1. Bianca can walk 5/6 of a mile in 1/3 of an hour. What is her walking speed, in miles per hour?
2. How long, in minutes, does it take Bianca to walk 1 mile?

The swimming pool can hold a volume of 3.456 cubic meters of water.

The volume of water that the swimming pool can hold can be calculated by multiplying the base area of the pool by its depth. In this case, the base area is given as 192 m² and the depth is 1.8 cm.

However, it is important to note that the depth should be converted to meters before performing the calculation.

To convert 1.8 cm to meters, we divide it by 100 (since there are 100 centimeters in a meter):

Depth = 1.8 cm ÷ 100 = 0.018 m

Now we can calculate the volume of water using the formula:

Volume = Base Area × Depth

Substituting the given values, we get:

Volume = 192 m² × 0.018 m = 3.456 m³

Therefore, the swimming pool can hold a volume of 3.456 cubic meters of water.

In the explanation, we use the formula for calculating the volume of a rectangular prism, which is given by multiplying the base area by the depth. We convert the depth from centimeters to meters and then substitute the given values into the formula to find the volume of water that the swimming pool can hold, which is 3.456 cubic meters.

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Option D. The mountainous geography of Athens influence the economy as The people of Athens relied on sea trade.

Greece's rugged terrain caused some areas, particularly Athens, to become dependent on trade. Many Greeks went on to become seafaring tradesmen and merchants. Greeks engaged in trade with other Mediterranean people for pottery, wine, and olive oil. They communicated with the outside world by sailing to neighboring islands.

The geography of the area influenced the ancient Greeks' political system and way of life. Mountains, seas, and islands formed natural barriers between the Greek city-states, forcing the Greeks to relocate to coastal areas.

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Answer:

OD=Vertex: (1, -25); intercepts: x= 6,-4

Step-by-step explanation:

y=x²-2x-24

where a = 1,b = –2 and c = –24

to find the vertex we will use this formula

Step 1

(h,k) = (-b/2a, -D/4a), where D = b²–4ac.

(h,k) = (–(–2)/2×1) , –((–2)² – 4 × 1 × –24/4×1)

(h,k)= (2/2) , –(4 + 96)

(h,k) = (1 , –100/4)

(h,k) = (1,–25)

STEP 2

To find x intercept make y = 0

y=x²-2x-24

x² – 2x – 24 = 0

x² –6x + 4x – 24 = 0

x(x –6) +4(x –6) = 0

(x+4)(x–6)=0

x+4 = 0; x = –4

x–6 = 0; x = 6

x = (–4,6)

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Answer:

20

Step-by-step explanation:

What is 25 percent (calculated percentage %) of number 80? Answer: 20.

Answer:

\(8\frac{1}{2}\)

Step-by-step explanation:

\(\frac{17}{2}=\) \(8\frac{1}{2}\)

17 ÷ 2 = 8.5

8.5 as a mixed number is \(8\frac{1}{2}\).

Answer:

It is 8 1/2

Step-by-step explanation:

;)

Answer:

May 12th

Step-by-step explanation:

For Matt's practice you multiply by 3 and for Jacob's practice you multiply by  4 to get both practices to 12.

Answer:

The point that could represent the numbers of adults and child haircuts that meet the stylist goals is 25, 0.

Since the hairstylist change $15 for an adult haircut and $9 for a child haircut, then using 25, 0 will be:

= 15(25) + 9(0)

= 375 + 0

= $375

Therefore, she has earned at least 360 dollars and cut about 25 haircuts this week.

In conclusion, the correct option is A.

About 88.49% of cellphone plans have charges that are less than $83.60.

To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.

z = (x – μ) / σ

where x = 83.60, mean, μ =  62 and standard deviation, σ = 18

Thus, the z-score of $83.60 is:

z = (83.60 - 62) / 18 = 1.2

Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).

Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.

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A circle is a curve sketched out by a point moving in a plane. For the given equation of a circle, the centre will lie at the coordinate (7,-4), while the radius will be equal to 9 units.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

If a circle O has a radius of r units length and it has got its centre positioned at (h, k) point of the coordinate plane, then, its equation is given as:

(x-h)² + (y-k)² = r²

Given the equation of the circle is (x-7)²+(y+4)²=81. The equation can be  rewritten as,

(x-7)² + [y-(-4)]² = 9²

Hence, For the given equation of a circle, the centre will lie at the coordinate (7,-4), while the radius will be equal to 9 units.

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The minimum quantity that the factory must sell in order to obtain benefits is x is 3.

Assuming that the unit price and unit cost are known, in addition to the fixed costs, the following formulas are proposed to determine the minimum quantity number of units that the factory must sell in order to obtain benefits: Input, cost, total cost, benefit, and utility. This example illustrates these formulas.

Unities sold = x =?

Unitary selling price = \(S.(2x-2)\)

Unit cost is \(\frac{S}{(x+4)}\)

Fixed costs = \(\frac{S}{160}\)

Assumption: I(x) = p*x= x*

\((2x-2)\)

Total cost: C(x)=\(x*(x+4)+160\)

U(x) = \(x*(2x-2)-x*(x+4)+160\)

U(x) = \(2x^{2} -2x-x(4)+160\)

U(x)= \(x^{2} -6x+160\)

derived from and equal to zero:

U'(x)= \(2x-6=0\)

x = 3​.

Therefore, the minimum quantity that the factory must sell in order to obtain benefits is x is 3.

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Answer:

2 units right

3 units up

Step-by-step explanation:

the graph y=(x+2)² is the parent function y=x^2 translated 2 units left

the graph y=x²+3 is the parent function y=x^2 translated 3 units up

so, the translation from y=(x+2)² to y=x²+3 is:

2 units right (to get to zero)

3 units up

(you can change the order if you want, it doesn't really matter here)

Step-by-step explanation:

Proof:

2 ( x - 9) = - 10 when x = 4

2 ( 4 - 9) = -10

8 - 18 = -10

-10 = -10 ..........hence proven

Reasons

- When you replace X with 4, you can clearly see that the equation is equal to -10.

sorry I couldn't answer accurately, but I hope this helps

Answer:

8.2m

Step-by-step explanation:

Formula : Area = base x height

rearrange : Base = area ÷ height

37.72÷4.6=8.2m

Answer:

8.2

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

There are total 10+4 = 14 cards

P(higher than 5) = 10/14 = 5/7

P(lower than 5) = 4/14 = 2/7

There's a higher chance of the card being greater than 5

Step-by-step explanation:

Step 1:  Determine if Gareth is correct

Total number of cards → 10 + 4 → 14

Probability of choosing lower → 4/14 → 2/7

Probability of choosing higher → 10/14 → 5/7

Since 5/7 > 2/7, that means that Gareth is correct be choosing a higher card.

Answer:  Yes

Let's do once by ourselves

\(\\ \rm\hookrightarrow -2(4-2x)-3-2x\)

\(\\ \rm\hookrightarrow -8+4x-3-2x\star \checkmark\)

\(\\ \rm\hookrightarrow 2x-11\)

Answer:

The discount given on the cost of the meal is $15

Step-by-step explanation:

How to calculate tax on a given price

According to the question, we are given the following information

The original cost of the meal = $75

Off coupon = 20%

Required

The number of coupons given

coupon amount = 0.2 * 75

coupon amount = $15

Hence the discount given on the cost of the meal is $15

Answer: \(75mm^2\)

Step-by-step explanation:

The formula for the area of a paralellogram is:

bh=a

Where

b is the base (15 for this)

h is the height (5 for this)

and a is the area

Let's sub our values into the formula

\(bh=a\\(15)(5)=a\)

Now solve

\((15)(5)=a\\75=a\)

Answer:

Step-by-step explanation:

Full question is:

Number of bowls is:

Profit made:

Answer:

Can you format this a little better?

Fred will pay $43.05 in sales tax if he buys the new refrigerator.

To calculate the sales tax Fred will pay for the new refrigerator, we first need to find the amount of the sales tax.

The cost of the new refrigerator is $615.

To calculate the sales tax, we multiply the cost by the tax rate of 7%:

So, Sales tax = 7% of $615

Sales tax = (7/100) x $615

Sales tax = $43.05

Therefore, Fred will pay $43.05 in sales tax if he buys the new refrigerator.

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(a)

A function which is represented in the form:

It is a power function which is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.

(b)

This represent the number of female researchers in thousands for the year 1970, or after 20 years.

(c)

Answer:

2.8 or 2 4/5

Step-by-step explanation:

2c*7c= 14c

1*5= 5

14c/5=

Answer:

14c^2 - 17c + 5

Step-by-step explanation:

hope to get a brainliest hope you the bsat on it have a good day:)

Answer:

∠POA= ∠POB = 50°

Step-by-step explanation:

The diagram of the given question has been drawn in the attachment.

From the diagram

Δ PAO  is congruent to Δ PBO.

as PO is common in Δ

∠ PAO = ∠PBO = 90°

PA =PB [ tangent from an external point]

⇒∠POA= ∠POB

Also, ∠APB+ ∠AOB = 180°

⇒ 80° + ∠AOB = 180°

⇒∠AOB = 100°

⇒ ∠POA= ∠POB = 50°

Each friend had originally 13 action figures before buying 11 more.

Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.

a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.

Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.

The total number of action figures will be 5(x + 11) = 5x + 55.

Now, according to the problem,5x + 55 = 120

This is our equation that models the problem.

b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.

5x + 55 = 120

5x = 120 - 55 (subtract 55 from both sides)

5x = 65x = 13

Therefore, each friend had originally 13 action figures before buying 11 more.

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The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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part a.

Therefore, the field's width is 320.128 feet.

part b.

The maximum height of the field's surface is 1.5

y = -0.000234(x - 80)² + 1.5

We must determine  the distance between the two points where the height of the field is 0.

setting  y = 0 in the equation and solve for x:

0 = -0.000234(x - 80)² + 1.5

0.000234(x - 80)² = 1.5

(x - 80)² = 1.5 / 0.000234

x - 80 = ±sqrt(6410.26)

x = 80 ± 80.064

So the two points where the height of the field is 0 are approximately x = 0.064 and x = 160.064.

the field's width is given as :

width = 2 * 160.064 = 320.128 feet

To find the maximum height of the field's surface, we need to find the vertex of the parabola.

The vertex of a parabola of the form y = a(x - h)² + k is (h, k).

In this case, h = 80, and k is the maximum height of the field's surface.

y = -0.000234(x - 80)² + 1.5

The constant term is 1.5 which is the maximum height of the field's surface.

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(b) one-sample t-test for a population mean

ur welcome :D

The most appropriate test to be used here would be a b. A one-sample t-test for a population mean.

One sample t-test is used when one wants to compare the mean of a population to another mean for statistical difference which is what the researchers hope to do here in comparing the mean battery life of a new battery to an old one.

A population mean will also be used because the population standard deviation is not given.

In conclusion, option B is correct.

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Answer:

6

It's kind of blury, so I can't really see it.

Answer:

4

Step-by-step explanation: