Renting a car costs $40 per day or $750 per month. renting daily is cheaper for a few days, but after how many days is it cheaper to rent on a monthly basis?

The sentence that best supports the reason for youth recreational sports is (3) The US Department of Agriculture recommends that young people ages 6–17 should engage in 60 minutes of physical activity each day.

Recreational sports are competitive physical games played for fun and physical exercise with friends or as part of extra-curricular activities.

They do not involve professional sports persons.

Read this source of information. (1) American youth have school commitments and extracurricular activities. (2) Many also enjoy leisure activities, such as reading and playing video games. (3) The US Department of Agriculture recommends that young people ages 6–17 should engage in 60 minutes of physical activity each day. (4) The specific amount of activity needed for a healthy lifestyle depends on daily caloric intake.

Thus, the sentence that best supports the reason for youth recreational sports is Sentence 3.

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Answer:

ez 3

Step-by-step explanation:

Using the t-distribution, the 98% confidence interval for the mean of the population is (99.21, 110.79).

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

Researching the problem on the internet, the data-set is given as follows:

104, 102, 103, 105, 125, 106, 107, 110, 110, 95, 108, 86, 112, 101, 101.

The parameters are given as follows:

[tex]\overline{x} = 105, s = 8.54, n = 15[/tex].

The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 15- 1 = 14 df, is t = 2.6245.

Hence the bounds of the interval are:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 105 - 2.6245\frac{8.54}{\sqrt{15}} = 99.21[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 105 + 2.6245\frac{8.54}{\sqrt{15}} = 110.79[/tex]

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1. The computation of the net present value of each project is as follows:

                                     Project A           Project B

NPV                               $36,523            $9,000

2. Based on the net present value approach, Project A should be adopted, instead of Project B.

The net present value is the difference between the costs and the annual cash inflows discounted to their present values.

                                      Project A           Project B

Initial costs                     $103,000          $41,000

Annual cash inflows         $34,441          $12,522

Project live                       5 years            5 years

Rate of return                    8%                    8%

Annuity factor                   3.993             3.993

PV of cash inflows       $139,523          $50,000

NPV                               $36,523            $9,000

1. Compute the net present value of each project.

2. Which project should be adopted based on the net present value approach?

Thus, based on the net present value approach, Project A should be adopted.

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Answer:

Step-by-step explanation:

The formula for finding the perimeter is 2w+2L (2*width + 2*length)

So, since we know the width is "w" and the length is "3w-2", we can just substitute those into the equation.

2(w)+2(3w-2)

From there, if needed, you can simplify to:

2w + 6w-4

Add like terms:

8w - 4

Hope that helps.

Step-by-step explanation:

part A:

[tex]Area_{_{surface}}=3.14*(3*5+3^2);[/tex]

part B:

[tex]Area_{_{surface}}=3.14*(15+9)=3.14*24=75.36[units^2].[/tex]

Step-by-step explanation:

1-)2+2=4

2-)5+6÷6=6

3-)4(1+5)=24

4-)6-3+6=9

Answer:

The x intercept is 3

(3,0)

Step-by-step explanation:

3x+y -9 =0

To find the x intercept, set y=9 and solve for x.

3x+0-9=0

3x -9=0

Add 9 to each side

3x-9+9=9

3x =9

Divide by 3

3x/3 = 9/3

x =3

The x intercept is 3

(3,0)

The graph of f(x) + 1 is the graph in the option C.

For a given function f(x), a vertical translation is written as:

g(x) = f(x) + N

Here we have g(x) = f(x) + 1, so we have a translation of 1 unit upwards, the graph of f(x) + 1 is the graph of f(x) but translated one unit upwards.

From that, we conclude that the correct option is C.

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Answer:

2 miles

Step-by-step explanation:

6X + 10 = 22

X = (22-10)/6 = 12/6 = 2 miles

The value of the expression as described in the task content is; 11.

The expression as described in the task content is; 3(4 - N) +8.

However, the value of N in this scenario is; 3.

Therefore, the value of.the expression is;

3(4 - 3) +8

= 3(1) + 8

= 3+8

= 11.

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By "number of Power set of A" I wonder if you mean the cardinality of the power set.

For any finite set with [tex]n[/tex] elements, its power set contains [tex]2^n[/tex] elements.

Here [tex]|A| = 5[/tex], so the power set will contain [tex]|\mathcal P(A)| = 2^5 = \boxed{32}[/tex] elements.

Recall that the power set is the set of all subsets of a given set

• subsets of [tex]A[/tex] of size 0 (1):

[tex]\emptyset[/tex]

• subsets of size 1 (5):

[tex]\{a\}\\ \{b\}\\ \{\{a\}\}\\ \{3\}\\ \{\{3\}\}[/tex]

• subsets of size 2 (10):

[tex]\{a,b\}\\ \{a,\{a\}\}\\ \{a, 3\}\\ \{a, \{3\}\}\\ \{b,\{a\}\}\\ \{b,3\}\\ \{b,\{3\}\}\\ \{\{a\},3\}\\ \{\{a\}, \{3\}\}\\ \{3,\{3\}\}[/tex]

• subsets of size 3 (10):

[tex]\{a,b,\{a\}\}\\ \{a,b,3\}\\ \{a,b,\{3\}\}\\ \{a,\{a\},3\}\\ \{a,\{a\},\{3\}\} \\ \{a,3,\{3\}\}\\ \{b,\{a\},3\}\\ \{b,\{a\},\{3\}\}\\ \{\{a\},3,\{3\}\}[/tex]

• subsets of size 4 (5):

[tex]\{a,b,\{a\},3\}\\ \{a,b\{a\},\{3\}\}\\ \{a,b,3,\{3\}\}\\ \{a,\{a\},3,\{3\}\}\\ \{b,\{a\},3,\{3\}\}[/tex]

• subsets of size 5 (1):

[tex]\{a,b,\{a\},3,\{3\}\}[/tex]

Using the normal distribution, it is found that there is a 0.4038 = 40.38% probability that the person has an IQ score between 92 and 108.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 100, \sigma = 15[/tex].

The probability that the person has an IQ score between 92 and 108 is the p-value of Z when X = 108 subtracted by the p-value of Z when X = 92, hence:

X = 108:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{108 - 100}{15}[/tex]

Z = 0.53

Z = 0.53 has a p-value of 0.7019.

X = 92:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{92 - 100}{15}[/tex]

Z = -0.53

Z = -0.53 has a p-value of 0.2981.

0.7019 - 0.2981 = 0.4038.

0.4038 = 40.38% probability that the person has an IQ score between 92 and 108.

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[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

Select the equation that passes through (-2,1) and has slope 3

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

Formula used, here [tex]\bf{y-y1=m(x-x1)}[/tex]

[tex]\bf{y-1=3(x-(-2)}[/tex] | put in the values, then, simplify

[tex]\bf{y-1=3(x+2)}[/tex]

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

            [tex]\bf{=y-1=3(x+2)}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic \not1\theta l}}[/tex]

∞

There are 2 trucks are between Joe's hardware truck in a super supplier's truck.

The reasoning is the capacity to make logical judgments based on newly available or previously known information.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

The blue truck from the old time is part to the right truck from hit road the green truck from super suppliers is part to the right of all time.

According to the information provided, there are only two trucks between the Super Suppliers truck and the Joe's Hardware truck.

Joe's Hardware is essentially on the left and Super Suppliers is on the right, with 2 trucks in between.

Thus, there are 2 trucks are between Joe's hardware truck in a super supplier's truck.

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Answer:

[tex]11[/tex]

[tex]a {}^{b} [/tex]

a is the base and b is the exponent.

Step-by-step explanation:

HOPE THIS HELPS.

Answer:

152 miles

Step-by-step explanation:

380/5 = 76

76*2 = 152

as they will have traveled 2/5, you would need to divide your miles by 5 then multiply by 2!

The distance from Platform B to Platform C is 26.926 units

The given parameters are;

The zip-line course distance from platform A to platform F is given;

On the given graph of the path of travel we have;

Coordinates of the point B = (-25, -20) and the coordinates of the point C = (-15, 5).

The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given by the formula

[tex]l=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Therefore, the distance between B and C is found by substituting (-25, -20) = (x₁, y₁) and (-15, 5) = (x₂, y₂)

Which gives

[tex]l=\sqrt{(5-(-20))^2}+((-15)-(-25))^2\\l=26.926 units[/tex]

The distance from points B to C = 26.926 units. The distance from Platform B to Platform C is 26.926 units.

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The function with the same end behavior of f(x) is the last option:

[tex]g(x) = (-\frac{1}{3} )*x[/tex]

By looking at the graph, we can see that the end behavior of f(x) is:

as x → ∞; f(x) → -∞

as x → -∞; f(x) → ∞

Then we just want a function that depends linearly with x and that has a negative coefficient.

The correct option is the last one:

[tex]g(x) = (-\frac{1}{3} )*x[/tex]

Where clearly, when x tends to infinity the function tends to negative infinity, and when x tends to negative infinity, the function tends to infinity.

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Hence, the required inequality is x+y≤4, 7x+4y≤1150

inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Let x be the number of adults and y be the number of campers.

There are rooms for 450 people, so

x+y≤450.

Each adult costs $7, then x adults cost $7x.

Each camper costs $4, then y campers cost $4y.

There is a maximum budget of $1,150, so

7x+4y≤1,150

Hence, you get the system of two inequalities:

         x+y≤4

         7x+4y≤1150

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Answer:

x + y [tex]\leq[/tex] 450

7x + 4y [tex]\leq[/tex] 1,150

Step-by-step explanation:

X and Y is the amount of people it can fit.

7 and 4 is the amount of money for each person.

7x is the amount per adult, 4y is the amount per camper.

Hope this helps.

Answer: 48

Explanation: 16 x 3 = 48,  12 x 4 = 48

Answer:

  0.5

Step-by-step explanation:

The sides opposite and adjacent to the given angle are shown in this right triangle. The relation between them is given by the tangent trig function:

  Tan = Opposite/Adjacent

  tan(63°) = 1/x

We can multiply this equation by x/tan(63°) to find the value of x:

  x = 1/tan(63°) ≈ 1/1.96261 ≈ 0.509525

The length x is about 0.5 units.

Answer: B

Step-by-step explanation:

The factors of 1 are [tex]\pm 1[/tex]

The factors of 20 are [tex]\pm \{1, 2, 4, 5, 10, 20\}[/tex].

By the rational root theorem, we see that the answer is B.

The number of compounding period is 52.

The interest rate is 0.11%.

The compounding period is the number of times the investment would earn a compound interest in a year. Because interest is compounded weekly, the compounding period would be equivalent to the number of weeks in a year. This is 52.

Interest rate = yearly interest / compounding period

5.5 / 52 = 0.11%

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Answer:

a. y = 85x + 50

Step-by-step explanation:

a. y = 85x + 50

Using the Empirical Rule, it is found that 95% of the candies have weights between 0.7 and 0.98 gram.

It states that, for a normally distributed random variable:

Researching this problem on the internet, we have that:

Then 95% of the candies have weights between 0.7 and 0.98 gram, as:

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The rate of 9 kilometers per hour in kilometers per minute is 0.15 km/min. The cyclist would travel 2.25 km in 15 minutes.

An equation is an expression that shows the relationship between two or more numbers and variables.

60 km/h = 1 km/min

Hence:

9 km/h = 9 km/h * (1 km/min) / ( 60 km/h) = 0.15 km/min

In 15 minutes, distance = 0.15 km/min * 15 min = 2.25 km

The rate of 9 kilometers per hour in kilometers per minute is 0.15 km/min. The cyclist would travel 2.25 km in 15 minutes.

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Answer:

no

Step-by-step explanation:

there are somethings you need to know. The given height is the combined height of the cylinder and hemisphere. but we need to use the height of cylinder in the formula so we subtract the original height by radius.

Next thing is that the formula 2πrh is for C.S.A of the cylinder but we need the base area as well for surface area of this combined solid. So we add base area (i.e πr²) to 2πrh.

The expression that is equivalent to √1,120y is: 4√70y.

Expressions are said to be equivalent when the value of one is the same as the value of the other when evaluated or simplified.

Given the expression, √1,120y, we can simplify as shown below:

√(16 × 70 × y)

= 4√70y

Thus,  4√70y is equivalent to √1,120y .

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The missing step in making the equation in vertex form is option D which is

[tex]5(x^{2} +[/tex]6x____)+15.

Given Equation [tex]5x^{2} +30x+15=0[/tex]

Parabola in vertex form. Equation is a relationship between two or more variables which is expressed in equal to form. It is solved to find the variables.

To express the equation of a parabola in vertex form we must complete squares. The equation is given as

[tex]5x^{2} +30x+15=0[/tex]

The first step is to factor 5 and leave space to complete the third term in the parenthesis, along with a space outside it to compensate. This should look like

([tex]5(x^{2} +6x............)+15..........=0[/tex]

Those spaces need to be filled out like shown in the step 2. Thus the correct step is D.

Hence the correct step in vertex form is D which is

[tex]5(x^{2} +6x[/tex]___-)+15____=0.

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