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Kryger [21]
3 years ago
15

Marty has read 32% of his 400-page library book. How many pages has Marty read?

Mathematics
1 answer:
vova2212 [387]3 years ago
6 0

Answer:

128 pages

Step-by-step explanation:

0.32*400

=128

In total, Marty had read 128 pages of his book.

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5a/5a+5 x 10a +10/10​
DIA [1.3K]

Answer: 50a+2

Step-by-step explanation:

1. Simplify 5a5a\​5a​​5a​​ to 1.

1+5×10a+10

2.Simplify 5×10a to 50a.

1+50a+10

3.Cancel 10.

1+50a+1

4. Collect like terms.

50a+(1+1)

5. Simplify.

50a+2

6 0
3 years ago
Read 2 more answers
A projectile is fired into the air with an initial vertical velocity of 160 ft/sec from ground level. How many seconds later doe
djverab [1.8K]

The maximum height of the projectile is the maximum point that can be gotten from the projectile equation

The projectile reaches the maximum height after 5 seconds

The function is given as:

\mathbf{h(t) = -16t^2 + 160t}

Differentiate the function with respect to t

\mathbf{h'(t) = -32t + 160}

Set to 0

\mathbf{h'(t) = -32t + 160 = 0}

So, we have:

\mathbf{-32t + 160 = 0}

Collect like terms

\mathbf{-32t =- 160 + 0}

\mathbf{-32t =- 160}

Solve for t

\mathbf{t = \frac{- 160}{-32}}

\mathbf{t = 5}

Hence, the projectile reaches the maximum after 5 seconds

Read more about maximum values at:

brainly.com/question/6636648

8 0
3 years ago
Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle O? You must show all your work.
likoan [24]

Answer:

88 deg

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary. That means that the sum of the measures of angles O and Q is 180 deg.

2x + 2x + 4 = 180

4x + 4 = 180

4x = 176

x = 44

m<O = 2x = 2(44) = 88

Answer: 88 deg

4 0
3 years ago
What is the correct solution for 8x = 56​
Mars2501 [29]

Answer:

7

Step-by-step explanation:

8(7)=56

4 0
3 years ago
Read 2 more answers
Eben, an alien from the planet Tellurango, kicks a football from field level. The equation for the football’s height in meters,
Luden [163]

<span>The maxima of a differential equation can be obtained by getting the 1st derivate dx/dy and equating it to 0.</span>

<span>Given the equation h = - 2 t^2 + 12 t       , taking the 1st derivative result in:</span>

dh = - 4 t dt + 12 dt

<span>dh / dt = 0 = - 4 t + 12   calculating for t:</span>

t = -12 / - 4

t = 3 s

Therefore the maximum height obtained is calculated by plugging in the value of t in the given equation.

h = -2 (3)^2 + 12 (3)

h = 18 m

This problem can also be solved graphically by plotting t (x-axis) against h (y-axis). Then assigning values to t and calculate for h and plot it in the graph to see the point in which the peak is obtained. Therefore the answer to this is:

<span>The ball reaches a maximum height of 18 meters. The maximum of h(t) can be found both graphically or algebraically, and lies at (3,18). The x-coordinate, 3, is the time in seconds it takes the ball to reach maximum height, and the y-coordinate, 18, is the max height in meters.</span>

6 0
3 years ago
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