Bobby is designing a garden in the shape of a trapezoid that is split into three parts: two triangular flower beds, and a rectangular section of grass. Setting up the flower beds costs $4.25 per square foot. How much will Bobby have to spend to set up the flower beds?

Answer:

a. 10560

b. 63360 in.

c. 10000 m

d. 100000 cm

e. 3.107 miles

f. 42.165 km

Step-by-step explanation:

a. 2 miles contain how many feet?

1 mile = 5280 ft

2 miles × 5280 ft / mile = 10560 ft

b. 1 mile contains how many inches?

1 ft = 12 in

1 mile × 5280 ft/mile × 12 in./ft = 63360 in.

c. 10 kilometers contain how many meters?

1 km = 1000 m

10 km × 1000 m/km = 10000 m

d. 1 kilometer contains how many centimeters?

1 km × 1000 m/km × 100 cm/m = 100000 cm

e. How many miles are in a "5k" (five-kilometer) race?

1 in. = 2.54 cm

5 km =

= 5 km × 1000 m/km × 100 cm/m × 1 in. / (2.54 cm) × 1 ft / (12 in.) × 1 mile / (5280 ft)

= 3.107 miles

f. A marathon is 26.2 miles. How many kilometers is this?

26.2 miles =

26.2 miles × 5280 ft / mile × 0.3048 m/ft × km / (1000 m) = 42.165 km

Answer:

but the answer I already there that's just an example

Answer:

X = 1.5

Step-by-step explanation:

So the answer is right

because look below

The x-component of fluid acceleration in terms of x and y is 2.

To find the x-component of fluid acceleration (ax), we need to differentiate the x-component of velocity (u) with respect to time.

However, the given equations provide the expressions for u in terms of x and y, not time. Therefore, we need to differentiate u with respect to x and y instead.

Given: u = 2x + y^2

To find the x-component of fluid acceleration (ax), we differentiate u with respect to x while treating y as a constant:

ax = ∂u/∂x = ∂(2x + y^2)/∂x = 2

The x-component of fluid acceleration, ax, is simply 2.

For such more question on acceleration:

https://brainly.com/question/26246639

#SPJ8

The probability of  five card poker hand of the same suit is equal to  0.00198 ( five decimal places).

As given in the question,

Total number of ways 5 cards can be selected from a deck of 52 cards is equal to

=⁵²C₅

= ( 52!) / ( 52 -5)! 5!

= ( 52 × 51 × 50 ×  49 × 48 × 47! ) / ( 47! ) ( 5 × 4 × 3 × 2 × 1)

=  ( 52 × 51 × 50 ×  49 × 48) / (120)

= 2598960  

Number of suits = 4

Number of cards in one suit = 13

⁴C₁ represents selecting one suit out of 4 different suits .

¹³C₅ represents selecting 5 cards out of 13 cards of the same suit.

Number of ways 5-card poker hand have five cards of the same suit  is given by

Number of favourable outcomes

= ⁴C₁ × ¹³C₅

= 4 × 1287

= 5148

Probability

= ( Favourable number of outcomes) / ( Total number of outcomes)

Probability that a five-card poker hand contains a flush

= 5148 / 2598960

= 0.00198 ( round off up to five decimal places)

Therefore, the probability of  five card poker hand of the same suit is equal to  0.00198 ( five decimal places).

Learn more about probability here

brainly.com/question/11234923

#SPJ4                            

The probability of z being less than 0.25 as 0.5987 based on population proportion.

To use the normal approximation, we first need to check if the conditions are met. For this, we need to check if np and n(1-p) are both greater than or equal to 10.

np = 98 x 0.56 = 54.88

n(1-p) = 98 x 0.44 = 43.12

Since both np and n(1-p) are greater than 10, we can use the normal approximation.

Next, we need to find the mean and standard deviation of the sampling distribution of proportion.

Mean = np = 54.88

Standard deviation = sqrt(np(1-p)) = sqrt(98 x 0.56 x 0.44) = 4.43

Now we can standardize the variable X and find the probability:

z = (X - mean) / standard deviation = (56 - 54.88) / 4.43 = 0.25

Using a standard normal table or calculator, we can find the probability of z being less than 0.25 as 0.5987.

Therefore, P(X < 56) = P(Z < 0.25) = 0.5987.

Note that we rounded the mean and standard deviation to two decimal places, but you should keep the full values in your calculations to minimize rounding errors.

Learn more about proportion here:

https://brainly.com/question/13031441

#SPJ11

Answer: $16

r=remainder

s=spent

r'=final remainder

160

160-(160 x .20) = r OR 160 x .80 = r

160-32 = r = 128 = 160 x .80 =

Then , 7/8 is lost so:

128 - (7/8 x 128) :

7/8=.875

128-(.875 x 128)

Using PEMDAS:

128-(112):

128-112= $16

A residual is the difference between "the measured and predicted values of the quantity of interest".

In regression analysis, a residual would be the difference between an observable and anticipated value.

The formula is;

Residual = Observed value – Predicted value

Some key features regarding the residuals are-

To know more about the residual, here

https://brainly.com/question/1447173

#SPJ4

Answer:

the most accurate argument is (C) The transportation and brokerage costs that Suriland's farmers would face if they sold their wheat outside Suriland could amount to almost a dollar per bushel.

Step-by-step explanation:

The cost of transportation and other logistics is being covered by the government that is why the government pay less than dollar per bushel.

so the price of the wheat would have to decrease at home so that the cost of the transportation can be covered by the government who are buying directly from the farmers.

the first 4 i think

its telling me to add more characters so im typing this

Answer: PQ=15

Step-by-step explanation:

XY=(PQ+SR)/2

PQ+SR=2*XY

PQ+35=2*25

PQ+35=50

PQ=15

Answer:

y=4 cos (x)

Step-by-step explanation:

y=4 cos (x)

∫sin^−1(x)/4x^2 dx = -(sin^−1(x)/4x) + (1/4) arcsin(x) + C.

et u = sin^−1(x)/4 and dv = 1/x^2 dx. Then, du/dx = 1/(4√(1-x^2)) and v = -1/x.

Using integration by parts formula, we have:

∫sin^−1(x)/4x^2 dx = uv - ∫v du/dx dx

= -(sin^−1(x)/4x) + ∫1/(4x√(1-x^2)) dx

= -(sin^−1(x)/4x) + (1/4)∫(1-x^2)^(-1/2) d(1-x^2)

= -(sin^−1(x)/4x) + (1/4) arcsin(x) + C

Therefore, ∫sin^−1(x)/4x^2 dx = -(sin^−1(x)/4x) + (1/4) arcsin(x) + C.

Learn more about integration  here:

https://brainly.com/question/31744185

#SPJ11

The given table represents the additive property of the relation.

What about additive property?

In mathematics, the additive property refers to the property that allows the addition of two or more numbers to produce a sum or total. It states that the order in which the numbers are added does not affect the result.

The additive property can be expressed mathematically as follows:

⇒ a + b = b + a

For example, the additive property of integers states that if you add any two integers, the order in which you add them does not matter. So, 3 + 4 is the same as 4 + 3, and both equal 7.

The additive property can be extended to other mathematical operations as well, such as addition of vectors, matrices, and complex numbers. In all cases, the order in which the elements are added does not affect the final result.

According to the given information:

When we check in case of (X) we have that ,

5 + 10 = 15 , 10 + 15 = 25 , 15 + 25 = 40 that follow additive property

In the same way for (Y)

1 + 2 = 3, 2 + 3 = 5, 3 + 5 = 8 that also follow additive property of the given condition.

So, the both condition follow additive property .

To know more about additive property visit:

https://brainly.com/question/1947816

#SPJ1

The number of terms in the expression, 6 + 2 x - 4 y + 5 z is 4 terms.

In the expression 6 + 2x - 4y + 5z, the number of terms is four, not the number of signs. The terms in this expression are:

Each term is separated by an operator (either addition or subtraction), which is represented by a sign. Therefore, the expression contains three addition signs and one subtraction sign.

Find out more on the number of terms at https://brainly.com/question/30659621

#SPJ1

The full question is:

How many terms are in the following expression 6 + 2 x - 4 y + 5 z

A'(1/2, 1/2), B'(3/4, 3/2), C'(1, 1/2) are the coordinates of the image after dilation.

Given,

Triangle ABC is dilated with a scale factor 2 at the origin.

We have to find the coordinates of the image;

Dilation;

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.

Here,

The vertices of the triangle;  A(1, 1), B(1.5, 3), C(2, 1).

After the dilation of a scale factor 2, the new point;

A'(1/2, 1/2), B'(3/4, 3/2), C'(1, 1/2).

That is,

The coordinates of the image after dilation is, A'(1/2, 1/2), B'(3/4, 3/2), C'(1, 1/2).

Learn more about dilation here;

https://brainly.com/question/14875952

#SPJ4

The value of (double)(5/2) is 2.0. In the expression (double)(5/2), the division operation 5/2 is performed using integer division because both 5 and 2 are integers.

Integer division truncates the decimal part of the result and returns the quotient as an integer. In this case, 5 divided by 2 is equal to 2.

However, by explicitly casting the result to a double (using the (double) operator), we convert the integer value 2 to a double value, which becomes 2.0.

Therefore, the value of (double)(5/2) is 2.0, as the division is performed as an integer division followed by a casting to a double.

Learn more about integer division here: brainly.com/question/29973856
#SPJ11

Answer:

28 miles

Step-by-step explanation:

subtract the pay to the additional pay

Answer:

mean height of girls = 1.48 metres

Step-by-step explanation:

total height of all students = 1.515 x 32 = 48.48

total height of boys = 1.56 x 14 = 21.84

Total girls = 48.48 - 21.84 = 26.64

32 students - 14 boys = 18 girls

mean height of girls = 26.64/18 = 1.48 metres

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we find the square root of 100(for this we use a calculator)

\(\sqrt{100\\}\) = 10

The square root of 100 is 10.

Now locate 10 on a number line.

The probability that it was a fight of marine A is 0.5789

Given data:

Arfine Ahas 49% of all scheduled flights, airline B has 27 sud airline C has the remaining 24%.

Their on-4ime-rakes are 85%,60%, and 37% respectively.

A flight just left on-time

We need to find the probability that it was a fight of marine A, Probability = ?

Let A, B, and C be the events of selecting airlines A, B, and C, respectively.

P(A) = 49/100,

P(B) = 27/100,

P(C) = 24/100.

P(on-time|A) = 85/100,

P(on-time|B) = 60/100,

P(on-time|C) = 37/100.

The probability that the flight is on time is given as P(on-time).

P(on-time) = P(A) * P(on-time|A) + P(B) * P(on-time|B) + P(C) * P(on-time|C)

= (49/100) * (85/100) + (27/100) * (60/100) + (24/100) * (37/100)

= 0.718

The probability that it was a fight of marine A is given as:

P(A|on-time) = (P(A) * P(on-time|A)) / P(on-time)

= (49/100) * (85/100) / 0.718

= 0.5789

Therefore, the probability that it was a fight of marine A is 0.5789 (approximately).

To know more about probability visit:

https://brainly.com/question/31828911

#SPJ11

Answer:

the chancesthat i pick a 4 a 1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since we are not told what to find, we can as well find the new tire pressure after reducing to 28% of the target pressure

Given the target tire pressure = 32psi

If the tire pressure of the vehicle is 28% below the target pressure, then the pressure of the tire will be;

32 - (28% of the target pressure)

= 32 - (28% of 32)

= 32 - (0.28 * 32)

= 32 - 8.96

= 23.04psi

Hence the new tire pressure if it is 28% below the target is 23.04psi

Answer:

:5:5&&'4&4&4&:&;4"33*2**223$&4&4&55&

Answer:

0.00010412328

The number of integrals required in the shell method is one or two, depending on the axis of rotation and the dimension of the solid of revolution.

The number of integrals required in the shell method depends on the dimension of the solid of revolution being generated. The shell method generates a solid of revolution by rotating a region about an axis.

For a solid of revolution generated by rotating a two-dimensional region about a vertical axis (i.e., a vertical shell), two integrals are required: one to find the volume of the shell and another to add up the volumes of all the shells to get the total volume of the solid.

For a solid of revolution generated by rotating a two-dimensional region about a horizontal axis (i.e., a horizontal shell), one integral is required to find the volume of the solid.

To know more on shell method

https://brainly.com/question/30401636

#SPJ4

Answer:

2:3:5

Step-by-step explanation:

Here, we are going to be using direct numbers from the ratio

Circles to triangles is; 2:3

So for 200 circles, there are 300 triangles

Triangles to rectangles ; 2:5

300 triangles, there are 500 rectangles

Circles to triangles to rectangles is thus;

200: 300:500

= 2:3:5

it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

What is Integers?

A whole number is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+, and √2 are not. The set of integers consists of zero, positive natural numbers, also called integers or counting numbers, and their additive inverses.

To prove that there are no integers x, y, z such that x² + y² = 8z + 3, we can use the concept of modulo arithmetic.

First, let's consider the possible values of x² and y² modulo 8:

For any integer n, n² modulo 8 can only be 0, 1, or 4.

Now, let's examine the possible values of 8z + 3 modulo 8:

8z modulo 8 is always 0.

3 modulo 8 is equal to 3.

Therefore, the possible values of x² + y² modulo 8 can only be 0, 1, or 4, while 8z + 3 modulo 8 is equal to 3. Since 0, 1, and 4 are not equal to 3 modulo 8, there are no integers x, y, z that satisfy the equation x² + y² = 8z + 3.

Hence, it is proven that there are no integers x, y, z such that x² + y² = 8z + 3.

To learn more about Integers from the given link

https://brainly.com/question/490943

#SPJ4

the value is $3.02

Answer:

$ 3:20

Step-by-step explanation:

also WHAT THE HECK THIS IS LIKE FIRST GRADE STUFF!!

The identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

ta: Mean time between calls to the center

tθ: Effective response time

∂a: Standard deviation of the time between calls to the center

∂θ: Standard deviation of the effective response time

ra: Rate of calls to the center (inverse of ta, i.e., ra = 1/ta)

rθ: Rate of effective response (inverse of tθ, i.e., rθ = 1/tθ)

Given information:

Mean time between calls to the center (ta) = 6 minutes

Standard deviation of time between calls (∂a) = 4 minutes

Effective response time (tθ) = 11 minutes

Standard deviation of effective response time (∂θ) = 20 minutes

Using this information, we can determine the values of the parameters:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/ta = 1/6 minutes^(-1)

rθ = 1/tθ = 1/11 minutes^(-1)

So, the identified parameters are:

ta = 6 minutes

tθ = 11 minutes

∂a = 4 minutes

∂θ = 20 minutes

ra = 1/6 minutes^(-1)

rθ = 1/11 minutes^(-1)

Learn more about Standard Deviation here:

https://brainly.in/question/50665860

#SPJ11

-1/7, since parallel lines have equal slopes.

Answer:

Equation will be y = 5x + c

Step-by-step explanation:

For point (5, 1)

1 = 5(5) + c

Or, c = - 24

So, y = 5x - 24