C. Polynomial functions: y = x4 - 3x2 - 3
Leading term
Leading coefficient :
Degree:​

Answer:

6 1/3 (19/3)

Step-by-step explanation:

if they sold 3 1/6 trays of cinnamon donuts and there were 1/2 as many chocolate donuts sold wed have to do

1/2 divided by 3 1/6

3 1/6 - 19/6

1/2 divided by 19/6 = 6 1/3

hope this helped! <3

Answer:

6 1/3 (19/3)

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Just took the test

Step-by-step explanation:

12 = 7/2 (5x+2)

12=3.5(5x+2)

12=17.5x+7

12-7=17.5x

5/17.5=x

2/7=x

Answer:

The answer is x=[tex]\frac{2}{7}[/tex]

Explanation:

1)12 = 7/2 (5x+2)

2)12=3.5(5x+2)

3)12=17.5x+7

4)12-7=17.5x

5)5/17.5=x

And then your final answer is x=[tex]\frac{2}{7}[/tex]

Answer:

i have ans above. please try again yourself.

Answer:

Approximately [tex]0.038[/tex] (or equivalently [tex]3.8\%[/tex],) assuming that whether each resident owns boats is independent from one another.

Step-by-step explanation:

Assume that whether each resident of this town owns boats is independent from one another. It would be possible to model whether each of the [tex]n = 100[/tex] selected residents owns boats as a Bernoulli random variable: for [tex]k = \lbrace 1,\, \dots,\, 100\rbrace[/tex], [tex]X_k \sim \text{Bernoulli}(\underbrace{0.13}_{p})[/tex].

[tex]X_k = 0[/tex] means that the [tex]k[/tex]th resident in this sample does not own boats. On the other hand, [tex]X_k = 1[/tex] means that this resident owns boats. Therefore, the sum [tex](X_1 + \cdots + X_{100})[/tex] would represent the number of residents in this sample that own boats.

Each of these [tex]100[/tex] random variables are all independent from one another. The mean of each [tex]X_k[/tex] would be [tex]\mu = 0.13[/tex], whereas the variance of each [tex]X_k\![/tex] would be [tex]\sigma = p\, (1 - p) = 0.13 \times (1 - 0.13) = 0.1131[/tex].

The sample size of [tex]100[/tex] is a rather large number. Besides, all these samples share the same probability distribution. Apply the Central Limit Theorem. By this theorem, the sum [tex](X_1 + \cdots + X_{100})[/tex] would approximately follow a normal distribution with:

[tex]11\%[/tex] of that sample of [tex]100[/tex] residents would correspond to [tex]11\% \times 100 = 11[/tex] residents. Calculate the [tex]z[/tex]-score corresponding to a sum of [tex]11[/tex]:

[tex]\begin{aligned}z &= \frac{11 - 13}{1.131} \approx -1.77 \end{aligned}[/tex].

The question is (equivalently) asking for [tex]P( (X_1 + \cdots + X_{100}) < 11)[/tex]. That is equal to [tex]P(Z < -1.77)[/tex]. However, some [tex]z[/tex]-tables list only probabilities like [tex]P(Z > z)[/tex]. Hence, convert [tex]P(Z < -1.77)\![/tex] to that form:

[tex]\begin{aligned} & P( (X_1 + \cdots + X_{100}) < 11) \\ &= P(Z < -1.77) \\ &= 1 - P(Z >1.77) \end{aligned}[/tex].

Look up the value of [tex]P(Z > 1.77)[/tex] on a [tex]z[/tex]-table:

[tex]P(Z > 1.77) \approx 0.962[/tex].

Therefore:

[tex]\begin{aligned} & P( (X_1 + \cdots + X_{100}) < 11) \\ &= 1 - P(Z >1.77) \\ &\approx 1 - 0.962 = 0.038 \end{aligned}[/tex].

Answer:

0.276

Step-by-step explanation:

got it right on edge

Answer:

840 in^2

Step-by-step explanation:

If the base is square and the side length is 10 inches, the areas of the base and of the top combined is 2(100 in^2).

The height of the prism comes from dividing the volume, 1600 in^3, by the area of the base, 100 in^2:  It is 16 in.  Then the combined areas of the four sides of the prism is 4(160 in^2).

The total surface area of the prsim is then 640 in^2 + 200 in^2, or 840 in^2.

Answer:

The new triangle will have a perimeter of 36 cm, and an area of 18 cm2.

Step-by-step explanation:

Given that the triangle whose perimeter is 12 cm and its surface is 6 cm2, and is lengthened by a scale factor of 3 to produce a similar triangle, the perimeter and surface of the new triangle arise from the following calculation:

Perimeter = 12 x 3 = 36 cm

Area = 6 x 3 = 18 cm2

Thus, the new triangle will have a perimeter of 36 cm, and an area of 18 cm2.

Answer:

[tex]\displaystyle x=\frac{\log 3}{\log(3)-\log 2}\approx 2.71[/tex]

Step-by-step explanation:

Logarithms

We need to recall these properties of logarithms:

[tex]\log_ax^n=m\log_ax[/tex]

[tex]\log_a(xy)=\log_a(y)+\log_a(y)[/tex]

The equation to solve is:

[tex]3^x=3*2^x[/tex]

Applying logarithms:

[tex]\log(3^x)=\log(3*2^x)[/tex]

Applying the exponent property on the left side and the product property on the right side:

[tex]x\log(3)=\log 3+\log 2^x[/tex]

Applying the exponent property:

[tex]x\log(3)=\log 3+x\log 2[/tex]

Rearranging:

[tex]x\log(3)-x\log 2=\log 3[/tex]

Factoring:

[tex]x(\log(3)-\log 2)=\log 3[/tex]

Solving:

[tex]\boxed{\displaystyle x=\frac{\log 3}{\log(3)-\log 2}}[/tex]

Calculating:

[tex]\mathbf{x\approx 2.71}[/tex]

Answer:

88 feet

Step-by-step explanation:

6x13=78 (rectangle)

13-8=5 (length of triangle)

10-6=4 (height of triangle)

5x4/2=10 (triangle)

Answer:

$360

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

360 beacause i used the elesation point so i can get my answer and than i used another method that m teacher uses and my teacher told me when we do that it will take a long time to do but thats what i got and did to get that question.

Answer:

16 ft, 8 ft

Step-by-step explanation:

Area of rectangle = 128 Sq ft

[tex](x + 7)(x - 1) = 128 \\ \\ {x}^{2} - x + 7x - 7 = 128 \\ \\ {x}^{2} + 6x - 7 - 128 = 0 \\ \\ {x}^{2} + 6x - 135 = 0 \\ \\ {x}^{2} + 15x - 9x - 135 = 0 \\ \\ x(x + 15) - 9(x + 15) = 0 \\ \\ (x + 15)(x - 9) = 0 \\ \\ x + 15 = 0 \: \: or \: \: x - 9 = 0 \\ \\ x = - 15 \: or \: \: x = 9 \\ \\ \because \: side \: of \: a \: rectangle \: can \: not \: \\ be \: negative \\ \\ \implies \: x \neq - 15 \\ \\ \implies \: x = 9 \\ \\ \red{ \bold{x + 7 = 9 + 7 = 16}} \\ \\ \purple{ \bold{ x - 1 = 9 - 1 = 8}}[/tex]

Thus, the dimensions of the rectangle are 16 ft and 8 ft.

Answer:

24,144,864,5184,31104

Step-by-step explanation:

Answer:

B. y=4x+27

Step-by-step explanation:

Currently, this equation is written is point-slope form, so we need to change it to slope-intercept form, which looks like this: y=mx+b.

y+5=4(x+8)   Distribute.

y+5=4x+32   Subtract 5 on both sides.

  -5       -5

y=4x+27

Therefore, the answer is B.

Hope this helps and have a nice day ^^

Answer:

D.2

Step-by-step explanation:

(-2y+2y)+(10-8)=2

the answer is D. 2

Step-by-step explanation:

the answer is d. 2

Answer:

A. He needs 18.7 yards of fencing to go all the way around the yard.

Answer

C

Step-by-step explanation:

There are 15 students ages 4 - 11, 15 x 6.50 = 97.50

There are 12 students aged 12 - 17, 12 x 8.50 = 102

102 + 97.50 = 199.50

Answer:

7

Step-by-step explanation:

a square's sides are all the same length.

since the area of the square is 49 square ints,

√(49)=7.

You can check this by doing 7(4)=28, since the perimeter is 28 units, and a square has 4 sides.

Answer:

No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to call the numbers x and y.

A number is equal to twice a smaller number plus 3.

Greater number is x, and smaller is y. So

[tex]x = 2y + 3[/tex]

The same number is equal to twice the sum of the smaller number and 1.

This means that [tex]x = 2y + 1[/tex]

Equaling the values for x:

[tex]2y + 3 = 2y + 1[/tex]

[tex]0y = -2[/tex]

[tex]y = -\frac{2}{0}[/tex]

Since division by 0 does not exist, it means that there is no solution for the system.

Answer:

95

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

x/12 =-3+2

x/12= -1

x = -12

Answer:

-12

Step-by-step explanation:

x/12 must equal -1 because -1 - 2 = -3.

-12 divided by 12 = -1

-12/12 - 2 = -2

Answer:

37000000000000 - 187000000000 = 36813000000000

Step-by-step explanation:

Use long subtraction to evaluate.

Hope this helps! Have a nice day!

Answer:

The aswer is 3.6813e13

Which is 368130000000000000

Answer:

y  =  0.6487 - x

Step-by-step explanation:

Given the data:

x: __ 6 __ 8 ____ 20 ___ 28 ____ 36

y: __ 2__  4 ____ 13 ____20 ____ 20

The regression equation obtained for the data given  using an online regression model calculator is :

Regression equation :

y  =  0.6487 - x

With

0.6487 being the intercept

x and y are the independent and dependent variables respectively

The slope of the regression equation = 1

Answer:

7.31

Step-by-step explanation:

According to the scenario, calculation of given data are as follows,

Sample mean (X) = 35

standard deviation (y) = 5.3

Sample size (n) = 60

Population mean (p) = 30

We can calculate test statistics by using following formula,

[tex]t = \frac{(x - p)}{\frac{y}{\sqrt{ n} } }[/tex]

By putting the value in equation, we get

[tex]t = \frac{(35 - 30)}{\frac{5.3}{\sqrt{ 60} } }[/tex]

t = 5 ÷ 0.684

t = 7.31

Hence, test statistics for the given data is 7.31.

Answer:

The height of the building in the scale drawing will be 3 in.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

In the drawing, each inch represents 250 feet. So how many inches will be needed to represent 750 feet?

1 inch - 250 feet

x inches - 750 feet

Applying cross multiplication:

[tex]250x = 750[/tex]

[tex]x = \frac{750}{250}[/tex]

[tex]x = 3[/tex]

So

The height of the building in the scale drawing will be 3 in.

Answer:

C)  y = -1/4x

Step-by-step explanation:

find slope by selecting two points -- I used (0, 0) and (-4, 1)

slope is the difference of the y-values:  1 - 0  =  1

divided by the difference of the x-values:  -4 - 0  = -4

slope = -1/4

the other thing you need to know is the y-intercept, which in this case is zero

so the equation is y = -1/4x

Answer:

Both equations, when we replace the solution, generate identities.

Step-by-step explanation:

We are given the following system:

y = x - 7

y = -4x + 3

We are given the following solution.

(2,-5).

First equation:

We have to show that when x = 2, y = -5. So

y = x - 7

-5 = 2 - 7

-5 = -5

So ok

Second equation

We have to show that when x = 2, y = -5. So

y = -4x + 3

-5 = -4(2) + 3

-5 = -8 + 3

-5 = -5

We generate both identities, so the solution is checked.

Answer:

-1 is the answer so B is the answer

Answer:

b is right

Step-by-step explanation: