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2 years ago

8

Penelope is saving up to buy a new bicycle. She already has $65 and can save an

1 answer:

alisha [4.7K]2 years ago

7 0

Answer:

she would have $85 in 4 weeks

Step-by-step explanation:

5*4=20

20+65=$85

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The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9

mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

<em>The height </em> $h(t)$ <em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em> $h(t) = 3 +90\cdot t -16\cdot t^{2}$ <em>, where </em> $t$ <em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

$3+90\cdot t -16\cdot t^{2} = 84$

$16\cdot t^{2}-90\cdot t +81 = 0$ (1)

By Quadratic Formula:

$t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}$

$t_{1} = 4.5\,s$ , $t_{2} = 1.125\,s$

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

3 0

3 years ago

Tonya is making a scale model of a monument that is 160 feet tall. If she uses a scale of 4 in. = 5 ft., how tall should she mak

olasank [31]

Answer:

<u>It should be 128 inches or 10.67 feet tall</u>

Step-by-step explanation:

Real size of the monument = 160 feet tall

Scale used by Tonya = 4 inches equal to 5 feet

Scale model of the monument = Real size of the monument / Scale used

Proportion between real monument and scale model = 160 / 5 = 32

It means that the proportion between the real monument and the scale model is 32

Scale model height = Proportion * scale used

Scale model height = 32 * 4

<u>Scale model height = 128 inches</u>

<u>Scale model height = 128/12 = 10.67 feet (12 inches = 1 feet)</u>

4 0

3 years ago

Huda opened a bank account with $30.00 and deposited $25.00 every month. After several months, she had a total of $180 in her ac

krek1111 [17]

Answer: C.) 6 months

3 0

3 years ago

Read 2 more answers

If x > 0 and y < 0, where is the point (x, y) located?

dlinn [17]

Answer:

Quadrant 4

Step-by-step explanation:

x > 0 means towards right of the origin

y < 0 means below the origin

So Quadrant 4

6 0

3 years ago

Which expression is equivalent to 3x - (2x + 4) + 5?<br> x+1<br> x + 9<br> 5x + 9<br> 5x + 1

azamat

Answer:

x + 1

Step-by-step explanation:

3x - (2x + 4) + 5

3x - 2x - 4 + 5

x - 4 + 5

x + 1

7 0

2 years ago