7² + 8⁵ - 8²
Simplify

Answer:

-1-4=-5

5+2=7

slope=-5/7

Answer:

slope = -5/7

Step-by-step explanation:

Answer:

9/5

Step-by-step explanation:

Given that ,

⇒ 6x - 9 = x

⇒ 6x - x = 9

⇒ 5x = 9

⇒ x = 9/5

Final answer:

To solve the equation V(6x - 9) = x, we square both sides, rearrange the resulting quadratic equation, and factor it to find that x = 3 is the solution.

Explanation:

The equation given is V(6x - 9) = x. To find the value of x, we must solve the equation that involves a square root. First, we need to square both sides of the equation to eliminate the square root:

Answer:

x < -2.5 and x > 1

Step-by-step explanation:

Answer:

C and e

Step-by-step explanation:

there are two sides and its pretty much completely random on which side it lands on 2 sides = 1/2 probrability for each side and for the dice there are 3 odd numbers and 3 even numbers so thats half and half of the dice therefore 1/2 probrability

It is C and E. It can't be A or D or B.

Answer:

8c² + 66c + 16

Step-by-step explanation:

Given

(c + 8)(8c + 2)

Each term in the second factor is multiplied by each term in the first factor, that is

c(8c + 2) + 8(8c + 2) ← distribute both parenthesis

= 8c² + 2c + 64c + 16 ← collect like terms

= 8c² + 66c + 16

Final answer:

To determine the number of shareholders aged 40 and over, subtract the number of shareholders under 40 (55.5% of 91,000) from the total, resulting in 40,495 shareholders who are 40 and over.

Explanation:

The question asks how many shareholders are aged 40 and over in a fast food chain given that 55.5% are under 40 and there are a total of 91,000 shareholders.

First, we must find the number of shareholders under 40: 0.555 × 91,000 = 50,505 shareholders. Next, we subtract this from the total number of shareholders to find the number of shareholders aged 40 and over: 91,000 - 50,505 = 40,495 shareholders.

Therefore, 40,495 shareholders are aged 40 and over.

Answer:

The unit price is 63 cent per kilogram bag of rice.

Step-by-step explanation:

Given:

A 6-kilogram bag of rice costs $3.80.

Now, to find the unit price.

So, to get the unit price we use unitary method:

If cost of 6 kilogram bag of rice = $3.80.

Then cost of 1 kilogram bag of rice = [tex]\frac{3.80}{6}[/tex]  = [tex]\$0.633.[/tex]

Thus, the unit price is $0.633 per kilogram bag of rice.

Now, according to question we convert the unit price into cent by using conversion factor:

$1 = 100 cent

$0.633 = [tex]0.633\times 100=63.3\ cent.[/tex]

So, rounded to nearest cent  = 63 cent.

Therefore, the unit price is 63 cent per kilogram bag of rice.

The equation representing the proportional relationship between the number of laps Rosa runs and the amount of money she raises is y = 5x. This linear equation suggests that for every lap completed, $5 is earned for the hospital.

The relationship between the number of laps Rosa runs (x) and the amount of money she raises for the hospital (y) can be described by a linear equation because there is a proportional relationship between x and y. We can see from the values given that each lap corresponds to $5. Therefore, the slope (change in y divided by the change in x) is $rac{$5}{1 lap} = $5$ per lap. Since there is no initial fee mentioned (y-intercept, b), the equation is simply the slope times the number of laps.

So, we can write the equation as y = 5x. This equation tells us that for every lap Rosa runs, she will raise $5. If we plot this relationship on a graph with x as the independent variable and y as the dependent variable, we would get a straight line that passes through the origin (0,0).

Each share in the software company costs approximately $5,195.14 and each share in the biotech firm costs approximately $5,137.15.

To find out how much each share costs, we need to solve a system of equations. Let's call the cost of each share in the software company 'x' and the cost of each share in the biotech firm 'y'.

From the given information, we know that Dean purchased 14 shares in each company for a total cost of $812. This gives us the equation 14x + 14y = 812.

Similarly, Carrie invested a total of $5,767 in 100 shares in the software company and 99 shares in the biotech firm. This gives us the equation 100x + 99y = 5,767.

Now, we can solve this system of equations using either substitution or elimination method.

Using the elimination method, multiply the first equation by 99 and the second equation by 14 to make the coefficients of 'x' in both equations equal:

Now subtract the first equation from the second equation:

Divide by 14 on both sides to find the value of 'x':

Now substitute the value of 'x' back into one of the original equations to find the value of 'y'. Using the first equation:

Therefore, each share in the software company costs approximately $5,195.14 and each share in the biotech firm costs approximately $5,137.15.

Step-by-step explanation:

We have,

(5[tex]x^2[/tex] − 3x − 2) − (− 2[tex]x^2[/tex] − x + 10)

To subtract (5[tex]x^2[/tex] − 3x − 2) − (− 2[tex]x^2[/tex] − x + 10) = ?

∴ (5[tex]x^2[/tex] − 3x −2) − (−2[tex]x^2[/tex] − x + 10)

= 5[tex]x^2[/tex] − 3x − 2 + 2[tex]x^2[/tex] + x - 10

= (5[tex]x^2[/tex] + 2[tex]x^2[/tex]) + ( − 3x + x) + (- 2 - 10)

= 7[tex]x^2[/tex] + ( -2x) + ( - 12)

= 7[tex]x^2[/tex]  - 2x - 12

∴ (5[tex]x^2[/tex] − 3x −2) − (−2[tex]x^2[/tex] − x + 10) = = 7[tex]x^2[/tex]  - 2x - 12

Do 5*12 because that's 5*(4+4+4) which the 4s are the base lengths added together. So you have 60 for one part of the figure.

Next, you have 2*4 left to add on to the figure which is 8.

So 60+8=68 is your answer

68 units^2

Hope this helped!

Answer:

The area of the figure is 68ft^2

Step-by-step explanation:

To get the area look for the separate shapes in the figure, there are 2

One has the side lengths of 5ft and 12ft, to get the 12ft length see that one side is segmented into 3 4ft long lines.

5ft * 12ft= 60ft^2

The other shape has the side lengths of 2ft and 4ft

2ft*4ft= 8ft^2

60ft^2 + 8ft^2= 68ft^2

[tex]\frac{1}{2}[/tex]x - 54 > 233 would be your inequality.

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The inequality that represents 54 less than 1/2 of a number is more than 233 would be; 1/2 x - 54 > 233

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

Given that 54 less than 1/2 of a number is more than 233

Let the number be x.

So, 1/2 of a number means 1/2x

54 less than 1/2 of a number = 1/2 x - 54

Therefore,

Hence, 1/2 x - 54 > 233 would be your inequality.

Learn more about inequalities here:

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Answer:

The hour hand is three-fourths of the way from the "4" to the "5; that is, ... What is the angle between the hour hand and the minute hand at 4:40? ... What is the measure of the smaller angle formed by the hands of an analog watch if the hour hand is on the ... One has to account, however, for the 10 minutes that have passed.Step-by-step explanation:

Answer:

y equals 2/3. u have to do 2/3 ×6 I'm pretty sure

Answer: B, C, D

Step-by-step explanation:

A linear function is a straight line and is written as y=mx+b

A y = 10x is linear

B y = -5x-15 is linear

C y = 2x^2+10 is not linear (the x^2 makes it a parabola)

D y = 12x + 1 is a straight line

E y = -20 is straight line through -20 on the y-axis

F y = 7x^2 + 4 is not a straight line

Answer:

a) A

b) B

c) C

Step-by-step explanation:

There are 9 different outcomes when 2 die are rolled.

a) A & B : A has a higher chance of winning, i.e probability of 5/9

(A,B) : (2,1) (9,1) (9,8) (9,6) (4,1)

In other 4 possible outcomes, B will win which is a probability of 4/9 (less than 5/9)

b) B & C: B has a higher chance of winning, i.e probability of 5/9

(B,C) : (8,3) (8,7) (8,5) (6,3) (6,5)

In other 4 possible outcomes, C will win which is a probability of 4/9 (less than 5/9)

c) A & C: C has a higher chance of winning, i.e probability of 5/9

(A,C) : (2,3) (2,7) (2,5) (4,7) (4,5)

In other possible outcomes, A will win which is a probability of 4/9 (less than 5/9)

Answer:

12 kilometers

$31 total fare

Step-by-step explanation:

7 + 2x   company A

19 + x .   Company B

set these equal and solve for x

x is number of kilometers

7 + 2x = 19 + x

2x = 12 + x

x = 12 kilometers

7 x 2 (12) = $31

Answer:

Step-by-step explanation:

Circumference of a circle means the perimeter of a circle and it is given be

Perimeter=2πr

P=2πr

Though π is a constant

But this question want us to find π

Make π the subject of the formula

Then, divide both side by

π=P/2r

Given that P=37.7cm

And diameter =12

And radius is half of diameter.

Therefore, radius =12/2=6cm

Then

π=P/2r

π=37.7/2×6

π=37.7/12.

Then, the last option is the correct option

Answer:

the perimeter is 36

Step-by-step explanation:

Answer:

The correct answer is 36

Step-by-step explanation:

Edg. 2020

Answer:

x=7

Step-by-step explanation:

x+16=4x-5

16=4x-x-5

16=3x-5

3x=16+5

3x=21

x=21/3

x=7

Answer:

x=7

Step-by-step explanation:

Option B: [tex]\frac{1}{25}[/tex]

Solution:

Slope of the perpendicular lines:

If two lines are perpendicular then their slopes are negative reciprocals of each other.

[tex]$m_1=\frac{-1}{ m_2}[/tex]

Slope of the parallel lines:

If two lines are parallel then they have the same slope.

i.e their slopes are equal.

[tex]m_1=m_2[/tex]

Given line m and p are parallel.

Slope of the line m = [tex]\frac{1}{25}[/tex]

Using slope of the parallel lines definition,

Slope of the line p = slope of the line m

Slope of the line p = [tex]\frac{1}{25}[/tex]

Option B is the correct aswer.

Hence the slope of the of line p is [tex]\frac{1}{25}[/tex].

Jack should invest $8400 in the CD account and $3600 in the savings account.

Step-by-step explanation:

Jack wants to earn 7.5% interest per year. That implies he wants to earn

7.5/100*12000 per year i.e $900 per year.

Lets assume he invests X amount in the savings account. That leaves 12000-X to be invested in the CD account.

That implies,

[tex]4/100*X + 9/100*(12000-X) = 900[/tex]

=> [tex](4X+108000-9X)/100 = 900[/tex]

=> [tex]-5X = 90000-1080000 = -18000[/tex]

=> X = 3600

Answer:

63

Step-by-step explanation:

The given expresion is

[tex]5 {e}^{2} - 4g + 7[/tex]

We want to find the value of this expression when e=4 and g=6.

We substitute these values to get:

[tex]5( {4}^{2} ) - 4(6) + 7[/tex]

We evaluate to obtain:

[tex]5(16) - 4(6) + 7[/tex]

Let us multiply out to get:

[tex]80 - 24 + 7[/tex]

This simplifies to 63

6 sec can take penny to strike the ground.

Solution:

Given data:

[tex]H_0=288[/tex] feet

[tex]V_0=48[/tex] feet

[tex]h(t)=288+48t-16t^2[/tex]

Re-arrange the terms from greatest degree to smallest degree.

[tex]h(t)=-16t^2+48t+288[/tex]

We can solve it by applying quadratic formula,

[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Here a = –16, b = 48, c = 288

[tex]$t=\frac{-48\pm \sqrt{48^2-4(-16)(288)}}{2(-16)}[/tex]

[tex]$t=\frac{-48\pm \sqrt{2304+18432}}{-32}[/tex]

[tex]$t=\frac{-48\pm \sqrt{20736}}{-32}[/tex]

[tex]$t=\frac{-48\pm144}{-32}[/tex]

Now, write find two t's using plus and minus operation.

[tex]$t=\frac{-48+144}{-32},\ \ t=\frac{-48-144}{-32}[/tex]

[tex]$t=\frac{96}{-32},\ \ t=\frac{-192}{-32}[/tex]

t = –3 (or)   t = 6

We cannot write time is negative. so neglect t = –3.

Therefore t = 6.

Hence 6 sec can take penny to strike the ground.

Answer:

three and five hundreths

Answer:

three and five thousandths

Step-by-step explanation:

3 counts as one and the decimal is said as "and" and the spaces after the decimal are tenths,hundredths and thousandths

To find the percent of data that is at most two or three, locate the corresponding column in the frequency table and divide the frequency by the total number of data points. To find the percent of data that is more than two, subtract the percent at most two from 100.

1. To find the percent of data that is at most two, I would look at the table that displays the frequency of the number of movies viewed. I would locate the column that represents 'at most two' and find the corresponding frequency. To calculate the percent, I would divide this frequency by the total number of data points and multiply by 100.

2. To find the percent of data that is at most three, I would use the same procedure as in the previous question, but this time I would find the column representing 'at most three.'

3. To find the percent of data that is more than two, I would subtract the percent of data that is at most two from 100. This is because the percent of data that is at most two includes any data that is less than or equal to two.

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Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = -200 - 12(x)

x = -16

y = -200 - 12(-16)

y = -200 + 192

y = -8

Answer:

y=-8

Step-by-step explanation:

y=-200-12(-16)

y=-200+192

y=-8

Answer:

72.22in

Step-by-step explanation:

c=d*pie

23*3.14

Answer:

About 72 in.

Step-by-step explanation:

The circumference = π x the diameter of the circle (Pi multiplied by the diameter of the circle).

c = π·23

c= 72.2566310326

I hope this helps!

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