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Answer:

a) 98m

b) 2m/s

Step-by-step explanation:

a) 2+4+6+8+10(8) = 98m

b) a = change/time = 8m/4s = 2m/s

not completely sure about a) so pls double check that <//3

good luck and hope this helped a bit!

The correct answers for the given problem are: (a) The distance travelled on the cycle in the first 14 seconds is 96 m and (b)The acceleration in the first 4 seconds is 2 m/s².

The area under a graph can be found by dividing the graph into equal intervals of very small width and then find the area of the rectangle for each intervals. After summing all the areas of rectangles the area under the graph can be approximated.

The velocity time graph given in the problem can be used to find the distance travelled.

The distance travelled in first 14 seconds is equal to the area of the graph from t = 0 to t = 14.

This area consists of a triangle of height h = 8 and base b = 4 and a rectangle of length l = 8 and width b = (14 - 4) = 10.

Now, the total area is given as,

1/2 × b × h + l × b

= 1/2 × 4 × 8 + 8 × 10

= 16 + 80

= 96

(b) The acceleration is given as the rate change of velocity with respect to time.

The acceleration in first 4 seconds is given as,

a = (8 - 0)/4

   = 2

Hence, the distance travelled in first 14 seconds and acceleration in first 4 seconds is given as 96 m and 2 m/s² respectively.

To know more about area of a graph click on,

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Answer:

1111235.252

Step-by-step explanation:

Answer:

5  2/3 you can't convert it to a fraction of the answer would be 17/3 because nothing can be done.

Step-by-step explanation:

Answer:

a=−b−2x+5/x

Step-by-step explanation:

Step 1: Flip the equation.

ax+b+4=−2x+9

Step 2: Add -b to both sides.

ax+b+4+−b=−2x+9+−b

ax+4=−b−2x+9

Step 3: Add -4 to both sides.

ax+4+−4=−b−2x+9+−4

ax=−b−2x+5

Step 4: Divide both sides by x.

ax/x=−b−2x+5/x

a=−b−2x+5/x

Answer:

Not a function

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

1.  50

2.  40

3.  55

4.  39

5.  40

6.  92

Answer:

1. 60 deg

2. 40 deg

3. 65 deg

4. 39 deg

5. 60 deg

6. 88 deg

Step-by-step explanation:

hope this helps

Answer:

You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!

Step-by-step explanation:

Answer:

3/25

Step-by-step explanation:

trust me its right

Answer: 3 /25

is already in the simplest form. It can be written as 0.12 in decimal form (rounded to 6 decimal places).

Answer:

x=8°

y= 96°

z= 96°

Step-by-step explanation:

Solve for z first. The whole circle is 360° so if you only count half the angles it will add up to 180°.

Solve for z:

48+36+z=180°

84+z+180°

z=96°

Now that you have z you can solve for x by using only the bottom half of the circle.

z+36+6x=180° *remember z=96

96+36+6x=180

132+6x=180

6x=48

x=8°

Now you can solve for y by either plugging x into an equation or by knowing that opposite angles are equal.

y=96°

Answer:

[tex]T_n = 7.143(0.7^n)[/tex]

Step-by-step explanation:

If a ball bounces to a height of 5feet, the initial drop = 5feet

If the ball rebounds to 70% of its previous height after each bounce, the next height after rebouncing will be expressed as;

= 70% of 5

= 70/100 * 5

= 0.7*5

= 3.5 feet

The next height will be 0.7*3.75 = 2.45 and so on

The  heights wil form a sequence as thus;

5, 3.5, 2.45...

This sequence forms a geometric progression.

To get the function that could be used to model the nth term in the sequence of heights of the ball after the initial drop, w will find the nth term of the sequence

[tex]T_n = ar^{n-1}[/tex]

a is the first term of the sequence

n is the number of terms

r is the common ratio

From the sequence:

a = 5

[tex]r = \frac{3.5}{5} = \frac{2.75}{3.5} = 0.7[/tex]

Substitute the given values into the formula

[tex]T_n = 5(0.7)^{n-1}\\T_n = 5(\frac{0.7^n}{0.7^1} )\\T_n = \frac{5}{0.7}\times 0.7^n \\T_n = 7.143(0.7^n)[/tex]

The nth tern=m required is [tex]T_n = 7.143(0.7^n)[/tex]

i dont know ethrreer

Step-by-step explanation:

Answer:

Step-by-step explanation:The distributive property dictates that:

a(b + c) = ab + ac

Thus,

(0.7 x 0.7) + (0.7 x 0.9) + (0.7 x 0.2)

= 0.7(0.7 + 0.9 + 0.2)

follows the distributive property. The third option is correct.

Answer:the y-intercept will be when y=0. the answer will be the x value that corresponds with y=0.

Step-by-step explanation:

Answer/explanation:

Given:

m<8 = 23°

a. m<1 = 180° - m<8 (corresponding angles theorem and supplementary angles theorem)

m<1 = 180 - 23 = 157°

b. m<2 + m<1 = 180° (linear pair)

m<2 + 157° = 180°

m<2 = 180° - 153° = 23°

c. m<3 = m<1 (vertical angles are congruent)

m<3 = 157°

d. m<4 = m<2 (vertical angles are congruent)

m<4 = 23°

e. m<5 = m<1 (corresponding angles)

m<5 = 157°

f. m<6 = m<8 (vertical angles are congruent)

m<6 = 23°

g. m<7 = m<5 (vertical angles are congruent)

m<7 = 157°

Answer:

PLease

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

55°

Step-by-step explanation:

Given parameters:

      Angles in the triangle;

                   70°, X° and X°

The triangle is an isosceles triangle;

  In all triangles, the sum of the interior angles is 180°

  So;

            70° + X° + X° = 180°

            70° + 2X° = 180°

                      2X°  = 180° - 70°

                      2X° = 110°

                        X°  = [tex]\frac{110}{2}[/tex]  = 55°

y = -2x + 3

y = -x + 10

y = 4x + 10

y = 3/2x - 2

y = -1/2x - 1

y = x + 5

y = 25x + 5

y = .99x + 1.99

y = x - 2

y = -1.50 + 1.50

y = 42x + 27

y = -1/3x - 2

now i am in my phone can see the photo

sometimes in the computer don't appear the picture

Answer:

2

Step-by-step explanation:

9-7=2

Answer:

x = 2

Step-by-step explanation:

Subtract 7 from both sides.

[tex]x+7=9\\\\x+7-7=9-7\\\\\boxed{x=2}[/tex]

Hope this helps.

Answer:

9 complete cans

Step-by-step explanation:

50/6=8 remainder of 2

8 is not enough, they need 9                         o                                                                                          

Answer:it should be B

Step-by-step explanation:both of the graphs are the same which means we can cross out A and C. it cant continue without going negative

Answer:

what do you mean

Step-by-step explanation:

Answer: towel: 3.60 ; washcloth: 1.50

Step-by-step: X represents the number of towels. Y represents the number of washcloths.

8x + 4y = 34.80

12x + 8y = 55.20

16x + 8y = 69.60

4x = 14.40

x = 3.60

y = 1.50

Answer:

V = 300π or 942.477

Step-by-step explanation:

Volume of a cylinder= π*r^2*h

Plug in.

V = π*5^2*12

V= π*25*12

V = 300π or 942.477

[tex]5 \times {10}^{9} \times 7 \times {10}^{5} = [/tex]

[tex]35 \times {10}^{14} = [/tex]

[tex]3.5 \times 10 \times {10}^{14} = [/tex]

[tex]3.5 \times {10}^{15} [/tex]

And we're done....

♥️♥️♥️♥️♥️

Answer: 5x+4+2

Step-by-step explanation:

5x-1(-4+2)

multiply the -1 by the -4 and 2

5x+4+2

Answer:

The volume, in cubic feet, of the larger rectangular prism is 64 cubic feet

Step-by-step explanation:

Length of small cube =[tex]\frac{1}{2} ft[/tex]

Volume of each cube = Side^3

Volume of each cube =[tex](\frac{1}{2})^3[/tex]

                                    =[tex]\frac{1}{8} ft^3[/tex]

Volume of 64 cubes = [tex]64 \times \frac{1}{8}[/tex]

Volume of 64 cubes [tex]= 8 ft^3[/tex]

We are given that He uses all the cubes to fill a box shaped like a larger rectangular prism.

So, Volume of 64 cubes = Volume of rectangular prism

So, If there are 64 of these cubes in the larger prism, then the volume, in cubic feet, of the larger rectangular prism is 64 cubic feet