[The question is in the photo]

Answer:

-5x(x^2 + 2x + 3)

Explanation:

-5x is the highest common factor of all terms in the polynomial

-5x^3 - 10x^2 - 15x = -5x(x^2 + 2x + 3)

Answer:

3[tex]x^{2}[/tex] -2x +5=0

Step-by-step explanation:

Combine liked terms:

3[tex]x^{2}[/tex]+5x+x-1x+6+2=7x+3

3[tex]x^{2}[/tex]+6x-1x+8=7x+3

3[tex]x^{2}[/tex]+5x+8=7x+3

Subtract 3: 3[tex]x^{2}[/tex]+5x+8-3=7x+3-3

3[tex]x^{2}[/tex]+5x+5=7x

Now subtract 7x:

3[tex]x^{2}[/tex]+5x+5-7x=7x-7x

If you want combine liked terms:

3[tex]x^{2}[/tex]-7x+5x+5=0

3[tex]x^{2}[/tex]-2x+5=0

Hope this helps!

Answer: 1.684

Step-by-step explanation:

since sample size (n) is 41

confidence level = 0.90 = 90%

df = n - 1

df = 41 - 1

df = 40

that is For Degrees of Freedom = 40

significance level α = 1 - (confidence level / 100)

Significance Level α = 1 - (90/100 ) =  0.10

using the z-score

critical values of t = 1.684

A graph has been attached to further assist.

Answer:

85%

Step-by-step explanation:

If 30 of them have their own lawn service then that means 170 of them do not have their own lawn service.

Seeing as there are 200 houses in total, the fraction of people who don't have lawn service is 170/200. This is equal to 0.85 or 85%.

Answer:

Step-by-step explanation:

the houses do not have their own lawn service:

200-30=170

percentage=170/200=0.85 0r 85%

Answer:

A

Step-by-step explanation:

First, we can change the equation into y = mx + b form:

y - 3x = -14

y = 3x - 14

Now, we can just replace y with g(x):

g(x) = 3x - 14

Answer:

y=5 or y=-4

Step-by-step explanation:

6y - 3| + 8 = 35

|6y-3|=35-8

|6y-3|=27

either 6y-3=-27 then 6y=27+3

y=30/6=5

or 6y-3=-27

6y=-27+3

y=-24/6

y=-4

Answer:

The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.

Step-by-step explanation:

The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.

We reject the null hypothesis if the p-value of a statistic is lower than the level of significance α.

And we fail to eject the null hypothesis if the p-value of a statistic is greater than the level of significance α.

A lower p-value indicates that the result is statistically significant.

And a higher p-value indicates that the result is not statistically significant.

Answer:

A sample of 385 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How large a sample:

We need a sample of n.

n is found when M = 0.05.

We dont know the true proportion, so we work with the worst case scenario, which is [tex]\pi = 0.5[/tex]

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.05}[/tex]

[tex](\sqrt{n})^{2} = (\frac{1.96*0.5}{0.05})^{2}[/tex]

[tex]n = 384.16[/tex]

Rounding up

A sample of 385 is needed.

Answer:

60 of 24 dollars each and 50 of 25 dollars

Step-by-step explanation:

x= 24 dollars

110 shares, total x at 24 dollars each

110-x at 25 dollars each

24x+25 (110-x)=2690

24x+ 2750 - 25x= 2690

-1x= -60

x= 60

24 multiplied by 60 =1440

2690-1440 =1250

1250 / 25 = 50

can u vote me as brainliest ?

Answer:

[tex]slope:1/8y-intercept:-7\\COORDINATES(x,-7)\\\\(56,0)[/tex]

Step-by-step explanation:

Answer:

c) 0.62

Step-by-step explanation:

In this case, we are required to find the partial correlation, [tex] r_Y_X_1_|_X_2[/tex].

To find the partial correlation, use the formula:

[tex] r_Y_X_1_|_X_2 = \frac{r_Y_X_1 - r_Y_X_2 * r_X_1_X_2}{\sqrt{1 - r_X_1_X_2}^2 - \sqrt{1 - r_Y_X_2}^2} [/tex]

[tex] r_Y_X_1_|_X_2 = \frac{0.64 - 0.72 * 0.32}{\sqrt{1 - 0.32}^2 - \sqrt{1 - 0.72}^2} [/tex]

[tex] = \frac{0.410}{0.657}[/tex]

[tex] r_Y_X_1_|_X_2 = 0.62 [/tex]

The partial correlation is 0.62.

Option C

Answer:

99.48% probability that the sample mean would be greater than 64.8 kilograms.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation(which is the square root of the variance) [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

[tex]\mu = 67, \sigma = \sqrt{121} = 11, n = 164, s = \frac{11}{\sqrt{164}} = 0.86[/tex]

What is the probability that the sample mean would be greater than 64.8 kilograms?

This is 1 subtracted by the pvalue of Z when X = 64.8.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{64.8 - 67}{0.86}[/tex]

[tex]Z = -2.56[/tex]

[tex]Z = -2.56[/tex] has a pvalue of 0.0052

1 - 0.0052 = 0.9948

99.48% probability that the sample mean would be greater than 64.8 kilograms.

Answer: 4.21596 x 10⁴⁷

Step-by-step explanation:

  (3.346 x 10²⁶) (1.26 x 10²¹)

= (3.346 x 1.26) x 10²⁶⁺²¹

= 4.21596 x 10⁴⁷

Answer:

P = 250(1 - 0.12)^t

Step-by-step explanation:

Since it is a decrease in population, we have 1 minus the rate. Since we start out with 250, we have 250 times 1 minus the rate. Since we are dealing with annual loss, we get 250(1 - 0.12)^t.

250 - starting population

1 - rate (0.12) - decreasing rate

t - time elapsed

Answer: p = 250(0.88)^t

Answer:

LCL = 59.26 to two decimal places

Step-by-step explanation:

Here, we want to estimate the LCL of the population mean with 90% confidence

We proceed as follows;

Given alpha = 0.1, then Z(0.05)=1.645 (from standard normal table), s = 15

Mathematically;

LCL =x_bar -Z*s/√( n)= 62 - (1.645 * 15)/√81

LCL = 62- (24.675)/9 = 59.2583

LCL = 59.26 to two decimal places

Answer:

[tex]\text{The implicit solution:} \frac{1}{81} e^{9x}(9x - 1) + \frac{3}{e^t} = C[/tex]

Step-by-step explanation:

It is given that there is arbitrary constant C and we have to find the implicit solution. Therefore, first separate the variable that is given in equation and then use integration to find the implicit solution. Here, below is the calculation.

 The given equation is:

[tex]\frac{dx}{dt} = \frac{3}{xe^{t-9x}}[/tex]

Now, if we use separation of variable.

[tex]\frac{dx}{dt} = \frac{3}{xe^{t-9x}} \\\frac{dx}{dt} = \frac{3}{xe^{9x}e^{t}} \\xe^{9x}dx = \frac{3}{e^{t}}dt \\[/tex]

Now integrate both side:

[tex]\int xe^{9x} dx = \int \frac{3}{e^{t}} dt \\\frac{e^{9x}}{9}(x) - \int \left [ \frac{e^{9x}}{9} \right]dx = -3e^{-t} + C \\[/tex]

[tex]\frac{xe^{9x}}{9} - \frac{e^{9x}}{81} = -3e^{-t} + C \\\frac{1}{81} e^{9x}(9x - 1) + \frac{3}{e^t} = C \\[/tex]

Thus, the implicit solution is:

[tex]\frac{1}{81} e^{9x}(9x - 1) + \frac{3}{e^t} = C[/tex]

Answer:

It approaches 1

Step-by-step explanation:

f(x)=1

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Trigonometry.

so here, we gonna use the cosine ratios.

so here, we also use the Pythagoras Theorem.

[tex] {h}^{2} + {k}^{2} = {r}^{2} [/tex]

so we here, we get

h= 1 ,

[tex]h = 1 \: r = 2 \: k = \sqrt{3} \: \\ \alpha = 60 \: \beta = 30[/tex]

Answer:

i think its 1259712.

Step-by-step explanation:

when we find3^3 and 6^6 we get, 27×46656

and by multiplying them we get, 1259712...

is answer

Answer:

  1,259,712

Step-by-step explanation:

Follow the order of operations, evaluating exponents first:

  3^3 × 6^6 = 27 × 46,656 = 1,259,712

_____

When in doubt, the Google calculator can be relied upon to follow the order of operations. (Use an asterisk (*) for multiplication.)

=======================================================

Work Shown:

The horizontal portion is 400+166 = 566 feet. Label this as 'a', so a = 566. The vertical side is unknown, so b = x. The hypotenuse is c = 965

Use the pythagorean theorem

a^2+b^2 = c^2

566^2+x^2 = 965^2

x^2 = 965^2 - 566^2

x = sqrt( 965^2 - 566^2 )

x = 781.58108984289 which is approximate

x = 781.6 feet when rounding to one decimal place

Answer:

c. has 12 hours of day and 12 hours of night for all locations

Step-by-step explanation:

The equinox is the time of the year marked by a nearly equal length of day and night. This word has a Latin root meaning which stands for equality, hence the word 'equinox'. It usually falls on March 21, and September 23 of every year. On these days the sun is above the equator.

The equinox which occurs around September happens in the Northern Hemisphere and is also known as the Fall or Autumnal equinox. Whereas, the equinox which occurs at the Southern Hemisphere is also known as the Spring or Vernal equinox. During an equinox, the tilt of the earth is perpendicular to the sun.

Answer:

The Answer is A. a cylinder                          

The square must be on the y axis in some way, and the square must be oriented such that its sides are parallel to the x and y axis. Rotating said square around the y axis will form a cylinder. Think of a revolving door. The door is the square while it sweeps out a 3D cylinder shape/space as it rotates around. Another example would be a fan or turbine that rotates in a similar fashion.

Answer:

30.7i + 135.9j + 53.4k

Step-by-step explanation:

The ' horizontal ' may act as the x - axis in this case, the airplane taking off at an angle of 173 cos 18 respective to this x - axis. Respectively it travels restricted to an angle of 173 sin 18 from the y - axis. The following shows this angle at vector( s ) j and k relative to the air -

j - ( 173 cos 18 ),

k - ( 173 sin 18 )

Thus, one can assume such -

[tex]0i + ( 173 cos 18 )j + ( 173 sin 18 )k[/tex]

Knowing that, this second bit here should be similar to the first bit above, given that the wind is now blowing  with a velocity of 42 miles per hour at an angle of 47 degrees. Therefore, j = 42 cos 47, i = 42 sin 47 -

[tex]( 42 sin 47 )i + ( 42 cos 47 )j + 0k[/tex]

Adding the two we should get the following -

[tex]30.7i +135.9j + 53.4k[/tex]

Answer:

  30.72i+ 135.89j +53.46k

Step-by-step explanation:

If we measure angle φ up from the horizontal and angle θ CCW from east, the direction vector of the airplane at take-off is ...

  (ρ, θ, φ) = (173 mph, 90°, 18°)

The rectangular expression of this vector will be ...

  (ρ·cos(θ)·cos(φ), ρ·sin(θ)·cos(φ), ρ·sin(φ)) = (0, 164.53, 53.46) . . . mph

__

The wind vector is ...

  (ρ, θ, φ) = (42, -43°, 0°) ⇒ (30.72, -28.64, 0) . . .  mph

And the rectangular coordinate sum of these vectors is ...

  (0, 164.53, 53.46) +(30.72, -28.64, 0) = (30.72, 135.89, 53.46)

The resultant velocity vector of the airplane is ...

  30.72i+ 135.89j +53.46k

Answer:

W+6 = Y.

Or

Y -6 = W

Step-by-step explanation:

Let's call the length of the rectangle L.

And let W represent the width of the rectangle.

Let's write an expression to determine the width of the rectangle relative to the length of the rectangle.

From the question, the width W is 6 less than the length L of the rectangle.

It means the length is greater than the width with 6 units.

The expression is

W+6 = Y.

Or

Y -6 = W

Answer:4541(Rounded) 4541.99779(Unrounded)

Step-by-step explanation:

A= P(1 + r)^T

A= answer

P=principle(amount of money)

r=Rate(percent / 100)

T=Time(Annually)

1030(1 + .077)^20

Brainliest would be appericiated!

Answer:

685

Step-by-step explanation:

today: 860

in 1 year: 860 - 35 = 825

in 2 years: 825 - 35 = 790

in 3 years: 790 - 35 = 755

in 4 years: 755 - 35 = 720

in 5 years: 720 - 35 = 685

Answer:

The first one

Step-by-step explanation:

Took the test

Answer: 1/10 of the store's total sales last month were in appliances (lower right corner)

Step-by-step explanation:

Let's go through the four possible answers

In the upper left corner it says "Total mobile phone sales is likely 27,000" which is a paraphrase of what is given. The chart gives 9000 as the phone sales for that one particular store. If all stores are identical in performance, then we have 4*9000 = 36000 in total mobile phone sales. Of course, it's impossible to know for sure how the other stores did. So we can eliminate this as one of the answers.

In the upper right corner, it says "13% of the stores sales was in car electronics" (also paraphrased). We have 13 thousand in car electronics out of 17+13+6+9+15 = 60 thousand total. Divide the two values: 13/60 = 0.2167 = 21.67% approximately. So we can eliminate this as an answer.

In the lower left corner, it says "the total sales is likely greater than $300,000" but we don't know for sure because again we don't have the other charts for the three other stores. Assuming the four stores perform the same, then we'd have 4*60 = 240 thousand as the total and not 300 thousand. It's safe to say we can eliminate this as an answer.

In the lower right corner, it says "1/10 of the stores sales were appliances". This statement is true. Why? Because 6 thousand is the sales figure for appliances out of 60 thousand total. Divide the values: 6/60 = 1/10. So this is why the lower right corner is the answer.