Write the expression with a single base and single positive exponent, then simplify. 4^2*4^3 \div4^{-4} The base is AnswerThe exponent is AnswerThis simplifies to

Answer:

There are no like terms.

Step-by-step explanation:

Answer: if i remember correctly you’re just supposed to add 2 to the exponent so it’s be 2b^5 if that’s not the case then there are no like terms

Step-by-step explanation:

Answer:

x=10,y=120

Step-by-step explanation:

3x-30=60 CDA

3x=30

x=10

again,

y+60=180 straight line

y = 120

Answer: I believe the answer is 6 miles.

Step-by-step explanation: Its states Cary hiked 18 miles in 6 hours. If you divide 18  by 6, you get the answer 3. This means that 6 multiplied by 3 will give you 18, so just do the same to the number 2. Two multiplied by 3 gives you 6.

Answer:

Below

Step-by-step explanation:

1.7 / 130  go/si

1000 si  * 1.7 /130 go/si = 13.08 gm of gold

10 go  /  ( 1.7/130 go/si) = 764.7 gm of  silver  

Answer:

\(-\frac{9}{1}\)

Step-by-step explanation:

Its just the same way as making positive 9
a fraction, but just add the negative sign.

Hope this helps :))

Answer:

the answer your looking for is a.) 8.6

Answer:

The correct answer is:

D. Action: Divide both sides by 4.

E. Property: Division property of equality.

Answer:

\(\frac{4}{9}\)

Step-by-step explanation:

Answer:

(4,1)

Step-by-step explanation:

1: Different x value (bad: 8 units to the left of original point), different y value  (good: on higher horizontal line), d

2: Same x value  (good: same vertical line), different/higher y value  (good: 2 units above original point).

3: Same x value  (good: same vertical line), same y value (bad: same horizontal line, didn’t move higher or lower).

I hope this makes sense lol

Answer:

the answer is 200

Step-by-step explanation:it's because

you have to divide 1000 in to 5 and 1000 divided by 5 is 200

Answer:

125

Step-by-step explanation:

Answer:

314

Step-by-step explanation:

Because 314 is bigger than 313.587

X+1, R2 is the synthetic division of (x²+3)+(x-1) by In the divisor x + 5, change the constant's sign from 5 to -5 and bring it down.

The number is said to be in variables its simplest form being divided in it's smallest equivalent fraction. When or how to find the most basic form. Look for common factors throughout the denominator and numerators. Verify a fractional integer to verify if it qualifies as a prime number. A statement having two orthogonal axes and even an equal sign in the middle is called an equation in mathematics. The general form of any equation provides the degrees of all the  in descending order. The conventional form of a linear equation is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar). Equations can be categorized as assumptions or conditional equation.

given

(x²+3)+(x-1)

2x+3 / x = 1

X+1, R2 is the synthetic division of (x²+3)+(x-1) by In the divisor x + 5, change the constant's sign from 5 to -5 and bring it down.

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The area of the triangle with the given vertices is 11.5 square units.

The area of a triangle can be calculated using the coordinates of its vertices using the following formula.

To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:

A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2

Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:

A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2

A = (0 - 4 + 27)/2

A = 23/2

A = 11.5

Therefore, the area of the triangle with the given vertices is 11.5 square units.

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The three integers are 24, 26 and 28 respectively.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given are three consecutive even integers.

Assume that the integers are -

x, (x + 2), (x + 4)

According to question -

x + x + 2 = x + 4 + 22

2x + 2 = x + 26

x = 24

x + 2 = 26

x + 4 = 28

Therefore, the three integers are 24, 26 and 28 respectively.

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Answer:

8.09s + 3.79c

Step-by-step explanation:

The $8.09 is pertaining to the satin (s) and the $3.79 is pertaining to the cotton fabric (c).

Answer:

70.77

Step-by-step explanation:

Hope this helps

The sofa cost $848 while the chair cost $404

Let x represent the cost of the sofa and y represent the cost of the chair.

The sofa cost $40 more  than twice the chair, hence:

x = 2y + 40

x - 2y = 40        (1)

She paid a total of $1252, hence:

x + y = 1252     (2)

Solving equation 1 and 2 simultaneously gives:

x = 848, y = 404

Therefore the sofa cost $848 while the chair cost $404

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Answer:

x - 9 = -1

Step-by-step explanation:

When you see less than you switch the numbers. So, for instance, it says 9 less than x means x-9

I. The solution to the system of equations using Gaussian elimination is x = 1, y = -1, and z = 2.

II. For the LU-decomposition method, we need to have a square coefficient matrix, which is not the case in the given system. Therefore, we cannot directly apply the LU-decomposition method.

III. For this method to converge, the coefficient matrix must be diagonally dominant, which is not the case in the given system. Therefore, the Gauss-Jacobi method cannot be directly applied either.

IV. It requires the coefficient matrix to be diagonally dominant, which is not satisfied in the given system. Hence, the Gauss-Seidel method cannot be directly used.

I. Gaussian Elimination Method:

To solve the system of linear equations using Gaussian elimination, we perform row operations to reduce the system into upper triangular form. The augmented matrix for the given system is:

| 6 2 -1 | 4 |

| 1 5 1 | 3 |

| 2 1 4 |27 |

We can start by eliminating the coefficients below the first element in the first column. To do this, we multiply the first row by a suitable factor and subtract it from the second and third rows to eliminate the x coefficient below the first row. Then, we proceed to eliminate the x coefficient below the second row, and so on.

After performing the necessary row operations, we obtain the following reduced row-echelon form:

| 6 2 -1 | 4 |

| 0 4 2 | -1 |

| 0 0 3 | 6 |

From this form, we can easily back-substitute to find the values of x, y, and z. We have z = 2, y = -1, and x = 1.

II. LU-Decomposition Method:

LU-decomposition is a method that decomposes a square matrix into a product of two matrices, L and U, where L is lower triangular and U is upper triangular.

III. Gauss-Jacobi Method:

The Gauss-Jacobi method is an iterative numerical method to solve systems of linear equations.

IV. Gauss-Seidel Method:

Similar to the Gauss-Jacobi method, the Gauss-Seidel method is an iterative method for solving linear systems.

Therefore, out of the four methods mentioned, only the Gaussian elimination method can be used to solve the given system of linear equations.

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Using properties of square,

a. Equation for total area = 2x² - 16x + 64

b. Area will be minimum for the value of x = 0

c. Minimum area will be 64cm².

With four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. The equal sides and 90° internal angles of each square form serve as indicators of its identity.

Total length of wire = 32cm.

Now side of one square is given as x.

Perimeter of big square will be = 4x.

Now perimeter of small square = 32- 4x.

Side of small square = (32-4x)/4

= 4(8-x)/4

= 8-x

Area of big square = x × x

= x².

Area of small square = (8-x) ².

Now Total area, A(x) = x² + (8-x) ²

= x² + 64 + x² - 16x

= 2x² - 16x + 64

The side length that will minimize the area will be, x = 0.

Minimum area of the total figure will be = 64cm²

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Answer:

70 in^2

Step-by-step explanation:

Make a line through the middle separating the 5 by 5 square and the rectangle. Then you find the individual areas of each. The bottom shape is a 5 by 5 square, so 5*5 is 25. The top shape's length is 5+2+2 because the bottom shape is a square, so each side=5. Then the blank space between both of the length 2's is 5. As a result, the rectangle's dimensions is 9 by 5. 9*5=45. When we add both areas, we get 45+25=70

As the given equation is (36)ˣ⁺²  = 6 , then the solution for the given equation is x ≈ -1.54.

The given equation in the question is (36)ˣ⁺²  = 6

according to the given equation , the goal is to solve the equation for x.

For solving this equation ,

we'll have to use logarithmic operations which is as follows:  

log36(6) = x+2.

We will be further using a calculator to determine the logarithmic value: log36(6) ≈ 0.4607.

Now, By subtracting 2 from both sides, we will get the value of x as:

x ≈ -1.54.

When we round off this value to the nearest 100th, we will get  -1.54.

Thus , the solution for the given equation is x ≈ -1.54.

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The value of the test statistic, rounded to two decimal places, is approximately 0.47.

We have,

To find the value of the test statistic, we can use the formula for calculating the t-statistic when comparing the sample standard deviation to a known population standard deviation:

t = (s - σ) / (s / √n)

Where:

s is the sample standard deviation

σ is the population standard deviation

n is the sample size

Given:

Sample standard deviation (s) = 12.6 bpm

Population standard deviation (σ) > 12 bpm (exact value not given)

Sample size (n) = 139

Since the population standard deviation (σ) is not explicitly provided, we cannot calculate the exact t-statistic. However, we can still find an approximate value by assuming a hypothetical population standard deviation.

Let's assume the population standard deviation (σ) is 12.1 bpm.

Substituting the given values into the formula:

t = (12.6 - 12.1) / (12.6 / √139)

t = 0.5 / (12.6 / √139)

t = 0.5 / (12.6 / 11.79)

t = 0.5 / 1.068

t ≈ 0.47

Therefore,

The value of the test statistic, rounded to two decimal places, is approximately 0.47.

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The equation to show the perimeter of the rectangle is P = 2(2w + 5)

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

Length = 5 more than the width

Also, we have

Perimeter = 58

This means that

P = 2(w + 5 + w)

P = 2(2w + 5)

In (a), we have

P = 2(2w + 5)

This gives

2(2w + 5) = 58

So, we have

2w + 5 = 29

2w = 24

w = 12

Next, we have

l = 12 + 5

l = 17

Lastly, we have

Area = 17 * 12

Area = 204

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A 14.2 million donation was made to a charity. The overall amount of the charity's contributed funds is 34 million if which amounts to 42% of those monies.

Let x represent the total amount of donations received by the charity.

According to the problem, 14.2 million represents 42% of the charity's donated funds:

14.2 million = 0.42x

We must isolate x on one side of the equation in order to find it. We can do this by dividing both sides of the equation by 0.42:

x = 14.2 million / 0.42

x = 33.80952381 million

Rounding this answer to the nearest million gives:

x ≈ 34 million

Therefore, the total amount of the charity's donated funds is approximately 34 million.

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Q is equal to 26.

Variation is a topic which shows the relationship among dependent and independent variables. Some of the types of variation are: direct variation, inverse variation, constant variation etc.

Considering the statement given in the question, P and Q vary inversely;

P \(\alpha\) 1/Q

P = k/Q

where k is the constant of proportionality.

Then, P = 13, Q = 16

13 = k/16

k = 13*16

  = 208

k = 208

So that,

P = 208/ Q

To determine Q when P =8. then;

P = 208/ Q

8 = 208/ Q

Q = 208/ 8

   = 26

Q = 26

Thus, the value of Q is 26 when P is 8.

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Answer:

Simple Linear Regression Correlation

Step-by-step explanation:

When it snows normally the schools continue .But constant snowing affects the schools continuity. As more and more snow falls more schools are closed.

There may be a situation where all the schools are closed at a certain temperature.

So it is a simple linear regression correlation because in it there are two variables and one variable is dependent on the other. In this example the schools are dependent on the average snowfall.

If there's a snow blizzard or extreme weather all the schools are definitely closed .

It can be represented by a graph.