Which of the following is equal to g(x)?

A. 2ˣ + 3
B. 2ˣ + 3
C. 3 • 2ˣ
D. 1/3 • 2ˣ
​

So the minimal transportation cost is $8,700, and it can be achieved by renting 6 buses and 27 vans.

Let's start by defining our variables. Let b be the number of buses and v be the number of vans to be rented. We want to minimize the transportation costs, so our objective function is:

C = 1400b + 100v

We also have two constraints:

The total number of students that can be transported cannot be less than 720:

72b + 9v ≥ 720

The total number of chaperones cannot be more than 45:

3b + v ≤ 45

Now we can solve for b and v. Let's solve the second constraint for v:

v ≤ 45 - 3b

Substituting this inequality into the first constraint, we get:

72b + 9(45 - 3b) ≥ 720

Simplifying and solving for b, we get:

b ≥ 6

So we know that we need to rent at least 6 buses. Since we cannot rent a fraction of a bus or van, b must be an integer. Let's try b = 6 and see if it satisfies the second constraint:

3(6) + v ≤ 45

v ≤ 27

Since v must also be an integer, the largest integer that satisfies this inequality is v = 27. Now we can calculate the total cost:

C = 1400(6) + 100(27) = 8700

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Answer: 45+16.5=61.5

Step-by-step explanation:

if there is 2 friends going with him it would be  45+16.5=61.5

so that is how much he spends in there is more friends ill give you the other answer if there is more friends

Answer:

Z=44° X=114° Y=66°

Step-by-step explanation:

Angles in a triangle add up to 180

31°+35°+x°=180°

66°+x°=180°

x°=180°-66°

x°=114°

Angles on a line add up to 180°

x°+y°= 180°

where x°=114°

114°+y° =180°

y°=180°-114°

y°=66°

Angles in a triangle add up to 180

z°+y°+70°=180°

where y=66°

z°+66°+70°=180°

z°+136°=180°

z°=180°-136°

z°=44°

To turn a decimal into a fraction, follow these steps:

1: Identify the place value of the decimal. For example, 0.25 has two decimal places.

2: Write the decimal as a fraction with the decimal part as the numerator and a denominator based on the place value. For example, 0.25 can be written as 25/100.

3: Simplify the fraction if possible. In this case, both the numerator and denominator can be divided by 25 to simplify the fraction to 1/4.

To turn a fraction into a decimal, follow these steps:

1: Divide the numerator of the fraction by the denominator. For example, for the fraction 3/4, divide 3 by 4.

2: The resulting decimal can be rounded to the desired number of decimal places or expressed as a decimal fraction. For instance, 3 divided by 4 equals 0.75.

3: If you want to express the fraction as a decimal fraction, simply write the decimal as a fraction, with the decimal places as the numerator and a power of 10 as the denominator. For example, 0.75 can be written as 75/100, which simplifies to 3/4.

Remember, when converting between decimals and fractions, it's essential to simplify the fraction and round the decimal if necessary.

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(a) The probability that Smith wins 8 dollars before losing all his money using the timid strategy is approximately 0.214.

In the timid strategy, Smith bets 1 dollar each time. The probability of winning a bet is 0.4, and the probability of losing is 0.6. We can calculate the probability that Smith wins 8 dollars before losing all his money using a binomial distribution. The formula for the probability is P(X = k) =\(\binom{n}{k} \cdot p^k \cdot q^{n-k}\), where n is the number of trials, k is the number of successes, p is the probability of success, and q is the probability of failure. In this case, n = 8, k = 8, p = 0.4, and q = 0.6. By substituting these values into the formula, we can calculate the probability to be approximately 0.214.

(b) The probability that Smith wins 8 dollars before losing all his money using the bold strategy is approximately 0.649.

In the bold strategy, Smith bets as much as possible but not more than necessary to reach 8 dollars. This means he bets 1 dollar until he has 7 dollars, and then he bets the remaining amount to reach 8 dollars. We can calculate the probability using the same binomial distribution formula, but with different values for n and k. In this case, n = 7, k = 7, p = 0.4, and q = 0.6. By substituting these values into the formula, we can calculate the probability.

P(X = 7) =\(\binom{7}{7} \cdot 0.4^7 \cdot 0.6^{7-7} \approx 0.014\) ≈ 0.014

P(X = 8) =\(\binom{8}{8} \cdot 0.4^8 \cdot 0.6^{8-8} \approx 0.635\) ≈ 0.635

Total probability = P(X = 7) + P(X = 8) ≈ 0.649

(c) The bold strategy gives Smith a better chance of getting out of jail.

The bold strategy gives Smith a better chance of getting out of jail because the probability of winning 8 dollars before losing all his money is higher compared to the timid strategy. The bold strategy takes advantage of maximizing the bets when Smith has a higher fortune, increasing the likelihood of reaching the target amount of 8 dollars.

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Answer:

3017.54

Step-by-step explanation:

3.14 x radius(squared)

31 squared =961

3.14 x 961=

Answer:

Step-by-step explanation:

Answer:

whichever one looks like a U opening upward. the bottom of the U should be at the point (0,0) where the x and y axis meet

Answer:

yes it is a function         A

Step-by-step explanation:

Answer:

the company should survey every 5th client that makes an appointment.

the company should have a computer randomly generate a list of 200 clients to survey.

Answer:

1) B/ 0.4n = 12; n = 30

2) B/ 125 – x = 58

3) B/ $1.75

Step-by-step explanation:

1) 0.4n = 12

n = 12 ÷ 0.4

n = 30

2) 125 – x = 58

– x = 58 – 125

– x = – 67 ( – & – will get cancelled)

x = 67

a) 125 + x = 58

x = 58 – 125

x = – 67 (pages won't be in negative)

c) 125 ÷ 58 = x

2.15 = x (wrong)

d) 58 – x = 125

– x = 125 – 58

– x = 67

x = 67 ÷ –1

x = – 67 ( pages won't be in negative)

3) 12x = 21

x = 21 ÷ 12

x = 1.75

The present value of $12,500 to be received 10 years from today at a discount rate of 8% compounded annually and rounded to the nearest $10 is $5,790. Hence, option D is correct.

Present value (PV) is the value of an expected cash flow to be received in the future at a specific interest rate. The following are some of the procedures for determining the present value of an investment:
- determine the expected future cash flows from the investment
- select the interest rate to use to convert the future cash flows to present value
- calculate the present value of the cash flows.

In order to calculate the present value of $12,500 to be received in 10 years from today, we need to use the formula: PV= FV / (1+r)^n where FV is the future value, r is the annual interest rate, and n is the number of years in the future.

Now, let us plug in the values to calculate the present value of $12,500.

PV= 12,500 / (1+0.08)^10
PV= 12,500 / 2.158925
PV= $5,790 (rounded to the nearest $10)

Hence, option D is correct.

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Probability that the mother in this sample had a premature baby given that the mother admitted to smoking is 50 percent.

Likelihood is the part of science concerning mathematical depictions of how likely an occasion is to happen, or how likely it is that a suggestion is valid. The likelihood of an occasion is a number somewhere in the range of 0 and 1, where, generally talking, 0 demonstrates difficulty of the occasion and 1 shows conviction.

P (A) is the probability of an event “A”

n (A) is the number of favorable outcomes

n (S) is the total number of events in the sample space

The higher the likelihood of an occasion, the more probable it is that the occasion will happen. A straightforward model is the throwing of a fair coin. Since the coin is fair, the two results are both similarly likely; the likelihood of "heads" approaches the likelihood of "tails"; and since no different results are conceivable, the likelihood of by the same token "heads" or "tails" is 1/2.

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Characteristics: special quality or trait that distinguish a person, thing, or group from others.

Step-by-step explanation:

since the two angles from a straight line, they make a linear pair and linear pairs are supplementery. by the angle addition postulate, you can determine that the two angles sum to 180. substituting the one angle mearsure that you are guven and using a bit of simple arithmetic and the subtraction property of equality, you can determine that the other angle,angle YXZ, is 45 degrees. I hope this is helpful

The value of T₂(x) at x = 0.5 for y= e is 1 + x^2/2. The error is le-T₂(x) at x = 1.2 is 0.032 ~ 0.03.

Given:T₂(x) = |ez

The value of y is e.To find:T₂(x) at x = 0.5 for y= e and use a calculator to compute the error le-T₂(x) at x = 1.2.Formula used:

For the given function f(x), the second-degree Taylor polynomial centered at x = a is given by T2(x) = f(a) + f'(a)(x - a) + f''(a)/2!(x - a)2

The second-degree Taylor polynomial for f(x) is given by T2(x) = f(a) + f'(a)(x - a) + f''(a)/2!(x - a)2

Explanation:The second-degree Taylor polynomial for f(x) is given by T2(x) = f(a) + f'(a)(x - a) + f''(a)/2!(x - a)2

First, we will compute T₂(x) at x = 0.5 for y = e.Using the formula T2(x) = f(a) + f'(a)(x - a) + f''(a)/2!(x - a)2

We know that y = e and f(x) = |ezf'(x) = ze^zf''(x) = (z^2 + z)e^z

The value of f(a) = f(0) = |e^0 = 1f'(a) = f'(0) = z|z=0 = 0f''(a) = f''(0) = 1|z=0 + 0 = 1T2(x) = f(a) + f'(a)(x - a) + f''(a)/2!(x - a)2T2(x) = 1 + 0(x - 0) + 1/2!(x - 0)2T2(x) = 1 + x^2/2

Now, we will compute the error, le-T₂(x) at x = 1.2

Using the formula le-T₂(x) = |(e^z)/3!(x - 0.5)^3|z=1.2 = 0.032 ~ 0.03

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Answer:

x=10 and y=4

Im not sure if this is correct but I looked it up and it said it was right

Answer:

(if you're looking for intercepts then: x = 10, y = -4)

Step-by-step explanation:

\(\sf{2x - 5y = 20\)

\(\sf{Finding~x:\)

\(2x - 5y = 20\)

     \(+ 5y = + 5y\)

↪ 2x = 5y + 20

\(\frac{2x}{2} = \frac{5y}{2} + \frac{20}{2}\)

\(\sf{Finding~y:}\)

\(2x - 5y = 20\)

\(-2x~ = ~~~~-2x\)

↪ -5y = -2x + 20

\(\frac{-5y}{-5} = \frac{-2x}{-5} + \frac{20}{-5}\)

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

Hope this helps!

Answer:

C

Step-by-step explanation:

It is C because it has a proportional value through the diameter of the graph. With that you will also be able to figure this out by seeing that the light in between the graph is even. The numbers that the graph a line with are similar to the answer C.

Answer:

cost of Croissant =$ 1.5142

cost of Coffee=$0.7571

cost of fruit bowl = $3.229

Step-by-step explanation:

Step 1

A croissant, a cup of coffee, and a fruit bowl cost $5.50 also  a croissant costs twice as much as a cup of coffee

so let cost of a cup of coffee=C

cost of croissant=2C

cost of fruit bowl = F

Such that  

C+2C+F= 5.50

3C+F=5.50.......equation 1

Also, effective next week, the price of a croissant will go up 25% and the

price of coffee will go up 20%  Giving us that

new cost of croissant=(2C)(1+25/100)=2.5C

new price of coffee=(C)(1+20/100)=1.20C

new price of fruit bowl still remains unchanged =F

such that

2.5C +1.20C + F=6.03

3.7C+F=6.03----- equaton 2

Step 2

3C+F=5.50.......equation 1  

3.7C+F=6.03----- equaton 2

By elimination method, we subtract eqn 1 from eqn 2

3.7C - 3C + F -F=6.03-5.5

0.7 C=0.53

C= 0.53/0.7

C=0.7571

2C= 1.5142

3C+F=5.50

3 X 0.7571 + F= 5.50

2.27 + F= 5.50

F= 5.50-2.271= 3.229

cost of Croissant =$ 1.5142

cost of Coffee=$0.7571

cost of fruit bowl = $3.229

A. Translation

This type of translation is defined as moving the object in space by keeping its size, shape or orientation constant. In a translation, each point of the shape must be moved in the same direction and for the same distance. When you are doing a translation, the primary object is called the pre-image, and the object after the translation is called the image.

B. Rotation

This type of transformation has an object about a fixed point without changing its size or shape.

C. Reflection

A reflection is a transformation that reflects each point in the preimage across a line of reflection. It is a rigid motion so it preserves length and angle measure

A perpendicular bisector is a line (ray, segment) which cuts a line segment into two equal parts at90° angle

D. A transformation is a change in the position or size of an object Movements that do not change the size or shape of the object moved are called “rigid transformations” There are three types of rigid transformations: Translations, Reflections, and Rotations. These are more commonly referred to as Slides, Flips, and Turns.

Answer:

On the graph h, k, and a are not labeled so do not find a way to find them

Step-by-step explanation:

give me brainliest

Answer:

15

Step-by-step explanation:

First we will find the square root of 240

2 240

2 120

2 60

2 30

3 15

5 5

1

2×2×2×2×3×5

We will need 15 to make it a perfect square.

Smallest number by which 240 must be multiplied so that the product is a perfect square is equals to 15.

" Perfect square of a number is defined as the number gets multiplied to itself."

According to the question,

Given number = 240

'x' represents the smallest number to make the product a perfect square

240 = 24 × 10

       = 16 × 15

16 is a perfect square of 4.

To make 15 as  perfect square multiply it by 15

Therefore ,

x= 15

Hence, 15 is the smallest number by which 240 must be multiplied so that the product is a perfect square.

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Answer:

$35.20

Step-by-step explanation:

S.I. = (P×R×T)/100

=(160×5.5×4) /100

= (640×55) / 100×10

= (64×55) / 100

= 3520 / 100

= $ 35.20

brainliest plz

Answer:

1.522 ft tall

Step-by-step explanation:

divide 13.8 by 6ft and you would get 2.3

the height of the object multiplied by 2.3 would get you the shadow so, to get the original height from the shadow, just divide by 2.3.

Answer:

15in2

Step-by-step explanation:

The formula for the area of a triangle is base times height divided by two.

Answer:

1.50x + 2.70y - 84 = 79.80

Explanation: I REALLY don't know if this is right, but I hope I helped you out at least a little bit.

Answer:

x + y = 42

1.50x + 2.50y = $79.80

x = 28 hot dogs

y = 14 hamburgers

Step-by-step explanation:

x = hot dogs

y = hamburgers

Equation:

x + y = 42

1.50x + 2.50y = $79.80

I used Substitution

x = 42 - y

1.50(42 - y) + 2.50y = 79.80

63 - 1.50y + 2.70y = 79.80

63 + 1.2y = 79.80

Substract 63 from both sides

1.2y = 16.8

Divide 1.2 on both sides

y = 14

x + y = 42

x + 14 = 42

x = 28

y = 14

Don't know how to explain that well, I hope this helps.

Answer:

all not negative

Step-by-step explanation:

every one not negative is a ratio

it's b it's b it's b

Step-by-step explanation:

I know I know

Step-by-step explanation:

as a big spoiler : pi is an universal constant. it is the same for every circle, every round object, for circumference, areas, surfaces and volumes.

the formula for a circle circumference :

2×pi×r

the radius is half of the diameter, or the diameter is twice the radius.

so, we have for circle A

pi×9 = 28.26

pi = 28.26/9 = 3.14

and for circle B

pi×5 = 15.7

pi = 15.7/5 = 3.14

the formula for the circle area is

pi×r²

so, for circle A

pi×(9/2)² = 63.585

pi×81/4 = 63.585

pi×81 = 254.34

pi = 254.34/81 = 3.14

for circle B we get

pi×(5/2)² = 19.625

pi×25/4 = 19.625

pi×25 = 78.5

pi = 78.5/25 = 3.14

as mentioned, pi is always the same. it is a natural, universal constant.