y=(-6)3x-8=
what is the answer

Answer:

a=0 or a=2

Hope it helped!

Answer:

4a²-8a=0

4a(a−2)=0

The final solution is all the values that make 4a(a−2)=0 true.

a=0,2

Step-by-step explanation:

Answer:

256

Step-by-step explanation:

Answer:

256 cm

Step-by-step explanation:

16 x 4 = 64

16 x 8 = 128

8 x 8 = 64

64 + 64 = 128  + 128 = 256

Answer:

The 5 for $10 because its 2 dollars for a bag while the first is 3 dollars for a bag

Step-by-step explanation:

Answer:

I'm guessing the five for $10. If you were to by 5 for $3 it would be more than the five for $10. If there are 5 bags for $10 I'm assuming each bag is $2 which is lower than $3.

Step-by-step explanation:

Answer:

Use Microsoft math

Step-by-step explanation:

That's easier than asking on this app ngl

now the sum

blanks

1)11/3

2)5/3

3)16/3 or 5 1/3

4) 5

5) 6

6) wasnt

Jamie runs 3 2/3 miles on Monday and 1 2/3 miles on Tuesday . Jamie says the total distance she runs is Monday and Tuesday is between 4 and 5 . Is she correct? Rewrite 3 2/3 as the fraction 11/3 and rewrite 1 2/3 as the fraction 5/3, the sum of this fractions is 16/3, so the total distance Jamie runs on Monday and Tuesday is between 5 and 6, and Jamie isn't correct.

Answer:

Alex has 3x dollars and an extra 15 dollars in his coat pocket. He buys a new Nike shoe for 84 dollars. How much money did Alex spend that was not in his pocket.

Step-by-step explanation:

Answer:

Part A: Word problem

Maria went to the store and purchased some books for her book club. Each book cost $3, and she also bought some bookmarks at $15 each. Maria's total purchase, including tax, amounted to $84. If Maria bought x books, write an equation to represent the situation.

Part B: Solution

To solve the equation 3x + 15 = 84, we need to isolate the variable x on one side of the equation.

Step 1: Subtract 15 from both sides of the equation to eliminate the constant term on the left side:

3x + 15 - 15 = 84 - 15

3x = 69

Step 2: Divide both sides of the equation by 3 to isolate x:

3x/3 = 69/3

x = 23

So, the solution to the equation is x = 23.

Part C: Explanation

In the given equation 3x + 15 = 84, the variable x represents the number of books Maria purchased. The equation states that the cost of x books at $3 each, represented by 3x, plus the cost of $15 for bookmarks, totals to $84. Thus, the value of x represents the number of books Maria bought in this scenario. In the solution, x = 23, it means Maria purchased 23 books for her book club.

Step-by-step explanation:

Step-by-step explanation: answer {x,y,z} = {1,-2,5}

/ Solve equation [3] for the variable x

[3] x = 2y - 5z + 30

// Plug this in for variable x in equation [1]

[1] 2•(2y-5z+30) - 5y + 3z = 27

[1] - y - 7z = -33

// Plug this in for variable x in equation [2]

[2] 4•(2y-5z+30) + 3y - 7z = -37

[2] 11y - 27z = -157

// Solve equation [1] for the variable y

[1] y = -7z + 33

// Plug this in for variable y in equation [2]

[2] 11•(-7z+33) - 27z = -157

[2] - 104z = -520

// Solve equation [2] for the variable z

[2] 104z = 520

[2] z = 5

// By now we know this much :

x = 2y-5z+30

y = -7z+33

z = 5

// Use the z value to solve for y

y = -7(5)+33 = -2

// Use the y and z values to solve for x

x = 2(-2)-5(5)+30 = 1

(a) 95% confidence interval for the difference between female and male times is (11.954, 255.591).

(b) The assumptions and conditions for the two-sample t-test are met, so we can use the results of the test and confidence interval.

a) To construct a 95% confidence interval for the difference between female and male times, we can use a two-sample t-test. Let's denote the mean time for female swimmers as μf and the mean time for male swimmers as μm. We want to test the null hypothesis that there is no difference between the two means (i.e., μf - μm = 0) against the alternative hypothesis that there is a difference (i.e., μf - μm ≠ 0).

The formula for the two-sample t-test is:

t = (Xf - Xm - 0) / [sqrt((s^2f / nf) + (s^2m / nm))]

where Xf and Xm are the sample means for female and male swimmers, sf and sm are the sample standard deviations for female and male swimmers, and nf and nm are the sample sizes for female and male swimmers, respectively.

Using the data from the plots, we get:

Xf = 917.5, sf = 348.0137, nf = 15

Xm = 783.7273, sm = 276.0625, nm = 28

Plugging in these values, we get:

t = (917.5 - 783.7273 - 0) / [sqrt((348.0137^2 / 15) + (276.0625^2 / 28))] = 2.4895

Using a t-distribution with (15+28-2) = 41 degrees of freedom and a 95% confidence level, we can look up the critical t-value from a t-table or use a calculator. The critical t-value is approximately 2.021.

The confidence interval for the difference between female and male times is:

(917.5 - 783.7273) ± (2.021)(sqrt((348.0137^2 / 15) + (276.0625^2 / 28)))

= 133.7727 ± 121.8187

= (11.954, 255.591)

Therefore, we can be 95% confident that the true difference between female and male times is between 11.954 and 255.591 minutes.

b) Assumptions and conditions for the two-sample t-test:

Independence, We assume that the observations for each group are independent of each other.

Normality, We assume that the populations from which the samples were drawn are approximately normally distributed. Since the sample sizes are relatively large (15 and 28), we can rely on the central limit theorem to assume normality.

Equal variances, We assume that the population variances for the female and male swimmers are equal. We can test this assumption using the F-test for equality of variances. The test statistic is,

F = s^2f / s^2m

where s^2f and s^2m are the sample variances for female and male swimmers, respectively. If the p-value for the F-test is less than 0.05, we reject the null hypothesis of equal variances. If not, we can assume equal variances. In this case, the F-test yields a p-value of 0.402, so we can assume equal variances.

Sample size, The sample sizes are both greater than 30, so we can assume that the t-distribution is approximately normal.

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Answer:

Step-by-step explanation:

x = 5 + √16

x = 5 + 4

x = 9

Answer:

13% ? or if you meant write 13 as a percentage of 20 then the answer is 65%

<3 Enjoy,

    Dea

La base y la altura del rectángulo mide 7 y 13 centímetros, respectivamente.

Por geometría sabemos que el área de un rectángulo (\(A\)), en centímetros cuadrados, es igual al producto de la base (\(b\)) y la altura (\(h\)), ambas en centímetros.

Mediante álgebra tenemos la siguiente expresión:

\(x\cdot (x+ 6) = 91\)

\(x^{2}+6\cdot x - 91 = 0\) (1)

Las raíces de este polinomio se determinan mediante la fórmula cuadrática:

\(x_{1} = 7\), \(x_{2} = 13\)

En consecuencia, la base y la altura del rectángulo mide 7 y 13 centímetros, respectivamente. \(\blacksquare\)

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a) Since the triangles are congruent, and ΔABC is congruent to ΔDEF, segments AB and DE have the same value. Therefore, you can use algebra to solve for x when using the knowledge that (12 - 4x) is equal to (15 - 3x).

To solve:

12 - 4x = 15 - 3x

12 = 15 + x

-3 = x

Therefore, x is equal to -3.

b) To find the value of AB, plug in the value of x found in part a).

12 - 4x

12 - 4(-3)

12 - (-12)

12 + 12 = 24

Thus, segment AB is equal to 24.

c) As shown in part b), plug in the value of x found in part a) to find the value of segment DE.

15 - 3x

15 - 3(-3)

15 - (-9)

15 + 9 = 24

Thus, segment DE is also equal to 24.

We can confirm the knowledge of the equal side lengths because the triangle are congruent. This means that all the side lengths in the triangle are the same, which is confirmed when algebraically plugging in the value of x to solve for the values of the segments AB and DE.

I hope this helps!

Answer:

$14,000

Step-by-step explanation:

i = prt

i= ($70,000)(.04)(5)

i = $14,000

Answer:

$14000

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 70000 × 4/100 × 5

I = $14000

Answer:

A' = (-2, -4)

B' = (-7, -6)

C' = (0, 0)

Step-by-step explanation:

Vertices of triangle ABC:

Given mapping rule:

(x, y) → (x - 4, y - 1)

This notation tells you that the x-coordinate is translated 4 units to the left, and the y-coordinate is translated 1 unit down.

Substitute the coordinates of each point into the mapping rule to find the vertices of triangle A'B'C':

⇒ A' = (2 - 4, -3 - 1) = (-2, -4)

⇒ B' = (-3 - 4, -5 - 1) = (-7, -6)

⇒ C' = (4 - 4, 1 - 1) = (0, 0)

The width of the rectangle is 9 meter.

Now, According to the question:

The perimeter of a rectangle is defined as the sum of all the sides of a rectangle. For any polygon, the perimeter formulas are the total distance around its sides. In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the length of the rectangle and it is denoted by the alphabet “p”.

Now, Solving the problem:

Perimeter of rectangle is 50 meter sq.

Length of the rectangle(L) is 16 meter.

We have to find the width (W) of the rectangle.

We know that,

Perimeter of rectangle is = 2 (L + W)

50 = 2(16 + W)

50 = 32 + 2W

2W = 50 - 32

2W = 18

W = 18/2

W = 9

Hence, The width of the rectangle is 9 meter.

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(a) The standard error is 1.17. (b) IT is a two-sided test. (c) If a = 0.05, it can be concluded that we can reject the null hypothesis and accept the alternative hypothesis. (d) A 90% two-sided CI on the difference in means is (0.33, 4.37).

(a) The missing value for the standard error of the difference in sample means can be calculated using the formula:

Standard error = (Difference in sample means) / (Test statistic) = 2.35 / 2.01 = 1.17

(b) This is a two-sided test because the P-value is given for a two-sided test. If it were a one-sided test, the P-value would be half of the given value, or 0.0149.

(c) If a = 0.05, we can conclude that the difference in sample means is statistically significant because the P-value (0.0298) is less than a (0.05). This means that we can reject the null hypothesis and accept the alternative hypothesis that there is a difference in the means.

(d) A 90% two-sided CI on the difference in means can be calculated using the formula:

CI = (Difference in sample means) ± (t-value) × (Standard error)

The t-value for a 90% two-sided CI with 18 degrees of freedom is 1.734. So the CI is:

CI = 2.35 ± 1.734 × 1.17 = (0.33, 4.37)

Therefore, the 90% two-sided CI on the difference in means is (0.33, 4.37).

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Step-by-step explanation:

Given that,

The area of an isosceles triangle, A = 192 cm²

The ratio of base and height is 3:2.

The area of a triangle is given by :

\(A=\dfrac{1}{2}\times b\times h\)

Let base = 3x and height = 2x

So,

\(192=\dfrac{1}{2}\times 3x\times 2x\\\\3x^2=192\\\\x^2=64\\\\x=8\)

Base = 3x = 3(8) = 24 cm

Height = 2x = 2(8) = 16 cm

Let equal sides be 16 cm and base be 24

So,

Perimeter = sum of all sides

= 16+16+24

= 56 cm

Hence, this is the required solution.

The number of hours that the cost will be the same is 4 hours.

From the information illustrated, Gabriella is deciding between two landscaping companies for her place of business.

Company A charges $30 per hour and a $225 equipment fee. Thus will be:

225 + 40h

Company B charges $55 per hour and a $125 equipment fee. This will be:

125 + 55h.

h = number of hours

Collate the equations

225 + 30h = 125 + 55h

Collect like terms

55h - 30h = 225 - 125

25h = 100

Divide

h = 100 / 25

h = 4

The number of hours is 4 hours

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Answer:

it's 45.09

Step-by-step explanation:

8% of 41.75 is 3.34

3.34 + 41.75 is 45.09

Answer:

$7.1875

Step-by-step explanation:

$28.75 x .25=7.1875

The other measurement of the golden rectangle is 9.87 inches. (Option C)

Golden rectangle refers to a rectangle whose sides are in the golden ratio. Golden ratio refers to the ratio between two quantities if their ratio is equal to the ratio of their sum to the larger of the two quantities. In other words, it exists when a line is divided into two parts and the longer part (a) divided by the smaller part (b) is equal to the sum of (a) + (b) divided by (a) which both approximately equal to 1.618.

Hence, if one measurement of the rectangle is 6.1 inches, the other measurement would be = 6.1*1.618 ≈ 9.87 inches

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To reduce the third-order ordinary differential equation y - y" - 4y + 4y = 0 into a companion system of linear equations, we introduce new variables u and v:

Let u = y,

v = y',

w = y".

Taking the derivatives of u, v, and w with respect to the independent variable (let's denote it as x), we have:

du/dx = y' = v,

dv/dx = y" = w,

dw/dx = y"'.

Now we can rewrite the given differential equation in terms of u, v, and w:

u - w - 4u + 4u = 0.

Simplifying the equation, we get:

-3u - w = 0.

This equation can be expressed as a system of first-order linear differential equations as follows:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

Now we have a companion system of linear equations:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

To solve this system completely, we need to find the solutions for u, v, and w. By solving the system of differential equations, we can obtain the solutions for u(x), v(x), and w(x), which will correspond to the solutions for y(x), y'(x), and y"(x), respectively.

The exact solutions for this system of differential equations depend on the initial conditions or boundary conditions that are given. By applying appropriate initial conditions, we can determine the specific solution to the system.

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The statement "when 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar of the complex number." is correct.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number:

= 6 + 4i

Multiplied by 3:

= 18 + 12i

If we plot on the coordinate plane there will be no rotation the scalar has changed by multiplying with a real number.

Thus, the statement "when 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar of the complex number." is correct.

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In computer programming, variables are used to store and manipulate data. In this case, an int variable named strawsoncamel has been declared and assigned a value.

To increase the value of strawsoncamel by 1, you can use the increment operator (++). This operator adds 1 to the current value of the variable and assigns the result back to the variable.

For example, if strawsoncamel has a value of 5, the statement strawsoncamel++; would increase its value to 6. This can be useful in many scenarios, such as counting or iterating through a loop. It's important to note that the increment operator can also be used in other ways, such as ++strawsoncamel, which increments the value of the variable before it is used in an expression.

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To increase the value of the variable strawsoncamel by 1, you can use the increment operator "++". So the statement would be:
strawsoncamel++;

This will increment the value of strawsoncamel by 1. The increment operator is an example of an operator in programming, which performs a specific operation on a variable. In this case, it increases the value of the variable by 1, which is also known as an increment.
To increase the value of the integer variable `strawsoncamel` by 1 using the increment operator, follow this step:
Write the statement: `strawsoncamel++;`
This line of code will use the increment operator (`++`) to increase the value of the variable `strawsoncamel` by 1.

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By cross multiplication, we have found the following results:

a) 20 miles are equal to 32.180 kilometers.

b) 64 kilometers are equal to 39.776 miles.

In this problem we must convert a given value in a unit into its equivalent quantity in another unit of same kind. We must convert miles to kilometers and viceversa by using conversion rates and cross multiplication.

First, we must convert a distance of 20 miles to kilometers by cross multiplication:

x = 20 mi × (1.609 km / 1 mi)

x = 32.180 km

Second, we must convert a distance of 64 kilometers to miles by cross multiplication:

x = 64 km × (1 mi / 1.609 km)

x = 39.776 mi

The graph is missing, but this question can resolved by using conversion rates, that is, a mile equal 1.609 kilometers.

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Answer:

here is the answer⬇️

The simple interest rate that will ensure that Bob's investment of R6,500 equals Alice's 3% compound interest per year investment is 3.2%.

The difference between simple interest and compound interest is that simple interest computes interest on the principal only for each period.

Compound interest computes interest on both the principal and accumulated interest for each period.

Alice:

Principal investment = R6,500

Compound interest rate per year = 3%

Investment period = 5years

Future value = R7,535.28 (R6,500 x 1.03⁵)

Total Interest R1,035.28 (R7,535.28 - R6,500)

Bob:

Principal invested = R6,500

The simple interest rate = r

Investment period = 5years

The future value of the simple interest investment, A = P(1+rt)

7,535.28 = 6,500(1 + 5r)

Dividing each side b 6,500:

1.15927 = (1 + 5r)

5r = 0.15927

r = 0.031854

r - 0.032

r = 3.2% (0.32 x 100)

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Calculate r, giving your answer correct to 1 decimal place.

Answer:

14.52% are unicyclists

Step-by-step explanation:

First, we can use proportions to find the number of unicyclists at the convention. Since we know that the ratio of unicyclists to aerial artists is 9:11, and there are 88 aerial artists, we can set up the following equation:

\(\frac{9}{11}=\frac{x}{88}\)

If we cross multiply, we get that 11x = (88)(9). After we divide through by 11 to isolate x, we get that x = (8)(9) = 72

Second, we have to figure out the number of mimes at the convention to figure out the total number of people there. We know that the ratio of unicyclists to mimes is 3:14, and the number of unicyclists is 72. So, we can set up the following proportion:

\(\frac{3}{14}=\frac{72}{y}\)

If we cross multiply, we get that 3y = 1008, or y = 336 mimes

The total number of people at the convention is 336 mimes + 72 unicyclists + 88 unicyclists = 496. Now we have to figure out what percent of 496 is 72 (the number of unicyclists). If we let z = the percentage, we can simply set up an equation that says that 72 is z% of 496:

\(72=0.01z*496\\0.01z=0.14516\\z=14.52\)

This means that approximately 14.52% of the performers are unicyclists.

Answer:

14.52%

Step-by-step explanation:

U/A = 9/11       and   A = 88      multiply by  8/8   ( to get A=88 as given)

9/11 * 8/8 = 72/88  = U / A       so U = 72

Then U/M = 3/14    multiply by  24/24   ( to get U = 72 as found above)

  then  U/M=    72 / 336     M = 336

U / ( A + U + M )  x  100% = 14.52 %

Answer:

a science of numbers.

Step-by-step explanation:

it helps us solve logical and theoretical problems in hidden and on sight sequence of life.....