Find the indicated measure of angle SPT

Answer:

Step-by-step explanation:

Circumference is 2pir

So 14pi meters

Answer:

6+4=10 and 10+5=15

Step-by-step explanation:

Answer:

Step-by-step explanation:

<2, <3, <6 have the measure of 135 degrees

Answer:

potential solutions- 1

extraneous solutions- 0

solution to equation- x=3

Step-by-step explanation:

Answer:

the lowest point of the dry lake bed in the example has an elevation of -18 3/4 ft what number represents the change in elevation from the start of the path to the lowest point in the dry lake bed show your work (my teacher said she messed it up so it’s the same question just the numbers are -18 3/4 - (-12 1/2) explain how !

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:

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:19

Step-by-step explanation:perimeter is everything added since it’s a rectangle 10 on both length sides will be 20 so 58-20 is 38 divide that by 2 and that’s your answer.

Answer:

5.34 pages/h

Step-by-step explanation:

4/45 = p/60

p ≈ 5.34

Answer:

Step-by-step explanation:

3/4 of an hour is the same as 0.75

Write a proportion.

4 (pages)/0.75 (hours)=p(pages)/1 hour

Cross multiply and divide

(4x1)÷0.75=5.33 (rounded to the nearest hundred)

p=5.33

Marcia can type 5.33 pages per hour.

Answer:

11. 78

12. 4x² - 3x - 1

Step-by-step explanation:

11. Sum of n whole numbers = ½(n² + n)

Multiply

½*n² + ½*n

= n²/2 + n/2

To find the sum of the first 12 whole number, substitute 12 for n into the equation.

= 12²/2 + 12/2

= 144/2 + 12/2

= 72 + 6

= 78

12. Area of trapezoid = ½(a + b)*h

Where,

a = 5x - 4

b = 3x + 2

h = x + 1

Area = ½(5x - 4 + 3x + 2)*(x + 1)

Area = ½(8x - 2)*(x + 1)

Area = ½[8x(x + 1) -2(x + 1)]

= ½[8x² + 8x - 2x - 2]

Add like terms

= ½(8x² - 6x - 2)

= ½(8x²) - ½(6x) - ½(2)

= 4x² - 3x - 1

Answer:

8/24 = 1/3

Step-by-step explanation:

divide numerator and denominator by 8

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:

Square root of 3

Step-by-step explanation:

Answer:

can you help me with this math am not good enough

Answer:

The answer is B 200

Step-by-step explanation:

i just took the test so yah :)

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:3x/2

Step-by-step explanation:Move all terms that don't contain

y

to the right side and solve.

Answer:

-3/2x+6

--

You start by simplifying the equation.

Answer:

it is 500500

Step-by-step explanation:

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

Answer:

B

Step-by-step explanation:

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

To learn more about compound interest click :

https://brainly.com/question/21270833

#SPJ3

Answer: if the second angle is vertical to the first one, then they will both have the same degrees which is 131°

Step-by-step explanation:

Answer:

n-5

Step-by-step explanation:

Answer:

x is 44 because

3x+4+x=180

4x=180-4

4x=176

x=44

The limit does not exist at the jump discontinuity at x = -2.

From the left, the green-ish curve approaches 4; from the right, the orange curve approaches 6. These one-sided limits are not equal, so the two-sided limit does not exist.

A limit of a function does not exist at a point x is the limit of f(x) approaching x to the left is different of the limit of f(x) approaching x to the right.

Using this concept, we find that the limit does not exist at c = -2.

Points we need to verify:

Points in which there are changes in the definition of the function, which are:

x = -4, -2, 2, 4

At x = -4

The definitions are bunched together, so the lateral limits are the same, and the limit exists.

At x = -2

As the function approaches x = -2 to the left(x < -2), its value is close to 4, so the limit is 4.

As the function approaches x = -2 to the right(x > -2), its value is close to 6, so the limit is 6.

Since the lateral limits are different, for c = 2, the limit does not exist, and this is the correct answer.

At x = 2

The lateral limits are the same, the only thing that changes is the definition of the function at x = 2, which does not affect the limit, which exists.

At x = 4

The definitions are bunched together, so the lateral limits are the same, and the limit exists.

For more on lateral limits, you can take a look at https://brainly.com/question/23405626

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.

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:

The last one, 81000 sq ft.

Step-by-step explanation:

To find area, you do length times width.

81,000 ft. squared

Answer:

w = -6/7

Step-by-step explanation:

-1w/2 - 3/5 = 1w/5

multiply by 10 to eliminate fractions:

-5w - 6 = 2w

-6 = 7w

w = -6/7