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baherus [9]
3 years ago
7

When Zakir threw a beach ball to his friend, its horizontal velocity changed as it traveled through the air. The relationship be

tween the elapsed time, t, in seconds, since Zakir threw the ball, and its horizontal velocity, V(t), in cm/s is modeled by the following function: V(t) = 4 x(5/8)^t Complete the following sentence about the rate of change of the horizontal velocity of the ball. Every second, the horizontal velocity of the ball grows/shrinks v by a factor of Report a problem Stuck? Watch a video or use a hint.​
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
6 0

Answer:

5/8 shrinks

Step-by-step explanation:

Shrinks down 5/8

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Triangles Q R S and X Y Z are shown. Angles Q S R and X Z Y are right angles. Angles Q R S and X Y Z are congruent. The length o
kumpel [21]

Answer:

Three-fourths

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

∠QSR≅∠XZY ---> given problem

∠QRS≅∠XYZ ---> given problem

so

△QRS ~ △XYZ ----> by AA Similarity theorem

Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

That means

\frac{QS}{XZ}=\frac{QR}{XY}=\frac{RS}{YZ}

∠Q≅∠X

∠R≅∠Y

∠S≅∠Z

<em>In the right triangle XYZ</em>

Find the tangent of angle X

tan(X)=\frac{YZ}{XZ} ---> opposite side angle X divided by adjacent side angle X

substitute the given values

tan(X)=\frac{9}{12}

Simplify

tan(X)=\frac{3}{4}

Remember that

∠Q≅∠X

so

tan(Q)=tan(X)

therefore

tan(Q)=\frac{3}{4} ---->Three-fourths

7 0
2 years ago
Read 2 more answers
Find the x-intercepts of the parabola with vertex (1,1) and y-intercept (0,-3). Write your answer in this form (x of 1 , y of 1)
Vikki [24]
Remember that the vertex form of a parabola or quadratic equation is:

y=a(x-h)^2+k, where (h,k) is the "vertex" which is the maximum or minimum point of the parabola  (and a is half the acceleration of the of the function, but that is maybe too much :P)

In this case we are given that the vertex is (1,1) so we have:

y=a(x-1)^2+1, and then we are told that there is a point (0,-3) so we can say:

-3=a(0-1)^2+1

-3=a+1

-4=a so our complete equation in vertex form is:

y=-4(x-1)^2+1

Now you wish to know where the x-intercepts are.  x-intercepts are when the graph touches the x-axis, ie, when y=0 so

0=-4(x-1)^2+1  add 4(x-1)^2 to both sides

4(x-1)^2=1  divide both sides by 4

(x-1)^2=1/4  take the square root of both sides

x-1=±√(1/4)  which is equal to

x-1=±1/2  add 1 to both sides

x=1±1/2

So x=0.5 and 1.5, thus the x-intercept points are:

(0.5, 0) and (1.5, 0)  or if you like fractions:

(1/2, 0) and (3/2, 0) :P
4 0
3 years ago
PLEASE I ONLY HAVE 30 MIUNUTES TO FINISH!!!!!!!!!!!!!
creativ13 [48]

Answer:

When it is small & when the sample has things that are different from the population.

Step-by-step explanation:

A small sample has less chance of accurately reflecting a population & too many variables can also negatively influence the study.

3 0
2 years ago
Read 2 more answers
Someone please help ASAP will give brainliest
Art [367]

Answer:

y< -3/2x-2

Step-by-step explanation:

if you look at the graph, you can see the line is dotted, which means it is not equal to. eliminate a and c. the shade is toward the bottom of the y, which then you could eliminate a because b says the y value is greater than, which isn't true. you could also check it by plugging in any value for x!

hope this helped :)

6 0
3 years ago
What is the value of StartFraction negative 8 (17 minus 12) over Negative 2 (8 minus (negative 2)) EndFraction?
lana [24]
-2
8(17-12)/ -2(8+2).
A negative and a negative equals a plus
8(5) / -2(10)
40 / -20
= -2
6 0
2 years ago
Read 2 more answers
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