Which of the following examples has a unit rate of 12 yards per second? Select all that apply.

A) 48 yards in 8 seconds
B) 36 yards in 3 seconds
C) 144 yards in 12 seconds
D) 36 yards in 6 seconds
E) 60 yards in 5 seconds

Answer:

x=54

Step-by-step explanation:

these two angles are supplementary to each other. this is because alternate interior angles are congruent, and 2x+42 degrees is supplementary to the alternate interior angle of x-24 degrees. so, we can add these two numbers up and set it equal to 180.

2x+42+x-24=180

3x+18=180

3x=162

x=54

if this question is asking for x, 54 is the answer. if it is asking for the angle measures, plug in 54 for x for each angle and solve.

Answer:

Step-by-step explanation:

-1292 + (-2508)

= - 3800

Answer:

k< -16

Step-by-step explanation:

Answer:

256fraction=1/4

256÷4=64

64 answer this fraction

Answer:

  29°

Step-by-step explanation:

Let x represent the first angle. Then the second angle is 2x, and the third angle is 2x+35°. The sum of the angles is 180°, so we have ...

  x + 2x + (2x+35) = 180

  5x +35 = 180 . . . . collect terms

  x +7 = 36 . . . . . . . divide by 5

  x = 29 . . . . . . . . . . subtract 7

The first angle is 29°.

Answer:

I am doing great!

Step-by-step explanation:

Answer:

hello im doing good

Step-by-step explanation:

Answer:

in you question there is the ans hibben

Step-by-step explanation:

x^2+3x+5=0 =a+ bi

Answer:

All horizontal lines are NOT parallel.

Step-by-step explanation:

We learned that lines go on forever.  

If one line is slightly slanted, and the other line is completely straight,  these lines are not parallel, as they will meet at some point.

Hope this helped :)

Answer:

x= 12

Step-by-step explanation:

I got it right on edge

Answer:

percentage formula

Step-by-step explanation:

if it is 68% on 97.65 dollar the 97.68x 68%/100

If you need the answer in fraction form, then it would be 77/5

This is equivalent to the mixed number 15 & 2/5

======================================================

Work Shown:

y = k*x ..... general direct proportion equation

44 = k*240 .... plug in x = 240 and y = 44

240k = 44

k = 44/240

k = 11/60 .... divide both parts by 4

y = k*x   .... go back to the general form

y = (11/60)x .... plug in the k value we found earlier

y = (11/60)*84 .... plug in x = 84

y = 15.4

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

Extra info:

15.4 = 15 + 0.4

15.4 = 15 + 4/10

15.4 = 15 + 2/5

15.4 = 15 & 2/5 .... mixed number form

and

15.4 = 15 + 2/5

15.4 = 75/5 + 2/5

15.4 = (75+2)/5

15.4 = 77/5 ... improper fraction

Answer: Choice A

m = undefined

point (-2,5)

==================================================

Explanation:

The equation x = -2 describes a vertical line in which every point on this line has x coordinate -2. Two points on this line are (-2,0) and (-2,1)

Another point on this line is (-2,5) since this also has x coordinate -2.

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

All vertical lines have undefined slope.

Let's pick two points such as (-2,0) and (-2,1) and find the slope through them

m = (y2-y1)/(x2-x1)

m = (1-0)/(-2-(-2))

m = (1-0)/(-2+2)

m = 1/0

m = undefined, since we cannot divide by zero.

Answer:

1.3027

Step-by-step explanation:

Answer:

11370  sachet

Step-by-step explanation:

Answer:

11370 sachets

Step-by-step explanation:

Given parameters:

 Capacity of one sachet of pure water = 500ml = 500 x 10⁻³L

Unknown:

Number of sachet of pure water needed to fill a barrel of 5685liters + /

Solution;

To find the number of sachet;

  500 x 10⁻³L will fill one sachet of pure water;

For 5685 liters, we would require  y sachet of pure water ;

    500 x 10⁻³y  = 5685

         0.5y = 5685

               y = [tex]\frac{5685}{0.5}[/tex]  = 11370 sachets

Answer:

OLUME OF A BOX, CUBE, OR CYLINDER V l w = h where l = the length w = the width, and h = the height of the figure 13 6 8 V = 6. Page 1. VOLUME OF A BOX, CUBE, OR CYLINDER. The concept of volume holds great practical importance.

Step-by-step explanation:

Answer:

I think it's C

Step-by-step explanation:

I just rotated point K 180 degrees and C was the only one with the coordinate points I got for K'

Using the given definition, for [tex]f(x)=\frac1{\sqrt x}+x[/tex], we have

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\left(\frac1{\sqrt{x+h}}+x+h\right)-\left(\frac1{\sqrt x}+x\right)}h[/tex]

Right away, we see x and -x in the numerator, so we can drop those terms.

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\frac1{\sqrt{x+h}}+h-\frac1{\sqrt x}}h[/tex]

Remember that limits distribute over sums, i.e.

[tex]\displaystyle\lim_{x\to c}(f(x)+g(x))=\lim_{x\to c}f(x)+\lim_{x\to c}g(x)[/tex]

so we can separate the h from everything else in the numerator:

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\frac1{\sqrt{x+h}}-\frac1{\sqrt x}}h+\lim_{h\to0}\frac hh[/tex]

Since h ≠ 0, we have [tex]\frac hh=1[/tex], so the second limit is simply 1.

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{\frac1{\sqrt{x+h}}-\frac1{\sqrt x}}h+1[/tex]

For the remaining limit, focus on the numerator for now. Combine the fractions in the numerator:

[tex]\dfrac1{\sqrt{x+h}}-\dfrac1{\sqrt x}=\dfrac{\sqrt x-\sqrt{x+h}}{\sqrt x\sqrt{x+h}}[/tex]

Recall the difference of squares identity,

[tex]a^2-b^2=(a-b)(a+b)[/tex]

Let [tex]a=\sqrt x[/tex] and [tex]b=\sqrt{x+h}[/tex]. Multiply the numerator and denominator by [tex](a+b)[/tex], so that the numerator can be condensed using the identity above.

[tex]\dfrac{\sqrt x-\sqrt{x+h}}{\sqrt x\sqrt{x+h}}\cdot\dfrac{\sqrt x+\sqrt{x+h}}{\sqrt x+\sqrt{x+h}}[/tex]

[tex]=\dfrac{(\sqrt x)^2-(\sqrt{x+h})^2}{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}[/tex]

[tex]=\dfrac{x-(x+h)}{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}[/tex]

[tex]=-\dfrac h{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}[/tex]

Back to the limit: all this rewriting tells us that

[tex]f'(x)=\displaystyle\lim_{h\to0}\frac{-\frac h{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}}h+1[/tex]

Again, the h's cancel, and we can pull out the factor of -1 from the numerator and simplify the fraction:

[tex]f'(x)=\displaystyle-\lim_{h\to0}\frac1{\sqrt x\sqrt{x+h}(\sqrt x+\sqrt{x+h})}+1[/tex]

The remaining expression is continuous at h = 0, so we can evaluate the limit by substituting directly:

[tex]f'(x)=-\dfrac1{\sqrt x\sqrt{x+0}(\sqrt x+\sqrt{x+0})}+1[/tex]

[tex]f'(x)=-\dfrac1{2x\sqrt x}+1[/tex]

or, if we write [tex]\sqrt x=x^{1/2}[/tex], we get

[tex]f'(x)=-\dfrac12x^{-3/2}+1[/tex]

Answer:

x • 3x = 74

Step-by-step explanation:

Answer:

its D ;D

Step-by-step explanation:

the answer is B -- no matter the x factor y should be single

Answer:

1024

Step-by-step explanation:

4⁵ is 4 multiplied 5 times.

4⁵ = 4 · 4 · 4 · 4 · 4

16 · 4 · 4 · 4

64 · 4 · 4

256 · 4

1024

Answer:

[tex]\frac{1265}{36}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

They will make 1 triangle the lines will keep going until they meet

From the given triangle only one triangle can be made.

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

Given that the unformed triangle is given in the image.

The triangle can be made by extending the hypotenuse and the perpendicular line to intersect each other at the point. Only one triangle can be formed by doing so.

To know more about geometry follow

https://brainly.com/question/29285656

#SPJ2

Answer:

Step-by-step explanation:

Hope it helps

Answer:

8.550

Step-by-step explanation:

Hope that this model helps!!