines how various independent factors affect the dependent variable.

the e slope of the linear regression prediction equation if a person with 12 years of schooling

a. 1(correct)

b. 12

c. 13

d. 1,500

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Find the numbers. A room is 12 feet longer than it is wide. Half the perimeter of the rectangular floor is 72 feet. Find the length and the width. Use elimination or substitution to solve this problem.

Answers

Answer: The width of the room is 36 feet and the length of the room is 48 feet.

Step-by-step explanation:

To solve this problem using elimination, you can set up a system of equations to represent the information given in the problem.

Let w be the width of the room, and let l be the length of the room. We are told that the length of the room is 12 feet longer than its width, so we can set up the equation:

l = w + 12

We are also told that half the perimeter of the rectangular floor is 72 feet. The perimeter of a rectangle is given by the formula:

Perimeter = 2 * (length + width)

Since half the perimeter is 72 feet, the full perimeter is 2 * 72 = 144 feet. Substituting the equation for the length of the room, we get:

144 = 2 * (w + 12 + w)

Combining like terms and solving for w, we get:

w = 36

Substituting this value back into the equation for the length of the room, we get:

l = 36 + 12 = 48

Therefore, the width of the room is 36 feet and the length of the room is 48 feet.

To solve this problem using substitution, we could start by solving for the width of the room in one of the equations, and then substituting that value into the other equation to solve for the length of the room.

For example, we could solve the equation l = w + 12 for w to get:

w = l - 12

Substituting this expression for w into the equation for the perimeter, we get:

144 = 2 * (l - 12 + l)

Combining like terms and solving for l, we get:

l = 48

Substituting this value back into the equation for the width of the room, we get:

w = 48 - 12 = 36

Therefore, the width of the room is 36 feet and the length of the room is 48 feet.

Please answer ill give 40 points

Answers

To rewrite the inequalities in slope-intercept form, the student would first need to solve for y.

2x + 3y > 6 can be rewritten as 3y > -2x + 6 and then solving for y by dividing both sides by 3, the student can have y > (-2/3)x + 2

x-4y > 8 can be rewritten as -4y > -x + 8, and then solving for y by dividing both sides by -4 , the student can have y < (1/4)x - 2

To graph the inequalities, the student would plot the y-intercepts of the equations, which are (0,2) and (0,-2) and then use the slope to find a second point to plot, and then graph the line. Then, based on the inequality symbol the student should shade the appropriate side of the line. If the inequality is greater than > or less than < then they shade one side, otherwise if the inequality is less than or equal to >= or greater than or equal to <= they shade both sides.

It's also important to remember that the slope intercept form is y=mx+b where m is the slope, and b is the y-intercept, if the student already has the equation in this form, they only need to plot the y-intercept point and use the slope to get a second point.

Thomas wants to buy a new baseball bat. The one he likes costs $130, but it is on sale for $104. What is the percent of the discount Tomas will get if he buys the bat

Answers

On solving the provided question we can say that the percentage discount will be equal to 20%

What is percentage?

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

Tomas wants to buy a new baseball bat. T

he one he likes costs $130, but it is on sale for $104.

The discount percentage will be calculated as:-

( $130 - $104) = $26

( 26 / 130) x 100 = ( 2600 / 130 ) = 20%

the discount will be equal to 20%.

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please answer this
i really need it
i will give u a crown

Answers

Answer:

i am not to sure but if i am corroct it IS polynomial

Step-by-step explanation:

hope this helps

Classify each transformation by its properties.

Answers

The classification of the transformations based on the properties are presented as follows;

[tex]\begin{array}{|c|c|c|} & \mathbf{Preserves \ length} & \mathbf{Does \ not \ preserve \ lengths} \\\mathbf{Preserves \ angle \ measure} & Reflection\ Rotation &Translation \ followed \ by \ dilation \\&&Dilation \ with \ K > 1\\\mathbf{Does \ not \ preserve \ angle \ meas} & & \\\end{matrix}[/tex]

What are the different transformation effects?

The transformations that preserves the lengths of the original figure or pre-image and also preserves the angle measure is a rigid transformation.

Rigid transformations includes; Reflections, rotations, and translations

Transformations that preserves the angle of measure but in which the lengths of the preimage is not preserved are non-rigid transformations

Non rigid transformations includes; Dilation with a scale factor

Transformations that does not preserve the angle measure includes; Shear transformation

A translation and a dilation transformation does not preserve the lengths of the original figure.

The classification of the transformations based on their properties are therefore presented as follows;

[tex]{}[/tex]                               Preserves lengths      Does not preserve lengths

Preserves               Reflection              [tex]{}[/tex]    Translation followed by dilation

angle measure       Rotation                   [tex]{}[/tex]  with k > 1

                                                          [tex]{}[/tex]        Dilation with k > 1

Does not              

Preserve angle

measure

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29. Jamie spent $56 for blue blouse. A red blouse cost two-thirds of this price. What was the cost of the red blouse? PLEASE HELP ME WITH THIS QUESTION MY MATH TEACHER WILL BE VERY UPSET PLEASEEE!!!​

Answers

37.333 repeating because 3 divided by 56 is 18.666 repeating so that multiplied by 2 is 37.333
2/3 of 56 is 37.3 repeating

  PLS PLS HELP ASAP!!! ILL GIVE BRAINIEST AND 50 POINTS!!!

Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by AAS. Explain why it’s the missing side or angle.

Answers

Answer:

Mark angles C and F as congruent.

Step-by-step explanation:

Angle-Angle-Side (AAS) Congruence Theorem

If any two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

The given triangles have one corresponding angle and one corresponding side marked as congruent.  

To satisfy AAS congruency, another pair of corresponding angles need to be marked as congruent.  

As an included side is the side between two angles, we cannot mark angles A and P as congruent, as this would not satisfy AAS congruency since sides AB and PD would be the included sides.  

Therefore, to make triangle ABC congruent to triangle PDF by AAS, mark angles C and F as congruent.

What are 4 ways to solve a problem?

Answers

The 4 ways to solve a problem are understanding the problem, devising a plan, carrying out the plan, look back.

A problem is any type of disruption from normality that is impeding progress. A problem can be time-consuming and requires too much energy to solve it.

Polya created his famous four-step process for problem-solving, which is used all over to aid people in problem-solving:

Step 1. Understand the problem.

x = a number

Step 2. Devise a plan (translate).

Twice the difference between a number and 1 is equal to 4 more than that number

Step 3. Carry out the plan (solve).

2(x - 1) = (x + 4)

2x - 2 = x + 4

2x - 2 - x = x + 4 - x

x - 2 + 2 = 4 + 2

x = 6

Step 4. Look back (check and interpret).

If we take twice the difference of 6 and 1, that is the same as 4 more than 6. Thus the final answer is 6.

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Given csc0=178, determine the values for "a" and "b" in cos0=ab

Answers

The value of a and b are respectively 15 and 17 respectively.

What are trigonometry ratios?

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

Given that csc θ = 17/8 and cos θ = a/b.

The reciprocal of sin θ is csc θ.

Therefore,

1/sinθ = 17/8

or, sin θ = 8 /17

Applying the trigonometry identity cos²θ = 1- sin²θ

cos²θ = 1- (8/17)²

cos²θ = 1- 64/289

cos²θ = 225/289

cos θ = 15/17

The value of a is 15 and the value of b is 17.

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Does 3 3 have a solution?

Answers

Given equation 3 = 3 is an identity, so it has infinite solutions.

Consider the given mathematical equation 3 = 3

We need to check whether the given mathematical equation has solution or not.

We know that a statement 3 = 3 's true no matter what.

We can observe that for given statement 3 = 3, there's no variable in sight.

This means, 3 = 3 must has infinite solutions.

We know that an equation which is always true, no matter what values we substituted is called as an identity.

This equation is an identity, all real numbers are solutions.

Therefore, the equation 3 = 3 have infinitely many solutions.

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Tammy already has $565 dollars in her savings account. If she puts $5 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $100 in her account. Let w represent the number of weeks.

Answers

Answer:

Since she already has $565, her goal is $665.

5 × 20 = 100

w = 20 weeks

Question is attached. Show workings. Question 11

Answers

log(log(x)) + log(-2 + log(x^3)) = 0
We know that log(a) + log(b) = log(ab), so lets apply that.
log(-2log(x) + log(x)(log(x^3)) = 0
If the base is supposedly 10 (of the logarithm), we can get rid of the outmost log on the right hand side by raising both sides to the power of 10, to get
-2log(x) + log(x)(log(x^3) = 10^0 = 1
We also know log(x^a) = alog(x), so lets apply that
-2log(x) + 3log(x)log(x) = 1, lets now let U = log(x)
-2U + 3U^2 = 1
3U^2 - 2U - 1 = 0,
(3U + 1)(U - 1) = 0
U = 1 or -1/3
log(x) = 1, so x = 10
log(x) = -1/3, 10^(-1/3) = x, however this is not a natural number, so x = 10
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11. Which of the following is a solution to theinequality c + 4 Solve for : -3(x+8)=30 Which of the following is NOT a way in which viruses differ from all other living things?a. they do not growb. they cannot respond to environment stimuli through metabolic changesc. they cannot self-replicated. they live inside host cells What is the synonym of harrow? At a student government fundraiser, a notebook costs $7 and a t-shirt costs $12. if the total received for 60 items was $540, how many notebooks were sold? a. 24 b. 30 c. 36 d. 40 The surface appearance of a material is called its O rock cycle O lava fracture luster The volume of a cylinder is 60 cubic centimeters. What is the number of cubic centimeters in the volume of the sphere it circumscribes What two coins add up to 30 cents but one isn't a nickel? The numerical coefficient of 3xy2 is 2 true or false A fluid flowing in a pipe has 1.05 in diameter. If the fluid has density, viscosity andvolumetric flow rate are 62.3 , 1.2 cP and 35 gpm respectively. Calculate: 3a) The velocity.b) Reynolds number ()[2]- Find the followinga) Drive an expression to find a pressure of methane gas at point B b) If the temperature of methane is 100 F, Calculate pressure ofmethane gas at point B.c) Calculate pressure of oil at point C.PA = 1, 000 psig [3]- If the water is pumped down one well and the displaced oil which flows up through well exit (see the fig below), drive an expression to find a pressure of inlet water Pw needed to displace oil when the water/oil interfacial tension is applied. A nurse is teaching a newly-diagnosed client with rheumatoid arthritis (RA) about pharmacologic therapy with disease-modifying antirheumatic drug (DMARD) therapy. Which statement should the nurse include in the teaching Which of the following graphs has a slope of negative twoRead the excerpt from The Secret Chimneys by Agatha Christie. Then, answer the question that follows.It was just after half-past eleven that he brought the car to rest in the road adjoining the park of Chimneys. Jumping out he scaled the wall easily enough, and set out towards the house. It took him longer than he thought, and presently he broke into a run. A great grey mass loomed up out of the darknessthe venerable pile of Chimneys. In the distance a stable clock chimed the three quarters.11:45the time mentioned on the scrap of paper. Anthony was on the terrace now, looking up at the house. Everything seemed dark and quiet."They go to bed early, these politicians," he murmured to himself.And suddenly a sound smote upon his earsthe sound of a shot. Anthony spun round quickly. The sound had come from within the househe was sure of that. He waited a minute, but everything was still as death. Finally he went up to one of the long French windows from where he judged the sound that had startled him had come. He tried the handle. It was locked. He tried some of the other windows, listening intently all the while. But the silence remained unbroken.In the end he told himself that he must have imagined the sound, or perhaps mistaken a stray shot coming from a poacher in the woods. He turned and retraced his steps across the park, vaguely dissatisfied and uneasy.He looked back at the house, and whilst he looked a light sprang up in one of the windows on the first floor. In another minute it went out again, and the whole place was in darkness once more.Which word best represents the mood of the passage?A-BoredB-MysteriousC-SillyWhich line(s) from the passage best reflects the mood you selected?D-"They go to bed early, these politicians," he murmured to himself.E- It was just after half-past eleven that he brought the car to rest in the road adjoining the park of Chimneys.F-He looked back at the house, and whilst he looked a light sprang up in one of the windows on the first floor. thirds and a y-intercept of 2? Explain how oil prices in the United States could be affected if the checkpoints in Asia and Africa were blocked. HELP Beginning from a depth of 35 feet below the surface, a whale swims upward and jumps to a height of less than 17 feet above the surface. Use an inequality to model the possible change in the number of feet, r, of the whale's elevation. The heat of fusion of a substance is 42. 5 J/g. How much energy is released when 40 g of this substance at its freezing point completely changes into a solid? Show your work. A. ) 1. 700B. ) 1. 06 C. ) 42. 5 D. ) 0 J In tenpin bowling, the height of each bowling pin must be 15 inches with an absolute deviation of 0.03125 inches find the minimum and maximum possible heights of the bowling pin. If a poet is discussing the type of meter in their poem, what are they MOST likely talking about? A. the pauses within lines marked by punctuation B. the repetition of a word at the beginning of each line C. a stylistic device that puts similar sounds together in a series D. the repetitive pattern of syllables The U.S. Constitution gives each branch of the federal government the ability to limit and restrict some actions of the other branches. This is an example of which American founding ideal? A. Checks and balances B. Representative democracy C. Federalism D. Separation of powers Why do you think American Indians were represented in history books in the manner described in the Councils letter? Use examples of their depictions from the text and explain what you believe the purpose of portraying American Indians this way was. A graph of v(t) is shown for a world-class track sprinter in a 100 -m race. (See figure below. For each answer, enter a number.)(a) What is his average velocity (in m / s ) for the first 4 s} ? ______ m/ s(b) What is his instantaneous velocity (in m / s ) at t=6 s ? ______ m / s(c) What is his average acceleration (in m / s) between 0 and 4s?________m / s(d) What is his time (in s) for the race?______ s