Student is asked
to evaluate the expression 2 to the power of 4/ 2 to the power of 7 =8
What error did the student make? Explain. Then
evaluate the expression.

Answer:

Step-by-step explanation:

Answer is D

509

-106

403

4 hundred and 3 ones

Answer:

0.24186

Step-by-step explanation:

40 x (3/5) = 24

24 x (3/5) = 72/5 or 14.4

Keep multiplying 3/5 or 0.6

= 0.24186

Answer:

56y^2+46y+8

Explanation:

Hope this helps you.

The height of the water tower is 132 feet

We have the height to be 5 feet 4 inches

then 1 feet = 12 inches

inch = 1 / 12 ft

Then 4 inches = 1 / 12 x 4

= 1 / 3 ft

Height = 5 1/3

= 16 / 3

height of the shadow cast = 3 feet

For the water tank

74 ft 3 inches

= 74 x 3 / 12

297 / 4

the height of the tower

[tex]\frac{height of person}{height of shadow} =\frac{height of tower}{height of person}[/tex]

= [tex]\frac{16/3}{3} =\frac{x}{297/4} \\\\\frac{16}{3*3} =\frac{4x}{297}[/tex]

Then x = 132

Therefore the height of the water tower is 132 feet

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Answer:

x = 7

Step-by-step explanation:

Let's solve the problem,

→ 4x - 2x + x - 6 = 15

→ 3x - 6 = 15

→ 3x = 15 + 6

→ x = 21/3

→ [ x = 7 ]

Thus, the value of x is 7.

x = 12.

Perpendicular lines are lines that intersect at a 90-degree angle. So, for example, line ST is perpendicular to line CD. So line ST is perpendicular to line CD.

Perpendicular lines always intersect each other, however, all intersecting lines are not always perpendicular to each other. The two main properties of perpendicular lines are: Perpendicular lines always meet or intersect each other. The angle between any two perpendicular lines is always equal to 90.

Given that

line m and n are perpendiculars

then angle ∠a = ∠b

then

5x + 20 = 7x -4

7x -5x = 20 + 4

2x = 24

x = 24/ 2

x = 12.

Hence the value of x = 12

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Based on the calculations, the volume of this pyramid is equal to 1440 cm³.

Given the following data:

Length of right triangular base = 9 centimeters and 15 centimeters.

Height of right triangular base = 32 centimeters.

Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × b × h

Where:

h is the height of a pyramid.

b is the base area of a pyramid.

Substituting the parameters into the formula, we have:

Volume = 1/3 × 9 × 15 × 32

Volume = 3 × 15 × 32

Volume of pyramid = 1440 cm³.

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The equation [tex]d=50+20w[/tex] represents the relationship between dollar amount in her bank account and the number of weeks of savings.

(a) It is given that amount in bank account is $50 , amount deposited by Priya is $20 and time period is 12 weeks .

Let " d " be the dollar and " w " be the weeks

Multiply the number of weeks w by 20 to get the total savings and add up how much money she had in the account initially.

Money deposit by Priya in 1 week = $20

Money deposit by Priya in 1 week = [tex]20\times w[/tex]

Therefore , the equation will be [tex]d=50+20w[/tex]

(b) Graph of given equation is given below :

Let " w " represents the x - axis and " d " represents the y - axis

For 1 week , amount will be [tex]d=50+20=60[/tex]

For 2 week , amount will be [tex]d=50+20(2)=90[/tex]

For 3 week , amount will be [tex]d=50+20(3) = 110[/tex]

And so on..

From the graph ,the point which represents the amount after 3 weeks is

(3 , 110 )

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Answer: Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(13×55)+(25×33)=?

Complete the multiplication and the equation becomes

515+615=?

The two fractions now have like denominators so you can add the numerators.

Then:

5+615=11/15

This fraction cannot be reduced.

Therefore:

13+25=11/15

Step-by-step explanation: hope this helps!!!!

Answer:The answer would be 11/15 mile

Step-by-step explanation:

Answer: 1. 35 5/6 - 4 1/2

2. 1 5/8 - 2/3

3. 1 5/8 + 2/3

4. 35 5/6+4 1/2

Step-by-step explanation:

1. E=Eli. J=Jamison

E=J+4 1/2

35 5/6=J+4 1/2

J=35 5/6 - 4 1/2

2. s=cups of strawberries

b=cups of blueberries

m=more cups of b than s

m=b-s

m=1 5/8 - 2/3

3. o=original length of patio.

i=increase in length of patio

t=total length of patio after increase.

o+i=t

1 5/8 + 2/3=t

4. p=pine tree. a=palm tree. i=inches taller

p+i=a

35 5/6+4 1/2=a

Answer: I dont understand what your saying

Step-by-step explanation:

Are you speaking a diffrent language

Answer:

in English: let,will,arrive,let,go

in Romanian: lasa, va, sosi, lasa, pleca

Step-by-step explanation:

I think the language is Romanian

The asymptotes of the graph are vertical asymptotes as; x = 0 and x = -4

The end behavior of the second graph is that as x → ∞, f(x) → -∞ and x → -∞, f(x) → -∞

An asymptote is defined as a line that a curve approaches, as it heads towards infinity. There are three types of Asymptotes namely horizontal, vertical and oblique.

It is called a Horizontal Asymptote when as x goes to positive or negative infinity the curve approaches some constant value.

It is called a Vertical Asymptote when as x approaches some constant value (from the left or right) then the curve goes towards positive or negative infinity

It is called an Oblique Asymptote when as x goes to positive or negative infinity, then the curve goes towards a line y = mx + b

Thus, the asymptotes of the graph are vertical asymptotes as;

x = 0 and x = -4

The end behavior of the second graph is that as x → ∞, f(x) → -∞ and x → -∞, f(x) → -∞

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Answer: it is B

Step-by-step explanation: i would love to help

Kenneth will have to run 2.25 minutes at the same speed to win the bet.

Speed is the rate of movement of an object along a path in time.

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

Now,

Given:

To find: Number of minutes to maintain the speed to win the bet.

Finding:

According to the information given in the question,

The speed in minutes = [tex]\frac{400}{54}(60)[/tex] = 444.44 meter/min

Since Kenneth is determined to run at this speed for 1 km, he will have to maintain it for:

=> [tex]\frac{1000}{444.44}[/tex] = 2.25 minutes (As [tex]Speed =\frac{Distance}{Time}[/tex], => [tex]Time=\frac{Distance}{Speed}[/tex])

Hence, Kenneth will have to run 2.25 minutes at the same speed to win the bet.

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answer:

C. Perpendicular

explanation:

perpendicular is defined as intersecting to create 90 degree angles on all four created angles.

if both lines a and b are perpendicular to line c, then they must be parallel.

The value of x of the first rectangular deck is 8.

For given question,

The perimeter of a one rectangular deck is 78 feet.

The length of the first rectangular deck is  represented as (2x + 3), and its width is represented as (3x-4).

Similarly, the perimeter of a second rectangular deck is 2 times the perimeter of the first deck with a length of (4x + 6) and a width of (6x -1).

We need to find the value of x of the first rectangular deck.

Let P1 be the perimeter of the first rectangular deck.

⇒ P1 = 2 × (length + width)

⇒ 78 = 2 × [(2x + 3) + (3x - 4)]

⇒ 39 = (2x + 3x + 3 - 4)

⇒ 39 = 5x - 1

⇒ 40 = 5x

⇒ x = 40/5

⇒ x = 8

Therefore, the value of x of the first rectangular deck is 8.

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Answer:

I believe the answer would be :

-14 - 7 = -21

Answer = -21

The value of f(5)  in the function are - 9 . Option B

A function can be defined as an expression, rule or law that shows the relationship between a dependent variable or independent variable.

Given the functions;

To determine the value f(5),  substitute the value of x as 5

x > 1 , so we use equation 2

From function (2)

f(5) = 1 - 2x

f(5)  = 1 - 2(5)

f(5) = 1 - 10

f(5)  = - 9

Thus, the value of f(5)  in the function are - 9 . Option B

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Answer:

y=mx+by=mx+bm=slope(x,y)=a point on the lineb=the y value of the y-interceptm=slope(x,y)=a point on the lineb=the y value of the y-intercept

Step-by-step explanation:

Answer: 13 (simplified)

Step-by-step explanation: 9 + 4= 13, minus 9  equals 4

Answer: Question: x-9=4

Step-by-step explanation: X is 13

Answer:

74

Step-by-step explanation:

Multiplication

37×2=74

Brackets

Addition

1/2+5=6

Subtraction

6-5=1

The whole question will read as 74x1

The answer will be 74

Answer: 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The range is the greatest number minus the number with the least value.

28 - 10 = 18

Answer:

the right answer is A

Step-by-step explanation:

the even number can be always divided by 1,2 and themselves

Height  is the vertical distance between two or more lines or surfaces (part features) that are in horizontal planes.

Horizontal plane can as well be described as the plane or surface  that can be seen as the one that is parallel to the surface of the earth,  , it should be noted that this  plane is usually at the  at an angle of zero degree hence  horizontal plane.

Therefore, the plane  is perpendicular to the horizontal plane , hence Height  is the vertical distance between two or more lines or surfaces (part features) that are in horizontal planes.

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The number of tickets sold during the 12 games is 83,100 tickets

The college stadium has 6,925 seats for the baseball games this season.

During the entire 12 baseball games, al the seats were filled up and tickets were sold out.

Therefore the number of tickets sold in the entire 12 games can be calculated by multiplying  6,925 by 12

= 6925 × 12

= 83,100

Hence 83,100 tickets were sold in the entire 12 games

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The number of fifteenths which are contained in 2/5 as required to be evaluated in the task content is; 6.

It follows from the task content that the number of fifteenths which are contained in 2/5 as required is to be computed.

Given;

2/5.

To find;

How many fifteenths?

Hence, the number of fifteenths in 2/5 as required can be evaluated as follows;

2/5 ÷ 1/15

= 2/5 × 15/1

Multiply the numerators and denominators accordingly;

= 30/5

= 6.

Ultimately, the number of fifteenths in 2/5 is; 6.

Therefore, The number of fifteenths which are contained in 2/5 as required to be evaluated in the task content is; 6.

This concept follows from the division of fractions as in arithmetic operations.

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Over the weekend she walked a total distance of (4 + 5/8) miles

We know that on Saturday she walked a total of (3 + 7/10) miles (so we need to work with mixed numbers), and on Sunday she walked 0.25 of that distance.

Then the  distance that she walked on Sunday is:

D = 0.25*(3 + 7/10) miles

We can rewrite: 0.25 = 1/4

replacing that:

D = (1/4)*(3 + 7/10) mi = (3/4 + 7/40) mi

   = (30/40 + 7/40)mi = (37/40)mi

Then the total distance that she walked over the weekend is:

d = (3 + 7/10) mi +  (37/40)mi

  = (120/40 + 28/40) mi + (37/40) mi

  = (185/40)mi = (160/40 + 25/40) mi = (4  + 5/8) mi

Over the weekend she walked a total distance of (4 + 5/8) miles

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Answer:

Below in bold.

Step-by-step explanation:

Slope = difference in y values / difference is x values

= (1 - (-3)) / (0 - (-1)

= 4 / 1

= 4.

The y-intercept is the y value when x = 0, so it is

= 1.

So, the equation is

y = 4x + 1.