Choose the linear equation written in slope intercept
form that matches each graph

Answer:

0.68

Step-by-step explanation:

According To the Question,

Let, H ⇒ "heavy traffic" & T ⇒  "get there on time".

Then, "half of the time there is heavy traffic" ⇔ P(H)=0.5.

Now, you are given that there is heavy traffic, so We need to find P(T I H).

 P(T l H) = P(H and T) / P(T)

P(T l H) = 0.34/0.5 ⇒ 0.68

$43 per 10 gallon

Let's divide the dollar amount by gallons to get unit rate.

Thus,

43/10

= 4.3 dollars per gallon

Then,

62.05 dollars per 15 gallons, we can divide same way to get the unit rate. Thus,

62.05/15 = 4.14 dollars per gallon

Obviously, the 2nd one is the better deal!

The unit rate is $4.14 per gallon.

Answer: hey Andrew Davila it’s green Z

Step-by-step explanation:

Answer:

it might be Green z

Step-by-step explanation:

because there is only three (Z) and one (X) so it represents Green Z

I hope it works out

Answer:

c = 256

Explanation:

Given the equation:

We apply the division law of indices to obtain:

The value of c is 256.

Answer:

You multiply it like normal numbers. But when you do, count how many numbers are behind the decimal, say there are 2 numbers behind the decimal, once you finished multiplying the numbers you would add up all the products you got and then put the first 4 numbers you wrote behind the decimal to get the final product.

Step-by-step explanation:

Say you were multiplying 14.63 and 7.74

                   14.63

                   x 7.74                 Always starting from the right side of the equation

                   .5852                go to the left four digits and put a decimal then                  

                  ↑←←←←                just carry the decimal down and you'll  end up with  

                 10.2410              the final product

            + 102.4100                

               113.2362

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

The standard form of a quadratic function is expressed as:y = a(x - h)² + k. The vertex form of the quadratic function is:y = (x - 2)² - 6.

Given the vertex (2,-6), fill in the vertex form of the quadratic function.

Vertex form of a quadratic function

The standard form of a quadratic function is expressed as:y = a(x - h)² + k

Where `(h, k)` is the vertex of the parabola.

The given vertex is (2, -6).

The vertex form is y = (x - h)² + k, where `h` and `k` are the coordinates of the vertex.

Therefore, h = 2 and k = -6

Replacing the values in the vertex form, we get:

y = (x - 2)² - 6O is simply a placeholder for the constant number which we have already substituted with -6.

Thus, the vertex form of the quadratic function is:y = (x - 2)² - 6.

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Answer: C or $256

You will also save $64

Answer:

The cost of the stereo system is $256.

Step-by-step explanation:

What we know:

The cost of the stereo system is $320.

Zenaida is getting the stereo system 20% off.

We can set our equation up like this:

Stereo System = 320-320*20%

(to find the cost of the stereo system, we have to subtract 20% of the original price)

1. Multiply 20 by 100 to change 20% into a decimal

20*100=0.2

2. Plug into the equation and solve

320-320*0.2

= 320-64

= 256

I hope this helped!

Let's start by setting up an equation to solve for the number of apples in the basket at first.

Let A be the number of apples in the basket at first, and P be the number of pears in the basket at first.

From the problem, we know that:

- A + P = 80 (the total number of fruits in the basket at first)

- 0.4A (40% of the apples) and (2/3)P (66.67% of the pears) were eaten

- In the end, there were 36 fruits left, so the number of fruits that were eaten was 80 - 36 = 44.

From this information, we can set up the following equation:

0.4A + (2/3)P = 44

We can then use the first equation to solve for P in terms of A:

P = 80 - A

Substituting this into the second equation, we get:

0.4A + (2/3)(80 - A) = 44

Simplifying this equation, we get:

0.4A + 53.33 - (2/3)A = 44

Multiplying both sides by 15 to eliminate the fractions, we get:

6A + 800 - 10A = 660

Simplifying this equation, we get:

-4A = -140

Dividing both sides by -4, we get:

A = 35

Therefore, there were 35 apples in the basket at first.

Answer:

Let's start by using algebra to solve this problem. We'll let "a" be the number of apples in the basket at first, and "p" be the number of pears. We know that:

a + p = 80 (since there were 80 fruits at first)

We also know that 0.4 of the apples were eaten, which means that 0.6 of the apples were left. Similarly, 2/3 of the pears were eaten, which means that 1/3 of the pears were left. So:

0.6a + (1/3)p = 36

Now we have two equations and two variables, which we can solve using substitution or elimination. Let's solve for "p" in the first equation:

p = 80 - a

Now we can substitute this expression for "p" in the second equation:

0.6a + (1/3)(80 - a) = 36

Multiplying both sides by 3 to get rid of the fraction:

1.8a + 26.67 - 0.33a = 36

Combining like terms:

1.47a + 26.67 = 36

Subtracting 26.67 from both sides:

1.47a = 9.33

Dividing both sides by 1.47:

a = 6.33

So there were approximately 6.33 apples in the basket at first. Since we can't have a fraction of an apple, let's round up to 7 apples. To check our answer, we can substitute this value for "a" in the first equation:

a + p = 80

7 + p = 80

Subtracting 7 from both sides:

p = 73

So there were 7 apples and 73 pears in the basket at first. We can check that 0.4 of the apples were eaten (which is 0.4 x 7 = 2.8, or 3 since we can't eat a fraction of an apple), and 2/3 of the pears were eaten (which is 2/3 x 73 = 48.67, or 49 since we can't eat a fraction of a pear). So there were 7 - 3 = 4 apples left, and 73 - 49 = 24 pears left, for a total of 28 fruits left. This doesn't match the given information that there were 36 fruits left, so there must be an error in the problem statement or our calculations.

We conclude that the model is significant that is test hypothesis are H₀: β₁ = β₂ = β₃ =0 and H₁ : at least one β₁ ≠ 0.

Given that,

A test of interactions should be conducted. the statistix printout of these test's outcomes.

We know that,

Take

Full model is  E(y) = β₀ + β₁x₁ + β₂x₁₂ + β₃x₂+ β₄x₁ x₂ + β₅x₁₂ x₂

Reduced model is F(y) = β₀ + β₁x₁ + β₂x₂ + β₃x₁ x₂

Test hypothesis are

H₀: β₁ = β₂ = β₃ =0

H₁ : at least one β₁ ≠ 0

Test statistic F = 83.05

p-value = 0.000

Since p-value < alpha hence reject H₀

Therefore, we conclude that the model is significant that is test hypothesis are H₀: β₁ = β₂ = β₃ =0 and H₁ : at least one β₁ ≠ 0.

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Complete Question

Interactions Test: run an interactions test. Insert the STATISTIX Printout of the results of this test (4 points). Х Car Data Set.xlsx Linear ...

Answer:

are you sure you wrote that right, and if so here: 14285714285/100000000000

Answer:

99999

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(V=\pi R^2\cdot H\\\\V=13\,816\ m^3\\R=20\,m\\H=??\\\\13\,816=\pi\cdot20^2\cdot H\\\\13\,816=400\pi H\\\\13\,816\approx1256.637 H\\\\H\approx10.994424\,m\)

The value of the double integral using the easier order, ydA bounded by y = x − 6; x = y² is 125/12.

The double integral, indicated by ', is mostly used to calculate the surface area of a two-dimensional figure. By using double integration, we may quickly determine the area of a rectangular region. If we understand simple integration, we can easily tackle double integration difficulties. Hence, first and foremost, we will go over some fundamental integration guidelines.

Given, the double integral ∫∫yA and the region y = x-6 and x = y²

y = x-6

x = y²

y² = y +6

y² - y - 6 = 0

y² - 3y +2y - 6 = 0

(y-3) (y+2) = 0

y = 3 and y = -2

\(\int\int\limits_\triangle {y} \, dA\\ \\\)

= \(\int\limits^3_2 {y(y+6-y^2)} \, dx \\\\\int\limits^3_2 {(y^2+6y-y^3)} \, dx \\\\(\frac{y^3}{3} + 3y^2-\frac{y^4}{4} )_-_2^3\\\\\frac{63}{4} -\frac{16}{3} \\\\\frac{125}{12}\)

The value for the double integral is 125/12.

Integration is an important aspect of calculus, and there are many different forms of integrations, such as basic integration, double integration, and triple integration. We often utilise integral calculus to determine the area and volume on a very big scale that simple formulae or calculations cannot.

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The matrix A representing the linear transformation T from R3 to R4 with ker(T)={0} and im(T)=V is:

A = [[1, 1, 0],
    [1, 0, 1],
    [-2, 0, 2],
    [0, 0, 4]]

The subspace V is given by the equation x1 - x2 + 2x3 + 4x4 = 0. To find a linear transformation T with kernel {0} and image V, we need to determine a matrix A that sends each basis vector of R3 to a vector in V. We can find a basis for V by solving the given equation for x1, obtaining x1 = x2 - 2x3 - 4x4.

This implies that a basis for V can be {u1 = (1, 1, 0, 0), u2 = (-2, 0, 1, 0), u3 = (0, 0, 2, 4)}. To define the linear transformation T, we map the standard basis of R3 (e1, e2, e3) to the basis vectors of V: T(e1) = u1, T(e2) = u2, and T(e3) = u3. Combining the basis vectors as columns, we obtain the matrix A above.

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Answer:

The second option (5x+14-4x=23+x-9)

Step-by-step explanation:

For an equation to have infinitely many solutions each side must be exactly the same when simplified.

12+4x=6x+10-2x

Combine alike terms.

12+4x=4x+10

Subtract 4x from each side

12=10

This is not true so this equation has no solutions.

5x+14-4x=23+x-9

Combine alike terms

x+14=14+x

subtract x from each side

14=14

This is true so this equation has infinitely many solutions.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

your answer is correct

Step-by-step explanation:

5x+14-4x=23+x-9

simply both sides

x+14=x+14

Answer:

1/20

there are 20 students altogether

Step-by-step explanation:

um I'm not sure

Answer: I gave the evaluate answer and the differentiate w.r.t x answer. Sorry for caps.

Step-by-step explanation: EVALUATE  x4n−3

 DIFFERENTIATE W.R.T. X  (4n−3)x4(n−1)

Answer:

just write it into a number problem instead of word problem, then I can solve it!! :)

Step-by-step explanation:

I can only solve it when there is a pic of it or if you write it in NUMBERS NOT WORDS. :)

answer is y=1

hopefully it helped

Answer:

3

Step-by-step explanation:

-21/-7 = 3

negative times negative or negative divided by negative is always positive

Answer:Solution for 6x^2+7x-5=0 equation:

Simplifying

6x2 + 7x + -5 = 0

Reorder the terms:

-5 + 7x + 6x2 = 0

Solving

-5 + 7x + 6x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-5 + -3x)(1 + -2x) = 0

Subproblem 1

Set the factor '(-5 + -3x)' equal to zero and attempt to solve:

Simplifying

-5 + -3x = 0

Solving

-5 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + -3x = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -3x = 0 + 5

-3x = 0 + 5

Combine like terms: 0 + 5 = 5

-3x = 5

Divide each side by '-3'.

x = -1.666666667

Simplifying

x = -1.666666667

Subproblem 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying

1 + -2x = 0

Solving

1 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0

0 + -2x = 0 + -1

-2x = 0 + -1

Combine like terms: 0 + -1 = -1

-2x = -1

Divide each side by '-2'.

x = 0.5

Simplifying

x = 0.5

Solution

x = {-1.666666667, 0.5

Step-by-step explanation:

the angle formed by the line of sight and the horizontal line can best be described as an angle of elevation. Option B

Angle of elevation can be defined as the angle formed between a horizontal line and the line of sight up to an object with the image of the object located above the horizontal line.

It is the height greater than the height of the observer.

The opposite of the angle of elevation is the angle of depression which is formed with an observer

Words associated with the angle of elevation are;

The angle of elevation is the angle between the line of sight and the horizontal line.

Hence, the angle formed by the line of sight and the horizontal line can best be described as an angle of elevation. Option B

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the point of intersection of the given function will be (-1,5).

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

the functions f(x) = (x+6)(x+2) and g(x) = x + 6

Equating them with each other

(x+6)(x+2) = x + 6

x+2 = 1

x = -1

f(-1) = 5

So the point of intersection of the given function will be (-1,5).

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Answer:

Dan had $104

Paul had $40

Step-by-step explanation:

13x-32=5x+32

8x=64

x=8

8*5=40

13*8=104

Answer:

greatest because 15.01>15

Answer:

15.01 is greater.

Step-by-step explanation:

Sqare root of 225 is 15.

Answer:

The two bottom angles of this triangle are both represented by the same variable, in this case, an x. This means, that both of the bottom angles are equal to each other.

So we have:

32 + x + x = 180 (since the TOTAL angles of a triangle adds up to 180)

32 + 2x = 180 (combine the 2 x's together)

2x = 148 (subtract a 32 from both sides)

x = 74

Let me know if this helps!

I may utilize the Cp Criterion, AICp, and SBCp to aid in choosing the optimal model. All of them impose sanctions for introducing predictions.

What is subset regression model?

Best subsets regression is a model-building regression analysis that is exploratory. It compares every model that might be built using a specified set of predictors.

There are Cp Criterion, AICp and SBCp that I can use to help select the best model. They all place penalties for adding predictors.

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Answer: I'm not sure what your options are, but a line the passes through -3,1, and is parallel to y=4, would be y=1

Step-by-step explanation:

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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