Sabrina is 4 and her brother Sam is 9 years older than she is. In how many years will same be twice as old as Sabrina

Answer:

22

Step-by-step explanation:

This is a right angle so the sum of those would be equal to 90 degrees

x + 7 + 3x - 5 = 90 add like terms

4x + 2 = 90 subtract 2 from both sides

4x = 88 divide both sides by 4

x = 22

P(x)=x^2-6x+5[/tex]

[tex]\\ \sf\longmapsto P(4)[/tex]

[tex]\\ \sf\longmapsto 4^2-6(4)+5[/tex]

[tex]\\ \sf\longmapsto 16-24+5[/tex]

[tex]\\ \sf\longmapsto -8+5[/tex]

[tex]\\ \sf\longmapsto -3[/tex]

Answer:

1- 40 pennies

2- 4 dimes

Step-by-step explanation:

one penny is one cent => 40 pennies is 40 cents

one dime is 10 cents => 4 dimes is 40 cents

Hey there!

He can get 5 pennies, 3 dimes, and 1 nickel. Or, he can get 10 pennies, 2 dimes, and 2 nickels.

Hope this helps! Have a great day!

Answer:

y-0 = 1/2(x-0)

y = 1/2(x)

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y-0 = 1/2(x-0)

y = 1/2(x)

For each married women, there are only two possible outcomes. Either they dislike their mother in law, or they do not. The probability of a women disliking their mother in law is independent of any other women, which means that the binomial probability distribution is used 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.

90% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention).

This means that [tex]p = 0.9[/tex]

Suppose that seven married women are having coffee together one morning.

This means that [tex]n = 7[/tex]

Question a:

This is P(X = 7), so:

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

[tex]P(X = 7) = C_{7,7}.(0.9)^{7}.(0.1)^{0} = 0.4783[/tex]

Thus, 0.4783 = 47.83% probability that all of them dislike their mother-in-law.

Question b:

This is P(X = 0), so:

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

[tex]P(X = 0) = C_{7,0}.(0.9)^{0}.(0.1)^{7} = 10^{-7}[/tex]

Thus, [tex]10^{-7}[/tex] probability that none of them dislike their mother-in-law.

Question c:

This is:

[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7)[/tex], so:

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

[tex]P(X = 5) = C_{7,5}.(0.9)^{5}.(0.1)^{2} = 0.1240[/tex]

[tex]P(X = 6) = C_{7,6}.(0.9)^{6}.(0.1)^{1} = 0.3720[/tex]

[tex]P(X = 7) = C_{7,7}.(0.9)^{7}.(0.1)^{0} = 0.4783[/tex]

Then

[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1240 + 0.3720 + 0.4783 = 0.9743[/tex]

0.9743 = 97.43% probability that at least five of them dislike their mother-in-law.

Question d:

This is:

[tex]P(X \leq 4) = 1 - P(X > 4)[/tex]

Considering [tex]P(X > 4) = P(X \geq 5) = 0.9743[/tex]:

[tex]P(X \leq 4) = 1 - P(X > 4) = 1 - 0.9743 = 0.0257[/tex]

Thus, 0.0257 = 2.57% probability that no more than four of them dislike their mother-in-law.

For another example of the binomial distribution, you can check https://brainly.com/question/15557838

Answer:

Step-by-step explanation:

The steps and their reasons for the equation 8(y - 3) = - 40 are given below.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

8(y - 3) = - 40

            Steps                                               Reason

       8(y - 3) = - 40                                          Given

       8y - 24 = - 40                                Distributive property

8y - 24 + 24 = - 24 + 24                 Addition Property of Equality

               8y = - 16                                      Simplifying

          8y / 8 = - 16/8                       Division property of equality

                  y = - 2                                       Simplifying

More about the solution of the equation link is given below.

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Answer:

9.63 - 2.25 = 18j

j = 0.41

Step-by-step explanation:

first you set the equation equal to 18 since you want to find out what each bottle of juice  costs.

= 18j

if the total cost was 9.63 you need to subtract 2.25 form it to find out how much the 18-pack of juice bottles was. so you set 9.63 - 2.25 equal to  18j

9.63 - 2.25 = 18j

7.38 = 18j

0.41 = j

Check your work:

9.63 - 2.25 = 18(0.41)

7.38 = 7.38                    true!

hope this helps! if you have any questions, let me know!

Answer:

Hello,

x=9

y=7

Step-by-step explanation:

[tex]A*U=B\\\\\begin{bmatrix}-5&6\\6&6\\\end{bmatrix}*\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-3\\12 \end{bmatrix}\\\\\\A^{-1}=\begin{bmatrix}1&1\\1&\dfrac{5}{6}\\\end{bmatrix}\\\\\\A^{-1}*A*U=A^{-1}*B\\\\U=\begin{bmatrix}9\\7 \end{bmatrix}\\[/tex]

Answer:

Hello,

Step-by-step explanation:

do I remind you of the formula :

where (a,b) is the vertex and y=k the directrix

[tex]y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\\\y=-\dfrac{(x+4)^2}{4} -1 \\\\Using\ identification:\\a=-4\\2(b-k)=-4\\b+k=-2\\\\\left\{\begin{array}{ccc}b-k&=&-2\\b+k&=&-2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}2b&=&-4\\2k&=&0\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}b&=&-2\\k&=&0\\\end{array}\right.\\[/tex]

Focus=(-4,-2)

Directrix: y=0

Vertex=(-4,-1)

Let

ATQ

[tex]\\ \sf\longmapsto x+4x-6=94[/tex]

[tex]\\ \sf\longmapsto 5x-6=94[/tex]

[tex]\\ \sf\longmapsto 5x=94+6[/tex]

[tex]\\ \sf\longmapsto 5x=100[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{100}{5}[/tex]

[tex]\\ \sf\longmapsto x=20[/tex]

Answer:

$20

Step-by-step explanation:

T is Ted

K is Katie

T+K=94.

T=4K-6

I mostly just tried a bunch of numbers.

To check:

T+20=94

T=74

74=4(20)-6

74=80-6

74=74

I hope this helps!

pls ❤ and give brainliest pls

Answer:

The two numbers are 6 and 12.

Step-by-step explanation:

So, let's start off, with x+y = 18 and x-y = 6.

Algebraically, we can add the above two equation sets, and we find out that 2x = 24, so x = 12. And then, it says the other number must be 6.

You start with a number that when added to the second number you will get 18 and when you subtract the second number from the first you will get 6. The difference between the above two results is 12.

So that difference of 12 is twice the second number; that means the second number is 6. And then using either of the given pieces of information, you can find that the first number is 12.

------------------------------------------------------

In conclusion:

6 + 12 = 18

12 - 18 = 6

9/ (3/4)

= (9/1)/(3/4)

=(9x4)/(1x3)

=36/3

=12

Answer:

division:

divided means division (:)

9:3/4

And the answer is 12:))))))))))

Step-by-step explanation:

1 gallon = 4 quarts

4 quarts = 8 pints

8 pints = 16 cups

16 cups = 128 fluid ounces

He bought 128 ounces

Answer:

54 cents

Step-by-step explanation:

(.54 * 1)+(.46*0) = .54

The sum of the interior angles is 1260°

Answer:

The function is:

According to data in the table we have:

Since we found the values of a and n, the function becomes:

The number of infected to the tenth day:

Answer:

Step-by-step explanation:

I think scheme c Rs48,000 is the answer

Answer:

Step-by-step explanation:

400*e^(.09*3)

$523.97

answer is b

Answer: Option B

$523.97

Explanation:

= 400×e^(0.09×3)

= $523.97

Must click thanks and mark brainliest

Answer:

y = 11/20

Step-by-step explanation:

-4/5 + y = -1/4

Add 4/5 to each side

-4/5  +4/5 + y = -1/4+4/5

y = -1/4 + 4/5

Get a common denominator

y = -1/4 *5/5   + 4/5 *4/4

y = -5/20 + 16/20

y = 11/20

Check

-4/5 +11/20 = -1/4

Get a common denominator

-4/5*4/4 + 11/20 = -1/4*5/5

-16/20 +11/20 = -5/20

-5/20 = - 5/20

Check

Step-by-step explanation:

[tex] - \frac{4}{5} + y = - \frac{1}{4} \\ y = \frac{ - 1}{4} + \frac{4}{5} \\ y = \frac{ - 5 + 16}{20} \\ y = \frac{11}{20} [/tex]

[tex]y = \frac{11}{20} [/tex]

Answer:

purple line is -x and green line is x

hope that answers your question

used desmos to graph, its pretty cool!!!

Frank will be 22 years old and Michelle will be 11

The WACC of the firm is 17.05%

The first step is to write out the parameters given in the question;

Beta= 1.3

Debt to equity ratio= 0.4

Market rate of return= 11.6%

= 11.6/100

= 0.116

Tax rate= 32%

= 32/100

= 0.32

Risk free rate=  3.3%

= 3.3/100

= 0.033

Pretax cost of debt= 7.2%

= 7.2/100

= 0.072

The firm's WACC can be calculated as follows

RS= 0.033+1.3(0.116-0.033)

= 0.033+1.3(0.083)

= 0.033+0.1079

= 0.1409

WACC= (1/1.4)(0.1409)+(2/1.4) (0.072)(1-0.32)

= (0.7142)(0.1409) + (1.4285)(0.072)(0.68)

= 0.1006+0.0699

= 0.1705(100)

= 17.05%

Hence the firm's WACC is 17.05%

Learn more via the link below

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Answer:

D.

Step-by-step explanation:

Try A:

x = -6, f(x) = -1:-

f(-6) =   -5/3(-6) + 9

= 10 + 9 = 19   NOT A.

Try B:

f(-3) = -5/3(-3) - 9

= 5 - 9 = -4  NOT B

Try C:

9(0) + 5/3 = 5/4   NOT C

Try D:

f(3) = 5 + 9 = 14

f(0) = 9, f(-6) = -1 and f(-3) = 4

Answer:

1200 ×90÷8 is not correct ans

Answer:

machine fed copies = 25, hand fed copies = 55

Step-by-step explanation:

let machine fed = x, hand fed = y

0.08x+0.2y = 13 (1)

x+y = 80

x= 80-y (2)

sub (2) into (1)

0.08(80-y)+0.2y=13

6.4-0.08y+0.2y=13

0.12y=6.6

y = 55

sub y=55 into eqn 2

x = 80-55 = 25

Answer:

2x^3-x^2-4x+2

Step-by-step explanation:

(g*f)(x) = g(x)*f(x) = (x^2-2)*(2x-1) = 2x^3-x^2-4x+2

Graduation is 4 years away and you want to have $500 available for a trip. If your bank is offering a 4-year CD (certificate of deposit) paying 2.3% simple interest, how much do you need to put in this CD to have the money for your trip?

P: Principal, the amount you need to put in the CD

r: interest rate

t: time

A: total amount

________________________________

P(1+rt) = A

P(1+0.023×4) = 500

P(0.092) = 500

P = 500/0.092 = 5434.78

[Hence, you need $5434.78 to put in this CD to have the money for your trip ]

Step-by-step explanation:

{ x| x all real numbers}

The domain of f(x) = 5x – 7 will be all real numbers, as the function is a straight line, with no discontinuities, thus undefined at no value of x.

The domain of the function f(x) = 5ˣ - 7 is {x | x is a real number}.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given function is,

f(x) = 5ˣ - 7

The domain of the function is the set of all values of x such that the function is defined.

If we use any number for x, the function will be defined.

So the domain is the set of all real numbers.

So the correct option is last one {x | x is a real number}.

Hence the domain of the given function is {x | x is a real number}.

Learn more about Domain here :

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