1. Which value is equal to -8

Answer:

The answer must be D

Step-by-step explanation:

When a shape like a trapezoid is rotated, the figure will remain the same which means that a rotation will not change the measure of the angles, or the measure of the sides, therefore d must be correct because a rotation is a rigid transformation.

$3,244.21 can be withdrawn each month for 25 years, assuming an interest rate of 7% and a starting principal of $500,000.

PV = PMT × [1 - (1 + r)⁻ⁿ] / r

where:

PV is the present value of the annuity

PMT is the payment amount per period

r is the interest rate per period

n is the total number of periods

In this case, we want to withdraw a fixed amount each month for 25 years, which represents 12 ×25 = 300 periods.

The interest rate per period is 7% / 12 = 0.5833%.

Let's assume that you want to withdraw a fixed amount each month, and you want the withdrawals to last for 25 years. To calculate the amount you can withdraw each month,

PV = PMT × [1 - (1 + r)⁻ⁿ] / r

500,000 = PMT × [1 - (1 + 0.005833)⁻³⁰⁰] / 0.005833

Solving for PMT, we get:

PMT = PV × r / [1 - (1 + r)⁻ⁿ]

PMT = 500,000 × 0.005833 / [1 - (1 + 0.005833)⁻³⁰⁰]

PMT = $3,244.21

Therefore, you can withdraw $3,244.21 each month for 25 years, assuming an interest rate of 7% and a starting principal of $500,000.

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The age of the watch when David's father lost it was 13. 3 years.

David found the watch 38 years after his father lost it, and the watch worked for 2 years after it was lost. That means the watch was 40 years old when David found it.

When David found it, the watch was 3 times as old as when his father lost it. This means that :

= Number of years lost / 3

= 40 / 3

= 13. 3 years

In conclusion, the watch was 13. 33 years old when David's father lost it.

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The value of x is,

⇒ x = 8

Given that;

In a triangle,

Perpendicular = 4 feet

Hypotenuse = x

Hence, We can formulate;

⇒ cos 60 = 4 / x

⇒ 1/2 = 4/x

⇒ x = 8

Thus, The value of x is,

⇒ x = 8

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The ratio of the given 240 kg to 6 kg will be 40:1.

What is Ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings. Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."

the ratio 240 kg to 6 kg.

It will be simple 240/6 :: 40 :1

Hence the ratio of the given data will be 40:1

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Answer:

$1211.53

Step-by-step explanation:

10 hats cost $124.90 each for a total of $1249.

substract the $37.47

balance is $1121.53

Answer:

28/5

Step-by-step explanation:

Answer:

P(X = 3) = 0.14680064

Step-by-step explanation:

Formula=============================

\(p\left( X=k\right) =C^{k}_{n}p^{k}(1-p)^{n-k}\ \ ;\ k\in \left\{ 0,\ldots ,n\right\}\)

……………………………………………………………………..

Given :

n = 8

p = 0.2

1 - p = 1 - 0.2 = 0.8

k = 3

Then

\(p\left( X=3\right) =C^{3}_{8}(0.2)^{3}(0.8)^{5}\)

               \(=0.14680064\)

The area of the square is given as 100 square unit

You should be aware that the square has all its sides equal

The perpendicular from opposite vertices represent distance

The given vertices are

(2,2) and (10,8)

Using the formula for distance between two points

d=√(10-2)²+(8-2)²

d=√8²+6²

d = √64+36

d=√100

This implies that d=10

The area of a square is given as s²

Area = 10²

Atrea = 100 square units

In conclusion, the area of the square is 100 square units

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Translated question:

The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square

Answer:

C

Step-by-step explanation:

We can use the factored form of the quadratic equation, given by:

\(y=a(x-p)(x-q)\)

Where a is the leading coefficient and p and q are the zeros.

We have zeros x = -2 and x = 3. So, let p = -2 and q = 3:

\(y=a(x+2)(x-3)\)

Next, we are given that our y-intercept is (0, -30).

In other words, when x = 0, y = -30. So:

\(-30=a(0+2)(0-3)\)

Solve for a:

\(-30=-6a\Rightarrow a=5\)

Hence, our factored equation is:

\(\displaystyle y=5(x+2)(x-3)\)

For the standard form, expand:

\(y=5(x^2-3x+2x-6)\)

Simplify:

\(y=5(x^2-x-6)\)

Distribute:

\(y=5x^2-5x-30\)

Our answer is C.

Answer:

5,x6=5

4÷6=6

4=6=8

4=6687554=+÷976555££=6££6/=

Answer:

3 quarters od the members of a club are juniors.

The rest are seniors.

Now when the word quarter pops up I always think 1/4 since 4 quarters make up a dollar.

Now 3 quarters thats already 75

At the end of the day we need to make a dollar, thw amount of serious is the remaining.
75 + x = 100?
X= 25

25 are seniors which is equal to one quarter.

So 1 quarter senior 3 quarter junior.
NOw put them into the ratio junior : senior.

3:1

The option that is not true about polynomial functions is:

Option D. The deg (f ^ 3) = 3m​

For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:

Option A: deg(f + g) = max(m, n)

This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.

Option B: deg(f * g) <= m + n

This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.

Option C: If g is a factor of f, then deg(f) <= m

This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.

D. The deg(f ^ 3) = 3m

This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.

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Answer:

8.7*10^12

Step-by-step explanation:

Answer:

..

Step-by-step explanation:

Answer:

10b+10a

Step-by-step explanation:

Answer:

The answer is 10a

Step-by-step explanation:

(1)(0b+10a)

=(1)(0b)+(1)(10a)

=0+10a

=10a

Hope this helps :)

The probability of an event is the chance of the event occuring at all and its usually measured between 0 and 1. if it moves closer to zero, that means the chances are very low and as it moves closer to one, the chances are very high (or quite high).

The probability basically can be calculated as

P (E) = Number of required outcomes / Number of possible outcomes

The number of required outcomes is the expected results from the experiment, in this case the required outcome is the probability or chances of picking a purple marble and a white marble. The number of possible outcomes is the total of all possibilties regardless of whether its part of your expected results or not.

Bowl 1 contains a total of 20 marbles, that means all possible outcomes are 20. There are however 4 purple marbles and that means the required outcomes are 4. Therefore the probabilty of picking a purple marble is calculated as follows;

P(Purple) = No of required Outcomes / No of possible Outcomes

P (Purple) = 4/20

P (Purple) = 1/5

P (Purple) = 0.2

Similarly, the probability or chance of picking a white marble from bowl 2 is calculated as follows;

P(White) = No of required outcomes / No of possible outcomes

P(White) = 6/20

P(White) = 3/10

P(White) = 0.3

At this point we need to know the probability of picking a purple AND a white marble, and this is done each time with replacement. That means the result of one event does not affect the result of the next, they are independent events.

To calculate the probability of independent events, you use the formula

P (Ind Events) = P(A) * P(B)

You multiply both results together, that is the result of the probabilty of event A times that of event B. Our A and B in this case are Purple and White. Therefore,

The probability of picking a purple and a white marble is derived as follows;

P [(W) * (P)] = 0.3 * 0.2

P [(W) * (P)] = 0.06

{Note that you have two decimals, hence your answer will have to be two decimal places}

If the probability of both events is derived as 0.06, then she has a 6% chance of drawing a purple marble from bowl 1 and a white marble from bowl 2. This can be used as a predictor, that is if she now draws both marbles from both bowls 200 times, the result predictably would be;

Prediction = Probability * Number of experiments

Prediction = 0.06 * 200

Prediction = 12

Answer:

\(3x^{3} - 14x^{2} - 5x\)

Step-by-step explanation:

I'm assuming what you're looking for is the expansion, or simplification, of the right side of that equation: x(3x + 1)(x - 5). So, let's go ahead and do that; let me know if you're looking for something else.

First, let's distribute that "x" at the beginning of the expression onto that first parenthetical expression, (3x + 1).

\(x(3x + 1) = x(3x) + x(x) = 3x^{2} + x\)

Now we have something different to simplify, \((3x^{2} + x)(x - 5)\).

\((3x^{2} + x)(x - 5) = \\3x^{2}(x) + 3x^{2}(-5) + x(x) + x(-5) = \\3x^{3} - 15x^{2} + x^{2} - 5x = \\3x^{3} - 14x^{2} - 5x\)

And there's our answer. Hopefully that was helpful - again, if you have any more questions, please let me know. :)

Answer:

d

Step-by-step explanation:

did da math

Answer:

Step-by-step explanation: $130-$70 lift = $60/$20 per hour= 3 hours ski time

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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Answer:

it is I think 3 because 17_314

Answer:

The pink one

Step-by-step explanation:

3^-5 x 3^2 = 3^(-5+2) = 3^-3

Answer:

111

Step-by-step explanation:

Any piece of wood, represented by w, must be less than 3¼ feet long in order to be used by Ms. Samuels in her building project.

What is the inequality?

An inequality is a mathematical statement that describes the relationship between two values or expressions that are not necessarily equal.

The inequality that represents the relationship between w, any piece of wood, and the length of pieces of wood Ms. Samuels can use is:

w < 3¼

This means that any piece of wood, represented by w, must be less than 3¼ feet long in order to be used by Ms. Samuels in her building project.

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Remainder=2

The number is divided by 3, 4, 5, 6.

What is an example of a remainder?

Sum remaining after division (happens when the first number does not divide exactly by the other).

                  Example: Dividing 19 by 5 precisely is not possible. 3 x 5 = 15, which is 4 less than 19, is the closest you can get without exceeding.

The required number is 62.

Let the required smallest number be X.

We are aware that the required number is to be divided by 5, 6, 4, 3.

The number leaves a remainder=2 on dividing by the aforementioned numbers.

So, we will calculate the LCM of 6, 5, 4, 3 to get the number.

The lowest multiple that is common between 6, 5, 4, 3=60

We divide X by 60 and get 2 as the remainder.

So, X has to be 2 more than the LCM.

X=60+2

X=62

Therefore, the required number is 62.

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Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

Rowan and Emma each had 37 number of popsicles.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Rowan and Emma each had an equal number of popsicles.

Rowan ate 25 and Emma ate 31, now Rowan had twice and many popsicles as emma, we need to find the number of popsicles they had in first,

Let they had x number of popsicles in the first,

Therefore, establishing the equation according to question.

x-25 = 2(x-31)

x-25 = 2x-62

x = 37

Hence, Rowan and Emma each had 37 number of popsicles.

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Answer:

0.167

Step-by-step explanation:

if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6

technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167

that should end up being your answer if i did the math right

Answer:

Step-by-step explanation:

5/12 * 6/15 =30/180

1/6=1/6

which is true, Right-hand side is equal to left-hand side