A canvas is shaped like a square witht he side lengths of 6a^4b^9 units. Marissa will cover completely with the square mosaic tiles that have side lengths of ab^3 units. How many tiles with it take to cover the canvas? Express the answer in simplifled form

Answers

Answer 1

It will take 36a⁶b¹² tiles to cover the canvas

How to determine how many tiles it will take to cover the canvas?

Given:

Side lengths of square canvas = 6a⁴b⁹ units

Side lengths of square mosaic tiles = ab³ units

Area of square = L²

where L is  the side length of the square

Area of square canvas = 6a⁴b⁹ × 6a⁴b⁹ = 36a⁸b¹⁸ units²

Area of square mosaic tiles = ab³ × ab³ = a²b⁶ units²

Number of mosaic tiles = Area of square canvas / Area of square mosaic tiles

Number of mosaic tiles = 36a⁸b¹⁸ / a²b⁶ = 36a⁶b¹²

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Related Questions

the standard error of the slope coefficient is 0.121855. calculate the lower limit of the 95% confidence interval of the slope coefficient for the regression of kinesthetic vark scores on the visual vark scores for biology students:

Answers

Lower limit = 0.45 - (1.96 * 0.121855) = 0.2209. This means that we can be 95% confident interval that the true slope coefficient lies between 0.2209 and 0.45.

1. The standard error of the slope coefficient can be calculated by dividing the sample standard deviation of the residuals (obtained from the regression output) by the square root of the sample size.

2. The lower limit of the 95% confidence interval of the slope coefficient can be calculated by subtracting 1.96 times the standard error of the slope coefficient from the coefficient itself.

Lower limit = 0.45 - (1.96 * 0.121855) = 0.2209

Interpretation

The lower limit of the 95% confidence interval for the slope coefficient of the regression of kinesthetic VARK scores on the visual VARK scores for biology students is 0.2209. This means that we can be 95% confident that the true slope coefficient lies between 0.2209 and 0.45.

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Karissa begins to solve the equation StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis.. Her work is correct and is shown below.


Three lines of math. The first line, StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis. The second line, StartFraction one-half EndFraction x minus 7 plus 11 equals StartFraction one-half EndFraction x minus x plus 4. The third line StartFraction one-half EndFraction x plus 4 equals negative StartFraction one-half EndFraction x plus 4.

StartFraction one-half EndFraction x minus 7 plus 11 equals StartFraction one-half Endfraction x minus x plus 4.

StartFraction one-half EndFraction x plus 4 equals negative StartFraction one-half Endfraction x plus 4.

When she subtracts 4 from both sides, Startfraction one-half EndFraction x equals negative StartFraction one-half EndFraction x. results. What is the value of ?


–1

–negative StartFraction one-half EndFraction

0

StartFraction one-half EndFraction. BRAINIEST

Answers

When she subtracts 4 from both side of the equation, then she gets the value of x is 0.

What is expression?

Expressions means the idea of expressing numbers using letters or alphabets without specifying their actual values, the expression is the statement consisting variable, numbers, and arithmetical operation.

Given that, Karissa begins to solve the equation,

1/2(x-14)+11 = 1/2x-(x-14)

1/2x-1/2(14)+11 = -1/2x-x+4

1/2x-7+11 = -1/2x+4

1/2x+4 = -1/2x+4

1/2x+1/2x = 4-4

x = 0

Hence, When she subtracts 4 from both sides, then x = 0

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I Agree With The Other Person

What is the value of x?

Answers

X of the graph is sum

Write a recursive formula for an, the nth term of the sequence 2,-6,18,-54

Answers

Answer: The recursive formula for the sequence 2, -6, 18, -54 is given by the following:

a(n) = (-3) * a(n-1)

where a(n) is the nth term of the sequence and a(n-1) is the previous term in the sequence.

This means that each term in the sequence is equal to -3 times the previous term, with the first term being 2. For example, the third term of the sequence (a(3)) would be equal to (-3) * a(2), which is (-3) * (-6) = 18. The fourth term of the sequence (a(4)) would be equal to (-3) * a(3), which is (-3) * 18 = -54. And so on.

This recursive formula can be used to calculate the nth term of the sequence for any value of n.

What is the interest earned in a savings
account after 12 months on a balance of
$3500 if the interest rate is 1.5% APY
compounded yearly?

Answers

Answer:

The interest earned on a savings account with a balance of $3500 and an interest rate of 1.5% per year compounded yearly would be $52.50 after 12 months.

Step-by-step explanation:

To calculate the interest earned on a savings account, you need to know the interest rate, the length of time the money is deposited, and the starting balance. Based on the information provided, it appears that the interest rate is 1.5% per year, the money is deposited for 12 months, and the starting balance is $3500.

To calculate the interest earned, you would first need to convert the interest rate to a decimal by dividing it by 100. In this case, the interest rate would be 0.015. You would then multiply the interest rate by the starting balance to get the amount of interest earned in a year. In this case, the interest earned would be $3500 * 0.015 = $52.50.

Since the interest is compounded yearly, the total balance after one year would be the starting balance plus the interest earned. In this case, the total balance would be $3500 + $52.50 = $3552.50. Therefore, the interest earned on a savings account with a balance of $3500 and an interest rate of 1.5% per year compounded yearly would be $52.50 after 12 months.

11-14) if b to the power x, = 7 and b > 0, then 7 / b must equal which of the following:
a) b to power (x-1)
b) b to power (x+1)
c) 7 to power x

Answers

Answer:

Here is the answer

Step-by-step explanation:

If b to the power x is equal to 7 and b is a positive number, then 7 / b must equal b to the power (x-1).

We can see this by applying the definition of an exponent: b to the power x is equal to b multiplied by itself x times. For example, if b is 2 and x is 3, then 2 to the power 3 is equal to 2 * 2 * 2 = 8.

If we divide both sides of this equation by b, we get:

7 / b = (b * b * ... * b) / b = b * b * ... * b = b to the power (x-1)

Therefore, if b to the power x is equal to 7 and b is a positive number, then 7 / b must equal b to the power (x-1). The answer is therefore a) b to the power (x-1).

Write the answer in the blank.
What number is 280 more than 220?

Answers

Answer: 500

Step-by-step explanation:

280 + 220 is 500

Answer:

The number is 500.

Step-by-step explanation:

Let's assume that,

→ Missing number = x

Forming the equation,

→ x = 220 + 280

Now the value of x will be,

→ x = 220 + 280

→ [ x = 500 ]

Hence, the number is 500.

true or false the effect size for a regression analysis will be equal to the coefficient of determination

Answers

The statement 'the effect size for a regression analysis will be equal to the coefficient of determination' is True

In this question we have been given a statement 'the effect size for a regression analysis will be equal to the coefficient of determination'

We need to state whether the given statement is true or false.

We know that the effect size measures the strength of the relationship between two variables on a numeric scale.

And the coefficient of determination(R²) measures how well a statistical model predicts an outcome. It is a number between 0 and 1.

R² is a measure of effect size

Therefore, 'the effect size for a regression analysis will be equal to the coefficient of determination' is True.

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which point could represent 5/3?
A
B
C
D

Answers

Answer:

C

Step-by-step explanation:

5/3 can be written as 1.6666667 in decimal form. C is the only option greater than 1

regression analysis invites us to think in terms of an independent variable resulting from or being caused by a dependent variable's actions. true false

Answers

The given statement , regression analysis invites us to think in terms of an independent variable resulting from or being caused by a dependent variable's actions is true.

Regression analysis is a group of statistical procedures used in statistical modelling to determine the relationships between a dependent variable (often referred to as the "outcome" or "response" variable, or a "label" in machine learning jargon), and one or more independent variables (often referred to as "predictors," "covariates," "explanatory variables," or "features").

In linear regression, the most typical type of regression analysis, the line (or a more complicated linear combination) that most closely matches the data in terms of a given mathematical criterion is found.

When using the ordinary least squares method, for instance, the specific line (or hyperplane) that minimizes the sum of squared differences between the genuine data and that line is computed (or hyperplane).

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Find an equation that fits this question please

Answers

y = [tex]\frac{3}{4} x[/tex] is the relationship between two variables x and y.

What is a direct variation relationship?The relationship between two variables in which one is a constant multiple of the other is referred to as direct variation. For instance, two variables are said to be in proportion when one affects the other. b = ka is the equation if b is directly proportional to a. (where k is a constant).When one variable changes and the second variable varies proportionally while the ratio of the second variable to the first variable stays constant, the relationship is said to have direct variation. For instance, there is a constant, k, which is the ratio of y:x when y varies directly as x.

from the Table x and y in the ratio 4 : 3

i. e

The equation related to x and y  is :

y = [tex]\frac{3}{4} x[/tex].

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if two vectors are perpendicular to each other, their cross product must be zero.
true
false

Answers

Answer: False

Step-by-step explanation: This is false because perpendicular mean that 2 lines cross to make a 90 degree angle. If a cross product is 0 the lines never touch meaning its parallel.

with an is + Un object is thrown vertically upward from a height of hift. initial speed of Vof +/sec It's height h (in feet) after + seconds is given by h = -16+² + vot h Given this, if it thrown vertically upward from the ground with an initial speed of: A, 64 Ful sec.A) it what time will the height of the object be Is F₁ (two answers) B, how long will it take for the object to reach 63 f1​

Answers

The time to reach 15 feet is 3.75 seconds and the times to reach 63 feet are 1.75 and 2.25 seconds

Time to reach 15 feet

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

h= -16t² + v₀t + h₀

Also, we have

v₀ = 64

h₀ = 0

So, the function becomes

h= -16t² + 64t

At a height of 15 feet, we have

-16t² + 64t = 15

So, we have

-16t² + 64t - 15 = 0

Factorize the equation

So, we have the following representation

(4t - 1)(4t - 15) = 0

Expand the equation

4t - 1 = 0 or 4t - 15 = 0

So, we have

4t = 1 or 4t = 15

This gives

t = 1/4 or t = 15/4

Express as decimals

t = 0.15 or t = 3.75

Time to reach 63 feet

Here, we have

h= -16t² + v₀t + h₀

Also, we have

v₀ = 64

h₀ = 0

So, the function becomes

h= -16t² + 64t

At a height of 63 feet, we have

-16t² + 64t = 63

So, we have

-16t² + 64t - 63 = 0

Factorize the equation

So, we have the following representation

(4t - 7)(4t - 9) = 0

Expand the equation

4t - 7 = 0 or 4t - 9 = 0

So, we have

4t = 7 or 4t = 9

This gives

t = 7/4 or t = 9/4

Express as decimals

t = 1.75 and t = 2.25

Hence, the time is 2.25 seconds

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Complete question

An object is thrown vertically upward from a height of h₀ ft with an initial speed of v₀ ft/sec. Its height h (in feet) after t seconds is given by

h= -16t² + v₀t + h₀. Given this, if it is thrown vertically upward from the ground with an initial speed of 64 ft/sec,

(a) At what time will the height of the ball be 15 ft? (two answers)

(b) How long will it take for the ball to reach 63 ft?

you have a rectangular piece of wood that is 16 in by 8 in. a small length, x, is cut from each of the 4 sides yielding a surface area of 48 2 in . find the value of x.

Answers

After solving the equation, the value obtained for x will be equal to 20 in².

What is the area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure.

The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.

As per the given information in the question,

Let the length of the rectangular wood, l = 16 in and,

The width of the rectangular wood, w = 8 in.

Use the area of a rectangle,

A = lw

A = (16)(8)

A = 128 in².

Let the area cut from each side be x.

If the area is cutting from all sides, then it will be 4x.

The surface area left after cutting the board = 48 in²

Then, the equation will be,

128 in² - 4x = 48 in²

4x = 128 in² - 48 in²

4x = 80

x = 80/4

x = 20 in²

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Which is an equation of a line that passes through the point (-1, -4 and has an undefined slope?

Answers

To have a undefined slope it has to be a vertical line x = -1

Select the correct answer from each drop-down menu. circle a has diameters ef and ih intersecting approximately at 90 degrees, radius ad with point d lies on minor arc hf, and chord bc intersecting diameter ef near point e at a right angle. point a is the center of this circle. the ratio of the lengths of and is 2 : 1.

Answers

Answer:EF to AD

Step-by-step explanation:

4
Lee has 6 pygmy goats. Their weights, in kg, are listed below.
32 23 31 28 36
26
Two of the goats wander off and don't return. The remaining 4 goats have a mean
weight of 27.25 kg. Find the weights of the two goats who wandered off.
4
GR

Answers

Answer:

The weight of the two goats is 2.08 kg

Step-by-step explanation:

Total avg

32+23+31+28+36+26 = 176176/6 = 29. 33

Avg of the two goats

29.33 - 27.25 = 2.08 kg

Avg of one goat

2.08 /2 = 1.04 The avg of one goat 1.04kg

Help i am confused
I don't know what this is
HELP ASAP
will mark brainllest if its the best answer.

Answers

Answer:

Below

Step-by-step explanation:

First one and third one and 4th one are true

a plant cell had 5.8 x 10^-6 m and width 2.9 x 10^-6 m. what is the ratio of the plants cells length to its width

Answers

The ratio of the plant cell's length to its width is 2:1 (5.8 x 10^-6 m to 2.9 x 10^-6 m).

To calculate the ratio of the plant cell's length to its width, we first need to find the length and width of the cell. The given data states that the length of the cell is 5.8 x 10^-6 m and the width is 2.9 x 10^-6 m. To calculate the ratio, we divide the length by the width. In this example, we divide 5.8 x 10^-6 m by 2.9 x 10^-6 m, which equals 2. Thus, the ratio of the plant cell's length to its width is 2:1.

length / width = 5.8 x 10^-6 m / 2.9 x 10^-6 m = 2

length : width = 5.8 x 10^-6 m : 2.9 x 10^-6 m = 2:1

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PLEASE EXPLAIN AND SHOW YOUR WORK THANK YOU!!
Solve as a MIXED NUMBER:
-2.25 + 0.4x = -2.8
THANK YOU!

Answers

Answer:

-1 3/8

Step-by-step explanation:

-2.25 + 0.4x = -2.8

-2.25 + 2.25 + 0.4x = -2.8 + 2.25  ==> add 2.25 on both sides to isolate x

0.4x = -0.55

(0.4x = -0.55)*20 ==> multiply the equation by 20 to remove decimals

8x = -11

x=-11/8

x=-(3+8)/8  ==> turn x into a mixed number

x=-3/8 - 8/8

x=-3/8 - 1 ==> simplify

x=-1 - 3/8

x=-(1 + 3/8)

x=-1 3/8

If three hens can lay 3 eggs in 3 days how many days can 7 hens lay 7 eggs? Pls help!!

Answers

7 days would be your answer

Explaination, if 3 hens can lay 3 egg is 3 days. Each hen lays 1 egg per day. If there is 7 hens, there will be 7eggs in 7days. Good luck :)

Answer:

3 days

Step-by-step explanation:

Find the slope and the y-intercept.
Then use them to graph the line. -2x + 5y = -15

Answers

Answer:

Step-by-step explanation:

this is easy

A popular fast-food restaurant serves cheeseburgers and fries. A family meal consists of 3 cheeseburgers and 4​ orders of fries for a total of 3650​ calories. A deluxe family meal consists of 5​ cheeseburgers and 6​ orders of fries for a total of 5750 calories.

Answers

Answer:

Calories per Cheeseburger: 1250

Calories per Fries: 250

Step-by-step explanation:

Evaluate 7 Σ n=1 2(-2)^n-1.

Answers

Answer:

86

Step-by-step explanation:

I assume the question is [tex] \sum_{n=1}^{7} 2(-2)^{n-1} [/tex]

7: 2(-2)^6 = 128

6: 2(-2)^5 = -64

5: 2(-2)^4 = 32

4: 2(-2)^3 = -16

3: 2(-2)^2 = 8

2: 2(-2)^1 = -4

1: 2(-2)^0 = 2

128 - 64 + 32 - 16 + 8 - 4 + 2 = 86

What is the area of a rectangle with a height of t ^ 2 + 7t + 6 and a width of 2t + 1

Answers

The area of a rectangle with given length and width is 2t³+15t²+19t+6 square units.

What is the area of a rectangle?

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Given that, length of a rectangle =t²+7t+6 and width of rectangle =2t+1.

Here, area of a rectangle = (t²+7t+6)×(2t+1)

= t²(2t+1)+7t(2t+1)+6(2t+1)

= 2t³+t²+14t²+7t+12t+6

= 2t³+15t²+19t+6 square units

Therefore, area of a rectangle is 2t³+15t²+19t+6 square units.

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Find the inverse of the following function. f(x) 8√ x for x > 0

Answers

Inverse function of f(x) 8√ x for x > 0 is  f^-1(y)is 8√y for y > 0. The inverse of a function is a function that "undoes" the original function.

What is inverse of a function?

In order for a function to have an inverse, it must be one-to-one, meaning that each input value must correspond to a.

if the original function maps input values to output values, the inverse function maps the output values back to the input values.

To find the inverse of the function f(x) = 8√x for x > 0, we can use the following steps:

Replace f(x) with y. This gives us y = 8√x for x > 0.

Replace x with f^-1(y). This gives us f^-1(y) = 8√y.

Solve for y. To solve for y, we can square both sides of the equation:

y^2 = (8√y)^2

y^2 = 64y

y^2 - 64y = 0

y(y - 64) = 0

This equation has two solutions: y = 0 or y = 64. However, the original function is only defined for x > 0, so the inverse function is only defined for y > 0. This means that the inverse function is f^-1(y) = 8√y for y > 0.

Therefore, the inverse of the function f(x) = 8√x for x > 0 is f^-1(y) = 8√y for y > 0.

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or each table find if the y/x is a constant number or fraction Hints : A 6/2, 12/4, 18/6 and 24/8 all reduce to 3/1 so all are the same and all are good. B 5/8, 10/16, 15/24, 20/32 all reduce to 5/8 and all are the same so good. C 9/10, 10/11, 11/12, 12/13 none are the same so no D 0, 1, 9/3, 25/5 not the same so no

Answers

Answer:

"15" (and any subsequent words) was ignored because we limit queries to 32 words

Graph this compound inequality: x <-8 or x ≥ 3

Answers

The graph of the inequalities x < -8 and x ≥ 3 would be the lines right to 3 in the number line which also includes 3 and the line left to -8 but -8 not included.

What is Number line?

Number lines are the graphical representation of numbers on a horizontal straight line where the numbers are placed on equal intervals. We can graph the equations and inequalities of one variable on a number line.

The given inequalities are x < -8 and x ≥ 3.

First let us consider the inequality x < -8.

This means that all the numbers which is less than -8 but does not include -8.

That will be a line tends to left from -8 with an open circle on -8.

Consider the other inequality x ≥ 3.

This includes all the numbers which are greater than 3 and also include the number 3 since the inequality is ≥.

The graph will be a line tends to right from 3 with a closed circle on 3.

Hence the graph of this compound inequality will be a line tends to left with an open circle on -8 and a line tends to right with a closed circle on 3.

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Answer: i did it

Step-by-step explanation: answered the 2nd question aswell, hope this helps someone

divide 6 by b, then double the result

Answers

Answer:

it is 12/2b

Step-by-step explanation:

answeranswer

kiran collects data about the number of trees on school property and the average standardized test scores for those schools koran says the scatter plot between the number of trees on. school property and student standardized test scores shows a strong and positive correlation an increase in the number of trees on school property cause the students to score better on standardized test . what does it mean for the relationship between the variables when the correlation is strong in this situation

Answers

Answer:

Although the variables are related, there is not likely a causal relationship. Trees probably do not directly influence test scores as much as other factors that might be related.

Step-by-step explanation:

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