Which is the best estimate of the difference between 6 7/8 and 2 1/8?
A. 1
B. 3
C. 5
D. 8

Step-by-step explanation:

Let x = m² and y = 4n.

Then m⁶ - 64n³ = x³ - y³

= (x - y)(x² + xy + y²)

= (m² - 4n)(m⁴ + 4m²n + 16n²).

Answer: tan(F)

Step-by-step explanation:

Answer: C). tan(F)

Step-by-step explanation:

Answer:

1961

Step-by-step explanation:

The greatest value of OFF can be achieved by making the hundreds places the greatest, followed by the tens, and then the ones.

S=9

A=8

U=7

T=6

N=5

986+975=1961

Answer:

955

Step-by-step explanation:

OFF = 955

hope this helps:)

Answer:

Step-by-step explanation:

They are both sine functions. The blue one is multiplied by 2 and shifted down one.

blue:  y = 2 * sin(theta) - 1

green: y = sin(theta)

I'm not sure what the answers mean.

The triangles are the same

CA= 8.5

AT=5

DG=12

T=70

O=57

C=53

Step-by-step explanation:

This can be a little brain bending but try to imagine rotating ∆DOG to the left once. The bottom side is now OGD. Now, the triangles will look similar. Here is the rule:

The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent. An included angle is an angle formed by two given sides.

so, side CA is equal to side DO. Side CT is equal to side DG, and side AT is equal to side OG. The answers to the first column are:

CA=8.5m

AT=5m

DG=12m

Now, because the sides are equal, the angles are equal:

>T is the same as >G. =70°

>A is the same as>O = 57°

The angles of a triangle have to add up to 180°, so

70° + 57° = 127°

180°- 127° = 53°

So, angles D and C equal 53°.

How this helps.

Answer:

The answer is A

Step-by-step explanation:

Use the form y = mx + b for your answer.  Since 32 is the starting point, it will represent b.  b represents the y intercept.  Since the temperature decreases every hour, the second part of the equation would -2h.  So, if you put it together, the final equation is y = -2h + 32.

Answer:

cost of ice cream cones = $1.75

cost of ice cream sandwiches = $2.25

Step-by-step explanation:

Let

x = cost of ice cream cones

y = cost of ice cream sandwiches

3x + 4y = 14.25 (1)

5x + 2y = 13.25 (2)

Multiply (2) by 2

10x + 4y = 26.50 (3)

3x + 4y = 14.25 (1)

Subtract (1) from (3)

10x - 3x = 26.50 - 14.25

7x = 12.25

x = 12.25/7

x = $1.75

Substitute x = 1.75 into (1)

3x + 4y = 14.25

3(1.75) + 4y = 14.25

5.25 + 4y = 14.25

4y = 14.25 - 5.25

4y = 9

y = 9/4

y = $2.25

Answer:

cost of ice cream cones = $1.75

cost of ice cream sandwiches = $2.25

Step-by-step explanation:

Let

x = cost of ice cream cones

y = cost of ice cream sandwiches

3x + 4y = 14.25 (1)

5x + 2y = 13.25 (2)

Multiply (2) by 2

10x + 4y = 26.50 (3)

3x + 4y = 14.25 (1)

Subtract (1) from (3)

10x - 3x = 26.50 - 14.25

7x = 12.25

x = 12.25/7

x = $1.75

Substitute x = 1.75 into (1)

3x + 4y = 14.25

3(1.75) + 4y = 14.25

5.25 + 4y = 14.25

4y = 14.25 - 5.25

4y = 9

y = 9/4

y = $2.25

Answer:

(2,-2)

I hope this helps:

Find the slope: change in y over change in x:

Slope = 30 - -5/ 6- -1 = 35/7 = 5

Find y intercept (the y value when x is 0)

Y = 5(0) = 0

There is no y intercept

The function rule would be:

Y = 5x

Answer:

4.04 oz per cup

Step-by-step explanation:

sry fam im not gonna give a step by step explanation cuz im in a rush, hope this is enough gl.

Answer:

ehh....130 is your answer alr bye

the answer to your question is 130

Answer:

The rate of change for the given function is 6.

Step-by-step explanation:

Given function is:

[tex]y = x^2+3x-2[/tex]

The interval on which we have to find the rate of change is:

1≤x≤2

Here

a = 1

b = 2

We have to find the values of function on both points

Putting 1 in place of input (x)

[tex]y_a= (1)^2+3(1)-2\\= 1+3-2\\=2[/tex]

Putting x = 2

[tex]y_b = (2)^2+3(2)-2\\= 4+6-2\\=8[/tex]

The rate of change is calculated by using the following formula

[tex]Rate\ of\ change = \frac{y_b-y_a}{b-a}\\=\frac{8-2}{2-1}\\= \frac{6}{1}\\=6[/tex]

Hence,

The rate of change for the given function is 6.

Answer:

[tex]3 \frac{1}{3}[/tex]

Hope this helps.

Step-by-step explanation:

Answer:

a) 100,  b) 1000

Step-by-step explanation:

First Answer:

5.2/x = 0.052

x = 5.2/0.052

x = 100

Second Answer:

7650/x = 7.65

x = 7650/7.65

x = 1000

Answer:

A). 100

B). 1000

Step-by-step explanation:

YOU CAN SEE EXPLANATION IN IMAGES.

HOPE THIS HELPS YOU...

Answer:

1/2 a mile is 6 minutes making 1 mile 12 minutes

12*3 = 36 minutes

it would take Amal 36 minutes to run 3 miles

Step-by-step explanation:

i hope this helps :)

Step-by-step explanation:

jjebdnnddmldkxdnnsksms

Answer:

1/3x - 2y - 5x + 8

Step-by-step explanation:

Given:

1/3x - 2y - 5x + 8

1. There are four (4) terms in the expression: 1/3x, -2y, -5x, 8

2. Like terms are terms which have the same thing in common such as 1/3x, -5x in the expression

3. A constant is a term without a variable. 8 is the constant in the expression

4. The variables in the expression are: x and y

5. The coefficients are; 1/3, -2, and -5

Answer:

1st question: y=1/3x-1

2nd question: y=-2/3x+9

Step-by-step explanation:

Y=mx+b form is what you are using

when a line in parallel to a line they have the same slop wich is m

when a line in perpendicular they have the opposite reciprocal

Examples: 2/5 opposite reciprocal would be -5/2

Answer:

D

Step-by-step explanation:

3x + 2(x + 1) = 12 ← distribute and simplify left side

3x + 2x + 2 = 12

5x + 2 = 12 ( subtract 2 from both sides )

5x = 10 ( divide both sides by 5 )

x = 2 → D

d .2

d will be the answer

by simplify

Answer:

2

Step-by-step explanation:

Answer:

2, D

Step-by-step explanation:

Not only is it not in a line it doesn't hit any points(it curves)

Step-by-step explanation:

What is X+Y?

First note that if x + y = xy then neither x nor y can be equal to 1.

That being said, as a previous user already noted y = x/(x-1) and hence x - y = x - x(x-1) = x(x-2)/(x-1). Assume x - y = D. Then your question becomes what can D be so that the equation x(x-2)/(x-1) = D has a solution different than 1.

Rewrite this equation as x(x-2) = D(x-1) and note that x(x-2) = (x-1)^2 - 1. Replace x - 1 with z. So your question is what can D be so that the equation z^2 - 1 = Dz has a nonzero solution? Given that 0 cannot be a solution anyway of the previous equation. The question is really, for which D does the quadratic equation z^2 - Dz - 1 = 0 have solutions? By elementary 9th grade math, this equation has a solution when its discriminant D^2 + 4 is nonnegative. But D^2 + 4 is strictly positive regardless of the value of D. Hence D can be anything.

How to solve your question

Your question is

(+)−7+8

Simplify

1. Eliminate redundant parentheses

(+)−7+8

+−7+82

Add the numbers

+−7+8

++1

Solution

++1

Answer:

6.4%

Step-by-step explanation:

We solve this question in using the population growth rate formula

P(t) = Po(1 + r)^t

P(t) = Population after t years = 28 ft

Po = Initial Population = 20 1/2 feet or 20.5 feet

r = Growth rate = ?

t = Time in years = 5

Hence:

28 = 20.5 (1 + r)⁵

Divide both side by 20.5

28/20.5 = 20.5 (1 + r)⁵/20.5

1.3658536585 = (1 + r)⁵

5th root both sides.

5√(1.3658536585) = 5√(1 + r)⁵

1.0643411027 = 1 + r

r = 1.0643411027 - 1

r = 0.0643411027

Converting to percentage

r = 0.0643411027 × 100

r = 6.43411027%

Approximately = 6.4%

The yearly growth rate of the apple tree = 6.4%

Answer:

120

Step-by-step explanation:

Answer:

[tex]Probability = 0.2975[/tex]

Step-by-step explanation:

Giving:

Swimming

[tex]P(Win[Swim])= 65\%[/tex]

Running

[tex]P(Win[Run])= 85\%[/tex]

Required

Determine the probability of winning at running and losing at swimming

First, we calculate the probability of losing at swimming using

[tex]P(Win) + P(Lose) = 1[/tex]

Substitute 65% for P(Win)

[tex]65\% + P(Lose[Swim]) = 1[/tex]

Collect Like Terms

[tex]P(Lose[Swim]) = 1 - 65\%[/tex]

[tex]P(Lose[Swim]) = 35\%[/tex]

The required probability is then calculated using:

[tex]Probability = P(Win[Run]) * P(Lose[Swim])[/tex]

[tex]Probability = 85\% * 35\%[/tex]

Convert to decimal

[tex]Probability = 0.85 * 0.35[/tex]

[tex]Probability = 0.2975[/tex]

Answer:

Tax amount = $15.00 x 0.06 =0.9

Total amount of the basketball = $15.00 x 1.06 = $15.90

Answer:

Tax amount = $15.00 x 0.06 =0.9Total amount of the basketball = $15.00 x 1.06 = $15.90

Step-by-step explanation: