Which graph represents the function of f(x) =
9x2 – 36/3x + 6?

Answer:

-3

Step-by-step explanation:

Variables are letters which are used to represent particular unknown quantities in equations.

Now the variable in this question is x.

When we talk about coefficient , we mean the number before the variable in question.

We can see that the variable is written as -3x

-3 is the value before the variable so we can agree that -3 is its coefficient

Answer:

its -3, i took the test

Have a great day!!

Step-by-step explanation:

D. Converse and contrapositive are pairs of propositions that are logically equivalent.

The inverse of a conditional statement switches the hypothesis and the conclusion and negates both. The contrapositive also switches the hypothesis and the conclusion, but negates both and reverses their order. Therefore, the inverse and contrapositive are logically equivalent.

The converse of a conditional statement switches the hypothesis and the conclusion without negating them. The contrapositive switches the hypothesis and the conclusion, but also negates them. Therefore, the converse and contrapositive are logically equivalent.

The conditional statement and its contrapositive are also logically equivalent, but not the conditional and inverse, or the converse and inverse. The converse and conditional are not logically equivalent in general.

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The maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.

To find the maximum and minimum values of the function y = sin x + sin 2x, we can first take its derivative with respect to x:

y' = cos x + 2 cos 2x

Then, we can set y' equal to zero and solve for x:

cos x + 2 cos 2x = 0

We can use a graphing calculator to find the solutions to this equation, which are approximately x = 0.285 and x = 2.857. We can then evaluate the original function at these values to find the maximum and minimum values:

y(0.285) ≈ 1.724

y(2.857) ≈ -1.724

Therefore, the maximum value of the function is approximately 1.724 and the minimum value is approximately -1.724.

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Answer:

b is y=2x+3, a is y=2x-2

Step-by-step explanation:

You just look at the y intercepts.

Since b intersects 3 in the y axis the y intercept is 3.

Since a intersects -2 in the y axis the y intercept is -2.

Answer:

y=2x-2 for the second line (a)

y=2x+3 for the first line (b)

Step-by-step explanation:

pls mark brainliest

Answer:

C

Step-by-step explanation:

Answer:

$120

Step-by-step explanation:

The sets that are equal are A = {1, 2, 3} and B = {2, 1, 3}

The order of elements does not matter when determining the equality of sets. Both sets A and B contain the same elements, namely 1, 2, and 3, even though their order is different. Therefore, we can say that A and B are equal sets.

The other sets mentioned, A = {1, 2} and B = {1}, A = {1, 2, 4} and B = {1, 2, 3}, and A = {1, 2} and B = {1, 2, 3}, are not equal because they have different elements. In the first case, set A has two elements, while set B has only one element.

In the second case, set A contains the element 4, which is not present in set B.

In the third case, set A has two elements, while set B has three elements, including the element 3, which is not present in set A.

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The model e(y) is used to relate the expected value of the dependent variable, e(y), to a single qualitative variable with four levels. In this case, the qualitative variable represents different categories, and the model aims to examine how these categories affect the dependent variable. The model can be represented as:

e(y) = β0 + β1X1 + β2X2 + β3X3

Here, X1, X2, and X3 are dummy variables representing three of the four levels of the qualitative variable. The fourth level is considered the reference category, and its effect is captured by the constant term, β0.

The coefficients β1, β2, and β3 measure the difference in e(y) between the respective level and the reference category. By analyzing these coefficients, we can better understand the impact of different categories on the dependent variable e(y).

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Answer: only 2 (y = -1/2x - 3)

Step-by-step explanation: so first find the gradient by doing y minus x and dividing

-4-0/2--6 which equals -1/2 so you know that -1/2 is your gradient. 2 is the only one with a gradient of -1/2x.

Hope this made sense. If not I'll explain again

The range of the function represented by y = 15x + 20, where y is Kim's daily earnings and x is the number of bikes she assembles, is $20 ≤ y ≤ $110.

The range of a function is the set of values of y possible values of the dependent variable after substituting values for the independent variable(domain).

The total amount she earns can be represented by

y = 15x + 20

where y is her daily earnings and x is the number of bikes she assembles

If Kim's boss daily goal is to assemble no more than 6 bicycles a day, then the value of x will only range from 0 to 6(whole number).

domain : {x| 0 ≤ x ≤ 6}

where x is a whole number

Substituting the minimum and maximum value of x in the function.

y = 15(0) + 20     when x = 0

y = 20

y = 15(6) + 20     when x = 6

y = 110

range : $20 ≤ y ≤ $110

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Answer:

x  >  − 6

Step-by-step explanation:

Answer:

x<-10

Step-by-step explanation:

-2x+69<89

-2x<20

2x<-20

x<-10

Answer:

53×3= 159

1908-159(0)= 318

53×6= 318

318-318=0

Answer- 36

first blank-

(1) 5 9

______

Second blank-

(3) 1 8

-

3 1 8

______

third blank-

0

_____

Answer-

3 6

The annuity that should be worth after 6 years is $63,900.

Given that,

Now the following formula should be used:

\(Amount = Present\ value \times \frac{(1+ rate)^{(n)} - 1} {rate}\\\\= \$4,500 \times \frac{(1+0.03)^{12} - 1}{0.03}\\\\= \$4,500 \times \frac{0.4257}{0.03}\\\\= \$4,500 \times 14.1920\\\\= \$63,864\\\\= \$63,900\)

Therefore we can conclude that the annuity that should be worth after 6 years is $63,900.

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Answer: 63900

Step-by-step explanation: Use the savings annuity formula

PN=d((1+r/k)N k−1)r/k

to calculate the value of P6. The question states that r=0.06, d=$4,500, k=2 compounding periods per year, and N=6 years. Substitute these values into the formula results in

P6=$4,500 ((1+0.06/2)6⋅2−1)/(0.06/2).

Simplifying, we have P6=$4,500 ((1.03)12−1)/(0.03). Therefore P6=$63,864.13. Our final answer is 63900.

Based on the ratio of two colors used to produce the mixture, Tim’s grey would be darker.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. In mathematics, a ratio shows how many times one number contains another. In order to make a gray color mixture, black and white paints are mixed together in different ratios of the two given color paints. More black creates a darker gray, and more white creates a lighter gray. As the different parts of black and white colors are mixed, we can determine the darker shade by comparing the ratios.

Grey’s grey = 3/8 = 0.375

Tim’s grey = 4/9 = 0.444

As Tim’s grey ratio is higher than Grey’s grey i.e., 0.444 > 0.375, Tim’s grey would be darker.

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Answer:

3 slices

Step-by-step explanation:

37.5% = 0.375

We take

8 times 0.375 = 3 slices

So, 3 slices of pie remain after dinner.

Answer:

y = -4/5 x - 6

Step-by-step explanation:

First turn both standard form equations to slope-intercept form.

4x + 5y = 10 -3x - 4y = 24

-4x -4x +3x +3x

5y = -4x + 10 -4y = 3x + 24

5 5 -4 -4

y = -4/5 x + 2. y = -3/4 x - 6

Now that you have each in slope-intercept form, we can begin the magic.

So we know that this line's y-intercept will be -6.

Not to mention since it's parallel, that means it will share the same slope as y = -4/5 x + 2, which the slope is -4/5. All together it will be

y = -4/5 x - 6. Now we can graph the line's to see if we we're right. (Look at graphs, attached above⤴⤴⤴) As you can see they are parallel.

Hope this helped :)

To fix the problem and revise the formula to multiply the difference between the values in K8 and J8 by 24, use the formula: =(K8 - J8) * 24.

To revise the formula so that it multiplies the difference between the value in K8 and J8 by 24, you can modify the formula as follows:

Original formula: =SUM(J8:K8)

Revised formula: =(K8 - J8) * 24

In the revised formula, we subtract the value in J8 from the value in K8 to find the difference, and then multiply it by 24. This will give you the desired result of multiplying the difference by 24 in your calculation.

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Answer:

The answer would be 60 degrees

Step-by-step explanation:

I got the answer from the question after getting it wrong

Answer: A pet store had a total of 24 fish. And they separated the fish into 4 different fish tanks tanks.

Step-by-step explanation: 24 fish / 4 fish tanks :)

The amount that each person will contribute towards the concert that will be attended by the three friends would be = $43.

The total number of friends including Hank = 3

The total amount of money that will be spent which include funds for tickets and parking = $129.00

Therefore the amount that will be contributed by each of the friends = 129/3 = $43.

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Answer:5

Step-by-step explanation:

Answer:

177 square cm

Step-by-step explanation:

The radius is half the diameter, so r=7.5 cm. Substituting into the formula for the area of a circle, \(A=\pi r^2=\pi(7.5)^2 \approx 177\) square cm.

The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number.

An equation is an expression that is used to show the relationship between two or more numbers and variables.

The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number. The equation for identity property is:

a * 1 = a

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The curl and divergence of the given vector field can be determined by the following steps :

(a) The curl of the given vector field F(x, y, z) = 5eˣʸ sin(z)j + 4y tan⁻¹(x/z)k is:

curl F = ∇ × F = (∂F₃/∂y - ∂F₂/∂z)i + (∂F₁/∂z - ∂F₃/∂x)j + (∂F₂/∂x - ∂F₁/∂y)k.

Evaluating the partial derivatives, we have:

∂F₁/∂y = 5xeˣʸ sin(z),

∂F₂/∂z = 0,

∂F₃/∂x = 4y / (1 + (x/z)²),

∂F₃/∂y = 0,

∂F₁/∂z = 5eˣʸ cos(z),

∂F₂/∂x = 4y / (1 + (x/z)²).

Substituting these values into the curl equation, we get:

curl F = (0 - 0)i + (5xeˣʸ sin(z) - 4y / (1 + (x/z)²))j + (4y / (1 + (x/z)²) - 5eˣʸ cos(z))k.

(b) The divergence of the vector field F can be calculated as:

div F = ∇ · F = ∂F₁/∂x + ∂F₂/∂y + ∂F₃/∂z.

Evaluating the partial derivatives, we have:

∂F₁/∂x = 5yeˣʸ sin(z),

∂F₂/∂y = 0,

∂F₃/∂z = 5eˣʸ cos(z).

Substituting these values into the divergence equation, we get:

div F = 5yeˣʸ sin(z) + 0 + 5eˣʸ cos(z).

Therefore, the divergence of the vector field F is 5yeˣʸ sin(z) + 5eˣʸ cos(z).

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Answer:

C

− 7 c + 4 d + 7 c 2 d − 10

Step-by-step explanation:

Answer:

300°

Step-by-step explanation:

That'd be 5pi/3 radians.  Note that 3pi/3 radians corresponds to 180° and that 6pi/3 corresponds to 360°.  Thus 5pi/3 is in Quadrant IV, meaning that the angle in degrees is between 270° and 360°.  

The "radians to degrees" conversion factor is (180°/pi), and so

5pi/3 radians works out to:

5pi/3 · 180°       5· 180°

----------------- = ---------- = 300°

          3 pi             3

Answer:

D. K

Step-by-step explanation:

A B C D E F G H I J K L M… then we compare with the pattern. the pattern is A C E G I. note that after each alphabet, the natural next alphabet in line is skipped like a C after A skipping the B and then E after C skipping the D, and so on. thus, the next in the pattern would be K, and we will skip J. so the pattern goes like this A,C,E,G,I,K,M…

The type of study design used in the scenario you provided is a retrospective cohort study. (option b).

In this study, the researcher selected a group of 14-year-old girls and looked back in time to compare their previous dietary habits and exposures between those who had already started having monthly periods and those who had not.

It is important to note that this study design has some limitations. For instance, the researcher is relying on self-reported data from the girls, which may not always be accurate.

This study design involves selecting a group of individuals and looking back in time to compare their exposures or characteristics between those who developed the outcome of interest and those who did not. By identifying potential risk factors, the researcher can gain insights into the onset of early menses in 14-year-old girls.

Hence the correct option is (b).

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Complete Question:

Which type of study design is used in the following scenario: A researcher interested in the onset of early menses compared 1,000 14-year-old girls, half of whom had already begun to have monthly periods and half of whom had not. The girls were interviewed regarding previous exposures. including their prior dietary habits.

a) Prospective cohort study

b) Retrospective cohort study

c) Case-control study

d) Clinical trial

e) None of the answers listed

z =  -2.114, test statistic used to test the claim that fewer than 90% of the company employees opted to work from home at least one day a week at the 5% significance level.

A result of a statistical test of a hypothesis is a number known as the test statistic. It displays how closely the distribution predicted by your observed data fit the null hypothesis of that statistical test.

The p value of your findings, which aids in determining whether to accept or reject your null hypothesis, is calculated using the test statistic.

P = \(\frac{x}{n}\)

= \(\frac{36}{41}\)

1 - P₀ = 1 - 0.95 = 0.05

Test statistic= z

=P - P₀ / {√P₀ * (1 - P₀)/ n}

=0.8780 - 0.95 /√(0.95 * 0.05) / 41

z = -2.114

Test statistic used to claim that is, z = -2.114 .

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