Mariah swam her leg of the race in 24.98 seconds and Janet swam her leg of the relay race in 25.874 seconds. What was their combined time for their part of the relay?

Answers

Answer 1

Answer:

50.854 seconds

Step-by-step explanation:

24.98 + 25.874 = 50.854 seconds


Related Questions

Solve for 2x^2=50
Please help

Answers

Answer:

Equation:

2x^2 = 50

Divide by 2:

x^2 = 25

Take the square root:

x = 5, or -5.

Let me know if this helps!

Answer:

x=5

x=−5

Step-by-step explanation:

University Trailer Sales Company sold 356 utility trailers during a recent year. If the gross annual sales for the company was ​$328128​, what was the average selling price for each​ trailer?

The average selling price of each trailer was nearly ​$
​(Round to the nearest whole​ number.)

Answers

Answer:

The Answer is 2000$..........

Is this a function help

Answers

Yes because it create lines that won’t hit two points (probably doesn’t make sense)

What is the congruence correspondence, if any, that will prove the given triangles congruent?

A. ASA
B. SSS
C. SAS
B. HL

Answers

Answer:

HL

Step-by-step explanation:

The congruence correspondence between the two given triangles is HL as one leg and hypotenuse are given equal.

----------------------

OAmalOHopeO

----------------------

what is the area of rectangle

Answers

Answer:

Step-by-step explanation:

I really need help with this​

Answers

Answer:

G=21, F=9, M=6, L=7, E=20, D=15, B=10, R=12.5, T=16, N=13.5, W=18, H=36, Z=12

*I=5*

Step-by-step explanation:

I basically just found the scale factor/proportion from two given sides and then used that to find the remaining sides.

*I'm not sure about 'I' since the edge of the paper was cut off so I want sure if it was a 5 or a 15 on the left most problem in the third row. I assumed it was 15. If it's not, just shout it out in the comments and I'll fix it! :)*

You can fill the letters in at the bottom XD

I hope this helped! :D

A plane traveled 4425 miles with the wind in 7.5 hours and 3675 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind.

Answers

Answer:

540 and 50 respectively

Step-by-step explanation:

Let the speed of plane in still air be x and the speed of wind be y.

ATQ, (x+y)*7.5=4425 and (x-y)*7.5=3675. Solving it, we get x=540 and y=50

Piecewise functions alg1

Answers

Answer:

C. 0

Step-by-step explanation:

Since we are finding f(-4), we use the first function since -4 is less than -2.

f(-4) = (-4) + 4 = 0

Therefore, the answer is C.

The property taxes on a house were $1000. What was the tax rate if the house was valued at $125,000

Answers

Answer:

The tax rate was 0.8%

Step-by-step explanation:

Set up an equation:

x = tax rate

1000/125000 = x/100

Cross multiply:

1000 × 100 = 125000 × x

100000 = 125000x

0.8 = x

Check your work:

1000/125000 = 0.8/100

0.008 = 0.008

Correct!

Another way to check your work:

1000 × 100 = 125000 × 0.8

100000 = 100000

Correct!

A store sells chocolate in the form of letters of the English alphabet. Identical letters have the same price, different letters have different prices. It is known that the word ONE costs $6, the word TWO costs $9, and the word ELEVEN costs $16. How much does the word TWELVE cost?

Answers

Answer:

20

Step-by-step explanation:

The ratio of two numbers is 9 to 8, and their sum is 187. What are the numbers?

Answers

Answer:  99 and 88

=========================================================

Explanation:

The ratio of the two numbers is 9 to 8, which we can write as shorthand into 9:8

Multiplying both parts by x gets us the ratio 9x:8x where x is nonzero.

The numbers 9x and 8x add up to 187, so,

9x+8x = 187

17x = 187

x = 187/17

x = 11

Which then means

9x = 9*11 = 998x = 8*11 = 88

are the two numbers. Note how 9x+8x = 99+88 = 187 to help confirm the answers. Furthermore, note how 99:88 reduces to 9:8 after dividing both parts by the GCF 11.

Answer:

99 and 88

Step-by-step explanation:

Let the two number be 9x and 8x

Add together

9x+8x = 187

17x = 187

Divide by 17

17x/17 = 187/17

x = 11

The numbers are

9*11 = 99

and 8*11 = 88

3. Solve x^7 - 11x^6 +48X^5 - 120x^4 + 225x^3 - 243x^2 - 162X + 486 = 0. (1 point)
-x=-1, x = +61, x = 3 with multiplicity 4
-x=-1 with multiplicity 5, x = 3 with multiplicity 2
-x = -1, x = + v6i, x = 3 with multiplicity 4
-x = -1 with multiplicity 3, x = V6, X = 3 with multiplicity 2

Answers

Answer:

Entrada

{-x = -1, x = +61, x = 3}

Resultado

{-x = -1, x = 61, x = 3}

Alternate form

{x = 1, x = 61, x = 3}

The answer will be  [tex]x=-1,\:x=3,\:x=\sqrt{6}i,\:x=-\sqrt{6}i[/tex]

What is Equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation.

Given equation:

x^7 - 11x^6 +48X^5 - 120x^4 + 225x^3 - 243x^2 - 162X + 486 = 0.

x^7 +48X^5+ 225x^3+ 486 = 11x^6+ - 120x^4 + 243x^2 + 162x

On solving

[tex]\left(x+1\right)\left(x-3\right)^4\left(x^2+6\right)=0[/tex]

[tex]\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0[/tex]

[tex]x+1=0\quad \mathrm{or}\quad \:x-3=0\quad \mathrm{or}\quad \:x^2+6=0[/tex]

Hence, the solution is [tex]x=-1,\:x=3,\:x=\sqrt{6}i,\:x=-\sqrt{6}i[/tex]

Learn more about equation here:

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What are the odds against picking a red marble from a bag of 10 green marbles, 10 yellow marbles, and 5 red marbles?

Answers

5 out of 25
pick the chance over
add all possibilities
P(red) = 5/25 = 1/5……………

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! PLEASE explain thoroughly. Chapter 9 part 1

1. How can you determine the end behaviors for a graph from the function? What are the possible behaviors?

2. How is solving a polynomial inequality different from a solving a polynomial equation? How do the solutions differ?

3. What is a composite function? How does order of the composite function play a role in solving the composition?

Answers

9514 1404 393

Explanation:

1. End behavior is the behavior of the function when the value of the independent variable gets large (or otherwise approaches the end of the domain). There are generally four kinds of end behavior:

the function approaches a constant (horizontal asymptote)the function approaches a function (slant asymptote, for example)the function oscillates between two of the above end behaviorsthe function tends toward +∞ or -∞

Of these, behavior 2 will ultimately look like one of the others.

For polynomials, the function will always approach ±∞ as the independent variable approaches ±∞. Whether the signs of the infinities agree or not depends on the even/odd degree of the polynomial, and the sign of its leading coefficient.

For exponential functions, the end behavior is a horizontal asymptote in one direction and a tending toward ±∞ in the other direction.

For trig functions sine and cosine, the end behavior is the same as the "middle" behavior: the function oscillates between two extreme values.

For rational functions (ratios of polynomials), the end behavior will depend on the difference in degree between numerator and denominator. If the degree of the denominator is greater than or equal to that of the numerator, the function will have a horizontal asymptote. If the degree of the numerator is greater, then the end behavior will asymptotically approach the quotient of the two functions—often a "slant asymptote".

__

2. A polynomial inequality written in the form f(x) ≥ 0, or f(x) > 0, will be solved by first identifying the real zeros of the function f(x), including the multiplicity of each. For positive values of x greater than the largest zero, the sign of the function will match the sign of the leading coefficient. The sign will change at each zero that has odd multiplicity, so one can work right to left to identify the sign of the function in each interval between odd-multiplicity zeros.

The value of the function will be zero at each even-multiplicity zero, but will not change sign there. Obviously, the zero at that point will not be included in the solution interval if the inequality is f(x) > 0, but will be if it is f(x) ≥ 0. Once the sign of the function is identified in each interval, the solution to the inequality becomes evident.

As a check on your work, you will notice that the sign of the function for x > max(zeros) will be the same as the sign of the function for x < min(zeros) if the function is of even degree; otherwise, the signs will be different.

The solution to a polynomial inequality is a set of intervals on the real number line. The solution to a polynomial equation is a set of points, which may be in the complex plane.

__

3. A composite function is a function of a function, or a function of a composite function. For example f(g(x)) is a composite function. The composition can be written using either of the equivalent forms ...

  [tex](f\circ g)(x)\ \Leftrightarrow\ f(g(x))[/tex]

It can be easy to confuse an improperly written composition operator with a multiplication symbol, so the form f(g(x)) is preferred when the appropriate typography is not available.

When simplifying the form of a composition, the Order of Operations applies. That is, inner parenthetical expressions are evaluated (or simplified) first. As with any function, the argument of the function is substituted wherever the independent variable appears.

For example, in computing the value f(g(2)), first the value of g(2) is determined, then that value is used as the argument of the function f. The same is true of other arguments, whether a single variable, or some complicated expression, or even another composition.

Note that the expression f(g(x)) is written as the composition shown above. The expression g(f(x)) would be written using the composition operator with g on the left of it, and f on the right of it:

  [tex](g\circ f)(x)\ \Leftrightarrow\ g(f(x))[/tex]

That is, with respect to the argument of the composition, the functions in a composition expression are right-associative. For example, ...

  for h(x)=2x+3, g(x)=x^2, f(x)=x-2 we can evaluate f(g(h(x)) as follows:

  f(g(h(x)) = f(g(2x+3) = f((2x+3)^2) = (2x+3)^2 -2

It should be obvious that g(h(f(x)) will have a different result.

  g(h(f(x)) = g(h(x-2)) = g(2(x-2)+3) = (2(x-2)+3)^2

Prove that sin2α = 2sinαcosα

Answers

Answer:

Here is your answer . hope this helps.

The width of a rectangle is three units less than the length if the area is 28 square units then find the dimensions of the rectangle

Answers

Let

width be xLength=x+3

ATQ

[tex]\\ \sf \longmapsto Area=Length\times Width[/tex]

[tex]\\ \sf \longmapsto x(x+3)=28[/tex]

[tex]\\ \sf \longmapsto x^2+3x=28[/tex]

[tex]\\ \sf \longmapsto x^2+3x-28=0[/tex]

[tex]\\ \sf \longmapsto x^2+7x-4x-28=0[/tex]

[tex]\\ \sf \longmapsto x(x+7)-4(x+7)=0[/tex]

[tex]\\ \sf \longmapsto (x-4)(x+7)=0[/tex]

[tex]\\ \sf \longmapsto x=4\:or\:x=-7[/tex]

Ignore negative value

[tex]\\ \sf \longmapsto Width=4units[/tex]

[tex]\\ \sf \longmapsto Length=4+3=7units[/tex]

A clothing factory makes small, medium, and large sweaters. Last week, the factory made
1,612 sweaters. The factory made 3 times as many small sweaters as large sweaters. They
made 3 times as many medium sweaters as small sweaters.
How many small sweaters did the factory make last week?

Answers

This requires finding the number of small sweaters the company made last week

Number of small sweaters the company produced last week is 372

Total sweaters made = 1,612

Let

Small sweaters = 3x

Medium sweaters = x

Large sweaters = 3(3x) = 9x

Total = small + medium + large

1,612 = 3x + x + 9x

1612 = 13x

Divide by 13

x = 1612/13

Medium sweaters = x = 124

Small sweaters = 3x

= 3(124)

= 372

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Helppppp, i dont know how to do this problem

Answers

Answer:

(3, -5) (4, -5) (2, -7)

Step-by-step explanation:

An integer is any whole number that is not a fraction, they include -10204, -3, 0, 5, and 8592. (random numbers)

A coordinate with integers can be anything such as (0, 4582) and (547, 42)

However, it can not be (0.45846, 4579) or (54.42, 58).

To determine which points have coordinates that look like they are integers, you just have to select 3 points that lie at the intersection of the y and x value tic marks

You can see that (3, -5) is at the intersection of the x value 3 tic mark and the y value -5 tic mark, while also being on the parabola.

While walking in the country, you count 39 heads and 116 feet in a field of cows and chickens. How many of each animal are there?

Answers

Answer: 58

Step-by-step explanation:

its 58 because chickens have two feet each so divide 2 %  166 and its 58

because each chicken has 2 legs count the 2 legs up to 116 then u get ur answer

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! Chapter 11a
Please SHOW YOUR WORK THOROUGHLY!! ​

Answers

9514 1404 393

Answer:

vertical shift: 7 (up)horizontal shift: 2 (right)vertical asymptote: x=2domain: x > 2range: all real numbers

Step-by-step explanation:

For any function f(x), the transformation f(x -h) +k represents a horizontal shift of h units to the right and k units upward.

Here, the parent function is log₂(x) and the transformation to log₂(x -2) +7 represents translation 2 units right and 7 units upward.

The parent function has a vertical asymptote at x=0, so the shifted function will have a vertical asymptote at x-2=0, or x = 2.

The parent function has a domain of x > 0, so the shifted function will have a domain of x-2 > 0, or x > 2.

The parent function has a range of "all real numbers." Shifting the function vertically does not change that range. The range of the shifted function is still "all real numbers."

The graph is shown below. The vertical asymptote is the dashed orange line.

_____

The "work" is in matching the pattern f(x -h) +k to the function log₂(x -2) +7.

Carlos is an administrative assistant at an insurance agency. He wants to gather feedback from customers on their service. He doesn't have a lot of time, and he wants to have some data to share with his supervisor. What is the best way for Carlos to gather feedback? O a) Individual interviews O b) Survey O c) Focus group d) Phone calls

Answers

Answer: b) Surveys

When a person does not have enough time he must should take the faster and effective route in this case carlos does not have time for individual interviews or phone calls. Focus group is not used to get feedback it is to discuss about data before a item is launched. Therefore it should be survey because it is used to collect feedback from large amount of people.

Must click thanks and mark brainliest

integration of 3^x (1-3^(x+1)^9)dx​

Answers

Step-by-step explanation:

the answer is in picture

8. Write (2x + 1)(x - 3)(x - 2) in standard form.
2x3 - 9x2 + 6
2x3 - 9x2 + 7x + 6
O
2x3 + 7x - 9x2 + 6
O
7x + 2x3 - 9x2 + 6

Answers

Answer:

2x^3 - 9x^2 + 7x + 6

Step-by-step explanation:

(2x + 1)(x - 3)(x - 2)=2x^3 - 9x^2 + 7x + 6

I need help as soon as possible at 20 points

Answers

9514 1404 393

Answer:

  (15/14)² = 225/196

Step-by-step explanation:

Evaluating the expressions inside parentheses, we can see they are the same, eliminating a bit of work.

  [tex](\frac{5}{7}\times\frac{3}{2})^5\div(\frac{5}{2}\times\frac{3}{7})^3=(\frac{15}{14})^5\div(\frac{15}{14})^3=(\frac{15}{14})^{5-3}=\boxed{(\frac{15}{14})^2=\frac{225}{196}}[/tex]

 Solve each system by graphing.

Answers

9514 1404 393

Answer:

  (x, y) = (4, -4)

Step-by-step explanation:

A graphing calculator makes graphing very easy. The attachment shows the solution to be (x, y) = (4, -4).

__

The equations are in slope-intercept form, so it is convenient to start from the y-intercept and use the slope (rise/run) to find additional points on the line.

The first line can be drawn by staring at (0, -2) and moving down 1 grid unit for each 2 to the right.

The second line can be drawn by starting at (0, 2) and moving down 3 grid units for each 2 to the right.

The point of intersection of the lines, (4, -4), is the solution to the system of equations.

Find the future value of each deposit if the account pays (a) simple interest, and (b) interest compounded annually! $700 at 3% for 6 years​

Answers

Answer:

NO ANSWER

Step-by-step explanation:

REASON A: Simple interest, and- its not complete

Jason can peel 15 potatoes in 25 minutes. Janette can peel 8 potatoes in 1/10 hour. If they start peeling at the same time how many
minutes will it take them to peel 406 potatoes?

Answers

9514 1404 393

Answer:

  210 minutes

Step-by-step explanation:

Jason's rate of peeling is ...

  (15 potatoes)/(25 minutes) = 15/25 potatoes/minute = 3/5 potatoes/minute

Janette's rate of peeing potatoes is ...

  (8 potatoes)/(6 minutes) = 4/3 potatoes/minute

Their combined rate is ...

  (3/5 +4/3) = (9 +20)/15 = 29/15 . . . . potatotes/minute

Then the time required for 406 potatoes is ...

  (406 potatoes)/(29/15 potatoes/minute) = (406×15/29) minutes

  = 210 minutes

?
6.2
Divided by 1/2

Answers

Answer:

The answer is 3.1

[tex]6.2 \div \frac{1}{2} = 3.1[/tex]

If we were to convert it into a **FRACTION** the answer would be : 31/10.

And that i an improper fraction, but as a **MIXED NUMBER** : [tex]3 \frac{1}{10}[/tex]

All answers would be : 3.1 , 31/10 and 3 1/10

Answer:

0.5167

Step-by-step explanation:

6.2/12 first rewrite 6.2 as an improper fraction or 36/5 then multiply by 1/12 to get the solution of 0.5167.

Prove a proof please

Answers

Answer:

They look similar

They look similar and they are the exact same just on different sides

A graphics designer is designing an advertising brochure for an art show. Each page of the brochure is rectangular with an area of 52 in^2 and a perimeter of 30in. Find the dimensions of the brochure. The longer side is _____in. The shorter side is ______ in.

Answers

9514 1404 393

Answer:

9.562 in5.438 in

Step-by-step explanation:

The sum of side lengths of a rectangle is half the perimeter, so is 15 inches for this brochure. If x is one of the side lengths, then (15 -x) is the other one, and the area is ...

  x(15 -x) = 52

  x^2 -15x = -52 . . . . multiply by -1 and expand

  (x -7.5)^2 = -52 +56.25 = 4.25 . . .  complete the square

  x = 7.5 ±√4.25 ≈ {5.438, 9.562} . . . inches

The longer side is 7+√4.25 ≈ 9.562 inches; the shorter side is 7-√4.25 ≈ 5.438 inches.

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