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50 POINTS AND BRAINILEST!!!!!

Stanley runs, swims, and bikes every day. During these workouts, he runs at 9 mph, bikes at 16 mph, swims at 2.5 mph. Yesterday, he ran for half an hour longer than he swan, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles. What distance did Stanley cover while swimming?

Answer:

Step-by-step explanation:

Melonie,  k = 2*10,  is another way to look at this

I think you can get the answer now

k = 20 , if you're not sure

The correct answer is C. A normal distribution is a symmetric probability distribution that is bell-shaped when graphed. When plotted on a horizontal scale, the curve starts on the horizontal axis, rises to a central peak, and then falls back to the horizontal axis.

The curve is symmetric, meaning that the left and right halves of the curve are mirror images of each other. The curve approaches the horizontal axis but never touches it, which indicates that there is a non-zero probability of observing values at any distance from the mean, although the probability decreases as the distance from the mean increases.

Normal distribution is a type of probability distribution that is commonly found in natural and social phenomena, where the majority of the observations tend to cluster around the mean, with fewer observations further away from the mean.

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Answer:

A) 427 × 3 = 400 × 3 + 20 × 3 + 7 × 3

Step-by-step explanation:

\(427*3=(400+20+7)*3=(400*3)+(20*3)+(7*3)\)

Therefore, the first option is correct

There are several ways to answer this. All involve finding a way to calculate the area of shapes we're familiar with and using those areas to find the area of this unusual shape. I've included three different ways, all of which yield the same total area.

In the first case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AE. That will give you a square and a trapezoid. The area of the square is (2 m)(5 m) = 10 m², and the area of the trapezoid is (0.5)(9 m - 5 m)(4 m + 4 m - 2 m) = 12 m². So the area of the entire shape is 10 m² + 12 m² = 22 m².

In the second case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AB. That will give you a rectangle and a triangle. The area of the rectangle is (2 m)(9 m) = 18 m². The area of the triangle is (0.5)(4 m - 2 m)(9 m - 5 m) = 4 m². So the area of the entire shape is 18 m² + 4 m² = 22 m².

In the third case, you can imagine that this shape is a piece of a larger rectangle with sides 4 m and 9 m with an area of 36 m². The area of this shape would be the difference between 36 m² and the area of the imaginary trapezoid that fills in rest of the rectangle. That trapezoid would have an area of (0.5)(4 m - 2 m)(9 m + 5 m) = 14 m². So the area of the shape given would be 36 m² - 14 m² = 22 m².

In any case, the area of the shape is 22 m².

The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is

5y + 2(3y − 1) = 12 y − (y + 2)

The number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side

The comparison will show the number that can fit in the blank

Simplifying the equation at the left hand side of the equation

= 5y + 2(3y − 1)

= 5y + 6y − 2

= 11y - 2

Simplifying the equation at the right hand side of the equation

=  ⬜y − (y + 2)

let x represent the missing number

=  xy − (y + 2)

=  xy − y - 2

comparing both equations

11y - 2 =  xy − y - 2

11y =  xy − y

11y + y =  xy

12y = xy

x = 12

The missing value = 12

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Answer:

Step-by-step explanation:

Answer:

(2,9) (4,9) (6,10) (8,11)

Step-by-step explanation:

X is the input. Y is the output. In an ordered pair (X, Y) we must match the inputs and outputs based off the arrows. We see that the 2 in the input section points to the 9. This signifies an ordered pair. From this, we can graph these points.

Answer:

-40F to 284F

Step-by-step explanation:

C = 5/9F -32

so F = 32+9/5*C

so the range is

F= 32+9/5*(-40) = 32-72 = -40F

F= 32+9/5*(140) = 32+252 = 284F

The half-life of the radioactive goo is approximately 41.82 minutes. The formula for the amount of goo remaining at time t is G(t) = 296 * (1/2)^(t/41.82). After 38 minutes, there will be approximately 66.5 grams of goo remaining.

To find the half-life of the radioactive goo, we can use the formula for exponential decay:

N(t) = N₀ * (1/2)^(t/h)

where N(t) is the amount of goo remaining at time t, N₀ is the initial amount of goo, t is the time elapsed, and h is the half-life of the goo.

In this case, N₀ = 296 grams, N(t) = 9.25 grams, and t = 135 minutes. We can plug these values into the formula and solve for h:

9.25 = 296 * (1/2)^(135/h)

To solve for h, we can take the logarithm of both sides:

log(9.25) = log(296) + (135/h) * log(1/2)

Simplifying further:

(135/h) = (log(9.25) - log(296)) / log(1/2)

(135/h) ≈ -3.2279

h ≈ 135 / (-3.2279)

h ≈ -41.82

Since the half-life cannot be negative, we take the absolute value:

half-life ≈ 41.82 minutes (rounded to one decimal place)

The formula for the amount of goo remaining at time t (in minutes) can be written as:

G(t) = 296 * (1/2)^(t/41.82)

To find the amount of goo remaining after 38 minutes, we can substitute t = 38 into the formula:

G(38) = 296 * (1/2)^(38/41.82)

G(38) ≈ 66.5 grams (rounded to one decimal place)

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Answer:

12 + 1/10x

that would be the expression

Step-by-step explanation:

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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The possible rational zeros of the the given equation are ±1, ±3, ±5, ±7, ±15, ±21, ±35, ±105.

The given equation is (t)^3-13(t)^2+65t-105=0

According to Rational Root theorem,  the possible rational zeros are the divisors of the constant term and leading coefficient that can be expressed in the form p/q.

The leading coefficient of the given equation = 1

It's divisors (q) = ±1

The constant term = 105

It's divisors (p) =  ±1, ±3, ±5, ±7, ±15, ±21, ±35, ±105

The possible rational zeros of the given equation in the p/q form: ±1, ±3, ±5, ±7, ±15, ±21, ±35, ±105.

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Answer:

Step-by-step explanation:

Typically yes you need to know

Mean

Median

Mode

and Range

Mean = average, add all numbers then divide by how many

Median = midpoint, middle number.  Be sure to list numbers from small to large if there are 2 middle numbers (this happens when there are an even amount), take the average of the 2 middle numbers

Mode = numbers that occurs the most in the list of numbers

Range = This is the largest number minus the smallest number.  

Answer: The answer is in the steps

Step-by-step explanation:

M                h

15               40

20              45

25               50

30                55

The ratio of consecutive terms of the Fibonacci sequence 2/1, 3/2, 5/3, 8/5, 13/8 and so on is 0.75.

The Fibonacci series is the sequence of numbers (also called Fibonacci numbers), where every number is the sum of the preceding two numbers, such that the first two terms are '0' and '1'. In some older versions of the series, the term '0' might be omitted. A Fibonacci series can thus be given as, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, . . .

1) To represent any (n+1)th term in this series, we can give the expression as, Fₙ=Fₙ₋₁+Fₙ₋₂.

2) A sequence in which every number in the Fibonacci sequence is the sum of two numbers preceding it in the sequence.

Yes, the Fibonacci sequence written using a formula that connects successive terms of the sequence.

3) The Fibonacci sequence in nature:

A perfect example of this is the nautilus shell, whose chambers adhere to the Fibonacci sequence's logarithmic spiral almost perfectly. This famous pattern shows up everywhere in nature including flowers, pinecones, hurricanes, and even huge spiral galaxies in space.

4) The ratio of consecutive terms of the Fibonacci sequence 2/1, 3/2, 5/3, 8/5, 13/8 and so on.

Now, the ratio is 3/2 ÷ 2/1

= 3/2 × 1/2

= 3/4

= 0.75

Therefore, the ratio of consecutive terms of the Fibonacci sequence 2/1, 3/2, 5/3, 8/5, 13/8 and so on is 0.75.

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Given Data:

The table given here shows time taken in the first column and the distance travelled in the second column.

First check the ration of distance /time to verify if the speed of the man is constant or not.

As both ratios are same it means the speed of the man is constant and the distance travelled is directly proportional to the time taken and varies linealy with the time.

Now to determine the relationship between m and h we will use the same ratio of m and h which comes in the previous step.

Thus, option (D) is the required solution.

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

Answer:

The average value of \(f\) over the interval \([-2,5]\) is \(\frac{10}{7}\).

Step-by-step explanation:

Let suppose that function \(f\) is continuous and integrable in the given intervals, by integral definition of average we have that:

\(\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6\) (1)

\(\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20\) (2)

By Fundamental Theorems of Calculus we expand both expressions:

\(\frac{F(3)-F(-2)}{3-(-2)} = -6\)

\(F(3) - F(-2) = -30\) (1b)

\(\frac{F(5)-F(3)}{5-3} = 20\)

\(F(5) - F(3) = 40\) (2b)

We obtain the average value of \(f\) over the interval \([-2, 5]\) by algebraic handling:

\(F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)\)

\(F(5) - F(-2) = 10\)

\(\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}\)

\(\bar f = \frac{10}{7}\)

The average value of \(f\) over the interval \([-2,5]\) is \(\frac{10}{7}\).

The number of years its to make 3,480 is approximately 23 years.

If a constant rate of growth be R% per annum, then population after n years = P(1+R/100)ⁿ.

Given that, the population of a colony started with 1,120 grows at an annual rate of 4.98%.

Here, A =3480

Now, 3480=1,120(1+4.98/100)ⁿ

(1+4.98/100)ⁿ=3480/1,120

(1.0498)ⁿ=3.107

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

n=ln(3.107)/ln(1.0498)

Decimal Form:

n=23.32644715

Therefore, the number of years its to make 3,480 is approximately 23 years.

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If the actual tower is 125 meters wide, then the height will be approximately 325m

The ratio of the similar sides of the shape is equal to a constant.

If an Eiffel Tower mural is 2 meters high and 0.77 meters wide the  actual tower is 125 meters wide, then the new height will be expressed as;
2/0.77 = H/125

Cross multiply

0.77H = 2 * 125
0.77H = 250
H = 250/0.77
H = 325m

This means that if the actual tower is 125 meters wide, then the height will be approximately 325m

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Answer:

73°

Step-by-step explanation:

This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.

The triangle has two angles implied, 30 degrees and (180-137) degrees.

(180 - 137) = 43 degrees

Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.

180 - 43 - 30 = 107

The angle with a measure of 107 degrees and angle 3 are supplementary

180 - 107 = 73 degrees

Answer:73.4° Fahrenheit.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Delilah needs to buy 8 reams of paper which cost $5.89 each, $5.89 x 8 = $47.12

Delilah needs to buy 6 cartridges of ink which cost $38.40 each, $38.40 x 6 = $230.4

We then add $230.4 and $47.12

$230.4 + $47.12 = $277.52.

Delilah needs to bring $277.52 to cover the cost of her supplies.

If circle with center N with m∠MNP=124 ∘ and MN=13,  the area of sector MNP is approximately equal to 194.86 square units.

To find the area of a sector of a circle, we need to use the formula:

Area of sector = (central angle/360°) x πr²

Where r is the radius of the circle.

In this problem, we know that the central angle m∠MNP is 124° and MN, which is also the radius of the circle, is 13. So we can substitute these values into the formula:

Area of sector = (124/360) x π(13)²

Area of sector ≈ 194.86

Therefore, the area of sector MNP is approximately equal to 194.86 square units.

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Answer:

9

Step-by-step explanation:

11+11=22, subtract that from 40 which is 18 and divided by 2 is 9

Answer: the perimeter is 51 the area is 440

Step-by-step explanation:

The amount of the interest with simple interest of 6.9% will be $ 10.35.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

Miguel Rodriguez borrowed ​$300 from his brother Julio to pay for books and tuition.

He agreed to pay Julio in 6 months with simple annual interest at ​6.9%

Then the amount of the interest will be

Amount = P x R x T / 100

We have

P = $ 300

R = 6.9%

T = 6 months = 0.5 years

Then we have

P = (300 x 6.9 x 0.5) / 100

P = $ 10.35

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Work Shown:

LCM = (product of two numbers)/(HCF of the two numbers)

LCM = 1536/16

LCM = 96

Answer:75

Step-by-step explanation:

90-15=75

Answer:

He has 75 tacos left.

90 - 15 = 75.