Which expression is equivalent to 1/3?
1/3(y+12)-12
1/6y+1/3(y+3)
1/6y+1/6(y+12)-2
1/3y+1/3(6+y)

The number of suspects had less than two prior arrests are 3.

Given that, While reviewing the previous day’s arrest report.

Let x be the number of suspects have been arrested once before and y be the number of suspects arrested twice before.

Here, x+y=5 -----(i)

2x+3y=12 -----(ii)

From equation (i), x=5-y in equation (ii), we get

2(5-y)+3y=12

10-2y+3y=12

10+y=12

y=2

Substitute y=2 in equation (i), we get

x+2=5

x=3

Therefore, the number of suspects had less than two prior arrests are 3.

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Answer:

Correct Answer is 1 Only 5 x 2 5x2 is the second-degree term. Hence, the correct option is (1)

note :

hope i helped

Answer:

From top to bottom

radical

rational

exponential  

polynomial  

Step-by-step explanation:

It would have been nice if the graph was clearer so I could see x, y values but here goes

From top to bottom

radical :  appears to be a cube root function, \(a$\sqrt[3]{x}$ + b\)

rational : of the form \(a\dfrac{1}{x} + b\). Appears to be a function of the reciprocal of x so rational

exponential  of the form \(a^x + b\)

polynomial  of the form \(ax^2 + bx + c\)

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).

To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.

In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.

On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:

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Answer:

The walkway should be 2ft wide.

Step-by-step explanation:

Let x be the width of the walkway surrounding the pool.

The area including the pool is 560ft².

Let's solve for the value of x.

The length plus twice the width of the pool is multiplied by the width plus twice the width of the pool. This makes up the whole area.

A = lw

560 = (24 + 2x)(16 + 2x)

560 = 384 + 48x + 32x + 4x²

4x² + 80x + 384 - 560 = 0

4x² + 80x - 176 = 0

Divide the whole equation by 4

x² + 20x - 44 = 0

(x + 22)(x -2) = 0

x = -22; x = 2

Since we are dealing with dimensions, take the one with the positive value.

x = 2ft

Let's check

560ft² = (24ft + 2x)(16ft + 2x)

560ft² = (24ft + 2(2ft)) (16ft + 2(2ft))

560ft² = (24ft + 4ft)(16ft + 4ft)

560ft² = (28ft)(20ft)

560ft² = 560ft² ✔

The basic ratio of minutes of painting to minutes of instruction is 7 : 6

From the question, we have the following parameters that can be used in our computation:

Painting = 63 minutes

Instruction = 54 minutes

The ratio can be represented as

Ratio = Painting : Instruction

When the given values are substituted in the above equation, we have the following equation

Painting : Instruction = 63 : 54

Simplify

Painting : Instruction = 21 : 18

Simplify

Painting : Instruction = 7 : 6

This  ratio cannot be simplified

Hence, the solution is 7 : 6

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Answer: 89.21g

Step-by-step explanation:

36.81g + 52.40g = 89.21g

Answer:

Stephanie

Step-by-step explanation:

Answer:

steaphanie im pretty sure

Step-by-step explanation:

Answer:

A is the correct answer .

Step-by-step explanation:

Hope it helps dear .

Answer:A

Step-by-step explanation:

I took the test

Answer:

12g + 120t - 18

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define expression

6(2g + 20t - 3)

Step 2: Simplify

Answer:

12g+120-18

Step-by-step explanation:

just multiply all numbers by six

Answer:

y=2.2

Step-by-step explanation:

5(2.2)=11

9+11=20

if the level of significance is 0.01, we would expect to commit a Type I error 15 times out of 1,500 tests. if the level of significance is 0.05, we would expect to commit a Type I error 75 times out of 1,500 tests.

Assuming that the null hypothesis is true in all 1,500 tests, the probability of committing a Type I error (rejecting the null hypothesis when it is actually true) is equal to the level of significance (alpha) of the test.

(a) If the level of significance is 0.01, then the probability of committing a Type I error in one test is 0.01. Therefore, the expected number of Type I errors in 1,500 tests is:

Expected number of Type I errors = (number of tests) x (probability of Type I error per test)

= 1,500 x 0.01

= 15

So, if the level of significance is 0.01, we would expect to commit a Type I error 15 times out of 1,500 tests.

(b) If the level of significance is 0.05, then the probability of committing a Type I error in one test is 0.05. Therefore, the expected number of Type I errors in 1,500 tests is:

Expected number of Type I errors = (number of tests) x (probability of Type I error per test)

= 1,500 x 0.05

= 75

So, if the level of significance is 0.05, we would expect to commit a Type I error 75 times out of 1,500 tests.

(c) If the level of significance is 0.001, then the probability of committing a Type I error in one test is 0.001. Therefore, the expected number of Type I errors in 1,500 tests is:

Expected number of Type I errors = (number of tests) x (probability of Type I error per test)

= 1,500 x 0.001

= 1.5

So, if the level of significance is 0.001, we would expect to commit a Type I error 1.5 times out of 1,500 tests, which we round to 1 decimal place as 1.5 rounds to 2.

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Answer:

60 and 100

Step-by-step explanation:

Look for 2 multiples of 20 which are also factors of 300

No long explanation needed

Answer:

  x = 25

Step-by-step explanation:

The given angles, x° and (6x+5)° form a linear pair. You want the value of x.

Two angles that together form a straight line are called a linear pair. A linear pair of angles has a total measure of 180°.

  x° +(6x +5)° = 180°

  7x +5 = 180 . . . . . . . . . divide by °, collect terms

  7x = 175 . . . . . . . . . . subtract 5

  x = 25 . . . . . . . . . . divide by 7

The value of x is 25.

Answer:

100% B

Step-by-step explanation:

Answer:

The first choice: x^6y^5

Step-by-step explanation:

When you multiply exponential you add the exponents.

we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.

Let the cost of number of movies be x and the cost of number of video games be y.

So, the equations are:

5 x + 3 y = 39

2 x + 12 y = 75

2 x = 75 - 12 y

x = 75/2 - 6 y

Put it in the first one, we get that:

5 ( 75/2 - 6y) + 3y = 39

375/2 - 30 y + 3 y = 39

27 y = 187.5 - 39

27 y = 148.5

y = 148.5 / 27

y = $ 5.5

x = 75/2 - 6 y

x = 37.5 - 6 (5.5)

x = 37.5 - 33

x = $ 4.5

Therefore, we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.

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Answer:

12.7  ==> distance of RS

24.2 ==> distance of RT

Step-by-step explanation:

Distance is always positive. So if you get a negative value, take the absolute value of the negative number:

For example, between point R and S:

-17.2 - (-4.5) =

-17.2 + 4.5 =  ==> subtracting a negative number is equivalent to adding a

                           positive number

-(17.2 - 4.5) = -12.7

-12.7 ==> |-12.7| = 12.7  ==> distance of RS

For RT:

-17.2 - 7 =

-(17.2 + 7) = -24.2

-24.2 ==> |-24.2| = 24.2 ==> distance of RT

Total amount of money in the account will be $456.

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest.

The formula for simple interest is: Simple Interest = Principal × Rate × Time

Principal (P) is $300

Rate (R) is 6.5%

Time (T) is 8 years.

Simple Interest = $300 × 0.065 × 8

Simple Interest = $156

Total Amount = Principal + Simple Interest

Total Amount = $300 + $156

Total Amount = $456.

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Answer:

Circumference is the area around the whole circle

Step-by-step explanation:

Answer:

The circumference is 50.2

Step-by-step explanation

I worked it out by

C = 2 * π *

Given

Table

Procedure

Point A

50 mph 156.25 ft

Point B

70 mph 306.25 ft

Rate of change

A rate of change is a rate that describes how one quantity changes in relation to another quantity.

In this case, it means that increasing the speed by 1 mph will increase the braking distance by 7.5 ft.

The percent change is -25% that is decreased.

What is percent change ?

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. All of something is 100 percent , half of it is 50 percent , none of something is 0 percent.

Percent change equals the change in value divided by absolute value of original value and multiplied by 100.

Negative precent change :

When the change goes on decreasing, i.e. final value is less than original.

Positive percent change :

When the change goes on increasing i.e. final value is more than original.

In given que,

initial value = 8

final value = 6

change in value = 6-8

                           = -2

So, percent change = -2/8 *100 = -25%

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Answer: 4/10

Step-by-step explanation:

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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Answer:

The simpler case is the number:

n = a^7, where a is prime.

We use this so we avoid having cross numbers by multipliying different prime numbers. because for example lets compare:

2^2 = 4 has 3 divisors, 4, 2 and 1.

(4*4) = 16 has the divisors: 1, 2, 4, 8 and 16. (5 divisors).

Now let's mix primes:

2*3 = 6 has 3 divisors, 3, 2 and 1.

6*6 = 36

(3*2*1)*(3*2*1) = 36

then the divisors are:

3*3, 3*2, 3*1, 2*2, 2*1, 1*1, 3*2*2, ..., etc.

You can clearly see that this has a lot more divisors than the previous case.

Then returning to the answer:

a^7 can be divided by a, a^2, a^3, ..., and by itself, a^7 (and 1, so we have exactly 8 divisors).

Now, we can write:

n^2 = (a^7)^2 = (a^(2*7)) = a^14.

By the same logic that was used above, a^14 has 14 + 1 divisors.

Then the smallest number of divisors possible is 15.

Answer: 32

Step-by-step explanation:

Since \(\overline{FG} \parallel \overline{AC}\), we know that by the corresponding angles theorem, \(\angle BFG \cong \angle BAC\) and \(\angle BGF \cong \angle BCA\).

Thus, \(\triangle BFG \sim \triangle BAC\) by AA.

It follows that since corresponding sides of similar triangles are proportional,

\(\frac{36+90}{90}=\frac{CG+80}{80}\\ \\\frac{126}{90}=\frac{CG+80}{80}\\\left(\frac{126}{90} \right)(80)=CG+80\\112=CG+80\\CG=\boxed{32}\)

Therefore, the expected amount paid to the company under this policy during a one-year period is $4850.

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain. Probabilities can be calculated using different methods, depending on the nature of the event and the available information. In many cases, probabilities are estimated based on observations or data, and statistical methods are used to quantify the uncertainty or variability in the estimates. Probability theory is used in many areas of science, engineering, economics, finance, and other fields to model and analyze complex systems and phenomena, make predictions, and make decisions under uncertainty.

Here,

Let X be the random variable that represents the number of major snowstorms that shut down business in a year. Since X has a Poisson distribution with mean 1.5, we have:

P(X = 0) = \(e^{-1.5}\)* (1.5⁰ / 0!)

≈ 0.2231

P(X = 1) = \(e^{-1.5}\) * (1.5¹ / 1!)

≈ 0.3347

P(X = 2) = \(e^{-1.5}\) * (1.5² / 2!)

≈ 0.2510

P(X = 3) = \(e^{-1.5}\) * (1.5³ / 3!)

≈ 0.1255

The expected value of X is E(X) = λ = 1.5, which means the expected number of major snowstorms per year that shut down business is 1.5.

The policy pays nothing for the first snowstorm, so the expected amount paid for the first snowstorm is 0. For each subsequent snowstorm, the policy pays $9700. Therefore, the expected amount paid to the company under this policy during a one-year period is:

E(amount paid) = 0 + 9700 * E(X-1)

= 9700 * (E(X) - 1)

= 9700 * (1.5 - 1)

= $9700 * 0.5

= $4850

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