Identify the exponent in the following number: 2^5
A. 2
B. 5
C. 16
D. 32

Answer:

1). Length of diagonals = 52

2). m∠KON = 103°, m∠KMN = 45°

Step-by-step explanation:

KLMN is a rectangle.

Diagonals KM and LN intersect at point O.

1). Since, diagonals of the rectangle equally bisect each other.

   KM = 2(KO)

   KM = 2(4y + 6)

   And LN = 2(ON)

   LN = 2(3y + 11)

   Since, length of diagonals of a rectangle are equal in measure.

   2(4y + 6) = 2(3y + 11)

   4y + 6 = 3y + 11

   4y - 3y = 11 - 6

   y = 5

   Therefore, length of diagonals = 2(3y + 11)

                                                       = 2(15 + 11)

                                                       = 52 units

2). m∠NKM = 32°

    Since, m∠KNM = 90° [internal angle of a rectangle]

    And diagonal LN bisects this angle,

    m∠KNO = 45°

    In ΔKNO,

    m(∠NKM) + m(∠KNO) + m(KON) = 180°

    32° + 45° + m∠KON = 180°

    m∠KON = 180° - 77°

                   = 103°

    Since, m∠KMN = [tex]\frac{1}{2}[/tex](m∠LMN)

    m∠KMN = [tex]\frac{1}{2}(90)[/tex] = 45°

Answer:

Did u submit ur answer?

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

Hey!

Your answer is $118.75!

Step-by-step explanation: How did I get this?

STEP 1: So we know that for a ton of rock costs us $47.50...

To get 2 tons all we have to do is to MULTIPLY $47.50 by 2...

(47.50 x 2 = 95)

STEP 2: So for $95, you will get 2 tons of rock!

Now to get the .5 tons of rock in price form, we have to get the price of the whole 2.5 tons and DIVIDE BY 2

(47.50 ÷ 2 = 23.75)

STEP 3: So now we have the costs for 2 tons and the price for HALF a ton.

What we do now is easy...we ADD THE VALUES TOGTHER!

(95 + 23.75 = $118.75)

The result of $118.75 after adding them together is the PRICE OF 2 TONS!

I HOPE THIS HELPED YOU!

Answer:

$118.75

Step-by-step explanation:

Okay, we know a rock per ton is $47.50.

What we need to know is how much 2.5 tons cost.

So if we take our 2.5 tons and we multiply it with our $47.50, this is what it will look like:

($47.50 * 2.5) = $118.75

So 2.5 tons of rock costs $118.75

Have a great day! :)

Answer:

0.42857142857

Step-by-step explanation:

correct me if im wrong

5y-30=-5y+30

add 30 to both sides

5y = -5y+60

add 5y to both sides

10y = 60

divide both sides by 10

y = 6

hope this helps!

Answer:

8.950 kg

Step-by-step explanation:

Lemme know if incorrect

Answer:

x = 1

Step-by-step explanation:

Given

- 2x + 4 = 8x - 6 ( subtract 8x from both sides )

- 10x + 4 = - 6 ( subtract 4 from both sides )

- 10x = - 10 ( divide both sides by - 10 )

x = 1

Step-by-step explanation:

let x be the original.price

so x * 75/100= 14625

x=19500

so the price of car before it was reduced was 19500

The price of the car before it was reduced is £19500.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given that the price of the car with 25% price reduced is  £14625.

Now to find the price of the car before it was reduced,

for that we will find the price of car to 100 - 25 = 75 percentage.

Let P be the price of the car before it was reduced.

P × 75 / 100 = 14625

P = 14625 × 100 / 75

P = £19500

Therefore, the price of the car before it was reduced is £19500.

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Answer: Subtract 3 from both sides of the equation

simplify

divide both sides on the equation by the same term

simplify

your answer should be 4

Step-by-step explanation:

Answer: [tex]107^{5}[/tex]

There are 5 zeros left of the seven (7).

So, 5 is the exponent/base number.

Add a 5 as a base/exponent.

107[tex]5[/tex] should now be the answer.

Hope this answer helps you!

Answer:

1.07 × 10^7

Step-by-step explanation:

Hope This Helps!

Answer:

The range of f(x) is:

[tex]y\in\{-1,0,1\}[/tex]

Step-by-step explanation:

Domain and Range

Given a function y=f(x), the domain of f(x) is the set of values that x can take and the range of f(x) is the set of values that f gets when x is in the domain.

We have the function:

[tex]\displaystyle f(x) = \frac{1}{2} x-2[/tex]

And the domain is

[tex]x\in\{2,4,6\}[/tex]

Compute the range by assigning each value of x:

For x=2:

[tex]\displaystyle f(2) = \frac{1}{2} \cdot 2-2=1-2=-1[/tex]

[tex]\displaystyle f(2) = -1[/tex]

For x=4:

[tex]\displaystyle f(4) = \frac{1}{2} \cdot 4-2=2-2=0[/tex]

[tex]\displaystyle f(4) = 0[/tex]

For x=6:

[tex]\displaystyle f(6) = \frac{1}{2} \cdot 6-2=3-2=1[/tex]

[tex]\displaystyle f(6) = 1[/tex]

The range of f(x) is:

[tex]y\in\{-1,0,1\}[/tex]

Answer:

c

Step-by-step explanation:

Answer:

m≤1

Step-by-step explanation:

Move the variable to the left,

m-5m≥-4

Collect like terms so you would have,

-4m≥-4

Then divide and switch the sign because you divided,

m≤1

Answer:

HCF = 90

Step-by-Step explanation:

2 × 3⁴× 5 = 810

2³× 3²× 5²= 1800

Find the prime factorization of 810

810 = 2 × 3 × 3 × 3 × 3 × 5

Find the prime factorization of 1800

1800 = 2 × 2 × 2 × 3 × 3 × 5 × 5

To find the HCF, multiply all the prime factors common to both numbers:

Therefore, HCF = 2 × 3 × 3 × 5

HCF = 90

Answer:

The answer is C. $0.50 per day .

Hope this helps

Option C is correct, $0.50 per day is the unit rate for the cost of an overdue book at this library.

The unit rate is the cost per one unit of a given quantity.

In this case, it's the cost of an overdue book per day.

In the given graph models the late fee for overdue books, you can find the unit rate by identifying two points on the graph and calculating the slope between those points.

Suppose you have two points on the graph: (x₁, y₁) and (x₂, y₂), where x represents the number of days the book is overdue, and y represents the corresponding late fee in dollars.

The formula for calculating the slope (m) between two points is:

m = (y₂ - y₁) / (x₂ - x₁)

Let us take two points from graph: (4, 2) and (6, 3)

Unit rate = 3-2/6-4

=1/2

=0.5

Hence, $0.50 is the unit rate for the cost of an overdue book at this library. Option C is correct.

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I’d say option 4

However, one may think option 3 might be possible as well. But that it is not interacting, it’s affecting.

So I’d stick with option 4.

Good luck!

Answer:

393

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the complement = x

Let the angle = 5*x

x + 5x = 90

6x = 90

x = 90/6

x = 15

So the complement = 15

The angle itself is 5*15 = 75

Answer:

h=2Ab

Step-by-step explanation:

if you divide b on both sides you get Ab=1/2h

Then you would divide by 1/2 which is the same as multiplying by 2 which gives you the final answer of h=2Ab

Answer:

The cost of a can of popcorn is $10.

The cost of a box of cookies is $5.

The cost of a can of popcorn is $20

Step-by-step explanation:

First you must propose a system of equations, a set of two or more equations with several unknowns in which you want to find the value of each unknown so that all the equations of the system are fulfilled.

Defining the variables:

Amy sold 2 pounds of candy, 3 boxes of cookies and 1 can of popcorn for a total sale of $65. Then:

2*x + 3*y + 1*z=65 Equation 1

Brian sold 4 pounds of candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of $140. So:

4*x + 6*y + 3*z=140 Equation 2

Paulina sold 8 pounds of candy, 8 boxes of cookies and 5 cans of popcorn for a total sales of $250. Then:

8*x + 8*y + 5*z=250 Equation 3

Then the system of equations is formed by these three equations.

A method to solve a system of equations is by means of the substitution method, which consists of isolating one of the two unknowns in an equation to substitute it in the other equation.

Isolating z from Equation 1:

[tex]z=65-2*x-3*y[/tex] Equation 4

Replacing in Equation 2:

4*x + 6*y + 3*(65 -2*x-3*y)=140

4*x + 6*y + 195 - 6*x  - 9*y= 140

-2*x - 3*y=140-195

-2*x - 3*y=-55

2*x + 3*y= 55

and isolating x:

[tex]x=\frac{55-3*y}{2}[/tex] Equation 5

Replacing in Equation 4:

[tex]z=65-2*\frac{55-3*y}{2} -3*y[/tex]

z=65 - (55-3*y) - 3*y

z= 65 -55 + 3*y - 3*y

z= 10

So the cost of a can of popcorn is $10.

Replacing equation 5 and the value of z in equation 3:

8*[tex]\frac{55-3*y}{2}[/tex] + 8*y + 5*10=250

[tex]\frac{8}{2}[/tex]*(55 -3*y)+ 8*y + 5*10=250

4*(55 -3*y)+ 8*y + 5*10=250

4*55 - 4*3*y + 8*y + 50=250

220 - 12*y + 8*y + 50=250

-12*y + 8*y= 250 -220 - 50

-4*y= -20

[tex]y=\frac{-20}{-4}[/tex]

y= 5

So the cost of a box of cookies is $5.

Finally replacing the value of y in Equation 5 you get the value of x:

[tex]x=\frac{55-3*5}{2}[/tex]

[tex]x=\frac{55-15}{2}[/tex]

[tex]x=\frac{40}{2}[/tex]

x=20

Finally, the cost of a can of popcorn is $20

Step-by-step explanation:

I Hope it helps you . Hope it will

Answer:X=28

Step-by-step explanation:

first you combine the like terms wich are x and 5x also -6 and 18

second your equation will be 6x+12=180

Third you subtract 12 from each side

4th you divide each side by 6 to simplify the x

5th your anwse would be x =28

Answer: x=−1

Step-by-step explanation: hope this helps!

Answer:

Domain is x and range is y

Answer:

we should solve it or what should we do...

Answer:

B) 5/8

Step-by-step explanation:

1.25/2

0.625

5/8

6x+9-4x-6

2x+3

assuming you simplify, hope this helps!