Can someone help me translate this "four times the difference of a number and 7 is 32" ​

Answer:

x = -2

y = 10

Step-by-step explanation:

I added a photo of my solution

Answer: -3 2/5y=2 1/2x=29

Step-by-step explanation:

6x-2/5y=8 1/2x+3y=29

Separate into two equations

6x-2/5y=8 1/2x+3y

-6x            -6x

-2/5y=2 1/2x+3y

-3y              -3y

-3 2/5y =2 1/2x

Keep 29 as is

Answer:

17x^3

Step-by-step explanation:

8-7+16=17 keep the like terms

The new odds that the box picked is a special one is 4

Since, there are four boxes that look the same. in one box (the special one), half of the marbles are blue. but only 1/8 of the marbles in the other boxes are blue.

We will have this hypothesis:

The box the blue marble was picked from is the special box.

Prior confidence we had:

Ratio of special boxes to non special boxes=1:3

Now P(blue &special)=1/2, given that a box is selected from the special box, there is 1/2 chance that it is blue

And P(blue & not special)=1/8, given that a box is selected from a non-special box, there is 1/8 chance that it is blue

According to  Baye's factor ,we get:

P(B & S)/P(B & NS)=(1/2)/(1/8)

                               =4

Thus, 4 is the new odds that the box picked is the special one.

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The maximum number of possible effects that could be tested in a 2x2x2 factorial design with 3 main effects, 3 two-way interactions, and 1 three-way interaction is 7.

In a 2 x 2 x 2 factorial design, we can test the following maximum number of possible effects:
Main effects:

There are 3 main effects in this design, one for each factor (A, B, and C). You would analyze the effect of each factor independently on the outcome variable.

Two-way interactions:

There are 3 possible two-way interactions that can be tested in this design: AxB, AxC, and BxC.

These interactions examine the combined effects of two factors on the outcome variable.
Three-way interactions:

There is 1 possible three-way interaction that can be tested in this design: AxBxC.

This interaction examines the combined effect of all three factors (A, B, and C) on the outcome variable.

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Answer:

Ms. Strayhorne's class

Step-by-step explanation:

12÷3=4 | 5·4= 20 | 20 girls in total

12÷4=3 | 3·6=18 | 18 girls in total

Answer:

The tax rate is 9 dollars and 45 cents.

Step-by-step explanation:

Answer:

dilation

Step-by-step explanation:

took the test

Answer:

20% of 575 is 116

20% of 575 is 116

20% of 575 is 116

20% of 575 is 116

20% of 575 is 116

20% of 575 is 116

20% of 575 is 116

20% of 575 is 116

Answer:

Step-by-step explanation:

y=3+(3x/4) or y=3+(0,75x)

Answer:

not sure for the answer

Step-by-step explanation:

your zeros are -6 are 5

The histograms typically are used to display continuous measures.

There are different types of charts: histogram, line chart, pie chart, and others.

The histogram is a type of chart used as a tool that provides a way to assess the distribution of data. From this type of chart, a set of data are previously tabulated and divided into classes. In the other words, the histogram is applied to summarize discrete or continuous measures, so it becomes more easily the understand the used data. There are many websites and software that allow the plot of this type of chart.

From the explanation, it is possible to identify the histograms typically are used to display continuous measures.

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Step-by-step explanation:

a. 1

_

8

b. 1

_

7

c. 10

_

21

espero que isso te ajude

Vamos a resolver las operaciones utilizando la regla de multiplicación de fracciones y luego simplificaremos los resultados.

a) \(\sf\:\frac{1}{6} \times \frac{3}{4}\\\)

Para multiplicar estas fracciones, multiplicamos los numeradores entre sí y los denominadores entre sí:

Numerador: \(\sf\:1 \times 3 = 3\\\)

Denominador: \(\sf\:6 \times 4 = 24\\\)

Entonces, \(\sf\:\frac{1}{6}\:\times\:\frac{3}{4} = \frac{3}{24}\\\)

Podemos simplificar esta fracción dividiendo tanto el numerador como el denominador por el máximo común divisor, que en este caso es 3:

\(\sf\:\frac{3}{24} = \frac{3 \div 3}{24 \div 3} = \frac{1}{8}\\\)

Por lo tanto, el resultado simplificado es \(\sf\:\frac{1}{8}\\\).

b) \(\sf\:\frac{1}{2} \times \frac{2}{7}\\\)

Aplicando la regla de multiplicación de fracciones:

Numerador: \(\sf\:1 \times 2 = 2\\\)

Denominador: \(\sf\:2 \times 7 = 14\\\)

Entonces, \(\sf\:\frac{1}{2} \times \frac{2}{7} = \frac{2}{14}\\\)

Podemos simplificar esta fracción dividiendo tanto el numerador como el denominador por el máximo común divisor, que en este caso es 2:

\(\sf\:\frac{2}{14} = \frac{2 \div 2}{14 \div 2} = \frac{1}{7}\\\)

Por lo tanto, el resultado simplificado es \(\sf\:\frac{1}{7}\\\).

c) \(\sf\:\frac{4}{7} \times \frac{5}{6}\\\)

Siguiendo la regla de multiplicación de fracciones:

Numerador: \(\sf\:4 \times 5 = 20\\\)

Denominador: \(\sf\:7 \times 6 = 42\\\)

Entonces, \(\sf\:\frac{4}{7} \times \frac{5}{6} = \frac{20}{42}\\\)

Podemos simplificar esta fracción dividiendo tanto el numerador como el denominador por el máximo común divisor, que en este caso es 2:

\(\sf\:\frac{20}{42} = \frac{20 \div 2}{42 \div 2} = \frac{10}{21}\\\)

No podemos simplificar aún más esta fracción, por lo que el resultado simplificado es \(\sf\:\frac{10}{21}\\\).

Resumiendo las respuestas:

a) \(\sf\:\frac{1}{6} \times \frac{3}{4} = \frac{1}{8}\\\)

b) \(\sf\:\frac{1}{2} \times \frac{2}{7} = \frac{1}{7}\\\)

c) \(\sf\:\frac{4}{7} \times \frac{5}{6} = \frac{10}{21}\\\)

Using the z-distribution, it is found that the value of the test statistic is z = 10.33.

At the null hypothesis, it is tested if the proportion is of \(\frac{3}{4} = 0.75\), hence:

\(H_0: p = 0.75\)

At the alternative hypothesis, it is tested if the proportion is different, that is:

\(H_1: p \neq 0.75\)

The test statistic is given by:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

For this problem, the parameters are: \(p = 0.75, \overline{p} = 0.89, n = 1201\)

Hence:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.89 - 0.75}{\sqrt{\frac{0.75(0.25)}{1021}}}\)

\(z = 10.33\)

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Answer:

sum of all angles of a triangle= 180°

Let angle A be x,

then 63°+90°+x=180°

x=17°

An expression that shows the associative property has been applied to (6+8)+4 is 6+(8+4).

The associative property is a mathematical rule that states that the way numbers are grouped within an expression does not affect the final result. In other words, you can add or multiply numbers in any order, and the result will be the same.

This property is represented as (a+b)+c=a+(b+c) or (a*b)*c=a*(b*c).

In the given expression, (6+8)+4, the associative property can be applied by changing the grouping of the numbers. This can be done by moving the parentheses from the first two numbers to the last two numbers. The new expression would be 6+(8+4).

Therefore, an expression that shows the associative property has been applied to (6+8)+4 is 6+(8+4).

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Answer:

x = -9

Step-by-step explanation:

1 Expand.

3x+3-2x=-6

3x+3−2x=−6

2 Simplify  3x+3-2x3x+3−2x  to  x+3x+3.

x+3=-6

x+3=−6

3 Subtract 33 from both sides.

x=-6-3

x=−6−3

4 Simplify  -6-3−6−3  to  -9−9.

x=-9

x=−9

here is the answer hope it help you

If the perimeter of the rectangular field is 236, the distance covered by the man is 236* 5 = 1180

Total number of flowers = 210

Carnations = c = $1.50

Roses = r = $5.75

Daisies = d = $2.60

d = r - 20

Total price = $667.5

Equation 1

1.5c + 5.75r + 2.6d = 667.5

Equation 2

c + r + d = 210

Equation 3

d = r - 20

Solve by substitution

1.5c + 5.75r + 2.6(r - 20) = 667.5

1.5c + 5.75r + 2.6r - 52 = 667.5

1.5c + 8.35r = 667.5 + 52

1.5c + 8.35r = 719.5

c + r + r - 20 = 210

c + 2r = 210 + 20

c + 2r = 230

Solve for c

x c = 230 - 2r

1.5(230 - 2r) + 8.35r = 719.5

345 - 3r + 8.35r = 719.5

5.35r = 719.5 - 345

5.35r = 374.5

r = 374.5/5.35

r = 70

e c = 230 - 2(70)

c = 230 - 140

c = 90

d = 70 - 20

d = 50

Billy ordered 70 roses, 90 carnations and 50 daisies.

5

345 - 3r + 8.35r = 719.5

5.35r = 719.5 - 345

5.35r = 374.5

r = 374.5/5.35

r = 70

e c = 230 - 2(70)

c = 230 - 140

c = 90

d = 70 - 20

d = 50

Billy ordered 70 roses, 90 carnations and 50 daisies.

Answer:

the amount is duplicating every time from 1 to 2 from 8 to 16

Step-by-step explanation:

Answer:

it's being multiplied by 2 every time, so 1×2=2 and it just keeps going on. 2×2=4, 4×2=8 and so fourth

$.01×2=$.02

Cutting a chicken into quarters is a common preparation method, and each portion can be cooked in a variety of ways, such as roasting, grilling, or frying, depending on personal preference and recipe instructions.

When you cut a chicken into quarters, you will get four portions of the bird, which include the two legs (thigh and drumstick), the two wings, the back and breast portion. The breast portion is typically the largest part and includes one half of the breast and the wing. The back portion includes the spine, ribs, and part of the breast. The legs are usually considered the most flavorful and tender parts of the bird, while the wings are smaller and consist mainly of bone and skin. Cutting a chicken into quarters is a common preparation method, and each portion can be cooked in a variety of ways, such as roasting, grilling, or frying, depending on personal preference and recipe instructions.

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Answer:

I dont know what you mean wdym...

Step-by-step explanation:

The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.

To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:

Take the Laplace transform of the given differential equation.

Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:

s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:

s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Solve for Y(s).

Combining like terms, we have:

Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))

Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:

Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)

Simplifying further, we have:

Y(s) * (s⁴ + 10s² + 9) = 9s² + 9

Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)

Partial fraction decomposition.

To proceed, we need to decompose the right side of the equation using partial fraction decomposition:

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)

Multiplying through by (s⁴ + 10s² + 9), we have:

9s² + 9 = A(s² + 9) + B(s² + 1)

Equating the coefficients of like powers of s, we get:

9 = 9A + B

0 = A + B

Solving these equations, we find:

A = 0

B = 0

Therefore, the decomposition becomes:

Y(s) = 0/(s² + 1) + 0/(s² + 9)

Inverse Laplace transform.

Taking the inverse Laplace transform of the decomposed terms, we find:

L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}

The inverse Laplace transform of 0/(s² + 1) is 0.

The inverse Laplace transform of 0/(s² + 9) is 0.

Combining these terms, we have:

Y(x) = 0 + 0

Therefore, the solution to the initial value problem is:

y(x) = 0

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Answer: 642 Digits have been used to print 250 Pages

Step-by-step explanation:

A book has 250 pages

1 - 250  Numbers will be used

Single Digit number  -  9   ( 1- 9)

Two Digit Numbers   90  ( 10 - 99)

Three Digit Numbers  151  ( 100 - 250)

Number Of Digits used  = 9 * 1  + 90 * 2  + 151 * 3

= 9 + 180 + 453

= 642

642 Digits have  been used to print 250 Pages

The best fit for explaining the growth of this particular function is option 3, polynomial.

A polynomial function is a function that can be expressed in the form of f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + ... + a₂x² + a₁x + a0, where n is a non-negative integer and a0, a1, a2, ..., an are constants.

In this case, the function is 2n³, which can be expressed as f(n) = 2n³ + 0n² + 0n + 0. This is a polynomial function of degree 3, which means it is a cubic function.  ( 3)

Constant functions have the form f(x) = c, where c is a constant. Exponential functions have the form f(x) = abx, where a and b are constants and b is positive.

Linear functions have the form f(x) = mx + b, where m and b are constants. None of these functions match the form of the given function, so the best fit for explaining its growth is a polynomial function.

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he will spend $199.46 on gas

For 14 gallons, he can cover 336 miles

We need to find the number of gallons that he needs to cover 2037 miles

This means 2037 miles require 84.875 gallons

1 gallon = $2.35

84.875 gallons = 84.875 × 2.35 = 199.45625

Therefore, he will spend $199.46 on gas

Answer:

it's a 1/6 chance because it's a 6 faced dice

The given fucntion f'(x) = (-2x) / √(4 - x) f(x) is decreasing for -2 < x < 2.

Use the concept of fucntion defined as:

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Given that,

f'(x) = (-2x²) /√(4 - x²)

We want to determine where f(x) is decreasing.

To determine where the function f(x) is decreasing,

Analyze the derivative, f'(x).

In this case,

f'(x) is given as (-2x²) /√(4 - x²)

To find where f(x) is decreasing,

To look for intervals where f'(x) is negative.

In other words,

Looking for values of x that make f'(x) less than zero.

To simplify the expression (-2x²) /√(4 - x²),

Multiply the numerator and denominator by √(4 - x²).

This gives us (-2x²√(4 - x²)) / (4 - x²).

Analyze the sign of f'(x):

Since the numerator (-2x²√(4 - x²)) is always negative for all real values of x, the sign of f'(x) will be determined by the denominator (4 - x²).

To find where f'(x) is negative:

Set the denominator (4 - x²) less than zero and solve for x.

4 - x² < 0

x² - 4 > 0

(x - 2)(x + 2) > 0

From the above inequality,

We have two critical points: x = -2 and x = 2.

We can now test the intervals between these critical points.

For x < -2, the inequality (x - 2)(x + 2) > 0 is not satisfied, so f'(x) > 0.

For -2 < x < 2, the inequality (x - 2)(x + 2) < 0 is satisfied, so f'(x) < 0.

For x > 2, the inequality (x - 2)(x + 2) > 0 is not satisfied, so f'(x) > 0.

Hence,

f(x) is decreasing for -2 < x < 2.

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Answer:

C. 121cm2

Step-by-step explanation:

The area of a circle is pir^2.

Let pi be rounded to 3.14 and r = 6.2cm

6.2^2*3.14 = 120.76, which rounds to 121cm2

Answer:

Step-by-step explanation:

area of a circle = π r²

                         = π (6.2)²

                         ≈ 21 cm²

Answer:

\(x=1\)

\(y=2\)

Step-by-step explanation:

\(y=x^2+3x-2\) , \(y+3=5x\)

Replace all occurrences of \(y\) in \(y+3=5x\) with \(x^2+3x-2.\)

\((x^2+3x-2)+3=5x\)

\(y=x^2+3x-2\)

Add \(-2\) and 3.

\(x^2+3x+1=5x\)

\(y=x^2+3x-2\)

Subtract 5x from both sides of the equation.

\(x^2+3x+1-5x=0\)

\(y=x^2+3x-2\)

Subtract 5x from 3x.

\(x^2-2x+1=0\)

\(y=x^2+3x-2\)

Rewrite 1 as \(1^2\).

\(x^2-2x+1^2=0\)

\(y=x^2+3x-2\)

Check that the middle term is two times the product of the numbers being squared in the first term and third term.

\(2x=2\) · \(x\) · \(1\)

\(y=x^2+3x-2\)

Rewrite the polynomial.

\(x^2-2\) · \(x\) · \(1\) \(+\) \(1^2=0\)

\(y=x^2+3x-2\)

Factor using the perfect square

trinomial rule \(a^2-2ab+b^2=(a-b)^2,\)

where a = x and b = 1.

\((x-1)^2=0\)

\(y=x^2+3x-2\)

Set the \(x-1\) equal to 0.

\(x-1=0\)

\(y=x^2+3x-2\)

Add 1 to both sides of the equation.

\(x=1\)

\(y=x^2+3x-2\)

Replace all occurrences of \(x\) in

\(y=x^2+3x-2\) with 1.

\(y=(1)^2+3(1)-2\)

\(x=1\)

\(y=2\)