A tank is 1/2 filled with water. some of the water is then poured into 8 small containers each with a capacity of 27 cubic centimeters. the tank is now 1.4 full. what is the capacity of the tank.

Answer:

-2

Step-by-step explanation:

Given that;

f(x) = x² -2x

and g(x) = 6x + 4

(f + g)(x) = x²-2x+6x+4

:- x² +4x + 4 = 0

x² +2x +2x + 4 = 0

x(x + 2)+2(x + 2) = 0

(x + 2)(x + 2) = 0

:- x = -2

Answer:

Step-by-step explanation:

Remark

First take a look at A. It is a pretty good idea always to write the formula you are using before you begin a solution and go step by step from the formula. Also write your givens. I know it sounds like a lot of work. It really isn't. You are creating a habit.

Givens

n = 8

Sn = ?

d = -6

a = 90

Formula

S8 = a + (n - 1)*d

Solution

s8 = 90 + (8-1)*-6

s8 = 90 + 7 * -6

S8 = 80 - 42

S8 = 38

Part B

Here's where the formula is your friend. Let's suppose it is. Then solve for n. If we get an integer for the term number, then all is well. If we don't, and we get some kind of fraction, then 5 is not a member of the sequence.

Givens

Sn = 5

n = ?

d = -6

Formula

Sn = a + (n - 1)*d

Solution

5 = 90 + (n - 1)*-6                    Subtract 90 from sides

5-90 =90-90 +(n - 1)*-6          Combine    

-85 = (n -1)*-6                          Divide by - 6

-85/-6 = (n - 1)-6/-6

14 1/6 = n - 1                            Add 1 to both sides

14 1/6 +1 = n - 1 + 1                  Combine

15 1/6 = n

But a fraction is not permitted. So 5 is not a member of the sequence

Answer: Heyaa! :)

Your Answer Is.. (3w+7)² Or is 1 depending on if u want the GCF (GFC means to.. Find the prime factors of each term in order to find the greatest common factor (GCF).

Step-by-step explanation:

Factor using the perfect square rule.

Step-by-step explanation:

9w²+42w+49

since this is in (a-b)² form

3²w²+2*3w*7+7²

(3w+7)²

Answer:

x ≥ - 89

Step-by-step explanation:

−51 ≤ x + 38

Step 1: Flip the equation.

Step 2: Subtract 38 from both sides.

Answer:

C) 15, 20, 25

Step-by-step explanation:

If you plug this in pythagorean theorem, it works. The others don't.

The two co-captians can be chosen in 21 different ways.

If the two co-capitans are equivalent, then we need to find combinations.

So we want to find how many combinations of 2 elements we can make out of a set of 7 elements.

This is given by:

[tex]C(7, 2) = \frac{7!}{(7 - 2)!*2!} = \frac{7*6}{2} = 21[/tex]

So the two co-captians can be chosen in 21 different ways.

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Answer:

your answer is N = {xxx: =9n

Answer:

hey its fine but just add one more line in the between somewhere because it should be total 12 sectors and you have only 11.

Step-by-step explanation:

check the pic for reference

Answer:

I think it should be good =D

Step-by-step explanation:

Answer:

I think it's 21.26%

Step-by-step explanation:

tip: 34.29-27=7.29$

the percent tip: (7.29×100)/34.29=21.26 (approximately)

Answer:

7/24

Step-by-step explanation:

The total amount of unshaded area of shape B is the sum of the areas of the unshaded regions of shapes A and B.

Unshaded area in A: 1 - 2/3 = 1/3

Unshaded area in C: 1 - 5/8 = 3/8

Sum of unshaded areas of A and B: 1/3 + 3/8 = 8/24 + 9/24 = 17/24

Shaded area of B: 1 - 17/24 = 24/24 - 17/24 = 7/24

Answer:

.0013

Step-by-step explanation:

8 hours is 3 standard deviations BELOW the mean   z-score = -3

  from z scor table , tis corresponds to .0013

Answer:

Second choice

Step-by-step explanation:

This is a circle with center at   0,0

 radius = sqrt 100 = 10

Step-by-step explanation:

the answer is b 5 according to the graph

5x²-20

5(x²-4)

hope it helps...!!!

The probability of the spinner landing only once on yellow in two spins is P = 0.375

All the possible outcomes have the same probability, so, the probability that in two spins the spinner land only once in yellow is given by the quotient between the number of outcomes that have only one yellow and the total number of outcomes.

All the outcomes are:

{RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}

16 in total.

The ones where the spinner lands only once on yellow are:

{RY, BY, YB, YG, GY, YR}

6 outcomes.

So the probability is:

P = 6/16 = 0.375

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Answer:C

Step-by-step explanation:

Answer: I'm a fourth grader Here's my answer One degree

I hope This helps and yes It will make sense because Each on line is one degree and I got A test And it was right Any questions just type In the comments

Answer:

Step-by-step explanation:

You could do it either way, but I have attached an image with one way to do it.

Then, using the exterior angle theorem, you can do:

(180-4x) + 100 = 3x

280 - 4x = 3x

280 = 7x

x = 40

From there, don't forget to plug in the numbers if you need to do so :)

Answer:

C. -2(9 + 32n)

Step-by-step explanation:

-2(9 + 32n)

= -2*9 - 2*32n

= (-18) - 64n.

Answer:

Use the pythagorean theorem.

[tex]a^2 + b^2 = c^2[/tex]

The length of one leg, a is 11, and the length of the hypotenuse, the longest side (or c) is 17. Substitute

[tex]11^2 + b^2 = 17^2 \\121 + b^2 = 289\\[/tex]

Subtract 121 from both sides to isolate B

[tex]b^2 + 121 - 121 = 289 - 121\\b^2 = 168[/tex]

Take the square root of both sides to isolate b

[tex]\sqrt{b^2} =\sqrt{168} \\b = 12.961[/tex]

Answer:

the value of x=9 and AB(h)=9.396

Answer:

S (- 9, - 8 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here the endpoints are R (- 11, - 12 ) and T (- 7, - 4 ) , then

midpoint = ( [tex]\frac{-11-7}{2}[/tex] , [tex]\frac{-12-4}{2}[/tex] ) = ( [tex]\frac{-18}{2}[/tex] , [tex]\frac{-16}{2}[/tex] ) = (- 9, - 8 )

The quadratic regression equation is y = -0.02x^2 + 2x - 6

The table of values is given as:

speed (mph) 45 55 65 75

fuel (mpg) 43 45 38 32

Next, we determine the regression equation using a graphing calculator (see attachment)

From the graphing calculator, we have:

a = -0.02, b = 2 and c = -6

A quadratic regression is represented as:

y = ax^2 +bx + c

So, we have:

y = -0.02x^2 + 2x - 6

Hence, the quadratic regression equation is y = -0.02x^2 + 2x - 6

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Answer:

∠ A = 140° , ∠ B = 30° , ∠ C = 10°

Step-by-step explanation:

the sum of the 3 interior angles = 180°

sum the given angles and equate to 180

x - 5 + 2x + 140 = 180

3x + 135 = 180 ( subtract 135 from both sides )

3x = 45 ( divide both sides by 3 )

x = 15

then

∠ A = 140°

∠ B = 2x = 2 × 15 = 30°

∠ C = x - 5 = 15 - 5 = 10°

Answer:

Step-by-step explanation:

Find the measures of the interior angles of the triangle.

180 = 140 + 2x + x - 5

40 + 5 = 3x

45 = 3x

x = 45 : 3

x = 15°

-----------------------

check

180 = 140 + 2 * 15 + 15 - 5

180 = 180

the answer is good

---------------------------

Find the angles

140° = angle A

2x = 15 * 2

2x = 30° (angle B)

x - 5 = 15 - 5

x = 10° (  angle C)

-----------------------

check

140 + 30 + 10 = 180°

the answer is good

The probability of drawing a head card of diamonds and then a head card of hearts is:

P = 0.003

Here we assume that we have a deck of 52 cards, and we want to find:

P(Head, Diamond AND Head, Heart)

This is the probability of drawing a head of diamonds and then a head of hearts.

Remember that for each suit has 3 head cards, J, Q, and K.

Then for the first card, the probability of getting a head of diamonds is equal to the quotient between the number of cards with these properties (3) and the total number of cards (52).

P = 3/52

Then we need to draw a head of hearts, the probability is computed in the same way, but before we drew a card, so now the total number of cards is 51, so we get:

Q = 3/51

Then the joint probability is:

p = (3/52)*(3/51) = 0.003

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Answer:

7 + 7 = 14

you have 7 apples and add 7 more thats 14

Step-by-step explanation:

the answer is B, D and F. I hope this was helpful

Answer:

The derivative of that function is 3x.

The domain of f(x) = x∈ℝ

The domain of f(x) is also x∈ℝ

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

First, you have to find the change in the sides you know the numbers of. 21/3 is 7, so it's being increased/decreased by 7 units. Now, just divide 14 by 7 to get your answer (2).

Hope this helps!