Avery predicts that the number of horses, HHH, on her farm ttt years from now will be modeled by the function H(t)=25(2)^tH(t)=25(2) t H, left parenthesis, t, right parenthesis, equals, 25, left parenthesis, 2, right parenthesis, start superscript, t, end superscript, and that the amount of hay, AAA, in tons, that she produces on her farm ttt years from now will be modeled by the function A(t)=150(1.5)^tA(t)=150(1.5) t A, left parenthesis, t, right parenthesis, equals, 150, left parenthesis, 1, point, 5, right parenthesis, start superscript, t, end superscript. Let FFF be the predicted yearly supply of hay, in tons, available to each horse in Avery's farm ttt years from now. Note that the hay produced on Avery's farm is used exclusively to feed her horses. Write a formula for F(t)F(t)F, left parenthesis, t, right parenthesis in terms of H(t)H(t)H, left parenthesis, t, right parenthesis and A(t)A(t)A, left parenthesis, t, right parenthesis.

We know: The sum of the angles of each quadrilateral is 360°.

Therefore we have equation:

x + 3x + 4x + 2x = 360

10x = 360     |:10

x = 36

The curve is bell shaped, the distribution of data is equal on both sides , that is from mid point called mean.

50% of Data lies on both side of mean.

So,Equation 1.→ Mean - 2 × standard deviation=3.5

or,Equation 2. →Mean + 2 × standard deviation=4.5

x -2 a= 3.5

4 -2 a=3.5

4-3.5=2 a

2 a=0.5

[tex]a=\frac{0.5}{2}=0.25[/tex]

Using equation (2)

→ 4 +2 a=4.5

2 a=4.5-4

2 a=0.5

[tex]a=\frac{0.5}{2}=0.25[/tex]

So, Standard Deviation = 0.25

→Variance =(Standard deviation)²=a²=(0.25)²=0.0625

Option (A)→0.0625

To find the variance of data, calculate the average of the squared differences between each data point and the mean.

To find the variance of the data, we need to calculate the average of the squared differences between each data point and the mean. To do this, follow these steps:

Based on the given options, we don't have enough information to calculate the variance.

Suppose f(x)=6x-2 and g(x)= 2x+4

a.

(f+g) (x)  = 6x - 2 + 2x + 4

(f+g) (x)  = 8x + 2

b.

(f-g) (x) = 6x - 2 -( 2x + 4)

(f-g) (x) = 6x - 2 - 2x - 4

(f-g) (x) = 4x - 6

Final answer:

The combined function (f+g)(x) is 8x + 2, and the function (f-g)(x) is 4x - 6.

Explanation:

To find the combined functions (f+g)(x) and (f-g)(x) for the given functions f(x)=6x-2 and g(x)=2x+4, we carry out the operations as follows:

Function (f+g)(x)

(f+g)(x) = f(x) + g(x) = (6x - 2) + (2x + 4).

Combine like terms:

(f+g)(x) = 6x + 2x - 2 + 4.

(f+g)(x) = 8x + 2.

Function (f-g)(x)

(f-g)(x) = f(x) - g(x) = (6x - 2) - (2x + 4).

Combine like terms and distribute the negative sign:

(f-g)(x) = 6x - 2x - 2 - 4.

(f-g)(x) = 4x - 6.

The order from greatest to least is 56.011, 56.10, 56.01.

To calculate the number of years it would take for $1200 to earn simple interest of $324 at an annual interest rate of 6%, we use the simple interest formula. Substituting these values into the formula and solving for time, we find that it would take 4.5 years to earn the aforementioned interest.

The subject of this problem revolves around the concept of simple interest, a foundational topic in financial mathematics. To find the number of years it will take for $1200 to earn a simple interest of $324 at an annual interest rate of 6%, we need to use the simple interest formula: I = PRT, where I is interest, P is principal amount (initial investment), R is rate of interest per year, and T is time in years.

In this example, the interest (I) is $324, the principal (P) is $1200, and the annual interest rate (R) is 6% or 0.06 in decimal form.

Substitute these values into the formula to solve for T (the number of years):

I = PRT

324 = 1200 * 0.06 * T

To solve for T, divide 324 by the product of 1200 and 0.06. Doing this calculation gives you:

T = 324 / (1200 * 0.06) = 4.5 years

Therefore, "it will take 4.5 years to earn $324 of simple interest on an initial deposit of $1200 at an annual interest rate of 6%".

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For this case we have:

By properties of the radicals [tex]\sqrt {a} = a ^{\frac {1} {2}}[/tex]

So:

[tex](\sqrt {7}) ^ 2 = (7 ^ {\frac {1} {2}}) ^ 2[/tex].

Now, for power properties we have:

[tex](b ^ {\frac {c} {d}}) ^ e = b ^ {\frac {c * e} {d}}[/tex]

Thus, [tex](7 ^ {\frac {1} {2}}) ^ 2 = 7 ^ {\frac {2} {2}} = 7[/tex]

So:

[tex]7 ^ {\frac {1} {2}} = \sqrt {7}[/tex]in its radical form

Answer:

[tex](\sqrt {7}) ^ 2 = (7 ^ {\frac {1} {2}}) ^ 2= 7 ^ {\frac {2} {2}} = 7[/tex] in its simplest form.

[tex]7 ^ {\frac {1} {2}} = \sqrt {7}[/tex]in its radical form

Answer:

in its radical form

explanation:

5(3 - x) - 4(2 - 3x) > 2

15 - 5x - 8 + 12x > 2        distributed 5 and 4 on the left side

              7 + 7x > 2         added like terms (15 and -8) and (-5x and 12x)

            -7           -7

                  7x > -5

                  [tex]\frac{7x}{7} > \frac{-5}{7}[/tex]

                   [tex]x > \frac{-5}{7}[/tex]

Answer:

The measure of angle RAN is 39 degrees.

Step-by-step explanation:

Given:

To Find:

Measure of angle RAN

Calculations:

STEP 1 : We note that angle RAN = angle RAI + angle IAN (by the construction of the angles given in the problem).

So, we need to individually find the angles RAI and IAN in order to find the angle RAN

STEP 2 : Finding angle RAI

Given that AR if the bisector of angle KAI, therefore angle KAR = angle RAI

Also given that angle KAR = 13 degrees.

Therefore, angle RAI = 13 degrees.

STEP 3 : Finding angle IAN

Given that AI is the bisector of angle KAN, therefore angle KAI = angle IAN

Now,

angle KAI = angle KAR + angle RAI

= 13 + 13 degrees (using what we found out in STEP 1)

= 26 degrees

Therefore angle IAN = angle KAI = 26 degrees

STEP 4 : Finding angle RAN

As we noted in STEP 1,

angle RAN = angle RAI + angle IAN

= 13 + 26 degrees (using Steps 2 and 3)

= 39 degrees

Therefore, angle RAN = 39 degrees

NOTE - A hand-drawn diagram has been attached so that it is easier to picture the solution. I hope this helps!

Answer: B) is the right answer→the distance between points a and b is equal to the distance between points b and c.

Step-by-step explanation:

As Kerry drew a number line starting at 0, point a, and ending at 1, point c and halfway between points a and c, he added point b.

.⇒ab=1/2 of ac and bc= 1/2 of ac or b is the mid point of line segment ac.

⇒ ab=bc(∵things which are equal to the same thing are equal to one another....→Euclid's first postulate)

Therefore, option B) the distance between points a and b is equal to the distance between points b and c is correct.

yes rachel is correct.

1 yd=3 ft. 115*3=345 ft

345>327 so rachel is correct.

Hope this helps!

Yes, Rachel is correct.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity.

Given that;

Rachel says that she ran 115 yards.

And, She went farther then Beth who only ran 327 feet.

Since, 1 yards = 3 feet

Then, 115 yards = 115 × 3 feet

                        =345 feet

Now, Rachel ran 345 feet.

And, Beth run 327 feet.

Since, 345 > 327

Hence, Rachel went farther then Beth.

So, Rachel is correct.

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I'm ASSUMING that we're talking about Three Ordered Ordered Pair Solutions.

If so, the answer is (0,−1),(1,2),(2,5).

The solution of equation are,

(0, - 1) ( 1, 2) and (2, 5)

We have to given that,

To find the solution of equation y = 3x - 1

Here, The equation is,

y = 3x - 1

Now, We can put x = 0 in above equation,

y = 3 (0) - 1

y = - 1

Put x = 1;

y = 3 (1) - 1

y = 3 - 1

y = 2

Put x = 2;

y = 3 (2) - 1

y = 6 - 1

y = 5

Thus, The solution of equation are,

(0, - 1) ( 1, 2) and (2, 5)

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-19 < -30. You're welcome!!

The 59th term of the sequence 29, 37, 45 is 493. The sequence is arithmetic with a common difference of 8. Applying the formula for the nth term of an arithmetic sequence, we calculate the 59th term as 493.

Finding the 59th Term of an Arithmetic Sequence

To find the 59th term of the sequence (29, 37, 45), we first need to determine the common difference of the sequence. We do this by subtracting any term from the term that follows it. For example:

37 - 29 = 8
45 - 37 = 8

The common difference is 8.

This sequence is an arithmetic sequence where each term increases by 8 from the previous term. The formula to find the nth term of an arithmetic sequence is:

an = a1 + (n - 1) * d

where:

Plugging in the values for the 59th term:

a59 = 29 + (59 - 1) * 8
a59 = 29 + 58 * 8
a59 = 29 + 464
a59 = 493

Therefore, the 59th term of the sequence is 493.

Answer: The theoretical probability of choosing a tile with letter P =0.18

Step-by-step explanation:

Given word = MISSISSIPPI

Total number of letters in given the word = 11

Number of letter P in given word = 2

Let A be a event of choosing a tile with a letter P then

P(A) =Number of tiles with letter P / Total letters in given word

= 2 /11 = 0.18

The probability of choosing a tile with the letter P from the word 'Mississippi' is 1/11.

The probability of choosing a tile with the letter P can be calculated by determining the ratio of the number of P tiles to the total number of tiles.

In the word 'Mississippi', there is only 1 letter P. The total number of letters in 'Mississippi' is 11. Therefore, the probability of choosing a tile with the letter P is 1/11.

So, the theoretical probability of choosing a tile with the letter P is 1/11.

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Answer: 14

Step-by-step explanation:

The ______ is asking what 140 ÷ 10 is

140 ÷ 10 = 14

[tex]f(x)=4^x-8,\ g(x)=5x+6\\\\(f-g)(x)=f(x)-g(x)=(4^x-8)-(5x+6)=4^x-8-5x-6=4^x-5x-14[/tex]

I really don't know what you are asking for but 280/40 is 7.

Answer:

7

Step-by-step explanation:

Answer:  The required missing number is 10.

Step-by-step explanation:  We are given to find the missing number in the following proportion :

[tex]?:14=15:21.[/tex]

Let the missing number be represented by x.

Then, according to the given information, we have

[tex]x:14=15:21\\\\\Rightarrow \dfrac{x}{14}=\dfrac{15}{21}\\\\\\\Rightarrow \dfrac{x}{14}=\dfrac{5}{7}\\\\\\\Rightarrow x=\dfrac{5}{7}\times14\\\\\Rightarrow x=10.[/tex]

Thus, the required missing number is 10.

c.

is the answer

The answer is C. 9*(5+6)=(9*5)+(9*6)

Answer:

c

Step-by-step explanation:

Mom's view is that she loses 50 dollars, but gains back 17.85 dollars as change from her daughter.

Olivia's view is that she gained 50 dollars from her mom, spent 32.15 dollars, then gave back the 17.85 change to her mom, so she didn't gain any money.

Mom's point of view: -$50 + $17.85 and Mom's point of view: -$50 + $17.85 are the correct answers, but technically, Olivia still owes her mom 32.15 dollars.

From the information given, Olivia paid her mom back $17.85 and still owes her $32.15.

Since Olivia borrows $50 from her mom to buy some art supplies and spends $32.15 on art supplies, then it can be inferred that the amount that she'll give her mom will be:

= $50 - $32.15

= $17.85 change

On the other hand, her mom will still expect her to balance her $32.15. In this case, Olivia paid her mom back $17.85 and still owes her $32.15.

The mom will expect $32.15 from her later whenever she has it.

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To find the unit price of each item you want to divide:

Fresh water:

$1.76 / 16 = $0.11

Spring water:

$2.40 / 20 = $0.12

So the statement that is true is B) Fresh water has a lower unit price of $0.11/ounce.

Hope this Helps!!

This is the result :7(x-6)(x-6)

Let's apply the given values into equation x(y-5), which becomes 2(7-5). Subtract 5 from 7 which is 2, making equation 2*2. Multiply 2's together resulting in 4.

To evaluate this math problem, we can first substitute the given values into the equation. In other words, we would place '2' where we see 'x', and '7' where we see 'y'.

So our equation becomes: 2(7-5)

Then, we resolve the operation inside the parentheses first, as per the order of operations (PEMDAS/BODMAS). So, you subtract 5 from 7, which equals 2.

So our equation now becomes: 2 * 2

Lastly, you just multiply the 2's together. The final result is: 4

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ANSWER

The factory feels 65 bottles in one hour.

EXPLANATION

Total ounces processed in one hour.

[tex]=1,560[/tex]

Total ounces each bottle can take in one hour.

[tex]=24[/tex]

Number of bottles that can be filled in one hour

[tex]=\frac{1,560}{24}[/tex]

[tex]=65[/tex]

Therefore the factory fills 65 bottles in one hour.

To find the total snow fall you would multiply the amount of snow per hour by the number of hours it snows:

Total = 3/4 inch per hour x hours: Total = 3/4h

h = 12 hours:

Total = 3/4(12) = 9 inches total.

Answer:

167

Step-by-step explanation:

I did my math check and got 167 hope its right :)

Pls make me brainliest

We are given: The number of bands in the chicken soup county battles of the bands = 40.

The percentage of the all virus state finals will compete = 15% of the total number of bands given.

We have given 40 number of bands.

Therefore, the bands will compete in the finals = 15% of 40.

15% can be written as 0.15.

Therefore, 15% of 40 = 0.15 × 40 = 6.