an animal gained 8 kilograms over 32 years.what is the unit rate per each year

Answer:

3 points

Step-by-step explanation:

A function is a relation that maps elements of a set for the inputs (the domain, usually denoted with the variable x) into elements of another set, the set of the outputs (the range, usually denoted with the variable y).

So the relation can be represented with points (x, y), which means that point x is being mapped into point y.

Such that the needed condition is that each element of the domain is mapped into only one element in the domain.

So for example, if for a relationship we have the points (a, b) and (a, c)

The point a is being mapped into two different outputs.

Now let's go to our problem, we have the points:

(-3, 2), (-3, 3), (1, 4), (1, -4), (2, -4), (2, -2)

If we have repeated inputs, we need to remove points until we have one of each.

We can see that the inputs -3, 1, and 2 are repeated one time.

Then we need to remove one of each, for example if we remove the second, fourth and sixth points, the set becomes:

(-3, 2), (1, 4), and (2, -4)

This is a function.

Then we need to remove 3 points.

Answer:

C) 3 POINTS

Step-by-step explanation:

ON EDGE 2021

Answer:

12 and 7 meters

Step-by-step explanation:

The area is 84 square meters and the width is 5 meters less than the length. 12 is the length and 7 is the width. 7 is 5 less than 12, and 12*7=84.

The length is 12 and the width is 7

Answer:

69.14% probability that the diameter of a selected bearing is greater than 84 millimeters

Step-by-step explanation:

According to the Question,

Given That, The diameters of ball bearings are distributed normally. The mean diameter is 87 millimeters and the standard deviation is 6 millimeters. Find the probability that the diameter of a selected bearing is greater than 84 millimeters.

we have μ=87 , σ=6 & X=84

This is 1 subtracted by the p-value of Z when X = 84.

So, Z = (84-87)/6

Z = -3/6

Z = -0.5 has a p-value of 0.30854.

⇒1 - 0.30854 = 0.69146

Note- (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 p-value, we get the probability that the value of the measure is greater than X)

Answer:

Square pyramid.

Step-by-step explanation:

Pretend that all the sides are up, and then you’d know it’s a square pyramid because th e bottom is a square and when you put up the sides it’s a pyramid.

I hope this helps! Good luck!

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The amount of money she will have to pay for booking of the holidays would be = £220

The total amount of money that will cost Merrisa for booking of holidays = £660

The fraction of the total cost that she needs to deposit = 1/3

Therefore, the actual amount that she needs to deposit = 1/3 of £660

= 1/3× 660

= £220

Therefore, in conclusion, Merrisa would have to pay a total of £220 for booking of the holidays. This total amount is ⅓ of total cost of booking.

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The trigonometric function y = sin(3x + π) = 0 for -π/3 ≤ x ≤ π/3.

A trigonometric function is a function that uses one of the trigonometric ratios.

Given that we have the trigonometric function y = sin(3x + π) for -π/3 ≤ x ≤ π/3.

To find the range of output values for the range of input values given, we insert the given values of the input into the equation.

So, for the minimum value of y, we substitute x = -π/3 into the equation.

So, y = sin(3x + π)

y = sin(3(-π/3) + π)

y = sin(-π + π)

y = sin(0)

y = 0

For the maximum value of y, we substitute x = π/3 into the equation.

So, y = sin(3x + π)

y = sin(3(π/3) + π)

y = sin(π + π)

y = sin(2π)

y = sin2π

y = 0

So, y = 0 for -π/3 ≤ x ≤ π/3.

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Answer:

B) x>-3

Step-by-step explanation:

B) x>-3

The customer gets 5.66 hours of bike per dollar

At Hoffman's bike, it cost $17 to rent a bike for 3 hours

The number of hours gotten from the bike per dollar can be calculated as follows

17= 3
1= x

Cross multiply both sides

3x= 17

x= 17/3

x= 5.66

Hence it will cost the customer 5.66 hours to rent the bike for one dollar

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The correct pairings are:

a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

b) Five times the difference of a number squared and six: 5(n² - 6)

c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

d) O twice the difference of nine and a number squared: 2(9 - n²)

The correct pairings of descriptions and expressions are as follows:

Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3

This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.

Five times the difference of a number squared and six: 5(n² - 6)

This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.

Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4

This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.

O twice the difference of nine and a number squared: 2(9 - n²)

This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.

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The coordinates of the point that corresponds to -5π/4 on the unit circle is (-1/√2, 1/√2).

Given that,

We have to find the coordinates of the point that corresponds to -5π/4 on the unit circle.

We know that any point on the unit circle can be defined as,

(cos θ, sin θ)

where θ is the angle formed with the X axis.

-5π/4 will be the point the corresponds to -225°.

Cos(-5π/4) = cos (5π/4)

                  = cos (π + π/4)

                  = -cos (π/4)

                  = -1/√2

sin (-5π/4) = -sin (5π/4)

                  = -sin (π + π/4)

                  = sin (π/4)

                  = 1/√2

Hence the coordinate of the unit circle is (-1/√2, 1/√2).

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Answer:

HCF=1,LCM=315

Step-by-step explanation:

PLEASE MARK ME BRAINLEST

Answer:

You will have earned $113 in interest.

Step-by-step explanation:

After investing for 4 years at 3% interest, your initial investment of $900 will have grown to $1,013.

To find the amount you need to invest, we can use the formula for simple interest:

\(\displaystyle\sf \text{{Interest}} = \text{{Principal}} \times \text{{Rate}} \times \text{{Time}}\)

Here, the principal is the amount you need to invest, the rate is 3% (or 0.03 as a decimal), and the time is 4 years. We can rearrange the formula to solve for the principal:

\(\displaystyle\sf \text{{Principal}} = \frac{{\text{{Interest}}}}{{\text{{Rate}} \times \text{{Time}}}}\)

Plugging in the given values, we get:

\(\displaystyle\sf \text{{Principal}} = \frac{{900}}{{0.03 \times 4}}\)

Simplifying further:

\(\displaystyle\sf \text{{Principal}} = \frac{{900}}{{0.12}}\)

Calculating the division:

\(\displaystyle\sf \text{{Principal}} = 7500\)

Therefore, you will need to invest $7500 at 3% to have earned $900 in interest in 4 years.

Answer:

the answer is D. F(x) = 1/x(x-3)

Step-by-step explanation:

Answer:

which of the following set of nos could not be the length of sides of aright angled triangles.

Answer:

7812 is what i got

Answer:

7812

Step-by-step explanation:

brainliest plzzzzzz

Answer:

x=3 and x=5

Step-by-step explanation:

its half of the bottom number

Answer:

an equation between two variables that gives a straight line when plotted on a graph.

Step-by-step explanation:

Complete Question

The data represent the membership of a group of politicians. If we randomly select one politician, what is the probability of getting a Republican given that a male was selected?    

        Republican      Democrat           Independent

Male           11                  6                                   0

Female       70                  17                                  7

The probability is approximately_____?

Answer:

The  probability is  \(P(k) = 0.647\)

Step-by-step explanation:  

From the question we are told that

   The  sample size of male is  \(n_m = 11 + 6 =17\)

     The  number of male Republican is  \(k = 11\)  

Generally the probability of getting a Republican given that a male was selected is

            \(P(k) = \frac{k}{n_m}\)

substituting values

          \(P(k) = \frac{ 11}{17}\)

          \(P(k) = 0.647\)

Answer:

5164

Step-by-step explanation:

Answer: 576

Step-by-step explanation:

4x4x4x4 = 256

10+ 256 +22

288 divided by 4/8

576

The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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Answer:

Step-by-step explanation:

At y intercept, x = 0. So, y-intercept = b = 9

Slope intercept form : y = mx + b

y = mx + 9

To find the slope, take any point on the line.(2 , 5)

Substitute x and y values in the above equation and now we can find the value of m

5 = m*2 + 9

5 - 9 = 2m

-4 = 2m

-4/2 = m

m = -2

Equation of the line:

y = -2x + 9

c is 36.

a perfect square trinomial, (x + y)² = x² + 2xy + y²

so, if we have the x of the 12x, what is left is the 12

since we also have the 2 (used for every square trinomial), 12/2 = 6

since c is the squared value, we do 6² = 36

hope it helps :)

Answer:

x2 + 2 (6) + 62 = (x + 6)2 a perfect square. Therefore c = 36

Answer:

a speaker receive credibility is a combination of competence trustworthiness and caring

The maximum revenue generated is $160000.

Given that, the revenue function for a sporting goods company is given by R(x) = x⋅p(x) dollars where x is the number of units sold and p(x) = 400−0.25x is the unit price. And we have to find the maximum revenue. Let's proceed to solve this question.

R(x) = x⋅p(x)

And,  p(x) = 400−0.25x

Put the value of p(x) in R(x), we get

R(x) = x(400−0.25x)

R(x) = 400x - 0.25x²

This is the equation for a parabola.  The maximum can be found at the vertex of the parabola using the formula:

x = -b/2a from the parabolic equation ax²+bx+c   where a = -0.25,  b = 400 for this case.

Now, calculating the value of x, we get

x = -(400)/2×-0.25

x = 400/0.5

x = 4000/5

x = 800

The value of x comes out to be 800. Now, we will be calculating the revenue at x = 800 and it will be the maximum one.

R(800) = 400x - 0.25x²

= 400×800 - 0.25(800)²

= 320000 - 160000

= 160000

Therefore, the maximum revenue generated is $160000.

Hence, $160000 is the required answer.

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The 99% confidence interval for population proportion p is 0.117 < P < 0.243 for the true population proportion of people who received flu vaccinations this year when out of 200 people sampled, 36 received flu vaccinations this year.

Given that,

n = 200

x = 36

Point estimate = sample proportion

= x/n = 36/200 = 0.18

1 - p = 1 - 0.18 = 0.82

At a 99% level, the z is,

α = 1 - 0.99 = 0.01

α/2 = 0.005

Zα/2 = 0.005Z = 2.576

The margin of error = E = Zα/2 \(\sqrt{p(1-p)} /n\)

= 2.576\(\sqrt{0.18*0.82} /200\)

E = 0.063

A 99% confidence interval for population proportion p is,

p - E < P < p + E

0.18 - 0.063 < P < 0.18 + 0.063

0.117 < P < 0.243

Therefore, the 99% confidence interval for population proportion p is 0.117 < P < 0.243 for the true population proportion of people who received flu vaccinations this year when out of 200 people sampled, 36 received flu vaccinations this year.

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