factor each expression 45x + 63y

Answer:

A.

Step-by-step explanation:

delta = [tex]b^{2} - 4ac = (-8)^{2}-4*1*12 = 64 - 48 = 16[/tex]

[tex]x_{1} = \frac{b-\sqrt{delta}}{2a} = \frac{8+4}{2} = 6[/tex]  

[tex]x_{2} = \frac{b+\sqrt{delta}}{2a} = \frac{8-4}{2} = 2[/tex]

Answer:

3 inches

Step-by-step explanation:

⇒r3=36π×3/4π

or r3=27

Taking cube root of both sides

r=3 inch

Answer:

B.  0.33

Step-by-step explanation:

The probability will be given by the amount of space in the target area, blue, compared to the total amount of space, the red square.

The size of the blue square is 64 and the size of the red square is 196; this gives us a probability of

64/196 = 16/49 = 0.3265 ≈ 0.33.

The required probability that a dart will land in the blue region is 0.33. Option B is correct.

Given that,
A target is made of a blue square inside of a red square. The blue square has an area of 64 square units, and the red square has an area of 196 square units.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Total sample space = 196
Total favorable space = 64
The probability that a dart will land in the blue region is given as.
probability = 64 / 196 ≈ 0.33

Thus, the required probability that a dart will land in the blue region is 0.33. Option B is correct.

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Answer:

t = 540

Step-by-step explanation:

18 - t/20 = -9

Subtract 18 from both sides.

-t/20 = -27

Multiply both sides by -20.

t = 540

Answer: C

Step-by-step explanation: The word problem says that the value depreciates monthly, which means that -22m is how much Megan's gadget depreciates because m stands for months.

Options B and D are not true because the value has a variable, which indicates that it is decreasing by number of months according to the minus sign and not at a fixed amount.

Option A is not true because the word problem says that the expression shows the monthly depreciated sales value of the gadget, not the amount of time Megan will wait to sell the gadget.

Answer:

A Yana's average number of points is 0.5 points greater than Amber's

Step-by-step explanation:

i added up all of Yana's points = 15

I added up all of Amber's points = 12

then i divided them both by 6 because there is 6 numbers total so then i got

Yana = 2.5 Amber = 2

2.5 - 2 = 0.5 so Yana's average number of points is 0.5 points greater than Amber's

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Answer:

A: Yana's average number of points is 0.5 points greater than Amber's

Step-by-step explanation:

I did this on my homework

By calculating 2/3 of 600, we find that 400 seeds sprouted, which means 200 seeds did not sprout.

To determine how many seeds did not sprout, we start by calculating the number of seeds that did sprout. Given that 2/3 of the 600 seeds sprouted, we multiply 600 by 2/3:

600 × (2/3) = 400

So, 400 seeds sprouted. Next, we subtract this number from the total number of seeds to find out how many did not sprout:

600 - 400 = 200 seeds

Therefore, 200 seeds did not sprout.

Answer:

Examples of linear functions would be relationships that represent a constant rate of change, such as 20 miles per gallon of gas.  Exponential functions would be relationships that represent a growth or decay the increases or decreases by an exponential amount, such as a bacterial growth that doubles each hour.  Examples of situations that would be neither linear or exponential would be absolute value functions or quadratic functions.

Step-by-step explanation:

Situations, or relationships between data, that can be modeled with a linear function must show a constant increase or decrease in rate.  For example, we could control the rate of temperature in a water bath by two degrees every ten minutes.  For exponential functions, these can be modeled in situations where there is a significant growth or decay of a material.  For instance, the radioactivity of an element will decrease by one-half every year.  This would represent an exponential decay.  For other types of situations, such as changes in body temperature (absolute value) or the speed of a kayaker (quadratic), these would not be modeled using either linear or exponential functions.

A linear function can model constant rate of change, exponential function can model constant growth or decay, and some situations do not fit into these mathematical models.

A linear function can model situations where there is a constant rate of change between two variables. For example, if the cost of a movie ticket increases by $2 for every additional hour of the movie, you can represent this relationship with a linear function.

An exponential function can model situations where there is constant growth or decay. For example, if the value of an investment doubles every year, you can represent this relationship with an exponential function.

There are situations that cannot be modeled with either a linear or exponential function. For example, unpredictable events or situations with multiple complex factors may not fit into these mathematical models.

The equation of proportional situation is y = ax.

Therefore your answer is y = -2x + 14

Answer:

No, it only equals 1 3/4.

Step-by-step explanation:

You first need to break up 1/2. You should know it equals 2/4, so adding 1 1/4 and 2/4, it will equal 1 3/4

The formula of a volume of a cylinder:

[tex]V=\pi r^2H[/tex]

r - radius

H - height

W have r = 3cm and H = 8cm. Substitute:

[tex]V=\pi(3)^2(8)=\pi(9)(8)=72\pi\ cm^3[/tex]

[tex]\pi\approx3.14\to V=72(3.14)=226.08\ cm^3[/tex]

1. -4 and 3/10 and 4.51010910921... are all rational numbers.

2. Yes 81 is a perfect square because its square root is 9 which is a real number.

3. 5

4. Well the closest perfect square to 52 is 49 and 64. 52 is closer to 49 and the square root of 49 is 7 so the estimated value of the square root of 52 is about 7.

False- every square root is not rational because some aren't perfect squares, meaning the result is a decimal that keeps going forever.

5. (x+6, y-5)

Answer:

Step-by-step explanation: I would say 3 because when you divide 54 by 9 you get 6. Then when you divide 6 by 2, you get 3. Hope this helps‼ ☺

The number of students gym teacher has putted in each team is, 3

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

A third-grade gym class has 54 students

The gym teacher divides them into 9 groups

Then divides each group into 2 teams

The number of students in each team = ?

Number of students in a group =   54/9

                                                    =    6 students

Then each group divided into two teams,

Number of students in each team = 6/2

                                                         = 3

Hence, the number of students is 3

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Answer:

see explanation

Step-by-step explanation:

when solving an equation and the final statement reads

4 = 4

this means that there are an infinite number of solutions to the system

Answer:

nine hundred fifty-four thousandths

Step-by-step explanation:

If you mean written as in a form in words:

To the first decimal place means tenths because it is out of ten

To the second place, it's hundredths because 100 = 10^2

3rd is 1000, and so on

A fraction (as in two out of five), is expressed in words as "two fifths"

So 954 out of 1000 would be nine hundred fifty-four thousandths

Answer:1/15

Take 60/4=15

The theoretical probability of winning a prize is 1/15.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, given data;

Total trials = 60

Expect to win = 4

Probability = favorable outcomes/total outcomes

                   = 4 / 60

                   = 1/15

Thus, The theoretical probability of winning a prize is 1/15.

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Answer:

3⋅(5⋅x)

5⋅(x⋅3)

15x

Step-by-step explanation:

As the values are inside the brackets, it does not matter what side the (x3) is on, so 3⋅(5⋅x) is equivalent.

Multiplying the contents of the brackets in the third one (x * 3) by 5 gives the same value as 3 * (x * 5) so 5⋅(x⋅3) is also equivalent.

On multiplying the brackets out:

5 * x = 5x

5x * 3 = 15x

So 15x is also equivalent.

Answer:

B

Step-by-step explanation:

Answer:Here is the answer

Step-by-step explanation: You first break the shape into two different shapes.Then add them side by side. Determine the length for each side. Then add them together. Add both of the perimeters of the shapes.

Answer:

[tex]-10[/tex]

Step-by-step explanation:

The given expression is

[tex]n^2+5n-4[/tex]

We want to find the value of this expression when [tex]n=-3[/tex].

We just have to put [tex]-3[/tex] wherever we see [tex]n[/tex] in [tex]n^2+5n-4[/tex].

When [tex]n=-3[/tex] is substituted, we get,

[tex]=(-3)^2+5(-3)-4[/tex]

This will give us,

[tex]=9-15-4[/tex]

We simplify to get,

[tex]=-10[/tex]

Answer:

If a car with a blowing horn is moving toward you, the pitch sounds higher than the actual emitted frequency.

Step-by-step explanation:

In figure,

        V= speed of wave

         U= speed of car

When car moving towards you, then

Car travels a distance in time T = VT

 Wave travels a distance in time T = UT

From figure,

                    change in wavelength (λ') = VT - UT= T(V-U)

Now,

        V = λ' f'         (f' →frequency observed by you)

         f' = V ÷ λ' = [tex]\frac{V}{T(V-U)}[/tex]

We know that

                      [tex]\frac{1}{T}[/tex] = f

Then,

        f' =  [tex]\frac{Vf}{V-U}[/tex]

        f' = [tex]\frac{f}{1-\frac{U}{V} }[/tex]

Hence, we can say that

           frequency increases as source moves toward you.

Answer:

B. Increase

Step-by-step explanation:

The closer together the crests, the higher the frequency (or pitch)

Answer:

-2

Step-by-step explanation:

Hope this helps!

Answer:

6.33... and 0.333...

Step-by-step explanation:

The quadratic formula is

[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex].

It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions.  Using the formula will require less work than finding the factors if factorable. We will substitute a=9, b=-54 and c=-19.

[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-54)+/-\sqrt{(-54)^2-4(9)(-19)} }{2(9)}\\x=\frac{54+/-\sqrt{2916+684} }{18}[/tex]

We will now solve for the plus and the minus.

The plus,,,

[tex]x=\frac{54+\sqrt{3600}}{18}\\x=\frac{54+60}{18}\\x=\frac{114}{18}\\x=6.3[/tex]

and the minus...

[tex]x=\frac{54-\sqrt{3600}}{18}\\x=\frac{54-60}{18}\\x=\frac{-6}{18}\\x=-0.333...[/tex]

Answer:

Step-by-step explanation:

And Answer: The 2 after the 0 is the tens. The 1 is the thousands(before the 0)

Step-by-step explanation:

Answer:

0.001

Step-by-step explanation:

We are given that

Suppose you have the probability of winning with a scratch -off lottery ticket,P(A) =[tex]\frac{1}{10}[/tex]

Probability:It is defined as the possibility of an event that is occurred or not.

It is obtained by dividing  the number of favourable cases with total number of cases.

The formula of finding out the probability of an event

P(E)=[tex]\frac{Number\;of\;favourable\; cases}{Total\;number\;of\;cases}[/tex]

We have to find the probability of winning 3 lottery

The probability of winning all three tickets,[tex]P(A AA)=P(A)\cdotP(A)\cdotP(A)[/tex]

Therefore, the probability of winning all 3 lottery =[tex]\frac{1}{10}\times \frac{1}{10}\times \frac{1}{10}[/tex]

The probability of winning all three tickets,P(A AA)=[tex]\frac{1}{1000}[/tex]

The probability of winning all three tickets,P(A AA)

=0.001

Answer:0.001

Answer:

6.1

Step-by-step explanation:

If we are rounding at the 0 digit, we look at the next digit, which is 9

9 >= 5 so we need to round  the 0 up to 1

6.099 rounds to 6.1

Answer:

6.1 is your answer

Step-by-step explanation:

The underlined digit (the tenth place) is 0. Look at the number in the place value directly right to it (hundredth place). It is a 9. Because 9 is greater than 5, round up.

6.099 rounded to the nearest tenth place is 6.1

~

Answer:

0.4

Step-by-step explanation:

-1/5 = -2/10 = -0.2, -1/4 = -25/100 = -0.25

-0.25-(-1/5)+0.2+(-1/4) = -0.25+0.2+0.2+0.25 = -0.25+0.25+0.2+0.2 = 0.4

Answer:

0.0016

Step-by-step explanation:

Answer: 10

Plug in the given x values and see which result is the largest

Plug in x = 0 ---> x^2+1 = 0^2 + 1 = 1

Plug in x = 1 ----> x^2 + 1 = 1^2 + 1 = 2

Plug in x = 2 ----> x^2 + 1 = 2^2 + 1 = 5

Plug in x = 3 ---> x^2 + 1 = 3^2 + 1 = 10

The range is therefore {1, 2, 5, 10} which is just the set of possible outputs.

We see that y = f(x) = 10 is the largest output of the range if the domain is restricted to the set {0, 1, 2, 3}

Answer:

 x=0 and y=2

Step-by-step explanation:

We have been given system of equations:

2x+5y=10     (1)

And 2x+3y=6     (2)

Subtract equation (2) from(1) we get:

2y=4

y=2

Now, substitute y=2 in equation(2) we get:

2x+3(2)=6

2x+6=6

2x=0

x=0

Hence, x=0 and y=2

If I understand the question corrects it’s asking which numbers work in the inequality so you just plug in each number where x is.

B and D