Evaluate: 2^-4 =

a 1/8
b -8
c -16
d 1/16

Answer:

Wyzant

ALGEBRA WORD PROBLEM

Dorian S. asked • 06/28/17

THREE LINEAR EQUATIONS WITH THREE VARIABLES

A chemist has three different acid solutions. The first acid solution contains 15% acid, the second contains 25%,

and the third contains 70%. He wants to use all three solutions to obtain a mixture of 40 liters containing 45%

acid, using 2 times as much of the 70% solution as the 25% solution. How many liters of each solution should be used?

How to set up as three linear equations to find the answer?

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Arthur D. answered • 06/28/17

TUTOR 4.9 (67)

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set up 2 equations

the first equation...

15%*x+25%*y+70%*2y=45%*40

0.15x+0.25y+1.4y=0.45*40

0.15x+1.65y=18

multiply all terms by 100

15x+165y=1800

divide all terms by 15

x+11y=120

the second equation...

x+y+2y=40

x+3y=40

x=40-3y

substitute into the first equation x+11y=120

40-3y+11y=120

40+8y=120

8y=120-40

8y=80

y=80/8

y=10 liters

x+3*10=40

x+30=40

x=40-30

x=10 liters

10 liters of 15%, 10 liters of 25%, and 20 liters of 70%

check:

10*15%=1.5

10*25%=2.5

20*70%=14

1.5+2.5+14=18

18/40=9/20=45/100=45%

45%*40=18

hope it helps

please mark brainliest

Answer:

[tex] \frac{6}{6 - 2} = \frac{6}{4} = \frac{3}{2} [/tex]

Answer:

[tex] \rm \rightharpoonup \: f(x) = \frac{x}{x - 2} \\ \rm \rightharpoonup \: f(6) = \frac{6}{6 - 2} \\ \rm \rightharpoonup \: \frac{6}{4} \\ \rm \rightharpoonup \: \frac{3}{2} [/tex]

Answer:

730

Step-by-step explanation:

2x365=730

Answer:

The answer is A

Step-by-step explanation:

"The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9" is correct edg 2021

The correct statement is "The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9".

In rough terminologies, the limit from one side is when we only use one side of the function with respect to the considered point of interest (in input) to predict the value of the function at that point.

For a limit of a function f(x) to exist at a point a,

[tex]\lim_{x \to a^-} f(x) = \lim_{x \to a^+} f(x)[/tex]

That is, it has to approach (a) from both sides toward the same value, thus it cannot be oscillating.

From the table, looking at the value of slightly less than 9,

[tex]\lim_{x \to 9^-} f(x)= 4.73[/tex]

Looking at the value of slightly more than 9,

[tex]\lim_{x \to 9^+} f(x) = -4.73[/tex]

Since the lateral limits are different, the limit does not exist.

The correct statement is "The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9".

Learn more about limits;

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Answer:

One Solution (C)

Step-by-step explanation:

This is one solution because they only intersect once. No solution=no intersect  2 solution=intersect twice   infinite solutions= same line

Answer:

2 and 3  

Step-by-step explanation:

2) If two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides. 

side ratio:  1/4-------   area ratio: 1²/4²  =  1/16   = 1:16 ratio

3)If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.

The ratio of the perimeters is the same as the scale factor.

 scale 1:4

Answer:

b²-5

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

Answer:

The is is 8.25 or 8 1/4.

Step-by-step explanation:

Just divide 33 by 4 to get your answer.

Answer:

5'9 ft

Step-by-step explanation:

He was built different

Answer:

V = 168 km³

Step-by-step explanation:

We are given a triangle prism.

Volume of a triangle prism = ½*a*c*h

Where,

a = 8 km

c = 6 km

h = 7 km

Substitute

V = ½*8*6*7

V = 4*6*7

V = 168 km³

Answer: The scatterplot shows a positive correlation because the values of y increase as the values of x increase.

Which of the following is the best approximation of the correlation coefficient for the data displayed in the scatterplot? 0.5

Answer:

The scatterplot shows a positive correlation because the values of y increase as the values of x increase.

Which of the following is the best approximation of the correlation coefficient for the data displayed in the scatterplot? 0.5

Step-by-step explanation:

I hope that helps!!!!!!!!!!

Answer:

Solution given

r=1ft

π=3.14

now

Volume of sphere=⁴/3 πr³=⁴/3×3.14×1³=4.186ft³

=4ft³

Answer:

x = 5

Step-by-step explanation:

Use the inverse variation equation, y = k/x

Plug in 7 as x and 15 as y, then solve for k:

y = k/x

15 = k/7

105 = k

So, the equation is y = 105/x

Find x when y = 21 by plugging in 21 as y:

y = 105/x

21 = 105/x

21x = 105

x = 5

So, when y = 21, x = 5

Answer:

second choice is the answer or it can be

The correct answer is option B.

"A function [tex]f(x)[/tex] is an odd function when [tex]f(-x)=-f(x)[/tex] ."

For given question,

Consider points A and B on the coordinate plane as shown in following image.

Let, line segment OA makes an angle of [tex]\theta[/tex] with x-axis and ∠COB = [tex]-\theta[/tex]

So, the coordinates of points on unit circle with radius 'r' would be, A[tex](cos \theta, sin\theta)[/tex] and B[tex](cos(-\theta),sin(-\theta) )[/tex]

Let, AC = y, BC = -y and OC = m

Now, consider sine function

[tex]sin\theta=\frac{AC}{OA}\\[/tex]

⇒[tex]sin\theta=\frac{y}{r}[/tex]                        ........................(1)

And, [tex]sin(-\theta)=\frac{BC}{OB}[/tex]

⇒ [tex]sin(-\theta)=\frac{-y}{r}[/tex]

⇒ [tex]sin(-\theta)=-(\frac{y}{r})[/tex]             .......................(2)

⇒ [tex]sin(-\theta)=-sin\theta[/tex]             ......................(From (1) and (2))

Now, consider cosine function

[tex]cos\theta=\frac{OC}{OA}[/tex]

⇒ [tex]cos\theta=\frac{m}{r}[/tex]                           ...........................(3)

And, [tex]cos(-\theta)=\frac{OC}{OB}[/tex]

⇒ [tex]cos(-\theta)=\frac{m}{r}[/tex]                      ...........................(4)

⇒ [tex]cos(-\theta)=cos\theta[/tex]                   ...........................(From (3), (4))

Hence, sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).

Therefore, the correct answer is option B.

Learn more about odd function here,

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tan( 20 ) + 4 Sin( 20 ) =

( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =

Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =

Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =

Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =

Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =

Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =

________________________________

2 × Cos( 30 + 20 ) =

2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =

2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =

√3 Cos(20) - Sin(20)

_________________________________

Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =

Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =

Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =

0 + √3 Cos(20) / Cos(20) =

√3 Cos(20) / Cos(20) =

Cos(20) simplifies from the numerator and denominator of fraction

√3 × 1 / 1 =

√3

And we're done ....

Answer:

1/12

Step-by-step explanation:

Given the following :

Actual height of pyramid = 24 ft

Dimension of scaled model :

Height = 2ft ; width = 1ft

a scale factor is a number used to reproduce a reduced dimension of a model by multiplying the actual dimeznsion or size of the model or object.

Since the height is of the scaled model is less than the actual height of the pyramid ; then it could be said that the scale factor is a fraction, because reduction has occurred.

(Height of scaled model / height of actual pyramid)

(2ft / 24ft) = 1/12

9514 1404 393

Answer:

  x = 0, x = 3

Step-by-step explanation:

It appears your equations are intended to be ...

  f(x) = (7/3)x -3

  g(x) = 2^x -4

These are the equations that are graphed in your second attachment. The graphs cross at x=0 and x=3.

The solutions to f(x) = g(x) are x ∈ {0, 3}.

Answer:

24

Step-by-step explanation:

( - 4 ) x ( - 6 ) = 24

24 is the answer.

Answer:

1, 2, 3, 6, 9, 18

Step-by-step explanation:

The picture demonstrates the greenhouse effect because all the grass within the rectangle is green. This is due to the fact that it received the nutrients it required. Carbon dioxide molecules provide the initial greenhouse heating needed to maintain water vapor concentrations. When carbon dioxide concentrations drop, Earth cools, some water vapor falls out of the atmosphere, and the greenhouse warming caused by water vapor drops.

Answer:

28 because 116÷4=29 so she traveled 28 miles per hour

Answer:

Sarah drove 29 miles per hour.

Step-by-step explanation:

116 divided by 4 is 29.

Answer: where's the heights?

Step-by-step explanation:

Step-by-step explanation:

X+3X+90=360

4X+90=360

4X=360-90

4X=270

270÷4=67.5

X=67.5 degrees

Answer:

The unit of measure used in the study is "inches"