Complete the work shown to answer the question.


p2 – 14p – 72 = 0


p2 – 14p = 72


p2 – 14p + 49 = 72 + 49


Which describes the solutions of the equation?


Since 7 and 11 are both rational, the sum and difference are rational.

Since 14 and 11 are both rational, the sum and difference are rational.

Since 7 is rational and StartRoot 11 EndRoot is irrational, the sum and difference are irrational.

Since StartRoot 7 EndRoot is irrational and 11 is rational, the sum and difference are irrational.


i got the answer its a

Answer:

20

Step-by-step explanation:

Hello There!

So first we need to determine what the formula for area of a trapezoid is

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = bases and h = height

the given information is the area and the two bases

so we plug in the given information and solve for h

[tex]180=\frac{4+14}{2} h\\4+14=18\\\frac{18}{2} =9\\180=9h[/tex]

divide each side by 9

[tex]\frac{180}{9} =20\\\frac{9h}{9} =h[/tex]

we're left with

h=20

so we can conclude that the height is 20

Answer:

The video is blocked but you can type your question on here1

Step-by-step explanation:

Answer:

if u look closely at the doted line it shows the height and the number on the inside right beside it is the height witch the answer would be C

Answer:

Step-by-step explanation:

a) (3,5)

b) 3 units

c) 10 units

Hope that helps!

Answer:

Step-by-step explanation:

I hope this helped

The probability that the Yankees will lose when they score fewer than 5 runs is 0.821 (nearest to the thousandth).

For two events A and B:

The chain rule states that the probability that A and B both occur is given by:

[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]

Lets suppose here that:

Suppose A' and B' are their complementary events, then we have:

Then, by the given data, we have:

[tex]P(A) = 0.56\\P(B) = 0.61\\P(A' \cap B') = 0.32[/tex]

We've to find [tex]P(A' | B')[/tex]

Using chain rule, we have:

[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')}[/tex]

Since P(B') = 1-P(B) = 100.61 = 0.39, therefore, we get:

[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')} = \dfrac{0.32}{0.39} \\\\P(A'|B') \approx 0.821[/tex]

Thus, the probability that the Yankees will lose when they score fewer than 5 runs is 0.821

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Answer:

Y=60x

Step-by-step explanation:

Step-by-step explanation:

Given interval

0º < x < 360°

tan X = - 0.6745

tan X = tan 146 ° , tan 326

Either

tan X = tan 146

x = 146°

Or

tan X = tan 326°

x = 326°

Therefore the answers are

x = 146° and 326°

Hope it will help :)❤

Answer:

Je ne sais pas sur quoi vous avez besoin d'aide, pourriez-vous préciser pour que je puisse vous aider ??

Step-by-step explanation:

Answer: The probability of drawing a king from the deck has been changed when a Jack is drawn and not replaced back. So the two events are dependent. The answer to this question is TRUE

Step-by-step explanation:

Two events are dependent if the occurrence of one event affects the probability of occurrence of the other event.

Total number of cards in a deck are 52. There are 4 jacks and 4 kings.

If we simply pick up a king from the deck, the probability of picking a king would be

However, when a Jack is drawn from the deck of cards and not replaced back, the number of total cards reduces by 1. So now the total number of cards in the deck is 51 with 4 kings. In this case the probability of drawing a king is 4/51

Answer: x-intercepts (5,0), (2,0), (1,0)

y-intercept (0,-10)

Step-by-step explanation: If one factor of the polynomial function is (x-5), then the function f(x) can be factored in the following way: (x-5) (x^2-3x+2)

Now factor the trinomial: (x-2) (x-1)

Thus, x-intercepts (points where f(x)=0) are

x1=5

x2=2

x3=1

and y-intercept (point where x=0) is

f(0)=0^3-8.0^2+17.0-10=-10.

plz mark me brainliest

A function assigns the values. The y-intercept of the function is -10, while the x-intercept of the function is 5, 2, and 1.

A function assigns the value of each element of one set to the other specific element of another set.

To find an intercept of the function, we need to substitute the value of x or y depending on the intercept as 0 in the function. Therefore, the x-intercept of the function is,

y = (0)³ - 8(0)² + 17(0) - 10

y = -10

Since given that one factor of the function f(x)=x³-8x²+17x-10 is (x-5). Therefore, if the function f(x) is divided by (x-5). The quotient will be x²-3x+2.

Now, Factorising the given expression x²-3x+2.

x²-3x+2

= x² - 2x - x + 2

= x(x-2) -1(x-2)

= (x-2)(x-1)

Now, we can write the function f(x)=x³-8x²+17x-10 as y=(x-5)(x-2)(x-1). Therefore, the x-intercept of the function is,

x-intercept = 5, 2, 1

This can be verified from the graph formed below.

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Answer:

[tex]y = 3(2)^x[/tex]

Step-by-step explanation:

Given

The attached table

Required

Determine the exponential function

An exponential function is represented as:

[tex]y = ab^x[/tex]

From the table;

[tex](x,y)=(0,3)[/tex]

So:

[tex]y = ab^x[/tex]

[tex]3 = a * b^0[/tex]

[tex]3 = a * 1[/tex]

[tex]3 = a[/tex]

[tex]a = 3[/tex]

Also:

[tex](x,y) = (1,6)[/tex]

So:

[tex]y = ab^x[/tex]

[tex]6 = a * b^1[/tex]

[tex]6 = a * b[/tex]

Substitute [tex]a = 3[/tex]

[tex]6 = 3 * b[/tex]

Solve for b

[tex]b = 2[/tex]

So:

[tex]y = ab^x[/tex]

[tex]y = 3(2)^x[/tex]

The exponential function represented by the values is f(x) = 3(2)ˣ

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

From the table, at point (0, 3):

3 = ab°  

a = 3

At point (2, 12):

12 = ab²

12 = 3b²

b² = 4

b = 2

f(x) = 3(2)ˣ

The exponential function represented by the values is f(x) = 3(2)ˣ

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Answer:

30

Step-by-step explanation:

f(-5) = -7(-5) - 5

= 35 - 5 = 30

Answer:

6 if I am correct I hope this helps

Answer:

135

Step-by-step explanation:

135+45=180

Answer:

136

Step-by-step explanation:

Surface area is area of everything added together.

Area of triangle is 4 * 6 over 2 = 12

Area of side rectangle is 5 * 7 = 35

Area of base rectangle is 6 * 7 = 42

42 + 35 + 35 + 12 + 12

Final Answer: 136 sq m

5%

what % times 20% is 100%

5%

Answer:

What's the Height and Radius?

Step-by-step explanation:

Answer:

V≈1526.81 = 1526.8

Step-by-step explanation:

The correct form of the geometric sequence is:[tex]5, 35, 245, 1,715, ... = 5, 5 * 7, 5 * 7^2, 5 * 7^3, ...[/tex]

To identify the correct form of the geometric sequence 5, 35, 245, 1,715, ..., we can look for a common ratio between consecutive terms.

To find the common ratio, we divide any term by its preceding term. Let's take the second and first terms:

35 / 5 = 7

Now, let's check the third and second terms:

245 / 35 = 7

Similarly, for the fourth and third terms:

1,715 / 245 = 7

Since we obtained the same result (7) for all ratios, we can conclude that the common ratio of this geometric sequence is 7.

Now, let's express the general form of the sequence using the first term (a) and the common ratio (r):

a, ar, [tex]ar^2,[/tex] [tex]ar^3,[/tex] ...

Substituting the given values:

a = 5 (the first term)

r = 7 (the common ratio)

The correct form of the geometric sequence is:

[tex]5, 5 * 7, 5 * 7^2, 5 * 7^3[/tex], ...

Simplifying the terms, we get:

5, 35, 245, 1,715, ...

Therefore, the correct form of the geometric sequence is:

5, 35, 245, 1,715, ... = 5, 5 * 7, 5 * 7^2, 5 * 7^3, ...

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Answer:

P(X > 4) = 0.8059

Step-by-step explanation:

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.

In this question, we have that:

[tex]n = 8, p = 0.7[/tex]

We want:

[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)[/tex]

In which

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

[tex]P(X = 5) = C_{8,5}.(0.7)^{5}.(0.3)^{3} = 0.2541[/tex]

[tex]P(X = 6) = C_{8,6}.(0.7)^{6}.(0.3)^{2} = 0.2965[/tex]

[tex]P(X = 7) = C_{8,7}.(0.7)^{7}.(0.3)^{1} = 0.1977[/tex]

[tex]P(X = 8) = C_{8,8}.(0.7)^{8}.(0.3)^{0} = 0.0576[/tex]

Then

[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) = 0.2541 + 0.2965 + 0.1977 + 0.0576 = 0.8059[/tex]

So

P(X > 4) = 0.8059

Hey there!

The answer is 4 meters, or 4 m.

The formula for volume is lwh, or Length * Width * Height, so we can set up an equation plugging in the values we know:

lwh = V

l(2)(10) = 80

Simplify:

20l = 80

Divide both sides by 20:

l = 4

Have a terrificly amazing day! :)

Answer:

60ºF

Step-by-step explanation:

80ºF - 20ºF = 60ºF

Answer:

not sure if this is the question but it would be 60 degrees Fahrenheit

Answer:

40%

Step-by-step explanation:

Because there are 5 rectangle total, we can dive 100% into 5 parts.

Each part is then 20%, there are 2 shaded rectangles thus the answer is 40%.

Step-by-step explanation:

there are 48 total crayons

Answer:

b = 22

Step-by-step explanation:

3b-16=50

3b = 66

b = 22

Answer:

b = 22

Step-by-step explanation:

The first step to solve this is to get rid of -16. You can do this by adding 16 to both sides (since addition is the opposite of subtraction). You'll get 3b=66.

After you get rid of the -16, you want to isolate the variable. Because there is a coefficient/number in front of the variable, you want to divide in order to get rid of it. In order to do that, you divide both sides by 3.

3b/3 = b and 66/3 = 22

After that, you will get b = 22.

You can even check this by plugging 22 as b.

3 x 22 = 66

and 66 - 16 = 50

Answer:

m<P=130°

m<Q=130°

m<R=50°

Step-by-step explanation:

m<P=130

m<Q=130

m<R=50

Answer: 32%

Step-by-step explanation:

8/25

The probability that a customer ordered a small given that he or she ordered a cold drink is 32%

The probability is represented as:

P(Small | Cold)

This is calculated using:

P(Small | Cold) = n(Small and Cold)/n(Cold)

Using the data on the given table, we have:

P(Small | Cold) = 8/(8 + 12 + 5)

Evaluate

P(Small | Cold) = 0.32

Express as percentage

P(Small | Cold) = 32%

Hence, the probability that a customer ordered a small given that he or she ordered a cold drink is 32%

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