which of the following numbers is a multiple of 4


A. 734

B. 620

C. 626

D. 891

Answer:

the answer is B

Step-by-step explanation:

Answer is B

The factor of the equation 4x² + 12x + 9 is 2x+3. Then the correct option is A.

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

The factor of the polynomial is calculated as:-

4x² + 12x + 9 = 4x² + 6x + 6x + 9

                     = 2x ( 2x + 3 ) + 3 ( 2x + 3 )

                     = (2x + 3)(2x + 3)

The factor is (2x + 3). Hence, the correct option is A.

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Answer:

5 years

Step-by-step explanation:

Divide 365 by 2000. The answer is 5.4794. Rounded to the nearest whole it is 5.

Answer:

5 years

Step-by-step explanation:

What we know:

- 2000 days passed (since each tick mark represents a day)

- One year has 365 days

Let [tex]x[/tex] represent the number of years that passed.

If each year has 365 days, 365 multiplied by the number of years that passed should equal 2000.

[tex]365x=2000[/tex]

Divide both sides by 365 to isolate x

[tex]\frac{365x}{365} =\frac{2000}{365}[/tex]

[tex]x[/tex] ≈ [tex]5[/tex]

Therefore, Peggy is 5 years old.

I hope this helps!

Answer:

-6, -4

Step-by-step explanation:

If you flip the shape over the Y axis you can see

Answer:

The correct anwser is 2x+5<4

Step-by-step explanation:

Answer:

you are in my class I need this too

Answer:

20 cm

Step-by-step explanation:

Using the Pythagorean theorem:

[tex](a^2)+(b^2)=(c^2)\\(12)^2+(16)^2=(c^2)\\144+256=c^2\\400=c^2[/tex]

[tex]\sqrt{x} 400=c^{2} \\c^2=20\\[/tex]

Answer:

20 centimeters

Step-by-step explanation:

to find the length of a use the pythagoran theorem.

A^2+B^2=C^2 with a and b being the legs.

Plug in the numbers 12^2+16^2=c^2

Solve

c=20

Answer:

Answer

Step-by-step explanation:

1/4

Answer:

108 votes

Step-by-step explanation:

There were 180 votes in the election and Jordan received 10% of them.

180 × 0.10 = 18

Jordan received 18 votes the first time. This year, he received 6 times as many votes.

18 × 6 = 108

Jordan received 108 votes this year.

Hope that helps.

Answer:

Chicken nugget

Step-by-step explanation:

Answer:

a}[tex]P_1= 0.3[/tex]

b)[tex]P_2 =0.45[/tex]

c) NOT INDEPENDENT

Step-by-step explanation:

From the question we are told that

Sample space

Math majors are 3

computer science majors are 3

Generally the sample space is

Mathematically the sample space required on Monday is given as  [tex]S_m= 3c_1 * 3C_2[/tex]

where [tex]S_m[/tex] =sample space on Monday

Therefore,

[tex]P_1[/tex] = [tex]\frac{3C_1 *3C_2}{6C_3}[/tex]

[tex]P_1=\frac{3*3}{20}[/tex]

[tex]P_1=\frac{6}{20}[/tex]

b)

Generally the the equation is given as

[tex]P_2 =P(\frac{x \cap y}{y})[/tex]

where

x  is  selecting two math major and 1 computer science major on Monday

y is at leas one math major selected

[tex]P_2 =\frac{^3C_1*^3C_2}{^3C_1*^3C_2 + ^3C_2*^3C_1 +^3C_3*^3C_0}[/tex]

[tex]P_2 =\frac{3*3}{3*3 + 3*3 +^1*1}[/tex]

c)

Generally in representing independent events

[tex]P_3=p(x \cap y)[/tex]

=>[tex]p(x) * p(y)[/tex]

Mathematically

[tex]n(x)= ^3C_1 *^3C_2[/tex]

[tex]n(y)={^3C_1*^3C_2 + ^3C_2*^3C_1 +^3C_3*^3C_0}[/tex]

therefore

[tex]n(x \cap y) =^3C_1 *^3C_2[/tex]

This does not satisfy the two equations stated above therefore NOT INDEPENDENT

Step-by-step explanation:

5.1054 meters

I think you should round the number tho

Answer:

Dilation

Step-by-step explanation:

Given

Main function: f(x)

Resulting function: 5f(x)

Required

Which transformation exists between both functions

The general explanation is that:

When a function f(x) is multiplied by a constant k, the resulting function g(x) is a dilation of f(x).

Mathematically, if the following relationship exists between f(x) and g(x)

g(x) = k.f(x)

Then g(x) is a dilation of f(x) and k is the constant of proportionality or dilation ratio

In this case:

g(x) = 5f(x)

So, the transformation that answers the question is dilation.

Answer: vertical | stretch | left

Step-by-step explanation:

Answer:

6 hot dogs, 2 drinks

Step-by-step explanation:

let y = number of hot dogs

let x = number of drinks

system:

y = 3x

4.5y + 2.25x = 31.50   (standard form:  y = -1/2x + 7)

if you graph the system, lines intersect at (2, 6)

Answer:

y=1/3 x

y=-2x+14

(6,2)

6 hotdogs  and 2 drinks

Step-by-step explanation:

:)

Answer:

T=71 degrees

Step-by-step explanation:

180- 82º-27º=71º

you got this! lmk if you need any more help! <33

Answer:

Ok thats really cool thanks :)

Answer: Bottom left

5x5x5=125

The volume having 125 cubic, is a box which has dimensions,  5 feet, 5 feet, 5 feet. So Option D is correct

In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within a closed region of every three dimensional object.

Given that,

4 boxes having different different dimensions

1. 4 feet, 9 feet, 5 feet

2. 4 feet, 3 feet, 4 feet

3. 5 feet, 12 feet, 2 feet

4. 5 feet, 5 feet, 5 feet

lets calculate the volume for all the four boxes

V = 4 feet  × 9 feet  × 5 feet  = 180  feet³

V = 4 feet × 3 feet × 4 feet  = 48 feet³

V =  5 feet × 12 feet × 2 feet  = 120 feet³

V =  5 feet × 5 feet × 5 feet  = 125  feet³

Hence, the volume of box having dimension 5 feet, 5 feet, 5 feet is 125  feet³

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Answer:

-30, -24, 9, 16, 25

Answer:

30-, -24, 9, 16, 25

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

g=68 h=56 f=56

Step-by-step explanation:

g = 5x+18

h and f = 2x+36

5x+18+2x+36+2x+36=180

9x+90=180

9x=90

x=10

Answer:

y=70 degrees

Step-by-step explanation:

If 2 angles are complimentary, they add up to 90 degrees.

x+y=90 degrees

x=20 degrees

y=90-20 degrees

y=70 degrees

If that is wrong, try this. Let's say the questions gives us the fact that x is 20 degrees greater than y.

y=x

Substituting x for y, the equation is x+x+20=90

Since y is x, x would also be y, which is 35. then x+20 would be 55.

So y would be 35.

THE ANSWER WOULD BE 70 DEGREES, BUT IF THAT IS WRONG, DO THE SECOND ONE, WHICH IS 35

The options given don't correspond to the values in the question. The options are from another question where mean is 5.3 and the probability being looked for is for exactly 3 occurrences and 5 occurrences

Answer:

A) 0.6511

B) Poisson distribution

Step-by-step explanation:

We are given;

Mean: μ = 5.4 minutes

Now, we want to find the probability that there are more than 5 occurrences in ten minutes.

This will be written as;

P(x > 5) = 1 - P(x < 5)

P(x < 5) = P(x = 4) + P(x = 3) + P(x = 2) + P(x = 1) + P(x = 0)

We will use Poisson distribution for this. The formula is;

P(x) = [(e^(-μ)) × μ^(x)]/x!

P(0) = [(e^(-5.4)) × 5.4^(0)]/0! = 0.004517

P(1) = [(e^(-5.4)) × 5.4^(1)]/1! = 0.02439

P(2) = [(e^(-5.4)) × 5.4^(2)]/2! = 0.06585

P(3) = [(e^(-5.4)) × 5.4^(3)]/3! = 0.11853

P(4) = [(e^(-5.4)) × 5.4^(4)]/4! = 0.16

Thus;

P(x < 5) = 0.16 + 0.11853 + 0.06585 + 0.004517 = 0.3489

Thus;

P(x > 5) = 1 - P(x < 5) = 1 - 0.3489 = 0.6511

B) like seen from solution A above, we used Poisson distribution formula.

Thus, random variable x satisfies Poisson distribution

try c im sorry if im wrong i tried

Answer:

2:30pm

I hope this helps :)

Answer:

32,063.06

Step-by-step explanation:

the formula for compound interest: [tex]A = P(1+\frac{r}{n})^{nt\\}[/tex]

so to use this you are essentially solving for a.

p is the principle (or initial) amount deposited.

r is the rate (in percent)

n is the number of time periods compounded (like annually, monthly, weekly, or daily)

t is the time period (in years)

In this instance the formula looks like: [tex]A = 30,000(1+\frac{0.03}{1})^{1*2.25}[/tex]

You then solve for A using the formula. It is important to remember to use the order of operations

Answer:

1/125

Step-by-step explanation:

[tex](5)^{-3}\\\\=\frac{1}{5^3}\\\\=\frac{1}{125}[/tex]

Answer: 15.4

Step-by-step explanation: First find the unit rate: 14/380=0.03684210526

Then multiply by the # of miles Josh needs to drive(Which is 418): 0.03684210526  times 418= 15.4

Answer:

2nd one

Step-by-step explanation: