h(n)=-91*(-1/7)^n-1 Complete the recursive formula of h(n).

h(1)= ?

h(n)=h(n-1)* ?

Answer:

4y - 7

Step-by-step explanation:

Like terms are terms that have the same variable part. Variable part means the part of a term that is one or more variables and the exponents of the variables.

For example, in 2x^2 + 4xy + 5x^2 + 2y + 5 - 3y, the terms 2x^2 and 5x^2 have x^2 as their variable part. They are like terms. Likewise, 2y and -3y have y as their variable part. They are like terms. 2x^2 and 5x^2 can be combined into 7x^2. 2y and -3y can be combined into -y. The terms 4xy and 5 are not like terms and cannot be combined. By combining like terms in 2x^2 + 4xy + 5x^2 + 2y + 5 - 3y, you end up with 7x^2 + 4xy - y + 5.

Now we deal with your problem.

-4y - 4 + (-3)

The term -4y has a y as a variable. There is no other term with a y in it, so the term -4y cannot be combined.

The terms -4 and -3 have no variables. These two terms are like terms and can be combined.

-4y - 4 + (-3) =

-4y - 7

The probability for the sum of two dice to be 9 is 1/9, and the probability for rolling doubles is 1/6. These two events are mutually exclusive; hence their combined probability is the sum of the individual probabilities, which is 5/18.

The probability that the sum of two rolled dice is 9 can be calculated by identifying all possible combinations that result in a sum of 9. There are four such combinations: (3,6), (4,5), (5,4), (6,3). The probability of any one specific outcome when rolling two dice is 1/36, thus the probability of the sum being 9 is 4/36 or simplified, 1/9.

To find the probability of rolling doubles, we identify all the combinations where both dice show the same number. There are six possibilities: (1,1), (2,2), (3,3), (4,4), (5,5), (6,6), so the probability of rolling doubles is 6/36 or simplified, 1/6. These two events are mutually exclusive; thus, the total probability is found by adding the two probabilities: 1/9 + 1/6 = 2/18 + 3/18 = 5/18.

To find the number of gallons of a 15% sugar solution needed to mix with a 40% sugar solution to make a 30% sugar solution, set up an equation.

In order to solve this problem, we can set up an equation based on the given information.

Let's say we need to mix 'x' gallons of the 15% sugar solution with the 5 gallons of the 40% sugar solution to get a 30% sugar solution.

The equation would be: 0.15x + 0.40(5) = 0.30(x + 5).

Solving this equation will give us the value of 'x', which represents the gallons of the 15% sugar solution needed.

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Answer:

7 minutes

Step-by-step explanation:

If Whitney walks 1 mile at a rate of 1 mile every 7 minutes, then it would take her 7 minutes to walk home from school.

Answer:

A. 20

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

Plug in the numbers

[tex]15^{2} + b^{2} = 25^{2}[/tex]

Simplify the equation

225 + b = 625

Subtract both sides by 225

625 - 225 = 400

Your equation should look like

b = 400

Because you squared it, now you have to get it back to the formula you started with first. To do this, just find the square root.

The square root of 400 is 20

[tex]15^{2}+ 20^{2} =25^{2}[/tex]

Answer:

i) $2.60 is money he saves each week

ii( iii)  $5.20 to spend on comics and sweets.

You need more info to determine how he spends his money thereafter.

Lets say x = sweets and y = comics.

and lets say he spends under 1/3 on sweets

2(1 1/5x + 1 1/2y) = xy

2 2/5x + 3y = xy

xy = 5 2/5

Step-by-step explanation:

i) 7.80 /3 = 2.60  = $2.60

ii) 7.80-2.6 = 5.20 = $5.20

iii) algebra example or refer to question for more info not shown.

Paul saves a portion of his pocket money which is £2.60  and spends the rest on comics and sweets.

(i) How much does he save?
Paul saves £2.60 each week, which is 1/3 of his pocket money.
(ii) How much is spent on comics?
Paul spends £2.60 on comics, as it is the remaining amount after saving.
(iii) How much does he spend on sweets?
Paul spends the rest of his pocket money, £2.60, on sweets.

Debbie can make 12 bows from 2 yards of ribbon, as shown by the division equation (2 ÷ 1/6 = 12) and confirmed by the multiplication equation (12 × 1/6 = 2).

The student is asking about division and multiplication of fractions in the context of making bows from a length of ribbon. To determine how many bows Debbie can make with 2 yards of ribbon, when each bow requires 1/6 yard, we formulate a division equation and a multiplication equation.

The division equation is:

Number of bows = Total yards of ribbon ÷ Yards of ribbon per bow

Number of bows = 2 yards ÷ 1/6 yard

The multiplication equation is the inverse of the division equation, which helps us to check our work:

X bows × 1/6 yard per bow = 2 yards (X represents the number of bows)

By solving the division equation:

Number of bows = 2 yards × (6/1 bows)

Number of bows = 12 bows

So, Debbie can make 12 bows from 2 yards of ribbon. The multiplication equation confirms this since 12 bows × 1/6 yard equals 2 yards.

Answer:2 inches

Step-by-step explanation:

8*11=88

176/88=2

Check answer: 2*8*11

Answer:

A) 2 inches

I took the test, picture for proof

Step-by-step explanation:

Answer:

the answer is 393

Step-by-step explanation:

hope we can be friends

can i please get brainliest

Answer:

Volume Area 1 - Long Rectangle = 8 x 4 x 2 =64

Volume smaller Rectange = 2 x 2 x 3 = 12

Total Volume = 64 + 12 = 76 cubic inches

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

Final answer:

To solve for angle B in triangle ABC, you can use the Law of Cosines. Rearrange the equation to isolate the cosine of angle B and then take the inverse cosine to find the value of angle B. The value of angle B is approximately 99.99 degrees.

Explanation:

To solve for angle B in triangle ABC, you can use the Law of Cosines. The Law of Cosines states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

In this case, you are given the lengths of sides AB, BC, and AC as 4.1 cm, 2.7 cm, and 4.5 cm respectively. You are also given the equation 4.1 = 4.5 + 2.7 - 24.3cos B. To solve for angle B, you can rearrange the equation to isolate the cosine of angle B and then take the inverse cosine to find the value of angle B.

Let's go step-by-step:

Start with the equation 4.1 = 4.5 + 2.7 - 24.3cos B

Subtract 4.5 and 2.7 from both sides: 4.1 - 4.5 - 2.7 = -3.1 - 24.3cos B

Combine like terms: -3.1 - 24.3cos B = -7.1

Add 7.1 to both sides: -3.1 - 24.3cos B + 7.1 = -7.1 + 7.1

Simplify: -3.1 + 7.1 - 24.3cos B = 0

Subtract -3.1 + 7.1 from both sides: -3.1 + 7.1 - 3.1 + 7.1 - 24.3cos B = -3.1 + 7.1

Simplify: -24.3cos B = 4.0

Divide both sides by -24.3 to isolate cos B: (-24.3cos B) / -24.3 = 4.0 / -24.3

Simplify: cos B = -0.1645

Take the inverse cosine of -0.1645 to find the value of angle B: B = cos-1(-0.1645)

Using a calculator, you can find that angle B is approximately 99.99 degrees.

To find the radius of the sphere formed by melting five metal cubes with 7 cm sides, calculate the combined volume of the cubes and equate it to the volume of the sphere; then solve for the radius, which is approximately 7.24 cm.

To find the radius of the sphere formed by melting five metal cubes, we need to equate the total volume of the cubes to the volume of the sphere. The volume of a cube with a side length of 7 cm is found by the formula V = s³, where s is the side length of the cube. For one cube, this is V = 7 cm x 7 cm x 7 cm = 343 cm³. Since there are five cubes, the total volume is 5 x 343 cm³ = 1715 cm³.

The volume of a sphere is given by the formula V = 4/3 * π * r³, where r is the radius of the sphere. We must solve for r when the volume is 1715 cm³. Setting the volumes equal gives 4/3 * π * r³ = 1715 cm³. Solving for r yields:

r³ = (1715 cm³) / (4/3 * π)

r = (1715 cm³) / (4.14159)^√(1/3)

r ≈ 7.24 cm

Therefore, the radius of the sphere is approximately 7.24 cm.

The solution to the algebraic expression using the product rule is 24a squared minus 18ab

The calculation of algebraic expression using the product rule implies that we multiplied similar variables together.

Given that:

3a (8a minus 6b)

= 3a(8a - 6b)

We cannot subtract the expression in the brackets because they are not of the same variable.

So, by opening the brackets, we have:

=24a² - 18ab

= 24a squared minus 18ab

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Answer:

x = 2   or  x = 4

Step-by-step explanation:

Solve:   2 log x = log 2 + log(3x - 4)

log (x^2) =  log 2 + log (3x - 4)

log (x^2) = log [2*(3x - 4)]

x^2 =  2*(3x - 4)

x^2 = 6x - 8

x^2 - 6x + 8 = 0

factor:

(x - 2 )(x - 4) = 0

x = 2   or  x = 4

Answer:

D. q minus 22 = 24: Add 22 to both sides. The answer is 46.

Step-by-step explanation:

From the list of options, one would notice that the number is represented with letter q.

So, we'll analyse the question base on the assumption that the number is represented with letter q.

The statement "Twenty-two less than a number is twenty-four".

First, this statement can be splitted into two.

"Twenty-two less than a number" and "is twenty-four."

Taking them one after the other.

"Twenty-two less than a number" as it is means; q - 22

Then we have "is twenty-four."

is represents =

twenty-four = 24

This gives "= 24"

Bringing the two expressions together;

q - 22 = 24

To get the value of q; simply add 22 to both sides

q - 22 + 22 = 24 + 22

q = 46

Hence, option D is correct.

Answer:

ITS D

Step-by-step explanation:

Answer:

57.453 ft

Step-by-step explanation:

Glad to help ! :)

Answer:

the answer is 57.5

​

Answer:

B. No, because the sample was not random.

Step-by-step explanation:

The survey asks to find the favourite sport of the school's students. Not just the school's seventh graders. The seventh graders do not make up a random sample of the student body, and therefore the results of this survey are invalid.

Let's look at the answers:

A - No. We've already discussed why sampling just the seventh graders is wrong.

B - Yes. The entire seventh grade is not a random sample of the entire school and do not yield a valid response.

C - No. The school surveyed every seventh grader, not every seventh student. This is a play on words.

D - No. Every student in the seventh grade was sampled, not just girls.

Answer:

A company wants to select 3 new employees.

We have 8 candidates, 6 males, and 2 females.

1) What is the number of combinations in which the new employees can be selected?

We have 3 positions.

For the first position, we have 8 options.

For the second position, we have 7 options, because we already selected one.

For the third position, we have 6 options, because we already selected two.

The number of different combinations is (8*7*6)/(3*2*1) = 56

The division by 3*2*1 is because if we no divide by this, we are counting multiple times the same combination of employees, but they are contracted in different orders.

2) How many ways you can select only one male?

In this case, we have 3 positions, two of those positions must be for the 2 women, so in the other position, we can select only one male.

We have 6 different males for that position, so we have only 6 combinations in this case.

3) In how many ways we can select at least one male?

Previously found that we have 56 combinations in total.

We only have 2 women and 3 positions, so in all of these combinations, we have at least one male. So there are 56 combinations with at least one male.

The number of combinations in which these 3 new employees can be selected is equal to 56.

Given the following data:

Since the company needs 3 employees, it simply means there are 3 vacant positions. Thus, the number of combinations in which these 3 new employees can be selected is given by:

_nC_r = \frac{n!}{r!(n-r)!}

Combination(n, k) = n!/(r!(n - r)!)

Combination(8, 3) = 8!/(3!(8 - 3)!)

Combination(8, 3) = 8!/(3!(5)!)

Combination = (8 × 7 × 6)/(3 × 2 × 1)

Combination = 336/6

Combination = 56.

Two (2) of the 3 vacant positions must be taken by 2 women, so we can only select one male. Thus, the number of ways is given by:

Number of ways = 6 × 1

Number of ways = 6.

Choosing 1 male = 6 ways

Choosing 2 males = two males from 6 males and 1 male from two females.

Comb(6, 2) × 2 = 6!/(2!(6 - 2)!) × 2

Comb(6, 2) × 2 = 6!/(2!(4)!) × 2

Comb(6, 2) × 2 = 15 × 2

Comb(6, 2) × 2 = 30 males.

Choosing 3 males = three males from 6 males;

Comb(6, 3) = 6!/(3!(6 - 3)!)

Comb(6, 3) = 6!/(3!(3)!)

Comb(6, 3) = 20 males.

Total combination = 6 + 30 + 20

Total combination = 56.

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Answer:

1/42

Step-by-step explanation:

You can use a calculator and input the equation.

Answer:

1/42

Step-by-step explanation:

1/7 divided by 6= 1/7 multiplied by 1/6. We get 1/6th because we have to flip 6/1 around, 1/6 times 1/7 =1/42

Answer:

x^12 + 9x^4 - 9x^3 - 18

Step-by-step explanation:

When there is a circled in black dot in the middle of f and g, then it means to multiply. Using the distributive property and the FOIL method, the answer should be x^12 + 9x^4 - 9x^3 - 18.

Answer:

-1.58

Step-by-step explanation:

We have that the mean (m) is equal to 89 and the standard deviation (sd) 2.4

They ask us for P (x <85.2)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd)

We have all these values, replacing we have:

z = (85.2 - 89) / (2.4)

z = -1.58

Answer:

When you find the volume of the cylinder you square instead which isn't equal to multiplying so the answer will be more then doubled.

Step-by-step explanation:

Answer:

The volume of the first is not 2 * volume of the second. They both have the same volume.

Step-by-step explanation:

The 2 cylinders described are identical. The diameter = 2 times the radius, so the radius of the first cylinder = 1/2 * 7 = 3.5 in,  which is the same as the radius of the second one. Also the heights are the same so the volumes are the same too.

Answer:

pi

Step-by-step explanation:

Theta is 1/2 of a circle

A circle is 360 degrees or 2pi radians

Take 1/2 of that for a semi circle

180 degrees or pi radians

Answer:

pi

Step-by-step explanation:

Arc length = r × theta

8pi = 8 × theta

theta = 8pi/8

= pi radians

Answer:

8/9

Step-by-step explanation:

It has to be bigger than 2/3 which is equivalent to 6/9.It cannot be a half which is too less.1 or above is too much.B. is just right.

Answer:

Step-by-step explanation: 6,5

Answer:

6, 5

Step-by-step explanation:

1+5=6 It moves to the right so it's addition

2+3=5 It moves up so it's addition

Answer:

w + 4

Hope the picture helps

Answer:

Lower quartile: 72

Upper quartile: 84

Step-by-step explanation:

Follow the instructions in the hint to solve the problem.

First, divide the data set into halves:

70, 70, 72, 75, 79

80, 80, 84, 89, 95

Now, find the median of the two sets.  The median of set #1 is 72, as that is the number in the middle of the data.

The median of set #2 is 84 for the same reason.

Upper and lower quartiles are just different words for upper and lower medians. The upper quartile is the higher number, and the lower quartile is the lower number.

Answer: step 1

Step-by-step explanation:

Answer:

parellel lines = 7

function = 3

independent variable = 6