what do both of these functions have in common? f(x)=3/2 (x-7) -2 g(x) = 1.5ln(x-2)+7
(x-7) should be absolute value of that.

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.

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:

[tex]11[/tex]

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

a is the base and b is the exponent.

Step-by-step explanation:

HOPE THIS HELPS.

Answer:

2 miles

Step-by-step explanation:

6X + 10 = 22

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

The function that is a  tangent to the graph of f is [tex]f(x) = (5/4)x^4+60[/tex]

The definite integral can be interpreted as the resulting area of a region. In addition, it is a value in its result, that is, it does not depend on the variable x, which can be exchanged for any other variable without changing the value of the integral.

Knowing that :

therefore, f'(x)|x=a = -40, so only look for a we have:

[tex]5a^3 = -40\\a^3 = -8\\a = -2[/tex]

if, x = -2, then y = 80 (since, 40x + y = 0), therefore, f(x) passes through (-2,80), so in the equation:

[tex]f'(x) = 5x^3\\f(x) = (5/4)x^4 + c\\80 = (5/4)(-2)^4 + c\\c = 60[/tex]

Therefore,

[tex]f(x) = (5/4)x^4+60[/tex]

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Answer:

480 Hectares potatoes, 340 Hectares corn

Step-by-step explanation:

Let x be the land used to plant potatoes in hectares.

Let y be the land used to plant corn in hectares.

Given the information from the question, we know that:

x + y = 820 - Equation 1

and

x - y = 140 - Equation 2

as you can see here we have 2 equations, means we can solve them simulteanously to solve for both. We will use elimination method.

We will use Equation 1 - Equation 2.

x-x+y-(-y)=820-140

2y = 680

y = 680 ÷ 2 = 340 hectares

We substiture y into equation 1 to find x

x + 340 = 820

x = 820 - 340

= 480 hectares

Therefore, 480 hectares of potatoes and 340 hectares of corn were planted.

Answer:

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 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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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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Answer:

t = 4.0

Step-by-step explanation:

1.) P(t) = 1578

2.) Divide both sides by 1400

3.) Take the natural log of both sides (to remove the "e")

4.) Divide both sides by 0.03

5.) Properly round to the 1st decimal place

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:

Answer: [tex]f(x) > 0[/tex]

Step-by-step explanation:

The range of all exponential functions without a vertical shift is the set of positive real numbers.

It takes 1.7 x 10 ^4 for light from the sun to reach the comet.

The number is written in the form  [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]

Scientific notations have some of the profits as:

Better readability due to compact representation

Its value in terms of the power of 10 is known, which helps in the easy comparison of quantities differing by a large value.

A comet is about  [tex]5.1 \times 10 ^9[/tex] km from the sun.

Light travels at about [tex]3.0 \times 10 ^5[/tex] km per second.

[tex]\dfrac{5.1 \times 10 ^9}{3.0 \times 10 ^5}[/tex]

= [tex]1.7 \times 10 ^4[/tex]

Hence, It takes 1.7 x 10 ^4 for light from the sun to reach the comet.

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The graph of the exponential function in discuss whose base is; e would have a y-intercept t at point (0, 1), with a domain as the set of all real numbers and its range as the set of all positive numbers.

It follows from the task content that the function in discuss can be written as;

y = e^x.

Consequently, the y-intercept of the graph which corresponds to x= 0 is; (0, 1).

The domain and range of the graph as with other exponential functions are therefore given as the set of all real numbers and all real positive numbers respectively.

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The first three terms of the sequence are 10, 20, and 30.

The function given is 10n. In this case, the terms will be:

First term = 10n = 10 × 1 = 10

Second term = 10 × 2 = 40

Third term = 10 × 3 = 30

In this case, the first three terms of the sequence are 10, 20, and 30.

It an arithmetic sequence as there is a common difference of 10.

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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]

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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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:

the x value is 13 and the y value is 10. x=13 and y=10

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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According to the empirical rule, the percent of the data points that are above 76 is; 2.28%

We are given;

Mean; μ = 88

Standard deviation; σ = 6

Sample mean; x' = 76

Formula for z-score is;

z = (x' -  μ)/σ

z = (76 - 88)/6

z = -2

Now, from the empirical rule of normal distribution graph attached, we see that at z = -2, the percentage is 95.44%. However, we want to find the percentage that lie above 27. Thus, this is (100% - 95.44%)/2 = 2.28%

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Answer: 4

Step-by-step explanation:

[tex]f(4)=\frac{1}{4} \cdot 2^{4}=\frac{1}{4} \cdot 16=4[/tex]

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: 8 pieces

Step-by-step explanation:

- if there are 24 pieces of sushi in 6 packages then 24/6 = 4 so there’s 4 pieces of sushi in each package

- since there’s 4 pieces of sushi in each pack just do 4 x 2 = 8

- so there’s 8 pieces of sushi in 2 packages

hope this helps :)

Answer:

see image

Step-by-step explanation:

I did two different problems depending on whether the 4 beside the log is a base or not.

If the log IS the base, I got x = 1 as you did. But if the 4 is not the base then there is no base written and that means the base is 10.

For log problems that have log on one side of the equation only, then a good strategy is to change the equation from logarithmic form to exponential form. See image for work. Hope this helps.