how many different rectangles are there

Answer:

7

Step-by-step explanation:

Exponent law:

        [tex]\sf a^m * a^n = a^{m+n}\\\\\dfrac{a^m}{a^n}=a^{m-n}[/tex]

In exponents multiplication, when bases are same add the powers.

In exponents division, if bases are same subtract the powers.

[tex]\sf \dfrac{7^8*7^3*7^4}{7^9*7^5}=\dfrac{7^{8+3+4}}{7^{9+5}}[/tex]

                  [tex]\sf =\dfrac{7^{15}}{7^{14}}\\\\=7^{15-14}\\\\=7^1\\\\=7[/tex]

The height of the cone is 580.36 cm.

The curved surface area of the cone is given by,

[tex]A = \pi \sqrt{h^{2} +r^{2} }[/tex]

Squaring both sides, we get :

[tex]A^{2} =\pi ^{2} (h^{2} +r^{2} )[/tex]

Now, it is given that the height of the cone is h,

The area of the cone = 550 [tex]cm^{2}[/tex]

And the radius of the cone = 7cm,

Putting these values in the given formula, we get,

[tex]A^{2} =\pi ^{2} (h^{2} +r^{2} )[/tex]

[tex]550^{2} = \pi ^{2} * ( h^{2} +7^{2} )\\[/tex]

3,36,875 = [tex]h^{2}+49[/tex]

[tex]h^{2}[/tex] = 3,36,875 - 49 = 3,36,826

h = 580.36 cm

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The time it will takes for the rock to hit the ground (h=0)  given the height of 360 feet high is 3.53 seconds.

The concept that will be used in the calculation is the concept of height and time .

The formular for the  expression is given as  ℎ= 200 −16t^2

Then the height of the tower is been given as 360 feet high

ℎ= 200 −16t^2

then

t^2=200/16

t^2=12.5

t=3.53 seconds

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The equivalent expression using the distributive property is 6(7x + 2)

From the question, we have the following expression

42x + 12

Rewrite the given expression as follows

This is represented using

(42x + 12)

Factor out 2 from the expression

So, we have the following representation

42x + 12 = 2(21x + 6)

Factor out 3 from the expression

So, we have the following representation

42x + 12 = 2 * 3(7x + 2)

Evaluate the products

42x + 12 = 6(7x + 2)

The above represents the equivalent expression

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The probability that first card selected has a yellow bird and second card selected has a lion both with and without replacement is 1/40 and 1/38. respectively.

Probability is the likelihood of an event or more than one event occurring. It is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

Probability may also be described as the likelihood of an event occurring divided by the number of expected outcomes of the event. i.e.,

               P(A) = f / N

Where:

P(A) = Probability of an event (event A) occurring

f = Number of ways an event can occur (frequency)

N = Total number of outcomes possible

Here deck of 20 cards are given which implies total number of possible outcomes are 20. From these 20 cards 5 cards has lions and 5 cards has birds in which 2 are yellow and 3 are red.

Now two cards are selected randomly.

We have to find the probability that first card selected has a yellow bird and second card selected has a lion both probability that first card selected has a yellow bird and second card selected has a lion both with and without replacement.

Probability with replacement:

Probability that first card selected has a yellow bird = 2/20  ---(1)

Since replacement is allowed so the probability that second card selected has a lion = 5/20---(2)

So, the probability that first card selected has a yellow bird and second card selected has a lion with replacement = (1) * (2) = 2/20 * 5/20 = 1/40.

Probability without replacement:

Probability that first card selected has a yellow bird = 2/20  ---(3)

And since replacement is not allowed, the probability that second card selected has a lion = 5/19---(4)

So, the probability that first card selected has a yellow bird and second card selected has a lion without replacement = (3) * (4) = 2/20 * 5/19 = 1/38.

Therefore, the probability with and without replacement is 1/40 and 1/38. respectively.

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Answer:

8.0 × 10^-3 ÷ 4.0 × 10^4

= 2.0 × 10^-3-4

= 2.0 × 10^-7

or 0.0000002

Answer:

-1/5

Step-b-1/5y-step explanation:

The rule for a perpendicular slope of a line is -1/s

In this case, we find the slope of the line first.
5x - y = -7
-y = -5x - 7
y = 5x + 7

The slope is 5, so -1/(5) is the slope of the perpendicular line.

Answer:   A and D

Step-by-step explanation:   40 x 25,000 = 1,000,000

Answer: A and C

Step-by-step explanation:
Because 40x25000 equals 1 million

Answer:

7

Step-by-step explanation:

15-8

The solution when Kaitlyn has at least five purses using signs and number is N ≥ 5

Equations and inequalities are both mathematical sentences formed by relating two expressions to each other.

When two expressions are equal, we use the equal sign ( = ). But when we are trying to compare two values or expressions, we use the inequality signs like greater than (>), less than (<), greater than or equal to ( ≥ ) and less than or equal to (≤)  

Given that: Kaitlyn has at least five purses

In order to solve this problem with signs and number, you will make use of the inequality that explains the situation:

Let the number of purses be N

Kaitlyn having at least five purses means she has 5 purses or more. Using inequality, the number of purses is greater than or equal to 5. Thus:

N ≥ 5

Therefore, the solution using signs and number is N ≥ 5

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Answer:

On a number line, 1/6 would land in the exact middle between 0 and 2/6

Step-by-step explanation:

Not too sure what your question meant, but I hope my answer helped!

If it wasn't what you were looking for, please let me know and elaborate on your question and I'll be happy to help out! :)

Answer:

24.359

Step-by-step explanation:

The height is opposite of the 77 so we are using sin. The length of the ladder is the hypotenuse.

sin(77°)=height/25     Set up equation sin=height/hypotenuse

25*sin(77°)=height     Multiply both sides by 25

25*.96437=height

height=24.359

Answer:

9514 1404 393

Answer:

 $67,200

Step-by-step explanation:

The amount if interest is given by the formula ...

I = Prt

where P is the amount invested, r is the annual rate, and t is the number of years. Here, we want to find P when r = 0.05 and t = 1/2 such that I = 1680.

 P = I/(rt) = $1680/(0.05·0.5) = $1680/0.025

 P = $67,200

The amount invested was $67,200.

Step-by-step explanation:

Answer:

21st 22nd are equal so ×=0

Answer:

Soultion\left(x^2+\frac{7}{3}x-\frac{17}{3}\right)=3\left(x^2+\frac{7}{3}x+\frac{49}{36}-\frac{49}{36}-\frac{17}{3}\right)\quad :\quad x=-\frac{7+\sqrt{253}}{6},\:x=\frac{\sqrt{253}-7}{6} steps \left(x^2+\frac{7}{3}x-\frac{17}{3}\right)=3\left(x^2+\frac{7}{3}x+\frac{49}{36}-\frac{49}{36}-\frac{17}{3}\right) simplify -2x^2-\frac{14x}{3}+\frac{34}{3}=0.

Step-by-step explanation:

I got you my boy.

The Amount of money that she received at the end of the read is $4024, the relationship between the number of years Ira has his money invested and the balance in any year differs by $24 which is the simple interest.

Amount invested by Ira = P = $4000

The rate of Interest (r) = 0.6 %

Time period (t) = 1 year.

The simple interest is given by,

[tex]S.I. = \frac{P*r*t}{100}[/tex]

Now, putting the values in the formula, we get:

[tex]S.I. = \frac{4000*0.6*1}{100} =24[/tex]

Hence, the simple interest will be $24

Now, the Amount/balance that she received in the year is A = P +S.I

A = P+S.I.

A = 4000 +24 = $4024

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Answer:

The relationship is linear. His account increases each year by a constant value of $24.

Step-by-step explanation:

took the test

Answer:-5/1

Step-by-step explanation:

down 5 and over 1

to get the slope, find a spot on the graph and then go 1 to the right and read how much the graph went up or down.
on 5) you see it did neither, so m=0
when the graph goes up, m is positive, when it goes down, m is negative.
so on graph 1, you have 2 dots.
you go 2 right, and 4 down. when the dots are not 1 apart (counting going right)  then divide by the steps you went right.
4 divided by 2 is 2.
-> graph went down, slope for 1) is m = -2

graph 2) you go 2 right and 2 up, 2/2 = 1. you went up, so m is positive and m = 1 for this graph.

3) is undefined because it doesn't go anywhere when you go right, it's 100% vertical

4) m = -5 because you went 1 right and 5 down

5) you go 6 right between the dots and 4 down. m is negative because it went down, not up. so m = -(4/6)

Answer:

The two points used to find the slope:

[tex]x_1,y_1[/tex]: 2,30

[tex]y_1,y_2:[/tex] 4,10

Final equation: y = -10x + 50

Step-by-step explanation:

From a fellow 8th grader <3

First, let's review the slope of a line: y = mx + b

Where m is the slope, and b the y-intercept

Let's find the slope. To do this I will select 2 points from this graph, and using the slope formula I will calculate it

Slope formula: [tex]\frac{rise}{run} =\frac{change- in- y}{change-in-x} =\frac{y^2-y^1}{x^2-x^1}[/tex]

To get the most accurate answer, I will be using the 2 points given that are directly on the line:

1 = (2, 30)

2 = (4, 10)

Slope: [tex]\frac{10-30}{4-2} =\frac{-20}{2} =-10[/tex]

m = -10

It makes sense that it is a negative, since the graph continues downwards.

Let's update our equation: y = -10x + b

We can see that the line intersects the y-axis at y = 50

Plug this into our b-value:

y = -10x + 50

Now, I would recommend using a graphing calculator (like a TI-83) or an online one (like desmos) to double check this. I have attached a screenshot of this line on desmos. From there we can see if this line matches up with the one seen on your graph.

Our answer is:

The two points used to find the slope:

[tex]x_1,y_1[/tex]: 2,30

[tex]y_1,y_2:[/tex] 4,10

Final equation: y = -10x + 50

Please let me know if this helped you, and if this was the correct answer! If it is incorrect I will do my best to revise my answer.

Answer: y intercept is (0,50) and Slope is -10.

Final equation is y= -10x+50

Step-by-step explanation:

Y-intercept is at what point the line intercepts the y-axis. It intersects at (0,50) coordinate point as you can see.

Slope is change in y divided by the change in x. When you change x by 1, y changes by -10. So it is -10/1 = -10. Slope is -10.

Since we know y intercept and slope equation is y=-10x+50

Answer: -2.55

Step-by-step explanation:

Answer:

-2.55

Step-by-step explanation:

-1.25 + 2 1/5 + (-3.5) =

= -1.25 + 2.2 - 3.5

= 0.95 - 3.5

= -2.55

Answer:

B, C, E

Step-by-step explanation:

B is correct because it is written to the side and also because of the Definition of midpoint.

C is correct because HL and KI H and I are congruent just like L and K because of alternate interior angles.

E is correct because of the verticle angle theorum.

Answer:

I am going sujshsbeba170

The sales revenue necessary to generate net income of $100,000 is: $416,667.

Using this formula to find the sales revenue

Sales revenue = Sales revenue + (Sales revenue × Net income / Fixed costs)

Let plug in the formula

Sales revenue =  $250,000 + ($250,000 × $100,000 /$150,000)

Sales revenue = $250,000 + ($250,000 ×0.6666666)

Sales revenue = $250,000 + $166,666.65

Sales revenue = $416,666.65

Sales revenue = $416,667 (Approximately)

Therefore the correct option  is E.

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Answer:

coordinates of A are (-4.5, 2)

coordinates of B are (0, -3.5)

Answer:

(x+1)(x-1)

Step-by-step explanation:

The solutions 1 and - 1 is given when

x = 1 or x = - 1

hence; (x - 1) = 0 or (x + 1) = 0

(x - 1)(x + 1) = 0

x² -1 = 0

Mark as brainliest answer please. Thanks

Answer:

A) 0.5

B) 10

Step-by-step explanation:

A) First, you need to Combine Like Terms on the right side of the =

98-248 = -150

Now, you need to Isolate the variable by getting rid of the -178. What you do to one side, you must do the the other.

56a-178(+178) = -150(+178)

56a = 28

Finally, you must remove that 56 on the a. Since it stands for 56 x a, you must do the same you did with the -178 except with Division.

56a/56 = 28/56

a = 0.5

B) Combine Like terms

640+70 = 710

Isolate the variable

710(-20) = 69y+20(=20)

690 = 69y

Remove the 69 with division

690/69 = 69y/69

10 = y

Answer:

900212356

Step-by-step explanation:

Answer: [tex]\frac{0}{24}[/tex]

Step-by-step explanation:

The slope is [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}}[/tex], or reverse: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

If we substitute, we get that [tex]\frac{2-2}{6-(-18)}[/tex].

Simplify to get [tex]\frac{0}{24}[/tex].

Answer:

28

Step-by-step explanation:

4,8,12,16,20,24,28. +4 every time