A car with a mass of 1,250 kg travels at 2.24 m/s and bumps into a stopped car with a mass of 1,300 kg. After the collision, the two cars stick together and move forward. How fast will they both move forward? Round your answer to two decimal places.

0.57 m/s

0.55 m/s

1.10 m/s

1.14 m/s

Answer:

10/9

Step-by-step explanation:

the question would be 9x - 8 = 2

which simplified you would get  9x = 10

dividing 9 from both sides would leave you with 10/9 in fraction form

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

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:

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.

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Answer:

12/20    21/35    30/50

Step-by-step explanation:

These are all equivalent fractions to 3/5.

Hope this helps!

The fractions that are equivalent to 3/5 are C) 12/20, D) 21/35, and E) 30/50.

To determine which fractions are equivalent to 3/5, we need to find fractions that can be simplified to the same value.

The fraction 3/5 cannot be simplified further because 3 and 5 have no common factors other than 1.

Let's check each option:

A) 8/10 can be simplified to 4/5, which is not equivalent to 3/5.

B) 8/15 cannot be simplified further, but it is not equal to 3/5.

C) 12/20 can be simplified to 3/5, which is equivalent to 3/5.

D) 21/35 can be simplified to 3/5, which is equivalent to 3/5.

E) 30/50 can be simplified to 3/5, which is equivalent to 3/5.

Therefore, the fractions that are equivalent to 3/5 are C) 12/20, D) 21/35, and E) 30/50.

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Answer:

1) 2/3

2) y= 2x+4

Step-by-step explanation:

For number one, use the formula [tex]\frac{(y_{2}-y_{1} ) }{(x_{2}-x_{1} ) }[/tex].

Insert the given coordinates into the formula.

7-1/10-1= 6/9

Simplify 6/9.

6/9÷3= 2/3

For the second one, I used desmos calculator.

Hope this helps! :)

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:

I am doing great!

Step-by-step explanation:

Answer:

hello im doing good

Step-by-step explanation:

Answer:

4.5      Hope this helps

Step-by-step explanation:

Answer: 4.5

Step-by-step explanation: edge. 2022

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:

k< -16

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:

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'

Answer:

The probability of an impossible event is 0. The probability of a possible event is 1.

Step-by-step explanation:

I don't know if this is correct but I do hope this helps either way.

Hope that this model helps!!

Answer:

256fraction=1/4

256÷4=64

64 answer this fraction

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:

1.3027

Step-by-step explanation:

Answer:

8.550

Step-by-step explanation:

Answer:

x • 3x = 74

Step-by-step explanation:

Answer:

its D ;D

Step-by-step explanation:

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:

Step-by-step explanation:

Hope it helps

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:

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

Step-by-step explanation:

I hope this helps!

Answer:

percentage formula

Step-by-step explanation:

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