Find the unit rate for each, then compare. Which is faster?
8 laps in 70 seconds
12 laps in 98 seconds.

Answers

Answer 1

Answer:

8 laps in 70 seconds is faster.

Step-by-step explanation:

If we divide 70/8 and 98/12 we get the following:

70/8= 8.75

98/12=8.16

8.75>8.16

The unit rate is 1 lap in 8.75 seconds and 1 lap in 8.16 seconds


Related Questions

-6x-27=6
give me the answer please .

Answers

Answer:

-5.5

Step-by-step explanation:

-6x - 27 = 6

+ 27 +27

-6x = 33

÷-6 ÷-6

x = - 5.5

I am pretty sure the awnser is -5.5  because -6 Multiplied by -5.5 Is 33. 33 minus 27 is 6

please help! no links please!

Answers

The value of x is: 75°

360° - 128° - 85° - 72° = 75°

the answer is 75
all quadrilaterals equal 360°





Consider the matrix A. A- Find the characteristic polynomial for the matrix A. (Write your answer in terms of 2) (1-x)(2²) Find the real eigenvalues for the matrix A

Answers

The characteristic polynomial for matrix A is (1-x)(2²), and the real eigenvalues for matrix A are 1 and 2.The characteristic polynomial for the matrix A can be written as (1-x)(2²), where x is the eigenvalue.

The real eigenvalues for matrix A can be found by setting the characteristic polynomial equal to zero and solving for x. Since the characteristic polynomial is a product of linear factors, the eigenvalues are the values of x that make each factor equal to zero.

In this case, we have two factors: (1-x) and (2²). Setting each factor equal to zero, we find that x = 1 and x = 2 are the real eigenvalues for matrix A.

To summarize, the characteristic polynomial for matrix A is (1-x)(2²), and the real eigenvalues are 1 and 2. The characteristic polynomial captures the relationship between the eigenvalues and the matrix A, while the real eigenvalues represent the values for which the matrix A has corresponding eigenvectors.

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Question is in picture

Answers

Since it’s a right triangle, use Pythagorean theorem
a^2 + b^2 = c^2 (long hypothenuse side)
1^2 + b^2 = 2^2
1 + b^2 = 4
b^2 = 3
b = square root 3 = 1.7321 round it
Solution: 1.7 ft

Answer: 1.7

Step-by-step explanation: We can use the pythagorean theorem!

A² + B² = C²

1² + B² = 2²

1 + B² = 4

4 - 1 = B²

3 = B²

√3 = B

1.7 = B

Hope this helps :)

Is it 10? Or no pls explain

Answers

Answer:

Yes

Step-by-step explanation:

6 + 10 would equal 16

You're right, have a great day!

Answer:

yes, it is 10

Step-by-step explanation:

Subtract 16 and 6 and you get 10.

Or Subtract 6 and 6 and subtract 16 and 6.

It'll still be 10 no matter what.

Mega Electronics Stores accepts any return for items bought within two weeks. The daily number of items returned follows a normal distribution with mean C and standard deviation 40.
C=260

What is the probability that fewer than 165 items are returned on a given day?

Answers

The required probability is 0.0087 (approximately).Note: The probability is less than 0.05. Hence, we can say that the event is rare.

C = 260 (mean)Standard deviation, σ = 40Let X be the number of items returned on a given day.As the number of items returned follows a normal distribution with mean C and standard deviation 40,Therefore,X ~ N (260, 40^2)We have to find the probability that fewer than 165 items are returned on a given day.i.e. P (X < 165).

We can find the standard score, z as follows.z = (X - μ) / σz = (165 - 260) / 40z = -2.375Now, we can find the probability as follows.P (X < 165) = P (Z < -2.375) = 0.0087 (approximately)Therefore, the required probability is 0.0087 (approximately).Note: The probability is less than 0.05. Hence, we can say that the event is rare.

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16. Max is sitting in the stands at the baseball stadium. He catches a
and decides to throw it back to a player standing on first base. If the
horizontal distance from Max to the player is 61 feet and the ball travels 76
feet, what is the angle of depression from Max to the player?
Gina Wilson (All Things Algebra), 2016

Answers

Feet, what is the angle of desperation fromax 678

T/F. If isometry a interchanges distinct points P and Q, then a fixes the midpoint of P and Q.

Answers

False. If an isometry interchanges distinct points P and Q, it does not necessarily fix the midpoint of P and Q. In general, an isometry is a transformation that preserves distances between points.

However, it does not guarantee that the midpoint of two interchanged points will be fixed. Consider a simple example of a reflection about a line passing through the midpoint of P and Q. This is an isometry that interchanges P and Q but does not fix their midpoint. The midpoint would be mapped to a different point under the reflection transformation.

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Find the missing side. round to the nearest tenth.​

Answers

Answer:

14.6

Step-by-step explanation:

Sin (59) = x/17

17*sin (59) = x

17*0.857=14.57

The value of x in the triangle is x = 14.581

We have,

From  the triangle,

using the sin function.

Now,

sin = perpendicular/hypotenuse

So,

sin 59 = x/17

Now,

To solve for x in the equation sin(59°) = x/17, we can use the properties of trigonometric functions and algebraic manipulation.

First, let's isolate x by multiplying both sides of the equation by 17:

17 x sin(59°) = x

Using a calculator to evaluate sin(59°), we find:

17 x 0.857167 = x

Therefore,

The value of x is x = 14.581

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Mrs. Hinojosa had 75 feet of ribbon. If each of the 18 students in her
class gets an equal length of ribbon, how long will each piece be?
Write your answer
2. Using a whole number of feet and a whole number of inches

Answers

The answers should be 4.5 feet

What's the greatest common factor 25x^2 and 100x^4y^2

Answers

Answer:

I D K

Step-by-step explanation:

Is (2, 3) a solution to the equation y = x - 1?
yes or no
and pls explain for i can lead this already

Answers

Answer: No

Step-by-step explanation: Because if you substitute the 2 for x and 3 for y it is not equal

1.) A ball of radius 14 has a round hole of radius 8 drilled through its center. Find the volume of the resulting solid.
2.) Find the volume of the solid obtained by rotating the region enclosed by the graphs of y=9/x2 and y=10-x2 and about the line y=-9

Answers

The volume of the solid can be calculated as: V = 2π ∫[c,d] x * (h(x) + 9) dx.

To find the volume of the resulting solid, we can subtract the volume of the hole from the volume of the ball.

The volume of the ball can be calculated using the formula for the volume of a sphere: V_ball = (4/3) * π * r^3, where r is the radius of the ball. In this case, the radius of the ball is 14, so we have: V_ball = (4/3) * π * 14^3.

The volume of the hole can be calculated using the formula for the volume of a cylinder: V_hole = π * r^2 * h, where r is the radius of the hole and h is the height of the hole. In this case, the radius of the hole is 8, and since it passes through the center of the ball, the height of the hole is equal to the diameter of the ball, which is 2 * 14. So we have: V_hole = π * 8^2 * (2 * 14).

The volume of the resulting solid is then given by: V_result = V_ball - V_hole.

To find the volume of the solid obtained by rotating the region enclosed by the graphs of y=9/x^2 and y=10-x^2 about the line y=-9, we can use the method of cylindrical shells.

The volume of a solid obtained by rotating a curve around a line is given by the formula: V = 2π ∫[a,b] x * h(x) dx, where a and b are the x-values where the curves intersect, and h(x) is the distance between the line of rotation and the curve at each x-value.

In this case, the curves y = 9/x^2 and y = 10 - x^2 intersect at two points, let's say x = c and x = d. The line of rotation y = -9 is parallel to the x-axis and is located 9 units below it.

The volume of the solid can be calculated as: V = 2π ∫[c,d] x * (h(x) + 9) dx.

To find the values of c and d, we need to solve the equation 9/x^2 = 10 - x^2. Once we have the values of c and d, we can evaluate the integral to find the volume of the solid.

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Max gets a weekly allowance of $17. He spends $3 each week on snacks. He splits the rest of his allowance into equal amounts for his college fund and spending money. How much money does Max keep for spending money each week? $

Answers

Answer:

$7

Step-by-step explanation:

The amount max keeps for spending = 1/2(total allowance - amount he spends on snacks)

total allowance = $17

amount he spends on snacks = $3

Amount he would have for  his college fund and spending money. = $17 - $3 = $14

Since he splits the amount equally between his college fund and spending money, the amount he would have for spending can be determined by dividing 14 by 2

$14/2 = $7

Solve for xx to the nearest tenth.

Answers

Answer:

in right angled triangleBCD

BC=√{DC²-BC²)=√{10²-6²)=8

again in right angled triangle ABC

AB=√(BC²-AC²)

x=√(8²-7²)=3.87

20, 17, 14
Write donn
the
4 th
term​

Answers

Answer:

11

Step-by-step explanation:

you subtract 3 every time, so 14-3 = 11



Solve the initial value problem below using the method of Laplace transforms. y" - 12y' + 72y = 40 e 4 y(0) = 1, y'(0) = 10

Answers

To solve the given initial value problem using the method of Laplace transforms, we need to perform the following steps:

Step 1: Take the Laplace transform of both sides of the given differential equation.

Step 2: Solve for the Laplace transform of y.

Step 3: Take the inverse Laplace transform to obtain y.

Step 4: Use the initial conditions to find the constants in the solution obtained in Step 3.1.

Taking the Laplace transform of both sides of the given differential equation: L{y" - 12y' + 72y} = L{40e⁴}L{y" - 12y' + 72y} = 40L{e⁴}.

Taking Laplace transform of y" term L{y"} - 12L{y'} + 72L{y} = 40L{e⁴}.

Using the Laplace transform property of derivatives,

we get:s²Y(s) - sy(0) - y'(0) - 12[sY(s) - y(0)] + 72Y(s) = 40/(s - 4)

Simplifying the above equation, we get: s²Y(s) - s - 10 - 12sY(s) + 12 + 72Y(s) = 40/(s - 4)⇒ s²Y(s) - 12sY(s) + 72Y(s) = 40/(s - 4) + s + 2

Using partial fraction decomposition, we can write the right-hand side of the above equation as:40/(s - 4) + s + 2 = [10/(s - 4)] - [10/(s - 4)²] + s + 2

Now, the given equation becomes:

s²Y(s) - 12sY(s) + 72Y(s) = [10/(s - 4)] - [10/(s - 4)²] + s + 2

Taking the Laplace transform of y(0) = 1 and y'(0) = 10, we get: Y(s) = (10s + 2 + 1)/[s² - 12s + 72]

Applying partial fraction decomposition to find Y(s),

we get: Y(s) = [3/(s - 6)] - [1/(s - 6)²] + [7/(s - 6)²] + [1/(s - 6)]

Taking the inverse Laplace transform of Y(s), we get: y(t) = [3e⁶t - 3te⁶t + 7te⁶t + e⁶t]

Using the initial conditions y(0) = 1 and y'(0) = 10, we get: y(0) = 1 = 1 + 0 + 0 + 1, y'(0) = 10 = 18 - 3 + 7 + 1

Therefore, the solution to the given initial value problem is: y(t) = [3e⁶t - 3te⁶t + 7te⁶t + e⁶t]

Answer: y(t) = [3e⁶t - 3te⁶t + 7te⁶t + e⁶t]

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18
A fruit salad was prepared containing 100 g of
acerola cherries, 100 g of kiwifruit, 300 g of
pineapple, and 200 g of strawberries. What is the
total amount of vitamin C, in grams, that is
contained in the listed fruits?
A)0.7g
B)2.069g
C)700g
D)2069g

Answers

Answer to your question is going to be B

Nita is making pizza.

She needs 3/4 cup of cheese to make one whole pizza .
She has 3/8

Nita can make exactly one whole pizza or less than or more than

Answers

Answer:

Less than

Step-by-step explanation:

To see how 3/4 compares to 3/8, give em the same denominator. The simplest way is to multiply 3/4 by 2. Multiply each the numerator and denominator by 2. That gives you 6/8. She needs 6/8 but only has 3/8, so less than a pizza.

Some pls help me I’ll give out brainliest please dont answer if you don’t know

Answers

N=-11 and that should be correct

Answer:

8

n

+

24

Step-by-step explanation:

Can you answer it right now pls

Answers

Answer:

4 times 10 to the negative seventh power

Step-by-step explanation:

We can see that the decimal has 6 zeros before it, and then it’s 4.

since there are 7 digits after the decimal point, we put 10 to the negative seventh power.

that gives us 0.0000001

to get 0.0000004, we need to multiply ten to the negative seventh power (0.0000001) by 4

The answer is a. which is 4 x 10‐⁷

 
9. Let H be the set of all vectors of the form 3s. Find a 2s vector v in R3 such that H that H is a subspace of IR 3? Span {v). Why does this show 2t 10. Let H be the set of all vectors of the form 0.Show that H is a subspace of R3. (U'se the method of Exercise 9.) 11. Let W be the set of ali vectors of the formb where b and c are arbitrary. Find vectors u and v such that W Span (u, v. Why does this show that W is a subspace of R3? St 2s-t 4t 12 Let W be the set of all vectors of the form Show that W is a subspace of R4. (Use the method/of Exercise 11.)

Answers

9. H is a subspace of R3 as it contains a 2s vector [0, 2s, 0].

10. H is a subspace of R3 as it consists of the zero vector [0, 0, 0].

11. W is a subspace of R3 as it is spanned by the vectors [1,0,0] and [1,1,0].

12.W is a subspace of R4 as it is spanned by the vectors [1,2,0,0] and [0,-1,4,0].

9. To find a 2s vector v in R3 such that H is a subspace of R3, we can choose v = [0, 2s, 0]. This vector satisfies the condition of H being a subspace since it is of the form 2s, and any scalar multiple of v will also be of the form 2s, which is within H. Therefore, H is a subspace of R3.

0. Let H be the set of all vectors of the form [0, 0, 0]. To show that H is a subspace of R3, we can use the method from Exercise 9. By choosing v = [0, 0, 0],

we can see that H is closed under scalar multiplication and addition, as any scalar multiple or sum of the zero vector will still result in the zero vector. Therefore, H is a subspace of R3.

11. Let W be the set of all vectors of the form [b, c, 0], where b and c are arbitrary. To show that W is a subspace of R3, we need to find vectors u and v such that W is spanned by (u, v).

We can choose u = [1, 0, 0] and v = [0, 1, 0]. Any vector in W can be expressed as a linear combination of u and v, and therefore W is spanned by (u, v). This shows that W is a subspace of R3.

12. Let W be the set of all vectors of the form [s, 2s - t, 4t] in R4. To show that W is a subspace of R4, we can use the method from Exercise 11. By choosing u = [1, 2, 0, 0] and v = [0, -1, 4, 0],

we can observe that any vector in W can be expressed as a linear combination of u and v. Hence, W is spanned by (u, v), indicating that W is a subspace of R4.

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PLZ HELP IM BEING TIMED GIVING BRAINLIEST
Using the square root property solve (a - 10)² = 121

Answers

Answer:

21

Step-by-step explanation:

We know that the sqaure root of 121 = 11.

So, A - 10 = 11

=> A = 21

Answer:

a = -1 or a = 21

Step-by-step explanation:

take square root of each side to get:

a - 10 = [tex]\sqrt{121}[/tex]

a - 10 = 11;  a = 21

a - 10 = -11;  a = -1

GIVING BRAINLIST ANYONE WHO CAN SOLVE ANY OF THEM!!!!

Answers

Answer:

x=36

x=127

x=36

Answer:

1. 36

2. 127

3. x = 36

Step-by-step explanation:

A line is 180 degrees.

1. 180 - 144 = 36

2. 38 + 15 = 53,  180 - 53 = 127

3. 180 - 92 = 88,  88 - 16 = 72,   72 ÷ 2 = 36

A Food Marketing Institute found that 27% of households spend more than $125 a week on groceries. Assume the population proportion is 0.27 and a simple random sample of 467 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is less than 0.29? Answer =

Answers

Probability that "sample-proportion" of "households-spending" more than $125 per-week is less than 0.29 is 0.8340.

In order to calculate the probability that the sample-proportion of households spending more than $125 a week is less than 0.29, we use the sampling-distribution of sample-proportions, assuming the sample was selected using simple random sampling.

The Population-proportion (p) is = 0.27

Sample-size (n) is = 467,

Sample-proportion (p') is = 0.29,

To calculate the probability, we find the z-score corresponding to the sample proportion and then find the probability,

The formula to calculate the z-score is:

z = (p' - p)/√((p × (1 - p))/n),

Substituting the values,

We get,

z = (0.29 - 0.27)/√((0.27 × (1 - 0.27))/467),

z = 0.02/√((0.27 × 0.73) / 467),

z ≈ 0.97

We know that the probability associated with a z-score of 0.97 is 0.8340.

Therefore, the required probability is 0.8340.

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The areas of the squares adjacent to two sides of a right triangle are shown below. What is the area of the squares adjacent to the third side of the triangle

Answers

Answer:

11 square units

Step-by-step explanation:

Find the diagram attached

First we need to find the side length of the square with known areas.

Area of a square = L²

L is the side length of the square

For the green square

44 = L²

Lg = √44

For the purple square

Ap = Lp²

33 = Lp²

Lp = √33

Get the length (L) of the unknown square using pythagoras theorem;

Lg² = L²+Lp²

(√44)² = L²+(√33)²

44 = L²+33

L² = 44-33

L² = 11

Since Al = L²

Hence the area of the square adjacent to the third side of the triangle is 11 square units

If m3 is 52°, what is the measure of its vertical angle?
A.
128°
B.
38°
C.
52°
D.
142°
i need answer asap!

Answers

Answer:

C. 52 degrees

Step-by-step explanation:

Vertical angles share the same angle of measure.

can someone actually help me with this please!

Answers

Answer:

y = -2x  + 7

Step-by-step explanation:

When 2 lines are perpendicular, the relationship between their slopes m1 and m2 may be stated as

m1m2 = -1

Given the line

y = 1/2 x + 8

Comparing with the general equation of a line y = mx + c where m is the slope and c is the intercept

m = m1 = 1/2

Hence the slope of the perpendicular line m2

= -1/1/2

= -2

Given that the line passes through the points (1,5)

using the equation

y - y1 = m (x - x1)

y - 5 = -2(x - 1)

y = -2x +2 + 5

y = -2x  + 7

Solve for x , assume all segments that appear tangent are tangent.

Answers

Answer:

Step-by-step explanation:

x = 5

The value of x in the given angle is 5.

What is circle?

A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent. A circle is also known as the location of points that are evenly spaced apart from the centre. The radius of a circle is measured from the centre to the edge.

Labelling the figure,

We have,

Measure of complete angle of circle = 360 degree

∠ABC = 360 - (81 + 74)

          =  205 degree

Now from figure,

∠APE = (205 - 81 )/2

          = 62 degree

Since we know that,

∠APE = 17x - 23

Therefore,

17x - 23 = 62

17x = 85

  x = 5 degree,

Hence,

Required value is 5.

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answer this please
don't send a link ​

Answers

Answer:

Supplementary angles

Step-by-step explanation:

AEB and BEC form a straight line.

They add to 180 degrees

AEB+ BEC

150+30

180

That means that they are supplementary angles

Answer: https://www.wattpad.com/story/73852998-feathers-itachi-uchiha-deidara-x-reader-lemon

Step-by-step explanation:

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How did the oil industry alter Louisiana's environment?? A man supports himself and the uniform horizontal beam pulling the rope with a force T.The weights of men and the beam are 883 N and 245 N respectively.Calculate the tension T in the rope and the forces exerted by the pin at A. Solve the equation 6 +x/4 = 5Pls help A car dealership offers two types of discounts. Discount 1: Take 5% off the original price of a car built last year and then receive a$3,500 rebate. Discount 2: Take 10% off the original price of a car built this year and then receive a$1,250 rebate.A customer is deciding between two cars. Car R was built last year and has an original price of $25,340. Car S was built this year and has an original price of $22,860.Based on this information, which statement is true?A The customer would pay $19,324 for Car S.B The customer would pay $24,073 for Car R.C The customer would pay $21,824 for Car S.D The customer would pay $23,107 for Car R. ill put this up for 50 just please someone help me. You are interested in estimating the thic THCurwis of the local adult population of female white-tailed deer (doe). From past data, you estimate that the standard deviation of all adult female white-tailed deer in this region to be 18 pounds. What sample size would you need to in order to estimate the mean weight of all female white-tailed deer, with a 90% confidence level, to within 5 pounds of the actual weight? plssss helpuse the property that it says to solve the proportion ty Please help meee! I will give brainleiest! The Top Hat Division of Blandon's Fine Menswear had the following results last year (in thousands). Sales $4,600,000 Operating income $690,000Total assets $2,000,000 Current liabilities $230,000 Management's target rate of return is 9% and the weighted average cost of capital is 5%. What is the Top Hat Division's Residual Income (RI)? A. $276,000 B. 510,000C. $230,000 D, $460,000 What economic changes did the railroads bring? Plz ASAP Lodging is $75.00 per night. Find the cost of three nights and 7% sales tax. In addition to describing Jenner's history, this text gives an overview of the history of smallpox and related inoculation. Use the drop-down menus to order these important events. PLS HELP DO NOT TRIY THE FAKE I CANT UPLOAD STUFFThe height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.Write a question that could be answered by solving the equation 100.035d=4. bridge south america to africa, at what latitude would you build it Please help I'm begging a ACE OR GENES To help me please please help please please ASAP please please help please please ASAP please please help The cowboys face is tough as tanned leather. what is the connection between these things You are on a TV game show and can choose one of the following. Which would youtake? eBook Print References On January 1, 2021, the Highlands Company began construction on a new manufacturing facility for its own use. The building was completed in 2022. The company borrowed $1,500,000 at 10% on January 1 to help finance the construction. In addition to the construction loan, Highlands had the following debt outstanding throughout 2021: $8,000,000, 15% bonds $2,000,000, 10% long-term note Construction expenditures incurred during 2021 were as follows: January 11 March 31 June 30 September 30 December 31 5660,000 1,260,000 Check my work 872,000 660,000 460,000 Required: Calculate the amount of interest capitalized for 2821 using the specific interest method. (Do not round the intermediate calculations. Round your percentage answers to 1 decimal place (i:e. 0.123 should be entered as 12.3 % ).) Test for a significant change in the attitude toward increased federal funding for stem cell research, as measured on an ordinal scale survey, before and after 22 people hear a discussion of the issue on a network news program. help please will give brainliest