Let g(x) = cos(x/2) - 3x. Let f(x) = 2x + 5. What is g(f(x))?

Answer:

=22n+13

Let's simplify step-by-step:

21n+15+n−2

=21n+15+n+−2

Combine Like Terms:

=21n+15+n+−2

=(21n+n)+(15+−2)

=22n+13

Answer:

=22n+13

Answer:

12.1 years

Step-by-step explanation:

We are given that

Principal amount, P=$3000

Rate of interest, r=6.75%  semi-annually

Amount, A=$6700

We know that

When r pays semi-annually

[tex]A=P(1+\frac{r}{n\times 100})^{nt}[/tex]

Where n=2

Using the formula

[tex]6700=3000(1+\frac{6.75}{200})^{2t}[/tex]

[tex]\frac{6700}{3000}=(1..03375)^{2t}[/tex]

[tex]2.233=(1.03375)^{2t}[/tex]

Taking ln on both sides we get

[tex]ln(2.233)=2t ln(1.03375)[/tex]

[tex]2t=\frac{ln(2.233)}{ln(1.03375)}[/tex]

[tex]t=\frac{1}{2}\times \frac{ln(2.233)}{ln(1.03375)}[/tex]

[tex]t=12.1 years[/tex]

Answer:

Step-by-step explanation:

Distribute the 4 into the parentheses.

[tex]-2m-8+12m-36[/tex]

Combine like terms

[tex]10m-44[/tex]

Answer:

10m - 44

Step-by-step explanation:

I hope this helps!

Answer:

It's asking what numbers (or integers) will equal to the number given. so it could be any four numbers that will give you 2174 exactly

Step-by-step explanation:

If this doesn't simplify it enough, let me know

Answer:

Here's your answer.......

.......

Answer:

412 is not divisible by 3

Answer:

Is 412 divisible by 3?

No

1235453340 is divisible by 2, 4 and 10

Yes

Step-by-step explanation:

Answer:

80.48m2

Step-by-step explanation:

I think this is right but it may be wrong.

Answer/Step-by-step explanation:

✔️A = 180° - (50° + 90°) (sum of triangle)

A = 40°

✔️Find a:

Reference angle = 50°

Opposite = 17

Adjacent = a

Therefore, using trigonometric ratio, we have the following:

Tan 50 = 17/a

a = 17/tan 50

a = 14.3 (nearest tenth)

✔️Find c using Pythagorean Theorem:

c² = a² + b²

c² = 14.3² + 17²

c = √493.49

c = 22.2 (nearest tenth)

Answer:

John is 1 decade, 2 years, and 4 months old

Step-by-step explanation:

Since we knot that John is half as old we just have to divide Derons age by two, and we will do that by dividing the number of decades, a number of years, and a number of months by two, and so we get that John is...

(2/2) decades, (4/2) years, and (8/2) months old =

= 1 decades, 2 years, and 4 months old

John is 1 decades, 2 years, and 4 months years old.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

There are 10 years in 1 decade.

And, Deron is 2 decades, 4 years, and 8 months old.

Since, His brother John is half as old.

Hence, Age of John is,

⇒ (2 decades, 4 years, and 8 months) / 2

⇒ 1 decades, 2 years, and 4 months

Thus, John is 1 decades, 2 years, and 4 months years old.

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Answer:

Tree is [tex]43.84[/tex] feet tall

Step-by-step explanation:

Shadow casted by tree [tex]= 15[/tex] feet

Angle of elevation of sun [tex]= 70[/tex] degrees

Tangent of angle of elevation is equal to the ration of height of tree and its shadow

tan [tex]70 = \frac{t}{16}[/tex]

Height of the tree is equal to [tex]16 *[/tex] tan [tex]70[/tex]

Height of the tree [tex]= 16 * 2.74 = 43.84[/tex] feet

Answer:

the pink triangle is the answer, just know that each 90° will be the next quadrant.

Answer:

-no solution-

Step-by-step explanation:

Let's solve your system by elimination.

−6x+2y=−14;−9x+3y=−21

Multiply the first equation by 3,and multiply the second equation by -2.

3(−6x+2y=−14)

−2(−9x+3y=−21)

Becomes:

−18x+6y=−42

18x−6y=42

Add these equations to eliminate y:

0=0

Answer:

Infinitely many solutions.

Let's solve your system by substitution.

−6x+2y=−14;−9x+3y=−21

Step: Solve−6x+2y=−14for x:

−6x+2y=−14

−6x+2y+−2y=−14+−2y(Add -2y to both sides)

−6x=−2y−14

−6x

−6

=

−2y−14

−6

(Divide both sides by -6)

x=

1

3

y+

7

3

Step: Substitute

1

3

y+

7

3

forxin−9x+3y=−21:

−9x+3y=−21

−9(

1

3

y+

7

3

)+3y=−21

−21=−21(Simplify both sides of the equation)

−21+21=−21+21(Add 21 to both sides)

0=0

Answer:

Infinitely many solutions.

If you divide first equation by two and the second by three they are both the same line so there are infinitely many solutions.

Answer: $122.50

Step-by-step explanation:

We know the difference between the time the employee clocked in and clocked out = 1200 - 0800 = 4 hours

The next clock in and out = 17:30 - 12:45 = 4 hours, 45 minutes.

These times combined = 8 hours, 45 minutes

[tex]\frac{45}{60}[/tex] minutes in an hour = [tex]\frac{3}{4}[/tex] of an hour.

The total time worked was 8 [tex]\frac{3}{4}[/tex] hours.

Multiply 8.75 × $14 = $122.50

I am not a professional, simply using prior knowledge.

Note- it would mean the world to me if you could mark me brainliest!

Answer:

E. Acute

Step-by-step explanation:

Hope it helps

Answer:

81

Step-by-step explanation:

25 and 27 are not perfect squares so they can not be the answer.

36 and 81 are both multiples of 3, but only 81 is not even, so the answer is 81

Answer:

I am sure that it is  $7220.60

Step-by-step explanation:

If you invested in 5000 you would have that much in your account to withdraw

hope this works for you

Answer:

d

Step-by-step explanation:

Answer: Each person will get 3 candy bars

Step-by-step explanation:

The equation would be 26/7. Then, 7 goes into 26 three times with a remainder of 5.

[tex]3\frac{5}{7}[/tex]

Answer:

The equation would be 26/7. Then, 7 goes into 26 three times with a remainder of 5.

Step-by-step explanation:

The equation would be 26/7. Then, 7 goes into 26 three times with a remainder of 5.

Answer:

8/24 (eight hours at school out of 24 hours of the day)

0.33 (divide 8 by 24)

33.33% (move the decimal to the right twice.)

I hope that makes sense. If you need more explanation please just comment on this and i will edit it to add what you need. Or i will just comment back. It depends.

The portion of the weekday spent at school as a fraction, a decimal and a percent can be represented as 1/3 or 0.333 or 33.3% respectively.

Fractions are type of numbers which are written in the form p/q, which implies that p parts in a whole of q.

Here p, called the numerator and q, called the denominator, are real numbers.

Given that,

You spend 8 hours each weekday at school.

Total hours in a day = 24 hours

Fraction of the hours spent = 8/24 = 1/3

Decimal of the hours spent = 0.333

Percent of the hours spent = 0.333 × 100 = 33.3%

Hence the portion of a weekday spent at school is 1/3.

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Answer:

[tex]Profit = SP - CP[/tex]

Step-by-step explanation:

Given

[tex]S.P = Selling\ Price[/tex]

[tex]C.P = Cost\ Price[/tex]

Required

Represent the profit, mathematically

The profit is the difference between SP and CP.

This is represented as:

[tex]Profit = SP - CP[/tex]

Answer:

Step-by-step explanation:

There are 6 friends total and for them to make $45 each, you would need to multiply 6 to 45.  The only way you could do this is if you have a fraction supporting the variable.

1/6x = 45

~Multiply 6 to both sides

x = 270

Best of Luck!

Answer:

[tex]\huge\boxed{\$ 270}[/tex]

Step-by-step explanation:

We can break this problem down to understand it.

Chad and his friend make an unknown amount of money while selling t-shirts. We'll assign this to a variable, [tex]x[/tex].

After splitting it amongst him and his 5 friends, he wants everyone to have $45.

Therefore, we can multiply the profit per person by the number of people to find how much money has to be made in total.

Chad + 5 people = 6 people

We can write an equation for this problem.

[tex]\displaystyle \frac{1}{6}x=45[/tex]

To solve this, we multiply both sides by 6 to cancel out the [tex]\frac{1}{6}[/tex] (as [tex]\frac{1}{6} \cdot 6 = 1[/tex]).

[tex]45 \cdot 6 = 270[/tex]

Hope this helped!

Answer:

13

Step-by-step explanation:

By angle bisector property:

[tex] \frac{28}{49} = \frac{12}{2x + 7 - 12} \\ \\ \frac{4}{7} = \frac{12}{2x - 5} \\ \\ 4(2x - 5) = 12 \times 7 \\ \\ 8x - 20 = 84 \\ \\ 8x = 84 + 20 \\ \\ 8x = 104 \\ \\ x = \frac{104}{8} \\ \\ x = 13[/tex]

Answer:

680 girls and 850 boys

Step-by-step explanation:

the ratio of girls is 4/9

then we can find the number of girls (G) in the group of 1530 students using proportions:

4 / 9 = G / 1530

solving for G by multiplying both sides of the proportion by 1530, we get:

G = 4 * 1530 / 9 = 680

So there were:

680 girls and 1530 - 680 = 850 boys

Answer:

the answer will be

girls 680

boys 850

Answer:

(b) 47.10 inch.

Step-by-step explanation:

C = 2πr

C ≈ 2 × 3.14 × 7.5 = 47.1 inches  

Answer:

there is a 60% chance they pick a blue pencil

Answer:

-4 mph/sec

Step-by-step explanation:

Answer: -4 mph/s

Step-by-step explanation:

Remember the formula:

FinalVelocity = InitialVelocity + (acceleration)(time)

50 = 30 + (a)(5)

a = (30 - 50)/5

a = -4 mph/s

Answer:

the question is cutoff. please rewrite the question. please write exponents as 6x^2.

Answer:

2 hours to meet each other

Step-by-step explanation:

Answer:

1.5

Step by step explanation: