Simplify to a single power of 6:

Answer:

17.89 ft

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

8^2 +16^2 = c^2

64+ 256 = c^2

320 =c^2

Taking the square root of each side

sqrt(320) = sqrt(c^2)

sqrt(64*5) = c

sqrt(64) sqrt(5) =c

8 sqrt(5) = c

17.88854382=c

17.89 ft

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A ladder is placed 8 feet away from a wall. The distance from the ground straight to the top of the wall is 16 feet.

so it is a right angle triangle

in a right angle triangle, According to the Pythagorean theorom,

\(\boxed{\sf{l^2+b^2=h^2 }}\)

where

The height of the ladder is \(\sf{8\sqrt{5} }\)

Answer:

A,B,D

Step-by-step explanation:

(A) is correct because 5*900+15*300>4000

(B) is correct because 15*900+5*300>4000

(D) is correct because C+P must be less than or equal to 25

The given number, 50, is an even number. This can be solved by the concept of Real number.

According to the definition of even numbers, a number is even if it is divisible by 2 with no remainder. In the case of 50, it can be divided evenly by 2 since 50 divided by 2 equals 25, with no remainder. Therefore, 50 is an even number.

To further illustrate, we can use the following formula to determine whether a number is even or odd:

n = 2k

Where n is the given number, and k is an integer. If n can be written in this form, it is even. If not, it is odd.

In the case of 50, we can rewrite it as:

50 = 2 x 25

Since 50 can be expressed as 2 multiplied by an integer (25), it satisfies the formula for even numbers. Therefore, 50 is an even number.

Therefore, the given number 50 is an even number since it is divisible by 2 without leaving any remainder.

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y=ax^4 + bx^3 + cx^2 + dx + e

Since a< 0 we know that it has to go to - infinity for x going to - infinity and x going to + infinity. That rules out choices B and C.

The maximum number of turning points a polynomial can have is n-1 where n is the degree of the polynomial

(turning points is change of direction)

The graph D has 5 turning points and the degree of the polynomial is 4 so it is not possible

A is your solution.

Answer:

I think its 4 over 5

Step-by-step explanation:

I searched it up :]

Answer:

x^2-19x+90

Step-by-step explanation:

For multiplying binomials, what you have to do is multiply the two terms from first set with both terms from the second set. For example, in this situation, you take x and multiply it with both x and -10, and then you take -9 and multiply it with both x and -10. You will end up with x^2-10x-9x+90. Finally, you have to combine the like terms and you would end up with x^2-19x+90.

Answer:

x^2 -19x + 90

Step-by-step explanation:

FOIL (first, outside, inside, last)

First - (x) (x) = x^2

Outside - (x) (-10) = -10x

Inside - (-9) (x) = -9x

Last - (-9) (-10) = 90

x^2 - 10x - 9x + 90

*simplify*

x^2 -19x + 90

Answer:

-5 , -1 , 0 , 1 , 3

Step-by-step explanation:

If u divide 327 by 55 u get 5.94545454545

Answer:

6

Step-by-step explanation

I may not be correct but I tried- since 327 divided by 55 is originally 5.945 you have to round that to the nearest tenth, after that you will be left with 5.9 and since I am going to assume that your answer has to be a whole number instead of a decimal you would also have to round that 5.9 to the nearest whole number and you would pretty much be left with 6, I am not the smartest one when it comes to math but I hope that this helped!

(i) The relationship between the OLS estimators of α₂ and ᵝ₂ can be determined by considering the relationship between the consumption function and the savings function. Since X = Y + Z, we can substitute this into the consumption function equation to obtain Y = α₁ + α₂(Y + Z) + e. Simplifying the equation, we get Y = (α₁/(1 - α₂)) + (α₂/(1 - α₂))Z + (e/(1 - α₂)). Comparing this equation with the savings function Z₁ = ᵝ₁ + ᵝ₂X + u₁, we can see that the OLS estimator of ᵝ₂ is related to the OLS estimator of α₂ as follows: ᵝ₂ = α₂/(1 - α₂).

(ii) The residual sum of squares (RSS) will not be the same for the two models of Y₁ = α₁ + α₂X₁ + e and Z₁ = ᵝ₁ + ᵝ₂X₁ + u₁. This is because the error terms e and u₁ are different for the two models. The RSS is calculated as the sum of squared differences between the observed values and the predicted values. Since the error terms e and u₁ are different, the predicted values and the residuals will also be different, resulting in different RSS values for the two models.

(iii) The R² terms of the two models cannot be directly compared. R² is a measure of the proportion of the total variation in the dependent variable that is explained by the independent variables. Since the consumption function and the savings function have different dependent variables (Y and Z, respectively), the R² values calculated for each model represent the goodness of fit for their respective dependent variables. Therefore, the R² terms of the two models cannot be compared directly.

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Answer:

I would say 30

Reasoning:

Because that thing your looking at is 180% degree angle and the other side is 90%. x is small it seems to be acute and I think 2x is about 60%.

If im incorrect im terribly sorry but at least my answer wasnt bad like the 1st guys

The length of a truck is an example of a continuous data set, and 20 feet is just one possible value within that range.

The given value, "a truck with a length of 20 feet," is an example of a continuous data set.

Continuous data refers to values that can take on any numerical value within a range, with no gaps or interruptions. In this case, the length of a truck can take on any value between 0 and some maximum length, with no gaps or interruptions in between.

In contrast, discrete data refers to values that can only take on certain specific values, usually integers. For example, the number of tires on a truck is a discrete data set because it can only take on integer values (e.g. 4, 6, 8).

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The probability that a sample of 1,000 voters would yield a sample proportion in favor of the candidate within 4 percentage points of the actual proportion is  98.6%.

We are given that the population proportion, p, is 0.6, and we want to find the probability that a sample of 1000 voters would yield a sample proportion within 0.04 of p. Let's first find the standard error of the sample proportion:

SE = √(p*(1-p) / n)

where p is the population proportion, 1-p is the proportion of voters who do not support the candidate, and n is the sample size.

Substituting the given values, we get:

SE = √(0.6 * 0.4 / 1000) = 0.01549193338

To find the probability that the sample proportion is within 0.04 of p, we can use the normal distribution and the z-score formula:

z = (sample proportion - p) / SE

where the sample proportion follows a normal distribution with mean p and standard deviation SE.

Substituting the values, we get:

z = (0.64 - 0.6) / 0.01549193338 = 2.590020246

z = (0.56 - 0.6) / 0.01549193338 = -2.590020246

Using a standard normal distribution table or calculator, we can find the area under the curve between z = -2.590020246 and z = 2.590020246 to be approximately 0.986.

Therefore, the probability that a sample of 1000 voters would yield a sample proportion within 0.04 of the actual proportion is approximately 0.986 or 98.6%.

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For the given matrix A, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. The determinant det(A) is 68.

To find the minors of a matrix, we need to find the determinants of the submatrices obtained by removing the row and column corresponding to the element of interest. In this case, the minors M13, M23, and M33 correspond to the determinants of the 2x2 submatrices obtained by removing the first row and the third column, second row and third column, and third row and third column, respectively.

To find the cofactors, we multiply each minor by a positive or negative sign based on its position in the matrix. The signs alternate starting with a positive sign for the top left element. In this case, the cofactors C13, C23, and C33 correspond to the minors M13, M23, and M33 respectively.

Finally, the determinant of a 3x3 matrix can be found by using the formula det(A) = a11C11 + a12C12 + a13C13, where a11, a12, and a13 are the elements of the first row of the matrix and C11, C12, and C13 are their corresponding cofactors. In this case, the determinant det(A) is 68.

Therefore, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. And the determinant det(A) is 68.

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Answer:

that's fake right?

Step-by-step explanation:

¯\_(ツ)_/¯

Answer:

6^5  * 9^5

Step-by-step explanation:

( 6*9) ^5

We know that ( ab) ^c = a^ c* b^c

6^5  * 9^5

Answer:

16.9275130641

Step-by-step explanation:

\tan^{-1}\left(\frac{7}{23}\right)

Yes, his pulse rate is in the normal range for children. His pulse rate was calculated to be 120 beats per minute, which falls within the range of 60-100 beats per minute.

The student took his resting pulse rate by counting the number of beats in 20 seconds. He then multiplied his result by three to calculate his pulse rate for a minute. To determine if his pulse rate was within the normal range for children, he compared his result to the data shown in the table. His pulse rate of 120 beats per minute was within the range of 60-100 beats per minute, so it was considered to be normal for children. To ensure accuracy, the student could have taken his pulse rate for a longer period of time, such as 30 or 60 seconds, before calculating his pulse rate for a minute. This would have given him a more accurate result.

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The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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Answer:

21ft  and 28 ft

Step-by-step explanation:

Answer:

Range A = 386ft

Range B = 427ft

B has the larger range.

Explanation:

To find the range, find the difference between the minimum and maximum depths for each submarine. Remember that your answer will be positive.

Sub A:

-146ft - (-532ft) = 386 ft

Sub B:

-194ft - (-621ft) = 427 ft

Submarine B has a larger range.

The total area of both rooms is given as follows:

9912 ft².

The rooms are a composite figure, hence the area of the figure is the sum of the areas of all the parts that compose the figure.

The figure is composed as follows:

Hence the total area of the figure is given as follows:

2 x 32 x 72 + 2 x 51 x 52 = 9912 ft².

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Answer:

Point-Slope: y+1=-5/7(x-5)

Slope Intercept: y=-5/7x+ 2 4/7

Standard: -5x+7y=18

Step-by-step explanation:

Slope: -5/7

Point slope is when the equation is in y-y1=m(x-x1) form.

I used the point (5,-1) but it really doesn't matter which one

Substitute it into (x1,y1)

y--1=-5/7(x-5)

y+1=-5/7(x-5) **2 minus signs is equal to 1 plus sign**

Slope-intercept is when the equation is in y=mx+b form.

y=-5/7x+b

To solve for b, plug in one of the points (again, I choose to use (5,-1)

(-1)=-5/7(5)+b

-1=-25/7+b is equal to asking -1=-3 4/7+b

b=2 4/7

Standard form is when it is in Ax+By=C

We'll covert from slope intercept to standard: y=-5/7+ 2 4/7

y=-5/7x+ 2 4/7 is the same as y=(-5/7x+ 18/7)

7y=5x+18 **Multiply both sides by 7, the common denominators**

-5x+7y=18 **Subtract 5x from both sides**

Sorry it took it while to get everything down but I hope this helps~

Answer:

100+90+7

200+20

Step-by-step explanation:

The results generated in the map phase are combined in the _reduce_ phase.

In maps, the "reduced phase" refers to a technique used to remove the phase ambiguity present in interferometric synthetic aperture radar (InSAR) data. InSAR uses radar to measure the distance between a satellite or aircraft and the ground and can be used to create detailed maps of changes in the surface of the earth over time.

However, because InSAR data is collected using radar waves, which are sensitive to the phase of the signal, the data can be affected by phase ambiguities. The reduced phase technique is used to remove these ambiguities and create more accurate maps.

Therefore, The results generated in the map phase are combined in the _reduce_ phase.

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Answer: 3x+5, (3x+5)*3 and 5x+4x+15

Step-by-step explanation:

Answer: I think the first one is 3x+5 since it’s a triangle, just divide it by 3 for one side.

5- 3x+5(3) and (6x+10) +(3x+5)

6- they’re equivalent because if you multiply each value for the first equation by 3, you get the original equation, the second is equal at because 6x+10 is equal to 2 sides while 3x+5 is still equal to one, so adding thos together would still give you the original equation, I’m sorry if this is wrong.

Step-by-step explanation:

Answer:

A and E

Step-by-step explanation:

a. Probability of completing the exam in one hour or less is 0.0228. b. Probability of completing the exam in more than 60 minutes but less than 75 minutes is 0.2857. c. About 10 students are expected to be unable to complete the exam in the allotted time.

a. To find the probability of completing the exam in one hour or less, we need to convert one hour (60 minutes) into a z-score using the formula:

z = (x - μ) / σ

where x is the value we want to convert, μ is the mean, and σ is the standard deviation. So, we have:

z = (60 - 80) / 10 = -2

Using a standard normal distribution table or a calculator, we find that the probability of a z-score being less than or equal to -2 is 0.0228 (to 4 decimals). Therefore, the probability of completing the exam in one hour or less is 0.0228.

b. To find the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes, we need to convert both values into z-scores:

z1 = (60 - 80) / 10 = -2

z2 = (75 - 80) / 10 = -0.5

Then, we can find the probability between these two z-scores using a standard normal distribution table or a calculator. The probability is:

P(-2 < z < -0.5) = P(z < -0.5) - P(z < -2)

= 0.3085 - 0.0228

= 0.2857 (to 4 decimals)

Therefore, the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes is 0.2857.

c. We know that the mean time to complete the exam is 80 minutes and the standard deviation is 10 minutes. To find the number of students who will be unable to complete the exam in the allotted time of 90 minutes, we need to find the number of students whose completion time is greater than 90 minutes.

We can convert 90 minutes into a z-score using the formula:

z = (x - μ) / σ = (90 - 80) / 10 = 1

Using a standard normal distribution table or a calculator, we find that the probability of a z-score being greater than 1 is 0.1587.

So, the proportion of students who will be unable to complete the exam in 90 minutes is 0.1587. To find the actual number of students, we can multiply this proportion by the total number of students:

0.1587 x 60 ≈ 9.52

Therefore, we can expect about 10 students to be unable to complete the exam in the allotted time.

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The curve -3\(x^{2}\) + 18x +3 has a maximum value of 30 at x = 3

In mathematics, a point at which a function’s value is greatest. If the value is greater than or equal to all other function values, it is an absolute maximum. If it is merely greater than any nearby point, it is a relative, or local, maximum. In calculus, the derivative equals zero or does not exist at a function’s maximum point.

Differentiate f(x) =  -3\(x^{2}\) + 18x +3 ,

we have dy/dx = -6x + 18.

at turning point, dy/dx = 0

-6x + 18 = 0

6x = 18

x =18/3

x = 3

to check if x = 3 is a minimum or maximum point, we take the second derivate

which is  \(\frac{d^{2}y }{dx^{2} }\) = -6

since  \(\frac{d^{2}y }{dx^{2} }\) < 0

F(x) is a maximum,

so maximum value of x, we substitute x = 3 into the function

f(x)  = -3\((3)^{2}\) + 18(3) + 3

f(x) = 30

In conclusion, the maximum value for the function is 30 at x = 3

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The equation of the tangent is y = -x + 33.the slope of the tangent at (0, 33) is m =\(dy/dx = 4 / (-4) = -1.\)

To find the equation of the tangent to the curve at the given point (0, 33), we need to determine the slope of the tangent at that point.

First, let's differentiate the equations of the curve with respect to t to find the derivatives dx/dt and dy/dt:

\(x = t^2 - 4t\)

\(y = t^3 + 4t + 1\)

Taking the derivatives, we have:

\(dx/dt = 2t - 4\)

\(dy/dt = 3t^2 + 4\)

Now, we can substitute t = 0 into these derivatives to find the slopes at the point (0, 33):

\(dx/dt = 2(0) - 4 = -4\)

\(dy/dt = 3(0)^2 + 4 = 4\)

Therefore, the slope of the tangent at (0, 33) is m =\(dy/dx = 4 / (-4) = -1.\)

Using the point-slope form of a linear equation (y - y1 = m(x - x1)), we can substitute the values of the point (0, 33) and the slope (-1) to find the equation of the tangent:

\(y - 33 = -1(x - 0)\)

\(y - 33 = -x\)

\(y = -x + 33\)

Hence, the equation of the tangent to the curve at the point (0, 33) is y = -x + 33.

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Answer:

The missing angle will be 64

Step-by-step explanation:

If you do 180 + 90 you will get 270. If you do 270 + 26 you will get 296.

A full turn or circle is 360 degrees. If you do 360 - 296 you will end up with 64 degrees.