Fill in the table. First Integer ( x) Give four consecutive integers: Next Integers

Answer:

y = -5/2x + 27/2

Step-by-step explanation:

line formula is y = mx + b

perpendicular means number next to the x (slope or m) becomes a negative reciprocal

2/5x -> -5/2x

then use point slope formula

y - y1 = m (x - x1)

y - 6 = -5/2 (x - 3)

y - 6 = -5/2x + 15/2

y = -5/2x + 15/2 + 6

y = -5/2x + 15/2 + 12/2

y = -5/2x + 27/2

Answer:

330

Step-by-step explanation:

11

C

4

We use formula n! /((n-r)!r!)

11!/((11-4)!4!)

11!/((7!)(4!))

11x10x9x8x7!/(7!)(4!)

11x10x9x8/(4!)

11x10x72/24

11x10x3

330

Therefore number of ways =330

we have drawn the graph of the inequality - 6 > t - ( - 13 ) which can also be written as t < - 19.

We are given an inequality:

- 6 > t - ( - 13 )

- 6 > t + 13

t + 13 < - 6

Subtract 13 from both the sides, we get that:

t + 13 - 13 < - 6 - 13

t < - 19

Now, we have to graph the inequality.

The line of the inequality will be t = - 19 which will be dotted as t is not equal to - 19.

The following graph is obtained.

Therefore, we have drawn the graph of the inequality - 6 > t - ( - 13 ) which can also be written as t < - 19.

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The mean of the test is 20.

To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.

Let's denote the mean of the test as μ, and the standard deviation as σ.

We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:

29 = μ + 3σ

Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:

23 = μ + σ

Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.

From the second equation, we can isolate μ:

μ = 23 - σ

Substituting this value into the first equation, we have:

29 = (23 - σ) + 3σ

Simplifying the equation, we get:

29 = 23 + 2σ

2σ = 29 - 23

2σ = 6

σ = 3

Substituting the value of σ back into the second equation, we find:

μ = 23 - 3

μ = 20

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Answer:

2x - y = 8

Step-by-step explanation:

Hey,

To create this equation in standard form, you first have to form it in slope-intercept form.

Slope-intercept Form= y = mx + b, where m is the slope, and b is the y-intercept.

y = 2x + b

To Find B, we will substitute the ordered pair (8,8) as x and y.

8= 2(8) + b

8 = 16 + b

Subtract 16 from both sides.

8-16 = 8 +16 -16 +b

Simplify.

-8 = b

Substitute in the equation

y = 2x -8

Convert to Standard Form.

Subtract 2x on bot sides.

y - 2x = 2x - 2x - 8

y - 2x = -8

Multiply Entire equation by -1.

-1(y - 2x = -8)

2x - y = 8

Hope I helped, Have a nice day!

      -Aadi x

The length of time that it will take for each of the workout sessions would be: Plan A = 1.5 hours, and Plan B =  0.5 hours.

The length of the sessions can be obtained by first obtaining drawing a system of equations for the two cases. On Wednesday, we can represent the sessions as follows:

2A + 12B = 9 hours

On Thursday, we would have

5A + 3B = 9 hours

2A + 12B = 9  Eqn 1

5A + 3B = 9   Eqn 2

Multiply equation 2 by -4

2A + 12B = 9

-20A - 12B = -36

2A - 20A = 9 -36

-18A = -27

Divide both sides by -18

A = 1.5 hours

For B, substitute A in the first equation

2(1.5) + 12B = 9

3 + 12B = 9

12B = 9 - 3

12B = 6

Divide both sides by 12

B = 0.5

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Complete Question:

Ann the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 2 clients who did Plan A and 12 who did Plan B. On Thursday there were 5 clients who did Plan A and 3 who did Plan B. Ann trained her Wednesday clients for a total of 9 hours and her Thursday clients for a total of 9 hours. How long does each of the workout plans last?

The 6th term of the given sequence is 35.

Arithmetic sequence is a sequence where each consequtive term has a common constant difference.

An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.

Given sequence is 10,5, 5/2

a = 10

d = 10 - 5 = 5

Tn = a+(n-1)d

T6= 10 + (6-1) 5

= 10 + (5)5

= 10 + 25

= 35

Hence, the 6th term of the given sequence is 35.

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Answer:

Step-by-step explanation:

80.000

It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

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Answer:

It will take 4 hours and 20 minutes to hike the rest of the 7 miles

Step-by-step explanation:

Answer:

The answer is 3.16666667 its simple u just divide 95 by 30

Step-by-step explanation:

Answer:

3.06451613

Step-by-step explanation:

You divide 95 by 31 to get 3.06441613

Answer: C

Step-by-step explanation:

For box and whiskers plot the box is where the majority of the data is.  the whiskers(the lines on both sides will tell you where the range of numbers lie)

The middle line in the box is the median number.

The question is worded oddly where they want least likely to be more than 30 which means which one will have less than 30. (Double negative question)

You want the majority of the data to be less than 30, which is subway.  C

Answer:

12.7 is the answer

Answer: 12.7

Step-by-step explanation:

If you like to round 12.654 to the nearest tenth, leaving only one number after the decimal point, then you have come to the right post

Answer: If a person needs roughly 2,100 to 2,400 calories per day, and they eat a treat that has 1,100 calories, they should consume 1,000 to 1,300 fewer calories for the rest of the day. This is because the body will only be able to process so many calories at once, and any excess calories will be stored as fat.

It is important to note that this is just a general guideline. The number of additional calories that a person should consume after eating ice cream will vary depending on their individual metabolism and activity level. If you are unsure how many calories you should be consuming, it is always best to speak with a registered dietitian.

Here are some tips for eating ice cream without sabotaging your weight loss goals:

* Choose lower-calorie options. There are many ice cream brands that offer lower-calorie options, such as light ice cream and frozen yogurt.

* Eat smaller portions. Instead of eating a whole pint of ice cream, try eating a half-cup or a single-serve container.

* Add healthy toppings. Instead of piling on the toppings, try adding healthy options like fruit, nuts, or granola.

* Enjoy your ice cream! Don't feel guilty about eating ice cream every once in a while. Just be sure to make it part of a balanced diet.

Answer:

18. 2,970 orbits.

19. 12,00 pounds

20. Vic’s town by 52,000

Step-by-step explanation:

The values of the expressions are;

z³³

d⁻¹⁶

Note that index forms are described as forms used in the representation of numbers or variables too large or small.

Some rules of index forms are;

Then, from the information given, we have that;

(z⁻⁴/z⁶  × z⁵/z⁻⁶)⁻¹¹

Subtract the exponents, we have;

(z⁻² × z⁻¹)⁻¹¹

expand the bracket

z²² ⁺ ¹¹

z³³

(d⁴)⁻³/(d⁶)⁻²  ÷  (d⁴/d⁶)⁻⁸

expand the brackets

d⁻¹²/d¹²  ÷    (d⁻²)⁻⁸

subtract the exponents

d⁰  ÷  d¹⁶

d⁻¹⁶

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but am not pretty sure

the volume of cone is =1/3 pie r² h

I think this is the formula to calculate it

The traveler must walk 17 blocks to reach the State Building.

The traveler needs to walk 8 blocks from the intersection of Orovada Street and Washington Avenue to the State Building.

She also knows that the intersection of Orovada Street and Washington Avenue is 5 blocks from the intersection of Wyoming Street and Washington Avenue, so she needs to walk 5 blocks from the intersection of Wyoming Street and Washington Avenue to the intersection of Orovada Street and Washington Avenue.

Also, the traveler had to walk 4 blocks to get from the intersection of Wyoming Street and Green Avenue to the intersection of Orovada Street and Green Avenue.

Therefore, the traveler must walk 8 + 5 + 4 = 17 blocks to reach the State Building.

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Answer:

The wife earns $95,000.

man they save up they can get a Rolls-Royce i wonder what there job is cause i want it. lol PLS GIVE ME BRAINLIEST

The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

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The solutions to the expressions are (m-8)² = m² - 16m + 64 and 2m²-16m + m²-8m+161 = 3m²- 24m + 161

From the question, we have the following parameters that can be used in our computation:

(m-8)²

Expand

So, we have

m² - 16m + 64

Next, we have

2m²-16m + m²-8m+161

Evaluate the like terms

3m²- 24m + 161

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Answer:

12

Step-by-step explanation:

We know that ,

So that ,

Answer:

D. 5^6

Step-by-step explanation:

\(5^2*5^4\\5^2^+^4\\5^6\)

Answer:

the answer is b, c, d, a, respectively

Answer: $2.10

Step-by-step explanation: 3% of $70 is $2.10.

The total cost would be $72.10

How to calculate percentages:

Divide the number that you want to turn into a percentage by the whole. In this example, you would divide 2 by 5. 2 divided by 5 = 0.4. You would then multiply 0.4 by 100 to get 40, or 40%.

The polynomial 11x⁵  + x⁴ - 4x³ - 5x² + 8 denotes the expression P - Q. The correct option is option A.

What is an expression?

A mathematical expression is a phrase that contains a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: Expression is (Math Operator, Number/Variable, Number/Variable)

Given polynomials are:

P = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5

Q = (2x² + 1) (4x² - 3)

Simplify the polynomial Q = (2x² + 1) (4x² - 3):

Q = (2x² + 1) (4x² - 3)

Q = 2x²(4x² - 3) + 1(4x² - 3)

Q = 8x⁴ - 6x² + 4x² - 3

Add like terms:

Q = 8x⁴ - 2x² - 3

Now calculate P + Q

P + Q = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5 + 8x⁴ - 2x² - 3

Combine like terms:

P + Q = 11x⁵ + (9x⁴ + 8x⁴) - 4x³  + (- 7x² - 2x²) + 5 - 3

P + Q = 11x⁵ + 17x⁴ - 4x³ - 9x² + 2

Now calculate P - Q

P - Q = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5 - (8x⁴ - 2x² - 3)

P - Q = 11x⁵  + 9x⁴ - 4x³ - 7x² + 5 - 8x⁴ + 2x² + 3

P - Q = 11x⁵  + (9x⁴ - 8x⁴) - 4x³ + (-7x² + 2x² )+ (5 + 3)

P - Q = 11x⁵  + x⁴ - 4x³ - 5x² + 8

Now calculate Q - P

Q - P =  8x⁴ - 2x² - 3 - (11x⁵  + 9x⁴ - 4x³ - 7x² + 5)

Q - P =  8x⁴ - 2x² - 3 - 11x⁵  - 9x⁴ + 4x³ + 7x² - 5

Combine like terms:

Q - P = - 11x⁵ + (8x⁴ - 9x⁴) + 4x³ + (- 2x² + 7x²) - 3 - 5

Q - P = - 11x⁵- x⁴ + 4x³ + 5x² - 8

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Answer:

Step-by-step explanation: