Evaluate the function for for f(2),
f(x) = x2 – 5x +7

To solve this problem, we need to set up a system of equations based on the given information. Let's assume that the farmer needs x cubic yards of mix a and y cubic yards of mix b.

For phosphoric acid, the equation would be:
x * pounds of phosphoric acid in mix a + y * pounds of phosphoric acid in mix b = pounds of phosphoric acid required

For nitrogen, the equation would be:
x * pounds of nitrogen in mix a + y * pounds of nitrogen in mix b = pounds of nitrogen required

For potash, the equation would be:
x * pounds of potash in mix a + y * pounds of potash in mix b = pounds of potash required

We can solve this system of equations using substitution or elimination method. Once we find the values of x and y, we can calculate the total cost.

Since the question asks for the answer in more than 100 words, I'll provide an explanation for the solution process.

1. Set up the equations using the given information.
2. Solve the system of equations to find the values of x and y.
3. Substitute the values of x and y into the cost equation to find the total cost.

The solution to the problem is to blend x cubic yards of mix a and y cubic yards of mix b to meet the minimum monthly requirements at a minimum cost. The total cost can be calculated by substituting the values of x and y into the cost equation.

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Answer:

12.5%

Step-by-step explanation:

percent of change:  (new value - old value) / old value

(18 - 16) / 16 = 2/16 = 1/8

1/8 = .125 or 12.5%

Answer:

-4

Step-by-step explanation:

substitute -2 into the formula and solve

\(f(x)=(-2)^2+3(-2)-2\\f(x)=4+(-6)-2\\\boxed{f(x)=-4}\)

Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

According to the question we have  the 99% UCB on the mean time of the race is 223.

The formula for finding the upper confidence bound (UCB) is UCB = Mean + (Zα/2)(σ/√n), where Mean is the sample mean, Zα/2 is the z-score for the desired level of confidence, σ is the population standard deviation (which is not given, so we'll use the sample standard deviation instead), and n is the sample size.

We are given the sample of times as follows:137, 143, 153, 162, 168, 176, 190, 192, 196, 203, 218, 223, 236, 243, 252, 269, 271, 276, 283, 287.

We'll need to calculate the sample mean and standard deviation before we can find the UCB. Using a calculator, we get: mean ≈ 207.65s ≈ 48.41 Next, we'll use a table or calculator to find the z-score for a 99% confidence interval, which is Zα/2 = 2.576.

Now we can plug in the values we know to get the UCB:UCB = mean + (Zα/2)(σ/√n)UCB ≈ 207.65 + (2.576)(48.41/√20)UCB ≈ 223.02 .Therefore, the 99% UCB on the mean time of the race is 223.

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There are 70 different types of pizzas could be ordered

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter

Given,

Number of options on crust=2

Number of options on topping= 7

Number of options on size= 5

Therefore for each type of crust there are 7 different topping, for each toppings there are 5 different sizes

The total number ways of ordering pizza=2×7×5=70

Hence, there are 70 different types of pizzas could be ordered

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n = the numerator of the fraction

\(\cfrac{p}{p-2}~~ = ~~\cfrac{n}{4-p^2}\implies \cfrac{p(4-p^2)}{p-2}~~ = ~~n\implies \cfrac{p(-1)(p^2-4)}{p-2}=n \\\\\\ \stackrel{ \textit{difference of squares} }{\cfrac{p(-1)(p^2-2^2)}{p-2}}=n\implies \cfrac{-p(p-2)(p+2)}{p-2}=n \\\\\\ \boxed{-p(p+2)=n}\hspace{5em}\cfrac{-p(p+2)}{4-p^2}\)

Answer:

The solution is 24

Step-by-step explanation:

3/4 = n/32

3(32) = 4n

96 = 4n

4n = 96

n = 96/4

n = 24

The union set of A and B is A∪B={1, 2, 3, 4, 5, 6, 7, 9}.

Given that, A={x|x is an odd number greater than 0 and less than 10} and B={2, 3, 4, 5, 6}.

Here, set A={1, 3, 5, 7, 9}

Now, A∪B = {1, 3, 5, 7, 9}∪{2, 3, 4, 5, 6}

= {1, 2, 3, 4, 5, 6, 7, 9}

Therefore, the union set of A and B is A∪B={1, 2, 3, 4, 5, 6, 7, 9}.

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Answer

Option A is correct.

B' (15, 6) is the answer.

Explanation

To dilate a given coordinate (x, y) about the origin by a scale factor of n, we will obtain (nx, ny).

So, for the given coordinate (5, 2), dilating by the scale factor of 3, we will obtain

B (5, 2) = B' (5×3, 2×3) = B' (15, 6)

Hope this Helps!!!

Answer:

9 + 3 = 12

Check:

12 - 9 = 3

Have an amazing day! <3

Answer:

12

Step-by-step explanation:

Therefore, the rank of matrix 'a' in this case would be 5.

To find the rank of a matrix, we need to perform row reduction to obtain its row echelon form (REF) or reduced row echelon form (RREF). However, since the matrix 'a' is not provided, I cannot perform the calculations or determine its rank.

The rank of a matrix is equal to the number of non-zero rows in its row echelon form or reduced row echelon form. If the system of equations 'ax = 0' has a two-dimensional solution space, it means that the rank of matrix 'a' is less than the number of columns (6) but greater than 4 (since the solution space is two-dimensional).

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Answer:

(x, y ) → (x + 7, y + 5 )

Step-by-step explanation:

Consider the coordinates of R and R'

R (- 5, 0 ) and R' (2, 5 )

x- direction : - 5 → 2 is + 7 units

y- direction : 0 → 5 is + 5 units

Translation rule is (x, y ) → (x + 7, y + 5 )

Answer:

No, x>3/2

Step-by-step explanation:

Too lazy sorry.

If the difference between the squares of two consecutive odd number be 48 then the first number is 11 and the second number is 13.

Given that the difference between the squares of two consecutive odd number be 48.

We are required to find the numbers.

Odd numbers are basically those numbers which are not divisible by 2.

Consecutive numbers are those numbers which come one after other.

Suppose the first number be x.

In this way the second number be x+2.

We are given that the difference between the squares of these numbers is 48. So,

\((x+2)^{2} -x^{2}\)=48

\(x^{2} +4+4x-x^{2}\)=48

4+4x=48

4x=48-4

4x=44

x=11

Put the value of x in x+2 to get the other number.

Second number=11+2=13

Hence if the difference between the squares of two consecutive odd number be 48 then the first number is 11 and the second number is 13.

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Answer:

probably a. metres

Step-by-step explanation:

hectometres are huge and the other two are super small so thats my guess lol

Answer:

Step-by-step explanation:

A square meters-

Millimeters are super small

And the other ones are to huge

Dats easy

The number of nickels and dimes that Ariana has are 58 and 91

Linear Equation:

The polynomial equation with 1 degree representing an unknown quantity is known as a Linear equation. Here to represent the unknown quantity we will use variables like x, y, z .... etc.

From the given problem,

The amount that Ariana = $12.00

As we know 1 dollar = 100 cents

⇒ $12.00 = 12 × 100 = 1200 cents  

Total number of nickels and dimes = 149

Since we don't know the number of nickels and dimes we will represent them with variables x and y respectively.

The amount of x nickels coins

= x × 5 cents = 5x cents   [ ∵ nickels = 5 cents ]  

The amount of y dimes coins

= y × 10 cents = 10y cents   [ ∵ dimes = 10 cents ]  

From the above calculations the equation that can be formed

Total amount that Ariana is 5x + 10y = 1200 cents

=> x + 2y = 240 ----- Equation (1)  

Total number of coins is  x + y = 149 ----- Equation (2)    

Now solve (1) and (2) to find the number of each coin  

Do (1) - (2)

=> x + 2y - [ x + y ] = 240 - 149

=> x + 2y - x - y  = 91  

=> y  = 91      

Substitute y = 91 in Equation (2)      

(2) => x + 91 = 149

=> x = 58

The number of nickels and dimes that Ariana has are 58 and 91

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you should use desmos

Answer: y= -10x - 10

Step by step explanation: All you need to do is distrubute then solve for y and then graph, and that is all you need to do, you can do this on Desmos

Given information:h(t) = -5t² + 12t + 14 where t is measured in seconds.a) How high is the rock off the ground when it is thrown?For h(0), the initial height of the rock is required.h(0) = -5(0)² + 12(0) + 14 = 14 meters.

For h(t), the rock's maximum height needs to be found to determine the time when the rock hits the ground. In order to determine the maximum height, first, we need to find the time of maximum height using the formula:

tmax = -b/2a = -12/2(-5) = 1.2s

Now, h(1.2) can be found to determine the maximum height:

h(1.2) = -5(1.2)² + 12(1.2) + 14 = 20.8 meters

Therefore, the rock is in the air for (1.2*2) 2.4 seconds.c) For what times is the height of the rock greater than 17 metres?This means h(t) > 17. Solving this inequality gives:-

5t² + 12t + 14 > 17

=> -5t² + 12t - 3 > 0

=> (-5t + 3)(t - 1) > 0

From part c, we know that the rock's height is greater than 17 metres between 0 and 0.6 seconds and after 1 second. Therefore, the time the rock is above 17 metres is the sum of these two time periods:0.6 seconds + (2 - 1) seconds = 1.6 seconds.

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Answer: What do you need the total or the equation? I am going to write the equation.

Step-by-Step Solution: (5)(d)+(5)(d)(2.5)+ (5)(d)-4

Answer:

Step-by-step explanation:

That’s the answer (the pic)

The best data measurement for collecting data that may include decimals and fractions is continuous data.

Continuous data is a type of quantitative data that can take on any value within a specific range. It includes decimal numbers and fractions, allowing for more precise measurements and a greater level of detail. Continuous data can be measured on a continuous scale, such as time, temperature, weight, height, or length.

In contrast, discrete data is limited to specific values or categories and does not include decimals or fractions. Discrete data is often counted or categorized, such as the number of students in a class or the type of car models in a parking lot.

Given that the data being collected may include decimals and fractions, continuous data measurement would be most appropriate to capture the variability and precision of the data.

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As per the volume of rectangle, the volume of freezer is 9600 cubic inches.

The formula to calculate the volume of rectangle is written as

=> V = l x w x h

Where l refers the length, w refers the width and h refers the height of rectangle.

Here let us consider that the hamburger box is in the shape of rectangle then the measures 3 inches by 8 inches by 8 inches. The freezer can hold 50 boxes of frozen hamburger filling every inch.

Then we have identified that values of

=> Length = 8 inches

=> Width = 8 inches

=> Height = 3 inches

Then the volume of the box is calculated as,

=> V = 8 x 8 x 3

=> V = 192 cubic inches.

Here we also know that 50 boxes of frozen hamburger filling every inch.

Then the freezer can hold,

=> 192 x 50

=> 9600 cubic inches.

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Answer:

Either a or d

Step-by-step explanation:

Because they show the data correctly it is A trust me

Answer: Scatterplot A

Step-by-step explanation:

edGE 23

Answer:

y=21

Step-by-step explanation:

y= 9 cos x =3 so y=3 when x=1 on the base level so if x=7 would be x=1 on the base level * 7 then y=3 on the base level * 7 would be y = 21

Answer:

Step-by-step explanation:

Theres no picture

Answer:

Can you show the picture real quick use ctrl shift s to screen shot or window  F11

Step-by-step explanation:

Answer:

Option 2: 1.5 is the correct answer.

Step-by-step explanation:

Given information is:

Mean = μ = $27

SD = σ = $5.50

A z-score simply tells us how far a selected data value from the mean is.

Z-score is denoted by z and is given by the formula:

\(z = \frac{x-mean}{SD}\)

Let x = $35.25

Putting the values of mean and SD we get,

\(z = \frac{35.25-27}{5.50}\\z = \frac{8.25}{5.50}\\z =1.5\)

The value of z-score for a price of $35.25 per barrel is 1.5

Hence,

Option 2: 1.5 is the correct answer.

Answer:

<

Step-by-step explanation:

by dividing both sides by the same number, let's say c, then

9514 1404 393

Answer:

Step-by-step explanation:

Using the variables defined in the problem statement, we can write the equations ...

  a + c = 16 . . . . . . . . . . . . number of tickets bought

  10.50a +7.50c = 141 . . . cost of tickets bought

Substituting for c in the second equation, we get ...

  10.50a +7.50(16 -a) = 141

  3.00a +120 = 141 . . . . . . . . simplify

  3a = 21 . . . . . . . . . . . subtract 120

  a = 7 . . . . . . . . divide by 3

  16 -a = c = 9 . . . . . . . find the number of child tickets

They bought 7 adult tickets and 9 child tickets.

_____

If you examine the solution, you see that the number of adult tickets (the higher priced item) is the quotient of the difference between the actual expenditure (141) and the amount that would have been spent on all child tickets (16×7.50=120), and the difference in ticket prices (10.50-7.50=3.00). Knowing this, you can often work problems of this kind in your head.