Choose the right answer.



Which year had a decrease in profit between months 3 and 4?
Last year
This year

Answer:

[tex](1)7n^2\\(2)3n^2\\(3) 1[/tex]

Step-by-step explanation:

(1) [tex]14n^2, 35n^4[/tex]

[tex]14n^2=2 X 7 X n^2\\35n^4=5 X 7 Xn^2Xn^2\\$Therefore, the GCF of 14n^2$ and 35n^4$ is 7Xn^2=7n^2[/tex]

(2)[tex]21n^3, 18n^2[/tex]

[tex]21n^3=3 X 7 X n^2 X n\\18n^2 =3 X 6 X n^2\\$Therefore, the GCF of 21n^3$ and 18n^2$ is 3Xn^2=3n^2[/tex]

(3) [tex]7n^2, 9[/tex]

The two terms are co-prime. Therefore their GCF is 1.

Answer: the answer is 4

Step-by-step explanation:

3(2−x)=−6

Step 1: Simplify both sides of the equation.

3(2−x)=−6

(3)(2)+(3)(−x)=−6(Distribute)

6+−3x=−6

−3x+6=−6

Step 2: Subtract 6 from both sides.

−3x+6−6=−6−6

−3x=−12

Step 3: Divide both sides by -3.

−3x

−3

=

−12

−3

x=4

Answer:

x=4

Answer:

c.

Step-by-step explanation:

10.98/2=5.49

16.19/3=5.40

21.15/4=5.29

26.85/5=5.37

Answer:

For the great pyramid of Cheops, V + F = E + 2 gives 5 + 5 = 8 + 2 which proves Euler-Descartes formula

Step-by-step explanation:

The great pyramid of Cheops is a square based pyramid therefore we have;

V + F = E + 2

Where:

V = Vertices

F = Faces

E = Edges

Hence, we have for a square pyramid;

V = 5 vertices (One at the peak, and four  at the base edges)

F = 5 faces (The four lateral or side faces and the base)

E = 8 edges ( The four lateral edges and the four base edges)

Hence;

5 + 5 = 8 + 2 which proves Euler-Descartes formula.

Answer:

Step-by-step explanation:

1 in=2 ft

Bedroom 1

scale

17.5 in ×12.5in

actual

(17.5×2)×(12.5×2)

or

35 ft×25 ft

Living Room

scale

17.5 in×17.5 in

actual

35 ft×35 ft

Bathroom 1

scale

12.5 in×12.5 in

actual

25 ft×25 ft

Kitchen

scale

17.5 in ×12.5 in

actual

35 ft×35 ft

Bedroom2

scale

12.5 in ×12.5 in

actual

25 ft×25 ft

Entryway

scale

12.5 in×12.5 in

actual

25 ft×25 ft

Bathroom 2

scale

12.5 in×5 in

actual

25 ft×10 ft

Answer:

All of the above

Step-by-step explanation:

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. Since, they all have a degree of 1 they are all polynomials.

Answer:

[tex]P(A) = \dfrac{1}{4}\\P(B) = \dfrac{1}{13}\\P(A \cap B) = \dfrac{1}{52}\\P(A/B) = \dfrac{1}{4}\\P(A/B) = P(A)\\[/tex]

A and B are not independent events.

Step-by-step explanation:

Total number of possibilities is 52 (Total number of cards in the deck).

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

For event A, number of cases possible for a card to be diamond = 13

[tex]P(A) = \dfrac{13}{52} \\\Rightarrow P(A) = \dfrac{1}{4}[/tex]

For event B, number of cases possible for a card to be a king = 4

[tex]P(B) = \dfrac{4}{52} \\\Rightarrow P(B) = \dfrac{1}{13}[/tex]

For the event, [tex]A \cap B[/tex], the card is a king and diamond, only one case is possible.

Because there is only one card for king of diamond.

[tex]P(A \cap B) = \dfrac{1}{52}[/tex]

Formula for P(A/B):

[tex]P(A/B) = \dfrac{P(A \cap B)}{P(B)}[/tex]

[tex]\Rightarrow \dfrac{\dfrac{1}{52}}{\dfrac{1}{13}}\\\Rightarrow \dfrac{1}{4}[/tex]

Yes, P(A) is same as P(A/B).

Here, A and B are not independent events because they have a common case i.e. a king is there which is of diamond in the deck.

Answer:

1/4

1/13

1/52

Yes, events a and b are independent events

Answer:

I don't understand.......

Answer:

first B,second A, third C on edg

Step-by-step explanation:

Answer:

answer is D

Step-by-step explanation:

Answer:

I dont know it this is the answer u r looking for but out of everything on the list, brazil has 2.2222222222222 percent

Answer:

3.9%  

Step-by-step explanation:

add up all the Olympic medals =485

Brazil = 19

to get the rank of Brazil 19/ 485 =0.039175..... multiply by 100 to get %

Answer:

4/5

Step-by-step explanation:

8/10=4/5

Answer:

x^2 - 24x + 144

Step-by-step explanation:

24/2(1)= 24/2= 12

(12)^2= 144

Answer:

24 cm²

Step-by-step explanation:

The area (A) is calculated as

A = [tex]\frac{1}{2}[/tex] product of the diagonals, that is

A = 0.5 × 6 × 8 = 24 cm²

Answer:

$68.44 will be the total bill.

Step-by-step explanation:

18/100 = .18

58 x .18 = 10.44

58 + 10.44 = 68.44

:)

Answer:

It would be 68.44

Step-by-step explanation:

What you do is you multiply 58 by .18. it should come out to 10.44. Once you do that, you add the $58 dollar check with the 10.44 tip and the answer is 68.44!!

Answer:

11.3

Step-by-step explanation:

i used the theorem of Pythagoras

Answer:

11.3

Step-by-step explanation:

In a right angled triangle:  the square of the hypotenuse is equal to

the sum of the squares of the other two sides.

[tex]8^{2} + 8^{2} = x^{2}[/tex] (x is the hypotenuse)

64 + 64 = [tex]x^{2}[/tex]

[tex]x^{2}[/tex] = 128

=> x = [tex]\sqrt{128}[/tex] = 11.3137085 = 11.3

Answer:

see below

Step-by-step explanation:

distance = rate * time

meters Edgar ran= e*t

meters Mathieu ran = m*t

Difference in meters per second is the difference in rates= m-e

Number of seconds = time = t

Answer:

this took like forever but there u go

Step-by-step explanation:

distance = rate * time

meters Edgar ran= e*t

meters Mathieu ran = m*t

Difference in meters per second is the difference in rates= m-e

Number of seconds = time = t

Answer:

c

Step-by-step explanation:

Answer:

399,876

Step-by-step explanation:

So, 400,000 DVD sales with a 31% decline means in the first year following, there will be a decline of 124,000 DVDs sold. So we need to take 400,000-124,000 which equals a starting point for your two is 276,000 dvds. Then, add 123,876, which gives you 399,876.

Answer:

36

Step-by-step explanation:

reverse the number

Answer:

c = 5

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = 25

c^2 = 25

sqrt of 25 = 5

c= 5

Answer:

c=5

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

plug it into a calculator. its taking 7 away from an already negative number.

Answer:

-8 correct me if im wrong

Step-by-step explanation:

Answer:

The slope is 2

Step-by-step explanation:

Y = mx+b y = mx+b is the shape of the slope-intercept where m is the slope.

Answer:

Slope = 2

Step-by-step explanation:

y=mx+b, in which m is the slope. Whatever number is paired with x is the slope.

Answer:

B because 5/6 is roughly .83, which is bigger than .8

Step-by-step explanation:

Answer:

b. 1/5

Step-by-step explanation:

10/50 = 1/5

c is the lowest range

a has the highest y incerpt

d is the best value

Answer:

I know I'm 10 days late on this, but the answer is 1.5

Step-by-step explanation:

1. Add 3+7+4+2:

[tex]3+7+4+2=16[/tex]

2. Divide it by 4 because we have 4 numbers being added:

[tex]\frac{16}{4} =4[/tex]

3. Subtract 4 from all numbers:

[tex]4-3=1, 7-4=3, 4-4=0,4-2=2[/tex]

4. Add the differences:

[tex]1+3+0+2=6[/tex]

5. Divide again by 4:

[tex]\frac{6}{4} =1.5[/tex]

Answer:

6 and 3/4

Step-by-step explanation:

add all of the ones before 2 1/2

Answer: this is the right answer y = 90x + 120

Step-by-step explanation:

Answer:

$1,875

Step-by-step explanation:

$15.00 per hour (multiply by hours)

per technician (multiply by technicians)

so: 15x25=375 then 375x5=1,875

Answer:

$1875

Step-by-step explanation:

First, let's find how many hours the technicians worked

She has 5 technicians, and the each worked 25 hours

We can multiply 5 and 25 to find the total number of hours

5*25=125

Now we know that the technicians worked 125 hours altogether. Now, we need to find how much money that is.

They worked 125 hours, and they are paid $15 per hour

We can multiply 125 and 15 to find the cost

125*15=1875

So, Dr. Barber will pay the technicians $1875 in total

Answer:

Option A,$320.98  is correct

Step-by-step explanation:

The new balance on Elijah's credit is the sum of the last balance plus new charges minus payments made.

last balance as shown by the statement was $152.58

new charges were $213.40

payment made by Elijah was  $45

new balance=$152.58+$213.40-$45=$320.98

The rationale for this is that the new charges on the card account add to previous balance owed by Elijah while the payment of $45 made reduces overall balance.

Answer:

Other answer is incorrect. Elijah's new balance would be $322.59

Your welcome.