Marshall lives 2300 yards from school and 1500 yards from the pharmacy and his home are all Collinear what is the total distance the pharmacy to the school

The equation of the axis of symmetry of the parabola is equal to x = 4.

In this problem we find the representation of a parabola whose axis of symmetry is parallel with y-axis. The axis of symmetry passes through the vertex of the parabola. The definitions of the vertex and the axis of symmetry are, respectively:

Vertex

(x, y) = (h, k)

Axis of symmetry

x = h

If we know that h = - 4, then the equation of axis of symmetry is x = 4.

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Answer:

A

Step-by-step explanation:

20% of 60 is 12

Hope that helps

26950 is  the total amount he received at the end of seven years.

What is your interest in simple words?

Interest is the price you pay to borrow money or the cost of borrowing money. Interest is usually given as an annual percentage of the loan amount. This percentage is called the interest rate on the loan.  

given,

pv= 14100

r1-4= 8%

n = 7

r5-7= 12%

A) interest  = FV - PV

                 = PV * ( 1 + r )ⁿ - pv

                  = 14100 * ( 1 + 0.08)⁴ * ( 1 + 0.12)³ - 14100

                   = 26,950.59 - 14100

                     = $12850.59

b)   fv= pv * (1 + r)ⁿ

          = 14100 * ( 1 + 0.08)⁴ * ( 1 +0.12 )³

          = 26950

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Answer:

Dan

Step-by-step explanation:

To figure out who ate the most, you can convert each fraction to decimal form. Whichever value is the largest belongs to the person who ate the most of a Snickers.

6/7 = 0.86

3/4 = 0.75

0.86 is bigger than 0.75, which means that Dan ate more of a Snickers.

Answer:

  m = 20

Step-by-step explanation:

You want the value of m when (4m +10)° represents an angle of 90°.

The perpendicular bisector XZ intersects segment WY at right angles. The measure of a right angle is 90°, so we have ...

  (4m +10)° = 90°

Dividing by ° and subtracting 10 gives ...

  4m +10 = 90

  4m = 80

  m = 20 . . . . . . divide by 4

The value of m is 20.

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2 kg is better to buy

3.99/3= 1.33

2.59/2=1.29

so 2 kg is better

The volume of the rectangular, prism-shaped speaker is 455 cubic inches.

In three-dimensional space, prisms is a polyhedron where two ends are similar.

Given:

A stereo speaker in the shape of a rectangular prism has a height of 10 inches the length of the base of the stereo speaker is 6.5 inches and the width of the base is 7 inches.

The volume of the rectangular prism-shaped speaker,

= Length x width x height

= 10 x 6.5 x 7

= 455 cubic inches.

Therefore, the volume is 455 cubic inches.

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Answer: (total amount paid - $40) / 0.05

Step-by-step explanation:

Given the following :

Monthly fee = $40

Additional fee = $0.05 per minute on phone

Given the the amount paid for the month is available, number of minutes he was on phone can be determined thus :

Total amount to be paid = monthly fee + additional fee

Additional fee = $0.05 × n

Where n = number of minutes on phone

Hence,

Total amount paid = $40 + $0.05n

If the amount paid is known, the number of minutes on phone can be calculated thus;

(Total amount paid - monthly fee) = $0.05n

n = (Total amount paid - monthly fee) / fee per minute on phone

(total amount paid - $40) / 0.05

Answer:

expression on the right

Step-by-step explanation:

If the total number of comic books owed by tanner and scott is the same. The number of books that are in each set is 7.

Let x represent the number of book in each set

Let   3x + 5 represent tanner

Let x + 19 represent  Scott

Now let equate  the equation

3x + 5 = x + 19

Collect like terms

3x -x = 19 -5

2x = 14

Divide both side by 2x

x = 14/2

x =7

Therefore the number of books is 7.

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Answer:

m∡ZA = 51°

m∡ZB = 39°

Step-by-step explanation:

∡ZB = 'b'

∡ZA = '12 + b'

b + 12 + b = 90

2b + 12 = 90

2b = 78

b = 39

12 + 39 = 51

Answer:

0.0082 = 0.82% probability that the mean battery life would be greater than 523.8 minutes

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

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

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Standard deviation of 86 minutes with a mean life of 505 minutes.

This means that \(\sigma = 86, \mu = 505\)

Sample of 120:

This means that \(n = 120, s = \frac{86}{\sqrt{120}}\)

What is the probability that the mean battery life would be greater than 523.8 minutes?

This is 1 subtracted by the p-value of Z when X = 523.8. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{523.8 - 505}{\frac{86}{\sqrt{120}}}\)

\(Z = 2.39\)

\(Z = 2.39\) has a p-value of 0.9918.

1 - 0.9918 = 0.0082

0.0082 = 0.82% probability that the mean battery life would be greater than 523.8 minutes

Answer:

m=0

Step-by-step explanation:

Add

13m

and

24m

.37

m=

41m

Move all terms containing m

to the left side of the equation.

Answer:11/2-5/7

Step-by-step explanation:

The the vertices of reflected square, Q'R'S'T are Q' = (3, 1), R' = (-8, -2), S' = (-7, -7) and T' = (-2, -6)

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Given that, a square QRST with vertices Q(-3, 1), R(8, -2), S(7, -7) and T(2, -6)

is reflected across y-axis, to form Q'R'S'T we need to find the vertices of reflected square.

We know that, rule of reflection over y-axis,

(x, y) → (-x, y)

Q' = (3, 1)

R' = (-8, -2)

S' = (-7, -7)

T' = (-2, -6)

Hence, the the vertices of reflected square, Q'R'S'T are Q' = (3, 1), R' = (-8, -2), S' = (-7, -7) and T' = (-2, -6)

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The correct answer is A. a characteristic of the population.

A population parameter refers to a specific characteristic

A population parameter refers to a specific characteristic or numerical value that describes the entire population being studied. It is a fixed value that is typically unknown and estimated using sample data. Examples of population parameters include the population mean, population standard deviation, population proportion, etc.

Answer:

-5, 10, 12, 14, 15, 20, 25

Answer:

It is C!!!

Step-by-step explanation:

(40- owl) (120- lion) (40- bear) (30 or 40-hawk) (60- tiger). Add them and thats your answer

Answer:

C

290

Step-by-step explanation:

Answer:

\(\log _972 = 1.9463\)

Step-by-step explanation:

Given

\(\log_972\)

Required

Solve

Using the following laws of logarithm

\(\log _ab = \frac{\log b}{\log a}\)

We have:

\(\log _972 = \frac{\log 72}{\log 9}\)

Express 72 as 9 * 8

\(\log _972 = \frac{\log (9 * 8)}{\log 9}\)

So, we have:

\(\log _972 = \frac{\log (9) + \log(8)}{\log 9}\)

Split

\(\log _972 = \frac{\log (9)}{\log 9} + \frac{\log(8)}{\log 9}\)

\(\log _972 = 1 + \frac{\log(8)}{\log 9}\)

Express 8 and 9 as exponents

\(\log _972 = 1 + \frac{\log(2^3)}{\log 3^2}\)

This gives:

\(\log _972 = 1 + \frac{3\log 2}{2\log 3}\)

\(\log 2 = 0.3010\)

\(\log 3 = 0.4771\)

So, we have:

\(\log _972 = 1 + \frac{3*0.3010}{2*0.4771}\)

\(\log _972 = 1 + \frac{0.9030}{0.9542}\)

\(\log _972 = 1 + 0.9463\\\)

\(\log _972 = 1.9463\)

Answer:

Answer:

5 bags

Step-by-step explanation:

Answer: -25

Step-by-step explanation: 8 - x = 17 ~ x=-9                         6*(-9)-22=-25

Factor this expression means to find two numbers x and y such that we can write f(a) = (a+x)(a+y).

To do this, we use the quadratic formula

so, one answer is

and the other one

To find the factors we use the solutions

Then, the factorization is

Hello!

AC = AO + OC

The Pythagorean theorem!

AB² = BO² + AO²

AO² = AB² - BO²

AO² = 10² - 8²

AO² = 36

AO = √36

AO = 6

BC² = BO² + OC²

OC² = BC² - BO²

OC² = 17² - 8²

OC² = 225

OC = √225

OC = 15

So AC

= AO + OC

= 6 + 15

= 21

Answer:

AC = 21

Step-by-step explanation:

To find the length of AC, we have to first find the lengths of AO and OC and then add them together.

To find both the lengths of AO and OC, we have to use the Pythagorean theorem:

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

where:

c ⇒ length of the hypotenuse (longest side)

a, b ⇒ lengths of the two shorter sides

First, to find the length of AO, we can consider the triangle OAD. For this triangle, AD is the hypotenuse. Therefore,

AO² + OD² = AD²

⇒ AO² + 8² = 10²

⇒ AO² + 64 = 100

⇒ AO² = 100 - 64

⇒ AO² = 36

⇒ AO = √36

⇒ AO = 6

Next, to find the length of OC, we can consider the triangle OCD, whose hypotenuse is CD. Therefore,

OC² + OD² = CD²

⇒ OC² + 8² = 17²

⇒ OC² + 64 = 289

⇒ OC² = 289 - 64

⇒ OC² = 225

⇒ OC = √225

⇒ OC = 15

Now we can simply add the lengths of AO and OC to find the length of AC:

AC = AO + OC

⇒ AC = 6 + 15

⇒ AC = 21

Therefore, the length of AC is 21 units.

Answer:

your answer is 91 over 5

Step-by-step explanation:

Answer:

its 2 with a power of 3 over ten.

Step-by-step explanation:

I got it wrong and just clicked show correct answer.

Answer:

67

Step-by-step explanation:

a circle = 360

133 + 133 = 266

360 - 226 = 134

134 ÷ 2 = 67