Please answer this correctly

Answer:

2

Step-by-step explanation:

We already have the zeros, so we can write the cubic polynomial in this general form:

[tex]y = a(x - x_1)(x - x_2)(x - x_3)[/tex]

Where:

[tex]x_1 = 5[/tex]

[tex]x_2 = 5i[/tex]

[tex]x_3 = -5i[/tex]

So we have that:

[tex]y = a(x -5)(x - 5i)(x + 5i)[/tex]

[tex]y = a(x -5)(x^2 + 25)[/tex]

To find the value of the leading coefficient 'a', we can use the point (1, -208) given:

[tex]-208 = a(1 -5)(1 + 25)[/tex]

[tex]-208 = a(-4)(26)[/tex]

[tex]a = -208 / (-104) = 2[/tex]

So the leading coefficient is 2.

its congruent by HL or RHSaxiom

Answer:

HL

Step-by-step explanation:

[tex] In\: right \triangle 's DAB \: \&\: CBA\\

\angle DAB \cong \angle CBA... (each 90\degree) \\ hypotenuse \: DB \cong hypotenuse \: CA. (given) \\

side AB \cong side BA.. (common) \\

\therefore \triangle DAB \cong \triangle CBA.. (By \: RHS\: or \: HL \: Postulate) [/tex]

Answer:

The results of the hypothesis test suggests that there is no difference in productivity level of two warehouses (East Coast and the Midwest Coast).

p-value = 0.0473

Step-by-step explanation:

To perform this test we first define the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, we want to test if there is a difference in productivity level of the two warehouses (East Coast and the Midwest Coast).

Hence, the null hypothesis would be that there isn't significant evidence to suggest that there is a difference in productivity level of two warehouses (East Coast and the Midwest Coast). That is, there is no difference in the productivity level of two warehouses (East Coast and the Midwest Coast).

The alternative hypothesis is that there is significant evidence to suggest that there is a difference in productivity level of two warehouses (East Coast and the Midwest Coast).

Mathematically, if the average productivity level of the East Coast group is μ₁, the average productivity level of the Midwest group is μ₂ and the difference in productivity level is μ = μ₂ - μ₁

The null hypothesis is represented as

H₀: μ = 0 or μ₂ = μ₁

The alternative hypothesis is represented as

Hₐ: μ ≠ 0 or μ₂ ≠ μ₁

So, to perform this test, we need to compute the test statistic

Test statistic for 2 sample mean data is given as

Test statistic = (μ₂ - μ₁)/σ

σ = √[(s₂²/n₂) + (s₁²/n₁)]

μ₁ = average productivity level of the East Coast group = 1299 parts shipped

n₁ = sample size of East Coast group surveyed = 35

s₁ = standard deviation of the East Coast group sampled = 350

μ₂ = average productivity level of the Midwest group = 1456 parts shipped

n₂ = sample size of Midwest group surveyed = 35

s₂ = standard deviation of the Midwest group sampled = 297

σ = √[(297²/35) + (350²/35)] = 77.5903160379 = 77.59

We will use the t-distribution as no information on population standard deviation is provided

t = (1456 - 1299) ÷ 77.59

= 2.02

checking the tables for the p-value of this t-statistic

Degree of freedom = df = n₁ + n₂ - 2 = 35 + 35 - 2 = 68

Significance level = 0.01

The hypothesis test uses a two-tailed condition because we're testing in both directions.

p-value (for t = 2.02, at 0.01 significance level, df = 68, with a two tailed condition) = 0.047326

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.01

p-value = 0.047326

0.047326 > 0.01

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say that there isn't enough evidence to suggest that there is a difference in productivity level of two warehouses (East Coast and the Midwest Coast).

Hope this Helps!!!

Answer:

56 46 38 2 12

Step-by-step explanation:

We assume that we need to simplify the expression in two different ways.

Answer:

One way: Raise both, the numerator and denominator, to the third power, and then simplify the expression.

Second way: Simplify the terms inside parentheses, and then raise the result to the third power.

The result of both ways is the same: [tex] \\8x^{9}[/tex]

Step-by-step explanation:

One way

Raise both, the numerator and denominator, to the third power, and then simplify the expression:

[tex] \\ (\frac{4x^{5}}{2x^{2}})^{3}[/tex]

[tex] \\ (\frac{64x^{5*3}}{8x^{2*3}})[/tex]

[tex] \\ (\frac{64x^{15}}{8x^{6}})[/tex]

[tex] \\ \frac{64}{8}\frac{x^{15}}{x^{6}}[/tex]

[tex] \\8x^{9}[/tex]

This is the first simplification.

Second way

Simplify the terms inside parentheses, and then raise the result to the third power.

[tex] \\ (\frac{4x^{5}}{2x^{2}})^{3}[/tex]

[tex] \\ (\frac{4}{2}*\frac{x^{5}}{x^{2}})^{3}[/tex]

[tex] \\ (2*x^{5-2})^{3}[/tex]

[tex] \\ (2*x^{3})^{3}[/tex]

[tex] \\ (2^{3}*x^{3*3})[/tex]

[tex] \\ (8*x^{9})[/tex]

or [tex] \\ 8x^{9}[/tex].

Answer:The first one

Step-by-step explanation:

V rectangular prism = Area of the base *5

Answer:

slope is m=1. y-intercept is -1

Answer:

Slope is 1 and intercept is -1. Slope can be found by taking the rise and run of 2 points on a graph. and intercept is just when x = 0

Answer:

9.110434

Step-by-step explanation:

√83 ≈ 9.110434

Answer: 11:16

Step-by-step explanation: 11 ounces of blue paint: the total number ounces of paint (adding blue and yellow)

Answer:

5:16

Step-by-step explanation:

The amount of blue paint is 5 oz

The total amount of paint is 16 oz

Make these numbers a ratio of blue to total

Answer:

The height of triangle is 12cm.

The base of triangle is 25 cm.

The area of triangle is 150cm².

Step-by-step explanation:

Given that the area of triangle is Area = 1/2×base×height. So you have to substitute the values into the formula :

[tex]area = \frac{1}{2} \times base \times height[/tex]

[tex]let \: base = 25 \\ let \: height = 12[/tex]

[tex]area = \frac{1}{2} \times 25 \times 12[/tex]

[tex]area = \frac{1}{2} \times 300[/tex]

[tex]area = 150 \: {cm}^{2} [/tex]

Answer:

x = 4

Step-by-step explanation:

Answer:

Every decade, the number of species decays by a factor of 0.0834.

Step-by-step explanation:

Let be [tex]S(t) = 25,000,000\cdot 0.78^{t}[/tex], [tex]\forall t \geq 0[/tex]. The decay rate per decay is deducted from the following relation:

[tex]\frac{S(t+10)}{S(t)} = \frac{25,000,000\cdot 0.78^{t+10}}{25,000,000\cdot 0.78^{t}}[/tex]

[tex]\frac{S(t+10)}{S(t)} = 0.78^{t+10-t}[/tex]

[tex]\frac{S(t+10)}{S(t)} = 0.78^{10}[/tex]

[tex]\frac{S(t+10)}{S(t)} = 0.0834[/tex]

Every decade, the number of species decays by a factor of 0.0834.

Answer:

28% subtracted

Step-by-step explanation:

khan

Answer:

676

Step-by-step explanation:

Convert the percentage to a decimal.

30% = 0.3

Multiply the number by the decimal.

520 × 0.3 = 156

Add this number by the number given.

520 + 156 = 676

Answer:

5

Step-by-step explanation:

[tex] \because \triangle ACB \cong \triangle DCE... (given) \\

\therefore \angle A \cong \angle D... (c.a.c.t)\\

\therefore m\angle A = m\angle D\\

\therefore 50\degree = 10x\\\\

\therefore x = \frac{50\degree}{10}\\\\

\huge \orange {\boxed {\therefore x = 5\degree}} [/tex]

Answer:

20*19*18 = 6840

UNLESS...............  

he is allowed to ride the same ride again , over and over....  

then it is 20 x 20 x 20 = 8000

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

I used Desmos

We will see that the y-intercept of g(x) is larger than the y-intercept of f(x).

For a function y = f(x), the y-intercept is the value that takes y when we evaluate in x = 0.

So, for the first function:

[tex]f(x) = (1/5)*|x - 15|[/tex]

The y-intercept is:

[tex]f(0) =  (1/5)*|0 - 15| = 15/5 = 3[/tex]

For the second function:

[tex]g(x) = (x - 2)^2[/tex]

The y-intercept is:

[tex]g(0) = (0 - 2)^2 = (-2)^2 = 4[/tex]

Then we can see that g(x) has a greater y-intercept than f(x).

If you want to learn more about y-intercepts:

https://brainly.com/question/1884491

#SPJ2

Answer:

(1,1)

Step-by-step explanation:

x=1

y=1

6(1) + 1=7

6+1=7

Answer:

x=1, y=1

Step-by-step explanation:

Answer:

7.22?

Step-by-step explanation:

If [tex]a = 0[/tex], then [tex]y = ax^2+bx+c[/tex] turns into [tex]y = 0x^2+bx+c[/tex]. That [tex]0x^2[/tex] term goes away because it turns into 0, and adding 0 onto anything does not change the expression.

So  [tex]y = 0x^2+bx+c[/tex] turns into [tex]y = bx+c[/tex] which is a linear equation (b is the slope, c is the y intercept). It is no longer a quadratic as quadratic equations always graph out a curved parabola.

As an example, you could graph out [tex]y = 0x^2+3x+4[/tex] and note how it's the exact same as [tex]y = 3x+4[/tex], both of which are straight lines through the two points (0,4) and (1,7).

Answer:

35/42 = b/7    and b= 35/6

Step-by-step explanation:

Our base is unkhown so it will be the variable in our equation :

so b is 35/6 cm

Answer: 4 wholes and 1/5 is 4.20 and you need something greater than that but less than 4.25 which still has only 2 decimals.

Answer:

work is shown and pictured

answer is c

Answer:

the correct answer among the choices is C

Step-by-step explanation:

Answer:

99% one-sided lower confidence bound = 26.77

Step-by-step explanation:

We have to calculate a 99% one-sided lower confidence bound for the population variance.

The sample size is n=25.

The degrees of freedom are then:

[tex]df=n-1=25-1=24[/tex]

The critical value of the chi-square for this confidence bound is:

[tex]\chi^2_{0.01, \,24}=42.98[/tex]

Then, the lower confidence bound can be calculated as:

[tex]LB=\dfrac{(n-1)s^2}{\chi^2_{0.01,24}}=\dfrac{24\cdot(6.9)^2}{42.98}=\dfrac{1,142.64}{42.68}=26.77[/tex]

Answer:

Result = 9b/25 or 36b/100

Step-by-step explanation:

The number is b

step 1

b is decreased by 40%

value of 40% of b = 40/100 *b = 4b/10

New value after this change = b - 40% decreased value of b = b -4b/10

= (10b-4b)/10 = 6b/10

Step 2 The new value obtained is again decreased by 40%

value of 40%  number found in step 1 =  40% of value found in step 1

value of 40%  number found in step 1 =  40/100 * 6b/10 = 24b/100

This value (24b/100) is subtracted from value found in step 1(6b/10) as given that  value obtained is decreased by 40%

new value found after 40% decrease = 6b/10 - 24b/100

new value found after 40% decrease = 60b/100 - 24b/100= 36b/100

new value found after 40% decrease =  36b/100 = 9b/25

Thus, the result of b is decreased by 40% and decreased again by 40% is 9b/25

Answer:

13

Step-by-step explanation:

factors of 13 : 1, 13

factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

factors of 49: 1, 7, 49

factors of 65: 1, 5, 13, 65

factors of 87: 1, 3, 29, 87

Answer:

C - 3 (negative 64 divided by 8) + 25 =1

Step-by-step explanation:

Answer:

C is correct answer

Step-by-step explanation:

Answer:

3 meters

63 meters

Step-by-step explanation:

In order for his two breaks to occur after even distances, simply divide his total path in three:

[tex]B = \frac{9}{3}\\ B=3\ meters[/tex]

He will reach his first break after 3 meters.

If he can only take 9 pieces at a time the number of trips required is:

[tex]n=\frac{36}{9}\\ n=4[/tex]

Note that he will have to back to the back yard for the first three trips (traveling back the 9 meters path). The total distance traveled is:

[tex]d= 3*(9+9)+9\\d=63\ meters[/tex]

He will travel 63 meters.

Answer:

Negative Binomial

Step-by-step explanation:

The girl receives only 5% of mail which are addressed to her. Rest of 95% mails belong to other family members.

P (X) = 5%

P (X) = 95 / 5

P (X) = 19

The family receives 19 mails out of which only 5% will address the girl. The all other mails belong to the other family members.

Multiply both sides of the ODE

[tex]x'+2tx+5t[/tex]

by [tex]e^{t^2}[/tex]:

[tex]e^{t^2}x'+2te^{t^2}x=5te^{t^2}[/tex]

Now the left side can be condensed as the derivative of a product:

[tex]\left(e^{t^2}x\right)'=5te^{t^2}[/tex]

Integrate both sides, then solve for x :

[tex]e^{t^2}x=\dfrac52e^{t^2}+C[/tex]

[tex]\implies x(t)=\dfrac52+Ce^{-t^2}[/tex]

Given that x(0) = 8, we find

[tex]8=\dfrac52+Ce^0\implies C=\dfrac{11}2[/tex]

so that the particular solution to this IVP is

[tex]\boxed{x(t)=\dfrac{5+11e^{-t^2}}2}[/tex]

Answer:

3 8/9

Step-by-step explanation:

1.) Convert each fraction from a mixed number to a improper fraction (to do that multiply the denominator with the whole number then add the numerator, the improper fraction denominator will remain the same as the mixed number denominator):

14/3 ÷ 6/5

2.) Solve

a. To divide the fractions, Flip the reciprocal, and multiply the fractions

14/3 x 5/6

b. Check if you can reduce the numbers, which you can 14 and 6 can be both divided by 2:

7/3x5/3

c. Multiply fractions (simply by multiplying across):

35/9

3.) Simplify numbers into mixed fraction (or decimal):

3 8/9