Use this picture to name one pair of ALTERNATE EXTERIOR angles: *

Answer:

2a. aₙ = 12 * -2ⁿ⁻¹; a₈ = -1536

2b. aₙ = 4 * 3ⁿ⁻¹; a₈ = 8748

Step-by-step explanation:

The geometric sequence formula is aₙ = a₁ * rⁿ⁻¹.

2a:

a₈ = 12 * -2⁸⁻¹ {Subtract 1 from 8 to get 7}

a₈ = 12 * -2⁷ {2⁷ is 128. Since the exponent is odd, this will be negative.}

a₈ = 12 * (-128) {Multiply 12 by -128 to get -1536.

a₈ = -1536

2b:

a₈ = 4 * 3⁸⁻¹ {Subtract 1 from 8 to get 7)

a₈ = 4 * 3⁷ {7 is the 3rd number after 4 (a multiple of 4). As a result, this will end in a 7. 3⁷ is 2187.}

a₈ = 4 * 2187 {Multiply 4 by 2187 to get 8748}

a₈ = 8748

Answer:

x = 10

Step-by-step explanation:

Divide both sides by 2.

(2x) / 2 = 20 / 2

x = 10

Answer:

The answer is going to be 10.

Step-by-step explanation:

1) Diving both sides by 2.

[tex]x = \frac{20}{2} [/tex]

2) Simplify 20/2 to 10 because 20 ÷ 2 is 10.

[tex]x = 10[/tex]

Therefor, the answer for x is x = 10.

Answer:

$1,568.00

Step-by-step explanation:

I=700 x 0.28 x 8 =1568

The simple interest accumulated on a principle of $700 at a rate of 0.28% per year for 8 years is $1,568.00

Answer:

17-2x^2=-21

Step-by-step explanation:

17-1x=-21

17-21=x

-4=x/x=-4

Answer:

a

Step-by-step explanation:

you were right.

hope this helps

Answer:

a

Step-by-step explanation:

Answer:

3 3/4 cups of flour

Step-by-step explanation:

Write and solve an equation of ratios, as follows:

  8        2.5 cups

------- = ----------------

  12             c

3 3/4 cups of flour to adjust the receipt as described.

Answer: -0.75

1/8 - 1(7)/8 = -3/4= -0.75

Answer:

[tex]\frac{1}{8} -1\frac{7}{8}[/tex]

[tex]\frac{1}{8} -\frac{15}{8}[/tex]

[tex]\frac{1-15}{8}[/tex]

[tex]-\frac{14}{8}[/tex]

[tex]-\frac{7}{4}[/tex]

[tex]-1\frac{3}{4}[/tex]

Step-by-step explanation:

Answer: 255.988°

Step-by-step explanation:

Use SOH-CAH-TOA (O=opposite, A=adjacent(side), H=hypotenuse)

They gave us the quest to find the adjacent side, so we can cross off SOH. The angle of elevation is 38 and the angle is adjacent to the right angle(side) and they gave us the opposite which is 200. Now we can also cross off the CAH because they didnt give us or ask for the hypotenuse. SO now solving time.

tan(38)=[tex]\frac{200}{x}[/tex], since x is on the bottom we switch.

x=[tex]\frac{200}{tan(38)}[/tex]

x=255.988°

Answer:

i dont know but its b

Step-by-step explanation:

Answer:

659.6 ft

Step-by-step explanation:

x = 140 / tan 23  

x = 329.82(rounded to hundredth)

so total ground distance between the cables = 2x = 2(329.82) = 659.64 feet

Answer:

1st expression=4n

2nd expression=16n²=4n×4n

3rd expression=8n=2×4n

so

GCF=4n

Answer:

g > -1

Step-by-step explanation:

g + 6 > 5

You want g alone on the3 left side.

6 is being added to g, so subtract 6 from both sides of the inequality.

g + 6 - 6 > 5 - 6

g > -1

Given:

The figure of two semicircles with diameters 6 cm and 5 cm.

To find:

The area of the combined figure.

Solution:

It is given that the diameters of the semicircles are 6 cm and 5 cm so their radii are 3 cm and 2.5 cm respectively.

Area of a semicircle is:

[tex]A=\dfrac{1}{2}\pi r^2[/tex]

So, the combined area of two semicircles with radii 3 cm and 2.5 cm is:

[tex]Area=\dfrac{1}{2}\pi (3)^2+\dfrac{1}{2}\pi (2.5)^2[/tex]

[tex]Area=\dfrac{1}{2}\pi (9)+\dfrac{1}{2}\pi (6.25)[/tex]

[tex]Area=14.137167+9.817477[/tex]

[tex]Area=23.954644[/tex]

Round the value to the nearest tenth (one decimal place.

[tex]Area\approx 24.0[/tex]

Therefore, the area of given figure is 24.0 sq. cm.

Answer:

1.5

Step-by-step explanation:

Answer:

Your answer would be 37°

Step-by-step explanation:

Since BC and DE are parallel, certain angles will be the same, such as the missing interior angle of the triangle and ∠DAF, which will also have the same measure as x.

We know that the sum of all of the interior angles of a triangle must equal 180°. So, we add 41 and 102 to get 143. This means that the missing interior angle must be 37°, since 37+143=180.

As mentioned above, because BC and DE are parallel, the missing interior angle has the same measure as ∠DAF, which is a vertical angle to x, and therefore also has the same measure. So, the measure of x is 37°.

Hope this helps you!

Answer:

FV= $3,352.98

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $5,400

Number of periods (n)= 5 years

Interest rate (i)= 10%

To calculate the future value (FV), we need to use the following formula:

FV= PV / (1 + i)^n

FV= 5,400 / (1.1^5)

FV= $3,352.98

Answer:

12 correct answers

Step-by-step explanation:

It is given that :

The probability of a student guessing the correct answer for a five choice multiple choice question is [tex]$\text{P(correct)}=0.2$[/tex]

Number of multiple choice questions = 60

So the number of correct answers that a student are expected to guess correctly on the test is :

[tex]$=60 \times 0.2$[/tex]

= 12

Answer:

1- 24

2- $96

3- $7.75

4- 37

5- 11

6- 54

7- $38

8- 12

9- $46

10- 59

Answer:

The relative number of 8th graders tat want smoothies is 0.18. Because when finding relative frequency you divide the number which was 45 by the final total which was 250.

So the correct answer is 0.18

(This is for another question like this)

Your answer would be D.) 0.05

Answer: It’s 0.05

Step-by-step explanation:

Got it correct

Answer: I took a screen shot of your answer hope this helps

Step-by-step explanation:

pleas make brainly  

Answer:

Those numbers are -18 and -2

Explanation:

(-18)*(-2)=36

-18+(-2)=-18-2=-20

Answer:

x*y=36

x+y=-20

so it would be -18 and -2, :)

Step-by-step explanation:

Step-by-step explanation:

Let a be the total score of Div. A

Let b be the total score of Div. B

given,

[tex] \frac{a}{15} - \frac{b}{20} = 2[/tex]

as equation 1.

and

[tex]b - a = 160 \\ - a + b = 160[/tex]

as equation 2.

Now multiply equation 2 by 1/20 to eliminate b to solve for a.

[tex] ( - a)( \frac{1}{20} ) + (b)( \frac{1}{20} ) = ( \frac{1}{20} )(160) \\ - \frac{a}{20} + \frac{b}{20} = 8[/tex]

take this new equation as equation 3.

now we will use equation 1 + equation 3 to eliminate b to solve for a.

[tex] ( \frac{a}{15} + ( - \frac{a}{20} )) + ( - \frac{b}{20} + \frac{b}{20} ) = 2 + 8 \\ \frac{a}{60} = 10 \\ a = 60 \times 10 \\ = 600[/tex]

Div.A total score = 600

Average Score = Total Score / Number of students.

[tex] \frac{600}{15} \\ = 40[/tex]

9514 1404 393

Answer:

  48

Step-by-step explanation:

Put 16 where x is and do the arithmetic.

  f(16) = 1/3(4 -16)^2 = 1/3(-12)^2 = 1/3(144)

  f(16) = 48

Two parallel lines have same slopes so we need to find the slope of the line which passes through the given points.

Suppose : A = ( - 2 , 7 ) & B = ( 4 , 4 )

Slope = y ( B ) - y ( A ) / x ( B ) - x ( A )

Slope = 4 - 7 / 4 - ( - 2 )

Slope = - 3 / 4 + 2

Slope = - 3 / 6

Slope = - 1 / 2

------------------------------------------------------------

As you know The coefficient of x is the slope of the line in slope-intercept form.

Thus we have to find the option which x has - 1 / 2 as the coefficient .

Look we have that in D so the correct answer is D .

Answer:

[tex]v=400,000 \times (2)^d[/tex]

Step-by-step explanation:

Given that,

The value of a house is 400,000 in 2015 and it doubles every decade.

Let v be the value of the house.

We need to find an equation for v in terms of d (the number of decades since 2015).

It shows that the function is exponential. So,

[tex]v=ab^d[/tex]

Where

a = Initial Value = 400000

b = rate = 2

d = number of decades

v = the current value of the home

So,

[tex]v=400,000 \times (2)^d[/tex]

Answer:

B and D

Step-by-step explanation:

Answer:

AD = 19

Step-by-step explanation:

Here, we want to find the length of AD

To do this, we will use the illustration drawn below in the attachment

Since B is the midpoint of AC, and BC = 8; then AB will also be 8

Mathematically;

AD = AB + BD

AD = 8 + 11

AD = 19

hence (1,7.5) or (5,37.5) points