Mary' peed i inverely related to her drive home. Mary drive home from work in 40 minute driving 55mph. If Mary need yo get home 15 minute earlier, how fat doe he need to drive

Answer: 25

Step-by-step explanation:

Let x represent the number of pages Broonzy read last night. Then, 5x represents the number of pages she will read tonight. According to her plan, after reading 5x pages tonight and 10 pages tomorrow night, she will complete the remaining 40 pages. The equation can be expressed as:

x (last night) + 5x (tonight) + 10 (tomorrow night) = 40 (total remaining pages)

Combining the terms, we get:

6x + 10 = 40

Now, let's solve for x:

6x = 30

x = 5

So, Broonzy read 5 pages last night. To determine the number of pages she needs to read tonight, we multiply x by 5:

5x = 5 * 5 = 25

Therefore, Broonzy has to read 25 pages tonight to finish her book according to her plan.

The answer to your question is 32

2 (10-4)2+8

2*(6)*2+8

2*6*2=24

24+8=32

Notice that the prime factorization of \(20^{20}\) and \(10^{10}\) are \(2^{40}\cdot5^{20}\) and \(2^{10}\cdot5^{10}\), respectively. also, notice that both of their prime factorizations contain only 2 and 5.

Let the divisor of 20^20 that is a multiple of 10^10 be:

\(2^y\cdot5^x\cdot2^{10}\cdot5^{10}\\=2^{10+y}\cdot5^{10+x}\)

where y and x are positive integers.

We can have y equal to 0, 1, 2, ... 30 before the exponent of 2 exceeds 40, and we can have x equal to 0, 1, 2, ... 10 before the exponent of 5 exceeds 20.

That is 11*31= 341 numbers in total.

There are (40+1)(20+1)=861 factors in 20^20, which means that the final answer is:

\(\boxed{\frac{341}{861}}\)

also are you, by any chance, the same guest who posted the same question in web2.0?

Answer:

15

Step-by-step explanation:

50% is half, so what is half of 30?

9514 1404 393

Answer:

  D.  -0.9

Step-by-step explanation:

The magnitude of the correlation coefficient ranges from 0 (no correlation) to 1 (perfect correlation). Correlation is the strongest when the magnitude of the correlation coefficient is nearest 1.

Of the choices offered, the strongest correlation is indicated by a coefficient of -0.9, choice D.

Answer:

D. - 0.9

Step-by-step explanation:

Answer:

\(11. \: slope \: = 0\)

\(12. \: undefined\)

\(13. \: undefined\)

\(for \: y = 3 \: draw \: a \: straight \: line \: across \: 3\)

\(for \: y = 3x \: draw \: a \: diagonal \ \: line \: across \: 0\)

14. the difference is that in y=3 there is a y-intercept, the equation does not have a slope neither does the graph.

In y=3x the equation has a slope but no y-intercept.

If you have any questions ask me in the comments.

I've attached 2 images that demonstrate this.

Step-by-step explanation:

Hope this helps!

Answer:

Step-by-step explanation:

\(A=2\cdot\pi R^2+ 2\pi R\cdot H\\\\H=4\,m\\R=2\,m\\\\A=2\cdot\pi\cdot 2^2+2\pi \cdot2\cdot4=8\pi+16\pi=24\pi=75.398223....\approx75.398\ m^2\)

x2 = -2.0000. In this way, we get x2, the second approximation to the root of the equation using Newton's method with an initial approximation x1 = −2.

Newton's method is one of the numerical methods used to estimate the root of a function.

The following are the steps for using Newton's method:

Let the equation f (x) = 0 be given with an initial guess x1, and let f′(x) be the derivative of f(x).

Determine the next estimate, x2, by using the formula x2 = x1 - f (x1) / f'(x1).

Therefore, the given equation is x³ + x + 6 = 0.

Let us use Newton's method to solve the given equation. We have x1 = -2, which is the initial approximation.

Therefore, f(x) = x³ + x + 6, and f'(x) = 3x² + 1.

To find x2, the second approximation to the root of the equation, we need to substitute the values of f(x), f'(x), and x1 into the formula x2 = x1 - f (x1) / f'(x1).

Substituting the given values in the above equation we get, x2 = x1 - f (x1) / f'(x1) = -2 - (-2³ - 2 + 6) / (3(-2²) + 1) = -2 - (-8 - 2 + 6) / (3(4) + 1) = -2 - (-4) / 13 = -2 + 4 / 13 = -26 / 13

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Answer:

no = 3/4

Step-by-step explanation:

1/2(no-1/2)=1/8

1/2no - 1/4 = 1/8

1/2no = 1/8 + 1/4

1/2no = 3/8

no = 3/4

Answer:

Step-by-step explanation:

\( \frac{8}{32} = \frac{4}{16} = \frac{2}{8} = \frac{1}{4} \)

\( \frac{27}{54} = \frac{9 }{18} = \frac{3}{6} = \frac{1}{2} \)

\( \frac{36}{24} = \frac{18}{12} = \frac{9}{6} = \frac{3}{2} \)

\( \frac{30}{60} = \frac{15}{30} = \frac{5}{10} = \frac{1}{2} \)

The solution is the degree of f(x) is at least 5.

Given info,

The polynomial f(x) has 5 intercepts.

The solution required,

The polynomial f(x) has 5 intercepts.

→ if the function has n intercept then the polynomial function has at least n degrees.

→ There is 5 intercept, then the polynomial function has at least 5 degrees.

→ The degree of f(x) is at least 5.

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Answer:

\(2a^2+14a\)

Step-by-step explanation:

\(2a*a = 2a^2\)

\(2a*7=14a\)

Add them up and thats your answer

Associative property of addition changing the grouping of add once does not change the sum. The option 3 illustrates the associative property of addition. Thus this is the correct option.

The options are given in which the associative property of the addition has to be found.

Associative property of addition is the changing the grouping of add once does not change the sum.

\((3+19)-12=(3+12)-19\)

In the above option with changing the bracket the sign of 19 and 12 is changed. This will affect the result of the addition. Hence, option 1 is incorrect.

\(3+(19-12)=3+(19+12)\)

In this case, the sign changed. Thus the result of the sum will be different. Hence the option 2 is incorrect.

\((3+19)-12=3+(19-12)\)

In this case, brackets are changed but the sign is not changed. Thus the result will be the same. Hence, option 3 illustrates the associative property of addition. Thus this is the correct option.

\(3+(19-12)=3-(19+12)\)

In the above case, the sign changed and thus the result will also be changed. therefore option 4 is incorrect.

Hence, option 3 illustrates the associative property of addition. Thus this is the correct option

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Answer:

The y intercept is : 65

Step-by-step explanation:

The y intercept is 65 as it is in the form of y=mx+c.

The c is the y intercept, being 65

The intrinsic value of the PUT option is $0. It means the option has no inherent value based on the given information.

To determine the intrinsic value of a PUT option, we compare the strike price (X) with the current market price (S) of the underlying asset. If the strike price is higher than the market price, the intrinsic value is the difference between the strike price and the market price. However, if the market price is higher than the strike price, the intrinsic value is $0.

In the given information, we have the following data:

- Strike price (X): $90

- Market price (S): $47.78

Since the market price is lower than the strike price (47.78 < 90), the intrinsic value of the PUT option is $0. This means that exercising the option would not result in any profit because it is currently out of the money.

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Option B, (x, y) -> (-x, y), does not preserve congruence.

Congruence is a geometric relationship between two figures that have the same size and shape. In other words, two figures are congruent if one can be superimposed on the other without any overlapping or gaps.

A transformation preserves congruence if the image of a congruent figure is also congruent to the original figure. Option B, (x, y) -> (-x, y), reflects the figure over the y-axis, so it changes the orientation of the figure and therefore does not preserve congruence.

Options A, ( x, y) -> ( x + 6, y + 6), C, (x, y) -> (6x, 6y), and D, (x, y) -> (-y, x), all preserve congruence.

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9.055

Step-by-step explanation:

distance

= √(x₁ - x₂)² + (y₁ - y₂)

= √[7 - (-2)]² + [-5 - (-4)]²

= √[9]² + [-1]²

= √(81 + 1)

= √82

≈ 9.055

X1 = U1 + U-1 = U1 (since U-1 = 0);
X2 = U2 + U0 = U2 + 1 (since U0 = y1 - y0 = -1);
X3 = U3 + U1 = U3 + U1;
X4 = U4 + U3 + U2.

Innovations algorithm is a method for computing the values of a time series at each time point using the lag operator and the innovation or error terms. The lag operator, denoted by the symbol B, is used to shift the time index of a time series by one unit. Specifically, B multiplied by the time series X is equivalent to the time series X shifted one unit into the past.

We are given the MA(2) process X, = (1+0,B²)W with W, - WN(0,1), this means that X is a moving average process of order 2, where the current value of X depends on the current and two past innovation terms. The innovation terms U1, U2, U3, ... are uncorrelated random variables with zero mean and unit variance.

i) To use the innovations algorithm to find X1, X2, and X3 in terms of U1, U2, and U3, we first need to express X in terms of B and the innovation terms. Using the definition of the MA(2) process, we have:

Xt = (1 + 0*B^2)Wt + B* (1 + 0*B^2)Wt-1 + B^2* (1 + 0*B^2)Wt-2
= (1 + 0*B^2)Wt + B* (1 + 0*B^2)Wt-1 + B^2* (1 + 0*B^2)Wt-2
= Wt + B*Wt-1 + B^2*Wt-2

Next, we can use the innovations algorithm to express Xt in terms of the innovation terms U1, U2, and U3. The algorithm works as follows:

- Compute the initial values of the time series using the given initial conditions. In this case, we have y(0)=1+0*2, y(1)=0, y(2)=0, and y(h)=0 for h>3.
- For each time point t > 2, compute the innovation term Ut as the difference between the observed value yt and the predicted value based on the past observations up to time t-1. Specifically, we have:
Ut = yt - (1 + 0*B + 0*B^2) yt-1
= yt - yt-1

- Compute the current value of Xt as a linear combination of the past innovation terms Ut-1, Ut-2, and Ut-3, using the coefficients from the MA(2) process. Specifically, we have:
Xt = Ut + 0*Ut-1 + Ut-2
= Ut + Ut-2

Using this algorithm, we can compute the values of X1, X2, and X3 as follows:
- X1 = U1 + U-1 = U1 (since U-1 = 0)
- X2 = U2 + U0 = U2 + 1 (since U0 = y1 - y0 = -1)
- X3 = U3 + U1 = U3 + U1

ii) To find the value of X4, we can use the result from part i to express X4 in terms of the innovation terms U1, U2, U3, and U4. Specifically, we have:

X4 = U4 + U2
= y4 - y3 + y2 - y1
= (1 + 0*B^2) W4 - (1 + 0*B + 0*B^2) W3 + (1 + 0*B^2) W2 - (1 + 0*B + 0*B^2) W1
- (1 + 0*B + 0*B^2) W0
= W4 - W3 + W2 - W1
= U4 + U3 + U2

Therefore, X4 = U4 + U3 + U2.

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Square root is a factor that, when multiplied by itself, equals the original value.

The values of -√38 = -6.16 then -√38  <  6.

In mathematics, a square root is a factor that, when multiplied by itself, equals the original value. Any time the idea of an object's square is mentioned, square roots can be considered more widely. These include square matrices and function spaces, among other mathematical structures.

Even though it is only one of the two square roots of a positive number, the term "square root" is occasionally used to describe the major square root of a positive number.

Let the values of -√38 = -6.16 then -√38  <  6

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Answer:

x≤-4 or x≥0.5

Step-by-step explanation:

Answer:

H * 2g/w² = R² - r²

r² = R² - H * 2g/w²

r = √(R² - H * 2g/w²)

Answer:

x = -12

Step-by-step explanation:

-2(10 + x) = 4​

Divide each side by -2

-2(10 + x) / -2  = 4/-2

(10 + x) = -2​

Subtract 10 from each side

10+x-10 = -2-10

x = -12

The solution to this equation is: x = -12

First degree equation is an equality between members where we find at least one variable.

We have the equation:

\(\sf -2(10+x)=4\)

First, we must apply the distributive property.

\(\sf -20-2x=4\)

Now we move the independent term to the second degree.

\(\sf -2x=4+20\)

We add similar terms.

\(\sf -2x=24\)

We isolated the term "x".

\(\sf x=\dfrac{24}{-2}\)

Finally, we carry out the division. Discovering, in this way, the solution.

\(\boxed{\boxed{\sf x=-12}}\)

Answer:

17, 5, and 10

Step-by-step explanation:

a coefficient is a multiplicative factor in some term of a polynomial. the numbers that are alone are constants.

Answer:

The flight was 137.45 miles farther than the direct path.

(make slight changes if directions were given on how to round. This is to the nearest hundredth)

Step-by-step explanation:

Use the Law of Cosines.

c^2=

a^2+b^2-2abcosC

You know two sides and the angle in between. The Law of Cosines will give us the third side.

The third side is the direct path of the airplane. We'll add the two other given sides to find the detour route that they took instead.

Then subtract the smaller number (direct route) from the actual route. See image.

The value of x when y=0 from the given absolute value equation is x=-1.

The graph for the absolute equation y=|x+2|-1 is given.

Rewrite in vertex form and use this form to find the vertex (h,k).

(-2, -1)

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (-1,0),(-3,0)

y-intercept(s): (0, 1)

Here, y>0

So, 1=|x+2|-1

2=x+2

x=0

When y<0

So, -1=|x+2|-1

x+2=0

x=-1

When y=0

0=|x+2|-1

1=x+2

x=-1

Therefore, the value of x when y=0 from the given absolute value equation is x=-1.

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If the length of a confidence interval is 3 for inference concerning a mean, the required sample size is \((z_\frac{\alpha }{2}*\frac{\sigma}{3} )^2\)

An equation is an expression that shows the relationship between two or more variables and numbers.

σ = standard deviation, n = sample  size, the margin of error (E) is given by:

\(E=z_\frac{\alpha }{2}*\frac{\sigma}{\sqrt{n} } \\\\E=3, hence:\\\\3=z_\frac{\alpha }{2}*\frac{\sigma}{\sqrt{n} } \\\\n=(z_\frac{\alpha }{2}*\frac{\sigma}{3} )^2\)

If the length of a confidence interval is 3 for inference concerning a mean, the required sample size is \((z_\frac{\alpha }{2}*\frac{\sigma}{3} )^2\)

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Answer:

The coordinates of point p are:

x = -3.2

y = 9.6

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:

a = (3 - 5)/(10 - 6) = -0.5

Then this line will be something like:

y = -0.5*x + b

To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:

x = 6

y = 5

Then we get:

5 = -0.5*6 + b

5 = -3 + b

5 + 3 = b

8 = b

Then the equation for line L1 is:

y = -0.5*x + 8

Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)

Then line L2 has a slope equal to -3

y = -3*x + b

And we know that this line passes through the origin, (0, 0)

Then if we replace the values of that point in our equation, we get:

0 = -3*0 + b

0 = b

Then line L2 is:

y = -3*x

Then our two lines are:

y = -0.5*x + 8

y = -3*x

Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:

-0.5*x + 8 = y = -3*x

-0.5*x + 8 = -3*x

now we can solve this for x.

-0.5*x + 8 = -3*x

8 = -3*x + 0.5*x

8 = -2.5*x

8/-2.5 = x = -3.2

Now we need to evaluate one of the lines on this value, i will use line L2

y = -3*(-3.2) = 9.6

Then we can conclude that the lines do intersect in the point:

x = -3.2

y = 9.6

this point is written as: (-3.2, 9.6)

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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