2(4x - 1) + 3(3 - 2x) = 0
x = -7/2
Ox= -7/6
Ox= -4
OX= -4/3
Wats the answer?

ok so they raised 12%

12%=12/100=0.12

12% of 552.5=.12 times 552.5=66.3 was raised

552.5-66.3=486.2

divide by 7

486.2/7=69.457 about 69.46

each member must raise at least 69.46

Answer:

Step-by-step explanation:

All numbers in the sequence are odd integers in decreasing order, -351 is also an odd integer, so the answer is YES.

Answer:

Therefore, the angle ∠CDA is 58°.

Step-by-step explanation:

∠CDA = 58°

In the given figure, let's consider the angle ∠CDA as x.

Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.

In triangle CAD, the sum of angles is 180°. So, we have:

∠CAD + ∠CDA + ∠CAB = 180°

Substituting the known values:

32° + x + 90° = 180°

Combining like terms:

x + 122° = 180°

Subtracting 122° from both sides:

x = 180° - 122°

x = 58°

Suppose \(f(x) =8^{3x\) and \(g(x) =8^{4x\), function operations that are correct include the following:

A. (f + g)(x) = \(8^{3x} + 8^{4x}\)

B. (f × g)(x) = \(8^{7x}\)

C. (f - g)(x) = \(8^{3x} - 8^{4x}\)

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the division and multiplication law of exponents for powers of the same base to the functions, we have the following:

(f × g)(x) = \(8^{3x+ 4x}=8^{7x}\)

(f ÷ g)(x) = \(8^{3x- 4x}=8^{-x}\)

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Cliff pays a total interest of approximately $679.90 on his $5,000 loan.

To calculate the total interest paid on the loan, we need to use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A is the final amount (loan amount + interest)

P is the principal (loan amount)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the number of years

Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:

P = $5,000

r = 7% = 0.07

n = 12 (monthly compounding)

t = 2 years

\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)

Calculating this expression:

A ≈ 5000\((1.00583)^{(24)\)

A ≈ 5000(1.13598)

A ≈ 5679.90

The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):

Total Interest = A - P

Total Interest = 5679.90 - 5000

Total Interest ≈ $679.90

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Answer:

no you will not be able to park the boat

Step-by-step explanation:

ok so now i need those reviews

None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

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f(x) *g(x) = (x-3)(x+11) = x^2 +11x -3x -33 = x^2 +8x -33

Sorry if its wrong :(

Answer:

Step-by-step explanation:

-2x² + 12x  + 32 = 0

discriminant = 12² - 4(-2)(32) = 400

positive discriminant means there are two distinct real roots

x = [-12 ± √(12² – 4(-2)·32)] / [2·(-2)]

 = [-12 ± √400] / (-4)

 = [-12 ± 20] /(-4)

 = 8, -2

Answer:

x=6

Step-by-step explanation:

Answer:

so basically all u have to do is multiply the length, width, and height.

that's literally it to find the volume of this

so the answer would be 37 1/8 I think

hope this helped

Answer:

$150

Step-by-step explanation:

200 - 50 = 150

The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).

Answer:

Step-by-step explanation:

According to the question, the equation is:

Let's see

Zero Factor Theorem

Since this is a multiplication that results in zero, we can separate its two terms and set them equal to zero to solve

We solve a+14=0

Therefore, the solutions to the second degree equation are:

The algebraic rule for the transformation is B' = (Bx + 15, By - 12)

Given data ,

To determine the algebraic rule for the transformation from point B to point B', we need to find the equations that relate the coordinates of the preimage point B to the image point B'.

Let's denote the translation amounts in the x-direction and y-direction as (dx, dy). The coordinates of B' can be obtained by adding these translation amounts to the coordinates of B:

B' = (Bx + dx, By + dy)

Given that B is located at (5, -4) and B' is located at (20, -16), we can calculate the translation amounts:

dx = 20 - 5 = 15

dy = -16 - (-4) = -12

Hence , the algebraic rule for the transformation is B' = (Bx + 15, By - 12)

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The area of the dish, a, can be represented by the product of its length and width. Thus, we can write:

a = (279/10) cm x (178/10) cm

Simplifying this expression, we get:

a = 4953/100 cm^2

So, the correct equations are:

B) 178/10 x 279/10 = a

and

D) a ÷ 178/10 = 279/10

Answer:

SSS theorem

Step-by-step explanation:

It is indicated in the image that 2 sides of the triangles are congruent, and the third side is shared, which makes the third side automatically congruent as well. Therefore, we can use the side-side-side theorem to prove that the triangles are congruent.

Answer:

Step-by-step explanation:

6x5x7=210

the volume is 7m

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

1) Polynomial of 4 terms.

2) The rational roots of the function are,

x = - 2, 1

3) The zeroes of the function are,

x = - 2, - 3, 2

4) The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) The correct function which shows the cubic equation is, option 1.

We have to given that;

1) Function is,

⇒ 3x⁵ + 5x⁴ - 7x³ + 15

Clearly, There are 4 terms in function.

Hence, Polynomial of 4 terms.

2) Function is,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

The correct rational roots are satisfy the function,

Hence, We get;

Plug x = 1,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0

⇒ 0 = 0

Plug x = - 2;

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0

⇒ 0 = 0

Thus, The zeroes of the function are,

x = - 2, 1

3) Function is,

⇒ y = (x + 3) (x + 2) (x - 2)

Hence, The zeroes of the function are,

x = - 3

x = - 2

x = 2

4) Function is,

⇒ 3x² - 4 = - x⁴

⇒ x⁴ + 3x² - 4 = 0

⇒ x⁴ + 4x² - x² - 4 = 0

⇒ x² (x² + 4) - 1 (x² + 4) = 0

⇒ (x² - 1) (x² + 4) = 0

⇒ x² - 1 = 0

⇒ x² = 1

⇒ x = ±1

⇒ x² + 4 = 0

⇒ x² = - 4

⇒ x = ±2i

Hence, The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) By given graph the  correct function which shows the cubic equation is, Option 1.

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Answer:

Ariel ate the most .

Step-by-step explanation:

hope this helps you.

Answer:

dan

Step-by-step explanation:

find the common denomanator= 28

dan 6/7 to the common denomanator is 24/28

ariel 3/4 is 21/28

Answer: The mean is the same as the average. In order to find the mean, or average score of the two tests, you need to take the sum of the two tests, and then divide by the number of tests, which is two.

We don't know the score of the second exam. Let it = x

Then we have the following equation:

(88 + x)/2 = 93

88 + x = 2 * 93

88 + x = 186

x = 186 - 88 = 98

You need to score a 98 on the second test

⇒Group the like terms together first.

\(5t-3t=-5+3\)

⇒When a term in the equation changes position from left to right or from left to right ,it will also change its sign .

⇒The second step is to simplify like terms.

\(2t=-2\)

⇒In the last step you will have to divide all the terms of the equation by the coefficient of the unknown variable.

\(\frac{2t}{2} =\frac{-2}{2} \\t=-1\)

∴ t = -1 is the solution.

The answer is:

Work/explanation:

Begin by subtracting 3t on each side:

\(\sf{5t-3=3t-5}\)

\(\sf{5t-3t-3=-5}\)

Simplify the left side

\(\sf{2t-3=-5}\)

Add 3 on each side

\(\sf{2t=-5+3}\)

\(\sf{2t=-2}\)

Divide each side by 2

\(\sf{t=-1}\)

Answer:

download photo math will help you and show you the steps

Answer:

$1.676 but you can round it to $1.68

Step-by-step explanation:

Answer: About $1.68

Step-by-step explanation:

I just used a calculator but you would do:

20 ?

—— ——

100 $8.38

Then you would cross multiply 20x8.38 which gives you 167.6 then you’d divide by 100 and get 1.676 and round up to 1.68!

a) P(psychology student)  = 1/3. b) P(psychology or anthropology student)  = 5/6. c) P(not sociology student)= 5/6

(a) The probability of choosing a psychology student is the number of psychology students divided by the total number of students:

P(psychology student) = 4/(6+2+4) = 4/12 = 1/3

(b) The probability of choosing a psychology student or an anthropology student is the sum of the number of psychology and anthropology students divided by the total number of students:

P(psychology or anthropology student) = (4+6)/(6+2+4) = 10/12 = 5/6

(c) The probability of not choosing a sociology student is the number of non-sociology students divided by the total number of students:

P(not sociology student) = (6+4)/(6+2+4) = 10/12 = 5/6

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None of the sequence of transformation not produce the same image

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A reflection across the x-axis, then a counter-clockwise rotation 90 degrees

The rule of reflection across the x-axis is:

(x, y)--->(x, -y)

The rule of 90 degrees counter-clockwise rotation is:

(x, y)--->(-y, x)

So, we have:

(x, -y)--->(y, x)

(x, y) and (y, x) are different.

Hence, this sequence of transformation does not produce the same image

Hence, none of the sequence of transformation not produce the same image

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Answer:

A, C, D

Explanation:

I just did the assignment on edge