This graph shows a proportional relationship between the amount of money in Kaitlyn's savings account and the number of days Kaitlyn has been saving money.
Kaitlyn's Savings
Account
Amount in
Savings ($)
2 3 4 5
Number of Days
Which statement identifies the correct slope, and the correct interpretation of the slope for this situation?
The slope of the line is so, so Kaitlyn's savings rate is $1 dollar every 60 days.
®
The slope of the line is
so Kaitlyn's savings rate is $60 dollars every day.
©
The slope of the line is
so Kaitlyn's savings rate is $60 dollars every day.
The slope of the line is so, so Kaitlyn's savings rate is $1 dollar every 60 days.

Final answer:

To find out how many one-inch cubes are on a single edge of the larger cube formed by stacking 216 cubes, take the cube root of 216, which is 6. Therefore, each edge has 6 one-inch cubes.

Explanation:

If there are 216 one-inch cubes stacked to form a larger cube, we need to determine how many cubes are along each edge of this larger cube. The volume of a cube is calculated as length × width × height, and since all sides of a cube are equal, we can say that the length, width, and height are all the same. Therefore, to find the length of one side, we take the cube root of the volume. The cube root of 216 is 6, meaning each edge of the larger cube is composed of 6 one-inch cubes.

Answer:

3 , 4 , 1

Step-by-step explanation:

The interval 44-47 has a frequency of  3

The interval 48-51 has a frequency of  4

The interval 56-59 has a frequency of  1

got it right on edge

Answer:

The interval 44-47 has a frequency of  3

The interval 48-51 has a frequency of  4

The interval 56-59 has a frequency of  1

Step-by-step explanation:

3

4

1

Answer:

Perimeter = sum of length of all sides = 8 + 3 + 10 + 11 = 32

Area = (base1 + base2) x height/2 = (3 + 11) x 7/2 = 49

Hope this helps!

:)

Answer:

All squares are rectangles. Rectangles have 4 right angles. Therefore, all squares have 4 right angles.

Step-by-step explanation:

The old math saying: "Every square is a rectangle, but not all rectangles are squares."

What makes a rectangle a rectangle is that it has four right angles.

A square also has four right angles. Therefore, a square is a type of rectangle.

A rectangle does not have equal lengths on all four sides like a square does.

A square MUST have four right angles for it to be a square.

Brainiliest Appreciated.

Question:

A. 1) Only some squares are rectangles. 2) Rectangles have 4 right angles. 3) Therefore, only some squares have 4 right angles.

B. 1) Only some squares are rectangles. 2) Rectangles have 4 sides that are the same length. 3) Therefore, only some squares have 4 sides that are the same length.

C. 1) All squares are rectangles. 2) Rectangles have 4 sides that are the same length. 3) Therefore, all squares have 4 sides that are the same length.

D. 1) All squares are rectangles. 2) Rectangles have 4 right angles. 3)Therefore, all squares have 4 right angles.

Answer:

All squares are rectangles. Rectangles have 4 right angles. Therefore, all squares have 4 right angles.

Step-by-step explanation:

Let's go by process of elimination. Starting with A.

A. 1) Only some squares are rectangles. 2) Rectangles have 4 right angles. 3) Therefore, only some squares have 4 right angles.

You can already tell that it's incorrect just looking at sentence 1). All squares are rectangles because a rectangle is:

1. Quadrilateral.

2. Two pairs of parallel sides.

3. Four right angles.

Sentence 2) is correct because Rectangles have 4 right angles. But sentence 3) is incorrect because all squares have 4 right angles.

Down to B.

B. 1) Only some squares are rectangles. 2) Rectangles have 4 sides that are the same length. 3) Therefore, only some squares have 4 sides that are the same length.

Same thing in the first sentence as A . Sentence 1) is incorrect since all squares are rectangles. Sentence 2) is also incorrect because Rectangles do not have the same lengths on all four sides. Only two sides are the same in length. The sides that are the same are the two  sides across from each other. Sentence 3) is also incorrect since all squares have 4 sides that are the same length.

Moving down again to C.

C. 1) All squares are rectangles. 2) Rectangles have 4 sides that are the same length. 3) Therefore, all squares have 4 sides that are the same length.

Sentence 1) is correct. All squares are rectangles. Sentence 2) is incorrect because not all sides are the same length. Sentence 3) is correct because all squares have 4 sides that are the same length.

Down to D. (The correct answer.)

D. 1) All squares are rectangles. 2) Rectangles have 4 right angles. 3)Therefore, all squares have 4 right angles.

Sentence 1) is correct because all squares are in fact, rectangles. here is a fact about squares:

"A square is a quadrilateral with all four angles, right angles, and all four sides of the same length. So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles."

Sentence 2) is also correct because all rectangles have four right angles. Here are some more facts about rectangles:

"All rectangles are parallelograms, but all parallelograms are not rectangles.

The diagonals of a rectangle divide the rectangle into four triangles.

Every square is a rectangle, but every rectangle is not a square."

Sentence 3) is correct. All squares have 4 right angles. Therefore, Option D. would be your correct answer.

Answer:

Divide each side of 18/4 by 2 to get 9/2.

Answer:

184/10

Step-by-step explanation:

You have to delete the comma (,) so, by doing ×10 you have 18,4 -> 184. By doing ÷10 you have a fraction: 184/10 that is equal to 18.4

Answer:

if you need the circumferance of a circle with a radious of 5, then it should be 31.42.

Step-by-step explanation:

Answer:

25pi or 78.5 units^2

Step-by-step explanation:

A = pi r^2

A = 25pi or 78.5

Answer:

 2xy • (x - 2y2)

Step-by-step explanation:

STEP 1

:

Equation at the end of step 1

 ((2 • (x2)) • y) -  22xy3

STEP 2

Equation at the end of step

 (2x2 • y) -  22xy3

STEP 3

STEP 4

:

Pulling out like terms

4.1     Pull out like factors :

  2x2y - 4xy3  =   2xy • (x - 2y2)  

Trying to factor as a Difference of Squares:

4.2      Factoring:  x - 2y2  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 2 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Answer:

3.12

Step-by-step explanation:

Answer:

The number of years it will take for Yasemin's account balance to reach $1500 is 13.52 years.

Step-by-step explanation:

Where the model of the relationship between the time, t, in years, since the account was first opened and the and the balance in Yasemin's account is presented as follows;

[tex]B(t) = 1000 \times e^{(0.03 \times t)}[/tex]

To find find out how many years it will take for Yasemin's account balance to reach $1500, we substitute B(t) = $1500 since we are told that after the years his account balance became $1500 as follows;

[tex]\$ 1500 = 1000 \times e^{(0.03 \times t)}[/tex]

We now solve for t

[tex]\$ 1500 = 1000 \times e^{(0.03 \times t)}\\\\\frac{1500 }{1000 } = e^{(0.03 \times t)}\\1.5 = e^{(0.03 \times t)}\\\\ln(1.5) = ln (e^{(0.03 \times t)})\\\\ln(1.5) = (0.03 \times t) \times ln (e)\\\\\therefore ln(1.5) = (0.03 \times t) \\\\t = \frac{ln(1.5)}{0.03 } = 13.52 \ years[/tex]

The number of years it will take for Yasemin's account balance to reach $1500 = 13.52 years.

Answer:

1

Step-by-step explanation:

gradient = (8-(-4)) / (5-(-7)) = 12 / 12 = 1

Answer:

1

Step-by-step explanation:

(-7,-4)

x1 y1

(5,8)

x2 y2

8-(-4)/5-(-7) = 12/12 = 1

Answer:

A percentage is defined as the ratio of two numbers times 100.

Answer:Example: 1 divided by 2 is 0.5 or 50%. An interest rate is expressed as a percentage or as a point. ... A percentage is defined a the ratio of 2 numbers times 100 (percent is Latin for per one hundred). Example: 1 divided by 2 is 0.5 or 50%.

Step-by-step explanation:

Answer:

6in²

Step-by-step explanation:

the problem says the two triangular prisms are congruent.

the first triangle's volume is 90in³ and the height of the second triangular prism is 15. we use the formula fro the volume of the shape:

V=B * h

we substitute the values we know:

90in³=B*15

90/15 = B

6in²= B

So the area of the base is 6in²

Hope this helps :)

Answer:

57

Step-by-step explanation:

If Trevor has 4 times more cards then Ming and Trevor has 228 cards you would divide 228 by 4 to get the number of cards ming has.

228 divided by 4 is 57

Answer:

[tex]a)5 \\ \: \: \: \: \: \: 8 \\ \: \: \: \: \: 11[/tex]

[tex]b)32[/tex]

Step-by-step explanation:

[tex]a)3n + 2 \\ 3 \times 1 + 2 = 5 \\ 3 \times 2 + 2 = 8 \\ 3 \times 3 + 2 = 11[/tex]

[tex]b)3n + 2 \\ 3 \times 10 + 2 = 32[/tex]

I'd appreciate if you rate my answer and give a thanks.

Answer:A

Step-by-step explanation:

The required profit function is defined for all s and t greater than or equal to zero. Option A is correct.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,

The profit function P=6t+10s represents the profit made by a company based on the number of units of two products: t units of product 1 and s units of product 2.

In general, the domain of the profit function depends on the specific context of the problem, but in the problem, we have no constraints so the domain of the profit function would be all real values for s and t greater than or equal to zero.  

Thus, the required profit function is defined for all s and t greater than or equal to zero. Option A is correct.

Learn more about function here:

brainly.com/question/21145944

#SPJ3

Answer:

C. 11:16 AM

Step-by-step explanation:

Subtract 42 minutes from 58, which is 16. To find out what hour, you subtract by 3. When you do subtract, the answer is 11 AM.

Hope this helps :)

Answer:

5/4

Step-by-step explanation:

Answer:

Area of rectangle box = 2,920 CM²

Step-by-step explanation:

Given:

Length = 42 Cm

Width = 20 Cm

Height = 10 Cm

Find:

Total area required to make box = ?

Computation:

Area of rectangle box = 2[LB + BH + HL]

Area of rectangle box = 2[(42 × 20) + (20 × 10) + (10 × 42)]

Area of rectangle box = 2[(840) + (200) + (420)]

Area of rectangle box = 2[1,460]

Area of rectangle box = 2,920 CM²

Answer:

3

Step-by-step explanation:

took the test :p

The radical evaluation should be 3.

We know that the cube of 3 is 27

basically in this, no square roots, cube roots should be simplified.

So based on this, the radical evaluation should be 3.

Therefore, we can conclude that The radical evaluation should be 3.

learn more about radical here: https://brainly.com/question/20206800

Answer:

Step-by-step explanation:

An ordered pair is a pair of coordinates on a graph that satisfy a particular equation.

From our question, the given equation is

 4x + 5y = 2017

         5y = 2017 -  4x

           y  = (2017 - 4x) / 5

but (x,y) are positive integers meaning that x and y > 0

when x = 1, y = (2017 - 4) /5

                  y = 2013/5

                     =402.6

Hence (x.y) = (1. 402.6) which is not a solution to the equation

when x = 2 , y = (2017 -8) /5

                    y  = 2009/ 5 =  401.8

              (x,y)    = (2, 401.8) which is not a solution to the equation

when x = 3 , y = (2017 - 12)/ 5

                     y = 2005/5 = 401

                (x, y) = (3, 401) which is a solution to the equation

when x =5 , y = (2017 - 20) / 5

                   y = 1997/5 = 399.4

               (x,y) = (5, 399.4) which is not a solution to the equation

Answer:

6^-3

Step-by-step explanation:

6^-5 * 6^2

6 * 6 = 6^(-5 +2)

6^-3

I thing I may be wrong

Answer:

A. & F.

Step-by-step explanation:

Answer:

A. & F.

Step-by-step explanation:

Step-by-step explanation:

Step 1:  Add 5 to both sides

[tex]\frac{x}{12}-5+5=7+5[/tex]

[tex]\frac{x}{12}=12*12[/tex]

[tex]x=144[/tex]

Answer:  Option B, x = 144

The multiplicative rate of change of the function is (b) 3/4

The table entries are given as:

x  y

1 3/2

2 9/8

3 27/32

4 81/128

From the above table, we have:

y1 = 3/2

y2 = 9/8

Divide y2 by y1 to get the multiplicative rate of change (r)

[tex]r = 9/8 \div 3/2[/tex]

Evaluate the quotient

r = 3/4

Hence, the multiplicative rate of change of the function is (b) 3/4

Read more about exponential functions at:

https://brainly.com/question/11464095

Answer:

C

Step-by-step explanation:

We want a line of best fit, which means we want to create a line that the data points will lie closest to.

One thing we can do is find the slope between the bottom-leftmost point and the top-rightmost point. This is because if we were to draw a line connecting these two, it will cut through the data quite well.

Those two points are (9, 15) and (16, 18), so the slope is change in y divided by the change in x:

(18 - 15) ÷ (16 - 9) = 3 ÷ 7 ≈ 0.4

Eliminate A and B.

Now we need to determine the y-intercept. This needs no calculations; simply look at the graph: there's no way a line cutting through the y-intercept point of (0, 18) will perfectly match the data points; instead it must be a y-intercept lower than 18. So, eliminate D.

The answer is C.

Answer:

C

Step-by-step explanation:

The slope of the line of best fit should be around:

(18-15)/(16-10) = 0.5

And

The y-intercept would be less than 15

Therefore, option C is the most suitable option

Answer:

Each side of the octagon a length of 6 cm

Step-by-step explanation:

Divide the perimeter by the amount of sides the shape has.

48 ÷ 8 = 6

Answer:

B

Step-by-step explanation:

To what power do you have to raise 6 to get 6?

As in: 6^? = 6

6^1 = 6, so the answer is 1

hope this helps :)

Answer:

7a) 6X + 24

7b) 4X + 17

8) $142

Step-by-step explanation:

7a) you first combine the variables / letters. Then the numbers

1. 4x + 2x = 6x

2. 29 - 5 = 24

6x + 24

7b) you first combine the variables / letters. Then the numbers

1. x + 3x = 4x

2. 10 + 14 - 7 = 17

4x + 17

8) I did 12a + 8b + 6b

1. plug in your numbers into the variables / letters  12( 6 ) + 8 ( 5 ) + 6 ( 5 ) = ?

2. Then do the individual numbers 72 + 40 + 30 = ?

3. Then you can combine them all 142