Perform the following operation:
h(n) = 4n + 5
g(n) = 3n +4
Find (h - g)(n)

Answer:

AC =3.76

Step-by-step explanation:

sin theta = opposite / hypotenuse

sin 70 = ? / 4

Multiply each side by 4

4 sin 70 = ?

3.758770783 = ?

Rounding to nearest hundredth

3.76 = ?

AC =3.76

Answer:

3.76 units

Step-by-step explanation:

We want to use trigonometry to solve this - specifically, the trigonometric function sine, which is opposite divided by hypotenuse.

Here, the opposite side is AC, which is what we want to find, while the hypotenuse is AB, which is 4. The angle itself is angle ABC, which is 70 degrees. Now, write:

sin(70) = opposite / hypotenuse = AC / 4

Multiply both sides by 4:

AC = 4 * sin(70) ≈ 3.76 units

Answer:

Step-by-step explanation:

−189=4x−3(−4x+15)

−189=16x−45

16x−45=−189

16x−45+45=−189+45

16x=−144

16x /16

= −144 /16

x=−9

Good luck honey !!

Answer:

x=-9

Step-by-step explanation:

-3×-4= 12x -3×15=-45

4x+12x-45=-189

4x+12x=16x

16x-45=-189

16x=-144

x=-9

Answer:

665.73 cm or 6.65 m

Step-by-step explanation:

The first thing is to pass the distance in meters to centimeters, knowing that 1 meter equals 100 centimeters:

3.6m * 100cm / 1m = 360cm

Now we calculate the number of steps:

360 cm / 18 cm = 20 steps

Now each step measures 28 cm, therefore:

20 * 28 = 560 cm

To calculate the length of the ladder, we must apply Pythagoras:

c ^ 2 = a ^ 2 + b ^ 2

a = 360; b = 560

replacing:

c ^ 2 = 360 ^ 2 + 560 ^ 2

c ^ 2 = 443200

c = 665.73

665.73 cm in meters would be 6.65 meters.

Answer: [tex]m=\frac{1}{9}[/tex]

Step-by-step explanation:

[tex]\frac{9}{7}m=\frac{1}{7}[/tex]

Multiply by the reciprocal to isolate m.

[tex](\frac{7}{9} )\frac{9}{7}m=\frac{1}{7}(\frac{7}{9} )[/tex]

[tex]m=\frac{1}{9}[/tex]

Answer:

Beth made 60% of her shots.

Step-by-step explanation:

Given:

Total shots take = 10

Total goal = 6

Find:

Best describer this number.

Computation:

Converting goal numbers into percentage:

⇒ Total goal percentage = [Total goal/Total shots take]100

⇒ Total goal percentage = [6/10]100

⇒ Total goal percentage = 60%

Beth made 60% of her shots.

Answer:

6:10 is the ratio

Step-by-step explanation:

as a fraction it would be 6/10

as a decimal it would be 0.60 or 0.6

and she made 60% of her shots

Answer:

32.94%

Step-by-step explanation:

Hope this helps

Answer: x = 9, y = 5

Step-by-step explanation:

If all of the sides are equal, it is an equilateral triangle. Equilateral triangles are also equiangular. The angles of a triangle add up to 180 degrees, so each angle must equal 60 degrees.

set the equation equal to 60 to solve for x

7x - 3 = 60

add three to both sides

7x = 63

divide both sides by 7

x = 9

find y by setting the equation equal to 60

11y + 5 = 60

subtract 5 from each side

11y = 55

divide both sides by 11

y = 5

Answer:

7*3=21

8-5=3

21+3-24

Step-by-step explanation:

Answer:

Move all terms not containing k to the right side of the equation.

Exact Form:

k = 43/4

Decimal Form: k = 10.75

Mixed Number Form:

k = 10 3/4

Answer:

The answer is 9/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

interest = Amount - principal

A = P(1+r)^t

r = 5.5% = 5.5/100 = 0.055

A = 1663(1+ 0.055)^19

A = 1663 (1.055)^19

A = 4,599.270812203411

Let’s say A = 4,599

interest = 4,599-1663 = 2,936

Answer:

P(A) x P(B) = 35 x 13 = 455

P(A∩B) = 18

=> P(A) x P(B) ≠ P(A∩B).

=> A and B are not independent.

=> Option A (No, because 35(13)≠18) is correct.

Hope this helps!

:)

A and B are not independent because 35(13)≠18), the correct option is A

Independent events and probability can be defined as those occurrences that are not dependent on any specific event.

P(A)=35, P(B)=13, and P(A∩B)=18, are A and B independent.

It is to note here that A and B are the odd number outcome and multiples of 3 respectively. So, P (A ∩ B) = 18

P(D│E) = P (D ∩ E)/ P(B)

P(D│E) = 18/13

Here P(D) = P(D│E) = 18/13, which entails that the occurrence of event E will not be affected by the probability of event D’s occurrence.

Taking A and B as independent events, then P(D│E) = P(D).

Here, A and B are not independent because 35(13)≠18), the correct option is A.

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ2

Answer:

what are you asking the total or what

Answer: The value of x is 479

Step-by-step explanation:

x -14 = 465

   +14     +14

x=  479

Answer:

x=479

Step-by-step explanation:

x-14=465 Move constant to the right-hand side and change its sign

x=465+14 add the numbers

x=479

HOPE THIS HELPS :)

Answer:

475

Step-by-step explanation:

1021-71

950/2

Answer:

7/16 or (if you are looking for a word) likely

Step-by-step explanation:

Answer:

divide both sides by 2

Step-by-step explanation:

divide both sides by 2 then simplify and get x = 9 over 32

Answer:

Transposing square to rhs,it becomes root

Step-by-step explanation:

[tex]x^{2} =9/16[/tex]

[tex]x=[/tex][tex]\sqrt{9}/\sqrt{16\\[/tex] (transposing square to rhs,it becomes root)

[tex]x= 3/4[/tex]

Hope it helps...Pls mark as Brainliest!!!

Answer: 8.54701% difference

Step-by-step explanation: (61-56)/[(61+56)/2] x 100= 8.55%

Answer:

-15

Step-by-step explanation:

3(2 - 7)​

PEMDAS says parentheses first

Subtract

3 (-5)

Multiply

-15

Answer:

D; D

Step-by-step explanation:

The common difference of the first sequence is 10, so the coefficient is 10. The first term minus the common difference is -8, so that is the constant

The common difference of the second sequence is 3, so the coefficient is 3. The first term minus the common difference is -9, so that is the constant.

Answer:

5/6

Step-by-step explanation:

Answer:

65%

Step-by-step explanation:

You have to do 13 divided by 20 and get 0.65 and then multiply by 100

and get 65

Answer: 101

Step-by-step explanation:

45 women total

17 women will not watch the game

So 33 people did not want to watch the game and 17 are women

33-17 = 16 men who won’t watch the game

So 40 men who will and 16 men who won’t equals 56 men and 45 women

56+45= 101

Answer:

EASY-ACCESS CREDIT:

1. title loan with collateral

2. two-week payday loan

OPEN-END CREDIT:

1. Credit card

2. $2000 monthly line of credit

CLOSE-END CREDIT:

1. home loan

2. car loan

The division of category on the basis of type of credit would be as follows:

Easy-Access Credit

1. Title loan with collateral

2. Two-week payday loan

OPEN-END CREDIT:

1. Credit card

2. $2000 monthly line of credit

CLOSE-END CREDIT:

1. Home loan

2. Car loan

Credit is described as the amount that has been added to a specific account.

Easy-access credit is defined as the credit that is granted for an extremely short period of time and for such loans, the interests are extremely high.

While the open credit keeps the amount lent on repeat which is set at a particular limit(maximum).

Close-end credit in which the amount remains specified initially while it is being lent.

Learn more about "Credit" here:

brainly.com/question/1995705

Answer:

The correct answer is 11 ft.

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. This means that the portion marked x+4 is the same length as the portion marked 2x-7; this gives us the equation x+4=2x-7.

Subtract x from each side:

x+4-x=2x-7-x

4=x-7.

Add 7 to both sides:

4+7=x-7+7

11=x

Answer:

11

Step-by-step explanation:

On edge

Answer:F

Step-by-step explanation:

Answer:

i honestly think that its A, C, D, F.

Step-by-step explanation:

for the A i think that you need to write down the facts so you dont forget and you remember when someone asks you a question.

For C you should gather your resources so you can do the experiment again if your not satisfied with the first result.

For D you should draw a diagram so you can keep track of your information that you used to get the final solution.

For F, you should always make sure that you didn't mess up and that you can redo it to double check.

Answer:

84.1% of all values in a normal distribution have z ≤ 1.00.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

The percent of all values in a normal distribution for which z ≤ 1.00.

This is the pvalue of Z = 1.

Z = 1 has a pvalue of 0.8413.

Converting to percentage, to the nearest tenth.

84.1% of all values in a normal distribution have z ≤ 1.00.

Answer:it took him 8 minutes on the return trip, for a round-trip time of 32 minutes. his average speed was (8mi/32min) (60min/hr)=15 mph for the whole trip

Step-by-step explanation: