Is 3²+3³ equal to 3⁵?
( yes, no ) the expressions (are, are not ) equal

Answer:#1 A, #2 B

Step-by-step explanation:

Heres the proof

Answer: 6 children

Step-by-step explanation:

Given:

Children - 24

Groups - 4

Number of children per group - x

Solve:

24 ÷ 4 = x

x = 6

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Answer:

[tex]5 \leqslant x \leqslant 8[/tex]

Answer:

Right Triangles

Step-by-step explanation:

Answer:

[tex]x \: = \: \boxed{ \bold{ - 4 }}\: \: \text{or} \: \: x \: = \: \boxed{ \bold{ 8}}[/tex]

Step-by-step explanation:

[tex](x \: - \: 2 {)}^{2} \: + \: 2 \: = \: 38[/tex]

[tex] {x}^{2} \: - \: 4x \: + \: 4 \: + \: 2 \: = \: 38[/tex]

[tex] {x}^{2} \: - \: 4x \: + \: 6 \: = \: 38[/tex]

[tex] {x}^{2} \: - \: 4x \: + \: 6 \: - \: 38 \: = \: 0[/tex]

[tex] {x}^{2} \: + \: 4x \: - \: 8x \: - \: 32 \: = \: 0[/tex]

[tex]x \: \times \: (x \: + \: 4) \: - \: 8(x \: + \: 4) \: = \: 0[/tex]

[tex](x \: + \: 4) \: \times \: (x \: - \: 8) \: = \: 0[/tex]

[tex]x \: + \: 4 \: = \: 0 \\ x \: - \: 8 \: = \: 0[/tex]

[tex]x \: = \: - 4 \\ x \: = \: 8[/tex]

[tex]x \: = \: - 4 \\ x \: = \: 8[/tex]

The equation on the graph is shown (I really hope this helps)

Equation of the translated graph is;

⇒y = cos(x - 30) - 1

What is equation of translated graph?

Equation of the translated graph is solved as;

g(x) = f(x + k) + C

Where, k and C are points.

Given that;

The equation is;

y = cos x

Since, Graph of function y = cosx is translated by (30, -1).

So, Equation of translated graph will be;

y = cos(x - 30) - 1

Hence, The equation of the translated graph will be;

⇒ y = cos(x - 30) - 1

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Answer:

C

Step-by-step explanation:

-4x+2<6

-4x<4

x<-1

because the sign doesnt have a line under it, it is an open hole

Answer:

all rhombuses are parallelograms, all trapezoids are quadrilaterals 

Step-by-step explanation:

rhombuses have all equal sides, 2 sets of parallel lines and are a diamond shape. a quadrilateral is a shape with 4 sides (quad means 4) therefore, all rhombuses are parallelograms. we know that all trapezoids have 4 sides, so we can conclude that all trapezoids are quadrilaterals i hope this helped because i know that end of year tests are super hard.

uhm i dont know sorry but i can't help you

Step-by-step explanation:

If you know, the sine. You must find the cos ratio, using the Pythagorean trig theorem.

Next, you use the half angle identity for sin

[tex] \sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos(a) }{2} } [/tex]

Example.

[tex] \sin( \alpha ) = \frac{ \sqrt{3} }{2} [/tex]

We must find

[tex] \sin( \frac{ \alpha }{2} ) [/tex]

First, use the Pythagorean identity

[tex] \sin {}^{2} ( \alpha ) + \cos {}^{2} ( \alpha ) = 1[/tex]

[tex]( \frac{ \sqrt{3} }{2} ) {}^{2} + \cos {}^{2} (a) = 1[/tex]

[tex] \frac{3}{4} + \cos {}^{2} (a) = 1[/tex]

[tex] \cos {}^{2} (a) = \frac{1}{4} [/tex]

[tex] \cos( \alpha ) = \frac{1}{2} [/tex]

Now use the half angle identiy

[tex] \sin( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos( \alpha ) }{2} } [/tex]

[tex] = \frac{ \sqrt{1 - \frac{1}{2} } }{ \sqrt{2} } [/tex]

[tex] = \frac{ \sqrt{ \frac{1}{2} } }{ \sqrt{2} } [/tex]

[tex] = \frac{ \sqrt{ \frac{1}{2} } }{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{ \sqrt{1} }{ \sqrt{4} } = \frac{1}{2} [/tex]

So the answer for our example is 1/2

Answer:

18

Step-by-step explanation:

Here,

given,

a=3 and b=6

Then

4a+b=?

Put respective values on 4a+b

4*3+6

=12+6

=18

Answer:

18

Step-by-step explanation:

step 1:4a+b=

step 2:(4x3)+6=

step 3:12+6=

answer=18

hope this helps

Answer:

Hi,

Step-by-step explanation:

Using the pythagorean theorem , let's calculate the apothem of a side:

a²=26²-10²=57=24²

Area of a side: 24*10*2/2=240 (ft²)

Lateral area=240*4=960(ft²)

Area of the base: 20²=400 (ft²)

Total area=1360(ft²)

Answer: x (x - 1)

Step-by-step explanation:

[tex]2x^{2} - x^{2} -x[/tex]

[tex]x^{2} -x[/tex]

x (x - 1)

Answer:

vertex

Step-by-step explanation:

Answer:

If you entered the function correctly there is not a range  

Step-by-step explanation:

Answer: {y|-♾<y<0}

Step-by-step explanation: i’m taking this summer school class

Answer:

180

Step-by-step explanation:

Find the value of x and the measure of angleMNQ.

3x − 11°62°

The value of x is

90

° and the measure of angleMNQ is

180

°.

Answer: [tex]109^{\circ}[/tex]

Step-by-step explanation:

The exterior angles of a polygon add to 360 degrees, so the sixth angle measures [tex]360-39-47-42-59-64=\boxed{109^{\circ}}[/tex]

Answer:

2 5/8 inches

Step-by-step explanation:

There are 2 pieces 5 3/4 inches long.

There is 1 piece 5 1/2 inches long.

There are 4 pieces 5 1/4 inches long.

The seventh longest piece is one of the pieces measuring 5 1/4 inches.

Juan's piece is 1/2 as long as 5 1/4 inches.

1/2 × 5 1/4 inches = 1/2 × 21/4 = 21/8 inches = (16/8 + 5/8) = 2 5/8 inches

Answer:

[tex] (\frac{{m}^{2} }{4} )\pi[/tex]

Step-by-step explanation:

we can find the radius from the diameter by dividing the diameter by 2 (radius is half the diameter)

the formula for the area of a circle is r²π (with r being radius) but since we must use diameter we have to replace r with (m/2)

this gives us our new formula of (m/2)²π, which simplifies to (m²/4)π

that is the answer

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The interval where |q| will fall will be[ 12√2−7√3,∞ ).

A complex number is an element of a number system that contains the real numbers and a specific element.

In this case, p and q are complex numbers such that |p|=7√3 and |p+q|=12√2. The interval where |q| will fall will be[ 12√2−7√3,∞ ).

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Answer:

8.25 feet

Step-by-step explanation:

to find the width, you divide the area by the length

103 1/8 / 12 1/2 = 8.25

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The ordered pairs of the equation are

The equation is given as

3x + 8y = 6000

We have x = number of tables

y = number of chairs

When x = 0

3(0) + 8y = 6000

8y = 6000

y = 750

When y = 0

3x + 8(0) = 6000

3x = 6000

x = 2000

The ordered pairs of the products are:

0 table 750 chairs

200 tables, 0 chairs.

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The angle of depression is 35 degree in the right angle triangle if the angle BAC is 55 degree.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have shown a right-angle triangle in the picture.

In the right angle triangle, ABC

The angle BAC = 55 degree

Angle BAA' = 90 degree

In the figure, the angle of depression = CAA'

= BAA' - BAC

= 90 - 55

= 35 degree

Thus, the angle of depression is 35 degree in the right angle triangle if the angle BAC is 55 degree.

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Using it's formula, it is found that the value of the monthly payment for the loan to buy the drum set is of $50.32.

It is given by:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which:

In this problem, the parameters are given as follows:

P = 1800, r = 0.1525, n = 4 x 12 = 48.

Hence:

r/12 = 0.1525/12 = 0.01270833.

Hence, the monthly payments will be of:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]A = 1800\frac{0.01270833(1 + 0.01270833)^{48}}{(1 + 0.01270833)^{48} - 1}[/tex]

A = 50.32.

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Answer:

32 times

Step-by-step explanation:

the probability in getting a certain number is you first find out the chance of rolling one side on a die. There are six sides, and there is two numbers on it you want a 3 and a 1. so you would get 2/6 would be the fraction of what you what most likely get, so you would multiply 95 by 2/6 you get the correct answer

There are 11 elements are in (A U B)

The given parameters are:

n(A) = 4

n(B) = 7

The number of elements in (A U B) is calculated using:

n(A U B) = n(A) +n(B) - n(A U B)

Given that the sets have distincts elements, we have:

n(A U B) = 4 + 7 - 0

Evaluate

n(A U B) = 11

Hence, there are 11 elements are in (A U B)

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Answer: There are 11 elements are in (A U B)

Step-by-step explanation:

The function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function that has vertex at (2, 6)

The options are:

f(x) = 2|x – 2| – 6

f(x) = 2|x – 2| + 6

f(x) = 2|x + 2| + 6

f(x) = 2|x + 2| – 6

As we know the vertex form of a quadratic function is given by:

f(x) = a(x - h)² + k

Similarly, mod function  can be expressed as:

m(x) = a|x - h| + k

Here (h, k) is the vertex of a function.

In the function:

f(x) = 2|x – 2| + 6

The vertex of the function is (2, 6)

Thus, the function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.

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