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A function assigns values. The inequality one-half x minus 10 greater-than-or-equal-to 0 should be satisfied.

A function assigns the value of each element of one set to the other specific element of another set.

The domain of a function is a set of values for which the equation is satisfied. Since the function has under root values, the value which is under the root should be non-negative so that it does not give a complex number,  therefore,

The inequality [tex]\sqrt{\dfrac12x^2-10}\geq 0[/tex]satisfied to find the domain of the function f(x).

Also, we can write that 0.5x²-10≥0 for the value to be positive.

Hence, the inequality one-half x minus 10 greater-than-or-equal-to 0 should be satisfied.

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Answer:

112

Step-by-step explanation:

1:8

14:x

8x14=112

X=112

Answer:

112 m

Step-by-step explanation:

1 cm : 8 m

14 cm : ?

= 14 x 8

= 112 m

The monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months is $93.32.

loan amount P = $3000

Rate of interest = 7.5% per annum

So, monthly rate of interest r= 7.5/12 %

Tenure n = 36 months

The formula to calculate monthly payments is given

[tex]EMI=\frac{Pr}{1-(r+1)^{-n} }[/tex]...........(1)

Where P =loan amount

r = monthly rate of interest

n=tenure

So by substituting the given values in (1) the monthly payment = $93.32

Hence, the monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months is $93.32.

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An equation is formed of two equal expressions. The solution of the equation is 4.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution of the equation can be written as,

[tex]\dfrac{5}{3b^3-2b^2-5} = \dfrac{2}{b^3-2}\\\\5(b^3-2) = 2(3b^3-2b^2-5)\\\\5b^3-10=6b^3-4b^2-10\\\\5b^3-10-6b^3+4b^2+10=0\\\\-b^3+4b^2=0\\\\b^2(-b+4)=0\\\\-b+4=0\\\\-b=-4\\\\b=4[/tex]

Thus, the solution of the equation is 4.

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Answer:

c

Step-by-step explanation:

Answer:

D.  310.86 L

Step-by-step explanation:

[tex]\textsf{Volume of a cylinder}=\pi r^2h[/tex]

where:

Given:

[tex]\implies \sf \textsf{Volume of the tank}=(3.14)(0.3)^2(1.1)=0.31086\:m^3[/tex]

[tex]\sf 1\:liter = 1000\:cm^3[/tex]

To convert cubic cm to cubic meters, divide by 1,000,000:

[tex]\implies \sf 1\:liter =\dfrac{1000}{1,000,000} = 0.001\:m^3[/tex]

[tex]\implies \sf \textsf{Volume of the tank}=\dfrac{0.31086}{0.001}=310.86\:L[/tex]

Answer:

Pool 1:  2(3)*3*3= 54 ft^3

pool 2: 2(4)*4*4= 128 ft^3

Pool 3: 2(5)*5*5= 250 ft^3

pool 4:  2(6)*6*6= 432 ft^3

Step-by-step explanation:

length can be modeled by twice the width or twice the depth which means that deapth=width,

both the width and the depth are equal, hence

L= 2x

W=X

x=3,4,5,6 (which are values for depth as well as width)

susbtitute values:

Pool 1:  2(3)*3*3= 54 ft^3

pool 2: 2(4)*4*4= 128 ft^3

Pool 3: 2(5)*5*5= 250 ft^3

pool 4:  2(6)*6*6= 432 ft^3

Answer:

Find by using 1st derivative test (tests slope) or 2nd derivative test (test concavity). Maximum is 18.75.

Step-by-step explanation:

The maximum of the equation is found when the slope is 0; therefore, take the derivative of the equation, find the critical point and find whether the function is increasing or decreasing around the critical point. To do this use test values within the interval of (-∞, 4.5) and (4.5, ∞). You then find that (-∞, 4.5) is increasing meaning there is a maximum. Plug in 4.5 into f(x) to find the y value.

Second method is using the 2nd derivative test. Find the second derivative and use the same method of testing intervals but instead plugging in test values to the 2nd derivative. You then find that f''(x) is < 0 meaning the function is concave down, thus having a maximum. Plug in 4.5 to find the y value.

Answer:

∠B

∠Y

Step-by-step explanation:

we know that

In the right triangle ABC

----> opposite side to angle B divided by the adjacent side to angle B

substitute the values

Remember that

If two triangles are similar, then the corresponding sides are proportional and the corresponding angles are congruent

so

∠A=∠W

∠B=∠Y

∠C=∠Z

Binomials are polynomials with two terms.The product of the binomial (4a-1) and (2b+3) is 8ab+12a-2b-3.

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The product of the binomial can be done as,

[tex](4a-1) \times (2b+3)\\\\= (4a \times 2b)+(4a \times 3)+(-1 \times 2b)+(-1\times 3) \\\\= 8ab+12a-2b-3[/tex]

Thus, the product of the binomial (4a-1) and (2b+3) is 8ab+12a-2b-3.

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Answer:

Answer is D

Step-by-step explanation:

Answer:

1.) men: 1800, women: 3000

2.)2275/65 = 35 mins

3.)P 2,175,000

4.) 5400 in 6 mins

5.) Probably 5?

6.) P 120 000

Step-by-step explanation:

Answer:

The numbers are 12 and 4

Step-by-step explanation:

12÷4=3

4÷4=1

12×4=48

Answer:

The length is 4.8 mm

Step-by-step explanation:

The area of a rectangle is calculated by multiplying the length times the width. So:

46.56 = l * w

46.56 = l * 9.7

To find the length, we must get "l" alone. To do this, we must divide both sides by 9.7.

46.56/9.7 = 4.8

4.8 = l

The length is 4.8

Answer:

Answer is G 1.5

Step-by-step explanation:

1. Distribute the 5 to x and 2 by multiplying. and the 7 to the 4 and -x by multiplying

2. carry over the 7x by adding it to 5x. to get x to one side.

3. subtract 10 from both side

4. Divide both side by 12

5. simplify and convert to decimal

Answer:i dont know sorry but i think its c

Step-by-step explanation:

Answer:

9)  A.  ∠1 and ∠3

10)  B.  Angle 2

11)  B.  110°

12)  B.  70°

Step-by-step explanation:

Vertical angles:  a pair of opposite angles formed by two lines intersecting.  Vertical angles are congruent.

The vertical angles in the given diagram are ∠1 and ∠3  AND  ∠2 and ∠4

These pairs of angles are equal, so: ∠1 =∠3  AND ∠2 =∠4

Therefore:

If ∠1 = 110°  then  ∠3 = 110°

If ∠2 = 70°  then  ∠4 = 70°

Answer:

1.36

Step-by-step explanation:

Answer:

1.7 hours

Step-by-step explanation:

IXL is pain.

Answer:

x = 23

Step-by-step explanation:

2x -3 + 47 = 90

2x = 46

x = 23

Answer:

f(n+1) = f(n)+5

Step-by-step explanation:

So lets say

f(1)=5

f(2)=10

1+1=2 so

f(2)=f(1+1)

therefor

f(n+1)=f(n)+5 since the difference of the functions is 5

the answer is A f(n+1)=f(n)+5

we know that

An arithmetic sequence is a sequence of numbers which increases or decreases by a constant amount each term

In this problem

the sequence of numbers increase by a constant amount equal to

5

each term

so

f(2)=f(1)+5

f(3)=f(2)+5

f(4)=f(3)+5

.

.

f(n+1) = f (n) + 5

therefore

the answer is the option

f(n + 1) = f(n) + 5

Answer:

A

Step-by-step explanation:

The situation that best represents the equation y = 25x is David earned y amount of money at a rate of $25 per x hours.

Rate of payment is the amount of money a worker receives after each hour, day or week.

David receives the amount of y as his payment every hour.

He is paid at the rate of $25 every X hours.

Therefore the amount he will receive which is represented as y would be $25 * X hours.

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Answer:

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Step-by-step explanation:

Answer: 7.2

Step-by-step explanation:

Answer:

Scale faction is 4

Step-by-step explanation:

You want to step this up as new/old this is because the shape is increasing in size. 18 times 4 is 72.

Answer:

c

Step-by-step explanation:

Answer:

2762 in²

Step-by-step explanation:

The total surface area of a figure is the sum of the areas of its faces.

Area of rectangle= length ×breadth

Assuming that this is a closed box, the total surface area is the total area of its 6 rectangular faces.

Two rectangles have dimensions of 7 in. ×19 in., another two rectangles have dimensions of 48 in. ×7 in., and the last two rectangles have dimensions of 48 in. ×19 in.

Surface area of the figure

= 2(7)(19) +2(48)(7) +2(48)(19)

= 266 +672 +1824

= 2762 in²

Answer:

$25 >= 14.99+2.75x

Step-by-step explanation:

Answer:

The factored form of the equation is f(x) = (x - 2)(x + 10), which makes the zeros of the function x = -10 and x = 2.

In order to factor a quadratic like this, you must find factors of the constant (in this case -20). The pairs of factors are listed below.

1 and -20

-1 and 20

2 and -10

-2 and 10

4 and -5

-4 and 5

Now we must pick out the pair that add to the coefficient of x.

1 and -20

-1 and 20

2 and -10

-2 and 10

4 and -5

-4 and 5

Once you've picked out those numbers, you can place each in a parenthesis with x.

f(x) = (x - 2)(x + 10)

Then to find the zeros to the equation, set each parenthesis equal to 0 and solve.

x - 2 = 0

x = 2

x + 10 = 0

x = -10

Step-by-step explanation:

hope this helps:)