Joe ran 1 1/4 laps in 2 minutes. How many laps did Joe run on average per minute?

A trapezoid consists of two triangles.

A trapezoid does indeed contain two triangles within its structure. A trapezoid is a quadrilateral with one pair of parallel sides.

The other two sides, known as the legs, are not parallel and meet at a point. These legs, along with the two parallel sides, form two triangles within the trapezoid.

One triangle is formed by connecting the two legs and one of the parallel sides. The other triangle is formed by connecting the two legs and the other parallel side.

So, a trapezoid consists of two triangles.

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9514 1404 393

Answer:

Step-by-step explanation:

Pi is the name given to the ratio of the circumference to the diameter of a circle. It is the same irrational value for all circles. "Pi" is the 16th letter of the Greek alphabet. The lower-case symbol π is used to represent the value ...

  3.1415926535897932384626433...

The value has been calculated to more than 31 trillion digits. The exercise of doing that is often used to test supercomputers and computer clusters.

__

"Pie" is something else entirely. Most often, it belongs on the dessert cart, not in a number set.

Answer:

The last one, 81000 sq ft.

Step-by-step explanation:

To find area, you do length times width.

81,000 ft. squared

Answer:

its A

Step-by-step explanation:

Answer:

A. y=5.50x

Step-by-step explanation:

Brainlist plz

Answer:

it is 500500

Step-by-step explanation:

learned this fact a few years ago and it stuck with me.

Answer:

[tex] \boxed{ \tt{x = 201 \:m}}[/tex]

Step-by-step explanation:

[tex]applying \: the \: sine \: rule \to \\ \: \sin(38) = \frac{x}{327} \\ x = 327 \sin(38) \\ x = 201.32[/tex]

Answer:

A. x^2−x+6

B. 2x^2−11x+12

C. x^2−4

Step-by-step explanation:

Hope it helps

A. Distribute:

=(x)(x)+(x)(−3)+(2)(x)+(2)(−3)

=x2+−3x+2x+−6

Combine Like Terms:

=x2+−3x+2x+−6

=(x2)+(−3x+2x)+(−6)

=x2+−x+−6

B. I can't find an explanation

C.  I can't find an explanation

Answer:

So we apply the distributive property to get

a) x^2 - 3x + 2x - 6

b) 2x^2 - 8x - 3x + 12

c) x^2 - 2x + 2x - 4

then we add like terms to get

a) x^2 - x - 6

b) 2x^2 - 11x + 12

c) x^2 - 4

brainliest please?

Answer:

Perpendicular bisector theorem

Step-by-step explanation:

The illustration of the theorem is:

If point B is a perpendicular bisector of Line AC and the length of AC is 10cm

Then

[tex]AB + BC = 10[/tex]

Where

[tex]AB = BC[/tex] --- Perpendicular bisector

So, the equation becomes

[tex]AB + AB =10[/tex]

[tex]2AB =10[/tex]

[tex]AB = 5[/tex]

Recall: [tex]AB = BC[/tex]

[tex]AB = BC = 5[/tex]

Answer: Compounded quarterly, 350, 420, 25, the account pays interest on both the principal and the interest accumulated.

Step-by-step explanation:

Question 1: Compounded quarterly is growing fastest because it's broken down more than what simple interest does and therefore is faster instead.

Question 2: Account A in 30 years would be 350, I did this problem and eyeballed it. Trust me.

Question 3: Account B in 30 years would be 420.

Question 4: The approximate difference between the two accounts in 20 years would be 25.

Question 5: If the rate of interest is annual and the interest is compounded quarterly then the number of years is 4 times and the rate of annual interest is one-fourth. Therefore, the account pays interest on both the principal and the interest accumulated.

Hope this helps

The simple interest and compound interest are solved for both the curves

a) The compound interest is growing fastest

b) the amount in Account A in 30 years A = $ 350

c) The amount in Account B in 30 years is B = $ 420

d) The difference between the two accounts in 20 years = $ 25

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

a)

Let the 2 curves be represented as A and B

Now , the amount invested by A = $ 200

The rate of simple interest = 2.5 %

And , the amount invested by B = $ 200

The rate of compound interest = 2.5 %

So , we can say that since it is more thoroughly broken down than basic interest is, compounded quarterly growth is the quickest.

b)

The amount for A in 30 years is given in the graph

A = $ 350

c)

The amount for B in 30 years is given in the graph

B = $ 420

d)

The amount for A in 20 years is given in the graph = $ 300

The amount for B in 20 years is given in the graph = $ 325

The difference between the two accounts in 20 years = $ 325 - $ 300

The difference between the two accounts in 20 years = $ 25

Hence , the compound interest is solved

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Answer:

21

Step-by-step explanation:

asdawda

Answer: 2

Step-by-step explanation:

Answer:

YES X=3

Step-by-step explanation:

10x=3x+21

-3x    -3x

7x=21

________ . *DIVIDE BY 7 on each side

7     7

X=3

Answer:

So, the domain are:

[tex]x = 4,1,0,-1[/tex]

The range are:

[tex]y = 2,3,0,-1,-3[/tex]

Step-by-step explanation:

Given:

[tex]\{(4, 2), (1, 3), (0, 0), (-1, -1), (1, -3)\}[/tex]

Required

The domain and the range

In relation, we have:

[tex]\{(x_1, y_1), (x_2, y_2), ......, (x_n, y_n)\}[/tex]

Where the x values are the domain and the y values represent the range.

So, the domain are:

[tex]x = 4,1,0,-1[/tex]

The range are:

[tex]y = 2,3,0,-1,-3[/tex]

Answer:

x = 60

Step-by-step explanation:

(x + 50)° + (x + 10)° = 180° (interior angles on the same side of transversal)

(2x + 60)° = 180°

2x + 60 = 180

2x = 180 - 60

2x = 120

x = 120/2

x = 60

Answer:

0.345

Step-by-step explanation:

hits/at-bats = 345/1000 = 0.345

The probability of a hit, any particular time he goes to bat. is 0.345.

The problem does not request any particular format, so 0.345 is a perfectly good answer.

In baseball, that is called a 'batting average', and is actually expressed that way - as a decimal - in a player's statistics.

On the other hand, if we did want to express the probability as a percentage, we would do this:  

0.345 * 100% = (0.345 * 100) % = 34.5 %

Hope this helps

Answer

where is the pdf?

Step-by-step explanation:

Answer:

6+4=10 and 10+5=15

Step-by-step explanation:

Answer:

Step-by-step explanation:

a+b=58 and 4a-2b=28 is the system of equations

solving the first for a, a=58-b, using this value for b in second equation is

4(58-b)-2b=28

232-4b-2b=28

232-6b=28

-6b=-204

b=34, and since a=58-b

a=58-34

a=24

So the two numbers are 24 and 34

Answer:

x is 44 because

3x+4+x=180

4x=180-4

4x=176

x=44

Answer:

99

Step-by-step explanation:

Answer:

99

Step-by-step explanation:

g

Answer:

I think the correct answer is $26,843,545.6

Step-by-step explanation:

Answer:

The answer is B 200

Step-by-step explanation:

i just took the test so yah :)

Answer:

potential solutions- 1

extraneous solutions- 0

solution to equation- x=3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf D. \ 64x^{12}y^6z^2}}[/tex]

Step-by-step explanation:

This is an example of a power to a power. The exponents inside the parentheses are being raised to another power outside the parentheses. We multiply the exponents and take the coefficients (number in front of the variables) to the power.

[tex](8x^6y^3z)^2[/tex]

Remember that a variable without an exponent has an implied exponent of 1.

[tex]8^2x^{6*2}y^{3*2}z^{1*2}[/tex]

Solve the coefficient's exponent.

[tex]64x^{6*2}y^{3*2}z^{1*2}[/tex]

Multiply the exponents.

[tex]64x^{12}y^{6}z^{2}[/tex]

So, the expression given is equal to Choice D: 64x¹²y⁶z²

Answer:

A. 5(1 + 3x)

Step-by-step explanation:

5(1 + 3x)

(5 × 1) + (5 × 3x)

5 + (5 × 3x)

5 + 15x

A works. Let's check the rest.

1(5 + 3x)

(1 × 5) + (1 × 3x)

5 + (1 × 3x)

5 + 3x

B does not work.

3(5 + х)

(3 × 5) + (3 × x)

15 + (3 × x)

15 + 3x

C doesn't work.

5(3x)

5 × 3x

15x

B, C, and D do not work.

Answer:

a) 0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) 0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.

Step-by-step explanation:

For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The probability of a component failing in less than 1000 hours is independent of any other component. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours.

Four components means that [tex]n = 4[/tex]

Probability of 0.2 of failling means that 1 - 0.2 = 0.8 probability of not failling, so [tex]p = 0.8[/tex]

a) Find the probability that exactly two of the four components last longer than 1000 hours.

This is [tex]P(X = 2)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]

0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.

b) Find the probability that the subsystem operates longer than 1000 hours.

It will operate if at least two compoents last longer than 1000 hours. So

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]

[tex]P(X = 3) = C_{4,3}.(0.8)^{3}.(0.2)^{1} = 0.4096[/tex]

[tex]P(X = 4) = C_{4,4}.(0.8)^{4}.(0.2)^{0} = 0.4096[/tex]

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.1536 + 0.4096 + 0.4096 = 0.9728[/tex]

0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.