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gladu [14]
2 years ago
14

Mandy drives to work every day. The distance she travels is given by the equation d = 4.5t, where d is the distance traveled and

t is the driving time. What is the constant of proportionality in terms of d to t?
Mathematics
2 answers:
NNADVOKAT [17]2 years ago
4 0

Answer:

The constant of proportionality in terms of d to t is 4.5.

Step-by-step explanation:

Since,

Distance = Speed\times Time

So, we can write,

Distance is directly proportional to time if speed is constant.

Here d represents distance and t represents time,

\implies d\propto t

\implies d=kt

Where k is the constant of proportionality,

We have given,

d = 4.5t

By comparing k = 4.5,

Hence, the constant of proportionality in terms of d to t is 4.5.

Anastasy [175]2 years ago
3 0
The constant is "4.5 miles per hour", or whatever the actual units are.
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Which reaction describes a beta emission?  2659Fe→ 2759Co +  −10e  88226Ra→ 86222Rn +  24He ��94239Pu +  24He→ 96242Cm  +  01n  
shepuryov [24]

Correct question:

Which reaction describes a beta emission?  2659Fe→ 2759Co +  −10e,   88226Ra→ 86222Rn +  24He, 94239Pu +  24He→ 96242Cm  +  01n,  54118Xe→ 53118I +  +10e

Answer:

2659Fe→ 2759Co + 1e

Step-by-step explanation:

General equation for beta decay is given as;

^A_zX -> \ ^A_{z+1}Y +\  ^0_{-1} \beta

where;

A is the atomic mass of the element

z is atomic number of the element

X is the parent atom

Y is the daughter element

β is beta emission

In beta emission, there is loss of one electron and zero proton, the will cause the daughter element to gain on electron in order to balance the reaction.

Based on beta decay equation above, we select the reaction that describes beta emission.

2659Fe→ 2759Co + 1e

Here;

A = 59

z = 26

z + 1 = 27

5 0
2 years ago
Read 2 more answers
Catron evaluates the expression (negative 9) (2 and two-fifths) using the steps below.
Ede4ka [16]

The error is:

She incorrectly broke up 2 and two-fifths.

Option A is correct option.

Step-by-step explanation:

We need to  describes Catron’s error?

The steps are:

Step 1: (Negative 9) (2 + two-fifths)

Step 2: (Negative 9) (Negative 2) + (negative 9) (two-fifths)

Step 3: Negative 18 + (negative 9) (two-fifths)

Step 4: (negative 27) (two-fifths)

Solution: Negative StartFraction 54 over 5 EndFraction = Negative 10 and four-fifths

The error is:

She incorrectly broke up 2 and two-fifths.

Option A is correct option.

<u>Solving </u>

Solving the equation by removing the error:

Step 1: (Negative 9) (2 + two-fifths)

taking LCM of 2 and two-fifths (2/5)

Step 2: (Negative 9) (twelve-fifths)

Step 3: (Negative 9*twelve)-fifths

Step 4: Negative one hundred and eight- fifths

Solution: Negative StartFraction -108 over 5 EndFraction = Negative one hundred and eight- fifths

Keywords: Solving Expressions

Learn more about Solving Expressions at:

  • brainly.com/question/2456302
  • brainly.com/question/7014769
  • brainly.com/question/11007572
  • brainly.com/question/11334714

#learnwithBrainly

5 0
2 years ago
Read 2 more answers
Show a way to count from 170 to 410 using tens and hundreds. circle at least 1 benchmark number
Anastasy [175]
Benchmark are numbers that are used as standards to which the rest of the data is compared to. When counting numbers using a number line, the benchmark numbers are the intervals written on the axis. For benchmark numbers of 10, the number line on top of the attached picture is shown. Starting from 170, the tick marks are added by 10, such that the next numbers are 180, 190, 200, and so on and so forth. When you want to find 410, just find the benchmark number 410.

The same applies to benchmark numbers in intervals of 100. If you want to find 170, used the benchmark numbers 100 and 200. Then, you estimate at which point represents 170. For 410, you base on the benchmark numbers 400 and 500.

6 0
2 years ago
Read 2 more answers
Javier is 175% heavier than his brother. If Javier’s brother weighs 80 pounds, how much does Javier weigh?
777dan777 [17]

Let us say weight of Javier is x pounds.

Weight of his bother = 80 pounds

Javier is 175 % or 1.75 times heavier than his brother.

So Javier's weight = x pounds= 1.75 *80 = 140 pounds.

Answer: Javier's weight is 140 pounds.

4 0
2 years ago
Read 2 more answers
A supervisor records the repair cost for 17 randomly selected stereos. A sample mean of $66.34 and standard deviation of $15.22
expeople1 [14]

Answer:

Critical value: T = 1.337

The 80% confidence interval for the mean repair cost for the stereos is between $45.991 and $86.689

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 17 - 1 = 16

80% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 16 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.8}{2} = 0.9. So we have T = 1.337, which is the critical value

The margin of error is:

M = T*s = 1.337*15.22 = 20.349

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 66.34 - 20.349 = $45.991

The upper end of the interval is the sample mean added to M. So it is 66.34 + 20.349 = $86.689

The 80% confidence interval for the mean repair cost for the stereos is between $45.991 and $86.689

3 0
2 years ago
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