Which function is equivalent to {x)=-7(x+9)2 - 3, OOO (x)=-7x4- 126x-570 ix)=-7x2 + 18x+ 78 (x)=-7x2 - 126x-546 f(x)=-7x2 +564 o

Answer:

The completed table is shown below

Step-by-step explanation:

Proportional Relationship

Two variables H and M have a proportional relationship if the following equation is satisfied:

M = kH

Where k is the constant of proportionality.

The table shows one complete point: H=1.5, M=6. This allows us to find the value of k:

6 = 1.5k

k = 6/1.5 = 4

Now we know the complete relationship between distance and time:

M = 4H

To complete the table, we just give the required values and calculate the corresponding value.

For H=0 hours, M=4*0 = 0 miles

For H=0.5 hours, M=4*0.5 = 2 miles

For H=1 hours, M=4*1 = 4 miles

For H=6.5, M=4*6.5 = 26 miles

For M=12 miles, H=12/4 = 3 hours

The completed table is shown below

Answer:

my answer is A

Step-by-step explanation:

if you work out the equation where you know that at the x intercept y=0 you will find A to be true

Answer: Y=1/8

Slope m=0, b =1/8

Step-by-step explanation:

Answer: 3:45PM

Step-by-step explanation: 245 / 35 = 7. 7 hours after 8:45AM is 3:45PM.

The total number of oranges in the pyramidal stack is 78.

The oranges are stacked by the grocer in a pyramid like shape,

The base of the pyramid is rectangular with a size of 5 by 8 oranges,

So, total number of oranges in the base can be found as,

= 5 x 8

= 40 oranges.

One orange has four oranges below it. So, if there are 40 oranges in the base, the upper layer will have one row of oranges reduced from each side of the rectangular base.

So, every next level will have (L-1)(B-1) oranges, where L and B are the length and breadth of every preceding rectangle.

Hence, Oranges in level 1 = 4x8

Oranges in level 2 = 3x7

Oranges in level 3 = 2x6

Oranges in level 4 = 1x5

Hence, total oranges are, (40+21+12+5) oranges.

Total oranges stacked are 78 oranges.

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Answer:

x = - 11

Step-by-step explanation:

Take the square root of both sides.

sqrt(x+4)^2 = sqrt(49)

x + 4 = +/- 7

x + 4 = + 7

x = 3                 Not what you want.

x + 4 = - 7

x = - 11

Answer:

12.6

Step-by-step explanation:

3.5 x 3600 divided by 1,000 = 12.6 kilograms

For this function, A is -2/3, B is 0 and C is 2/3.

To find the critical numbers of the function f(x) = 9x + 4\(x^{-1}\) , we need to find the values of x where the derivative of the function is equal to zero or undefined.

The derivative of f(x) is:

f'(x) = 9 - 4\(x^{-2}\) = 9 - 4/\(x^{2}\)

To find where the derivative is equal to zero, we set f'(x) = 0 and solve for x:

9 - 4/\(x^{2}\)  = 0

4/\(x^{2}\)  = 9

\(x^{2}\) = 4/9

x = ±2/3

Therefore, the critical numbers of f(x) are x = 2/3 and x = -2/3.

To find the intervals where the function is not defined, we need to look for values of x that make the denominator of the expression 4\(x^{-1}\)  equal to zero. In this case, the function is not defined at x = 0.

Now we need to determine the sign of the derivative in each of the intervals (−∞,A], [A,B), (B,C], and [C,∞).

For x < -2/3, f'(x) is negative because 4/\(x^{2}\)  is positive and 9 is greater than 4/\(x^{2}\) . Therefore, the function is decreasing on the interval (−∞,−2/3).

For −2/3 < x < 0, f'(x) is still negative because 4/\(x^{2}\)  is positive and 9 is still greater than 4/\(x^{2}\) . Therefore, the function is decreasing on the interval (−2/3,0).

For 0 < x < 2/3, f'(x) is positive because 4/\(x^{2}\)  is positive and 9 is less than 4/\(x^{2}\) . Therefore, the function is increasing on the interval (0,2/3).

For x > 2/3, f'(x) is still positive because 4/\(x^{2}\)  is positive and 9 is still less than 4/\(x^{2}\) . Therefore, the function is increasing on the interval (2/3,∞).

Finally, the function is not defined at x = 0, so the interval [A,B) is (−∞,0) and the interval (B,C] is (0,∞).

Therefore, we have:

A = -2/3

B = 0

C = 2/3

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Answer:

15

Step-by-step explanation:

d = 5 for PQ

For:

(X1, Y1) = (0, 0)

(X2, Y2) = (5, 0)

finding distance between two points

d=√(5−0)^2+(0−0)^2

d=√(5)^2+(0)^2

d=√25+0

d=√25

d=5

for RS d=3

d = 3

For:

(X1, Y1) = (3, 2)

(X2, Y2) = (0, 2)

d=√(0−3)^2+(2−2)^2

d=√(−3)^2+(0)^2

d=√9+0

d=3

Area= length * width

Area=3*5=15

Step-by-step explanation:

\(\sf \sqrt{13} \times \sqrt{13} = {\sf {\pink{\boxed{ \sf{13}}}}}\)

The cosines of the angles that AC makes with the x-, y-, and z-axes are 0, 1/√5, and 2/√5, respectively.

(a) To find a vector of length 10 orthogonal to both AC and AD, we first need to find the normal vector to the plane containing AC and AD. This can be done by taking the cross product of AC and AD:

N = AC × AD = (0-1)(2-1)i - (0-2)(3-2)j + (1-1)(3-1)k = -i - j + k

Now, we need to find a vector in the direction of N that has length 10. We can do this by scaling N by a factor of 10/|N|:

v = (10/√3)i + (10/√3)j - (10/√3)k

Therefore, the vector of length 10 orthogonal to both AC and AD is v.

(b) The volume of the parallelepiped with adjacent edges consisting of the vectors AB, AC, and AD is given by the scalar triple product:

V = |AB · (AC × AD)|

We can first find AC × AD:

AC × AD = (0-1)(2-2)i - (0-2)(3-0)j + (1-1)(3-3)k = -2j

Then, we can find AB:

AB = (4-0)i + (-1-0)j + (1-0)k = 4i - j + k

Taking the dot product of AB and -2j, we get:

AB · (AC × AD) = (4i - j + k) · (-2j) = -2j

Taking the absolute value of -2j, we get:

V = |-2j| = 2

Therefore, the volume of the parallelepiped with adjacent edges consisting of the vectors AB, AC, and AD is 2.

(c) To find the cosines of the angles that AC makes with the three coordinate axes, we can use the direction cosines. The direction cosines of a vector v are given by:

cos α = v_x / |v|

cos β = v_y / |v|

cos γ = v_z / |v|

where α, β, and γ are the angles that v makes with the x-, y-, and z-axes, respectively.

For AC = <0, 1, 2>, we have:

|AC| = √(0^2 + 1^2 + 2^2) = √5

cos α = 0 / √5 = 0

cos β = 1 / √5

cos γ = 2 / √5

Therefore, the cosines of the angles that AC makes with the x-, y-, and z-axes are 0, 1/√5, and 2/√5, respectively.

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Answer:

Its equal to 0

Step-by-step explanation:

Zero just incase its hard to read cause its next to the o <3

From the given information provided, the probability of event F given that event E has occurred is 0.5.

Conditional probability is probability of an event A occurring with given that event B has occurred. It is denoted as P(A|B) and is calculated as follows:

P(A|B) = P(A and B) / P(B)

To find P(F/E), we use the conditional probability formula:

P(F/E) = P(E and F) / P(E)

We are given that P(E and F) = 0.1 and P(E) = 0.2. Substituting the given values in the formula, we get:

P(F/E) = 0.1 / 0.2

Simplifying this expression, we get:

P(F/E) = 0.5

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As per the given Ratio difference between the amount of money spent and the amount of money saved in a week is $2.

A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.

The ratio formula can be used to represent a ratio as a fraction. For any two quantities, say a and b, the ratio formula is a:b = a/b. Because a and b are separate amounts for two portions, the total quantity is given as (a + b).

et 5x be the money he spends and 4x be the amount he saves

therefore, 5x+4x= 18

9x= 18

x= 18/9= 2

Tom spends, 5×2 = $10

and he saves, 4×2= $8

Difference, = $10-$8= $2

Therefore, as per the given ratio in the question difference between the amount of money spent and the amount of money saved in a week is $2.

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Tom receives $18 from his father in a week. The ratio of the amount of

the money he spends to the amount of money he saves in a week is 5:4

What is the difference between the amount of money spent and

amount of money saved in a week?

An easy way to estimate would be to choose numbers close such as 90x400, which equals 36,000.

The true answer is 87*403 = 35,061.

3 600

Step-by-step explanation:

First multiply 87 to the nearest ten then multiply 403 to the nearest hundred which will give you 90 and 400. Multiply the two to get your answer

When searching for the value 10 in the array [2, 3, 5, 6, 9, 13, 16, 19], a recursive binary search algorithm will return false since the element is not found in the array.

About Binary Search Algorithm

The binary search algorithm, applied on arrays are of recursive type. The broad strategy is to look at the middle item on the list. The procedure of the binary search algorithm is either terminated (key found), the left half of the list is searched recursively, or the right half of the list is searched recursively, depending on the value of the middle element.

The function carrying out the binary search algorithm in a code returns true if the desired element is found in the array, else returns false. Since the element 10 is not present in the given array: [2, 3, 5, 6, 9, 13, 16, 19], the binary search algorithm will return false.

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Answer:

Step-by-step explanation:

The hypotenuse is 200 meters.

The angle making the ground and the Hypotenuse is 7 degrees.

The trig relationship needed is the cosine.

Cos(7) = x / 200        Multiply both sides by 200

200*cos(7) = x

200* 0.9925 = x

x = 198.51

The calculator held the actual answer of cos(7)

The problem of unit root in standard regression and time-series models arises when a variable exhibits a non-stationary behavior, meaning it has a trend or follows a random walk. Unit root tests, such as the Dickey-Fuller and augmented Dickey-Fuller tests, are used to detect the presence of a unit root in a time series. These tests examine whether the coefficient on the lagged value of the variable is significantly different from one, indicating the presence of a unit root.

In standard regression analysis, it is typically assumed that the variables are stationary, meaning they have a constant mean and variance over time. However, many economic and financial variables exhibit non-stationary behavior, where their values are not centered around a fixed mean but instead follow a trend or random walk. This presents a problem because standard regression techniques may produce unreliable results when applied to non-stationary variables.

Time-series models, such as autoregressive integrated moving average (ARIMA) models, are specifically designed to handle non-stationary data. They incorporate differencing techniques to transform the data into a stationary form, allowing for reliable estimation and inference. Differencing involves computing the difference between consecutive observations to remove the trend or random walk component.

The Dickey-Fuller test and augmented Dickey-Fuller test are commonly used to detect the presence of a unit root in a time series. These tests examine the coefficient on the lagged value of the variable in a regression framework. The null hypothesis of the tests is that the variable has a unit root, indicating non-stationarity, while the alternative hypothesis is that the variable is stationary.

The Dickey-Fuller test is a simple version of the test that includes only a single lagged difference of the variable in the regression. The augmented Dickey-Fuller test extends this by including multiple lagged differences to account for potential serial correlation in the data. Both tests provide critical values that can be compared to the test statistic to determine whether the null hypothesis of a unit root can be rejected.

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Answer: The answer is some

I know this because I go to Harvard

Answer:

The answer is some

The -1 part is not inside the natural log.

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

Work Shown:

1 + 2*e^(x+1) = 9

2*e^(x+1) = 9-1

2*e^(x+1) = 8

e^(x+1) = 8/2

e^(x+1) = 4

x+1 = Ln(4)

x = Ln(4) - 1

Answer:

y = 4x - 2 would be the equation

Answer:

x^32

Step-by-step explanation:

Multiply the exponents in (x4)8.

Answer:

the square means those to lines make a 90 degree angle aka. right angle

Step-by-step explanation:

Answer:

Sine of x = \(\frac{\sqrt{288} }{18}\)

Cos of x = 6 / 18

Step-by-step explanation:

To solve this:

We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle:

\(a^{2} + b^{2} = c^{2}\)

In any right angled triangle, for any angle:

The sine of the angle = the length of the opposite side / the length of the hypotenuse

The cosine of the angle = the length of the adjacent side / the length of the hypotenuse

In this right triangle, we know the opposite side is \(\sqrt{288}\), the adjacent side is 6, and the hypotenuse is 18

So to find the sine of x, we would do \(\frac{\sqrt{288} }{18}\)

And to find the cos of x, we would do 6 / 18

Hope this helps!! Pls mark as brainliest, ty.

Answer:

f(x) / g(x) = 8^x / 9 --> B

Step-by-step explanation:

You just need to plug in the values

Answer:

B. 8^2/-9

Step-by-step explanation:

I think the first guy is right

Step-by-step explanation:

the median is the value, where half of the other values is lower and the other half is higher.

so, when sorting these 7 numbers we get

10, 11, 12, 13, 14, 15, 16

and the median is 13.

as 10, 11, 12 are lower.

and 14, 15, 16 are higher.

Answer:

D.) 0.25

Step-by-step explanation:

Because it is not a whole number and decimals don't count as integers