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Stels [109]
2 years ago
10

Mrs.Anderson writes a check for 10.50 to each of her four nieces. What will be the total change in Mrs.Andersons checking accoun

t balance after all four checks are cashed?
Mathematics
1 answer:
frez [133]2 years ago
5 0

Answer:

-42

Step-by-step explanation:

Since she is handing them equally to her four nieces, then she has to do 10.50 x 4

= 42 since they are asking how much checks were cashed, the answer will be negative so therefore the answer is $-42

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Two children, Ferdinand and Isabella, are playing with a water hose on a sunny summer day. Isabella is holding the hose in her h
wolverine [178]

Answer:

 f = 0.84 or 84%

Step-by-step explanation:

Given:

- Original constant velocity of water v_o = 3.5 m/s

- The original diameter of the hose opening d_o = 1.5 cm

- The total vertical distance y(f) = 1.0 m

- The total range x(f) = 10.0 m

Find:

What fraction of the original area does Isabella has to reduce or pinch so the water can cover the entire range.

Solution:

- We will assume the flow of water as a stream of particles that follow a path of single point.

- Using second kinematic equation in the vertical direction and compute the time it takes the water to reach the ground:

                                  y(t) = y(0) + v_y*t + 0.5*gt^2

Where, y(0) = v_y = 0,

                                  1.0 = 0.5*g*t^2

                                  t = sqrt ( 2*1 / 9.81 )

                                  t = 0.4515 s

- Now we will use the second equation of motion for the x- direction motion:

                                 x(t) = x(0) + v_x*t

Where, x(0) = 0,

                                 10 = 0 + v_x*(0.4515)

                                 v_x = 10 / 0.4515 = 22.1 m/s

- We have calculated the minimum velocity required to reach the range from isabella and ferdinand.

- We will use the continuity equation to compute the area required for the velocity calculated v_x = 22.1 m/s:

                                A_f*v_x = A_o*v_o

                                A_f = A_o*v_o / v_x

                                A_f = pi*0.015^2*3.5 / 4*22.1

                                A_f = 1.12 * 10^-4 m^2

- The fraction f of the reduction of area is:

                                f = (A_o - A_f) / A_o

                                f = (7.068*10^-8 - 1.12*10^-4) / (7.068*10^-8)

                               f = 0.84 or 84%

4 0
3 years ago
Find the quotient. 48j5k2 ÷ (-3j3k)
Sindrei [870]

Answer:

-16j²k

Step-by-step explanation:

3 0
3 years ago
Consider this function: f(x) = -4x + 7. Which polynomial is equivalent to f(f(x))? A. 16x – 28 B. 16x2 – 56x + 49 C. 16x – 21 D.
Temka [501]

Answer:

The answer is :

C. 16x - 21

5 0
2 years ago
HELP 20 POINTS!
Butoxors [25]
For the first blank where it asks for the perimeter, the perimeter is all the outside sides of a shape added up. So, 6 + 1 + 2 + 4 + 4 + 5 = 22.

For the second blank, you just multiply the entire perimeter by 5, so, 22 times 5=110.

For the third blank, it is basically the same as the previous question. The answer is 5.

For the fourth blank, it is the same perimeter as the first blank, but instead of centimeters, it is in k. So, 22k.

Hope this helped! :)
4 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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