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svet-max [94.6K]
3 years ago
13

A watermelon was ejected from a catapult reaching a maximum height of 20 ft. The watermelon left the catapult when it was 4 ft o

ff the ground and hit the ground 45 ft away from the catapult. Can the equation that models the path of the watermelon be written given the information in the problem? If so, find the equation. If not, state what other information is needed.
Mathematics
1 answer:
Paraphin [41]3 years ago
5 0

Answer:

Step-by-step explanation:

No, the equation cannot be written with the given information. The distance from the catapult when the watermelon reached the maximum height is needed. Since the watermelon did not start on the ground, it cannot be assumed that the maximum was reached half the distance to the landing point.

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What is the area of the composite shape<br> A pentagon is shown.
natali 33 [55]

Answer:

37in.^2

Step-by-step explanation:

So if the triangles at the top have a hypotenuse of 5, and a length of 4, then doing reverse Pythagorean theorem, you find out that the width is 3.a^{2} +b^{2} =c^{2}. so reverse of that for this problem would be c^{2} -b^{2} =a^{2} and if we plug it in, we get 25 -16=9 and the square root of 9 is 3. so if we find the are of the triangle, 3*4*1/2=6 and there are 2 triangles so 12 for both triangles. The square is 5*4=20. and the smaller triangles on the side are 1*5*1/2=2.5, and there are 2 traingles so 2.5*2= 5. So 5+20+12=37. You can do this on most calculators, and please put my answer as the brainliest.✌

4 0
2 years ago
In 2017, solar and wind electricity generation totaled 218 thousand megawatt hours (MWH) Wind generated 2 thousand MWH more than
Lyrx [107]

Answer:

W=191,000MWH S=27,000MWH

Step-by-step explanation:

OK, let's W be wind electricity generated and S, solar electricity generate.

TOTAL GENERATED: <u>218,000mwh = W + S </u>

RELATION BETWEEN W AND S: <u>W = 2,000mwh + 7S</u>

We have now two equations:

218,000 = W + S

W = 2,000 + 7S

Put th value of W into the 1st equation in order to find S:

218,000 = 2,000 + 7S + S

218,000 = 2,000 + 8S

218,000 - 2,000 = 8S

216,000 = 8S

S = 216,000/8

S = 27,000mwh

Now, we find W.

W = 2,000 + 7*27,000mwh

W = 2,000 + 189,000mwh

W = 191,000mwh

4 0
3 years ago
58.(A) (5pts)A certain type of bacteria, given favorable growth medium, quadruples in population every 6 hours. Given that there
Jet001 [13]

Answer:

157286400 bacteria

Step-by-step explanation:

We are given the following in the question:

The bacteria increases 4 times every 6 hours.

Initially there are 150 bacteria.

Thus, we can write the function for number of bacteria after x hours,

f(x) = 150(4)^{\frac{x}{6}}

We have to find the number of bacteria in 2.5 days.

1 day = 24 hours

Thus,

2.5\text{ days} = 24\times 2.5 = 60\text{ hours}

Putting x = 60 in the above equation, we get,

f(60) = 150(4)^{\frac{60}{6}} = 150(4)^{10} = 157286400

Thus, there will be 157286400 bacteria in two and a half days.

5 0
4 years ago
PLS GIVE ME AN EXPLANATION.. BUT NO LINKS...If the diameter of a cylinder is 14 feet and its height is 4 feet, the volume of the
Phantasy [73]

Answer:

False

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Mother gives birth to a 8 pound baby. Every 4 months, the baby gains 3 pounds.
Slav-nsk [51]

Hello!

The equation, y = mx + b is slope-intercept form. In this equation, m is the slope, and b is the y-intercept.

If the baby was exactly 8 pounds when it was born, then the y-intercept is (0, 8) because at zero months, the baby was eight pounds. To find the rate of change, we can use the the y-intercept (0, 8), and the weight of the baby at four months, which is (4, 8 + 3) → (4, 11).

Since we have two points, we can use the slope formula (\frac{y_{2}-y_{1}}{x_{2}-x_{1}}) to find the rate of change.

\frac{8 -11}{0-4} = \frac{-3}{-4} = \frac{3}{4}.

The rate of change is 3/4.

Therefore, the equation that describes the baby's weight is y = 3/4x + 8.

8 0
3 years ago
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