Angela and Jayden were at track practice. The track is 2/5 kilometers around. Angela ran 1 lap in 2 Minutes. Jayden ran 3 laps in 5 minutes. How many minutes does it take Angela to run one kilometer? What about Jayden?

Answer: 2pi

\(l=\frac{\pi .4.90 }{180}=2\pi\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x^2 + 7x + 3 = 1

4x^2 + 7x + 4 = 0

-7 ± \(\sqrt{49 -64}\)

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

      8

(Sorry, first time making complex equations)

-7 ± \(\sqrt{-15}\)

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

      8

Answer:

y = -8

Step-by-step explanation:

I'm not sure if you miswrote the question, but I can't solve this question because there is no x in the equation, so I wonder if the valuable z is x.

I will answer the question by y = | x | - 9

y = | 1 | - 9

y = 1 - 9

y = -8

The integral ∫[3 to 7] x/(2 + x^4) dx can be expressed as a limit of Riemann sums. The Riemann sum is an approximation of the integral by dividing the interval [3, 7] into subintervals and evaluating the function at sample points within each subinterval.

To express the integral as a limit of Riemann sums, we start by dividing the interval [3, 7] into n equal subintervals. Let Δx be the width of each subinterval, given by Δx = (b - a)/n, where a = 3 is the lower limit and b = 7 is the upper limit. Hence, Δx = (7 - 3)/n = 4/n.

Next, we choose the right endpoints of each subinterval as our sample points. So, for the i-th subinterval, the sample point is xi = a + iΔx = 3 + i(4/n).

Now, we can express the integral as a limit of Riemann sums. The Riemann sum for the given integral is:

Σ[1 to n] (x_i)/(2 + (x_i)^4) Δx

Substituting the values for xi and Δx, we get:

Σ[1 to n] ((3 + i(4/n)) / (2 + (3 + i(4/n))^4)) (4/n)

This Riemann sum represents the approximation of the integral using n subintervals and the right endpoints as sample points. To obtain the integral, we take the limit as the number of subintervals approaches infinity, which is expressed as:

lim[n→∞] Σ[1 to n] ((3 + i(4/n)) / (2 + (3 + i(4/n))^4)) (4/n)

Evaluating this limit will yield the exact value of the integral. However, since we were asked to express the integral as a limit of Riemann sums without evaluating the limit, we stop here and leave the expression in terms of the limit.

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Answer:

The amount of more money than Antonia that Cal will have in his account after 12 months is $100

Step-by-step explanation:

The given parameters are;

The amount Antonia currently has in her savings account, P₁ = $4,500

The amount Antonia saves per month, S₁ = $150

The amount Cal currently has in his savings account, P₂ = $3,400

The amount Cal saves per month, S₂ = $250

Let the

The amount, 'A₁', Antonia has in 12 months is given as follows;

A₁ = P₁ + 12 × S₁

∴ A₁ = $4,500 + 12 × $150 = $6,300

Similarly, the amount, 'A₂', Cal has in 12 months is found as follows;

A₂ = P₂ + 12 × S₂

∴ A₂ = $3,400 + 12 × $250 = $6,400

The amount of money than Antonia that Cal will have after 12 months, 'A₂₋₁', is given as follows;

A₂₋₁ = A₂ - A₁ = $6,400 - $6,300 = $100.

The amount of money than Antonia that Cal will have after 12 months, A₂₋₁ = $100.

You will input your desired power (0.85), significance level (0.05), and other necessary information such as effect size and standard deviation, which are dependent on the specific context of your tire experiment.

To determine the number of tires that should be sampled to achieve a power of 0.85 in a hypothesis test at the 5% significance level, you'll need to consider a few factors such as effect size, standard deviation, and critical value.

Power analysis is a crucial step in experimental design and helps to ensure that the test is sensitive enough to detect meaningful differences between groups, while maintaining a low probability of making a Type I error (false positive).

In this context, power is the probability of correctly rejecting the null hypothesis when it is false, and the 5% level indicates the maximum probability of making a Type I error. To achieve a power of 0.85, you will need to perform a power analysis using a statistical software or a power analysis calculator.

You will input your desired power (0.85), significance level (0.05), and other necessary information such as effect size and standard deviation, which are dependent on the specific context of your tire experiment. The output will provide you with the required sample size to achieve the desired power.

Keep in mind that increasing the sample size generally leads to higher power, but also requires more resources and time. It is essential to balance these factors while designing your experiment to ensure meaningful results without unnecessary costs.

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Answer:

5

Step-by-step explanation:

(0.000064)^5/6 divided by (0.00032)^6/5

(0.00032)^6/5=(0.000064)

and

(0.000064)^6/5=(0.00032)

so now we have (0.00032) divided by (0.000064)

which is 5!

hope this helps!

Answer: yes

Step-by-step explanation: no

Find the scale factor: StartFraction enlarged over original EndFraction = StartFraction 6 over 3 EndFraction = 2

Calculate the perimeter of the original figure.

Multiply the perimeter of the original figure by the scale factor.

Step-by-step explanation:

A, C, D

The steps which could be used to find the perimeter are Find the scale factor: enlarged over original = 6 over 3 = 2, Calculate the perimeter of the original figure and Multiply the perimeter of the original figure by the scale factor.

Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.

Given that,

A smaller triangle has side lengths 4, 5, 3. A larger triangle has side lengths 8, 10, 6.

First find the scale factor.

Scale factor of enlarged over original = 8/4 = 10/5 = 6/3 = 2

Now, find the perimeter of the original figure.

Perimeter of the original figure = 4 + 5 + 3 = 12

Now.

Perimeter of enlarged figure = Scale factor × Perimeter of original figure

= 2 × 12

= 24

Hence the correct steps are first, third and last step.

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The volume of the new box is 30 units^3.

We can infer the roots are rational integers from the response options, thus this polynomial ought to be simple to factor. The coefficients of x must multiply by 10, hence they must be in some sequence of 5,2,1 or 10,1. Since we can try each one separately, we can express the factored form as follows:

                                       (5x-p)(2x-q)(x-r)

Due to the fact that p, q, and r must multiply to 6, they must be either 3,2,1 or 6,1,1 in some sequence. Once more, we may test each one in a different place to determine if they multiply properly.

When we multiply the x-terms and attempt (5x-2)(2x-1)(x-3), the answer is 29. Try adding the x^2 terms together; they equal -39. Consequently, the roots are \(\frac{2}{5} , \frac{1}{2} and 3.\) Now if you add 2 to each root, you get the volume is

=> \(\frac{12}{5} X \frac{5}{2} X 5 =30\)

Therefore, The volume of the new box is 30 units^3.

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Answer:

Step-by-step explanation:

4 cuts will divide the wire link into 5 pieces

Each piece is:

Option B is correct

Triangle ABC

Apply rule of Cosin

If 12^ + 9^2 - 2•12•9 Cos X= 18^2

Then

144+ 81 - 216CosX = 324

CosX = (324 -225)/(-216) = 99/-216

CosX = -0.46

Then answer is YES, its a triangle because CosX only have values

between -1 and 1, and -0.46 is between them

The probability that at least two of the balls have the same number is 27.40%

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

Probability requested is equivalent to:

P(at least 2 have same number) = 1 - P(no 2 have the same number)

P(no 2 have same number) = No. of ways to succeed / No. of possible outcomes

No. of ways to succeed = 90P8

No. of possible outcomes = 90^8

No. of ways to succeed =

nPr = n! / (n-r)!

90P8 = 90! / (90-8)!

90P8 = 90! / (82)!

90P8 = 90*89*88*87*86*85*84*83*82! / [(82)!

90P8 = 90*89*88*87*86*85*84*83

90P8 = 3.13x10^15

P(no 2 have same number) = 3.13x10^15 / 90^8

P(no 2 have same number) = 0.73

P(at least 2 have same number) = 1 - P(no 2 have the same number)

P(at least 2 have same number) = 1 - 0.73

P(at least 2 have same number) = 0.2740 = 27.40%

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Answer:

Its D

Step-by-step explanation:

Answer:

infinitely many solutions

Step-by-step explanation:

we have: x+6y= 3

5x+30y=15

where a1/a2 = b1/b2 = c1/c2 (1/5 = 6/30 = 3/15)

Thus, the system has infinitely many solutions.

another approach:

convert to slope-intercept form

y= -1/6x + 1/2

y= -1/6x + 1/2

thus, the system has infinitely many solutions.

(explain: if two lines have a same slope (-1/6), they can be either parallel or coincided. But in this case, they also have a same y-intercept so they must be the latter case)

Answer:

-7

Step-by-step explanation:

-7-2= -9

-7+5= -2

-9×-2=18

Answer: n = - 13/4

Step-by-step explanation: got it correct :)

Answer:

0.04 or 4%

Step-by-step explanation:

-A fraction consists of two numbers and a fraction bar: 0.5/12.5

- The number above the bar is the numerator: 0.5

The number below the bar is the denominator: 12.5

-Divide the numerator by the denominator to get fraction's value: Val = 0.5 ÷ 12.5

Calculate fraction's value.

Divide the numerator by the denominator to get fraction's value:

0.5 ÷ 12.5

= 0.04

Note:100/100 = 100 ÷ 100 = 100% = 1Multiply a number by the fraction 100/100,... and its value doesn't change.0.04 =

= 0.04 × 100/100

= (0.04 × 100)/100

= 4/100

= 4%;

1) Calculate fraction's value.

2) Multiply that number by 100.

3) Add the percent sign % to it.

Answer:

0.5÷12.5 = 4%

Answer:

I got 32.25

Step-by-step explanation:

I did .23 times 10 then added on to 29.95

Answer:

32.25$

Step-by-step explanation:

i did the math

29.95

plus

.23*10= 2.30

29.95 plus 2.30= 32.25

this is why I think it's the answer but plz tell me if I'm wrong

Answer:

i think its c 6-6 so good luck

The half-life, T, for a particular radioactive element is 3 min. The decay rate is   23.1%  per min

The decay rate can be found using the formula:
decay rate = (ln 2) / T

where ln is the natural logarithm.

Substituting T = 3 min, we get:
decay rate = (ln 2) / 3

Using a calculator,  we can evaluate this expression to get:
decay rate = 0.231049

To convert this to a percentage, we multiply by 100:
decay rate = 23.1049%

Therefore, the decay rate of the radioactive element is 23.1% per minute ( rounded to the nearest tenth)

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Answer:

I believe it's 2x²-8x + 1

Step-by-step explanation:

Combine like terms

2x²- 3x - 5x + 1

2x²- 8x + 1

Answer:

Answer is A

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

x − 3y

Let x =3 and y = -2

3 -3(-2)

3 + 6

9

Answer:

110

Step-by-step explanation:

Rate or proportion shows the relationship between the variation in the  number of two variables.

Given that the ratio of alternative songs to total songs is 9:14.

Total songs = 308

Since the to every 14 total songs, there is 9 alternative songs.

Thus,

Number of alternative songs = \(\frac{9}{14}\) x 308

                                                = 198

There are 198 alternative songs in the music library.

The number of songs that are NOT alternative songs = 308 - 198

                                                                                         = 110

Thus, there are 110 songs that are NOT alternative songs.

The value of the line integral is 1/3.

To use Green's theorem to evaluate the line integral, we need first to find the curl of the vector field (M, N):

M = √(1-\(x^{3}\))dx

N = 2xydy

Taking partial derivatives of M and N with respect to x and y, respectively, we get:

∂M/∂y = 0

∂N/∂x = 2y

So the curl of (M, N) is:

curl(M,N) = ∂N/∂x - ∂M/∂y = 2y

Now we can apply Green's theorem:

∮C (M dx + N dy) = ∬R curl(M,N) dA

where C is the oriented boundary of the region R.

The region R is the triangle with vertices(0,0), (1,0), and (1,3).

We can express R as:

R = {(x,y) : 0 ≤ x ≤ 1, 0 ≤ y ≤ 3x}

The integral on the right-hand side of Green's theorem can be evaluated using iterated integrals:

∬R curl(M,N) dA

= ∫x=0..1 ∫y=0..3x 2y dy dx

= ∫x=0..1 \(x^{2}\) dx

= 1/3

So the line integral is:

∮C (M dx + N dy) = ∬R curl(M,N) dA = 1/3

Therefore, the value of the line integral is 1/3.

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The quantity of purple marbles that Leslie has would be = 32 purple marbles.

The number of bags of marbles that Leslie has = 6 bags.

The quantity of marbles that is found in each bag = 16 marbles.

Therefore the total number of marbles = 6× 16 =96 marbles.

The fraction of purple marbles that Leslie has = 1/3 of 96

Therefore the total number of purple marbles the Leslie have = 1/3× 96 = 32

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Complete question:

Leslie has 6 bags of marbles. Each bag has 16 marbles. If ⅓ of the marbles are purple, how many purple marbles does Leslie have?

To find T((5, -4)), we can use the linearity property of linear transformations. First, we can express (5, -4) as a linear combination of the given basis vectors:(5, -4) = 5*(1, 2) + (-6)*(0, 1)

Since T is a linear transformation, we can apply it to each term separately:

T((5, -4)) = T(5*(1, 2) + (-6)*(0, 1))

Using the linearity property of T, we have:

T((5, -4)) = 5*T((1, 2)) + (-6)*T((0, 1))

From the given information, we know that T((1, 2)) = (2, 3) and T((0, 1)) = (1, 4). Substituting these values, we get:

T((5, -4)) = 5*(2, 3) + (-6)*(1, 4)

= (10, 15) + (-6, -24)

= (10 + (-6), 15 + (-24))

= (4, -9)

Therefore, T((5, -4)) is (4, -9). None of the options provided match this result, so the correct answer is not among the given choices.

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Hi!

Your answer would be: D) Exactly 45

Reason being: $18,000 divided by $400 equals 45 lawn mowers.

Therefore, the answer is D, exactly 45.

Hope this helps!

Answer:

At most 45

Step-by-step explanation:

Answer:

36°

Step-by-step explanation:

I used an online protractor to solve it