In 2018, there were about 32 million teenagers (aged 13–17) in the United States. They each sent an average of 1200 text messages per month. About how many text messages did all of the teenagers in the United States send each month? Express your answer using SCIENTIFIC NOTATION.

Answer:

$350

Step-by-step explanation:

[tex]\frac{250}{y} :\frac{5}{7}[/tex]

y · 5 = 250 · 7

5y = 1750

5y ÷ 5 = 1750 ÷ 5

y = 350

Answer:

$350

Step-by-step explanation:

5 is to 250 as 7 is to 'x'

5/250 = 7/x

cross-multiply:

5x = 1750

x = 350

Answer:

Hello! Your answer would be, D)

Step-by-step explanation:

Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥

Answer:

6

Step-by-step explanation:

[tex](3\sqrt{2}) ^{2} + (3\sqrt{2}) ^{2} = 18 + 18 = 36\\\sqrt{36} = 6[/tex]

The no. of unique card combinations we can create is 59280

What is permutation and combination?

By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented.

There are 52 cards in a deck in which, there are 12 face cards and 40 numbered cards.

So, by using fundamental principle of counting=40x39x38                                                      =59280

Therefore, the no. of unique card combinations we can create is 59280

Learn more about Permutation and combination,

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Answer:

C 50 mi

Step-by-step explanation:

You have to use the Pythagorean theorem:

14²+48²

196 + 2304

2500

Now you make the square root of 2500 and found the result: 50 mi

x = 24

Step-by-step explanation:

First, find the length RT. Note that we can use the definition of sine 60:

sin 60° = (12√3)/RT

Solving for RT,

RT = (12√3)/sin60° , sin 60 = (√3)/2

= 24

Since ∆QRT is a 45°-90°-45° triangle, that means that

x = RT = 24

Answer:

B. 1,130.4 cm³

Step-by-step explanation:

The formula for volume of a cylinder: πr²h (π x radius x radius x height).

(3.14 is the substitute for pi).

According to the word problem, the radius is 6.

And the height is how high a shape is; the height is 10.

Now we have our whole equation.

πr²h (π x radius x radius x height)

π · 6²· 10 (3.14 · 6 · 6 · 10)

π · 6²· 10 (3.14 · 6 · 6 · 10) = 1,130.4

Therefore, 1,130.4 cm³ is the volume of this cylinder.

Answer:

90

Step-by-step explanation:

Answer:

its 75 or A.

Step-by-step explanation:

Answer:

$755

Step-by-step explanation:

You can use the formula c = 60m + 35 for this. c is the cost and m is the number of months. Since a year is 12 months, 60m = 60*12 = 720. Then add the one time fee of $35. 720 + 35 = 755.

Given:

Principal value = 2,00,000

Rate of interest = 20% p.a. compounded quarterly.

To find:

The compound interest and the amount after one year.​

Solution:

Formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

The interest is compounded quarterly. So, the value of n is 4.

Putting [tex]P=200000,\ r=0.2,\ n=4,\ t=1[/tex] in the above formula.

[tex]A=200000\left(1+\dfrac{0.2}{4}\right)^{4(1)}[/tex]

[tex]A=200000\left(1+0.05\right)^{4}[/tex]

[tex]A=200000\left(1.05\right)^{4}[/tex]

[tex]A=200000(1.21550625)[/tex]

[tex]A=243101.25[/tex]

Therefore, the amount after one year is 2,43,101.25.

We know that the compound interest is the difference between amount and principal value. So,

[tex]C.I.=A-P[/tex]

[tex]C.I.=2,43,101.25-2,00,000[/tex]

[tex]C.I.=43,101.25[/tex]

Therefore, the amount is 2,43,101.25 and the compound interest is 43,101.25.

Answer:

V=C∗pi∗r2=C′∗r2

Step-by-step explanation:

V=pi∗r2∗h/3

Since the height is known, we can substitute it with an arbitrary constant:

V=C∗pi∗r2=C′∗r2

Now we have volume in terms of the radius, which are both unknown. Unless we are given information on how any of these variables are related, we cannot solve for the radius in this problem.

Answer:

⅔

Step-by-step explanation:

slope = (-5-3)/(-14+2) = -8/-12= ⅔

Answer:

Step-by-step explanation:

volume = length x width x height

                 ————————————-

                                   3

Answer:

B = 49.1°

C = 93.9°

c = 77.9

Step-by-step explanation:

Given:

a = 47, b = 59, and A = 37°

Required:

B, C, and c

Solution:

✔️To find B, apply the law of sines:

[tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} [/tex]

Plug in the values

[tex] \frac{sin(37)}{47} = \frac{sin(B)}{59} [/tex]

Cross multiply

[tex] 47*sin(B) = sin(37)*59 [/tex]

Divide both sides by 47

[tex] \frac{47*sin(B)}{47} = \frac{sin(37)*59}{47} [/tex]

[tex] sin(B) = 0.7555 [/tex]

[tex] B = sin^{-1}(0.7555) [/tex]

[tex] B = sin^{-1}(0.7555) [/tex]

B = 49.0690779° ≈ 49.1° (nearest tenth)

✔️C = 180° - (A + B) (sum of triangle)

C = 180° - (37° + 49.1°)

C = 93.9°

✔️To find c, apply the law of sines:

[tex] \frac{sin(B)}{b} = \frac{sin(C)}{c} [/tex]

Plug in the values

[tex] \frac{sin(49.1)}{59} = \frac{sin(93.9)}{c} [/tex]

Cross multiply

[tex] c*sin(49.1) = sin(93.9)*59 [/tex]

Divide both sides by sin(49.1)

[tex] c = \frac{sin(93.9)*59}{sin(49.1)} [/tex]

c = 77.8766982

c ≈ 77.9 (nearest tenth)

Answer:It would be 30!

Step-by-step explanation:

You need to line them all up in order and then see the one that sticks out from all of the others. All the other numbers are in the 40s and 50s and this one is 30.

Answer:

24/60 or 0.4

Step-by-step explanation:

3/4×2/5=6/20

4/3×6/20=24/60

24/60

Answer:

doooo dooo daa

Step-by-step explanation:

sorry dude, I'm not in junior high yet. Still a 5th grader! :)

Answer:

stocks, bonds, mutual funds, and collectables

Step-by-step explanation:

Answer:

Step-by-step explanation:

The number of items sold that gives the max profit is found in the vertex of this quadratic, (h, k). Lucky for us we have a formula for k that will give us exactly what we are looking for, and nothing else.

[tex]k=c-\frac{b^2}{4a}[/tex] where a = -.5, b = 50, and c = -300:

[tex]k=-300-\frac{50^2}{4(-.5)}=-300+1250=950[/tex]

The max profit is $950 per week

Answer:

10

I took the quiz ;)

Answer:

10

Step-by-step explanation:

First we need to find A and B

A(-7;-6)

B(1;0)

Answer:

[tex](0 + 3) \times ( {0}^{2} + 5 \times 0) = 3 \times 0 = 0[/tex]

C. at the top of the x-factor

Answer:

not sure but 4 quarts i think

Answer:

4 quarts is greater because it is equal to 16 cups

Question 14

You can check using the distributive and commutative properties that all of these are equivalent to 6x+3.

Question 15

(7+5)p - p = 12p - p = 11p

Question 16

7 + 5(p-p) = 7 + 5(0) = 7

Question 17

No parentheses are needed.

Answer:

24.77

Step-by-step explanation:

The final without coupons is 31.52, but because you use 4.75 in coupons and 2.00 in manufacturer's rebate, it drops down to 24.77.

Hope this helps!

Answer:

10 2/4

Step-by-step explanation:

Answer:

look at the picture i sent

Answer:

[tex]\mathrm{X\:Intercepts}:\:\left(\frac{-8+\sqrt{82}}{2},\:0\right),\:\left(-\frac{8+\sqrt{82}}{2},\:0\right)[/tex]

Step-by-step explanation:

[tex]f\left(x\right)\:=\:2x^2\:+\:16x\:-\:9[/tex]

- Given

[tex]\mathrm{X\:Intercepts}:\:\left(\frac{-8+\sqrt{82}}{2},\:0\right),\:\left(-\frac{8+\sqrt{82}}{2},\:0\right)[/tex]

By definition of zeros of  a function,  the zeros of the quadratic function f(x) = 2x² + 16x – 9 are [tex]x1=-4+\frac{\sqrt{82}}{2}[/tex] and [tex]x2=-4-\frac{\sqrt{82}}{2}[/tex] .

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.

That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.

Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

In a quadratic function that has the form:

f(x)= ax² + bx + c

the zeros or roots are calculated by:

[tex]x1,x2=\frac{-b+-\sqrt{b^{2}-4ab } }{2a}[/tex]

The quadratic function is f(x) = 2x² + 16x – 9

Being:

the zeros or roots are calculated as:

[tex]x1=\frac{-16+\sqrt{16^{2}-4x2x(-9) } }{2x2}[/tex]

[tex]x1=\frac{-16+\sqrt{256 +72 } }{4}[/tex]

[tex]x1=\frac{-16+\sqrt{328} }{4}[/tex]

[tex]x1=\frac{-16+\sqrt{4x82} }{4}[/tex]

[tex]x1=\frac{-16+2\sqrt{82} }{4}[/tex]

[tex]x1=\frac{-16}{4}+\frac{2\sqrt{82}}{4}[/tex]

[tex]x1=-4+\frac{\sqrt{82}}{2}[/tex]

and

[tex]x2=\frac{-16-\sqrt{16^{2}-4x2x(-9) } }{2x2}[/tex]

[tex]x2=\frac{-16-\sqrt{256 +72 } }{4}[/tex]

[tex]x2=\frac{-16-\sqrt{328} }{4}[/tex]

[tex]x2=\frac{-16-\sqrt{4x82} }{4}[/tex]

[tex]x2=\frac{-16-2\sqrt{82} }{4}[/tex]

[tex]x2=\frac{-16}{4}-\frac{2\sqrt{82}}{4}[/tex]

[tex]x2=-4-\frac{\sqrt{82}}{2}[/tex]

Finally, the zeros of the quadratic function f(x) = 2x² + 16x – 9 are [tex]x1=-4+\frac{\sqrt{82}}{2}[/tex] and [tex]x2=-4-\frac{\sqrt{82}}{2}[/tex] .

Learn more about the zeros of a quadratic function:

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