Please what’s the answer to this problem


He has decided to remove all the old sod (grass), bring in a new 4 inch layer of topsoil, install new in-ground sprinklers, and reseed the lawn. He seems to think that he'll be able to save money by hauling loads of topsoil from the store himself in his pickup truck, rather than paying for delivery, but I don't think he's right. You're going to help us settle this.

Here is (most of) the information you asked for:

Is he redoing the whole yard or just the front?
He's redoing the whole yard
How much topsoil does he need?
I'm not sure, you'll have to figure that out. Remember he's putting a new 4 inch layer down over all the area currently covered by grass in the overhead picture above.
How big is the yard?
I'm not sure, but you can probably estimate it using the overhead picture.
What kind of pickup truck does he drive?
A 2003 Ford F-150 XL.
How much can the pickup carry?
The truck bed is 80 inches long, 69 inches wide, and 20 inches tall.
The payload capacity is about 1800 pounds.
How much is the delivery charge?
$30 per truckload on top of the soil cost. Each truckload can deliver up to 18 cubic yards.
How much does the topsoil cost?
$18 per cubic yard (sold in 1/4 yard increments).
How much does the topsoil weigh?
Topsoil weighs about 2000 pounds per cubic yard.
How far is the soil store?
It is 9 miles away. It takes about 20 minutes to drive there.
What gas mileage does the pickup truck get?
It averages 17 miles to the gallon.
What is the current gas cost?
Assume it's $3.79/gallon.
Using this information, figure out whether my neighbor will save money by picking up the soil himself. Use the results of your calculations to guide your decision: would you recommend that my neighbor pick up the soil himself, or pay for delivery?

Detail all your assumptions and calculations, and clearly write out your final conclusions.

\(\huge\text{Hey there!}\)

\(\large\textsf{(2x - 1)(5x + 3) = 0}\\\rightarrow\large\textsf{10x}\mathsf{^2}\large\textsf{ + x - 3 = 0}\)

\(\huge\text{FACTOR the LEFT SIDE of the equation}\)

\(\large\textsf{(5x + 3)(2x - 1) = 0}\)

\(\huge\text{SET the FACTORS to equal to 0}\)

\(\large\textsf{5x + 3 = 0 or 2x - 1 = 0}\)

\(\huge\text{SIMPLIFY \& YOU HAVE YOUR RESULT}\\\\\huge\text{to your question if you solved correctly.}\)

\(\boxed{\boxed{\huge\text{Answer: \boxed{\mathsf{x = - \dfrac{3}{5}\ or \ x = \dfrac{1}{2}}}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer: I think the answer is thousands

Step-by-step explanation:

Answer:

100,000

Step-by-step explanation:

first # = 70, 2 digits

second # = 1,000 times greater than 70  1,000 = 4 digits

4 + 2 = 6, 100,000 = 6 digits

Answer:

It is an Irrational Number

Answer:

24 covered with peanuts

40 covered with choc chips

56 covered with sprinkles

The term that should be added to the expression to make the expression perfect square trinomial is 169/4. The expression then becomes : (y - 13/2)²

What is meant by a perfect square trinomial?

By multiplying a binomial by another binomial, perfect square trinomials—algebraic equations with three terms—are created. A number can be multiplied by itself to produce a perfect square. Algebraic expressions known as binomials are made up of simply two words, each of which is separated by either a positive (+) or a negative (-) sign. Similar to polynomials, trinomials are three-term algebraic expressions.

A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is said to be a perfect square.

Given expression y² - 13y + ?

Comparing with the general equation

a = 1

b = -13

For perfect square trinomial

b² = 4ac

(-13)² = 4 * 1 * c

169 = 4c

c = 169/4

So the expression becomes,

y² - 13y + 169/4 = (y - 13/2)²

Therefore the term that should be added to the expression to make the expression perfect square trinomial is 169/4.

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The two transformations, when combined that can be used to prove ΔABC ~ ΔDEC is; B: dilation of ΔABC by a factor of 2 about the point (-4, -4)

Congruent triangles are defined as triangles that have exactly the same size and shape.

Now, in transformations, there could be reflection, dilation by enlargement or reduction, translation, e.t.c

Now, we see from the image that image has two triangles namely ΔABC and ΔDEC. We see that ED is 3 units while AB is 6 units. We also see that the altitude of ΔDEC is 2 units while the altitude of ΔABC  is 4 units. Thus, the way we can make ΔABC congruent to ΔDEC, we will dilate ΔABC by a factor of 2 about the point (-4, -4)

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let's take a peek at the picture above, hmmm let's notice the vertex is at (-1 , 2), now let's get a point besides the vertex hmmm let's see it passes through (-2 , -1).

So we can reword that as what's the equation of a quadratic whose vertex is at (-1 , 2) and it passes through (-2 , -1)?

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=-1\\ k=2\\ \end{cases}\implies y=a(~~x-(-1)~~)^2 + 2\hspace{4em}\textit{we also know that} \begin{cases} x=-2\\ y=-1 \end{cases} \\\\\\ -1=a( ~~-2-(-1) ~~ )^2 + 2\implies -3=a(-2+1)^2\implies -3=a \\\\\\ ~\hfill~ {\Large \begin{array}{llll} y=-3(x+1)^2 + 2 \end{array}} ~\hfill~\)

Answer:

y = -3(x + 1)^2 + 2

Step-by-step explanation:

y = a(x - h)^2 + k is the vertex form of a quadratic, where

Finding (h, k):

We see from the graph that the vertex is a maximum and its coordinates are (-1, 2).  Thus h is -1 and k is 2.  Since h becomes negative, it will be 1 in the parentheses: (x - (-1) = (x + 1).

Finding a:

In order to find a, we will need to plug in a point on the parabola for (x, y) and (-1, 2) for h and k.  We see that (0, -1) lies on the parabola so we can use this point for (x, y).

-1 = a(0 - (-1))^2 + 2

-1 = a(0 + 1)^2 + 2

-3 = a(1)^2

-3 = a

Thus, a = -3.

Thus, the exact equation in vertex form of the parabola is:

y = -3(x + 1)^2 + 2

I attached a picture from Desmos Graphing Calculator that shows how the equation I provided works and contains the two points you marked on the parabola, including (-1, 2) aka the maximum, and (0, -1) aka the y-intercept.

Answer:

x = 9.75

Step-by-step explanation:

1 / 4 * ( 8x + 2) = 20

( 8x + 2) = 20 / (1/4)

8x + 2 = 20 * 4

8x + 2 = 80

8x = 78

x = 9.75

Answer:

x=39/4  (39 over 4 as a fraction)

x^6

When multiplying numbers in exponential form, if the number is the same, you can simply add the exponents:

x^2 * x^4 = x^(2+4) = x^6

Face Value of Promissory Note: $1,200.00

1. Determine the interest value of the promissory note.

  Interest = Maturity Value - Principal Amount

  Interest = $1,190.03 - Principal Amount

2. Calculate the interest rate for four months.

  Interest Rate = (Interest / Principal Amount) * (12 / Number of Months)

  50% p.a. = (Interest / Principal Amount) * (12 / 4)

3. Substitute the calculated interest rate into the equation and solve for the Principal Amount.

  0.5 = (Interest / Principal Amount) * 3

  Principal Amount = Interest / (0.5/3)

4. Substitute the given maturity value into the equation and solve for the Principal Amount.

  $1,190.03 = Principal Amount + Interest

  Principal Amount = $1,190.03 - Interest

5. Equate the Principal Amounts obtained from steps 3 and 4, and solve for the interest value.

  Interest / (0.5/3) = $1,190.03 - Interest

  Interest = $1,190.03 * (0.5/3) / (1 + 0.5/3)

6. Substitute the calculated interest value into step 2 and solve for the Principal Amount.

  50% p.a. = (Interest / Principal Amount) * (12 / 4)

  Principal Amount = Interest / (0.5/3) * (4 / 12)

7. The Principal Amount obtained from step 6 is the face value of the promissory note.

  Face Value = Principal Amount

Therefore, the face value of the four-month promissory note dated May 20, 2018, with a 70 50% p.a. interest rate and a maturity value of $1,190.03 is $1,200.00.

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Answer:

Two factors

Step-by-step explanation:

it is important to note that every integer number has at least two factors:1 and the number itself. if a number has only two factors that number is a prime number

a)The set of integers between 1 and 50, divisible by 8 are given as.

S={ 8,16,24,32,40,48}

b ) Hence, the set {-5,1}

c) The list of set of outcomes when a coin is tossed until a tail or three heads appear will be.

S={T,HT,HHT,HHH}

d) S={Europe, Asia, Australia, North America, South America, Africa, Antarctica.}

a) We have to find a list of integers between 1 and 50, divisible by 8.

Keep in mind that the S is the event that represents the sample space. The set of integers between 1 and 50, divisible by 8 are given as.

S={ 8,16,24,32,40,48}

b)  We need to list the set S= {\(x| x^2+4x-5=0}\)}

\(x^2+4x-5=0\\\\x^2+5x-x-5=0\\x(x+5)-(x+5)==\\(x+5)(x-1)=0\\\\x=-5 , x=1\)

Hence, the set {-5,1}

c) c) We have to find a list of the set of outcomes when a coin is tossed until a tail or three heads appear.

Let T denote the event that tail appeared.

Let H denote the event that head appeared.

The list of set of outcomes when a coin is tossed until a tail or three heads appear will be.

S={T,HT,HHT,HHH}

d) We need to list the set

S={x ∣ x is a continent}.

There are 7 continents:

S={Europe, Asia, Australia, North America, South America, Africa, Antarctica.}

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​

The queuing delay in a router buffer can be modeled as:

Dq = (1/2) * (I / (1 - I)) * (Tt^2)

where Dq is the queuing delay, I is the traffic intensity, and Tt is the transmission time of a packet.

The transmission delay can be calculated as:

Dt = L / R

where L is the length of the packet and R is the transmission rate.

The total delay, which is the sum of the queuing delay and the transmission delay, can be calculated as:

Dtotal = Dq + Dt

Dtotal = (1/2) * (I / (1 - I)) * (Tt^2) + L / R

where Dtotal is the total delay, L is the length of the packet, R is the transmission rate, I is the traffic intensity, and Tt is the transmission time of a packet.

Note that the above formula assumes that the router buffer has infinite capacity and that the packets are served on a first-come, first-served basis. In practice, the actual queuing delay may be higher due to the finite buffer size and other

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Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

This equation can be factored as:

(2x + 5)(x - 2) = 0

Setting each factor equal to zero, we get:

2x + 5 = 0 => 2x = -5 => x = -5/2

x - 2 = 0 => x = 2

Therefore, the x-intercepts of the graph of f(x) are x = -5/2 and x = 2.

Part B: The vertex of the graph of f(x) can be determined using the formula x = -b/2a, where a and b are the coefficients of the quadratic equation in standard form (ax² + bx + c = 0).

In this case, a = 2 and b = -1. Plugging these values into the formula, we have:

x = -(-1) / (2 * 2) = 1/4

To determine if the vertex is a maximum or a minimum, we can examine the coefficient of the x² term. Since the coefficient a is positive (a = 2), the parabola opens upwards, and the vertex represents a minimum point

Therefore, the vertex of the graph of f(x) is (1/4, f(1/4)), where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Part C: To graph f(x), we can follow these steps:

Plot the x-intercepts: Plot the points (-5/2, 0) and (2, 0) on the x-axis.

Plot the vertex: Plot the point (1/4, f(1/4)) as the vertex, where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Determine the direction of the graph: Since the coefficient of the x² term is positive, the graph opens upwards from the vertex.

Determine additional points: Choose a few x-values on either side of the vertex and calculate their corresponding y-values by substituting them into the equation f(x). Plot these points on the graph.

Draw the graph: Connect the plotted points smoothly, following the shape of the parabola. Ensure the graph is symmetrical with respect to the vertex.

The answers obtained in Part A (x-intercepts) and Part B (vertex) provide crucial points to plot on the graph, helping us determine the shape and position of the parabola.

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The x-intercepts from the graph attached are

The vertex  from the graph attached is

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

x = (-b ± √(b² - 4ac)) / (2a)

a = 2, b = -1, c = -10

Plugging these values into the quadratic formula:

x = (-(-1) ± √((-1)² - 4 * 2 * (-10))) / (2 * 2)

x = (1 ± √(1 + 80)) / 4

x = (1 ± √81) / 4

x = (1 ± 9) / 4

x₁ = (1 + 9) / 4 = 10 / 4 = 2.5

x₂ = (1 - 9) / 4 = -8 / 4 = -2

Therefore, the x-intercepts of the graph of f(x) are 2.5 and -2.

Part B

To find the coordinates of the vertex, we can use the formula:

x = -b / (2a)

x = -(-1) / (2 * 2) = 1 / 4 = 0.25

we substitute this value back into the original function:

f(0.25) = 2(0.25)² - 0.25 - 10

f(0.25) = 0.125 - 0.25 - 10

f(0.25) = -10.125

Therefore, the vertex of the graph of f(x) is located at (0.25, -9.125).

Part C: The steps to graph f(x) include:

Plotting the x-intercepts: Based on the results from Part A, we know that the x-intercepts are 2.5 and -2. We mark these points on the x-axis.

Plotting the vertex: Using the coordinates from Part B, we plot the vertex at (0.25, -9.125). This represents the minimum point of the graph.

Drawing the shape of the graph: Since the coefficient of the x² term is positive, the graph opens upward. From the vertex, the graph will curve upward on both sides.

Additional points and smooth curve: To further sketch the graph, we can choose additional x-values and calculate their corresponding y-values using the equation f(x) = 2x² - x - 10. Plotting these points and connecting them smoothly will give us the shape of the graph.

By using the x-intercepts and vertex obtained in Part A and Part B, we have the necessary information to draw the graph accurately and show the key features of the quadratic function f(x)

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Answer:

F

Step-by-step explanation:

64x³ = -1

x³ = -1/64

x = ∛-1/∛64

x = -1/4

Answer:

x = - \(\frac{1}{4}\)

Step-by-step explanation:

64x³+1=0

Add 1 to both sides:

64x³=-1

Divide both sides by 64:

x³=-\(\frac{1}{64}\)

Find cubed root of both sides:

x=-\(\sqrt[3]{\frac{1}{64}}\)

Note that \(\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\) :

x=-\(\frac{\sqrt[3]{1} }{\sqrt[3]{64} }\)

Evaluate:

x = - \(\frac{1}{4}\)

Answer: andres is 5 years old pls banned him he called e a mean word like the N word

Step-by-step explanation:

Answer: C (A unimodal histogram, and the dotted line lands at 210)

Step-by-step explanation:

Khan Academy - “The sample size is reasonably large (n = 30 _> 30), so the sampling distribution of x will be approximately normal even though the population isn’t.”

Answer:

the answer is D. F(x) = 1/x(x-3)

Step-by-step explanation:

Answer: Its high

Step-by-step explanation: It just is

The probability that Brent draws mismatched socks is 32/153.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Since Brent is drawing two socks without replacement, there are 18 choices for the first sock and 17 choices for the second sock.

Therefore, there are 18 x 17 = 306 possible ways Brent could draw two socks.

For Brent to have mismatched socks, he needs to draw a white sock first and a black sock second, or a black sock first and a white sock second.

Let's consider the first case.

There are 16 white socks and 2 black socks, so there are 16 x 2 = 32 ways Brent could draw a white sock first and a black sock second.

For the second case, there are 2 black socks and 16 white socks, so there are 2 x 16 = 32 ways Brent could draw a black sock first and a white sock second.

Therefore, the probability of Brent drawing mismatched socks is:

= (32 + 32) / 306

= 64 / 306

= 32 / 153

Thus, the probability that Brent draws mismatched socks is 32/153.

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The amount insurance company will pay is $700000.

We are given that

Age of Mr. lewis= 63

Policy value= $700,000

Now,

If Mr. Lewis dies after paying for the policy for 24 months, he would have paid a total of 24 * $72 = $1728 in premiums. Since he has a five-year level-term life insurance policy with a face value of $700,000, his beneficiaries would receive the full face value of the policy if he dies within the five-year term.

Therefore, by algebra the answer will be $700000.

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Answer:

A = 108 units²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂ )

where h is the height between the 2 bases and b₁, b₂ are the parallel bases

Here h = 24 , b₁ = 8 , b₂ = 1 , then

A = \(\frac{1}{2}\) × 24 × (8 + 1) = 12 × 9 = 108 units²

Answer:

A ton is equal to 2000 pounds. So half a ton is equal to 2000/2 = 1000 pounds.

If the store sells 1000 pounds of bananas at a price of $0.70 per pound, the total revenue the store will receive is 1000 * $0.70 = $700.

Step-by-step explanation:

The distribution of the number of phone calls with a mean of 41 and a standard deviation of 7. 95.44% is the percentage of the daily phone calls between 27 and 55.

Given that,

The distribution of the number of phone calls handled by each of the 12 receptionists in a mid-sized company is bell-shaped, with a mean of 41 and a standard deviation of 7. When applying the empirical rule.

We have to find what percentage of daily phone calls, on average, fall between the range of 27 and 55.

Mean=41

Standard deviation=7

x=27 and 55

Let, x₁=27 and x₂=55

First calculate z-score for the daily sample of 27 calls.

Formula z-score=(x-mean)/standard deviation.

z-score=(27-41)/7

z-score=-14/7

z-score=-2

So, z-score for the daily sample of 27 calls is -2.

Now, calculate z-score for the daily sample of 55 calls.

z-score=(55-41)/7

z-score=14/7

z-score=2

So, z-score for the daily sample of 55 calls is 2.

We can see that there is a change in z-score of 27 and 55 that is -2 and 2.

By using normal distribution table

The percentage of the daily phone calls between 27 and 55 =

0.9772-0.0228=0.9544

Therefore, 95.44% is the percentage of the daily phone calls between 27 and 55.

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The average score of the spelling test is 90.6%

To find the average score of the test, we need to add up all the scores and divide by the total number of students. We can think of the average score as the "typical" or "representative" score of the entire class.

First, let's add up all the scores:

2(100) + 9(95) + 10(90) + 3(80) + 1(70) = 200 + 855 + 900 + 240 + 70 = 2265

Next, we divide by the total number of students:

Average score = (2 + 9 + 10 + 3 + 1) / 25 * 100% = 25 / 25 * 100% = 90.6%

Therefore, the average score of the spelling test is 90.6% when rounded to one decimal place.

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The standard deviation of the response time is 1.53 minutes.

To get standard deviation, we will determine z-scores corresponding to the given percentiles and use them to calculate the standard deviation.

Z-score = z = (x - μ) / σ

For the lower bound of 10 minutes:

z = (10 - 13) / σ

For the upper bound of 16 minutes:

z = (16 - 13) / σ

As normal distribution is symmetric, the z-score corresponding to the lower tail of 2.5% is -1.96, and the z-score corresponding to the upper tail of 2.5% is 1.96.

Using z-scores, we set up  equations:

(10 - 13) / σ = -1.96

(16 - 13) / σ = 1.96

Solving the first equation:

-3 / σ = -1.96

σ = -3 / -1.96

Solving the second equation:

3 / σ = 1.96

σ = 3 / 1.96

Dividing both sides by 1.96:

-3 / 1.96 = σ

1.53 = σ

Full question:

The respone times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes. What is S.D. of the response time.

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Answer:

Part A:

To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.

Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135

Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54

Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189

Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100

Percentage = (189 / 205) x 100 = 92.2%

Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.

Part B:

To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.

Frequency of "Likes hamburgers" = 110 (given)

Total respondents = 205 (given)

Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents

Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%

Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.

Part C:

To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.

Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)

Marginal frequency of "Likes hamburgers" = 110 (given)

Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)

To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:

Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")

Ratio = 29 / (110 x 70)

Ratio ≈ 0.037 (rounded to three decimal places)

The length of UV and RS is 72.2in and 114 in respectively

From the given truss. you can see that:
VW = UR = RS = 57in

Get the length of RS

To get the length of UV, we will use the expression

SU/UV = SR/RT

57/UV = 114/90

UV = 72.2in

Hence the length of UV and RS is 72.2in and 114 in respectively

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Answer:$2050.

Step-by-step explanation:

To find out how much a person will pay for renting a car for one day and driving it 100 miles using the given equation, you can substitute x = 100 into the equation y = 50 + 20x and solve for y:

y = 50 + 20x

y = 50 + 20(100)

y = 50 + 2000

y = 2050

Therefore, a person who rents a car for one day and drives it 100 miles will pay $2050.

Answer:

90 i think

Step-by-step explanation: