A scale drawing of a living room is shown below:


What is the area of the actual living room in square feet? Round your answer to the nearest whole number.

17 ft2

41 ft2

495 ft2

103 ft2

Answer: False. One counter example is when x = 10.

When x = 10, we have

7x^2 = 7*10^2 = 7*100 = 700

2^x = 2^100 = 1.27 * 10^30

The result of 2^x is much larger than 700. The result is so large that we must use scientific notation to be able to fit it on the page. We could write out all the digits, but we would need 30 or more digits.

As a visual to see that 2^x will be larger at some point, I recommend graphing y = 7x^2 and y = 2^x together on the same xy grid. See the graph below. The two curves intersect at point A, which is roughly when x = 9.22; anything beyond this x value will have 2^x be larger than 7x^2.

Answer:

Multiply then add them and them that's your answer.

Step-by-step explanation:

Answer:

Ramona can buy 2 bags.

Step-by-step explanation:

7.5 x 3 = 22.5. This is over her budget.

Therefore Ramona can buy 2 bags.

You didn't specify what the question was asking for, I'm guessing that this is it.

Answer:

x = 70

:-))

..... . .. . . . . ... ..

Answer:

40000=10x4000

Step-by-step explanation:

Answer:

4,000

Step-by-step explanation:

Just divide 40,000 by 10 and you get 4,000!

I hope this helps and have a great day!

Answer:

119

Step-by-step explanation:

Answer:

7.35

Step-by-step explanation:

Given the data:

7.78.05.56.76.9 6.19.45.59.37.7 7.66.58.17.16.4

Rearranged data :

5.5, 5.5, 6.1, 6.4, 6.5, 6.7, 6.9, 7.1, 7.6, 7.7, 7.7, 8.0, 8.1, 9.3, 9.4

The 54th percentile :

(54/100) * (n + 1) th term

n = sample size = 15

0.54 * (15 + 1)

0.54 * 16

8.64th term

(8th term + 9th term) / 2

(7.1 + 7.6) / 2

14.7 / 2

= 7.35

Answer:

the 3rd one

Step-by-step explanation:

I had this question on edgunity

Answer:

10/28

Step-by-step explanation:

Answer:

[tex]150[/tex] potatoes

Step-by-step explanation:

Since the assistant can peel [tex]18[/tex] potatoes in [tex]6[/tex] minutes, we know that he can peel [tex]\frac{18}{6}=3[/tex] potatoes in [tex]1[/tex] minute. Therefore, he will be able to peel [tex]3*50=150[/tex] potatoes in [tex]50[/tex] minutes. Hope this helps!

snog used unitary method to find the answer.

ALITER:-

Given,

Potatoes peeled in 6 minutes = 18

Let, potatoes cooked in 50 minutes = k

Here, more the time passes, the more the assistant peels potatoes.

∴ It is a case of direct variation,

where,

x/y = k (constant)

So, 18/6 = k/50 (potatoes peeled/time)

⇒ k = 3 × 50 = 150 (answer).

Answer:

$4.65

Step-by-step explanation:

To figure this out you would divide 144.15 by 31

When you divide it it gives you 4.65 which is how much each student will pay.

one student will have to pay 4.65

you have divided

31/144.15=4.65

Answer:

A lol

Step-by-step explanation:

Answer:

Step-by-step explanation:kytiyfkutfdc

Answer:

<

Step-by-step explanation:

because -4 is greater than -7

Answer:

B

Step-by-step explanation:

We are given that the position of a particle is modeled by the function:

[tex]s(t)=2t^3-24t^2+90t+7[/tex]

And we want to find the times for which the speed of our particle is increasing.

In other words, we want to find the times for which our acceleration is positive (a(t)>0).

So first, we will find our acceleration function. We can differentiate twice.

By taking the derivative of both sides with respect to t, we acquire:

[tex]\displaystyle s^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-24t^2+90t+7\big][/tex]

Differentiate:

[tex]v(t)=6t^2-48t+90[/tex]

This is our velocity function. We can differentiate once more to acquire the acceleration function. Therefore:

[tex]\displaystyle v^\prime(t)=a(t)=\frac{d}{dt}\big[6t^2-48t+90\big][/tex]

Differentiate:

[tex]a(t)=12t-48[/tex]

If our speed is increasing, our acceleration must be positive. So:

[tex]a(t)>0[/tex]

By substitution:

[tex]12t-48>0[/tex]

Now, we can solve for t:

[tex]12t>48\Rightarrow t>4[/tex]

Therefore, the only interval for which the speed of the particle is increasing (i.e. the acceleration is positive) is for all times t>4.

So, our answer is B.

Answer:

251 because yes and yes hope it helps

Answer:

Concept: Functions

Answer:

YX < YW < XW

Step-by-step explanation:

12v +(v+57) + (v+39) = 180

14v + 96 = 180

14v = 84

v = 6

3 angles from smallest to largest: 72° (12v) (XW) , 63° (v+57)(YW) , 45° (YX)

side length: YX < YW < XW

Answer:

y=x+2

Step-by-step explanation:

y=mx+b, m=1, x=-6, y=-4

-4=(1)(-6)+b

-4=-6+b

2=b

y=x+2

Answer:

C

Step-by-step explanation:

Answer:

Erin made 5.5 dozen cookies.

Step-by-step explanation:

Total cookies made by Kim, Mary and Erin = 24 dozen cookies

Let Erin make cookies = x dozens

Mary made cookies = 2x dozens

Kim made cookies = x+2 dozens

Now, we need to find how many cookies did Erin made.

We can write:

[tex]x+2x+x+2=24[/tex]

Solving the equation we get:

[tex]x+2x+x+2=24\\4x+2=24\\4x=24-2\\4x=22\\x=22/4\\x=5.5[/tex]

So, Erin made cookies = x = 5.5 dozens

Mary made cookies = 2x =2(5.5) = 11 dozens

Kim made cookies = x+2 =5.5+2 = 7 dozens

Therefore, Erin made 5.5 dozen cookies.

Answer: 2(x-9)

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer: x = 4

Step-by-step explanation:

3(x+2)=2(x+5)

3x + 6 = 2x + 10

x + 6 = 10

x = 4

Answer:

[tex] \frac{11}{12} > \frac{11}{13} [/tex]

Step-by-step explanation:

Here , the fraction has same numerators but the denominators are different. Whenever any 2 fractions have same numerator but diffeent denominators , the fraction whose denominator is less is greater than the fraction whose denominator is more.

Here 11 is common in both the numerators but when we talk about denominators , 12 < 13 . So,

[tex] \frac{11}{12} > \frac{11}{13} [/tex]

Verification :-

[tex] \frac{11}{12} = 0.9166666667 = 0.91(appx)[/tex]

[tex] \frac{11}{13} = 0.8461538462 = 0.84(appx)[/tex]

Answer:

9 i think but make sure

Step-by-step explanation:

well, a squared+b squared=c squared

       13 squared-4 squared is 9 squared

Answer: 71

Step-by-step explanation: 100x (5\7) = 71.4

Answer:

71.5

Step-by-step explanation:

5/7 of 100=(5×100)÷7=500÷7=71.5

Answer:

Step-by-step explanation:

Para meter of rhombus is equals 40 m

So one side of rhombus is equal to 10 m

Now

Area of rhombus is equals to half into base into altitude

1/2*10*altitude=84

Altitude = 16.8m