On the first four​ exams, Steve's grades are 70​, 76​, 88​, and 92. There is still one more exam and he is hoping to earn a B in the course. This will occur if the average of his first five exam grades is greater than or equal to 80 and less than 90. What range of grades on the fifth exam will result in earning a​ B?
The range of grades on the fifth exam that results in earning a B is ___? If the highest grade is​ 100, then
_____.

Step-by-step explanation:

First, you recognize the algorithm for the equation: A=P(1+r)^n. This is the algorithm for interest. P is the amount of initial money (in this case, 6500), r is the interest rate (6%, or 0.06), and n is the number of times it is being compounded. Since half a year is given to me, 6 months is what I will be using, or just 6.

Next, plug in the numbers. The equation is now: A=6500(1+0.06)^6.

Now time to solve. First add what's in the parenthesis, and put it to the power of 6, for 6 months. Then multiply that amount to the initial dollar amount; 6500. This will leave you with 9,220.37.

it is 3r.75 it totally right

Answer:

6

Step-by-step explanation:

Just remember the order of operations (PEMDAS)

5 - 2 + 12 / 4, first divide

5 - 2 + 3, then proceed from left to right

3 + 3 = 6

The radius of the circle is approximately 7.5 cm, and the corresponding area is approximately 56.25π cm², as calculated using the formulas for circumference and area. Here option C is correct.

1: Find the radius using the circumference formula

We know the circumference C = 157 cm.

We also know the formula for circumference of a circle: C = 2πr, where r is the radius.

Rearranging the formula to solve for r, we get: r = C / (2π).

Substituting C with 157, we get: r = 157 / (2π) ≈ 7.5 cm.

2: Calculate the area using the area formula

Now that we know the radius, we can use the formula for the area of a circle: A = πr², where A is the area.

Substituting r with 7.5, we get: A = π * (7.5)² ≈ 56.25π cm².

Therefore, the area of the circle is 56.25π cm². Here option C is correct.

Complete question:

The circumference of a circle is 157 centimeters. What is the area of the circle in terms of t?

A - 7.570 cm?

B - 157 cm

C - 56.251 cm

D - 2257 cm

Answer:

4(4)= 16

4(5)= 20

4(6)=24

4(7)= 28

4(8)= 32

4(9)= 36

4(10)= 40

Step-by-step explanation:

Answer:

16[tex]\pi[/tex]

Step-by-step explanation:

we know that the formula for finding area of circle is A=[tex]\pi[/tex]r^2. and circumference of circle can be calculated by c=2[tex]\pi[/tex]r.

first we need find radius from circumference formula and put in area formula to get the desired result.

for radius, r=c/2[tex]\pi[/tex] =8[tex]\pi[/tex]/2[tex]\pi[/tex] we get 4. now put in area formula as shown above.

we get , A=[tex]\pi[/tex]*(4)^2 =[tex]\pi[/tex]*4*4 =16[tex]\pi[/tex]

Answer:

The answer is B 16

Step-by-step

Answer:

25.4 feet tall

Step-by-step explanation:

254 divided by 10 equals 25.4

The height of the apple tree that you expect an apple tree to be ​25.4 feet.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A coast redwood tree is about 10 times as tall as an apple tree.

Let 'x' and 'y' be the height of redwood and apple trees. Then the equation is given as,

y = x / 10

One of the tallest coast redwoods even measured 254 feet tall. Then we have

y = 254 / 10

y = 25.4 feet

The height of the apple tree that you expect an apple tree to be ​25.4 feet.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

Answer:

A)   Θ = 2A/r²

Step-by-step explanation:

A = Θr²/2

(Multiple both sides by 2)

2A = Θr²

(Divide both sides by r²)

2A/r² = Θ

Answer:

144 ft cubed

Step-by-step explanation:

Multiply 576 by 1/4.

576 x 1/4 = 144

Answer:

[tex]9ft^{3} [/tex]

Step-by-step explanation:

If each cube has an edge length of 1/4;

[tex] \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} = \frac{1}{64} [/tex]

Each cube has a volume of 1/64 feet cubed. Now, multiply by 576.

[tex] \frac{1}{64} \times \frac{576}{1} = \frac{576}{64} [/tex]

[tex]576 \div 64 = 9[/tex]

The rectangular prism has a volume of 9 feet cubed.

Answer: n=4

Step-by-step explanation:

1) add 3 to both sides: 5n=20

2) divide by five on both sides: 5n/5 and 20/5

3) answer n=4

Answer:

17+3=20

20/5 = 4

5(n)-3 + 17

5(4) - 3 = 17

20-3 = 17

n = 4

Step-by-step explanation:

The two given angles are vertical angles and equal each other:

3x + 50 = 6x -10

Now solve for x:

Subtract 3x from both sides:

50 = 3x -10

Add 10 to both sides:

60 = 3x

Divide both sides by 3

X = 20

Answer:

od=2(13)

Step-by-step explanation:

Diameter of a circle is two times of its radius.

Answer: It wouldn’t be 13 to the second power you have to divide 13 by 2 then do that by the second power 13/2=6.5 than 6.5 to the second power so it would be 13x3.14=40.82

Step-by-step explanation:

Answer:

b. 4

Step-by-step explanation:

Given f(x) = 4x - 4 and g(x) = x - 1, we can find (f/g)(x) by dividing f(x) by g(x):

(f/g)(x) = (4x - 4)/(x - 1)

Now, substituting x = -4 into the expression

(f/g)(-4) = (4*(-4) - 4)/((-4) - 1) = (-16 - 4)/(-5) = -20/-5 = 4

Therefore, the correct answer is b. 4.

Given the function g(x) = x - 1, let's solve (f/g)(-4) using the function f(x) = 4x - 4.

To find (f/g)(-4), we need to evaluate the expression (f(x)/g(x)) at x = -4.

First, let's find the value of f(x)/g(x) for any x:

(f/g)(x) = f(x)/g(x) = (4x - 4)/(x - 1)

Now, substituting x = -4 into the expression:

(f/g)(-4) = (4(-4) - 4)/((-4) - 1) = (-16 - 4)/(-5) = -20/-5 = 4

Therefore, the correct answer is b. 4.

Your answer would be 4000.

The only step needed:

Multiply 400 by 10.

400 ---> 400×10 ---> 4000

Hope this helps, :)

Answer:

{ - 9, - 7, - 3, - 1 }

Step-by-step explanation:

To obtain the range substitute the values of x from the domain into f(x)

f(- 2) = - 2(- 2) - 5 = 4 - 5 = - 1

f(- 1) = - 2(- 1) - 5 = 2 - 5 = - 3

f(1) = - 2(1) - 5 = - 2 - 5 = - 7

f(2) = - 2(2) - 5 = - 4 - 5 = - 9

range is { - 9, - 7, - 3, - 1 }

Answer:

2

Step-by-step explanation:

1/4 times 8 = 2

Answer: She jogged 2 miles

Step-by-step explanation: 1\4 x 8 which will give you 8\4, then you simplify it and you get 2.

Option D: [tex](3,14)[/tex] is the point of intersection of the two lines.

Explanation:

The two equations are [tex]y-6 x=-4[/tex] and [tex]y-2 x=8[/tex]

We need to find the point of intersection of the two lines.

Thus, let us solve the equation by substitution method.

From the equation [tex]y-6 x=-4[/tex], we shall determine the value of y, by adding both sides of the equation by 6x.

Hence, we have, [tex]y=6x-4[/tex]

Now, substituting [tex]y=6x-4[/tex] in the equation [tex]y-2 x=8[/tex] , we get,

[tex]6x-4-2 x=8[/tex]

       [tex]4x-4=8[/tex]

             [tex]4x=12[/tex]

               [tex]x=3[/tex]

Substituting [tex]x=3[/tex] in the equation [tex]y-6 x=-4[/tex], we get,

[tex]y-2 (3)=8[/tex]

   [tex]y-6=8[/tex]

         [tex]y=14[/tex]

Thus, the point of intersection of the two lines is [tex](3,14)[/tex]

Therefore, Option D is the correct answer.

Answer:

3

Step-by-step explanation:

I think you misses attaching the photo, so please have a look at my photo for your better understanding.

We know the formula for rate of change of the  parabola line:

[tex]\frac{f(b)- f(a)}{b-a}[/tex]

Given here:

a= 2 => f(a) = 2

b=6 => f(b) = 2

Substitute all the values into the function, we have:

[tex]\frac{14-2}{6-2} = 3[/tex]

So the rate of change is 3

Answer:

D.) 3

Step-by-step explanation:

Got it right on the assignment

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x<33

Interval Notation:

(−∞,33)

Step-by-step explanation:

x=k/y------(1)

k=xy

k= 7×3

k=21

from equation 1

x=k/y

y=k/x

y=21/9

y = 2.33

Answer:

3.85714285714

Step-by-step explanation:

7 = 3

9 = y

9*3=27

27/7 = 3.85714285714

Answer:

1/4 2/5 4x5=20

Step-by-step explanation:

Step-by-step explanation:

√17= 4.12

Therefore, we need to find an irrational no. between 4.1 and 4.12

So, the correct option is a

4.1001000100001000001....

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothegm. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothegm = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

There are quite a few possible combinations that are minimum 8 sodas, and under $20.

1. 4 Dr. Peppers and 4 Sprites. $2.98 times 4 = $11.92. $1.99 times 4 = $7.96. $7.96 + $11.92 = $19.88.

2. 3 Dr. Peppers and 5 Sprites. $2.98 times 3 = $8.94. $1.99 times 5 = $9.95. $9.95 + $8.94 = $18.89.

3. 2 Dr. Peppers and 6 Sprites. $2.98 times 2 = $5.96. $1.99 times 6 = $11.94. $11.94 + $5.96 = $17.90.

4. 2 Dr. Peppers and 7 Sprites. $2.98 times 2 = $5.96. $1.99 times 7 = $13.93. $5.96 + $13.93 = $19.89.

5. 1 Dr. Pepper and 7 Sprites. $2.98 times 1 = $2.98. $1.99 times 7 = $13.93. $2.98 + $13.93 = $16.91.

6. 1 Dr. Pepper and 8 Sprites. $2.98 times 1 = $2.98. $1.99 times 8 = $15.92. $15.92 + $2.98 = $18.90.

I hope this helps!

Answer:the slope is 3/9

Step-by-step explanation:use the y intercept form

Answer:

3

Step-by-step explanation:

Slope = change in y/change in x

That’s y2 - y1 /x2 - x1

Given

x1 = 2

y1 = 5

x2 = -1

y2 = -4

Slope = -4 - 5 /-1 - 2

= -9/-3

= 3

Answer:

The required distance is 17.34 meters.

Step-by-step explanation:

The lengths of the two wires are 12 meters and 16 meters. and the angle between the wires is 75°.

Now, we have to calculate the distance between the wires on the ground.

Therefore, we have to calculate the length of the side which is the opposite side of angle 75° of the triangle formed by the wires and the ground.

Applying the formula of properties of the triangle, if the length required is x, then

[tex]\cos 75^{\circ} = \frac{12^{2} + 16^{2} - x^{2}}{2 \times 12 \times 16}[/tex]

⇒ 99.38 = 144 + 256 - x²

⇒ x = 17.34 meters. (Answer)

Mean: 175/5 = 35.

Median: 0, 25, 25, 25, 100 - 25 is in the middle.

Mode: 25, it appears the most.

The outlier 100 affects the data, because the number 100 still farthest from the main cluster. (Sorry if this is wrong)