Which equation represents the parabola with focus (8, 4) and vertex (8, - 2)

Answer:

q = 3m

Step-by-step explanation:

We know that segment HF is half of IJ, therefore we can say;

IJ / 2 = HF or q

6 / 2 = HF or q

3 = HF or q

Hope this helps!

Answer:

2+4+5 = 11. since there are 5 green marbles the answer is 5/11

Answer:

Hello! answer: 10

Step-by-step explanation:

x = 10 because...

10 × 3 = 30 30 + 5 = 35 35 + 55 + 90 = 180 therefore x = 10 hope that helps!

Answer:

[tex]c=\sqrt{174}[/tex]

Step-by-step explanation:

First, find the length of MP. This can be done with the Pythagorean Theorem.

We can use x as angle MP.

a² + b² = c²

10²+ 7² = x²

100 + 49 = x²

x² = 149

Take the square root to get

x = √(149)

Now do the Pythagorean Theorem for Triangle MNP. We can again use x for angle NP.

a² + b² = c²

5² + √(149)² = c²

25 + 149 = c²

c² = 174

c = √(174)

9514 1404 393

Answer:

  equation: y = 4x

  graph is attached

Step-by-step explanation:

Let y represent the cost of the peaches in dollars. Let x represent their weight in pounds. Then the relation between the two variables is ...

  cost = (cost per pound) × (pounds)

  y = 4x

__

This graphs as a line through the origin with a slope of 4. In the attached, the x- and y-axes have different scales so more of the graph can be seen.

9514 1404 393

Answer:

  63.7% or 33.35 miles

Step-by-step explanation:

The hint suggests that we find the points where the drive begins and ends picking up the transmitter. We suspect both of those points will have irrational coordinates, so finding the distance between them will involve dealing with squares and roots of irrational numbers. We want to see if there's an easier way.

The distance from the transmitter to the path being driven can be found using the "distance to a line" formula. First, we need the equation of the line in general form. In intercept form, it is ...

  y/38 +x/36 = 1

  19x +18y -684 = 0 . . . . . . multiply by LCM(36, 38) and subtract that amount

Then the distance from the origin to the line is ...

  d = |19·0 +18·0 -684|/√(19² +18²) = 685/√685 ≈ 26.1243

The distance (x) along the line from the point where the transmitter is first picked up until the point of closest approach can be found from the Pythagorean theorem:

  x² + (26.1243)² = 31²

  x² = 31² -(684/√685)² = 190429/685

  x ≈  16.6733

The driving distance for which the transmitter is picked up is twice this, so is ...

  2x = 2(16.6733) ≈ 33.3466 . . . miles

The total drive length is also given by the Pythagorean theorem:

  drive length = √(36² +38²) = √2740 ≈ 52.3450 . . . miles

Then the fraction of the drive during which the signal is picked up is ...

  fraction = (33.3466 mi)/(52.3450 mi) ≈ 0.6371 ≈ 63.7%

__

The signal is picked up for 33.35 miles, about 63.7% of the drive.

______

The intercept-form equation for a line is ...

  x/(x-intercept) +y/(y-intercept) = 1

The distance from (x, y) to line ax+by+c=0 is given by ...

  d = |ax+by+c|/√(a²+b²)

The Pythagorean theorem relates legs a, b and hypotenuse c of a right triangle this way:

  c² = a² +b²

An absolute value is always a positive value

The absolute value for |-43| would be 43

Suppose Easton entered in * x * shows , So we have :

60/100 × x = 15

x = 1500/60

x = 150/6

x = 25

Thus he entered 25 shows last year.

Answer:

Your correct answer is C. y = 1

Hoped this helped!

briniliest, pls?

Answer:

a) The null hypothesis is [tex]H_0: p \leq \frac{2}{3}[/tex] and the alternate hypothesis is [tex]H_1: p > \frac{2}{3}[/tex].

b) The sample proportion is 0.6710.

Step-by-step explanation:

Question a:

An airline promotion to business travelers is based on the assumption that no more than two-thirds of business travelers use a laptop computer on overnight business trips.

At the null hypothesis, we test if the proportion is two-thirds or less, that is:

[tex]H_0: p \leq \frac{2}{3}[/tex]

At the alternate hypothesis, we test if the proportion is of more than two-thirds, that is:

[tex]H_1: p > \frac{2}{3}[/tex]

b. What is the sample proportion from an American Express-sponsored survey that found 359 of 535 business travelers use a laptop computer on overnight business trips (to 4 decimals)?

359 out of 535 is 359/535 = 0.6710.

The sample proportion is 0.6710.

Answer:

97 students must be randomly selected for IQ tests.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The Standard Deviation is 15.

This means that [tex]\sigma = 15[/tex]

How many statistics students must be randomly selected for IQ tests if we want 95% confidence that the sample mean is within 3 IQ points of the population mean?

This is n for which M = 3. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]3 = 1.96\frac{15}{\sqrt{n}}[/tex]

[tex]3\sqrt{n} = 1.96*15[/tex]

Simplifying both sides by 3

[tex]\sqrt{n} = 1.96*5[/tex]

[tex](\sqrt{n})^2 = (1.96*5)^2[/tex]

[tex]n = 96.04[/tex]

Rounding up(as with a sample size of 96 the margin of error will be slightly above 3):

97 students must be randomly selected for IQ tests.

Answer:

cross multiply

(3+2) 10^3==

5*10^3

Answer:

Option a.

Step-by-step explanation:

By looking at the options, we can assume that the function y(x) is something like:

[tex]y = \sqrt{4 + a*x^2}[/tex]

[tex]y' = (1/2)*\frac{1}{\sqrt{4 + a*x^2} }*(2*a*x) = \frac{a*x}{\sqrt{4 + a*x^2} }[/tex]

such that, y(0) = √4 = 2, as expected.

Now, we want to have:

[tex]y' = \frac{x*y}{2 + x^2}[/tex]

replacing y' and y we get:

[tex]\frac{a*x}{\sqrt{4 + a*x^2} } = \frac{x*\sqrt{4 + a*x^2} }{2 + x^2}[/tex]

Now we can try to solve this for "a".

[tex]\frac{a*x}{\sqrt{4 + a*x^2} } = \frac{x*\sqrt{4 + a*x^2} }{2 + x^2}[/tex]

If we multiply both sides by y(x), we get:

[tex]\frac{a*x}{\sqrt{4 + a*x^2} }*\sqrt{4 + a*x^2} = \frac{x*\sqrt{4 + a*x^2} }{2 + x^2}*\sqrt{4 + a*x^2}[/tex]

[tex]a*x = \frac{x*(4 + a*x^2)}{2 + x^2}[/tex]

We can remove the x factor in both numerators if we divide both sides by x, so we get:

[tex]a = \frac{4 + a*x^2}{2 + x^2}[/tex]

Now we just need to isolate "a"

[tex]a*(2 + x^2) = 4 + a*x^2[/tex]

[tex]2*a + a*x^2 = 4 + a*x^2[/tex]

Now we can subtract a*x^2 in both sides to get:

[tex]2*a = 4\\a = 4/2 = 2[/tex]

Then the solution is:

[tex]y = \sqrt{4 + 2*x^2}[/tex]

The correct option is option a.

Answer:

-11

Step-by-step explanation:

let f(c) = 4c - 3

f(-2) = 4(-2) - 3 = -8 -3 = -11

Answer:

-11

Step-by-step explanation:

4c - 3

c = -2

4(-2) - 3

-8 - 3

-11

4c - 3 = -11 when c = -2

Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 90 grams and a standard deviation of 2 grams.

This means that [tex]\mu = 90, \sigma = 2[/tex]

What percentage of the grasshoppers weigh between 86 grams and 94 grams?

The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So

X = 94

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{94 - 90}{2}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.9772.

X = 86

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{86 - 90}{2}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544*100% = 95.44%

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

Answer:

35

Step-by-step explanation:

Here we see 5 black keys for every 7 white keys.

So the ratio is 5:7

If we need 49 white keys, find the amount we scale the original ratio by:

    49/7 = 7

So we are scaling by a factor of 7.

The number of black keys would be 5 * the scale of 7. = 35

So there should be 35 black keys.

Using proportions, it is found that 35 black keys appear on a portable keyboard with 49 white keys.

The rule of three is:

7 white keys - 5 black keys

49 white keys - x black keys

Applying cross multiplication:

[tex]7x = 49 \times 5[/tex]

Simplifying both sides by 7:

[tex]x = 7 \times 5 = 35[/tex]

Hence, 35 black keys will appear.

A similar problem, also involving proportions, is given at https://brainly.com/question/24372153

Answer:

Yes I would

Step-by-step explanation:

You would not have enough test subjects to have an accurate survey.

Answer:

2x+6=0 x-4=0 2x=-6 x=-3 x=4

Answer:

- 3 and 4

Step-by-step explanation:

Answer:

B is the answer trust me I already took the math.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the area of the garden:

Number of plants:

Answer:

Solution given:

perpendicular [P]=15m

base[B]=8m

hypotenuse [H]=17m

rate :4 plants per square metre

no of plants=?

we have

Area of triangular garden: ½(P*B)=½(15*8)=60m²

Now

Total no of plants =rate ×Area =4×60=240

Michael needs 240 plants in the garden.

Answer:

18312.5mm³

Step-by-step explanation:

Given parameters:

Height of cylinder  = 18mm

radius  = 18mm

Unknown:

Volume of the cylinder = ?

Solution:

The volume of cylinder is given as;

 Volume  = π r ² h

Insert the given parameters and solve;

 Volume  = 3.14 x 18² x 18

 Volume  = 18312.5mm³

Answer:

282.6

Step-by-step explanation:

volume= h*(pie*r^2)

3*3=9

9*pie=28.26

10*28.6=282.6

Answer: D y>2x-1

y<1/3x+1

Step-by-step explanation: I took the test and got it right

The points (0, 0) and (6/5, 7/5) are solutions to the system of inequalities D y>2x-1 and y<1/3x+1 which is correct options (D).

Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Given the system of inequalities as

y>2x-1 and y<1/3x+1.

To determine the solutions, you first have to graph both of the lines in the problem.

y = 2x-1 and y = 1/3x+1. Then, to shift them to inequality, you have to shade the half-plane that they represent.

The solution is the space that they have in common. In this case, it will be on the right side of the graph.

The points (0, 0) and (6/5, 7/5) are included in the shaded region they have in common.

Hence, the points (0, 0) and (6/5, 7/5) are solutions to the system of inequalities y>2x-1 and y<1/3x+1.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

forty two lakh seventy eight thousand two hundred and six

Step-by-step explanation:

you would do 25 / 25 and 176 / 25 and you would get 1 petrol and 7.04 miles

then 1 times 44 and 7.04 times 44 and that would be 44 petrol and 309.76 miles

Answer:

A non-equilateral rhombus.

Step-by-step explanation:

We can solve this graphically.

We start with square:

ABCD

with:

A = (11, - 7)

B = (9, - 4)

C = (11, - 1)

D = (13, - 4)

Only with the vertices, we can see that ABCD is equilateral, as the length of each side is:

AB = √( (11 - 9)^2 + (-7 -(-4))^2) = √( (2)^2 + (3)^2) = √(4 + 9) = √13

BC =  √( (11 - 9)^2 + (-1 -(-4))^2) = √13

CD =  √( (11 - 13)^2 + (-1 -(-4))^2)  = √13

DA =  √( (11 - 13)^2 + (-7 -(-4))^2) = √13

And we change C by C' = (11, 1)

In the image you can see the 5 points and the figure that they make:

The figure ABCD is a rhombus, and ABC'D is also a rhombus, the only difference between the figures is that ABCD is equilateral while ABC'D is not equilateral.

Answer:

74 units squared

Step-by-step explanation:

we know that the area of a square or rectangle is A = L × w

so we should just separate the object into it's individual rectangles/squares, solve for their areas, then add them together.

so I'll start with the middle square its length is 8 and width is 8 too.

A = 8 × 8

A = 64

now we'll move on to the other small ones to the side.

the one on the right side it's length is 2 and width is 2.

A = 2 × 2

A = 4

and then the last one on the left, Length is 3, width is 2.

A = 2 × 3

A = 6

now we'll add up all of the areas to get the total area.

Total = 64 + 4 + 6

Total = 74 units squared

Answer:

8.25

[tex]8\frac{1}{4}[/tex]

Step-by-step explanation:

n + r + a

6 + 0.25 + 2

8 + 0.25

8.25