Select the expression that represents the following statement: 52 minus 4 times the difference of 13 and 7.

Answer:

424 yards²

Step-by-step explanation:

Diameter 22, radius 11

Outer circle: radius = 11+5 = 16

Area of the path:

Pi× (16²-11²)

= 135pi yards²

Or, 424 yards² (3 sf)

Answer:

135pi

Step-by-step explanation:

(I'm guessing you want to know the ring's area)

Diameter = 22 yards, meaning Radius = 11 yards

[tex](11+5)^{2}\pi[/tex] = 256pi = Outer Ring + Pool

[tex](11)^{2}\pi[/tex] = 121pi = Pool

Outer Ring = 256pi - 121pi = 135pi

Answer:

B.     Ray

Step-by-step explanation:

When they ask what does AB represent because they put the A first this means that the line is going from A to B and because there is an arrow and the end of B this means its a ray.

A ray is a half-infinite line. AB represents a ray.

A ray is a half-infinite line (sometimes called a half-line) in which one of the two points A and B is assumed to be at infinity.

As we can see that AB has a point on one side while the other side of the line has an arrow, therefore, AB represents a ray.

Learn more about Ray:

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Answer:

Step-by-step explanation:

Given that,

11/20 + c = 3/4

Subtract 11/20 from both sides of the equation to eliminate 11/20

11/20-11/20+c=3/4-11/20

c= (15-11)/20

c=4/20

c=1/5

Answer:

k=2.1

Step-by-step explanation:

k/3.5  + 7.4 = 8

Subtract 7.4 from each side

k/3.5  + 7.4 -7.4 = 8-7.4

k/3.5 = .6

Multiply each side by 3.5

k/3.5 *3.5 = .6 *3.5

k = 2.1

Answer:

-56/75

Step-by-step explanation:

1/-5ab = 1 ÷ -5ab

we substitute the value of a = 3/7 and b = 5/8 into 1 / -5ab

we have

1/ -5 × 3/7 × 5/8 = 1/ -75/56

this can be written as

1 × 56/-75 = -56/75

Final answer:

The derivative of the sum of functions f and g at x = 3 is calculated by adding the derivatives of f and g at 3. Given that f'(3) = 4 and g'(3) = 0, the derivative (f + g)'(3) equals 4.

Explanation:

The student is asking about the derivative of a sum of two functions at a specific point, which is a concept covered in calculus. From the given information, we know that:

To find (f + g)'(3), we apply the rule for the derivative of a sum of functions, which states that:

(f + g)'(x) = f'(x) + g'(x)

Therefore, (f + g)'(3) is:

(f + g)'(3) = f'(3) + g'(3)

(f + g)'(3) = 4 + 0

(f + g)'(3) = 4.

Thus, the derivative of the sum of functions f and g at x = 3 is 4.

Answer:

p = 0.2

Step-by-step explanation:

Step 1:  Distribute

29.91 - 1.35p = -5.7(-6p - 4)

29.91 - 1.35p = 34.2p + 22.8

Step 2:  Add 1.35p to both sides

29.91 - 1.35p + 1.35p = 34.2p + 22.8 + 1.35p

29.91 = 35.55p + 22.8

Step 3:  Subtract 22.8 from both sides

29.91 - 22.8 = 35.55p + 22.8 - 22.8

7.11 = 35.55p

Step 4:  Divide both sides by 35.55

7.11 / 35.55 = 35.55p / 35.55

0.2 = p

Answer:  p = 0.2

Answer:

A: y = 2x + 3

Step-by-step explanation:

y intercept: 3

Slope is positive

Only option A satisfies both of the above

Yes.

8 4/5 = 8 8/10 = 8.8

8.8 is greater than 8.08

Answer:

yes

Step-by-step explanation:

4/5 as a fraction is 8/10 and 8/10 as a decimal is 0.8 and 0.8 is greater than 0.08

The solution to the system of equations y = -4x and y = 2x + 12 is found by setting the two equations equal to each other, solving for x, and then finding y. The ordered pair solution is (-2, 8).

To find the ordered pair solution to the system of equations y = -4x and y = 2x + 12, we need to set the two equations equal to each other since they both describe y in terms of x. This gives us:

-4x = 2x + 12

Now, we will solve for x by combining like terms:

-4x - 2x = 12

-6x = 12

To get x by itself, divide both sides by -6:

x = -2

Next, we substitute x = -2 back into one of the original equations to find y. For example:

y = 2(-2) + 12

y = -4 + 12

y = 8

Therefore, the solution to the system of equations is the ordered pair (-2, 8).

Answer:

3

Step-by-step explanation:

Answer:

n = 3

Step-by-step explanation:

-1(n2 + 3) if n = -3.

from the question

-1(n2 + 3)

we are then asked to find n if its equals to -3

solution

-1(n2 + 3) .................. we are going to open the bracket with-1 according to BODMAS rule

we have,

-n²-3

when the value of n = -3

we have,

= (-3)² - 3

= 9 - 3

= 3

therefore  when n = -3 in the expression -1(n2 + 3)  the value of n = 3

to check if your answer is correct you will put the value of n which is 3 into the -1(n2 + 3)  then you will see that the right handside = lefthandside

which is

3=3...........proved.

Answer:

The acceleration is

[tex]4.5 {ms}^{ - 2} [/tex]

Step-by-step explanation:

Use the equation of motion,

[tex]v = u + at[/tex]

where u=0m/s is the initial speed, v=9m/s is the final speed and t=2 seconds is the time.

We substitute the values into the equation and solve for the acceleration, a

[tex]9 = 0 + a(2)[/tex]

This means that;

[tex]9 = 2a[/tex]

Divide both sides by 2 to get:

[tex]a = \frac{9}{2} [/tex]

[tex]a = 4.5 {ms}^{ - 2} [/tex]

Answer:

42 centimetres

Step-by-step explanation:

First, u have how many centimetres knitted over 1 night:

Statement B explains correctly that the parking garage charges a higher rate per hour than the parking lot. Statements B and D are the same.

Step-by-step explanation:

Step 1:

For the parking lot, there is a flat fee of $7.00 and then a charge of $1.00 every hour.

So if a vehicle was parked for 1 hour charges are 7 + 1 (1) = $8,

If parked for two hours charges are 7 + 1 (2) = $9.

Step 2;

To understand the pricing of the parking garage, we must plot the points of the graph.

The points on the graph are (0, 4), (1, 6), (2, 8), (3, 10), (4, 12), (5, 14)...

So for the parking garage, there is a flat fee of $4 and then a charge of $2.00 every hour.

So if a vehicle was parked for 1 hour charges are 4 + 2 (1) = $6,

If parked for two hours charges are 4 + 2 (2) = $8.

Step 3:

Comparing both the parking lot and the parking garage, we get that the flat fee for the parking lot is higher while the parking charges for an hour are higher for the parking garage which is statement B.

Statement B and D are the same.

Answer:

B

Step-by-step explanation:

Answer:

3 = x, 2 = y

Step-by-step explanation:

Opposite sides in a parallelogram are always congruent, so 2y+3=y+5 and 4y+1=4x-3

The first equation, when solved, shows that y = 2

When you plug that into the second equation, you get 4(2) + 1 = 4x - 3

This means that 12 = 4x, so 3 = x

Answer:

22

Step-by-step explanation:

22 shows up twice and the rest of the numbers show up once.

Answer:22

Step-by-step explanation:

It appears most often.

Answer:

the number -5 is a real number

Step-by-step explanation:

real numbers are basically all numbers.... if you havent met complex numbers yet..

hopefuly this helped

:)

Answer:

the number -5 is a real number

Step-by-step explanation:

all the others are wrong.

Answer: answer is 1

Step-by-step explanation:

Slope(m) of the line = change in y/change in x

y2 - y1/x2 - x1

Locate the coordinates points: (-2, -8) and (-3, -9) ?

X1= -2, X2=-3

Y1= -8, y2= -9

Slot in the values into the equation:

m = -9 - (-8)/-3 - (-2)

-9 + 8/ -3 +2

= -1/ -1

=1

I hope this helps.

Answer:

48

Step-by-step explanation:

[tex] \frac{10}{25} [/tex]

athletes are female. Now, we need to find what

[tex] \frac{x}{120} [/tex]

athletes are female.

10 ÷ 25 = 0.4

0.4 × 100 = 40 so

[tex] \frac{10}{25} = 40\%[/tex]

40% is the experimental probability for the number of female athletes in the sample. 40% of 120 should be about the number of female athletes in the whole school.

120 × 0.4 (or 40%) = 48.

You can infer that 48 athletes in the school are female.

Answer:

Step-by-step explanation:48

Answer:

0.11

Step-by-step explanation:

You would convert the percentage to a fraction. Since the % symbol means 'out of 100', you would put 11 over 100: 11/100.

Then you would convert the fraction to a decimal: 0.11.

An easier way could also be to take the percentage and move it two decimal places to the right.

Ex: 43% moved two decimal places to the right would be 0.43.

I hope this helps!

Answer:

0.11

Step-by-step explanation:

Answer: 3

Step-by-step explanation: Plug in x = -7

Answer: x = 3

Step-by-step explanation:

-5 -x = -8

-× = -8 + 5

-x = -3

x = 3

Answer:

D

Step-by-step explanation:

Congruent sides mean that they have "EQUAL" lengths.

So, to prove to sides are congruent means that their lengths are equal.

Slope gives the slope of a line. So this can't be it.

Area gives the area of figure. Nothing to do with congruency of 2 lines.

Midpoint formula gives the coordinates of the midpoint. Nothing here.

Distance formula gives the length of sides. So, this is the one we can use to prove that a figure has congruent sides. We can place the figure in coordinate system and find the length of 2 respective sides using "distance formula"

Correct answer is D

Answer:

(r+3)(r-5)

Step-by-step explanation:

r^2-2r-15

(r+3)(r-5)

+3-5=-2

+3*-5=-15

Answer:

The length is r + 3 and the width  r - 5..

Step-by-step explanation:

r^2 - 2r - 15

= (r - 5)(r + 3)

The length is r + 3 and the width  r - 5

Step-by-step explanation:

The Mathematical transformation of the given statement would be:

[tex]2x - 15 = y[/tex]

Answer:

Table B is the correct answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x-6=48

2x=42+6

2x=48days

x=24days

The employee worked 16 days and the employer worked 26 days to reach the total of 42 days both worked.

This problem can be solved using algebraic expressions. Let's denote the number of days the employee worked as 'e'. According to the problem, the employer worked (e+6) days, since he lacked 6 days of working twice as many days as his employee (2e-6). Then, combining these gives the equation (2e-6) + e = 42 (the total number of days they both worked). We can simplify this equation by adding like terms and getting 3e - 6 = 42. Solving for 'e' will give us the number of days the employee worked. First, add 6 to both sides of the equation making it 3e = 48. Then, divide both sides by 3 to solve for 'e'. Thus, e = 16. This means the employee worked 16 days. The employer, having worked (2e-6) days, worked (2*16-6) = 26 days.

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Answer:

C)-10

Step-by-step explanation:

negative divided by negative is positive.

-130 / -13 =10

Answer:

Option C, -10

Step-by-step explanation:

130 / -13

13 goes into 130 ten times

-10

Answer:  Option C, -10

34 base five to 34 base ten is 19.

Step-by-step explanation:

Basically , In order to convert 34 from base 5 to base 10 , We skip consecutive 5 numbers after counting 5 numbers as shown below in table in base-5 table and , just increment 1 in base-10 table

Base- 5    Base-10

 1                     1

 2                    2

 3                    3

 4                    4

 10                  5

 12                    6

 13                    7

 14                    8

 20                    9

.......                  ....

34                 19

34 base five to 34 base ten is 19.

Write the multiples of 5 (1,5,25,125,....) based on the no.of digits given. Then multiply and add to convert it into base 10

5 1

------------

3 4

------------

5 (3)+ 1(4) = 15+4 = 19

Answer:

4[tex]\sqrt{13}[/tex] or 4[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Pythagorean theorem:

your solution will differ based on which side is the hypotenuse

x = [tex]\sqrt{12^{2} -8^{2} }[/tex] =4[tex]\sqrt{5}[/tex]

or x = [tex]\sqrt{8^{2}+12^{2} }[/tex] = 4[tex]\sqrt{13}[/tex]