A farmer can spend no more than $4,000 on fertilizer and seeds. The fertilizer costs $2 per pound and seeds cost $20 per pound.

To summarize the situation, the farmer writes the inequality:

2f + 20s ≤ 4,000, where f is the number of pounds of fertilizer and s is the number of pounds of seeds.

Which graph's shaded region shows the possible combinations of fertilizer and seeds the farmer can buy?

first plot (0,2) then (-1,5)

Answer:

t = –3.382

Step-by-step explanation:

Claim: FICO credit scores are greater than 675

Thus, x = 675

We are given:

Sample size = n = 50

Sample Mean = u = 719

Sample Standard deviation = s = 92

The formula to find the t-statistic is:

[tex]t=\frac{x-u}{\frac{s}{\sqrt{n} } }[/tex]

Using the above values, we get:

[tex]t=\frac{675-719}{\frac{92}{\sqrt{50} } }\\\\ t=-3.382[/tex]

Thus, the value of test statistic is -3.382. So 3rd option gives the correct answer.

Answer:

t = 3.382

Step-by-step explanation:

gradpoint

729. multiple 9 times 9 then 81 times 9 and you get D

The expression sin x / csc x + cos x / sec x simplifies to sin^2 x + cos^2 x by using the reciprocal identities of the trigonometric functions csc x and sec x.

The expression sin x / csc x + cos x / sec x can be simplified by substituting the reciprocal identities for the trigonometric functions csc x and sec x. The reciprocal of csc x is sin x and the reciprocal of sec x is cos x. Thus, sin x / csc x becomes sin x / (1/sin x) which simplifies to sin^2 x. Similarly, cos x / sec x becomes cos x / (1/cos x) or cos^2 x. Therefore, the simplified form of the expression is sin^2 x + cos^2 x.

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Answer:

Have the same vertex , and be congruent.

Step-by-step explanation:

Answer:Have the same vertex , and be congruent.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Rent, wages and car insurance don't vary much.  Grocery expenses depend upon the particular groceries purchased each time one goes to the grocery store, and are least likely to be steady / constant from week to week.

Answer:

Step-by-step explanation:

[tex]5+(-3)(6x-5)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=5+(-3)(6x)+(-3)(-5)\\\\=5-18x+15\qquad\text{combine like terms}\\\\=-18x+(5+15)\\\\=-18x+20[/tex]

Answer:

none of the above

Step-by-step explanation:

just for people who dont want one

Answer:

The median would be 71

Step-by-step explanation:

The median means middle and 71 is in the middle if you place the numbers in order

Also please drop a brainliest!

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Given

sinΘ = [tex]\frac{3}{5}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

Then the hypotenuse = 5 and one leg of the right triangle is 3

Using Pythagoras' identity to find the second leg (x)

x² + 3² = 5²

x² + 9 = 25 ( subtract 9 from both sides )

x² = 16 ⇒ x = 4

cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{4}{5}[/tex]

Answer:

x = 4.  x = 64, d = 0.60.

Step-by-step explanation:

a. 256 /x = 64

64x = 256

x = 256/64

x = 4.

b.  256/x = 4

4x = 256

x = 256/4

x = 64.

c.  36/d = 60

60d = 36

d = 36/60

d = 0.60.

Answer:

-3/5

Step-by-step explanation:

you can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope of a line when given two points.

we are given both the x and y intercepts, and we can use those in the formula.

the x intercept is (5,0) and the y intercept is (0,3)

i will treat (5,0) as my x1 and y1, and (0,3) as my x2 and y2

[tex]\frac{3-0}{0-5}[/tex] = -3/5

the slope is -3/5

The slope of the line is -3/5 if the line p has an x-intercept of 5 and a y-intercept of 3.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have a line p:

The x-intercept of line p is 5 or (5, 0)

The y-intercept of line p is 3 or (0, 3)

The slope m can be evaluated:

[tex]\rm m =\dfrac{3-0}{0-5}[/tex]

m = -3/5

Thus, the slope of the line is -3/5 if the line p has an x-intercept of 5 and a y-intercept of 3.

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Answer: Obtion B

[tex]P = 1.3e ^ {-0.038t}\\\\P = 2.1e ^ {-0.046t}[/tex]

Step-by-step explanation:

The equation for exponential decay has the following form:

[tex]y = pe ^{-rt}[/tex]

Where

p is the initial population  

r is the rate of decrease

t is time.

In this problem we have to:

The current population of insect A to be 1.3 million and the current population of insect B to be 2.1 million.

So

[tex]p_1 = 1.3[/tex]  in millions

[tex]p_2 = 2.1[/tex]  in millions

We also need the populations of insect to be reduced at a rate of 3.8% and insect to be reduced at a rate of 4.6%.

so:

[tex]r_1 = 0.038\\\\r_2 = 0.046[/tex]

then the exponential decay equation for insect A is:

[tex]P = 1.3e ^ {-0.038t}[/tex]

the exponential decay equation for insect B is:

[tex]P = 2.1e ^ {-0.046t}[/tex]

Finally, the system of equations is:

[tex]P = 1.3e ^ {-0.038t}\\\\P = 2.1e ^ {-0.046t}[/tex]

The answer is the Option B

The domain of a function is the complete set of possible values of the independent variable.

The cosine function is represented by the expression: y=cos(x), where "x" is the independent function, and "y" the dependent function. So the domain comes to be all the values that "x" can take.

The domain of the cosine function is all the real numbers. All this can be verified by looking at its graph (attached)

Answer:

5.4 ft²

Step-by-step explanation:

Since the circle is inscribed in the square then radius r = 2.5

Area of yellow = area of square - area of circle

A = (5 × 5) - (π × 2.5²)

  = 25 - 6.25π ≈ 5.4 ft²

Answer:

Area of the Yellow Region is 5.4 ft²

Step-by-step explanation:

Given:

Length of the side of the square = 5 ft

Diameter of the Circle = Length of the side = 5 ft

⇒ Radius of the circle, r = 5/2 = 2.5 ft

To find: Area of the Yellow region from the figure.

Area of the Yellow Region = Area of the Square - Area of the Circle

                                            = Side × Side - πr²

                                            = 5 × 5 - 3.14 × (2.5)²

                                            = 25 - 3.14 × 6.25

                                            = 25 - 19.625

                                            = 5.375

                                            ≈ 5.4 ft²   (nearest tenth)

Therefore, Area of the Yellow Region is 5.4 ft²

Answer:

40

Step-by-step explanation:

165% * ? = 66

66 / 165%

66 / (165 / 100)

(100 * 66) / 165

6600 / 165 = 40

Answer:

Step-by-step explanation:

so when you post your picture you wanna click the thing that looks like a paper clip and attach a file or picture. or your can copy your photo and paste it in your question if you dont know how to take a picture just screenshot it *depends what kind of computer your using*

Hello there! I answered a few questions like this before so here is my answer from that question:

- Click "Ask your question."

- Type out the question in the field.

- Click the paperclip icon below the answering field.

- Click "add attachments"

- Select the photo you want to use

- Click "Open" and wait for the photo to load.

There you go! I hope this helped. An easier way to do this is to drag your photo straight into the answer field and you can skip the last 4 steps, I am sure this works on mac but not sure if it works on windows. Have a great day! :)

Answer:

false

Step-by-step explanation:

Answer:

A. True

Step-by-step explanation:

Use vertical line test to find our whether the line is the graph of a function or not.

From the photo, we can see that only one output ( value of y) for one input ( value of x)  and all vertical lines intersect a curve at most once then the line represents a function.

Hope it will find you well.

Answer:

x=5 and x=1

Step-by-step explanation:

3 |-3x + 9| = -18

/3 /3

|-3x + 9| = -6

-3x + 9 = -6 -3x + 9 = 6

-9 -9 -9 -9

-3x = -15 -3x = -3

/-3 /-3 /-3 /-3

x = 5 and x = 1

Answer:

No solution

Step-by-step explanation:

Answer:

The answer is option C. rectangle, parallelogram, rhombus

Step-by-step explanation:

The set of quadrilaterals that must have opposite sides that are congruent and parallel are - rectangle, parallelogram, rhombus.

These three quadrilaterals have opposite sides congruent. Kites and trapezoids does not have opposite sides congruent.

The required set of quadrilaterals that satisfy these conditions is a rectangle, parallelogram, and rhombus. Option C is correct.

The set of quadrilaterals that must have opposite sides that are congruent and parallel is option C: rectangle, parallelogram, rhombus.

In a rectangle, opposite sides are congruent and parallel.

In a parallelogram, opposite sides are congruent and parallel.

In a rhombus, opposite sides are congruent and parallel.

Therefore, the set of quadrilaterals that satisfy these conditions is a rectangle, parallelogram, and rhombus. Option C is correct.

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Answer:

B. 1184

Step-by-step explanation:

Answer is B

See photo

Answer:

2600 is the significant number.

Step-by-step explanation:

Given  : 2648.

To find : What is 2648 to two significant figures.

Solution : We have given  2648.

We can see two last digit are 48 that is less than 50.

To the nearest 100 it become 00

So,2600 is the significant number.

Therefore, 2600 is the significant number.

The number 2648 to two significant figures is 2600

From the question, we have the following parameters that can be used in our computation:

Number = 2648

By definition, the number of significant figures are the digits of a number that are meaningful

Using the above as a guide, we have the following:

Number = 2600 to two significant figures

Hence, the number to two significant figures is 2600

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Answer: 14

Step-by-step explanation:

⇒ Michael's age = x −25

⇒ x − 25 + x = 53

⇒ 2x = 53 + 25

⇒ 2x =78

⇒ x =39

Hence, Michael's age

* Hopefully this helps:) Mark me the brainliest:)!!!

~234483279c20~

Answer:

Final answer is $4440.

Step-by-step explanation:

Let amount of money invested in 8% stock = x

Let amount of money invested in 6% stock = y

then total money invested $325.6 gives equation

8% of x + 6% of y = 325.6

0.08x + 0.06y = 325.6

8x + 6y = 32560...(i)

other equation will be x=2y...(ii)

plug (ii) into (i)

8x + 6y = 32560

8(2y) + 6y = 32560

16y+ 6y = 32560

22y = 32560

[tex]y=\frac{32560}{22}[/tex]

y=1480

plug y=1480 into (ii)

x=2y=2(1480)=2960

Then total money invested in stocks = x+y= 1480+2960=4440

Hence final answer is $4440.

Answer:

Step-by-step explanation:

Convert the inequality to the form y > mx + b:

3x + y > -8           subtract 3x from both sides

y > -3x - 8

Put the coordinates of the points to the inequality and check:

for (-3, 0)

0 > -3(-3) - 8 → 0 > 9 - 8 → 0 > 1   FALSE

for (-2, -1)

-1 > -3(-2) - 8 → -1 > 6 - 8 → -1 > -2   TRUE

for (0, -10)

-10 > -3(0) - 8 → -10 > 0 - 8 → -10 > -8  FALSE

for (2, -16)

-16 > -3(2) - 8 → -16 > -6 - 8 → -16 > -14  FALSE

Answer:

Option C will have greatest number of permutations.

Step-by-step explanation:

A.

The number of license plates with 4 letters followed by 3 numbers, where letters and digits cannot be repeated.

We have total 26 letters (A_Z) and the letters can't be repeated. So we have 26 letter options for 1st letter

25 letters options for 2nd letter

24 letter options for 3rd letter

23 letter options for 4th letter.

So total options for 4 letters 26*25*24*23 = 358800

Now, 3 numbers are required. We have total 10 numbers (0-9)

10 number options for 1st number

9 number options for 2nd number

8 number options for 3rd number

Total options for 3 numbers= 10*9*8 = 720

total options for 4 letters and 3 numbers will be: 358800 * 720 = 258,336,000

B.

The number of license plates with 3 letters followed by 4 numbers, where letters and digits cannot be repeated.

We have total 26 letters (A_Z) and the letters can't be repeated. So we have 26 letter options for 1st letter

25 letters options for 2nd letter

24 letter options for 3rd letter

So total options for 3 letters= 26*25*24 = 15600

Now, 4 numbers are required. We have total 10 numbers (0-9)

10 number options for 1st number

9 number options for 2nd number

8 number options for 3rd number

7 number options for 4th number

Total options for 4 numbers = 10*9*8*7 = 5040

total options for 4 letters and 3 numbers will be: 15600 * 5040 = 78,624,000

C. The number of license plates with 4 letters followed by 3 numbers, where letters and digits can be repeated.

Now, the letters and digits can be repeated. So we have 26 options for each 4 letters and 10 options for each 3 numbers

26*26*26*26 *10*10*10 = 456,976 * 10,00 = 456,976,000

total options for 4 letters and 3 numbers will be: 456,976,000

D.

The number of license plates with 3 letters followed by 4 numbers, where letters and digits can be repeated.

Now, the letters and digits can be repeated. So we have 26 options for each 3 letters and 10 options for each 4 numbers

26*26*26 *10*10*10*10 = 17,576 * 10,000 = 175,760,000

total options for 3 letters and 4 numbers will be: 175,760,000

So, Option C will have greatest number of permutations.

Answer:

Step-by-step explanation:

The percent of 64 which that is 16 is 25% because, to find what percent a number y is of a number x, you have to follow the steps: Divide y by x.

Answer:

25%

Step-by-step explanation:

The question aks: What percentage of 64 is 16?

Let that percentage be x,

[tex]\frac{x}{100}[/tex] of 64 = 16

We multiply both sides by 100 then divide by 64 to get:

x = [tex]\frac{1600}{64}[/tex] = 25%

Answer:

288

Step-by-step explanation:

Answer: 4.47 seconds.

Step-by-step explanation:

Hi, the rock will reach the river when the height (h) is 0.

So, replacing in the equation given:

h= -16t2+320

Where t is the time  

0= -16t2+320

Solving for t

-320 = -16t2

-320/-16 =t2

20 = t2

√20 =t

4.47 = t

Assuming that t is the time in seconds, the rock will reach the river after 4.47 seconds.

Feel free to ask for more if needed or if you did not understand something.

Answer:

16

Step-by-step explanation:

h(x) × h(x) = (6 - x)²

(h × h)(10) = (6 - 10)² = (- 4)² = 16

For this case we have by definition, that given two functions, then:

[tex](f * g) (x) = f (x) + g (x)[/tex]

Here, we want to find ([tex](h * h) (x):[/tex]

[tex](h * h) (x) = (6-x) (6-x)\\(h * h) (x) = 36-6x-6x + x ^ 2\\(h * h) (x) = 36-12x + x ^ 2[/tex]

We want to find the value of the function when [tex]x = 10[/tex].

[tex](h * h) (10) = 36-12 (10) + (10) ^ 2\\(h * h) (10) = 36-120 + 100\\(h * h) (x) = 16[/tex]

Answer:

[tex](h * h) (x) = 16[/tex]

Answer:

The total interest paid by Nell in 20 years is $3,724.80

C is correct

Step-by-step explanation:

Nell took out a subsidized student loan of $6000 at a 4.8% APR, compounded  monthly.

First we find total amount in 10 months

[tex]A=6000(1+\frac{0.048}{12})^{10}[/tex]

[tex]A=6244.37[/tex]

Now, He has to pay loan off on 6244.37 for 20 years at 4.8% APR

Loan Formula:

[tex]P=\dfrac{PV\cdot r}{1-(1+r)^{-n}}[/tex]

PV=6244.37

r=0.048/12

n=240

[tex]P=\dfrac{6244.37\times \frac{0.048}{12}}{1-(1+\frac{0.048}{12})^{-240}}[/tex]

[tex]P=40.52[/tex]

Total pay in 20 years = 40.52 x 20 = 9724.80

Total amount took loan = $6000

Interest = 9724.80 - 6000

             = $3,724.80

Hence, The total interest paid by Nell in 20 years is $3,724.80

Answer: $3345.60

Step-by-step explanation:

Apex - Took one for the team on the quiz because I forgot to check the rating on the other answer </3

Answer:

2.11 ft

Step-by-step explanation:

Given in the question,

number of revolution a wheel make = 32

distance that wheel traveled while rotating  = 425ft

Step 1

Find the circumference of the wheel

circumference = total distance covered / number of revolution

                        = 425 / 32

                        = 13.28 ft

Step 2

Formula of circumference  

2πr = 13.28 ft

r  = 13.28/2π

r = 2.11 ft