factor completely: 90v + 40

Answer:

If you both have 1M subs then its the same, not one person has more

Answer:

Step-by-step explanation:

The given expression is

[tex]36,700 - (5,000 + 500m)=0[/tex]

Where [tex]m[/tex] is months.

We need to solve for the variable.

[tex]36,700-5,000-500m=0\\31,700=500m\\m=\frac{31700}{500} \approx 63.4[/tex]

Therefore, Michael needs to save $63.40, approximately.

Answer:

The number representing describing the value of his signing bonus = 5,000.

Step-by-step explanation:

Total debt = $36,700

He pays $500 every month from his monthly salaries, since m = months.

The $5,000 is the amount of his signing bonus, which puts entirely towards paying off his debt.

It is like the fixed payment.  While the 500m is the variable payment per month.

So, at the end of any number of months, you can easily calculate the remaining debt using the expression, 36,700 - (5,000 + 500m)

Answer: The answer is 29, because that 29 would be the outlier of the numbers.

Step-by-step explanation:

Answer:

(x - 5) (x - 7)

Step-by-step explanation:

To factor this trinomial, you must split the middle term (-12x) into two terms that can be added to get -12x, and multiplied to get 35:

[tex]x^2[/tex] - 12x + 35

[tex]x^2[/tex] -7x - 5x + 35

Group:

([tex]x^2[/tex] -7x) (-5x + 35)

Take out the GCF (Greatest Common Factor):

x(x - 7)  -5(x - 7)

(x - 5) (x - 7)

Answer:

the answer is D

Step-by-step explanation:

x^2-12x+35=x^2-7x-5x+35=x*(x-7)-5(x-7)=(x-7)(x-5)

Answer:

As shown in the picture, the volume of solid is

V = Rectangular prism - half cylinder

Hope this helps!

:)

Answer:

Last option

Step-by-step explanation:

It's a cuboid/rectangular prism

The curve on top is due to half a cylinder being removed

1. Exponential

2. Linear

3. Exponential

Answer:

Step-by-step explanation:

This problem is a composition of function defined by C(V(r)), now we have the functions [tex]V(r)= \pi r^{3}[/tex] and [tex]C(V)=3.2V[/tex], where the first depends on the radius, and the second dependes on the volume, that means, to find the number of ounce of coffe, we need to determine the volume of the cylinder, that's why we have to replace the volume function inside the ounces function,

[tex]C(V(r))=3.2(\pi r^{3} )[/tex]

Therefore, the right answer is the last choice.

Answer:

A. 8 1/4 * 11 1/2 * 14=1328 1/4 ft^2

OR

8 1/4 height times 11 1/2 width times 14 in length equals 1328 1/4 feet squared

B. 8 1/4 * 14 1/2 * 14=1674 3/4

OR

8 1/4 height times 11 1/2 width plus 3 so 14 1/2 width times 14 equals 1674 3/4 feet squared

Step-by-step explanation:

Answer:

about 27.42

Step-by-step explanation:

Answer:

Step-by-step explanation:

The tangent function is undefined at odd multiples of π/2. It can take on any value.

The domain is all real numbers except odd multiples of π/2.

The range is all real numbers.

Answer: it’s b

Step-by-step explanation:

edge

Answer:

4

Step-by-step explanation:

1+1+1+1 or 2 + 2

Apple exist in the world. This particular tree only have 4 perfect apples total. Because you only have one friend, they help you pick 2 out of the 4 apples. Then you pick 2 of the other apple. Without dropping or eating them, he gave both of his apple to you . How many apple do you have without dropping or eating them?

Answer:

4

Step-by-step explanation:

Each student will take=320/64

=5

So the answer is 5.

Hope it will be helpful to you...

✧◝(⁰▿⁰)◜✧

Answer:

a) H0 : u = 28.5%

H1 : u < 28.5%

b) critical value = - 1.645

c) test statistic Z= - 1.41

d) Fail to reject H0

e) There is not enough evidence to support the professor's claim.

Step-by-step explanation:

Given:

P = 28.5% ≈ 0.285

X = 210

n = 800

[tex] p' = \frac{X}{n} = \frac{210}{800} = 0.2625 [/tex]

Level of significance = 0.05

a) The null and alternative hypotheses are:

H0 : u = 28.5%

H1 : u < 28.5%

b) Given a 0.05 significance level.

This is a left tailed test.

The critical value =

[tex] -Z_0.05 = -1.645 [/tex]

The critical value = -1.645

c) Calculating the test statistic, we have:

[tex]Z = \frac{p' - P}{\sqrt{\frac{P(1-P)}{n}}}[/tex]

[tex]Z = \frac{0.2625 - 0.285}{\sqrt{\frac{28.5(1-28.5)}{800}}}[/tex]

Z = -1.41

d) Decision:

We fail to reject null hypothesis H0, since Z = -1.41 is not in the rejection region, <1.645

e) There is not enough evidence to support the professor's claim that the proportion of obese male teenagers decreased.

Answer:

[tex]c = \frac{A}{12h} - b[/tex]

Step-by-step explanation:

Okay, so the goal is to isolate c on one side with all the other terms on the other side. So, let's start by dividing both sides with 12h. After we do that, we will be left with [tex]\frac{A}{12h} = b+c[/tex]. Now, we can subtract both sides by b, and we will be left with [tex]\frac{A}{12h} - b = c[/tex]. Yay! We've now isolated c and that is our final answer!

Hope this helped! :)

Answer:28.26

Step-by-step explanation:

Φ=180 since it's in a straight line

Radius=r=9

π=3.14

Length of arc=Φ/360 x 2 x π x r

Length of arc=180/360 x 2 x 3.14 x 9

Length of arc=0.5 x 2 x 3.14 x 9

Length of arc=28.26

Answer:

so 1/4 of a circle is 90 degrees 1/4 is equal to 90 over 360 C it's 90 parts of 360. so here we go with this one. this angle is 20 degrees remember that's 90 alright the square one and this little part would be 20 degrees each angle appears wider as the Rays get longer.

Step-by-step explanation:

Let me know if this help's you lol :)

Answer:

Sum of all the sides.

Step-by-step explanation:

Perimeter is the sum of the distance in length or width, or height or circumference of all the sides of an object.

Therefore the sum total of the given sides V, W, x ,Y, Z are;

15 +20 + 25 + 7 + 22 = 89cm

Since a picture isn't available to know which sides of the objects can be added.

Answer:

81

Step-by-step explanation:

replace x with 9 so it's 9x9 which is 81

Answer:

g(9) = 81

Step-by-step explanation:

g(x) = 9x

g(9) = 9(9) = 81

Answer:

(32, 42)

Step-by-step explanation:

Answer:

(32,42)

Step-by-step explanation:

Answer:

1/13

Step-by-step explanation:

there are 4 kings in a deck of 52 cards.

4/52 = 1/13

Answer:

D,E

Step-by-step explanation:

hope I helped

Answer:

Terry made $14 selling cookies.

Step-by-step explanation:

[tex]67-53=14[/tex]

Answer:

$14

Step-by-step explanation:

She made $14 selling cookies.

$67-$53=$14

Answer:

[tex]Z = 3.33[/tex]

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 13, \sigma = 1.2[/tex]

You listen to the radio station for 1​ hour, at a randomly selected​ time, and carefully observe that the amount of advertising time is equal to 17 minutes. Calculate the​ z-score for this amount of advertising time.

We have to find Z when X = 17. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{17 - 13}{1.2}[/tex]

[tex]Z = 3.33[/tex]

Answer:

ZX = 3√2, XY =√10, YZ = 4, Perimeter of ΔXYZ  = 14√5 units

Step-by-step explanation:

1. We can see that if we were to draw an altitude from vertex X to side ZY of this triangle, the length of this altitude would be: 3 units

2. The length of ZX can be determined through Pythagorean Theorem. If this altitude were to be called XW, it would be one of the legs of a mini triangle ZXW, along with leg ZW. ZW clearly = 3, thus ZX^2 = 3^2 + 3^2 = 18, and ZX =  √18 units = 3√2.

3. The same thing can be applied to another "mini" triangle YXW. This triangle would have legs XW (altitude of the triangle ZXY) and YW. Knowing XW to have a length of 3 units, and YW to have length of 1 unit ⇒ XY^2 = XW^2 + YW^2 = 3^2 + 1^2, and XY = √10.

4. YZ is visualized to have a length of 4 units.

5. Knowing that ZX = 3√2, XY =√10, and YZ = 4 ⇒ Perimeter of ΔXYZ = ZX + XY + YZ = 3√2 + √10 + 4 = 14√5 units. To simplify this, it would be that the Perimeter of ΔXYZ  = 14√5 units

Answer:-11 proved

Step-by-step explanation:

5(x+2)-3=4(x-1)

Open brackets

5x+10-3=4x-4

Collect like terms

5x-4x=-4+3-10

x=-11

Answer:

x = 5      x = -2

Step-by-step explanation:

y = x^2 – 3x – 10

Set the equation equal to zero

0= x^2 – 3x – 10

Factor

What 2 numbers multiply to -10 and add to -3

-5 *2 = -10

-5+2 = -3

0=(x-5) ( x+2)

Using the zero product property

x-5 = 0    x+2 = 0

x = 5      x = -2

Answer:

-2 and 5

Step-by-step explanation:

trust

Answer:

Volume is increased in a factor of 8. The volume is increased from [tex]48\,ft^{3}[/tex] to [tex]384\,ft^{3}[/tex].

Step-by-step explanation:

The formula for the volume of the rectangular prism is:

[tex]V = w\cdot h \cdot l[/tex]

Where:

[tex]w[/tex] - Width

[tex]h[/tex] - Height

[tex]l[/tex] - Length

If dimensions are doubled, then volume is increased in a factor of 8:

[tex]V_{f} = (2\cdot w)\cdot (2\cdot h)\cdot (2\cdot l)[/tex]

[tex]V_{f} = 8\cdot w \cdot h \cdot l[/tex]

[tex]V_{f} = 8 \cdot V_{o}[/tex]

The volume is increased from [tex]48\,ft^{3}[/tex] to [tex]384\,ft^{3}[/tex].

Hey there! I'm happy to help out!

As you can see, our number keeps on doubling. It's like 2×2×2×2.... so on and so forth. Whenever we multiply a number by itself, we can model it as an exponent, so if we had 2², it is two twos being multiplied, and 2×2=4. If it was 2³, it would be 2×2×2=8.

However, we have a one. This signifies a starting point and exponents have our back. Anything to the 0th power is always equal to one! So, this situation would look something like this:

[tex]2^0, 2^1, 2^2, 2^3,2^4,... etc.[/tex]

So, for the second square, we are going to the first power. For the fourth square it's going to the third power. Therefore, the 10th square will be the 9th power!

[tex]2^9=[/tex] 2×2×2×2×2×2×2×2×2= 512

However, we want to find how much he has done in total! So, let's find how much he did on the other squares!

[tex]2^8[/tex]= 256

[tex]2^7[/tex]=128

[tex]2^6[/tex]=64

[tex]2^5[/tex]=32

[tex]2^4[/tex]=16

2³=8

2²=4

[tex]2^1[/tex]=2

[tex]2^0[/tex]=1

Now, we add these all up to find the total grains of rice!

512+256+64+32+16+8+4+2+1=895

Therefore, George has placed a total of 895 grains of rice on the chess board.

I hope that this helps! Have a wonderful day!

Once George has put rice on the 10th square, he has placed a total of 1023 grains of rice on the chessboard.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

We have,

On the first square, George placed 1 grain of rice.

On the second square, he placed 2 grains.

On the third square, he placed 4 grains.

On the fourth square, he placed 8 grains.

In general, on the nth square, he places [tex]2^{n-1}[/tex] grains.

So,

On the first 10 squares,

1 + 2 + 4 + 8 + ... + [tex]2^9[/tex]

This is a geometric series with a first term of 1 and a common ratio of 2.

The sum of the first n terms of a geometric series.

[tex]S_n[/tex] =[tex]a(1 - r^n) / (1 - r)[/tex]

where a is the first term, r is the common ratio, and n is the number of terms.

Substituting the values,

[tex]S_{10}[/tex] = 1(1 - 2^10) / (1 - 2)

    = 1(1 - 1024) / (-1)

    = 1023

Therefore,

Once George has put rice on the 10th square, he has placed a total of 1023 grains of rice on the chessboard.

Learn more about geometric sequence here:

https://brainly.com/question/2321576

#SPJ7

Answer:

  Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

Both expressions are linear expressions. It takes 2 points to define a line. If the lines defined by each expression go through the same two points, then the expressions are equivalent.

If the expressions have the same value for two different variable values, they are equivalent. (choice D)

_____

Additional comment

One more point is needed than the degree of the polynomial expression. That is, quadratic (degree 2) expressions will be equivalent if they go through the same 2+1 = 3 points.

Answer:

3 √ 13

Step-by-step explanation:

Answer:

3√13

Step-by-step explanation:

We want to find the distance between these two points. To do so, we need to use the distance formula which states that the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is:

d = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

Here, [tex]x_1=-1,x_2=8,y_1=0[/tex], and [tex]y_2=6[/tex]. So:

d = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

d = [tex]\sqrt{(-1-8)^2+(0-6)^2}=\sqrt{(-9)^2+(-6)^2} =\sqrt{81+36} =\sqrt{117} =3\sqrt{13}[/tex]

Thus, the answer is 3√13.

~ an aesthetics lover