A cyclist rides his bike at a speed of 27 miles per hour what is the speed in miles per minute? How many miles will the cyclist travel in 2 minutes ? Do not round answer

Answer:

g = 3 + b

b + 3 = g

3 + b = g

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

Rewriting the rule so 'b' would be the subject:

\(g = b + 3\\\\g - 3 = b + 3-3\\\\g-3=b\\\\\boxed{b=g-3}\)

Hope this helps.

Answer: the answer to this is true

Answer:

0.224

Step-by-step explanation:

Multiply the whole number by the denominator:

22 × 5 = 110

Add the product you got in Step 1 to the numerator:

110 + 2 = 112

Divide the sum from Step 2 by the denominator:

112 ÷ 5 = 22.4

That's it folks! The answer to 22 2/5 in decimal form is displayed below:

22 2/5 = 22.40

\(22\frac{2}{5}\) % is equivalent to 0.225 as a decimal.

To convert \(22\frac{2}{5}\) % to a decimal, we divide the mixed number by 100.

Convert the mixed number 22 2/5 to an improper fraction:

\(22\frac{2}{5}\) = (22 × 5 + 2) / 5

= 112/5

Next, divide the resulting fraction by 100:

112/5 ÷ 100

= 112/5 × 1/100

= 112/500

Simplifying the fraction:

112/500

= 14/62

Divide numerator and denominator by 2:

= 7/31

=0.225

Therefore,  \(22\frac{2}{5}\) % is equivalent to 0.225 as a decimal.

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Answer:

1755

Step-by-step explanation:

When finding area, you want to multply the length, 45, by the width, 39. This yields the answer to the total area: 1755

The value of standard deviation is 4 .

According to the given problem the main information that can be observed is the value of the MSE

The MSE for the entire analysis is 16.

AUXILIARY INFORMATION:

There are 3 drug treatments.

Each drug has been give to 20 individuals . Hence there are 60 individuals in total.

WORKING THE SUM OUT:

The Mean Square Error (MSE) is calculated by dividing the Error Sum of Squares by the degrees of freedom.

Hence the MSE  represents the variance(σ²).

MSE = σ²

Therefore standard deviation = √Variance  = √MSE = √16 = 4 .

Hence option D will be correct .

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Answer:

6 · x = 42 and x = 7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

7

1x4+1/4 x 5 3/5

4+1/4 x 5 3/5

5/4x5 3/5

5/4 x 25+3/5

5/4x38/5

1/4x28

28/4

7

Answer:

=7

Step-by-step explanation:

(1 1/4)(5 3/5)

=5/4 (5 3/5)

=5/4 (28/5)

=7

Answer:

3s + 15

Step-by-step explanation:

Here,

= 3(s) +3(5)

= 3s+15,,

The vertical offset of the parabolic curve to the point of intersection of the tangent grades is 3.91 meters, and the highest point of the curve is located 100 meters from the P.C. The stationing of the highest point of the curve is at station 11+245.

a. To determine the vertical offset of the parabolic curve to the point of intersection of the tangent grades, we need to find the difference between the elevations of the ascending and descending grades at the intersection point. The vertical offset is given by the formula:

Vertical Offset = (Descending Grade Elevation - Ascending Grade Elevation)

Given that the ascending grade is +3.2% and the descending grade is -2.7%, we can calculate the elevations:

Ascending Grade Elevation = 220 m + (3.2/100) * 300 m = 229.6 m

Descending Grade Elevation = 220 m + (-2.7/100) * 300 m = 212.1 m

Therefore, the vertical offset is:

Vertical Offset = 212.1 m - 229.6 m = -17.5 m = 17.5 m (upward)

b. The highest point of the curve is located at a distance of 100 meters from the P.C. Since the length of the parabolic curve is given as 300 meters, the highest point is situated 1/3rd of the curve's length from the P.C. This implies that the highest point is 100 meters away from the P.C.

c. To determine the stationing of the highest point of the curve, we need to add the distance of the highest point from the P.C. to the stationing at the point of intersection. Given that the station at the point of intersection is 11+145, we can calculate the stationing of the highest point:

Stationing of the Highest Point = 11+145 + 100 = 11+245

Therefore, the stationing of the highest point of the curve is 11+245.

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Answer:

The Number is 11

Step-by-step explanation:

by first condition

we got it is an odd number

second condition

number less then12

third condition

between 10 to 14

Now,

odd number between 10 to 14

is 11 and 13

13 is greater then 12

therefore 11 is your answer

Answer:

if it works like the dollar 53p

Answer:

53p

Step-by-step explanation:

£1 = 100p

=> Change = 100p - 47p = 53p

Answer:

yes

Step-by-step explanation:

yes

Answer:

Q1 : Ruppell's Giffrons

Q2 :

sperm whales

dolphins

missing birds

Ruppell's Giffrons

Step-by-step explanation:

I don't know if I can see the full picture, as it is clearly cut off.

my answers are based on what I can see :

Giffrons, migrating birds, dolphin and sperm whale.

here are the reasons for my 2 answers :

sea level = elevation of 0 ft. so, this is "point" 0.

Q1 now asks about what of the listed animals can move the farthest away from 0.

and distance is always positive. now matter the direction we are going. if we go from 0 to +5, the distance is 5. and if we go from 0 to -5, the distance is also 5.

so, we are looking for the animal with the largest absolute value of elevation it can reach.

and that are the Ruppell's Giffrons with 37000 ft. 37000 is much farther away from 0 than e.g -3000. and so on.

Q2 wants us to sort the animals based on their reachable elevations.

by the way, the correct words would be "lowest to highest". as this is how elevation works on scales.

and remember, negative values get actually larger in their absolute values, when we make them smaller.

-2 is smaller than -1.

therefore, the animal that can get the lowest of all here is the sperm whale.

then comes the dolphin.

then the migration birds.

and then the Ruppell's Giffrons.

The Brown Spider Monkey can travel at the greatest distance from sea level compared to the other mentioned animals. The order of elevations from least to greatest would be Blue Whale, Mountain Lion, Mountain Goat, and Brown Spider Monkey.

The animal that can travel at the greatest distance from sea level is the Brown Spider Monkey. It is found in the tropical rainforests of South America and can live at elevations of up to 9,000 feet (2,700 meters) above sea level. The other animals mentioned, Mountain Goat, Blue Whale, and Mountain Lion, are all restricted to lower elevations.

In terms of elevations from least to greatest, the order would be:

Blue Whale - Lives in the ocean at sea level

Mountain Lion - Found in various habitats including mountains and plains

Mountain Goat - Lives in mountainous regions

Brown Spider Monkey - Found in the tropical rainforests at high elevations

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Answer:

x = ⅗ = 0.6

Step-by-step explanation:

A square has four equal sides.

If a square has a side length of \( x + 3 \), therefore,

Perimeter of the square = \( 4(x + 3) \)

\( = 4x + 12 \).

Also, a regular octagon has 8 equal sides.

If it has a side length of 3x, therefore:

Perimeter of the octagon = \( 8(3x) \)

= \( 24x \)

Given that the Perimeter of the rectangle and the octagon are the same, to find the value of x, set each perimeter equal to the other.

Thus:

\( 24x = 4x + 12 \)

Subtract 4x from each side

\( 24x - 4x = 12 \)

\( 20x = 12 \)

Divide both sides by 20

x = 12/20 = ⅗ = 0.6.

Answer:

n=-7

Step-by-step explanation:

-234=-38+28

-28n=-38+28n

-28n=196

Answer:

\(the \: price \: of \: a \: gallon \: \: of \: milk \: \\ will \: cost \: 4.73 \: dolars\)

Step-by-step explanation:

\(if \: a \: gallon \: of \: milk = 3.78541 \: liters \\ 12 \: liters \: will \: cost \: 15 \: dolars \\ 3.78541 \: liters \: will \: cost : \\ \frac{3.78541 \: liters \times 15dolars}{12 \: liters} = 4.7317625 \: dolars\)

The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

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Answer:

yess it is by the benefactor

Step-by-step explanation:

Answer: answer is C

Step-by-step explanation:

The question asks us to find the a graph which represents the width of the rectangle increasing by 1 unit while the area remains constant. The best graph to model this, would be answer choice C

Answer:

D. No. She multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Step-by-step explanation:

A. Yes. She solved the problem correctly.

B. No. She multiplied the dividend by the divisor instead of finding the reciprocal.

C. No. She multiplied the denominators instead of finding a common denominator.

D. No. She multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Her workings

7 ÷ 2/ 5

=1/ 7 × 2/ 5

= 2/35

Dividend=7

Divisor=2/5

The correct working

7 ÷ 2/ 5

=7 × 5/2

=35/2

Answer:

D

Step-by-step explanation:

I got an 100% on the quiz I took with this question :)

Hope I could help good luck on passing!!

Answer:

113

Step-by-step explanation:

290 - 64 = 226

226 ÷ 2 = 113

Answer:

b. 7.485

c. 7.489

d. 7.491

e. 7.492

Step-by-step explanation:

For the first three options, you only round up if the number on the end is a 5 or higher. But for the last three options, the number in the hundreths place is a 9 already, so we're trying to round down the number on the end (4 or lower to round down).

The solution to the initial-value problem x(x + 1) dy/dx + xy = 1, y(e) = 1 is y = ln(x + 1) / x.

To solve the given initial-value problem, we can use the method of integrating factors. Rearranging the equation, we have dy/dx + (xy / (x(x + 1))) = 1 / (x(x + 1)).

The integrating factor is given by μ(x) = exp ∫ (xy / (x(x + 1))) dx. Simplifying the integral, we have μ(x) = exp ∫ (1 / (x + 1)) dx = exp(ln(x + 1)) = x + 1.

Multiplying the entire equation by the integrating factor, we obtain (x + 1)dy/dx + xy = (x + 1) / (x(x + 1)).

The left side of the equation can be written as d((x + 1)y)/dx. Integrating both sides with respect to x, we have ∫ d((x + 1)y)/dx dx = ∫ (x + 1) / (x(x + 1)) dx.

Simplifying the right side of the equation, we get ∫ dx / x = ln|x| + C.

Dividing both sides by (x + 1), we have (x + 1)y = ln|x| + C.

Finally, solving for y, we find y = (ln|x| + C) / (x + 1). Using the initial condition y(e) = 1, we can substitute x = e and solve for C to obtain the specific solution y = ln(x + 1) / x.

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Answer:

I think it's 70%.

A multiple regression model with 200 data points and three independent variables has 196 degrees of freedom for testing the statistical significance of individual slope coefficients. Here's an explanation in 150 words:

In a multiple regression model, the degrees of freedom for testing the statistical significance of individual slope coefficients are calculated as the total number of observations (n) minus the number of independent variables (k) and minus one for the intercept term. In this case, we have 200 data points (n) and three independent variables (k), so the calculation would be:

Degrees of freedom = n - (k + 1)

Substituting the values into the formula:

Degrees of freedom = 200 - (3 + 1) = 200 - 4 = 196

Therefore, this multiple regression model has 196 degrees of freedom for testing the statistical significance of individual slope coefficients.

This measure helps determine the uncertainty around the estimated coefficients and is used in hypothesis testing to determine whether there is a significant relationship between the independent variables and the dependent variable.

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Answer:

hope it helps you.......

Answer:

5 apple magically appeared in his hands CLONED APPEARED BOUGHT FLEW INTO HIS HANDS.

Step-by-step explanation: