Draw a diagram of and of when x is 3.

9514 404 393

Answer:

  x = 57.6

Step-by-step explanation:

The length of the segment on the right is 30/25 = 1.2 times the length of the segment on the left.

  x = 1.2 × 48 = 57.6

_____

Additional comment

Parallel lines cut transversals proportionally. That is why 30/25 = x/48.

The absolute value is the distance between a number and zero. The distance between 0 and 24 is 24.

Answer:

Group the like terms together:

4x²y + 6x²y + 12z² - 2z

Simplify:

10x²y + 12z² - 2z

The simplified expression is 10x²y + 12z² - 2z.

Step-by-step explanation:

Answer:

The simplified expression is 10x²y + 12z² - 2z

Step-by-step explanation:

To simplify the expression, we combine like terms, which are terms that have the same variables raised to the same powers. In this case, we have two terms with the variable 4x²y and two terms with the variable -2z. We can combine these like terms by adding their coefficients:

4x²y + 6x²y = 10x²y

-2z + (-2z) = -4z

So the expression simplifies to:

10x²y + 12z² - 4z

We can further simplify this expression by combining the terms with the variable z:

12z² - 4z = 4z(3z - 1)

Therefore, the final simplified expression is:

10x²y + 4z(3z - 1)

We can also write this expression as:

10x²y + 12z² - 2z

which is the answer provided.

The population to which it would be most reasonable to generalize the results of the observational study is women who are students at Midwestern colleges in the United States.

This population is well-defined and can be used to make generalizations about the results from the study.

This population can be calculated by taking the total number of college students in the United States and subtracting the number of college students in other regions, as well as the number of male students in the Midwestern region.

The total population of women college students in the Midwestern region of the United States can then be calculated by multiplying the total population by the percentage of female students in the region.

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The expression log₃(x²∛y²) using the laws of logarithms is 2log₃(x) + 2/3log₃(y)

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

log₃(x²∛y²)

The product law of logarithms states that

log(ab) = log(a) + log(b)

Using the above as a guide, we have the following:

log₃(x²∛y²) =  log₃(x²) + log₃(∛y²)

The power law of logarithms states that

log(aᵇ) =  blog(a)

Using the above as a guide, we have the following:

log₃(x²∛y²) =  2log₃(x) + 2/3log₃(y)

This means that the values of A and B are A = 2 and B = 2/3

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Step-by-step explanation:

inside diameter = 11/2 - 3/16 = 85/16 or 5.3125 inches

Topic: fractions

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Answer:

umm are u adding this?

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

The average rate of change is synonymous to the slope of a function.

We want to find the average rate of change for the function:

\(f(x)=-2x^2-3x-8\)

For the interval [3, 4]

So, we simply have to calculate the values of the function at the endpoints and then find the slope between them.

Our endpoint values are x=3 and x=4. So:

\(\begin{aligned} f(3)&=-2(3)^2-3(3)-8 \\ f(3)&=-18-9-8 \\ f(3)&=-35\end{aligned}\)

And:

\(\begin{aligned} f(4)&=-2(4)^2-3(4)-8 \\ f(4)&=-32-12-8 \\f(4)&=-52\end{aligned}\)

So, we have the two points (3, -35) and (4, -52).

Now, we can use the slope formula:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Calculate the slope:

\(m=\frac{-52-(-35)}{4-3}=-17/1=-17\)

Hence, the slope or the average rate of change for our function for the interval [3, 4] is -17.

The value of \((f+g)(1)\) is 3.

In this question we must apply the definition of addition between functions, whose operation is described below:

\((f+g) (x) = f(x) + g(x)\) (1)

\((x, (f+g)(x)) = (x, f(x))+(x, g(x))\) (1b)

If we know that \((x, f(x) ) = (1,1)\) and \((x,g(x)) = (1,2)\), then the result of the operation is:

\((1, (f+g) (1)) = (1, 3)\)

The value of \((f+g)(1)\) is 3.

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Answer:

382.85

Sig Figs

   5

   382.85

Decimals

   2

   382.85

Scientific Notation

   3.8285 × 10^2

E-Notation

   3.8285e+2

Words

   three hundred eighty-two point eight five

Step-by-step explanation:

The first equation is incorrect.

The second equation is correct.

The third equation is correct.

Let's go through each equation and determine whether it is correct or incorrect:

(b²+7b-9)+(4b-6b²) = -8b² + 14b-9

To determine if this equation is correct, we need to simplify both sides and check if they are equal.

On the left side:

(b²+7b-9)+(4b-6b²) = b² - 6b² + 7b + 4b - 9 = -5b² + 11b - 9

On the right side:

-8b² + 14b - 9

Comparing both sides, we can see that -5b² + 11b - 9 is not equal to -8b² + 14b - 9. Therefore, the equation is incorrect.

(4a+6)-(3a²-9a+1)=-3a²+ 13a +5

Again, we need to simplify both sides of the equation and check if they are equal.

On the left side:

(4a+6)-(3a²-9a+1) = 4a + 6 - 3a² + 9a - 1 = -3a² + 13a + 5

On the right side:

-3a² + 13a + 5

Comparing both sides, we can see that -3a² + 13a + 5 is equal to -3a² + 13a + 5. Therefore, the equation is correct.

(12c-8c²)+(5c²- 10c) = -3c²+2c

Again, let's simplify both sides and compare them.

On the left side:

(12c-8c²)+(5c²- 10c) = 12c - 8c² + 5c² - 10c = -3c² + 2c

On the right side:

-3c² + 2c

Comparing both sides, we can see that -3c² + 2c is equal to -3c² + 2c. Therefore, the equation is correct.

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Answer:

OBTUSE

Step-by-step explanation:

You would first have to figure this put via Pythagorean theroem. Basically do this (attachment)***C IS THE LARGEST NUMBER*** and know that c^2 < a^2 + b^2 (less than) = ACUTE, c^2 > a^2 + b^2 (greater than) = OBTUSE, and c^2 = a^2 + b^2 is RIGHT. If it is Right with all different numbers, it is SCALENE.

Answer:

Step-by-step explanation:

y = 149x + 15

y = 149(2) + 15

y = 298 + 15

y = $313

Answer:

Two correct answers: subtracting exponents and

3^ 2/9

Step-by-step explanation:

To divide, subtract exponents. To subtract fractions keep the bottom number the same and subtract the top number. See image.

Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

The triangle of given dimensions is isosceles and acute triangle.

Triangle is a shape with three sides and hence three angles. We know that triangles are classified according to the sides and angles. Based on angles, the classification of triangle is acute, obtuse and right triangle.

Based on sides, the classification of triangle is equilateral, isosceles and scalene triangle. Now, if the dimensions will form a triangle or not can be estimated through the formula -

side 1 + side 2> side 3

We see that 17 + 17 > 12

34 > 12

Thus, the triangle will form.

Moreover the two sides are equal hence it will be isosceles triangle. Since two sides are equal thus two angles will also be equal.

Now, if we square the sides and find their sum, it will be greater than square of third side. Hence, it is acute triangle.

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\(\textit{Cofunction Identities} \\\\ sin\left(\theta-\frac{\pi}{2}\right)=-cos(\theta) \qquad\qquad cos\left(\theta-\frac{\pi}{2}\right)=+sin(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ tan\left(\frac{x}{2}~~ - ~~\frac{\pi }{2} \right)~~ = ~~\sqrt{2}\qquad \qquad \qquad \stackrel{\textit{let's make for a second}}{\cfrac{x}{2}=\theta } \\\\[-0.35em] ~\dotfill\)

\(tan\left(\theta-\frac{\pi}{2}\right)\implies \cfrac{sin\left(\theta-\frac{\pi}{2}\right)}{cos\left(\theta-\frac{\pi}{2}\right)}\implies \cfrac{-cos(\theta )}{+sin(\theta )}\implies -cot(\theta )\implies -cot\left( \frac{x}{2} \right)\)

\(-cot\left( \frac{x}{2} \right)~~ = ~~\sqrt{2}\implies cot\left( \frac{x}{2} \right)=-\sqrt{2} \\\\\\ cot^{-1}\left[ cot\left( \frac{x}{2} \right) \right]=cot^{-1}\left(-\sqrt{2} \right)\implies \cfrac{x}{2}=cot^{-1}\left(-\sqrt{2} \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x=2\left[ cot^{-1}\left(-\sqrt{2} \right) \right]~\hfill\)

Answer:

0.03125

Hope this helps! :)

0.03125 is the answer :) hope it helped

Answer:

28/7

Step-by-step explanation:

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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The mixed fractions and improper fractions are 4 1/3 and 13/ 3

Fractions are part of a whole.

Types of fractions include;

The numbers from 1  - 9 are: 1, 2 , 3, 4, 5, 6, 7, 8, 9

Mixed fraction = 2 1/3

Improper fraction = 7/3

Thus, the mixed fractions and improper fractions are 4 1/3 and 13/ 3

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Angles at the center of a circle add up to 360 degrees.

The measure of angle GEH in the circle is (d) 116 degrees

The given parameters are:

\(\mathbf{\angle FEG = 64^o}\)

Since line FH is the diameter of the circle;

It means that:

\(\mathbf{\angle FEG + \angle GEH = 180^o}\) --- By angle on a straight line theorem

Substitute 64 for FEG

\(\mathbf{64 + \angle GEH = 180^o}\)

Subtract 64 from both sides

\(\mathbf{\angle GEH = 180^o - 64}\)

Evaluate like terms

\(\mathbf{\angle GEH = 116^o}\)

Hence, the measure of angle GEH in the circle is (d) 116 degrees

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Answer:

Step-by-step explanation:

Given function:

Answer choices:

If x represents the number of bracelets and y represents the number of rings, there were 24 more bracelets sold than rings. The total sales were $520.

If x represents the number of bracelets and y represents the number of rings, there were 38 more bracelets sold than rings. The total sales were $520.

If x represents the number of bracelets sold at $24 each and y represents the number of rings sold at $38 each, the total sales were $520.

If x represents the number of bracelets and y represents the number of rings, there were 520 bracelets and rings sold. Bracelets were $24, and rings were $38.

Answer:

Step-by-step explanation:

C

Answer:

x = 6.24

Step-by-step explanation:

x =

Tan32° = OPP/ADJ

Tan32° = x/10

0.624 = x/10

cross-multiply

x = 6.24

Answer: The student will have to pay $900 per month including intrest and a portion of principal

The required answers are 1) \($$A = x^2 + 28x + 192$$\) 2) 300000 3) \($$x^2 + 28x + 192 = (x + 14 - 2\sqrt{19})(x + 14 + 2\sqrt{19})$$\).

area of the land purchased is given as 480m², and the dimensions of the land are (x+12)mx(x+16)m. Therefore, the area of the land can be expressed as:

\($$A = (x+12)(x+16)$$\)

Expanding this expression, we get:

\($$A = x^2 + 28x + 192$$\)

Hence, the area of the land purchased is given by the polynomial expression \($x^2 + 28x + 192$\).

The total budget for the expenses is Rs. 5,00,000. If Mr. Chand's daughter is ready to share 3/5 of the expenses, then the fraction of the expenses she will pay is:

\($\frac{3}{5}=\frac{x}{500000}$$\)

Simplifying this expression, we get:

\($x = \frac{3}{5}\times 500000 = 300000$$\)

Therefore, Mr. Chand's daughter will pay Rs. 3,00,000 towards the expenses.

We can solve the polynomial \($x^2 + 28x + 192$\) into different factors by using the quadratic formula:

\($x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$\)

Here, the coefficients of the polynomial are:

\($$a = 1, \quad b = 28, \quad c = 192$$\)

Substituting these values in the quadratic formula, we get:

\($x = \frac{-28 \pm \sqrt{28^2 - 4\times 1 \times 192}}{2\times 1}$$\)

Simplifying this expression, we get:

\($$x = -14 \pm 2\sqrt{19}$$\)

Therefore, the polynomial \($x^2 + 28x + 192$\) can be factored as:

\($$x^2 + 28x + 192 = (x - (-14 + 2\sqrt{19}))(x - (-14 - 2\sqrt{19}))$$\)

or

\($$x^2 + 28x + 192 = (x + 14 - 2\sqrt{19})(x + 14 + 2\sqrt{19})$$\)

So, we have factored the polynomial into two factors.

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The equation that represents the cost, c, of n sets is c = 63.74n

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

Each volleyball set costs $63.74.

Let the total number of sets be n

So we have

Cost of n = 63.74 * n

This gives

c = 63.74n

Hence, the equation is c = 63.74n

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