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dimaraw [331]
3 years ago
6

Carter misses 25% of the free throws he attempts in a season. How many total free

Mathematics
1 answer:
Inga [223]3 years ago
4 0

Answer:

so 25% of 63

63x25:100

15,75=

63+15.75=

78.75=

79 appx

Step-by-step explanation:

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The function h(t) = −16t2 + 24t models the height, in feet, of a kangaroo t seconds after it jumps. What is the maximum height o
ch4aika [34]
<h2>9 ft</h2>

Step-by-step explanation:

       The height of kangaroo after it jumps is represented by the function h(t)=24t-16t^{2}, where t is in seconds, height is in feet.

       To find the maximum height that the kangaroo jumps, we need to maximise h(t).

       The minimum/maximum value of a quadratic expression ax^{2}+bx+c is given by \dfrac{4ac-b^{2}}{4a}.

       As the coeffecient of quadratic term is negative, the function has a maxima.

       Maximum value = \dfrac{4(-16)(0)-(24)^{2}}{4(-16)}=\dfrac{-576}{-64}=9.

∴ Maximum height = 9 ft

6 0
3 years ago
Brian has started a savings account. The balance, g(x), in his account can be represented by the function g(x) = 25x + 350, wher
elena-s [515]
For the answer to the question above, It m<span>eans Brian is switching from saving $25 dollars a week to $35 dollars a week. Because every week Brian will add $25 to his savings account (In week 1, Brian adds $25. In week 2 Brian adds $50. And so on). So to change from 25 to 35 would mean that Brian is saving more money every week ($10 to be exact). </span>

<span>And if you're curious, $350 stands for the amount of money Brian has initially (because at 0 weeks, Brian has $350 in his savings account). 

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3 0
3 years ago
Read 2 more answers
Find the area of the following polygons:<br> Given: AC = 12, AD = 16
Kisachek [45]
38 is the correct answer
6 0
3 years ago
Read 2 more answers
Work out the area of this circle.
mylen [45]

→Answer:

50.3cm^2

→Step-by-step explanation:

Well the formula for the area of a circle is \pi r^2.

<u><em>→Given information</em></u>

Pi is 3.142

radius is 4 cm

answer must be rounded to the nearest tenth

____________________________________________________________

So now we have to plug in the given information into the following formula \pi r^2.

(3.142)(4)^2

So now we have to solve this formula using PEMDAS.

So 4 squared is 16 and 16*3.142 is 50.272cm^2.

The question clearly states the given answer must be rounded into the nearest tenth so 50.272 is 50.3 cm^2.

__________________I do hope this helps!__________________________

5 0
3 years ago
The following equation involves a trigonometric equation in quadratic form. Solve the equation on the interval [0,2π).
Effectus [21]

Answer:

\dfrac{\pi}{6}, \dfrac{5\pi}{6}, \dfrac{3\pi}{2}

Step-by-step explanation:

Given the quadratic equation as:

2sin^2x+sinx=1\\OR\\2sin^2x+sinx-1=0

Let us put sinx=y for simplicity of the equation:

Now, the equation becomes:

2y^2+y-1=0

Now, let us try to solve the quadratic equation:

\Rightarrow 2y^2+2y-y-1=0\\\Rightarrow 2y(y+1)-1(y+1)=0\\\Rightarrow (2y-1)(y+1)=0\\\Rightarrow 2y-1 = 0, y+1 = 0\\\Rightarrow y = \dfrac{1}{2}, y = -1

So, the solution to the given trigonometric quadratic equation is:

sinx = \dfrac{1}{2}

and

sinx=-1

Let us try to find the values of x in the interval [0, 2\pi).

sin\theta can have a value equal to \frac{1}{2} in 1st and 2nd quadrant.

So, x can be

30^\circ, 150^\circ\\OR\\\dfrac{\pi}{6}, \dfrac{5\pi}{6}

For sinx=-1,

x = 270^\circ\ or\ \dfrac{3 \pi}{2}

So, the answer is:

\dfrac{\pi}{6}, \dfrac{5\pi}{6}, \dfrac{3\pi}{2}

7 0
3 years ago
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