what is the equation written in vertex form of a parabola with a vertex of (9,-1) that passes through (7,7)?

Answer:

SMALLEST TO GREATEST

102 mm --> 125 mm --> 10.4 cm --> 0.12 m.

Explanation:

Millimeters (mm) is smaller than centimeters (cm). Centimeters are smaller than meters (m).

And, since both 125 mm and 102 mm has the same units of measurement, 125>102.

So, 102 goes in front of 125.

And then the rest of the order is completed by comparing the units of measurement.

The graph that represents the solution to the system of inequalities is graph (a).

What is system of inequality?

A group of two or more inequalities in one or more variables is referred to as a system of inequalities. When a problem requires a variety of solutions and those solutions must satisfy multiple constraints, systems of inequalities are used.

The given system of inequalities is,

y < -3x - 2

y ≤ x - 2

y < -3x - 2 means that the left-hand side of the inequality will be shaded, and the line of the inequality will be a dotted line.

y ≤ x - 2 means that the left-hand side of the inequality will be shaded, and the line of the inequality will be a closed line.

The above highlights means that the shaded region that represent the solution to the system of inequalities will be at the left-hand side

Hence, graph (a) represents the system of inequalities.

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The probability of randomly choosing a green marble after you have chosen red is 4.4%

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Given

A jar has 20 marbles: 3 green, 12 blue, 5 red.

Probability;

In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

The probability of choosing a green marble is =  Number of green marbles / New total number of marbles

= 3/19

Therefore,

The probability of randomly choosing a green marble after you have chosen red is;

= 5/20 * 3/19

= 3/68

percentage = 3/68 * 100 = 4.4%

Hence, the probability of randomly choosing a green marble after you have chosen red is 4.4%

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Step-by-step explanation:

a = k/m    or       ma = k    

using 4 and 9     4* 9 = k = 36

then the equation becomes:

    ma = 36    

  using a = 6

      6 * m = 36     shows m = 6 kg

Answer:

-5 =x

Step-by-step explanation:

15/x = -3

Multiply each side by x.

15 = -3x

Divide each side by -3.

15/-3 = x

-5 =x

Answer:

x = -5

Step-by-step explanation:

\(\sf \frac{15}{x} =-3\)

Multiply both sides by x.

15 = -3x

Divide both sides by -3.

-5 = x

Step-by-step explanation:

18/x is the same as 18•x-¹

derivative of ax^n=n•ax^n-1

derivative of 18•x-¹= -1•18•x-²

= -18x-² which is the same as -18/x²

hence 2-18/x²

The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.

To find the present value of an annuity, we can use the formula:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.

In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.

Plugging in these values into the formula, we get:

PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05

Simplifying the equation, we find:

PV ≈ 200 * (1 - 0.12198) / 0.05

PV ≈ 200 * 0.87802 / 0.05

PV ≈ 35160.4 / 0.05

PV ≈ 7032.08

Therefore, the present value of the annuity is approximately `7032.08.

None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.

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Answer:

câu này là 500 nhen

Answer:

5x^5

Step-by-step explanation:

45x/9x = 5x

15 - 10 = 5

5x^5

a constant is a term.

A term refers to a number or variable or a combination of number and variable

A constant is a term without variables

For instance:

5x - 8

5x is a term as it is a combination of number and a variable

x is the variable

-8 is a number and a constant as it doesn't have a variable attached to it.

-8 is also a term.

Hence, a constant is a form of a term.

Answer:

The answer is m = -1/2

Step-by-step explanation:

Answer:

Y = -128

Step-by-step explanation:

X is 36

Answer:

0.125

Step-by-step explanation:

beacuse you would turn the mixed number into a improper fraction and then subtract or turn them into decimals which would be 0.125

Answer:

1/8 is the answer  

Decimal Form:

0.125

Step-by-step explanation: Convert the mixed numbers to improper fractions, then find the LCD and combine.

if we  that Abby spent 50% of her time on School, 30% on Work, and 20% on Sleep, we can estimate that she spent:

100% - (50% + 30% + 20%) = 100% - 100% = 0% on Other.

If Abby divided her time into four categories (School, Work, Other, and Sleep), the percentage she spent on Other would be 100% less the sum of the percentages she spent on School, Work, and Sleep.

So, assuming Abby spending 50% of her time at school, 30% at work, and 20% sleeping, we can estimate she spent:

On Other, 100% - (50% + 30% + 20%) = 100% - 100% = 0%.

However, this is just a guess based on assumptions about how Abby spent her time. It's difficult to provide a more accurate estimate without more information.

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Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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Hence, there is a 0.68 percent probability that the fifth driver will be the one that police officer summons over while wearing a safety belt.

The word "probability" derives from the Latin word "propitiate," which means "credibility, probability," from the noun probabilism in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

Part A:

The likelihood that precisely 3 drivers are buckled up can be determined using the binomial probability formula:

P(X = 3) = (5 choose 3) × (0.68)³ × (0.32)²

Where (5 choose 3) = 10 is the number of ways to choose 3 drivers out of 5.

P(X = 3) = 10 × 0.68³ × 0.32²

P(X = 3) = 0.267

Consequently, there is a 0.267 percent chance that all 3 drivers are buckled up.

Part B:

The fifth driver will be pulled by by the police officer since 4 other drivers have already been stopped. We are looking for the likelihood that the motorist is wearing a safety belt.

Since 68% of drivers are safety belt wearers, there is a 0.68 percent chance that the following motorist will be as well.

Thus, there is a 0.68 percent chance that the next vehicle the police officer pulls over is driven by a person wearing a safety belt.

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Answer:

The last option: 3 x (7 + 2) = (3 x 7) + (3 x 2)

Step-by-step explanation:

There is addition on the inside, and you are distributing the multiplication from the outside.

Answer:

Solution: First option

Step-by-step explanation:

An increase in demand and a decrease in supply will cause an increase in the equilibrium price, but the effect on quantity is unclear.

Reasoning: For any quantity, the 'buyers' places a higher value on the goods, so the 'manufactures' must place higher values in order to distribute the good. Thus the price increases, but the output depends on the size of the two factors and which dominates, (1) pricing, (2) goods.

Answer:

I think the answer is x^2

Answer: x^2+4

Step-by-step explanation:

It would be more than the other numbers with exponents since it has a plus 2.

Step-by-step explanation:

In the image, we are presented a box plot, which has the minimum, lower quartile, the median, the upper quartile and the maximum. In order to find the median, we would need to add all of the scores (which are dots in the graph) and then divide it by the number of it. However, a box plot does not show to exact scores that all team members of the two teams got. Therefore, we are unable to find the mean with this. Standard deviation is where a set of dot data leans, which is not displayed in the image too. So, the answer is B.

Answer:

3 and a half hours

Step-by-step explanation:

just divide 210 by 60

Answer:

One number is 43 and the other is -29

Step-by-step explanation:

If you add and subtract 36 it shows both possible answers, this is because it doesn't tell us if it is more or less than 7 so it could only be those 2 numbers

Answer:

\(f(x)= 2x^{2} - 3x +28\\f(-2) = 2(-2^{2}) - 3(-2) +28\\f(-2) = 8 +6+28\\f(-2) = 42\)

Answer:

90,000

Step-by-step explanation:

As an estimate

200 * 450

which is 90,000

Answer:

1/5

Step-by-step explanation: