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Paul [167]
2 years ago
13

Jesse and mark are jogging along the route shown at a rate of 12 miles per hour. they start by jogging south along capitol stree

t for 1 mile, then turn east on h street and jog for 1.75 miles. at that point, jesse is tired and decides to walk home along florida avenue at a rate of 5 miles per hour. mark plans to jog back the way they came. jesse wants to find out who will arrive home first and by how much time. which statements should he consider when solving the problem? check all that apply. a triangle. the sides are capitol street, h street, and they hypotenuse is florida avenue. jesse will walk home a distance of approximately 2.0 miles as found by evaluating 1 squared 1.75 squared = d squared and then 1 3.0625 = d squared. jesse will take about 0.4 hours to walk the rest of the way home as found by 2.0 = 5 (t). jesse will walk home a distance of approximately 2.25 miles as found by 1 squared 1.75 squared = d squared and then 2 3.0625 = d squared. mark will jog home a distance of 2.75 miles. it will take mark about 0.23 hours to jog home as found by 2.75 = 12 (t). mark will jog home a distance of 2.25 miles. mark will get home about 0.17 hours (or 10 minutes) sooner. mark will get home about 0.21 hours (or 12.5 minutes) sooner.
Mathematics
2 answers:
omeli [17]2 years ago
5 0

Answer:

I the person above is correct.

Step-by-step explanation:

kotykmax [81]2 years ago
4 0

Answer:

12457

Step-by-step explanation:

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Why would I need to use square roots and cube roots?
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Answer:

Square roots and cube roots can be used to find missing dimensions of cylinders, cones, and spheres.

Step-by-step explanation:

7 0
2 years ago
Use the equation and type the ordered-pairs.
matrenka [14]

Hello!

To find the y-values of the given ordered pairs, substitute the x-values into the equation, y = log₂ x.

y = log₂ 1/2, y = -1

y = log₂ 1, y = 0

y = log₂ 2, y = 1

y = log₂ 4, y = 2

y = log₂ 8, y = 3

y = log₂ 16, y = 4

Therefore, the ordered pairs of y = log₂ x is: {(1/2, -1), (1, 0), (2, 1), (4, 2), (8, 3), (16, 4)}.

5 0
3 years ago
Read 2 more answers
It is known that 60% of customers will need additional maintenance on their vehicle when coming in for an oil change. A random s
inn [45]

Answer:

the probability that more than 70% of customers in the sample will need additional maintenance is 0.0371

Step-by-step explanation:

From the information given:

we are to determine the probability that more than 70% of customers in the sample will need additional maintenance

In order to achieve that, let X be the random variable that follows a binomial distribution.

Then X \sim Bin(48, 0.6)

However 70% of 48 samples is

= 0.7 × 48 = 33.6 \simeq 34

Therefore, the required probability is:

= P(X> 34)

= \sum \limits ^{48}_{x=34} (^{48}_{x}) (0.6)^x(1 - 0.6)^{48-x}

= \dfrac{48!}{34!(48-34)!} (0.6)^{34} (0.4)^{48-34}

= 4.823206232 \times 10^{11} (0.60)^{34}(0.4)^{14}

= 0.03709524328

\simeq 0.0371

3 0
3 years ago
The graph below represents an employee's earnings based on units sold. What can be interpreted from the slope of this graph?
Vesna [10]

Answer:

A

Step-by-step explanation:

<u />

From inspection of the graph, we can see that every time the x-value increases by 10, the y-value increases by 1000.

So, the employee earns an additional $1000 for every 10 units sold.

To calculate how much the employee earns for every 1 unit sold, divide $1000 by 10:

1000 ÷ 10 = 100

Therefore, the employee earns an additional $100 for every one unit sold.

<u />

<u>Proof</u>

This can be proved by calculating the slope (gradient) of the graph:

\sf slope=\dfrac{y_2-y_1}{x_2-x_1}

where \sf (x_1,y_1) and \sf (x_2,y_2) are two points on the line

When picking the two points, remember that the <u>y-values are in </u><u><em>thousands</em></u><u> </u><u>of dollars.</u>

<u />

Two points on the line:

(0, 30000) and (20, 32000)

Substituting these into the formula:

\sf \implies slope=\dfrac{32000-30000}{20-0}=\dfrac{2000}{20}=100

Therefore, the employee earns an additional $100 for every one unit sold.

7 0
2 years ago
Justification three common tangents
SOVA2 [1]

Three common tangents is illustrated when two circles touch each other externally at one point and they'll have three tangents.

<h3>How to illustrate the information?</h3>

It should be noted that a common tangent simply means a line the bus tangent to more than one circle.

In this case, three common tangents is illustrated when two circles touch each other externally at one point and they'll have three tangents.

A diagram is attached to illustrate the tangent.

Learn more about tangent on:

brainly.com/question/4470346

#SPJ1

3 0
1 year ago
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