Stefan sells Jin a bicycle for $162 and a helmet for $18. The total cost for Jin is 150% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin? Stefan originally spent $​

Recall that the maximum/minimum value of a function is the place where a function reaches its highest/lowest point.

We know that:

Multiplying the above result by 2 we get:

Subtracting 1 from the above inequality we get:

Therefore f(x) reaches a minimum at:

And f(x) reaches a maximum at:

Answer: Option C.

Answer:

The answer is M + 2, if thats wat ur asking for.

Step-by-step explanation:

Answer:

M+2

Step-by-step explanation:

M+12-10

Since there are only 12 and -10 that are the same you can add them together to get 2 and that is pretty much what you could do unless you find what M is.

Hope this helps!

The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.  

The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution.  Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.

Given that,

Perimeter = 2(l + b) = 50cm

And also given that,

l = 2 + 3b

Substituting the value of l in perimeter we get

2((2 + 3b) + b) = 50cm

2(2 + 4b) = 50cm

4 + 8b) = 50cm

8b = 50 - 4

b = 46/8

b = 5.75

Substituting the value of b in l, we get

l = 2 + 3(5.75)

l = 19.25

Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.

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Answer:5.1+7<-3

Step-by-step explanation:

Express the given Complex number in the form a + ib: (1/3+i 7/3)+(4+i ... Ex 5.1, 7 - Chapter 5 Class 11 Complex Numbers (Term 1).

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Using the normal distribution and the central limit theorem, it is found that:

\(P(246 \leq \bar{x} \leq 260) = 0.5693\)

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

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

In this problem:

The probability of a sample mean between 246 and 260 is the p-value of Z when X = 260 subtracted by the p-value of Z when X = 246, hence:

X = 260:

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

By the Central Limit Theorem

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

\(Z = \frac{260 - 250}{8.3333}\)

\(Z = 1.2\)

\(Z = 1.2\) has a p-value of 0.8849.

X = 246:

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

\(Z = \frac{246 - 250}{8.3333}\)

\(Z = -0.48\)

\(Z = -0.48\) has a p-value of 0.3156.

0.8849 - 0.3156 = 0.5693, hence:

\(P(246 \leq \bar{x} \leq 260) = 0.5693\)

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Answer:

5

Step-by-step explanation:

5+7

Answer:

The answer is A

Step-by-step explanation:

There are two solutions.

Slope = 17

y - intercept = (0,1)

The two solutions is

(0,1) and (1,18)

So he is right

Answer:

Step-by-step explanation:

a

Answer:

--------------------------------------------

The Step 2 involves grouping of factors for easy calculation.

This is called the associative property of multiplication.

The matching choice is A.

3. Distributive Property

The important variables are the two types of test questions which can be represented as :

Variables are used to represent unknown values which could be worked out in a mathematical expression or problem.

The variables or unknown in this case are the type of test questions. which are : m for multiple choice, s for short answer

Therefore, the correct option is C. m for multiple choice, s for short answer

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Answer:

Step-by-step explanation:

Area is equal to 1/2 times base times height

1/2 × 4 × 8= 16 m²

Answer:

16m

Step-by-step explanation:

area = base x height x 1/2

4 x 8 x 1/2

4 x 8 = 32

32 x 1/2= 16

Answer: your answer would be (-2,-2)

X=(-2)

Y=(-2)

Step-by-step explanation:

Answer:

the bigger angle is 119

the smaller one is 61

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..

To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.

Substituting t = 4 into the equation:

A = 39500(0.86)^4

A ≈ 39500(0.5996)

A ≈ 23726.20

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.

This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.

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Answer:

a: 17m + m

Step-by-step explanation:

Each one can answer 17 questions in 1 minute.

Each one can answer 17m questions in m minutes.

The total they can answer is 17m + 17m = 34m.

Every expression that is equal to 34m represents the amount they can both answer in the same number of minutes.

The expression we are looking for does not equal 34m.

a: 17m + m  = 18m

b: 34m  = 34m

c: 2(17m)  = 34m

d: 17m + 17m = 34m

Only choice a does not equal 34m.

Answer: a: 17m + m

Answer:

(2a^3a^4)^5 simplifies to 32a^35.

Step-by-step explanation:

To simplify (2a^3a^4)^5, we can use the properties of exponents which states that when we raise a power to another power, we can multiply the exponents. Therefore, we can rewrite the expression as:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5

Next, we can simplify the expression inside the parentheses by multiplying the exponents:

a^3a^4 = a^(3+4) = a^7

Substituting this into our expression, we get:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5 = 2^5 * a^35

Finally, we can simplify this expression by using the property of exponents that states that when we multiply two powers with the same base, we can add their exponents. Therefore, we can rewrite the expression as:

2^5 * a^35 = 32a^35

Therefore, (2a^3a^4)^5 simplifies to 32a^35.

Answer:

The probability that a randomly selected infant has a birth weight between 100 ounces and 140 ounces is 68%.

The probability that a randomly selected infant has a birth weight between 110 and 130 is 38%.

Step-by-step explanation:

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.

Mean of 120 ounces and a standard deviation of 20 ounces.

This means that \(\mu = 120, \sigma = 20\)

The probability that a randomly selected infant has a birth weight between 100 ounces and 140 ounces is

p-value of Z when X = 140 subtracted by the p-value of Z when X = 100.

X = 140

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

\(Z = \frac{140 - 120}{20}\)

\(Z = 1\)

\(Z = 1\) has a p-value of 0.84

X = 100

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

\(Z = \frac{100 - 120}{20}\)

\(Z = -1\)

\(Z = -1\) has a p-value of 0.16

0.84 - 0.16 = 0.68

The probability that a randomly selected infant has a birth weight between 100 ounces and 140 ounces is 68%.

The probability that a randomly selected infant has a birth weight between 110 and 130

This is the p-value of Z when X = 130 subtracted by the p-value of Z when X = 110.

X = 130

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

\(Z = \frac{130 - 120}{20}\)

\(Z = 0.5\)

\(Z = 0.5\) has a p-value of 0.69

X = 110

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

\(Z = \frac{110 - 120}{20}\)

\(Z = -0.5\)

\(Z = -0.5\) has a p-value of 0.31

0.69 - 0.31 = 0.38 = 38%.

The probability that a randomly selected infant has a birth weight between 110 and 130 is 38%.

Answer:

34.8 + 6.879 = 41.679

The ratio of boys to girls in the school’s choir is 3:4. If there

are 12 girls in the choir then there are 9 boys

45% of 175 is 78.75

8^2 - (5^2+ 1) = 38

Brainliest?

hey I got a question what grade that math from

Answer:

106

Step-by-step explanation:

thanks me later

Answer:

Step-by-step explanation:

From the given information:

For X to be valid, the possible values of X should be greater than zero i.e. X > 0

If X obeys a lognormal distribution

Then; Y = In X

So,

Now,

\(E(X) = e^{0.353} + \dfrac{1}{2}(0.754)^2\)

\(E(X) = 1.8913\)

Also;

\(V(X) = e^{2 \times 0.353 + 2(0.754)^2} -e^{2\times 0.353 + (0.754)^2}\)

V(X) = 2.7387

∴

SD(X) = 1.6549

\(P(1 < X < 2) = P(X < 2) - P(X < 1)\)

= 0.108

Answer:

x=17

Step-by-step explanation:

See attached.

Because of the Triangle Proportionality Theorem,

24: (2x-4)+6

20: 2x-4

Cross multiply these two ratios

48x-96 = 40x-80+120

Isolate variable: 8x = 96-80+120

Solve: 8x = 136

x=17

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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The travelled distance of the traveller is equal to 195 kilometers.

According to the statement of the problem, a traveller already walked a third part of his trail and if he travels the half of his trail, then the half of his trail shall be covered. Mathematically, the travelled distance shall be described by following expression:

x = d / 3

x + 65 = d / 2

Where:

Now we proceed to determine the travelled distance:

d / 3 + 65 = d / 2

d / 2 - d / 3 = 65

3 · d - d = 390

2 · d = 390

d = 195

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Answer:

Step-by-step explanation:

Given equation for sum of the first n terms

Using the equation solve the following

The first term \(t_1\), is same as the sum of the first 1 term, so n = 1

Sum of the first 2 terms, when n = 2

Common difference is the difference between two consequitive terms.

First, find the second term:

Now find the difference between the first two terms:

We need to find such n that \(S_n\) = - 30

So the answer is 6

Simplifying in steps as below

Answer:

C. x = 18

Step-by-step explanation:

3x = 54

First, you try to get x by itself.

To do that, you divide both sides by 3

It looks like this:

3x/3 = 54/3

And it ends up being:

x = 18

Answer:

x + 8 =21; x = 21 -8; x= 13

3x = 54; x =54/3;x= 18

x/5 = 10;x= 10× 5;x= 50