Quincy rides his bicycle 1 mile in 4 minutes, and his sister Marissa runs 13,376 feet in 16 minutes. In miles per hour, approximately how much faster is Quincy than Marissa? (Note: 1 mile = 5, 280 feet) 5.5 miles per hour 7.5 miles per hour 9.5 miles per hour 17.0 miles per hour​

Answer:

1.12 Units

Step-by-step explanation:

1. Use cos(56°) = x/2

Make sure your calculator mode is in deg (degree) not rad(radians)

2.  2(cos(56°)) = x

3. x = 1.118385807

4. Round up to get 1.12 Units

Answer:

-6

Step-by-step explanation:

Rewrite the equation with the number that has the highest exponent in the front.

-6x^4 -2x^3 + 8x +5

The leading coefficient is the number beside the x value

In this case it is -6

Hope this helps plz mark brainliest!

Answer:

1 point

Step-by-step explanation:

if each question is worth twice as much as the question before it , then the question before each question is half the value, then

5th question = 16

4th question = 16 ÷ 2 = 8

3rd question = 8 ÷ 2 = 4

2nd question = 4 ÷ 2 = 2

1st question = 2 ÷ 2 = 1

the first question is worth 1 point

Answer:

1/2

Step-by-step explanation:

-1(15+4-27)/16

Add 15 and 4 to get 19.

Now you have -1(19-27)/16

Subtract 27 from 19 to get −8.

-1(-8)/16

Reduce the fraction 16/−8 to lowest terms by extracting and canceling out 8.

-(-1/2)

Simplify

1/2

Answer:

1/2

Step-by-step explanation:

⁻¹⁽¹⁵⁺⁴⁻²⁷⁾⁄₁₆

Calculate:

-(15 + 4 - 27) / 16

-(19-27)/16

-(-8) / 16

= 8/16

Simplify:

= 1/2

Question 1

Question 2

The volume of the given cylinders.

\(\huge\boxed{Formula: V=\pi{r}^{2}h}\)

\(\huge\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}\)

Let's solve!

Substitute the values according to the formula.

\(V=3.14×{3}^{2}×9\)

\(\large\boxed{V= 254.34 \: {ft}^{3}}\)

Let's work on question 2

Substitute the values according to the formula.

\(V=3.14×{13}^{2}×8\)

\(\large\boxed{V= 4245.28 \: {yd}^{3}}\)

Answer:

q = - 3.4

Step-by-step explanation:

- 13(q + 4) = 7q + 16 ← distribute parenthesis on left side

- 13q - 52 = 7q + 16 ( subtract 7q from both sides )

- 20q - 52 = 16 ( add 52 to both sides )

- 20q = 68 ( divide both sides by - 20 )

q = - 3.4

According to the question we have (5, 2) isn't a response of the linear equation system because one of equations is erroneous.

Salt water, rub whiskey, and sucrose dissolved in water are a few examples of solutions. When you watch hard after combining salt and water, you can no longer see the sodium chloride, indicating that the combination is uniform.

In chemistry, a solution containing of two or more compounds in their relative proportions. The composition of the solution can be continually changed up to the solubility limit. Although solution of gas and solids are possible, the term "solution" is most frequently used to refer to the liquid condition of matter.

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The number of gallons in  64 fluid ounces would be 0.5.

While fluid ounce, denoted by the sign "fl oz," is an imperial measurement system in the US systems volume unit, gallon is a volume unit in the US Customary measurement systems. Thirty-eight fluid ounces make up a gallon of water. It takes 128 fluid ounces to make up a fluid gallon.

Despite the fact that they are very different, ounces and fluid ounces both serve as units of measurement. As the name suggests, fluid ounces are designed to measure volume (generally of liquid ingredients like water), whereas ounces measure weight, typically of solid materials like all-purpose flour.

In a gallon, there are 128 fluid ounces. However, it can change depending on whether the unit system is in use for liquid or dry gallons. There are 148.94545 ounces in a dry US gallon. There are 153 fluid ounces in an Imperial gallon if you measure using the British Imperial method.

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The rule for the translation is (x,y) → (x+1,y+2).

Given the vertices of the triangle ABC, A(-3, 4), B(4,-2), C(8,3).

The triangle translates 2 units up and 1 unit right.

We have to find the rule that represents the translation of the triangle.

What is the translation?

A translation is a type of transformation that moves a figure in a specific direction without altering its shape and size. When we translate a figure, the size, shape, and orientation of the figure remain the same. The new position of the figure is called the image.

Let us determine the rule of translation for triangle ABC, with vertices A(-3, 4), B(4,-2), and C(8,3).

We move 2 units up and 1 unit right, so the rule for the translation is (x, y) → (x + 1, y + 2)

Therefore, the rule that represents the translation of triangle ABC is (x, y) → (x + 1, y + 2).

When a translation occurs, each point in the original shape is moved in the same direction and for the same distance. This type of transformation is also called a slide or shift. The rule for a translation is given by (x,y) → (x + a, y + b), where a represents the horizontal shift and b represents the vertical shift.

To translate triangle ABC two units up and one unit right, we need to add 2 to the y-coordinate and 1 to the x-coordinate of each point. Therefore, the rule for the translation is (x,y) → (x+1,y+2).

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Answer:

the equation is 9.75c=20.75

then the amount is 2.13

Step-by-step explanation:

Answer: c - 9.75 = 20.75

  flip it   20.75 - 9.75 = c

             -  9.75

        ____________

                11.00

C = 11.00

Answer:

wut

Step-by-step explanation:

i dont know am sorry

Answer:

thx for the points

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes it's fun

Arlen already established that ΔRST and ΔUTS has two pairs of congruent angles and a pair of congruent included sides, which meet the ASA Congruence Criterion. Therefore:

The ASA Congruence Criterion states that for two triangles to be considered congruent to each other, both triangles must have a pair of congruent included sides and two pairs of congruent angles.

Thus, the two-column proof that shows that RS ≅ TU that Arlen is trying to write, has already established that ΔRST and ΔUTS has the following:

Two pairs of congruent angles - ∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST.

A pair of congruent included sides - ST ≅ S.

These satisfy the ASA Congruence Criterion. Therefore:

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Answer: True.

By definition, a stochastic matrix is a square matrix where each entry is a non-negative real number and the sum of each row is 1.

If A is a stochastic matrix and v is a vector in its 1-eigenspace, then we have:

Av = λv

where λ = 1 is the corresponding eigenvalue.

Multiplying both sides by 1/λ = 1, we get:

v = A v

This means that the vector v is also in the range of A, which is a subspace of the vector space R^n.

Since A is a stochastic matrix, the rows of A sum to 1, and therefore the columns of A also sum to 1. This implies that the vector of all 1's, which we denote by u, is also in the range of A.

Since v is a nonzero vector in the 1-eigenspace and u is a nonzero vector in the range of A, the span of v and u is a two-dimensional subspace of R^n.

Moreover, since A is a stochastic matrix, we have:

Au = u

This means that the vector u is also in the 1-eigenspace.

Therefore, the 1-eigenspace of A is a line spanned by the vector u, which is a nonzero vector in the range of A.

if a is a stochastic matrix, then its 1-eigenspace must be a line: True.


A stochastic matrix is a square matrix with non-negative entries where each row sums to one. The 1-eigenspace of a matrix is the set of all eigenvectors with eigenvalue 1.

Let v be an eigenvector of a stochastic matrix A with eigenvalue 1. Then we have Av = 1v.

Multiplying both sides by the transpose of v, we get v^T Av = v^T v.

Since A is a stochastic matrix, its columns sum to 1 and therefore, its transpose has rows that sum to 1. Thus, v^T Av = 1 and v^T v = 1.

This implies that v^T (A-I) = 0, where I is the identity matrix. Since A is stochastic, I is also stochastic and has a unique 1-eigenspace, which is a line spanned by the vector (1,1,....1)^T.

Therefore, v must be a scalar multiple of (1,1,....1)^T, which implies that the 1-eigenspace of A is a line.

Therefore, the statement "if a is a stochastic matrix, then its 1-eigenspace must be a line" is true.

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Daisy is not correct. The shaded part is 3/50 that of the whole circle.

In order to determine if Daisy is correct, the area of the circle and the area of the shaded part has to be determined.

Area of the circle = = πr²

Where :

π = pi = 22/7

r = radius = 4 + 3 + 3 = 10

10²π = 100π

Area of the shaded part = 3²π = 9π

Ratio of the areas = 9π / 100π

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Step-by-step explanation:

Given that,

A 6 ounce package costs $2.16

A 15 ounce package costs $5.92

A 20 ounce package costs $7.60

So,

Cost of 1 ounce of package = 2.16/6 = $0.36

Cost of 1 ounce of package = 5.92/15 = $0.394

Cost of 1 ounce of package = 7.6/20 = $0.38

Hence, 'a 6 ounce package costs $2.16' is the best deal to buy.

Answer:

1

Step-by-step explanation:

Answer:

Best option is data

Step-by-step explanation:

If it was information, he would know what 144 would be used for

Knowledge doesn't make sense in this scenario

Input could be possible but we don't know for sure that the number is an input of something

Answer:

data

Step-by-step explanation:

got it right on edge 2021

sorry if I'm wrong

To cost out the box meal, we need to calculate the cost of each food item and then add them up to find the total cost for all the meals. So, the total cost for all the meals for 27 visitors is $283.50.

1. Bread: 20 slices per loaf at $3.48/loaf = $0.17 per slice
2. Lettuce: $0.12/leaf
3. Cheese: 20 slices per pound at $6.99/pound = $0.35 per slice
4. Pickles: 30 pickles per jar at $3.59/jar = $0.12 per pickle
5. Turkey: $8.99/pound
6. Chips: $0.32 per bag
7. Bananas: 3 bananas per pound at $0.55/pound = $0.18 per banana
8. Cookies: $2.89/dozen = $0.24 per cookie
Now we can calculate the cost of each box meal by adding up the cost of the individual items:
- 2 slices of bread = $0.34
- 2 leaves of lettuce = $0.24
- 2 slices of cheese = $0.70
- 2 pickle spears = $0.24
- 2 oz. of turkey = $0.75
- 1 bag of chips = $0.32
- 1 banana = $0.18
- 1 cookie = $0.24
Total cost per box meal = $2.31
If we prepare box lunches for 27 visitors, the total cost for all the meals would be:
Total cost = $2.31 per box meal x 27 box meals = $62.37
Therefore, the total cost for all the meals would be $62.37.

To determine the total cost for all the meals for 27 visitors, we'll first find the cost of each menu item per serving and then multiply it by the number of visitors.
1. Bread: $3.48/loaf ÷ 20 slices = $0.174/slice
2. Lettuce: $0.12/leaf (given)
3. Cheese: $6.99/pound ÷ 20 slices = $0.35/slice
4. Pickle spears: $3.59/jar ÷ 30 pickles = $0.12/pickle
5. Turkey: $8.99/pound (given)
6. Chips: $0.32/bag (given)
7. Bananas: $0.55/pound ÷ 3 bananas = $0.183/banana
8. Chocolate chip cookie: $2.89/dozen ÷ 12 cookies = $0.241/cookie
Now, we'll find the total cost per meal by adding the cost of each item:
Total cost per meal = $0.174 + $0.12 + $0.35 + $0.12 + $8.99 + $0.32 + $0.183 + $0.241 = $10.50 (rounded to two decimals)
Finally, multiply the cost per meal by the number of visitors:
Total cost for all meals = $10.50 x 27 visitors = $283.50
So, the total cost for all the meals for 27 visitors is $283.50.

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The function that models the given situation is; f(x) = 109(0.935)^(t) + 72

We are given that;

Temperature of hot tea = 181°F

Room temperature = 72°F

Rate of the hot tea cooling on a desk in the room = 6.5% every minute

We know that an exponential function is of the form of;

y = A(r)^(x)

where;

A is the initial value.

r is the rate of increase/decrease in decimals.

Thus, our initial value is;

A = 181 - 72 = 109

The rate of increase/decrease in decimals = 1 - (6.5%) = 0.935

Since the room temperature is 72 degrees Fahrenheit, then the function is;

f(x) = 109(0.935)^(t) + 72

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Step-by-step explanation:

Volume of sphere= 1/2 times (4/3)π(30^3)

The surface represented by the equation \(x^2 + y^2 + z^2 - 8z = 0\) in rectangular coordinates can be expressed in spherical coordinates as ρ = 8 cos(φ). Converting the point (6, -π/6, π/3) from spherical coordinates to cylindrical coordinates yields (6, -π/6, 6π/3).

To express the given equation \(x^2 + y^2 + z^2 - 8z = 0\) in spherical coordinates, we make use of the following conversions:

x = ρ sin(φ) cos(θ)

y = ρ sin(φ) sin(θ)

z = ρ cos(φ)

Substituting these equations into \(x^2 + y^2 + z^2 - 8z = 0\) and simplifying, we have:

(ρ sin(φ) cos(θ))^2 + (ρ sin(φ) sin(θ))^2 + (ρ cos(φ))^2 - 8(ρ cos(φ)) = 0

Expanding and rearranging terms, we obtain:

ρ^2 - 8ρ cos(φ) = 0

This equation represents the surface in spherical coordinates, which can be written as ρ = 8 cos(φ).

To convert the point (6, -π/6, π/3) from spherical coordinates to cylindrical coordinates, we use the following conversions:

r = ρ sin(φ)

θ = θ

z = ρ cos(φ)

Substituting the given values, we have:

r = 6 sin(-π/6) = -3

θ = π/3

z = 6 cos(-π/6) = 6√3/2

Therefore, the point in cylindrical coordinates is (-3, π/3, 6π/3), which can be simplified as (-3, π/3, 2π).

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Answer:

42 sheet of paper

Step-by-step explanation:

$7.84 divided by $0.16

This equals 42

After spending 7 dollars and 84 cents, 42 sheets of paper will be sold.

Answer:

2 bus

Step-by-step explanation:

The expected value of y is larger than the expected value of x. This is because y takes into account the number of students on all 4 buses, while x only takes into account the students on the bus with the randomly selected student.

The expected value of a random variable represents the average value of that variable over multiple trials. In this case, x is a random variable representing the number of students on the bus carrying the randomly selected student, and y is a random variable representing the number of students on the randomly selected bus.

The expected value of x can be calculated as follows:

E[x] = (10/100)×10 + (20/100)×20 + (30/100)×30 + (40/100)×40

= 16 + 12 + 9 + 16

= 53/4

= 13.25

This means that, on average, the bus carrying the randomly selected student would have 13.25 students.

The expected value of y can be calculated as follows:

E[y] = (1/4)×10 + (1/4)×20 + (1/4)×30 + (1/4)×40

= 25

This means that, on average, the randomly selected bus would have 25 students.

As expected, the expected value of y is larger than the expected value of x. This is because y takes into account the number of students on all 4 buses, while x only takes into account the students on the bus with the randomly selected student. Since the number of students on the other 3 buses can vary widely, y has a higher expected value than x.

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Answer:

b because it just is

Step-by-step explanation:

Answer:

Height of the cylinder = 15

Step-by-step explanation:

According to the question, TSA=968

TSA of cylinder=2π r (r+h2*22 / 7*7 (7+h) = 968

2*22 (7+h) = 968

(7+h) = 968/44

7+h=22

h = 22-7

= 15 cm

(a) The surface area of the paraboloid z = x² + y², cut by z = 2, is 4π square units.

(b) The surface area of the football-shaped surface obtained by rotating the curve y = cos x, - π/2 ≤ x ≤ π/2, around the x-axis is 4π square units.

(a) To find the surface area of the paraboloid z = x² + y² cut by z = 2, we need to determine the intersection curve between the paraboloid and the plane z = 2. Substituting z = 2 into the equation of the paraboloid, we obtain x² + y² = 2. This represents a circle in the xy-plane with radius √2. The surface area of the paraboloid within this circle can be found by integrating the circumference of the circle multiplied by the height of the paraboloid. The circumference of the circle is 2π√2, and the height of the paraboloid is the difference between the maximum z-value (2) and the minimum z-value (0) within the circle, which is 2. Therefore, the surface area is given by 2π√2 * 2 = 4π square units.

(b) For the football-shaped surface obtained by rotating the curve y = cos x, - π/2 ≤ x ≤ π/2, around the x-axis, we can use the formula for the surface area of a surface of revolution. This formula states that the surface area is equal to the integral of 2πy multiplied by the arc length of the curve. The curve y = cos x within the given range represents the upper and lower halves of the football shape. The arc length of the curve can be calculated using the arc length formula. After performing the necessary calculations, the result is a surface area of 4π square units.

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