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Answer:

the algebraic expression for the phrase 4 divided by the sum of 4 and a number is [tex]\mathbf{\frac{4}{4+x}}[/tex]

Step-by-step explanation:

Translate the following phrase into an algebraic expression.

We will use x to describe the unknown.

The phrase is:  4 divided by the sum of 4 and a number

The sum of 4 and a number can be written as: 4+x

4 divided by the sum of 4 and a number can be written into algebraic expression as: [tex]\frac{4}{4+x}[/tex]

So, the algebraic expression for the phrase 4 divided by the sum of 4 and a number is [tex]\mathbf{\frac{4}{4+x}}[/tex]

Answer:

$100 worse off

Step-by-step explanation:

Number of Breakdowns : 0, 1, 2, 3, 4

Prob.: 0.50, 0.25, 0.10, 0.10, 0.05

Cost of a breakdown = $2,000

cost of a preventive maintenance program is $2,000 per month

Expected probability of breakdown:

E(x) = Σ(X * p(x)) = (0*0.5) + (1*0.25) + (2*0.10) + (3*0.10) + (4*0.05) = 0.95

E(x) * cost of breakdown = (0.95 * 2000) = $1900

Hence, difference between breakdown and preventive maintenance

1900 - 2000 = - $100

$100 worse off

Answer:

Probably by mm or cm

Step-by-step explanation:

Step-by-step explanation:

f(x)=x^3+7

y=x^3+7

x=y^3+7

y^3=x-7

y=cube root (x-7)

f(x) inverse=cube root of x-7

The inverse function of the given function is [tex]y=\sqrt[3]{(x-7)}[/tex].

The given function is f(x)=x³+7.

Inverse function is represented by [tex]f^{-1[/tex] with regards to the original function [tex]f[/tex] and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.

Now, f(x)=x³+7 can be written as y=x³+7

⇒ x=y³+7

⇒ y³=x-7

⇒ [tex]y=\sqrt[3]{(x-7)}[/tex]

Therefore, the inverse function of the given function is [tex]y=\sqrt[3]{(x-7)}[/tex].

To learn more about the inverse function visit:

https://brainly.com/question/28595547.

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Answer:

[tex]since \: the \: sum \: of \: these \: angles \: is \: greater \: than \: 180° \\ they \: must \: be \: angles \: at\: a \: point \: in \: the \: circle \\ 110° + 99° + x = 360° \\ x = 360° - (110° + 99°) \\ x = 151°[/tex]

The answer is 12 when you add the base and height of the parallelogram and multiply by2

Answer:

12

Step-by-step explanation:

The expression that is equal to exponential function [tex][f(b)]^c[/tex] is [tex]a^{bc}[/tex]

The equation of the exponential function is given as:

[tex]f(x) = a^x[/tex]

Substitute b for x

[tex]f(b) = a^b[/tex]

Take the exponent of both sides to the power of c

[tex][f(b)]^c = (a^b)^c[/tex]

Apply the law of indices

[tex][f(b)]^c = a^{bc}[/tex]

Hence, the expression that is equal to exponential function [tex][f(b)]^c[/tex] is [tex]a^{bc}[/tex]

Read more about exponential functions at:

https://brainly.com/question/11464095

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Answer:

Option A, C, and E

Step-by-step explanation:

7 to the fourth power is the same as 7 times 7 times 7 times 7.

7^4 is the same thing as 7 to the fourth power, just rewritten.

I hope this helped, please give brainliest if this is correct! Thank you!

Answer:

The simplified version is 17y + 6.

Step-by-step explanation:

14y + 6 + 3y

17y + 6

Answer:

17y + 6

Step-by-step explanation:

commutative property

14y + 6 + 3y

14y + 3y + 6

combine like terms

14 + 3 = 17

17y + 6

Answer:Change values to whole numbers.

Convert any mixed numbers to fractions.

Convert 3 1/8

3 1/8 = 25/8

We now have:

5 : 3 1/8 = 5 : 25/8

Convert the whole number 5 to a fraction with 1 in the denominator.

We then have:

5 : 3 1/8 = 5/1 : 25/8

Convert fractions to integers by eliminating the denominators.

Our two fractions have unlike denominators so we find the Least Common Denominator and rewrite our fractions as necessary with the common denominator

LCD(5/1, 25/8) = 8

We now have:

5 : 3 1/8 = 40/8 : 25/8

Our two fractions now have like denominators so we can multiply both by 8 to eliminate the denominators.

We then have:

5 : 3 1/8 = 40 : 25

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 40 and 25 is 5

Divide both terms by the GCF, 5:

40 ÷ 5 = 8

25 ÷ 5 = 5

The ratio 40 : 25 can be reduced to lowest terms by dividing both terms by the GCF = 5 :

40 : 25 = 8 : 5

Therefore:

5 : 3 1/8 = 8 : 5

Step-by-step explanation:

Answer:

we can say that the points are reflection of each other over the x-axis.

Option D is correct option.

Step-by-step explanation:

We need to find which of the following statements are true about the points (5,3) and (5,-3) is true.

We are given a point (5,3)

and other point (5,-3)

We know that refection over x-axis states that the value of y-coordinate will be negated while x-coordinate value remain same.

In our case, first point (5,3) the coordinates are: x=5, y=3

The other point (5,-3) the coordinates are: x=5, y=-3

The x-coordinate value remains same while, y-coordinate value is negated (negative)

So, we can say that the points are reflection of each other over the x-axis.

Option D is correct option.

Answer: Option D is the correct option.

Step-by-step explanation:

We need to find which of the following statements are true about points (5,3) and (5,-3) is accurate.

We are given a point (5,3)

and another point (5,-3)

We know that reflection over the x-axis states that the value of the y-coordinate will be negated while the x-coordinate value remains the same.

In our case, for the first point (5,3) the coordinates are x=5, y=3

The other point (5,-3) the coordinates are: x=5, y=-3

The x-coordinate value remains the same while, the y-coordinate value is negated (negative)

So, we can say that the points are reflections of each other over the x-axis.

Answer:

5:3

Step-by-step explanation:

Answer:

$1050

Step-by-step explanation:

Simple interest =P*R*T/100,

substituting the values:

3000*7*5/100= 1050.

therefore Simple interest = $1050

Answer:

87.2

Step-by-step explanation:

49^2+87.2^2=100.02^2

9514 1404 393

Answer:

  (15, 0) = (movies, games)

Step-by-step explanation:

If the goal is to purchase as many items as possible, that is best reached by spending all of the money on the least-expensive items. Purchase of 15 movies (at $20 each) will do what Lane wants.

  (movies, games) = (15, 0)

__

The graph shows that answer choice (12, 4) is not in the solution set.

Answer:

-7/3

Step-by-step explanation:

Give your answer in its simplest form.​

Gradient is also known as slope and it is expressed as;

Slope = y2-y1/x2-x1

Given the coordinate point (7,2) and (10,-5).

Slope = -5-2/10-7

Slope = -7/3

Hence the gradient of the line segment between the points is -7/3

Answer:

15

Step-by-step explanation:

First you will find the absolute value and a differnce between a number will always be positive!

Answer: 52m cards

Step-by-step explanation:

First part of question says: Karen has m decks of cards.

If Karen has m deck of cards and each deck has 52 cards in it, the total number of cards that all that Karen will have will be 52 multiplied by the number of deck of cards Karen has:

= 52 * m

= 52m

Answer:

its only 20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

The third one

Step-by-step explanation:

Answer:

Average speed = 90 km/h

Step-by-step explanation:

Given that:

Distance covered at 100 km/h = 450 km

Time = [tex]\frac{Distance}{Speed}[/tex]

Time = [tex]\frac{450}{100}=4.5\ hours[/tex]

Distance covered at 60 km/h = 90 km

Time = [tex]\frac{90}{60}=1.5\ hours[/tex]

Total distance travelled = 450 + 90 = 540 km

Total time taken = 4.5 + 1.5 = 6 hours

Average speed = [tex]\frac{Total\ distance}{Total\ time}[/tex]

Average speed = [tex]\frac{540}{6}[/tex]

Average speed = 90 km/hr

Hence,

Average speed = 90 km/h

Answer:

30%

Step-by-step explanation:

In this case, we have a positive change (increase) of 30% because the new value is greater than the old value. Using this tool you can find the percent increase for any value.

Hope this helps!

Brain-list?

Answer:

[tex]\huge\boxed{\sf < I = 45.2\°}[/tex]

Step-by-step explanation:

Firstly, we've to draw a triangle according to the givens. (See the attached file)

Then according to the Trigonometric Ratios:

Cos (I) = Adjacent / Hypotenuse

Cos (I) = 62 / 88

Cos (I) = 0.704

< I = Cos ⁻¹ (0.704)

< I = 45.2°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

45.2

Step-by-step explanation:

hope it helps