fill in the blanks on the Trapezoid ​

Answer:

a₇ = 192

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence.

r = 6 ÷ 3 = 12 ÷ 6 = 2

This indicates the sequence is geometric with n th term

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 3 and r = 2 , thus

a₇ = 3 × [tex]2^{6}[/tex] = 3 × 64 = 192

Answer:

480

Step-by-step explanation:

270/4.5=60

60 x 8 = 480

Answer:

480 miles

Step-by-step explanation: First Divide 270 by 4.5 to get 60 mph then multiply 60 time 8 then you will get 480

Answer:

$359.13

Step-by-step explanation:

To find the total cost of her room we have to add the cost of the tax to the cost of the room.

To find the value of the tax, multiply the value of the room(325) by 10.5%:

Convert 10.5% to decimal form: 0.105

0.105 * 325 = 34.125

34.125 rounds up to 34.13.

Now, add the cost of the tax to the room's cost:

34.13 + 325 = 359.13

The total cost of the hotel room is $359.13.

The cost of a hotel room during Lacy’s trip is $325 and the hotel room tax in the city she is in is 10.5%, so the total cost of the hotel room will be $ 359.13.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that the cost of a hotel room during Lacy’s trip is $325. The hotel room tax in the city she is in is 10.5%.

The total cost of the hotel room is,

Total cost = hotel room tax + cost  of a hotel room

Total cost = 10.5% of $325 + $325

Total cost = $ 34.12 + $325

Total cost =  $ 359.13

Thus, the cost of a hotel room during Lacy’s trip is $325, and the hotel room tax in the city she is in is 10.5%, so the total cost of the hotel room will be $ 359.13.

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Answer:

x>3

Step-by-step explanation:

subtract x from both sides

simplify 4x-x to 3x

9>3x

divide both sides by 3

9/3 <x

simplify 9/3

3<x

x>3

Answer:

(0,1)

Step-by-step explanation:

It that graph cross the y-axis, x haves to be 0. If you pass a wall (y), you have to be alingned to go throught (x=0). Then you replace:

[tex]y = 9^{x}[/tex]

[tex]y = 9^{0}[/tex]

[tex]y = 1[/tex]

x=0 ; y=1

Answer: C) 5/n+3

Step-by-step explanation:

Answer:

HFHBEHFBHEHHEHHHHH

Step-by-step explanation:

Answer:

[tex]m=2[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, 8)

Point (-6, -8)

Step 2: Find slope m

Answer:

12 hours

Step-by-step explanation:

Answer:

12 hours

Step-by-step explanation:

Answer:

88%

Step-by-step explanation:

No Johnny boy did not

Answer:

Step-by-step explanation:

A number that goies in and later comes out as an 'output' the output is the result

Answer: 3 apples left

65 devided by 5 13

13-10

Step-by-step explanation:

Answer:

3 apples

Step-by-step explanation:

the equation 2x-4-1+x would be the answer

Because 2x+x = 3x and -4-1 = 5, the result would be 3x-5

Answer:

2x-4-1+x

Step-by-step explanation:

Just answerd the quistion

Answer:

The general form of an exponential function is

             .... (1)

Where, a is initial value and b is growth or decay factor.

If b>1, then it is an increasing function and if 0<b<1, then it is a decreasing function.

The given function is

          .... (2)

From (1) and (2) it is clear that

The value of a is 6. It means the initial value or y-intercept of the function is 6.

The value of b is 0.4, which is less than 1. It means the function is a decreasing function.

Let x be the following values: 1, 2, 3, 4 , 5.

Let f(x) = y.

I will do one only.

Let x = 1

y = 6•(0.4)^(1)

y = 6•(0.4)

y = 2.4

Your first point is (1, 2.4).

Do the rest in like manner. Then graph each point on the xy-plane and lastly connect each point with a smooth curve.

Got it?

Answer:

You did not include enough information.  What part of the circle is 5.5 yards?  The diameter?  radius?  

Step-by-step explanation:

if 5.5 is radius then the formula is 2 x pi x 5.5  

if 5.5 is diameter then the formula is pi x 5.5

Answer:

C = 306 +1.3x

Step-by-step explanation:

In 1950 the average atmospheric concentration of carbon dioxide was 306 parts per million with an estimated increase of 1.3 parts per million every single year. Therefore we can use these numbers to create the following mathematical model.

C = 306 +1.3x

This model multiplies the number of years after 1950 (x) by the estimated carbon dioxide increase per year in parts per million, and finally adds the initial atmospheric concentration of carbon dioxide from 1950 to calculate the current atmospheric concentration of carbon dioxide

Given:

The given equation is

[tex]60=5(1.07)^x[/tex]

To find:

The initial value and growth/decay factor.

Solution:

The general exponential growth/decay model is

[tex]y=a(1+r)^x[/tex]     ...(i)

where, a is initial value, if r>0, then |r| is growth factor, if r<0, then |r| is decay factor and x is time.

We have,

[tex]60=5(1.07)^x[/tex]

It can be written as

[tex]60=5(1+0.07)^x[/tex]        ...(ii)

On comparing (i) and (ii), we get

[tex]a=5\text{ and }r=0.07[/tex]

Here, initial value is 5 and growth factor is 0.07, i.e., 7%.

Therefore, the correct option for first question is d and correct option for second question is a.

Answer:

see image

Step-by-step explanation:

Plato/Edmentum

Answer:

1115322

Step-by-step explanation:

In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8.

Claimed statement is he worst is yet to come, with an earthquake 142,990 times  as intense as the 1906 earthquake ready to hit San Francisco.

We need to find the magnitude of their  claimed earthquake.

It can be calculated by simply multiplying 142,990 by 7.8 as follows :

[tex]E=142990 \times 7.8\\\\=1115322[/tex]

The magnitude of claimed earthquake is 1115322 .

Using the earthquake intensity relation on the Ritcher scale, the magnitude of the claimed earthquake would be 13.0

Uisng the relation :

Substituting the values into the equation :

[tex] M_{a} - 7.8 = log(142990) [/tex]

[tex] M_{a} - 7.8 = 5.1553056 [/tex]

[tex] M_{a}= 5.1553056 + 7.8 [/tex]

[tex] M_{a} = 12.955 [/tex]

Therefore, the magnitude of the claimed earthquake would be 13.0

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Answer:

3(x+6) =2

3x+18 =2

3x=2-18

3x=16

x=16/3

x=5.33333333

Answer:

Step-by-step explanation:

∠1+∠2=180°

3x+x+36=180

4x=180-36=144

x=144/4=36°

∠1=3x=3×36=108°

∠2=x+36=36+36=72°

The measures of the angles are m∠1 = 108° and m∠2 = 72°.

Given,

m∠1 = 3x°

m∠2 = (x + 36)°

We need to find the measure of these angles.

The straight line angle is 180 degrees.

If the angle is split the sum must be equal to 180 degrees.

We have,

m∠1 = 3x°

m∠2 = (x + 36)°

The figure is at a straight-line angle.

So we have,

m∠1  + m∠2 = 180°

3x° +  (x + 36)° = 180

3x + x + 36 = 180

4x + 36 = 180

4x = 180 - 36

4x = 144

x = 144/4
x = 36

Now,

- m∠1

= 3x

= 3 x 36

= 108

- m∠2

= x + 36

= 36 + 36

= 72

Thus the measures of the angles are m∠1 = 108° and m∠2 = 72°.

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Answer:

The answer is D

Step-by-step explanation:

Answer:

RHS, RHA, RTS, RTA, BHS

Step-by-step explanation:

Answer:

Slope=− 1.083/1.083 =−0.542

x−intercept= 144/13 =11.07692

y−intercept= 144/24 =6.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Intercepts of a Line

The x-intercept of a given line is the point where the line crosses the x-axis and the y-intercept of a given line is the point where the line crosses the y-axis.

We are given the following line:

-12x + 18y = 108

To find the x-intercept, we set y=0 and solve for x:

-12x + 18*0 = 108

-12x = 108

x = 108 / (-12) = -9

The x-intercept is the point (-9,0)

To find the y-intercept, we set x=0 and solve for y:

-12*0 + 18y = 108

18y = 108

y = 108 / 18 = 6

The y-intercept is the point (0,6)

Answer:

4600 Miles Per Hour (MPH)

Step-by-step explanation:

50600/11=4600

64400/14=4600

101200/22=4600

110400/24=4600

Answer:

17

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

plz mark brainliest :)

Answer:

try the last one

Step-by-step explanation: