Will mark Brainliest 43 points!!!

Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7.

y = one divided by twenty eightx2
x = one divided by twenty eighty2
-28y = x2
y2 = 14x

3.5 * 1.9 = answer

3.5 * 1.9 = 6.65

$6.65 is new price

Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.

The task is to create an equation that use the total expense (y) and the total number of bowled games (x). Hence, the way that we will begin is by entering the knowing into the formula of slope intercept form:  y=mx+b.

Thus, we include them in the formula: y=4x+b.

14 = 4(3)+b

Find b

14 = 12+b

14 - 12=b

b = 2

Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.

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Complete question:

The total cost for bowling includes the fee for shoe rental plus a fee per game. The cost of the game increases the price by $4. After 3 games, the total cost with shoe rental is $14.

a.write an equation to represent the total cost y to rent shoes and bowl x games.

The coordinates of the midpoints of the given line segment is:

(3.5, 1.5)

The midpoint of a line segment is simply referred to as the center of that specific line segment.

Thus, the coordinates at that point will be referred to as the coordinates of the midpoint.

The coordinates of the endpoints of the line are:

(4,6) and (3,-3)

The formula to find the coordinates of the midpoint of the line is:

(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2

Thus, we have:

(x, y) = (4 + 3)/2, (6 - 3)/2

= (3.5, 1.5)

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We cannot conclude that there are more than 70,000 defined words in the dictionary.

To test the claim that there are more than 70,000 defined words in the dictionary, we can set up the null and alternative hypotheses as follows:

Null Hypothesis (H0): The mean number of defined words on a page is 48.0 or less.

Alternative Hypothesis (H1): The mean number of defined words on a page is greater than 48.0.

So, sample mean

= (59 + 37 + 56 + 67 + 43 + 49 + 46 + 37 + 41 + 85) / 10

= 510 / 10

= 51.0

and, the sample standard deviation (s)

= √[((59 - 51)² + (37 - 51)² + ... + (85 - 51)²) / (10 - 1)]

≈ 16.23

Next, we calculate the test statistic using the formula:

test statistic = (x - μ) / (s / √n)

In this case, μ = 48.0, s ≈ 16.23, and n = 10.

test statistic = (51.0 - 48.0) / (16.23 / √10) ≈ 1.34

With a significance level of 0.05 and 9 degrees of freedom (n - 1 = 10 - 1 = 9), the critical value is 1.833.

Since the test statistic (1.34) is not greater than the critical value (1.833), we do not have enough evidence to reject the null hypothesis.

Therefore, based on the given data, we cannot conclude that there are more than 70,000 defined words in the dictionary.

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Answer:

It is a same size scalene triangle as the original triangle.

Step-by-step explanation:

:)

Answer: Choice B

It is a same size scalene triangle as the original triangle.

Step-by-step explanation:

A. It is a smaller scalene triangle than the original triangle.

B.(It is a same size scalene triangle as the original triangle.)

C.It is a larger scalene triangle than the original triangle.

Answer:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Step-by-step explanation:

From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.

The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.

In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.

Therefore, the correct answer is:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer:

2

Step-by-step explanation:

The volume of the cylindrical coordinates is  \(\\&\left[\frac{128}{15}+\frac{8 \pi}{3}\right]\end{aligned}$$\).

Consider the integral \($\iiint_E(x+y+z) d V, E$\)  is the solid in the first octant that lies under the paraboloid \($z=4-x^2-y^2$.\)

Use cylindrical coordinates to evaluate the integral.

Recollect:

The cylindrical coordinates are:

\($$x=r \cos \theta, y=r \sin \theta \text { and } z=z$$$$x^2+y^2=r^2, d x d y=r d r d \theta, d z=d z .$$\)

Evaluate the limits of integration as shown below:

\($$\begin{aligned}z & =4-\left(x^2+y^2\right) \\& =4-r^2\end{aligned}$$\)

Substitute Z=0 in the above equation.

\($$\begin{aligned}4-r^2 & =0 \\r^2 & =4 \\r & =2\end{aligned}$$\)

The solid lies in the first octant.

Thus, the lower limit of all the integrals is 0 .

The region D is

\($$D=\left\{(r, \theta, z) \mid 0 \leq \theta \leq \frac{\pi}{2}, 0 \leq r \leq 2,0 \leq z \leq 4-r^2\right\}$$\)

Evaluate the integral as shown below:

\($$\begin{aligned}& \iiint_E(x+y+z) d V=\iiint_E(x+y+z) d z d y d x \\& =\int_0^{\frac{\pi}{2}} \int_0^2 \int_0^{4-r^2}(r \cos \theta+r \sin \theta+z) r d z d r d \theta \\& =\int_0^{\frac{\pi}{2}} \int_0^2\left[(r \cos \theta+r \sin \theta) z+\frac{z^2}{2}\right]_0^{4-r^2} r d r d \theta \\& =\int_0^{\frac{\pi}{2}} \int_0^2\left[(r \cos \theta+r \sin \theta)\left(4-r^2\right)+\frac{\left(4-r^2\right)^2}{2}\right] r d r d \theta \\\end\)

\(& =\int_0^{\frac{\pi}{2}} \int_0^2\left[(\cos \theta+\sin \theta)\left(4 r^2-r^4\right)+\frac{\left(16 r+r^5-8 r^3\right)}{2}\right] d r d \theta \\& =\int_0^{\frac{\pi}{2}}\left[(\cos \theta+\sin \theta)\left(\frac{4 r^3}{3}-\frac{r^5}{5}\right)+\frac{1}{2}\left(8 r^2+\frac{r^6}{6}-2 r^4\right)\right]_0^2 d \theta \\&\end{aligned}$$\)

Integrate w.r.to r

\($$\begin{aligned}& \iiint_E(x+y+z) d V=\int_0^{\frac{\pi}{2}}\left[(\cos \theta+\sin \theta)\left(\frac{32}{3}-\frac{32}{5}\right)+\frac{1}{2}\left(32+\frac{64}{6}-32\right)\right] d \theta \\&=\int_0^{\frac{\pi}{2}}\left[\frac{64}{15}(\cos \theta+\sin \theta)+\frac{16}{3}\right] d \theta \quad \text { Simplify. } \\&=\left[\frac{64}{15}(\sin \theta-\cos \theta)+\frac{16}{3} \theta\right]_0^{\frac{\pi}{2}} \\\end\)\(&=\left[\frac{64}{15}\left(\sin \frac{\pi}{2}-\cos \frac{\pi}{2}\right)+\frac{16}{3} \cdot \frac{\pi}{2}-\frac{64}{15}(\sin 0-\cos 0)+\frac{16}{3} \cdot 0\right] \\&=\left[\frac{64}{15}(1-0)+\frac{8 \pi}{3}\right.\left.-\frac{64}{15}(0-1)\right] \\&=\left[\frac{64}{15}+\frac{8 \pi}{3}+\frac{64}{15}\right] \\&=\left[\frac{128}{15}+\frac{8 \pi}{3}\right]\end{aligned}$$\)

Therefore, the volume of the solid is \(\\&\left[\frac{128}{15}+\frac{8 \pi}{3}\right]\end{aligned}$$\).

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Answer:

c. It does not appear to be within statistical control because there is an upward trend.

Step-by-step explanation:

Statistical process control is a method for quality control which employs statistical method to monitor and control process. It ensures operation efficiency and ensuring required specification to reduce wastes in production lines. Here the process variation is out of control because the statistical control has an upward trend.

9514 1404 393

Answer:

  (676 -169π) ft²

Step-by-step explanation:

The area of the square is ...

  A = s² = (26 ft)² = 676 ft²

The area of the circle is ...

  A = πr² = π(13 ft)² = 169π ft²

Then the shaded area is ...

  (676 -169π) ft²

Answer:

Step-by-step explanation:

answer; x=-9

Answer:

450

Step-by-step explanation:

You can easily calculate 337.5 is 75 percent of what number by using any regular calculator, simply enter 337.5 × 100 ÷ 75 and you will get your answer which is 450

The value of the angle θ is approximately 24.2 degrees to 1 decimal place.

In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.

To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:

θ = arctan(23/52)

Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.

Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.

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Answer:

12x  2 −48x+36

Step-by-step explanation:

Given:

given polynomial is

Find:

we have to find the leading coefficient and degree of the polynomial.

Explanation:

The lewading coefficient is the coefficient of highest power term of the polynomial.

Highest power of v is 8 and its coefficient is 4.

Therfore, leading coefficient is 4.

and the degree of the polynomial is equal to the highest power of v in the polynomial, which is 8.

Therefore, the leading coefficient of polynomial is 4 and degree is 8.

Answer:-αx-20=-14 --> \(\frac{-6}{x}\)

4=\(\frac{6}{a}\)×+5 --> a=-6

7+2ax=13---> a=\(\frac{3}{x}\)

Step-by-step explanation:

Answer:

7/2

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

starting equation is 15=0.75(x)+5.

You have to have the numbers on one side so...

15-5=10, and 5-5=0.

now, our equation is 10=0.75(x).

we are looking for x, so....

10/.75= 13 and 1/3.

since there is no such thing as a third of a song, 13 would be our number.

Answer:

11.93

Step-by-step explanation:

First find the amount of increase

11.20 *6.5%

11.20 *.065

0.728

Rounding to the nearest cent

.73

Add this to the original wage

11.20+.73

11.93

the budget deficit is,D = 843,130 $

the 40 % of the deficit is,

so, this year deficit is,

= D + 337252

= 843130 + 337252

= 1180382 $

thus, the total deficit of this year is 1180382 $

Answer:

ahow much did she earn(in dollars)

Answer:

(a) 13.04 x 7 = 91.28

9.75 x 15 = 146.25

91.28 + 146.25 =237.53

(b) 7 + 15 = 22

13.04 x 22 =286.88

Step-by-step explanation:

she earned 237.53

If she had worked all hours as a tutor instead of working both jobs, she would have made 286.88

Step-by-step explanation:

Let A represent the amount of money remaining on the card after buying x cups of coffee.

Each cup of coffee costs $1.50, so after buying x cups of coffee, Alexander would have spent 1.5x dollars. If the card had a $9 remaining balance after buying 4 cups of coffee, then the initial amount on the card must have been 1.5*4 + 9 = 15 dollars.

Therefore, the equation for A in terms of x is:

A = 15 - 1.5x

This equation gives the amount of money remaining on the card after Alexander buys x cups of coffee. For example, if Alexander buys 7 cups of coffee, then he would have spent 1.5*7 = 10.5 dollars, and the amount of money remaining on the card would be:

A = 15 - 1.5*7 = 4.5 dollars

The confidence interval is displayed as a horizontal line segment with a dot representing the sample portion in the middle of the interval is (0.387, 0.613).

Let the sample be p = 0.5

N = 75

The critical value for α = 0.05 is Zc = Z(1-α/2) = 1.96 . The corresponding confidence interval is computed as shown:

\(CI = (p - Zc \sqrt{\frac{p(1-p)}{n} } , p+Zc \sqrt{\frac{p(1-p)}{n})\)

CI = (0.387, 0.613)

Therefore, based on the data provided , the 95% confidence interval for the population proportion is 0.387<p<0.613, which indicated that we are 95% confident that the true population proportion p is contained by the interval (0.387, 0.613).

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Complete question:

Use the Confidence Intervals for Proportions applet. Set the population proportion to 0.5, the confidence level to 95% and the sample size to 75. 2. Click "Sample” to choose an SRS and display the resulting confidence interval. The confidence interval is displayed as a horizontal line segment with a dot representing the sample proportion in the middle of the interval. The true proportion (p) is the green vertical line.

Answer: rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

Step-by-step explanation:

Two triangles are congruent if all the corresponding angles are equal, and if the corresponding side lengths are equal.

Now, this means that if we have a given triangle, and we apply a dilation/contraction, then the resultant triangle will have different side lengths than the initial triangle, then those two triangles can not be congruent.

So we can already discard all the options with dilations.

Now, remember how the dilation works.

If we have a point that is at a distance L of the origin, and we do a dilation of scale factor K centered at the origin, then the new distance of the point and the origin will be K*L.

Notice that if the scale factor is equal to 1, then there is no change.

In the options, we have one where the scale factor is -1.

The minus sign means that will cause the enlargement to appear on the other side of the center of enlargement. But the scale factor still is of absolute value 1, so it will not change anything.

Then the only option that not dilates the triangle is:

Rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin

So this is the only transformation that results in a figure congruent to the triangle ABC

Answer:

a) = 14, because we solve the absolute value first, making it 9 + 5.

b) = 4, because we solve -9 + 5 first, which equals -4, then we solve the absolute value which is 4.

Answer:

a

b

Step-by-step explanation:

Answers

A)534.990

B)2.679

C)88.611

D)705.149

E)7905.432

F)3.771

Any number over 5 add 1

hope this helps

Answer:

F is not a function

Step-by-step explanation:

There is more than 1 corresponding y coordinate per x coordinate