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Aliun [14]
3 years ago
7

I'll mark brainliest!

Mathematics
1 answer:
GuDViN [60]3 years ago
4 0

Answer:

im answering so he can have it :D

Step-by-step explanation:

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Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h. one day he forgot his homework, which his m
densk [106]

Answer:

She caught up with Jordan at 6:39 AM

Step-by-step explanation:

We solve this question making linear functions for the distances that Jorden and his mom have driven, and then we equalize them to find the moment they caught up.

Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h.

Her mom will have left 15 minutes after he left, when he will already have traveled \frac{15*32}{60} = \frac{32}{4} = 8\text{km}

So, his position after t minutes can be modeled by the following function:

J(t) = 8 + 32t

His mom

His mom goes after him starting from home, so the initial position is 0, with a velocity of 52 km/h. So her position can be modeled by the following function:

M(t) = 52t

At what time did she catch up with Jorden,

She catches up t minutes after 6:15 AM.

t is found when

M(t) = J(t)

So

8 + 32t = 52t

20t = 8

t = \frac{8}{20}

t = 0.4

0.4 of an hour is 0.4*60 = 24 minutes.

So she catched up with Jordan after 6:15 AM + 24 minutes = 6:39 AM

4 0
3 years ago
The smaller of two numbers is one-half the larger, and their sum is 27. Find the numbers. I need an answer in 10 minutes
Alex777 [14]

Answer:

18 and 9

Step-by-step explanation:

The numbers are x and 1/2x.

x + 1/2x = 27

3/2x = 27

x = 18 so the numbers of 18 and 9.

6 0
3 years ago
Evaluate the definite integral. 1/4 csc(2πt) cot(2πt) dt 1/12
Afina-wow [57]
Hey there, hope I can help!

\frac{1}{4}\csc \left(2\pi t\right)\cot \left(2\pi t\right)dt\frac{1}{12}

\mathrm{Multiply\:fractions}: \:a\cdot \frac{b}{c}\cdot \frac{d}{e}=\frac{a\:\cdot \:b\:\cdot \:d}{c\:\cdot \:e} \ \textgreater \  \frac{1\cdot \:1\cdot \:dt}{4\cdot \:12}\csc \left(2\pi t\right)\cot \left(2\pi t\right)

\mathrm{Apply\:rule}\:1\cdot \:a=a \ \textgreater \  \frac{dt}{4\cdot \:12}\csc \left(2\pi t\right)\cot \left(2\pi t\right)

\mathrm{Multiply\:the\:numbers:}\:4\cdot \:12=48 \ \textgreater \  \frac{dt}{48}\csc \left(2\pi t\right)\cot \left(2\pi t\right)

\mathrm{Multiply\:fractions}: \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \  \frac{dt\csc \left(2\pi t\right)\cot \left(2\pi t\right)}{48}

Hope this helps!
5 0
3 years ago
PLS HELP ME WITH 5, 6, and 7 (SHOW WORK!!) + LOTS OF POINTS!
melisa1 [442]
Number 5 is c, number 6 is 'a'
7 0
3 years ago
Change the equation from standard form to slope-intercept form -5x-2y=-3
horrorfan [7]

Answer:Your Mom

<h2>Step-by-step explanation:Cause she is fat No but it srsly is 123</h2>
5 0
3 years ago
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