Inge is competing in a 400 m race. She runs at a constant speed of 4.6 m/s for the first 150 m, then 4.2 m/s for 40 seconds. The remainder of the race takes her 38 seconds to complete. What is Inge's average speed for the entire race to 1 dp?

Answers

Answer 1

9514 1404 393

Answer:

  3.6 m/s

Step-by-step explanation:

To find Inge's average speed for the race, we need to know her total distance (400 m) and her total time. The times for the 2nd and 3rd portions of the race are given, but we need to figure the time for the first portion. That will be ...

  time = distance/speed

  time = (150 m)/(4.6 m/s) = 32.609 s . . . . time for first 150 m

Then Inge's average speed is ...

  (400 m)/(32.609 s + 40 s + 38 s) = (400 m)/(110.609 s) ≈ 3.6 m/s


Related Questions

Suppose an airline policy states that all baggage must be​ box-shaped with a sum of​ length, width, and height not exceeding 144 in. What are the dimensions and volume of a​ square-based box with the greatest volume under these​ conditions?

Answers

Answer:

110592 in³

Step-by-step explanation:

Since baggage should take the shape of a box; with the sum of it's dimension not exceeding 144 ;

Dimensions of a box : length, width, height

If ; l + w + h = 144

Greatest volume is obtained when the dimension is equal : such that l = w = h

Hence, each dimension becomes ; 144 / 3 = 48 in

Volume of box = length * width * height

Volume = 48 * 48 * 48

Volume = 48³ = 110592

The radius of a sphere is increasing at a rate of 3 mm/s. How fast is the volume increasing when the diameter is 60 mm

Answers

Answer:

The volume is increasing at a rate of 33929.3 cubic millimeters per second.

Step-by-step explanation:

Volume of a sphere:

The volume of a sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In this question:

We have to derivate V and r implicitly in function of time, so:

[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]

The radius of a sphere is increasing at a rate of 3 mm/s.

This means that [tex]\frac{dr}{dt} = 3[/tex]

How fast is the volume increasing when the diameter is 60 mm?

Radius is half the diameter, so [tex]r = 30[/tex]. We have to find [tex]\frac{dV}{dt}[/tex]. So

[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]

[tex]\frac{dV}{dt} = 4\pi (30)^2(3) = 33929.3[/tex]

The volume is increasing at a rate of 33929.3 cubic millimeters per second.

bisects ∠EDG. Find the value of x

Answers

Answer:

where is the question? please attatch the angle

Use what you know about decomposing fractions to write 11/10 as a mixed number.

Help please :(

Answers

Answer:

11/10 is 1 1/10

Step-by-step explanation:

1 1/10

This is because is we divide 11 by 10 we get 1 1/10, the answer to this question.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

Solve the following equation for
a
a. Be sure to take into account whether a letter is capitalized or not.

Answers

Answer:

6/5 n = a

Step-by-step explanation:

n = 5/6a

Multiply each side by 6/5

6/5 n = 6/5 * 5/6a

6/5 n = a

Student Engineers Council at an Indiana college has one student representative from each of the five engineering majors (civil, electrical, industrial, materials, and mechanical). Compute how many ways a president, a vice president, and a secretary can be selected.

Answers

Answer:

A president, a vice president, and a secretary can be selected in 60 ways.

Step-by-step explanation:

The order in which the people are chosen is important(first president, second vice president and third secretary), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

3 students from a set of 5, so:

[tex]P_{(5,3)} = \frac{5!}{2!} = 5*4*3 = 60[/tex]

A president, a vice president, and a secretary can be selected in 60 ways.

Y^2-Y/Y answer please

Answers

Answer:

y - 1

Step-by-step explanation:

y^2 - y / y

Cancel out the numerator with the denominator, so cancel out the y's to get:

y - 1

Remember that there is a "hidden" 1 in front of the y. Meaning that it is "-1."

At a university, the percentages of Distinction", "Merit", and Pass' in students are 10%, 20%
70%, respectively. The probability that a D. M. P student obtain a scholarship are 0.8.0.3 and
0.05, respectively. What are the proportions of D. M. P student among scholarships?

Answers

Answer:

63% of all undergraduates receive at least one grant or scholarship.

Step-by-step explanation:

Scholarships and grants, which covered 31% of cost, and parent income and savings, which covered 30%, are the top two sources of funding. The share of cost paid from other resources are 14% from student borrowing, 13% from student income and savings, 10% from parent borrowing, and 2% from friends and family.

Marquise has 200200200 meters of fencing to build a rectangular garden.
The garden's area (in square meters) as a function of the garden's width xxx (in meters) is modeled by:
A(x)=-x^2+100xA(x)=−x
2
+100xA, left parenthesis, x, right parenthesis, equals, minus, x, squared, plus, 100, x
WHAT IS THE MAXIMUM AREA POSSIBLE SQUARE METERS

Answers

Hence the maximum possible area is 2500 square meters

Given the area of the rectangular garden expressed as;

[tex]A(x)=-x^2+100x\\[/tex]

The maximum area occurs when dA(x)/dx = 0

[tex]\frac{dA(x)}{dx} = -2x + 100\\0= -2x + 100\\ 2x = 100\\x = \frac{100}{2}\\x = 50[/tex]

Next is to get the maximum area possible. Substitute x = 50 into the original function as shown;

[tex]A(50)= -50^2 + 100(50)\\A(50) = -2500+5000\\A(50) = 2500[/tex]

Hence the maximum possible area is 2500 square meters

Learn more here: https://brainly.com/question/17134596

2500 square meters

This question was on Khan Academy and I got it correct

which of the following statements must br true about this diagram exterior and interior angles

Answers

Answer:

C: w > y

D: w > x

E: x + y = w

If the two angles are complementary, find the measure of each of angle.

Answers

Answer:

D 40 and 50

Step-by-step explanation:

Complimentary angles are equal to 90

Answer: D, 40 and 50

Steps:

1. Since complementary angles equal 90 degrees, 4r + 5r = 90

2. 4r + 5r is 9r

3. This makes the equation, 9r=90

4. Divide both sides by 9, and then you get r=10

5. Substitute r=10 into 4r and 5r

6. This should make 4(10) and 5(10)

7. Multiply and then get 40 and 50

I need help ASAP is anyone available

Answers

Answer:

C

Step-by-step explanation:

The graph has asymptotes at x = 2 and x = -1 corresponding to the denominator of option C.

Find the length of the line in cm.
PLEASE HELP​

Answers

Answer:

60cm

Step-by-step explanation:

12x-10x=120

2x=120

x=60

Answer:

60 cm

Step-by-step explanation:

We know that 12x - 10x = 120.

We simplify that to 2x = 120.

That way, x = 60.

The length of the line is 60 cm.

Find the area of the shaded regions: the green is the shaded area

PLS HELP ME!!!! I NEED THE ANSWER BY THIS EVENING CUZ I HAVE RSM TOMORROW. PLS HELP!!!!!

Answers

Answer:

the green area stands for the safe operation space

Step-by-step explanation:

u say b×h meaning say 80degrees ×9cm which is 720..

The graph of the parent function f(x) = |x| is dashed and the graph of the transformed function g(x) = |x – h| is solid.

Use the slider to change the value of h. How does changing the value of h affect the vertex?

Positive values of h shift the graph .
Negative values of h shift the graph

Answers

9514 1404 393

Answer:

positive: rightnegative: left

Step-by-step explanation:

In the transformed function f(x-h), the value of h is the right shift of the parent function.

For h positive, shift is to the right.

For h negative, shift is to the left.

Changing the value of h shifts the graph horizontally. Positive values of h shift the graph to the right. Negative values shift left.

Note: there is a minus sign in front while the value of h is positive, i.e. |x - 5| is shifted 5 units to the right, and |x - (-5)| = |x + 5| is shifted 5 units to the left.

help me please pls this ur really hard help

Answers

c done it on the test

Evaluate −3w − 6p for w=2 and p = −7

Answers

-3w-6p when w=2 and p=-7

-3(2)-6(-7)

= -6 + 42

= 36

Answer:

48

Step-by-step explanation:

-3w-6p when w=2 and p--7

you want to plug in the numbers to their letters

-3(2)-6(-7)

then you want to times the numbers.

-6-42

=48

You are dealt one card from a standard​ 52-card deck. Find the probability of being dealt a diamond

Answers

The probability would be 1/52, since there are only 1 two of diamonds in all 52 cards.

Final answer. 1/52  or 1.92%

Answer:

13/52

Step-by-step explanation:

a standard 52-card deck has 13 diamond cards (1,2,3,4,5,6,7,8,9,10,J,Q,K)

P(diamond) = number of diamonds/number of cards in a deck = 13/52

The electric cooperative needs to know the mean household usage of electricity by its non-commercial customers in kWh per day. They would like the estimate to have a maximum error of 0.09 kWh. A previous study found that for an average family the variance is 5.76 kWh and the mean is 16.6 kWh per day. If they are using a 98% level of confidence, how large of a sample is required to estimate the mean usage of electricity

Answers

Answer:

A sample of 3851 is required.

Step-by-step explanation:

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Z-table as such z has a p-value of .

That is z with a pvalue of , so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Variance is 5.76 kWh

This means that [tex]\sigma = \sqrt{5.76} = 2.4[/tex]

They would like the estimate to have a maximum error of 0.09 kWh. How large of a sample is required to estimate the mean usage of electricity?

This is n for which M = 0.09. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.09 = 2.327\frac{2.4}{\sqrt{n}}[/tex]

[tex]0.09\sqrt{n} = 2.327*2.4[/tex]

[tex]\sqrt{n} = \frac{2.327*2.4}{0.09}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327*2.4}{0.09})^2[/tex]

[tex]n = 3850.6[/tex]

Rounding up:

A sample of 3851 is required.

What is the slope of the line in the graph?

Answers

Answer:

The slope of this line is 1 and the equation for the line is y=x+1

Step-by-step explanation:

So take 2 points passing through the the line (0,1), (-1,0)

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (0,1), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=0 and y1=1.

Also, let's call the second point you gave, (-1,0), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-1 and y2=0.

Now, just plug the numbers into the formula for m above, like this:

m=

0 - 1

-1 - 0

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=1x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(0,1). When x of the line is 0, y of the line must be 1.

(-1,0). When x of the line is -1, y of the line must be 0.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=x+b. b is what we want, the 1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (0,1) and (-1,0).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(0,1). y=mx+b or 1=1 × 0+b, or solving for b: b=1-(1)(0). b=1.

(-1,0). y=mx+b or 0=1 × -1+b, or solving for b: b=0-(1)(-1). b=1.

In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(0,1) and (-1,0)

is

y=x+1

What the distance between -6,2 -6,-15

Answers

The distance between (-6,2) and (-6,-15) is 17

Answer:

The answer is 17

Step-by-step explanation:

-15-2= -17

Given f(x) = 3sqrt(2x-1).
6(2x-1)^2-3

What is lim f(x)?

Answers

Answer:

[tex]\displaystyle 51[/tex]

General Formulas and Concepts:

Algebra I

Terms/CoefficientsFactoringFunctionsFunction Notation

Algebra II

Piecewise functions

Calculus

Limits

Right-Side Limit:                                                                                             [tex]\displaystyle \lim_{x \to c^+} f(x)[/tex]

Limit Rule [Variable Direct Substitution]:                                                             [tex]\displaystyle \lim_{x \to c} x = c[/tex]

Limit Property [Addition/Subtraction]:                                                                   [tex]\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)[/tex]

Limit Property [Multiplied Constant]:                                                                     [tex]\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f(x) = \left \{ {{3\sqrt{2x - 1}, \ x \leq 2} \atop {6(2x - 1)^2 - 3, \ x > 2}} \right.[/tex]

Step 2: Solve

Substitute in function [Limit]:                                                                         [tex]\displaystyle \lim_{x \to 2^+} 6(2x - 1)^2 - 3[/tex]Factor:                                                                                                           [tex]\displaystyle \lim_{x \to 2^+} 3[2(2x - 1)^2 - 1][/tex]Rewrite [Limit Property - Multiplied Constant]:                                           [tex]\displaystyle 3\lim_{x \to 2^+} 2(2x - 1)^2 - 1[/tex]Evaluate [Limit Property - Variable Direct Substitution]:                             [tex]\displaystyle 3[2(2 \cdot 2 - 1)^2 - 1][/tex]Simplify:                                                                                                         [tex]\displaystyle 51[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

How to solve
(2.31*10^-6)+(3.41*10^3)

Answers

Remove the unnecessary brackets
2.31 x 10^-6+3.41 x 10^3

Convert the decimal to a fraction
231/100 x 10^-6 + 3.41 x 10^3

Multiply
231/100 x 1/10^6 + 3.41 x 1000

Combine
231/100 x 1/10^6 + 3410

Calculate
231/(10^2 x 10^6) + 3410



Answer:
231/10^8 + 3410

Hope it helped :)

PLEASE HELP please I need this done now


The total cost of a truck rental, y, for x days, can be modeled by y = 35x + 25.
What is the rate of change for this function?

Answers
A- 35$
B-25$
C-60$
D-10$

Answers

Answer:

35

Step-by-step explanation:

y = 35x+23 is in the form

y = mx+b  where m is the slope and b is the y intercept

The slope can also be called the rate of change

35 is the slope

The answer to the question is A which is 35$

A jar contains 8 red marbles, 5 blue marbles and 3 green marbles. Christopher wins if he picks a red marble and Janet wins if he doesn’t pick a red marble. Is this game fair? Why or why not?
No, the game is not fair because Janet has a higher probability of winning than Christopher.
No, the game is not fair because Christopher has a higher probability of winning than Janet.
Yes, the game is fair because Christopher and Janet do not have an equal probability of winning.
Yes, the game is fair because Christopher and Janet have an equal probability of winning.

Answers

Answer:

Yes, the game is fair because Christopher and Janet have an equal probability of winning.

Step-by-step explanation: Christopher - Red marble=8

Janet - blue + green= 5+3= 8

Which answer choice correctly identifies the extraneous information in the problem?

Anna babysat 2 children on Saturday night. She charges $8 an hour to babysit. She wants to save the money she earns babysitting to buy a stereo system that cost $225. If Nina babysat for 5 hours, how much money did she earn?

Answers

Answer: $40 / $80

Step-by-step explanation: 40$ if it's $8 for BOTH per hour, or if it's $8 for ONE per hour it's $80

Rachel and Hugo sorted 236 crayons into boxes for a local arts project. Each box had 10 crayons. How many crayons were left over?

Help please lol

Answers

Answer:

6

Step-by-step explanation:

236/10 = 23 remainder 6, so 6 crayons is the answer

The IQR is used as a measure of variation when the distribution is ----------------.

Answers

Answer:

variability

Step-by-step explanation:

help: Write as a polynomial: 7b(4c - b) + 4c(c - 7b)

Answers

Answer:

i think its 7b^2+4c^2 ?

Step-by-step explana

Please help due tomorrow

Answers

Answer:

10x8=80 that would be the area for the picture 14x11=154 for the boards area

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