The graph of a function is given.
Is the function linear or nonlinear?
Select from the drop-down menus to correctly
complete the statement.
The function is Choose...
because it
Choose... have a constant rate of change.

Answer:

A

If u plug it into desmos u get a straight line

Answer:

32

Step-by-step explanation:

Answer:

43.6 has 3 significant figures.

Answer:

A.

Step-by-step explanation:

5>4

6>2

5 is greater than 4, 6 is greater than 2

Answer:

a

Step-by-step explanation:

aa

Answer:

$6.88

Step-by-step explanation:

16Tbs. =1 cup,

4 pies =2 cups of lemon juice, so you need 32 Tbs. of lemon juice

32/2=16

16*0.43=$6.88

Answer: $ 6.88

Step-by-step explanation:

In one cup there is 16 tablespoons.

each lemon costs .43 and gives 2 tablespoons

Half a cup would give us 8 tablespoons = 4 lemons at the cost of 1.72

1.72 times 4 pies

Making the whole thing of 4 pies cost 6.88

Giving us the answer of 6.88.

(correct me if i'm wrong)

Answer: The equation of a line perpendicular to 2x + 2y = - 10 that passes through the point (6, 2) is y = x - 4

The number is 280

In mathematics, Least Common Multiple is referred to by its entire name, whereas Highest Common Factor is its complete name. The L.C.M. defines the least number that is exactly divisible by two or more numbers, whereas the H.C.F. describes the biggest factor existing between any given pair of two or more numbers. LCM is also known as the Least Common Multiple (LCM), and HCF is also known as the Greatest Common Factor (GCF).

Two key techniques—the division method and the prime factorization approach—can be used to determine H.C.F. and L.C.M.

So we need to find the LCM of 2,5 and 7. Furthermore, we need to find multiply the LCM with a number which can make its sum of digits equal to 10.

LCM of 2,5 and 7 is 70

70 x 4 = 280

Sum of digits of 280 is 10, which is also less than 500

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The equation is proved.

G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)

We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)

in the given equation, we get

\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)

\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)

\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)

\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)

\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)

`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)

For `LHS`, using identity

\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)

\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)

\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)

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For this problem, we are informed about an investment made by Lori, they invested $1500 on an account that earns 6% interest compounded monthly. We need to find how much the account will be worth in 5 and 10 years. We also need to compare the value of the account in 10 years if it was a simple interest account.

In order to solve the compounded part of this problem, we need to use the following formula:

Where A is the final amount, P is the invested principal, r is the interest rate, n is the number of times it gets compounded in a year, and t is the elapsed time.

For 5 years, we have:

For 10 years, we have:

If the money were applied to an account with simple interest, we would need to use the following formula:

So for 10 years, we have:

If the money is invested for 5 years, the return is equal to 2023.28.

If the money is invested for 10 years, the return is equal to 2729.1.

If the money is invested for 10 years using simple interest, the return is equal to 2400.

Hi, for this type of question, go on desmos. but the answer is A,B,D,E

sorry if wrong

A=1.08333333333

B=1

C=2.08333333333

D=1

E=1.125

the correct answer is ...b, and d

Answer:

4x^2+3x-6

Step-by-step explanation:

Answer:

4x^2+3x-2

Step-by-step explanation:

I hope this helps

Step-by-step explanation:

the numbers : x, y

x - y = 8

2y = x + 4

2y - 4 = x

we use the last equation in the first :

2y - 4 - y = 8

y - 4 = 8

y = 12

x = 2y - 4 = 2×12 - 4 = 24 - 4 = 20

the smaller number is 12.

The value of the smaller number will be 12.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The difference between two whole numbers is 8.

And, Twice the smaller number is 4 more than the larger number.

Now,

Let two numbers are x and y.

Where, x is larger number and y is smaller number.

Since, The difference between two whole numbers is 8.

Hence, We get;

⇒ x - y = 8

⇒ x = 8 + y  ..(i)

And, Twice the smaller number is 4 more than the larger number.

So, We get;

⇒ 2y = 4 + x  ..(ii)

Substitute the value of x from (i) in above equation, we get;

⇒ 2y = 4 + 8 + y

Solve for y as;

⇒ 2y - y = 12

⇒ y = 12

Thus, The value of the smaller number will be 12.

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Based on the above, David must save $150 each month to cover the money left over for his first year of college.

To calculate the savings that David must make monthly for the next 5 years we must carry out the following procedure:

His uncle gave him $12,000 so we must subtract this value from the total he needs.

So he must save $9,000 in 5 years.

According to the above, he must save $1,800 per year, so each month he should save $150.

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The results based on the information provided in the question will be as follows:

a) By using the analysis of variance (ANOVA) table,

MSE= 440.1/10 = 44.01

F = 2717.9/44.01 =61.756

b) To interpret the slope of regression model,

the slope represents that for each $1000 increase in the income of a family on an average sale price increase by 2184.3

c) To calculate the value of coefficient of determination and its interpretation,

0.712 and the lowest that coefficient of determination is 0 and highest is 1. Thus, here the coefficient is high.

d) By using regression equation,

Price = 11.8+2.18×income

Predicted value = (-11.8+2.18×20)×1000 = 31800

e) To compute, 95% confidence slope

= 2.1843/2.228×0.278 = 1.565;2.804

f) The linear relationship between income and price,

All the intervals above have a value of more than 0 therefore we can conclude that the slope is significant. Thus, we have sufficient evidence that at 0.05 level of significance the linear relationship between income and price is inter related.

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Note that the full question is:

The National Association of Home Builders ranks the most and least affordable housing markets based on the proportion of homes that a family earning the median income in that market could afford to buy. Data containing the median income $1000s) and the median sale price($1000s) for a sample of 12 honsing markets appearing on the list of most affordable markets were subjected to a simple linear regression analysis. The following results were obtained. The regression equation is price-11.8 +2.18 income Predictor Coef StDev Constant11.80 12.84 income 2.1843 0.2780 S 6.634 Analysis of Variance Source Regression 1 2717.9 2717 DF SS MS F P Residuni Eror 10 440. Total 1 3158.0 a. Using the snalysis of variance table, find MSE b. Interpret the slope of the regression model. the valus ul and interpret it d. Using the estimated regression equation, the value ofy ifx-$20,000 e. Compute 95% confidence al for the slope 43-1+2.2280T g. At the 0.05 level of significunce, is there evidence of a linear relationship between income and price

The vertex angle of the isosceles triangle is 22°.

What is isosceles triangle?

A triangle with two equal sides is said to be isosceles. Also equal are the two angles that face the two equal sides. In other terms, an isosceles triangle is a triangle with two sides that are the same length.

We know that an isosceles triangle is composed of a vertex angle and two base angles. The base angles are congruent to each other. We also know that the sum of a triangle's angles is 180degrees.

Base angle = 3vertex angle+13.

=> 2base angle + vertex angle = 180°

=> 2(3 vertex angle +13)+vertex angle = 180°

=> 6 vertex angle+26+vertex angle = 180

=> 7 vertex angle = 180-26

=> 7 vertex angle = 154

=> vertex angle = 154/7 = 22°.

Hence the vertex angle of the isosceles triangle is 22°.

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Answer: 53.8

Step-by-step explanation:

Answer:

21km

Step-by-step explanation:

1km=100000cm

14x150000=2100000cm=21km

The distance in real life in kilometers by the given scale factor will be 21 kilometers.

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

The scale factor is done due to the unpractical measurement of any figure.

As per the given,

Scale factor = 1 : 150000

It means 1 cm will convert to 150000 cm.

In real life = 14 x 150000 = 2100000 cm

2100000 cm = 21000 m = 21 kilometer

Hence "The distance in real life in kilometers by the given scale factor will be 21 kilometers".

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The probability of the sample mean being less than 25.3 is given as follows:

0.9713 = 97.13%.

The sample mean would not be considered unusual, as it has a probability that is greater than 5%.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 25, \sigma = 1.3, n = 68, s = \frac{1.3}{\sqrt{68}} = 0.1576\)

The probability of a score less than 25.3 is the p-value of Z when X = 25.3, hence:

Z = (25.3 - 25)/0.1576

Z = 1.9

Z = 1.9 has a p-value of 0.9713.

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The volume of the composite figure is 6,330.24 in^3

We know that the volume of half a sphere of radius R is:

V = (2/3)*pi*R^3

Here we know that pi = 3.14 and R = 12 inches, then the volume is:

V = (2/3)*3.14*(12 in)^3 = 3,617.28 in^3

And the volume of a cone of height H and radius R is:

v = (1/3)*pi*R^2*H

So here the volume is:

v = (1/3)*3.14*(12in)^2*18in = 2,712.96 in^3

Then the total volume is:

3,617.28 in^3 +  2,712.96 in^3 = 6,330.24 in^3

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Answer: C:800.B:1200.T:1600

Step-by-step explanation: If the ratio is proportional to the time spent on the marketing competition, then we can add the hours up: 4+6+8=18. Total amount divded by total hours -> 3600/18=200. So each hour worked is 200 dollars. Christine worked 4 hours, 4*200=800, Bianca worked 6 hours, 6*200=1,200, and Travis worked 8 hours, 8*200=1,600.

Answer:

Step-by-step explanation:

Step-by-step explanation:

area of rectangle= l*b

2and 2/3  * 7 and 3/4

8/3 * 31/4

62/3 sq . feet

20 and 2/3 feet

Answer:

Step-by-step explanation:

W=(-6,4)

X=(6,-8)

here, x1=-6 , y1=4 , x2=6 , y2=-8

use formula

\(\sqrt{)x2-x1)^2+(y2-y1)^2}\)

\(\sqrt{(6+6)^2+(-8-4)^2}\)

\(\sqrt{12^2+(-12)^2\)

\(\sqrt{144+144\)

\(\sqrt{288\)

16.97

Answer:-5.5

Step-by-step explanation:1/2 is basically .50 so -5 - .50 gives you -5.5

Answer:

-5.5

Step-by-step explanation:

When you do -5 - 1/2, you get -5.5!

Answer:

Step-by-step explanation:

From the given information:

Let X be the random variable;

The mean survival time is E(X):

E(X) = μ

E(X) = ∝β

E(X) = 5 × 10

E(X) = 50

To find the standard deviation, we must first determine the variance:

\(V(X) = \sigma ^2\)

\(V(X) = \alpha \beta ^2\)

\(V(X) = 5 \times (10)^2\)

\(V(X) = 5 \times 100\)

\(V(X) = 500\)

The standard deviation is:

\(\sigma =\sqrt{V(X)}\)

\(\sigma =\sqrt{500}\)

\(\sigma =22.361\)

The standard deviation of survival time = 22.361

(c)

P(X>30) = 1 - P(X ≤ 30)

\(= 1 - \int \limits ^{30}_{0} \ f(x) \ dx\)

\(= 1 - \int \limits ^{30}_{0} \dfrac{1}{\beta^{\alpha} \Gamma \alpha }x^{a-1} e ^{-x/\beta } \ dx\)

\(= 1 - \int \limits ^{30}_{0} \dfrac{1}{\beta^{\alpha} \Gamma (5)}x^{5-1} e ^{-x/10 } \ dx --- (1)\)

So, if:

\(y = \dfrac{x}{10}\)

\(dy = \dfrac{dx}{10}\)

10dy = dx

and limits of y are 0 and 3.

because;

for x = 0

\(y = \dfrac{0}{\beta}\)

y = 0

For x = 30

\(y = \dfrac{30}{10}\)

y = 10

From (1);

\(P(X> 30) = 1 - \int \limits ^{30}_{0} \dfrac{1}{\beta^{\alpha} \Gamma (5)}x^{5-1} e ^{-x/10 } \ dx\)

\(P(X> 30) = 1 - \int \limits ^{3}_{0} \dfrac{(10y)^4}{10^{5} \Gamma (5)}e ^{-y } \ dy\)   since y = x/β

\(P(X> 30) = 1 - \int \limits ^{3}_{0} \dfrac{10^4 y^4 \ e^{-y} }{10^{4} \Gamma (5)} \ dy\)

\(P(X> 30) = 1 - \int \limits ^{3}_{0} \dfrac{y^4 \ e^{-y} }{ \Gamma (5)} \ dy\)

Since;

\(F(a, \alpha )= \int \limits ^a_0 \dfrac{y^{a-1}e^{-y}}{\Gamma (\alpha )} dy\)

Then;

P(X> 30) = 1 - F(3,5)

From the table of incomplete gamma function;

P(X > 30) = 1 - 0.185

P(X > 30) = 0.815

Thus, the probability that an animal survives more than 30 weeks is 0.815

a)The mean survival time of a randomly selected animal of the type used in the experiment is 50.

b)Standard deviation of survival time is 22.36

The standard deviation of a random variable, sample, statistical population, data set, or probability distribution is the square root of its variance.

Suppose x is the random variable.

It is given that α= 5 and β=10.

So, the mean survival E(x)=α β

The mean survival E(x) =5*10

The mean survival E(x) =50

We know that Variance =α β²

So, Variance = 5*10²

Variance =500

We know that standard deviation σ = √Variance

σ = √500

σ = 22.36

Therefore, a)the mean survival time of a randomly selected animal of the type used in the experiment is 50.

b)Standard deviation of survival time is 22.36

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The standard deviation is:

The standard deviation of survival time = 22.361

The quantity that tells us what fraction of the variation in the responses is explained by the straight-line tie between the response and explanatory variables is the square of the correlation coefficient. Correct option is D.

The correlation coefficient, denoted by r, is a measure of the strength and direction of the linear relationship between two variables.

The value of r ranges between -1 and +1, where a value of +1 indicates a perfect positive linear relationship, a value of -1 indicates a perfect negative linear relationship, and a value of 0 indicates no linear relationship between the variables.

The square of the correlation coefficient, r^2, is also known as the coefficient of determination. It represents the proportion of the total variation in the response variable that is explained by the linear relationship with the explanatory variable.

For example, if r^2 is 0.64, it means that 64% of the variation in the response variable can be explained by the linear relationship with the explanatory variable, while the remaining 36% is due to other factors or sources of variation.

In summary, the square of the correlation coefficient is a useful quantity to assess the strength and significance of the linear relationship between two variables and to estimate the proportion of the variation in the response variable that is explained by the explanatory variable.

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Answer:

113 points per game

Step-by-step explanation:

8 basketball games

904 points in total

How many did they score per game?

______________________________

We know the Warriors scored 904 points at the end of the day, whilst having 8 basketball games said same day.

We need to split this equally to find our answer.

Divide the amount of points to the amount of games played :

904/8

113 points per game