Solve for w.

14 + 3(–w + 6) = –11w

w =

Answer:

You need 14 cups of water for 6 scoops of drink mix  since it is simply double the amount of scoops

Step-by-step explanation:

(1) 7 cups water/ 3 scoops mix=7/3

(2) x cups water/6 scoops mix=x/6

(3) 7/3=x/6

(4) 42/3=x

Answer:

The exponential function is that of decay

The percentage decrease is by 3%

Step-by-step explanation:

The exponential equation we are considering is;

y = 550(0.97)^x

Now to know if it’s decay or growth, we shall be considering what we have in the bracket

Mathematically, we can express 0.97 as follows

0.97 = 1-0.03

So what does this means? There is a decrease in subsequent values from one value of y to another.

This means that the equation is for decay as what the term raised to an exponent is less than 1.

Now we want to determine the percentage rate of increase or decrease

What we need to do is to represent the 0.03 difference in fraction

That would be 3/100

So this means that the percentage decrease is by 3%

Answer: Option D: R = {3, 9, 12}

Step-by-step explanation:

The range of a function is the set of the possible outputs of a function:

if we have the function f(x) = y, the values of x are the domain, and the values of y are the range.

In the image, the set at the right is the output, so the set in the right is the range.

such that we have the pairs (-2,3) (2, 3) (3, 9) (4, 12)

So the range will be R = {3, 9, 12}

Answer:

Step-by-step explanation:

Answer:

When x = 1 or -1.

Step-by-step explanation:

When the denominator x^2-1 is zero the expression is undefined.

So the values of x cannot be  1  or -1.

Answer:

The height equation is:

h(t)=-16t^2 +100t+10

A) To find the maximum height, we must find the time where the velocity is 0, so we must derive it with respect to the time.

v(t) = -2*16*t + 100 = 0

       t = 100/(2*16) = 3.125s

Now we put this time in our height equation:

h(3.125s) = -16*3.125^2 + 100*3.125 + 10 = 166.25 ft.

B) The lowest heigth of the potato will be h = 0ft, when the potato hits the ground.

C) the lowest time that works for that function is t = 0s, when the potato is fired by the gun.

D) the maximum time can be finded when the potato hits the ground, afther that point the equation does not work anymore, let's find it,

h(t) = 0 = -16t^2 +100t+10

we can solve it using Bhaskara's equation:

[tex]t = \frac{-100 +- \sqrt{100^2 +4*16*10} }{-2*16} = \frac{-100 +- 103.2}{-32}[/tex]

So the two solutions are:

t = 6.3s

t = -0.1s

We need to chose the positive time, as we already discused that the minimum time that works for the equation is t = 0s.

so here the answer is t = 6.3s

E) the domain is  0s ≤ t ≤ 6.3s

The range is 0ft ≤ h ≤ 166.25 ft.

Answer:

cosΘ = [tex]\frac{9}{15}[/tex]

Step-by-step explanation:

cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{9}{15}[/tex]

The exact of the trigonometric function associated with the right triangle is cos θ = 3 / 5.

In this question we have a right triangle, whose all side lengths are known and the exact value of a trigonometric function (cosine function) associated with an angle must be found:

cos θ = x / r

Where:

If we know that x = 9 and r = 15, then the exact value of the trigonometric function is:

cos θ = 9 / 15

cos θ = 3 / 5

To learn more on trigonometric functions: https://brainly.com/question/25618616

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Answer:

A closed cone has 0 verticals.. but 1 vertice

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

I'm not 100% but 90%

It is true that the triangles shown in the diagram are congruent triangles.

Two triangles are considered to be congruent triangles if two triangles have similar sizes and shapes. This implies that two triangles are defined to be congruent if the lengths of their individual sides and angles are the same.

The angle-angle-side (AAS) theorem states that when two angles and any side of a triangle are identical to two angles and any side of some other triangle, then the triangles are considered to be congruent triangles.

Therefore, since these assertions are true of the triangles given, we can conclude that the two triangles are congruent triangles.

Learn more about congruent triangles here:

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Answer:

c

Step-by-step explanation:

I think this is right

Answer:

XY = 7.3

Step-by-step explanation:

             ?                        5.2

X ------------------------Y---------------Z

|<----------------12.5------------------->|

XZ = 12.5

YZ = 5.2

XY + 5.2 = 12.5

XY = 12.5 - 5.2

XY = 7.3

Answer:

B. 2

Step-by-step explanation:

f(2) means the value of y when x = 2.

Look in the graph. Start at (0, 0), which is the point where the x-axis and the y-axis intersect. Now go 2 units to the right. That is where x = 2. Go up from there until you get to the red curve and stop. Now look to the left to see at what y-value you are. It is 2 on the y-axis. Since at x = 2, y = 2, then

f(2) = 2

Answer:

alternate exterior angles

Step-by-step explanation:

so are 2 & 8

Answer:

a

Step-by-step explanation:

it can be solved

Answer:

C.

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

If you subtract 6 dollars from 50, you’ll get 44. 44 minus 12 three times is equal to 8

Answer:

$12

Step-by-step explanation:50-6

50-6-3(x)=8

44-3x=8

-3x=8-44

3x=36

36/3=12

Answer:

Step-by-step explanation:

y = mx + c

y = 5x - 7

Slope m = 5

y-intercept c = -7

Answer:

m = 5

c = -7

Step-by-step explanation:

the formula for a line is mx+c where m is the gradient and c is the intercept.

In this case:

m = 5

c = -7

Hope this helps

Good Luck

Answer:   last choice

In general if we have first term a[1] and common difference d, such that

a[n] = a[n-1] + d

then the explicit formula is

a[n] = a[1] + d(n-1)

First choice has d=-4 so needs a minus sign in the explicit formula.

Second choice has a=-100 so needs a negative sign for the 100.

Third choice swaps a[1] and d, oops.

IT IS D!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

[tex] \boxed{z = 3} [/tex]

Step-by-step explanation:

[tex] = > - 8z + 17 = - 13 + 2z \\ \\ = > - 8z - 2z + 17 = - 13 \\ \\ = > - 10z + 17 = - 13 \\ \\ = > - 10z = - 13 - 17 \\ \\ = > \cancel{-} 10z = \cancel{-} 30 \\ \\ = > 10z = 30 \\ \\ = > z = \frac{30}{10} \\ \\ = > z = 3[/tex]

Answer:

z = 3

Step-by-step explanation:

→Add 8z to both sides:

-8z + 17 = -13 + 2z

17 = -13 + 10z

→Add 13 to both sides:

30 = 10z

→Divide both sides by 10:

3 = z

Answer:

The answer is 10

Step-by-step explanation:

The answer is 10 because you asked how long it would take for them to work altogether,3hrs + 7hrs is 10hrs

Answer:

-24+4v

Step-by-step explanation:

8v-24-12v

-24+4v

Answer: yes 3/5 equal to 60/100

Step-by-step explanation:

The answer is it is because if you do

5 times 20 its 100

and 3 times 20 is 60

so what you do to the bottom you do to the top

so the answer is yes 3/5 equal to 60/100

Hope this helps :)

Answer:

Yes

Step-by-step explanation:

[tex]\frac{3}{5} and \frac{60}{100}[/tex] are equivalent fractions. Equivalent fractions are fractions that have the same value of decimal. so when you simplify 60/100 you will definitely get 3/5. And both of their's decimal is equal which is 0.6.

Answer:

a and b

Step-by-step explanation:

............. ...... ..

Answer:

The answer is B

Step-by-step explanation:

[tex]\frac{x}{4}=16\\\mathrm{Multiply\:both\:sides\:by\:}4\\\frac{4x}{4}=16\cdot \:4\\\mathrm{Simplify}\\x=64[/tex]

Answer:

x = -8

Step-by-step explanation:

4( 3x +5 ) - 3 = 9x -7

Distribute

12x +20 -3 = 9x -7

Combine like terms

12x+17 = 9x-7

Subtract 9x from each side

12x-9x +17 = 9x-9x-7

3x +17 = -7

Subtract 17 from each side

3x+17-17 = -7-17

3x = -24

Divide each side by 3

3x/3 = -24/3

x = -8

Answer: x= -8

Step-by-step explanation:

4 ( 3x + 5 ) - 3 = 9x - 7

12x + 20 - 3 = 9x - 7

12x + 17 = 9x - 7

subtract 9x from both sides

12x + 17 - 9x = -7

3x + 17 = -7

subtract 17 from both sides

3x= -7-17

3x= -24

divide both sides by 3

x= -24/3

simplify

x= -8

Answer:

D

Step-by-step explanation:

cannot be determined without side lengths

Answer:

Joel rolls two fair number cubes at the same time.

Each cube has six sides 1, 2, 3, 4, 5, 6

=> There are 6 x 6 = 36 possible pairs (or 36 possible sums)

The collection of pairs that have sum less than 4 includes (1, 2), (2, 1) and (1, 1) => 3 cases (*)

The sum that is odd when two cubes show one odd number and one even number. Therefore each side of first cube has 3 options from second cube to form an odd sum. => The total number of cases: 6 x 3 = 18  cases

In these 18 cases, there are two cases (1, 2) and (2, 1) which have been counted already at (*) => Total case that the sum of the numbers will be odd or less than 4: T = 3 + 18 - 2 = 19 cases

=> Probability that the sum of the numbers will be odd or less than 4:

P = 19/36 = 0.53

Hope this helps!

:)

Answer:

Opaca= 290kg   Llama=160kg

Step-by-step explanation:

x+y=450

3x=190+y

Answer:

8

Step-by-step explanation:

[tex] - 8 {x}^{2} + 24 \\ = 8( - {x}^{2} + 3) \\ [/tex]

Answer:

8

Step-by-step explanation:

-8(x^2-3)

Answer:

13.6

Step-by-step explanation:

The measure of the segment AQ is related to the measure of the segment A'Q by the dilation factor as follows:

dilation factor = A'Q/AQ

AQ = A'Q/dilation factor

Replacing with data:

AQ = 2.4/0.15 = 16

Then, the distance between points A and A' is

x = 16 - 2.4 = 13.6

Answer:

50j

Step-by-step explanation:

workdone = force x distance

workdone = 20x2.5

50j