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3 years ago

The product of five times p and seven times q is

Mathematics

2 answers:

enot [183]3 years ago

7 0

Answer:

Step-by-step explanation:

(5p)(7q)=35pq

Alborosie3 years ago

7 0

Answer:

The product of five t imes p and 7 times q is just:

5p(7q), which is 42pq

Let me know if this helps!

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PLEASE HELP!! DUE SOON!!

Aneli [31]

Answer:

can i see a pic

Step-by-step explanation:

6 0

3 years ago

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.

Oliga [24]

Answer:

$\displaystyle 1)48.2 \: \: \text{sec}$

$\rm \displaystyle 2)3021.6 \: m$

Step-by-step explanation:

<h3>Question-1:</h3>

so when flash down occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,

to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:

$\displaystyle - 4.9 {t}^{2} + 229t + 346 = 0$

to solve the equation can consider the quadratic formula given by

$\displaystyle x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 ac} }{2a}$

so let our a,b and c be -4.9,229 and 346 Thus substitute:

$\rm\displaystyle t = \frac{ - (229) \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

remove parentheses:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}$

simplify square:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)}$

simplify multiplication:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 52441- 6781.6} }{ - 9.8}$

simplify Substraction:

$\rm\displaystyle t = \frac{ - 229 \pm \sqrt{ 45659.4} }{ - 9.8}$

by simplifying we acquire:

$\displaystyle t = 48.2 \: \: \: \text{and} \quad - 1.5$

since time can't be negative

$\displaystyle t = 48.2$

hence,

at 48.2 seconds splashdown occurs

<h3>Question-2:</h3>

to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered

$\displaystyle x _{ \text{max}} = \frac{ - b}{2a}$

let a and b be -4.9 and 229 respectively thus substitute:

$\displaystyle t _{ \text{max}} = \frac{ - 229}{2( - 4.9)}$

simplify which yields:

$\displaystyle t _{ \text{max}} = 23.4$

now plug in the maximum t to the function:

$\rm \displaystyle h(23.4)- 4.9 {(23.4)}^{2} + 229(23.4)+ 346$

simplify:

$\rm \displaystyle h(23.4) = 3021.6$

hence,

about 3021.6 meters high above sea-level the rocket gets at its peak?

5 0

3 years ago

Gloria rides a bike 8 miles in 40 minutes.Nanette rides a bike 5 miles in 30 minutes.Who biked the farthest.

Ugo [173]

Gloria biked the farthest.

7 0

3 years ago

Read 2 more answers

The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire?

pantera1 [17]

Answer:

The diameter is 22.92 inches

Step-by-step explanation:

Hello, I can help you with this question

in this case we know the circumference of a circle, and we need to find out the diameter.

let's remember

the radius of a circle can be defined as

$radius=\frac{diameter}{2}\\ or\\diameter=2* radius( equation\ 1)\\$

also

$circumference=2*\pi *radius(equation2)\\$

Step1

replace the value of the circumference of tyler's bike in equation 2 and isolate radius to find radius

$72 inches=2*\pi *radius\\\\radius=\frac{72}{2*\pi } \radius =11.46\ inches$

Step 2

now, replace the value of radius into equation 1 to find diameter

radius=11.46 in

$diameter=2* radius( equation\ 1)\\\\diameter=2*11.46\\diameter=22.92$

so, the diameter is 22.92 inches

I really hope it helps, have a great day.

5 0

3 years ago

Read 2 more answers

$2,000 at 9% simple interest; deposit $1,600

earnstyle [38]

oops sorry.

180 was the 9% interest.

4 0

3 years ago