1. Julia's goal is to run faster than two of her friends in an upcoming6.2-mile race. The table shows the results of the last race that each
runner finished. Assume they each run the race at the same rate
they ran their last race. Complete the table. Who will finish first
among the three friends, and by how much time will she beat the
second-place finisher?
Runner
Julia
Hazel
Mekena
Last Race
Distance
(mi)
8
5
6
Last Race
Time
(min: sec)
62:00
39:10
46:00
Rate
(min:sec
per mi)
Time for
6.2 Miles
(min: sec)

Answers

Answer 1

Answer:

It was a good choice to ask Toni to join the team as she would be able to contribute to the team's success in the race.

What is the ratio and proportion ?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as 1 : 3 (for every one boy there are 3 girls).

To complete the 1-mile relay race in 4:34, each runner must run their quarter-mile leg of the race in a total time of 1:08 (68 seconds).

We can use this information to fill in the missing information in the table:

Runner Rate(min:sec per mi) Time for 1/4mile (min:sec)

Julia 4:40 1:10

Hazel 4:48 1:12

Mekena 4:32 1:08

Toni 4:18 1:04

Based on the table, Toni's rate is faster than the other runners, and her time for a quarter-mile leg of the race is also faster.

Therefore, it was a good choice to ask Toni to join the team as she would be able to contribute to the team's success in the race.

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Related Questions

Below, the two-way table is given for a class of students. Freshmon Sophomora fontores Seniors Male 4 6 2 2 Female 3 4 6 б 3 Total If a student is selected at random, find the probability the student is a junior. Round to the nearest whole percent.
While walking through a fictional forest, you encounter three trolls guarding a bridge. Each is either a knight, who always tells the truth, or a knave, who always lies. The trolls will not let you pass until you correctly identify each as either a knight or a knave. Each troll makes a single statement: Troll 1: If I am a knave, then there are exactly two knights here. Troll 2: Troll 1 is lying. Troll 3: Either we are all knaves or at least one of us is a knight. Which troll is which?
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What’s the correct answer for this?
An ANOVA procedure is used for data obtained from four populations. Four samples, each comprised of 30 observations, were taken from the four populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F are _____.

In the diagram shown, M, N and P are collinear and QM=QN as shown. If mMQN = 48" andmNQP = 33. Justify why QNP must be isosceles.

Answers

An isosceles triangle is that the triangle must have two sides of equal length.

Triangle QNP is isosceles triangle because, QN = PN

In triangle QMN,

Since, QM = QN

So, ∠QMN = ∠QNM

By property of triangle:

∠MQN + ∠QNM + ∠QMN = 180

48 + 2 ∠QNM = 180

∠QNM = $(180-48)/(2)$ = 66 degree

So, ∠QMN = ∠QNM = 66 degree

from figure,

∠QNM + ∠QNP = 180

∠QNP = 180 - 66 = 114 degree.

In triangle QNP,

∠QNP + ∠PQN + ∠QPN = 180

∠QPN = 180 - 33 - 114 = 33 degree

Since, ∠QNP = ∠QPN = 33 degree

Therefore, triangle QNP is isosceles triangle.

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Answer/Step-by-step explanation:

Let's find the measure of the angles of ∆QNP.

∆QMN is am isosceles ∆, because it has two equal sides. Therefore, its base angles would be the same. Thus:

m<MNQ = ½(180 - 48) (one of the base angles of ∆QMN)

m<MNQ = ½(132) = 66°

Next, find m<QNP

m<QNP = 180° - m<MNQ (linear pair angles)

m<QNP = 180° - 66° (Substitution)

m<QNP = 114°

Next, find m<P

m<P = 180 - (m<QNP + m<PQN) (sum of ∆)

m<P = 180 - (114 + 33)

m<P = 180 - 147

m<P = 33°

Thus, in ∆QNP, there are two equal angles, namely, <P and <PQN.

An isosceles ∆ had two equal base angles. Therefore, ∆QNP must be an isosceles ∆.

A spinner has 3 equal sections that are purple, green, and blue. What is the probability of not landing on blue?

Answers

Answer:

P(not landing on blue section)=2/3

Step-by-step explanation:

Not landing on blue section = landing on one of the other sections

the remaining sections are 2 each one has a P=1/3

2 × 1/3 = 2/3

Answer:

66%

Step-by-step explanation:

2 divided by 3= 0.666666666 which is then converted to percent (66%)

Please help me on this

Answers

For this case, we have that by definition:

$(-0.5) ^ 3 = -0.125$

Then we can rewrite the given expression as:

$\sqrt [3] {(- 0.5) ^ 3}$

For properties of roots we have that:

$\sqrt [n] {(a) ^ n} = a$

So:

$\sqrt [3] {(- 0.5) ^ 3} = - 0.5$

So, we have to:

$\sqrt [3] {- 0.125} = - 0.5$

ANswer:

Option A

Simplify the radical by breaking the radicand up into a product of known factors.
Your answer is A. -0.5

Find a diginacci sequence with no equal term to 11: quick answer please

Answers

Answer:

uhh hope this helps

Step-by-step explanation:

A Diginacci sequence is created as follows.

• The ﬁrst two terms are any positive whole numbers.

• Each of the remaining terms is the sum of the digits of the previous

two terms.

For example, starting with 5 and 8 the Diginacci sequence is

5, 8, 13, 12, 7, 10,. . .

The calculations for this example are

5 + 8 = 13, 8 + 1 + 3 = 12, 1+ 3 +1+ 2 = 7, 1 + 2 + 7 = 10.

a) List the ﬁrst 26 terms of the Diginacci sequence above.

b) Find, with explanation, two starting terms for a Diginacci sequence

so that its 2021st term is 11.

c) Find, with explanation, a Diginacci sequence that has no term equal

to 11.

d) Find, with explanation, a sequence with two diﬀerent starting terms

which contains ﬁve consecutive terms that are even and not all identical

Both 2 and 3 is correct.

7th grade math help me plzzz

Answers

Answer:

a. -7 + 3

b. draw 7 negatives + 7 positives

Step-by-step explanation:

Answer:

3.a) -7 + 3

3.b) 4

I hope this helps!

Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t. a=16, v(0) = -14, s(0) = -8

Answers

Answer:

The position at time t is $s(t) = 8t^2 - 14t -8$

Step-by-step explanation:

From the question we are told that

The acceleration is $a = 16$

The velocity at t = 0 is $v(0) = -14$

The position at time t = 0 is $s(0) = -8$

Generally acceleration is mathematically represented as

$a(t) = (d v)/(dt )$

=> $(dv)/(dt) = 16$

=> $dv = 16 dt$

integrating both sides we have

$\int\limits dv = \int\limits16 dt$

=> $v(t) = 16 t + c$

Now at t = 0

$v(0) = 16 * 0 +c = -14$

=> $c = -14$

$v(t) = 16 t -14$

Generally the position of the body is mathematically represented as

$s(t) = \int\limits v(t)dt$

$s(t) = \int\limits 16t - 14 dt$

$s(t) = 16 (t^2)/(2) - 14t + C$

Now at t = 0

$s(0) = 16 (0^2)/(2) - 14(0) + C = -8$

=> $C = -8$

$s(t) = 8t^2 - 14t -8$

Final answer:

The position of the body at time t, given an acceleration of 16 m/s², an initial velocity of -14 m/s and an initial position of -8 m, is given by the equation s(t) = -8 - 14t + 8t².

Explanation:

In your problem, you're asked to find the body's position at time t given its acceleration, initial velocity, and initial position. We can do this by utilizing basic kinematics, specifically the equation for position under constant acceleration. This equation is: s(t) = s(0) + v(0)t + 0.5at².

Substituting the given values into the formula, we get s(t) = -8 + -14t + 0.5*16t².

This is the equation for the body's position at time t. It can be simplified further by multiplying the terms inside, leading to s(t) = -8 - 14t + 8t².

Therefore, given an acceleration of 16 m/s², an initial velocity of -14 m/s and an initial position of -8 m, the position of the body at time t can be described by the equation s(t) = -8 - 14t + 8t².

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