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3 years ago

The sum of 9 and the product of a number and 5 is 24.

Mathematics

1 answer:

evablogger [386]3 years ago

8 0

Answer:

The number would be 3.

Step-by-step explanation:

This problem can be written as

5x + 9 = 24

So to solve it, you have to isolate x:

5x + 9 = 24

5x + 9 - 9 = 24 - 9

5x = 15

5x÷5 = 15÷5

x = 3

Check:

5(3) + 9

= 15 + 9

= 24

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Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the

Rama09 [41]

Question:

Britney throws an object straight up into the air with an initial velocity of 27 ft/s from a platform that is 10 ft above the ground. Use the formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height. How long will it take for the object to hit the ground?

1s 2s 3s 4s

Answer:

It takes 2 seconds for object to hit the ground

Solution:

The given equation is:

$h(t) = -16t^2 + v_0t+h_0$

Initial velocity = 27 feet/sec

$h_0 = 10\ feet$

Therefore,

$h(t) = -16t^2 +27t+10$

At the point the object hits the ground, h(t) = 0

$-16t^2 +27t+10 = 0\\\\16t^2-27t-10=0$

Solve by quadratic formula,

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=16,\:b=-27,\:c=-10:\quad \\\\t=\frac{-\left(-27\right)\pm \sqrt{\left(-27\right)^2-4\cdot \:16\left(-10\right)}}{2\cdot \:16}\\\\t = \frac{27 \pm \sqrt{1369}}{32}\\\\t = \frac{27 \pm 37}{32}\\\\We\ have\ two\ solutions\\\\t = \frac{27+37}{32}\\\\t = \frac{64}{32}\\\\t = 2\\\\And\\\\t = \frac{27-37}{32}\\\\t = -0.3125$

Ignore, negative value

Thus, it takes 2 seconds for object to hit the ground

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3 years ago

True or false: a pair of straight angles can also be adjacent angles

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Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions. the statement "a pair of straight angles can also be adjacent angles" is true

There are some special relationships between "pairs" of angles. Adjacent Angles are two angles that share a common vertex, a common side, and no common interior points. (They share a vertex and side, but do not overlap.) A Linear Pair is two adjacent angleswhose non-common sides form opposite rays.

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3 years ago

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A noted psychic was tested for extrasensory perception. The psychic was presented with 2 0 0 cards face down and asked to determ

Natasha2012 [34]

Answer:

C. P- value < 0.04 0.05

Step-by-step explanation:

hello,

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also the probability that the psychic correctly identifies the symbol on the 200 card is

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