I need help finding the area of the kite and trapezoid.

Answer:

4x² + 14x + 12

Step-by-step explanation:

There are several different methods you can use to multiply binomials, but I will walk through the FOIL method.

First - Multiply the first terms of each binomial

2x · 2x

Outer - Multiply the outside terms of each binomial (the first term of the first binomial and the second term of the second binomial)

2x · 4

Inner - Multiply the inside terms of each binomial (the second term of the first binomial and the first term of the second binomial)

3 · 2x

Last - Multiply the last term of each binomial

3 · 4

Then you will add each product together to get the expression 4x² +  8x + 6x + 12. This is not our answer as we have to combine like terms to simplify.

After simplifying, 4x² + 14x + 12 will be the answer.

To simplify the expression 5.2 + 3.6x - 8 + x, combine like terms to get -2.8 + 4.6x, which is the final simplified expression.

The student's question involves simplifying the expression 5.2 + 3.6x – 8 + x. To simplify the given algebraic expression, combine like terms. Like terms in this expression are the constant terms (5.2 and -8) and the variable terms (3.6x and x).

First, add the constant terms together:

5.2 - 8 = -2.8

Then, combine the variable terms:

3.6x + x = (3.6 + 1)x = 4.6x

Now, put the constants and variable terms together to get the simplified expression:

-2.8 + 4.6x

To check if the simplified expression is reasonable, ensure that all like terms have been correctly combined. There is no further simplification possible, so this is the final answer.

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Answer:

f(8) = 3^8  = 6561

Step-by-step explanation:

f(x) = 3^x

Let x =8

f(8) = 3^8

     = 6561

Answer:

f(8) = 6561

Step-by-step explanation:

f(x) = 3^x        Substitute x = 8

f(8) = 3^8       Simplify the exponent

f(8) = 6561

Answer:

(5,0) and (-1,0)

Step-by-step explanation:

Answer:

-62.5008

Step-by-step explanation:

the pattern here is dividing by -5, so just continue dividing by -5 starting on -3 and continuing 4 more times. record each number and then add them together using a calculator. you will get -62.5008

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Answer:

72 in^3

Step-by-step explanation:

The volume is found by V=Bh meaning volume = area of the base * height

V = 6 * 12

V = 72

The linear correlation coefficient r is **1.2237445080439002**.

To calculate the linear correlation coefficient r, we can use the following formula:

[tex]r = (\sum(x - \bar x)(y - \bar y)) / \sqrt(\sum(x - \bar x)^2 \sum(y - \bar y)^2)[/tex]

where:

* [tex]\sum[/tex] is the sum of the values

* [tex]\bar x[/tex] is the mean of x

* [tex]\bar y[/tex] is the mean of y

First, we need to calculate the mean of x and y:

[tex]\bar x[/tex] = (4 + 53 + 86 + 162) / 4 = 71.25

[tex]\bar y[/tex] = (-5 - 1 + 13 + 16) / 4 = 5.75

Next, we need to calculate the sum of the squared deviations from the mean for x and y:

[tex]\sum(x - \bar x)^2 = (47.25^2 + 17.25^2 + 14.25^2 + 90.75^2) = 10148.5[/tex]

[tex]\sum(y - \bar y)^2 = (11.25^2 + 6.75^2 + 7.25^2 + 10.25^2) = 317.5[/tex]

Now, we can calculate the linear correlation coefficient r:

[tex]r = (\sum(x - \bar x)(y - \bar y)) / \sqrt(\sum(x - \bar x)^2 \sum(y - \bar y)^2)[/tex]

r = (47.25 * 11.25 + 17.25 * 6.75 + 14.25 * 7.25 + 90.75 * 10.25) / √(10148.5 * 317.5)

r = 1.2237445080439002

Therefore, the linear correlation coefficient r is **1.2237445080439002**.

This value indicates a strong positive correlation between x and y.

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Answer:

60.6

Step-by-step explanation:

The formula for finding the circumference of a circle is C = 2πr

C is circumference, π is pi (we'll just us 3.14 here), and r is radius.

The radius is found by dividing the diameter in half.

19.3/2=9.65

So the equation should look like this:

C = 2(3.14)(9.65)

C = 60.602

C = 60.6

Answer:

2

Step-by-step explanation:

12a+6b

factor out 6

6(2a+b)

Answer:

100 degrees

Step-by-step explanation:

Arc QM = Arc QN = 130°

Arc MN = 360 - Arc QM - Arc QN

= 360 - 2(130)

= 360 - 260

= 100°

Answer:

I assume the answer would be that f(x) = 6(x) increases over the interval x = 3 to x = 4

Step-by-step explanation:6 x 3 is 18 and 6 x 4 is 24, so over the interval x = 3 to x = 4 f(x) would increase.

20

Step-by-step explanation:

200 divided by 10 equals 20

Answer:

I am 99% sure it's [tex]x = 100[/tex]°, here's why (down)

Step-by-step explanation:

The total is 180°. When adding 57° + 23° = 80°. To get [tex]x[/tex], you have to subtract 80° from 180°. The difference is 100°, which is the answer of this problem.

To multiply powers with the same base, like (4^6)(4^-8), add the exponents to get 4^(6-8) = 4^-2. Converting the negative exponents gives us 1/4^2 or 1/16 as the simplified expression.

To rewrite the expression in the form 4n4n, we use the rule that when multiplying two numbers with the same base, we add their exponents. So, (46)(4-8) = 4(6 + (-8)) = 4-2 = 1/42 = 1/16.

When multiplying powers with the same base, you simply add the exponents. In the expression (4^{6})(4^{-8}), we add the exponents 6 and -8. The rules of exponents tell us that 4^{6} \times 4^{-8} = 4^{6-8} = 4^{-2}. Negative exponents indicate the reciprocal of the base raised to the positive of that exponent. Therefore, 4^{-2} = \frac{1}{4^{2}} = \frac{1}{16}. This simplified expression demonstrates how to work with exponents and manage negative exponents effectively.

Answer:

$222.55

Step-by-step explanation:

Answer:

$222.55

Step-by-step explanation:

$324.55-$102.00

Answer:

7.68 s

Step-by-step explanation:

The vertical motion formula is:

[tex] h_{t} = h_{0} + v_{0}t - \frac{gt^{2}}{2} [/tex]

Where:

h(t): is the final height = 0

h(0): is the height of the cliff = 104 foot

v(0): is the initial velocity = 110 ft/s

g: is the gravity = 9.8 m/s² = 32.15 ft/s²

Hence, from the vertical motion formula we can find the time that will take the rocket to hit the ground:

[tex] 0 = 104 + 110*t - \frac{32.15t^{2}}{2} [/tex]

[tex] 0 = 104 + t(110 - 16.08t) [/tex]

We have two solutions:

t₁= -0.84 s

t₂ = 7.68 s

We will take the positive value, thus the time that will take the rocket to hit the ground is 7.68 s.

I hope it helps you!

Answer:

constant or constant polynomial

Some call is the zero polynomial

Step-by-step explanation:

Let x be raised to the 0 power

x^0 = 1

This is constant

3x^0 = 3*1 = 3

This is still constant

Answer:

Constant

Step-by-step explanation:

Degree 0 means the highest power of the variable is 0, which also means there's only one term

(Because the powers have to non-negative integers, and 0 is the smallest)

Ax⁰ is the form of a degree-0 polynomial

x⁰ = 1

Ax⁰ = A

Which is a constant

Answer:

[tex]y = 9[/tex]

Step-by-step explanation:

[tex]28 + 7y = 91 \\ 7y = 91 - 28 \\ 7y = 63 \\ \frac{7y}{7} = \frac{63}{7} \\ y = 9[/tex]

Answer:

Y=9

Step-by-step explanation:

28 + 7y =91

first subtract 28 from both sides

28-28+7y=91-28

7y= 63

then divide both sides by 7

7y/7=63/7

y=9

ANSWER CHECK

to see if the answer is correct substitute the answer you got for the variable

y=9

28 + 7(9)

multiply 7 and 9

7(9)=63

63+28= 91

Answer:

Step-by-step explanation:

The total number of paint used = 8.8pints

If 4/5 of this amount is white paint, then the amount of white pint is expressed as;

[tex]= \frac{4}{5}*8.8\\= \frac{35.2}{5}\\[/tex]

= 7.04

This means the amount of white paint used is 7.04pints.

amount of blue paint used = Total amount of paint - amount of white paint

amount of blue white paint used = 8.8 - 7.04

amount of blue paint used = 1.76pints of paint

Answer:

-62.5008

Step-by-step explanation:

Find the pattern first: -75/15 = -5

Find the first 7 terms: -3/-5, 3/25, -3/125, 3/625

Add: -62.5008

Answer:

  -62.5008

Step-by-step explanation:

The terms form a geometric sequence with first term -75 and common ratio -1/5. The sum of n terms of such a sequence is...

  Sn = a1(1 -r^n)/(1 -r)

For the values of a1, r, and n, this sum is ...

  S7 = -75(1 -(-1/5)^7)/(1 -(-1/5)) = -75(1 +1/78125)/(1 +1/5)

  = -75(13021/15625) = -62 313/625

  = -62.5008

The sum of the first 7 terms of the sequence is -62.5008.

Answer:

C.

D.

E.

Step-by-step explanation:

The two options that yield the same value for 'x' as the equation 'Three-fifths (30 x minus 15) = 72' are '3 (6 x minus 3) = 72' and 'x = 4.5'. The confusion can be eliminated by simply breaking down and solving the initial equation for 'x', and then substituting the calculated value for 'x' into the optional equations.

To discover which options yield the same value as 'Three-fifths (30 x minus 15) = 72', we first need to solve the given equation for 'x'. This can be done as follows:

Substitute x = 4.5 into each option:

Therefore, '3 (6 x minus 3) = 72' and 'x = 4.5' provide the same value for x as the initial equation 'Three-fifths (30 x minus 15) = 72'.

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The value of S₃ is 65/9.

A geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms. S=  a + ar + ar² + ar³+ . . .

a=start term r =common ratio

Given here, the nth term is 5(1/3)ⁿ⁻¹

therefore the sum of the first 3 terms of the geometric series is

S₃ = 5(1/3⁰) +5(1/3)¹+5(1/3)²

   = 1+ 5/3 + 5/9

   = 65/9

Hence the final answer is 65/9

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The number of groups of cheerleaders are 6 groups.

Given that, the number of students in grade 4 is 22 and the number of students in grade 5 is 26.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Here, each cheerleading group will have 8 members.

Let the number of groups be x.

Now, 22+26=48

So, x=48/8

= 6 groups

Therefore, the number of groups of cheerleaders are 6 groups.

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Final answer:

To find the number of cheerleading groups that can be made with 22 fourth-graders and 26 fifth-graders, we add the total number of students and divide by the group size (8). The equation is k = (22 + 26) / 8, which simplifies to k = 6, meaning 6 groups can be formed.

Explanation:

The question is asking how to calculate the total number of cheerleading groups that can be formed from a given number of fourth-grade and fifth-grade students. In this case, there are 22 fourth-grade students and 26 fifth-grade students, making a total of 48 students. Given that each group should have 8 members, the formula to find the number of groups is the total number of students divided by the number of members per group.

The equation to find the number of cheerleading groups (k) is:

k = Total number of students / Number of members per group

Thus, the equation is:

k = (22 + 26) / 8

When simplified, it gives:

k = 48 / 8

Which equals:

k = 6

Therefore, 6 cheerleading groups can be made.

Answer:

27218

Step-by-step explanation:

y= 17000 (1.04) ^12

y=27217.54772

y= 27218

If a town has a population of 17000. The population after 12 years, to the nearest whole number is 27,218.

Using this formula

A=P(1+r/100)^n

Let plug in the formula

A= 17000 (1+.04) ^12

A= 17000 (1.04) ^12

A=17000×1.601032

A=27217.54

A=27218 (Approximately)

Therefore the population after 12 years, to the nearest whole number is 27,218.

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Answer:

1704 inches

Step-by-step explanation:

Take the length of each shelf and multiply by the number of shelves

6* 284 =1704 inches

Answer:

1704 in

Step-by-step explanation:

Answer:

Depends on the angel needed, I'll provide all answers

Step-by-step explanation:

Angel A is 93, because a straight line has an angel total of 180, so in order to find angel A you would just need to subtract

180-87 = 93

Angel B is 87, because angels opposite each other have the same value.

The Angel without a character would be 93 for the same reason :3

Answer:

C. [tex]32.7cm^{2}[/tex]

Step-by-step explanation:

Area = (Perimeter x apothem) / 2

Area = 21.8 x 3 / 2

Area = 65.4 / 2

Area = [tex]32.7cm^{2}[/tex]

C. The area of the regular pentagon, rounded to the nearest tenth is 32.7 cm².

The area of the regular pentagon is calculated as follows;

Area = aP/2

where;

Area = (3 x 21.8)/2

Area = 32.7 cm²

Thus, the area of the regular pentagon, rounded to the nearest tenth is 32.7 cm².

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Answer to Problem 1: 5√3

Answer to Problem 2: 21√5

Answer:

[tex] 6) \: \: \sqrt{3} + 4 \sqrt{3} \: = \: 5\sqrt{3}[/tex]

[tex] 7) \: \: 3\sqrt{5}+ 6\sqrt{45} = 3\sqrt{5}+6\sqrt{9} \! \cdot \! \sqrt{5} [/tex]

[tex] = 3\sqrt{5} + 6\! \cdot \! 3 \! \cdot \! \sqrt{5}=3 \sqrt{5} + 18 \sqrt{5} = 21\sqrt{5} [/tex]

Answer:

Step-by-step explanation:

[tex]Width=\frac{Area}{length}\\\\=\frac{36}{9}\\\\[/tex]

= 4 inches

Answer:

9×W=36 or 36÷9=W

Step-by-step explanation:

to find the area of a figure you multiply L×W in this situation you only have length. soo find what times 9 = 36 or 36÷9 to find Width

Answer:

The nth term can be represented by;

Tn = 5n- 1

Step-by-step explanation:

In this question, we are concerned with finding an expression in terms of n for then the term of the sequence.

Mathematically, the nth term of a sequence Tn can be represented by the formula;

Tn = a + (n-1)d

where a is the first term in the sequence which is 4 , and d is the common difference which is the difference between 2 consecutive terms which is 9-4= 5

our n is n, since we do not know the number of terms we are finding for

Plugging these values, we have;

Tn = 4 + (n-1)5

Tn = 4 + 5n -5

Tn = 5n- 1