Differentiate the function with respect to x.

Differentiate The Function With Respect To X.

Answers

Answer 1

Differentiation of f(x) is [tex]-8x^{3} sinx^{4}[/tex].

Given,

f(x) = [tex]cos2x^{4}[/tex]

Now, we will differentiate f(x) with respect to x,

[tex]\frac{d}{dx}cos2x^{4} = (\frac{d}{dx}cos2x^{4})(\frac{d}{dx}2x^{4} )[/tex]

              [tex]= (-sin2x^{4})(2*4x^{3})[/tex]

              [tex]= -8x^{3}sin2x^{4}[/tex]

To learn more about differentiation here:

https://brainly.com/question/24898810

#SPJ1


Related Questions

A2 Lesson 3.2 Practice
1. Does the graph shown represent a function for 0 < x < 6? Explain.

Answers

Yes, the graph shown represents a function for 0 < x < 6 because its domain is true about the given interval.

What are the domain and range of the function?

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

The function is given in the represented graph

According to the given graph, we can see the value of the domain of the given function f(x) when the function includes all possible variables of x values of a function.

Here the domain of the given function is  0 < x < 6

Therefore, the graph shown represents a function for 0 < x < 6 because its domain is true about the given interval.

Learn more about the domain and the range here:

brainly.com/question/21027387

#SPJ1

Determine if the line segment YX is tangent to circle Z.

Answers

The segment XY is a tangent to circle Z.

What is tangent to a circle?

Tangent to a circle is the line that touches the circle at only one point. There can be only one tangent at a point to circle. Point of tangency is the point at which tangent meets the circle.

To check the segment YX is tangent to circle z, first we have to check that the triangle formed XYZ is right angle triangle or not.

If the triangle XYZ is a right triangle, then we have

XY² +XZ² = YZ²

3.6² +2.7² = (1.8 +2.7)²

 12.96 +7.29 = 20.25            it's true.

Therefore, the segment XY is a tangent to circle Z.

To know more about the tangent to a circle, click on the link

https://brainly.com/question/11067500

#SPJ13

can y’all help me please

Answers

Answer:

The slope of this line is undefined.

If f(x) = 3x and g(x)=1/x, what is the domain of (gof)(x)?

Answers

For the given functions f(x) = 3x and g(x) = 1/x then domain of

(gof)(x) =1/3x is all the real numbers excluding zero.

As given in the question,

Given functions are as follow:

f(x) = 3x

g(x) = 1/x

Now ,

(gof)(x)

= g(f(x))

Substitute f(x) = 3x in the above function we have,

=g(3x)

Replace the value of x by 3x in the given function g(x) we get,

= 1/ 3x

For x = 0 (gof)(x) =1/3x is undefined.

Domain include all the real numbers except zero.

Therefore, for the given functions f(x) = 3x and g(x) = 1/x then domain of (gof)(x) =1/3x is all the real numbers excluding zero.

Learn more about domain here

brainly.com/question/28135761

#SPJ1

K
Choose the measurement closest to 30 km: 10 mi, 20 mi or 30 mi.
Choose the correct answer below.
20 mi
30 mi
10 Ini
O
O
O 10

Answers

Answer:

20 miles

Step-by-step explanation:

1.6km is equivalent to 1 mile

so 30km / 1.6 = 18.75 miles

therefore 20 miles is the closest to 30km

The length of the segment is _____centimeters

The scale is __cm : __mm.

Answers

Answer:

I'm assuming it's just a conversion of mm into cm?? in that case it will be 2.4 cm

What is 3/4 written in 12 of denominator

Answers

Answer:  The correct answer in 9/12

Step-by-step explanation:

For 3/4, the numerator is 3 and the denominator is 4

To change the denominator to 12, you must multiply by 3 (12/4=3)

3/4 * 3/3

= (3*3)/(4*3)

= 9/12

Add and simplify.
7/12 + 2/15

Answers

Least common multiple of 12 and 15 = 60

7/12 + 2/15 —> 35/60 + 8/60 = 43/60

Simplify: 43/60 can’t be simplified because 43 is a prime number

The adult daily dosage for a certain medicine is 260 mg (milligrams) of medicine for every 40 pounds of body weight. a. At this rate, find the daily dose for a man who weighs 195 pounds. b. If the man is to receive 600 mg of this medicine every 8 hours, is he receiving the proper dosage? a. The daily dose for a man who weighs 195 pounds is (Round to the nearest tenth as needed.) mg.​

Answers

a) Daily dose for a man who weighs 195 pounds is 30 mg.

b)Here 422.5 mg is less than 600mg. Then, He doesn't receive proper dosage.

What is proportional ?

  Any relationship that always has the same ratio is referred to be proportionality. For instance, the average number of apples per tree determines the proportionality between the quantity of apples in a crop and the number of trees in the orchard.

Here , The adult daily dosage for a certain medicine is 260 mg

=> [tex]\frac{40}{260} = \frac{195}{x}[/tex]

=>  x = [tex]\frac{260*195}{40}[/tex]

=> x =1267.5  mg.

a) Daily dose for a man who weighs 195 pounds is 30 mg.

b) Here for 24 hours = 1267.5 then,

=>  8 hours = x

=> x = [tex]\frac{1267.5*8}{24}[/tex]

=> x = 422.5 mg.

Here 422.5 mg is less than 600mg. Then, He does'nt receive proper dosage.

To learn more about proportional

https://brainly.com/question/870035

#SPJ1

2 step equation:12. Amy wants to start taking gymnastics. There is a one-time fee of $35 to sign up, then it costs $85 per month. If Amy saves up $225, how many months of gymnastics can she take?​

Answers

The number of months Amy can take the Gymnastic = 2 months.

Amy wants to start taking gymnastics.

The fee structure of the gymnastics is divided into two parts.

There is a one time fee payment of 35$ and there is a monthly payment that costs 85$ per month.

So the first month fee of the gymnastics = 35 + 85 = 120$

Savings of Amy = 225$

If Amy pays the 1st month fee ,

then the she will be left with the savings  = 225$ - 120$ = 105 $

It means Amy can join the gymnastics for one more month .

Hence the number of months Amy can take the Gymnastic = 2 months .

To know more about months here

https://brainly.com/question/17037070

#SPJ1

A student raises the flag up at a steady speed of 3m/s. The flag is 2kg in mass. What is the average power exerted.

Answers

The average power exerted on the flag of mass 2 kg by the student is 58.8 Watt.

What is power?

Power can defined as the rate at which work is done.

To calculate the average power exerted on the flag, we use the formula below.

Formula:

P = mgv............ Equation 1

Where:

P = Power exertedm = Mass of the flagg = Acceleration due to gravityv = Velocity at which the flag was raised

From the question,

Given:

m = 2 kgv = 3 m/sg = 9.8 m/s²

Substitute these values into equation 1

P = 2×3×9.8P = 58.8 Watt

Hence, the average power exerted is 58.8 Watt.

Learn more about power here: https://brainly.com/question/25864308

#SPJ1

In the fall of 2017, there were 48 thousand more female undergraduate students enrolled at a college than male
undergraduate students. If the total undergraduate enrollment was 414 thousand that fall, find the numbers of female
undergraduate students and male undergraduate students who were enrolled.
The number of female undergraduate students was
thousand.

Answers

Answer: 231 thousand

Step-by-step explanation:

given,

total number of undergraduate students enrolled = 414000

let us take number of total number of male students as, X

then, total number of female students will be X + 48000

now we get,

total number of male students + total number of female students = total number of students enrolled.

X + (X + 48000) = 414000

X + X + 48000 = 414000

2X = 414000 - 48000

X = 366000/2

X = 183000

total number of male students is 183000

total number of female students is

X + 48000

183000 + 48000 = 231000

what is the present value of $2525 per year, at a discount rate of 10 percent, if the first payment is received 9 years from now and the last payment is received 24 years from now?

Answers

The present value of $2525 per year, at a discount rate of 10 percent, if the first payment is received 9 years from now and the last payment is received 24 years from now is; $9215.77

What is the Present Value of Annuity?

An annuity is defined as a fixed amount of cash that is received or paid periodically over a certain period of time. This would mean that the amount in each cash flow of the annuity would be equal and occur for a specific period of time.

The formula for present value is;

PV = P[1 - (1 + r)⁻ⁿ)/r]

where;

PV is present value

P is periodic cash flow

r is interest rate

n is time

We are given the following;

Periodic cash flow (P) = $2525 /Year

Interest rate (r) = 10% /Year = 0.1

Time (n) = 16 Year (from 9 years to 24 years)

Thus;

PV = 2525[1 - (1 + 0.1)⁻¹⁶)/0.1]

PV = $19754.86

This is the present value in 9 years

Thus, the present value in 24 years which is now will be expressed by the formula;

PV = FV/(1 + i)^(t)

where;

PV is present value

FV is future value

i is interest rate

t is time

Thus;

PV = 19754.86/(1 + 0.1)^(8)

PV = $9215.77

Read more about Present Value of Annuity at; https://brainly.com/question/19131462

#SPJ1

Jan works from 30 to 40 hours per week during the summer. She earns $12.00 per hour. Her friend Rachel also has a job. Rachel's pay for t hours is given by the function r(t) = 11t, where 20 ≤ t ≤ 30. Find the domain and range of each function. Compare their hourly wages and the amount they earn per week.


j(t) domain:

≤ t ≤


j(t) range:

≤ j(t) ≤



r(t) domain:

≤ t ≤


r(t) range:

≤ r(t) ≤




select: Jan or Rachel

earns more per hour than

select: Jan or Rachel

. Jan earns from $ (blank)

to (blank) $

per week and Rachel earns from (Blank) $

to (Blank) $

per week.

Answers

Jan earns more than Rachel. The range of what Jan earns is  360 dollars to 480 dollars per week. The range of what Rachel earns is  220 dollars to 330 dollars per week.

How to solve for the Range and the domain of the functions

Jan's pay function is given as /(t) = 12 dollars this is the same as 12 dollars in one hour

the time that she has to work is given a 30 hours to 40 hours.

Hence the domain would be written as

domain : 30 ≤ t ≤ 40

we have to make use of the values of t

f(t) = 12 * 30 = 360

f(t) = 12 * 40 = 480

The range of Jan is going to be

range : 360 ≤ t ≤ 480

b. For Rachel, t is going to vary between 20 ≤ t ≤ 30

domain : 20 ≤ t ≤ 30

r*t = 11t

= 11 x 20 = 220

= 11 x 30 = 330

The range is given as

range: 220 ≤ t ≤ 330

Jan earns more per hour than Rachel

The amount earned is, Jan earns from 360 dollars to 480 dollars per week.

Rachel earns from 220 dollars to 330 dollars per week.

Read more on the range and domain of functions here: https://brainly.com/question/1942755

#SPJ1

For each ordered pair, determine whether it is a solution to the system of equations.
-3x+2y=5
y=8x-4
(x, y)
(0, -4)
(-3,5)
(1,4)
(-7, - 8)
Is it a solution?
Yes
O
O
O
No
O
X
Ś

Answers

An ordered pair which is a solution to the given system of linear equations is: (1, 4).

How to determine the solution?

In order to determine which ordered pairs are valid and true solutions based on the given system of linear equations, we would have to test the given ordered pairs by substituting their values into the linear equations as follows;

For ordered pair (0, -4), we have:

-3x + 2y = 5

-3(0) + 2(-4) = 5

0 - 8 = 5

-8 = 5 (No)

For ordered pair (-3, 5), we have:

-3x + 2y = 5

-3(-3) + 2(5) = 5

9 + 10 = 5

19 = 5 (No)

For ordered pair (1, 4), we have:

-3x + 2y = 5

-3(1) + 2(4) = 5

-3 + 8 = 5

5 = 5 (Yes)

For ordered pair (1, 4), we have:

y = 8x - 4

4 = 8(1) - 4

4 = 4 (Yes).

For ordered pair (-7, -8), we have:

-3x + 2y = 5

-3(-7) + 2(-8) = 5

21 - 16 = 5

5 = 5 (Yes)

For ordered pair (-7, -8), we have:

y = 8x - 4

-8 = 8(-7) - 4

-8 = -58 (No).

Read more on ordered pairs here: brainly.com/question/12179097

#SPJ1

proof that (x-1/x)(x^4/3+x^2/3) = x⅓(x²-1/x²)​

Answers

The given polynomial solved as same as RHS is x^3/3(x^2- 1/x^2)

What is polynomial?

Polynomial is defined as the sum of variable terms in the form of k×x^n, where k is constant and x variable and n is an integer.

According to give data:

we have given a polynomial,

(x-1/x)(x^4/3+x^2/3) = (x^3/3)(x²-1/x²)

Take LHS

⇒  (x-1/x)(x^4/3+x^2/3)

⇒  (x^2-1/x)×(x^4 + x^2/3)

⇒  (x^2-1/x) x^2(x^2+1/3)

⇒  x^2/3x (x^2-1)(x^2+1)

⇒​x^2/3x(x^4-1)                                  ∴(a^2-b^2 = (a+b)(a-b))

multiply numerator and denominator by x

⇒x^3/3 (x^4-1/x^2)

⇒x^3/3(x^2- 1/x^2) = RHS

Hence, given problem has solved.

To know more about polynomial visit:

brainly.com/question/11536910

#SPJ1

Anna makes a round pizza. She wants to put a cheese layer on the pizza. If the
pizza is 11 in in diameter, how many square cm of cheese layer does she need
to put on the pizza?

Answers

The number of square cm of cheese layers that Anna needs to put on the pizza is  30.25π square cm.

What is the area of a circle?

In geometry, the area of a circle is the space occupied by the circle.

To find the area of a circle having radius "r", we can use the formula.

               Area of a circle = π×r².

In the given question, the diameter of the pizza is 11 cm.

so the radius will be = 11/2 = 5.5 cm.

                Area of the pizza = π×r²

                                              = π×(5.5)²

                                              = 30.25π square cm.

Hence, the number of square cm of cheese layers that need to be put on the pizza is  30.25π square cm.

To learn more about the area of a circle, visit

https://brainly.com/question/14068861

#SPJ13

Convert the height of a person who is 5.2 feet tall to centimeters. Include the inches-centimeter conversion
factor. Use the table given to create conversion factors. Show all conversion factors needed.
Round final answer to 2 decimal places if needed. The setup below should look like the typical dimensional
analysis that you learned.

Answers

The height of a person is 5.2ft in centimeter: 158.49cm

What are the Factors?A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

So, the conversion of measurement from the unit feet to centimeters is provided by the feet-to-centimeter calculator.

The letters "ft" and "cm" stand for feet and centimeters, respectively. The centimeter is used in the International System of Units and is regarded as a component of the metric system. The US customary measurement system uses the unit foot.

Approximately 30.48 cm makes up one foot.

1 ft = 30.48 cm

Now, the formula for 5.2 feet to centimeters is as follows:We are aware that 1 foot equals 30.48 centimeters.

Therefore, 5.2 feet equals 5.2 x 30.48 centimeters.

5.2 ft = 158.49 cm.

5.2 feet is therefore equal to 158.49 cm in centimeters.

Hence, the height of a person who is 5.2 feet tall to centimeters is 158.49cm.

To learn more about Factor click on the link

brainly.com/question/25829061

#SPJ1

HELPP!!! Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
A business owner wants to have the front window of her store painted and is considering two artists for the job. Grace has quoted a flat rate of $99 for the job. Eva's quote is $10 per hour, plus $89 to cover the cost of materials. Depending on how long it takes Eva to paint the window, these two could end up charging the same amount. How much would it cost? How long would Eva have to take? You hav Vide​

Answers

Answer:

The cost would be $99 with each artist if the job took Eva 1 hour

Step-by-step explanation:

99=10x+89

subtract 89 from both sides

10=10x

1=x

PLEASE HELP! ALGEBRA 1 HW I WILL GIVE BRAINLYEST FOR ANSWER!!



please answer all questions (a, b, and c)​

Answers

A) 14y + 7c = 60
B) 2 cheese sticks
C) .5 containers of yogurt

Select the correct answer. What is this equation rewritten in logarithmic form? 9x = 3
A. log9 3 = x
B. logx 3 = 9
C. log3 9 = x
D. log3 x = 9

Answers

Answer:

A. [tex]\log_9{3}=x[/tex]

Step-by-step explanation:

[tex]y=e^x\rightarrow\log_e{y}=x[/tex]

Therefore,

[tex]3=9^x\rightarrow\log_9{3}=x[/tex]

Which point could be used to find f(2)?

A

B

C

D

Answers

Point A will represent the input-output values of the function.

What is number line ?

Number line is virtual representation of numbers along with coordinates axis with number equally spaced with equal number of interval.

In the graph of y = f(x),

For every x-value (input value), value of the function is the y-value (output value).

For the input value x = 2,

Output value of the function will be,

y = f(2)

Therefore, point A will represent the input-output values of the function.

Learn more about functions by :

https://brainly.com/question/25638609

#SPJ1

Devontae claimed that the line y=-3/4x forms an angle of about 53.13° with the positive x-axis. Which statement proves his claim correct or incorrect?
a) Correct because arctan(4/-3) = -53.13
b) Correct because arccos(-3/4) = 53.13
c) Incorrect because arctan(-3/4) = -36.87
d) Incorrect because arccos(-3/4) = -138.59

Answers

The statement that proves the claim about the angle is incorrect is that;

c) Incorrect because arctan(-3/4) = -36.87

How to solve Trigonometric Ratios?

The 6 main trigonometric ratios of a right angle triangle are;

Sine θ = length of the opposite leg / length of the hypotenuse

Cosine θ = length of the adjacent leg / length of the hypotenuse

Tangent θ = sine θ/cosine θ = opposite leg / adjacent leg.

cosecant θ = 1 / sine θ = hypotenuse / opposite leg

secant θ = 1 / cosine θ = hypotenuse / adjacent leg

cotangent θ= 1 tangent θ = adjacent leg / opposite leg.

Now, we are told that the angle formed is 53.13°. Since the options are either arctan or arccos, we will use them to verify the angles;

cos 53.13° = 0.6

tan 53.13° = 1.33

They are both positive and it means both x and y values are positive since we are told that it involves the positive x-axis.

Thus, y/x cannot be negative or -3/4 as given.

Read more about Trigonometric Ratios at; https://brainly.com/question/13276558

#SPJ1

what is the answer for -1/5x + 4 < 39

Answers

solution: [tex]x > -175[/tex]

interval notation:  (-175, ∞)

explanation:

[tex]-\frac{1}{5}x + 4 < 39\\[/tex]

Subtract 4 from both sides

[tex]-\frac{1}{5}x +4-4 < 39-4\\[/tex]

Simplify

[tex]-\frac{1}{5}x < 35[/tex]

Multiply both sides by -1 (reverse the inequality)

[tex](-\frac{1}{5}x )(-1) > 35(-1)[/tex]

Simplify

[tex]\frac{1}{5}x > -35\\[/tex]

Multiply both sides by 5

[tex]5[/tex] ·[tex]\frac{1}{5}x > 5(-35)[/tex]

Simplify

[tex]x > -175[/tex]

On a website that sells funny T-shirts, the number of customers has been falling 10% per month. If the site had 14,000 customers this month, then how many should it expect to have 10 months from now?
If necessary, round your answer to the nearest whole number.
customers

Answers

It should expect 4881 customers to have 10 months from now.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

Given that T-shirts, the number of customers has been Falling 10% per month

There are 14,000 customers this month

Now Creating the function :

Let y be the remaining customers and x be the number of months from now

y = (14,000)(1 - 0.1)ˣ

y = (14,000)(0.9)ˣ

Solving :

y = (14,000)(0.9)¹⁰

y = (14,000)(0.34867844)

y = 4881 customers

(nearest whole person)

Hence, it should expect 4881 customers to have 10 months from now.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ1

Answer:

It should expect 4881 customers to have 10 months from now.

Find the value of x. Then find the measure of each labeled angle.
(x - 58)° =
(x-58)

Answers

Answer:

x° = 119°(x-58)° = 61°

Step-by-step explanation:

You want the measures of supplementary angles x° and (x-58)°.

Supplementary angles

Consecutive interior angles where a transversal crosses parallel lines are supplementary.

  x° +(x -58)° = 180°

  2x = 238

  x = 119

  x -58 = 61

The two angles are ...

x° = 119°(x-58)° = 61°

<95141404393>

let o be the point of intersection for the diagnols of quadrilateral abcd prove that abcd could be a trapezoid (that is if it has one sides parallel) is Aaod = Aboc

Answers

From the given proof below, we have been able to show that quadrilateral ABCD is a Trapezoid.

How to identify a Trapezoid?

A trapezoid is also called a trapezium and it is characterized by four straight sides and one set of parallel sides. The parallel sides are referred to as the base, while the non-parallel sides are referred to as the legs.

We are told that;

O is the point of intersection for the diagonals of quadrilateral ABCD;

where;

AO/BO = CO/DO

This can also be expressed as;

AO/CO = BO/DO

Thus, if we create line OE to be parallel to DC which is OE || DC. Then it means that point E lies on BC.

Using the Basic Proportionality Theory, in ΔBDC, we can say that;

BO/OD = BE/EC ............................1

We are also given that:

AO/CO = BO/DO   ..........................2

Thus, from Equations 1 and 2, we have;

AO/CO = BE/EC

Using the converse form of the Basic Proportionality Theorem, we have;

OE || AB

Therefore, AB || OE || DC.

Therefore we can conclude that ABCD is a Trapezoid.

Read more about Trapezoids at; https://brainly.com/question/16725694

#SPJ1

A researcher believes that 8% of pet dogs in Europe are Labradors. If the researcher is right, what is the probability that the proportion of Labradors in a sample of 694 pet dogs would differ from the population proportion by less than 3%? Round your answer to four decimal places.

Answers

The probability that the proportion of Labradors in a sample of 694 pet dogs would differ from the population proportion by less than 3% is 0.9964

How to get the required probability

The probability is calculated using z score, this is used to determine the amount of standard deviations a sample, X is from the mean

The z score is given by the formula

z = (X - μ) / σ

Definition of variables

mean, μ  = p = 8% = 0.08

sample size, n = 694

standard deviation, σ

= √{(p(1 - p)) / n}

= √{(0.08(1 - 0.08)) / 694}

= √{(0.08 * 0.98) / 694}

= 0.0103

The probability

differ from the population proportion by less than 3%

|X - 0.08| < 0.03

X < 0.11 OR X > 0.05

0.05 < X < 0.11

P(z < 0.11) - P(z < 0.05 )

z score for z < 0.05

z = (0.05 - 0.08) / 0.0103

= -2.9126

p value for z < -2.9126 = 0.001792

z score for z < 0.12

z = (0.12 - 0.09) / 0.0102

=  2.9412

p value for z < 2.9412 = 0.9982

The probability required = 0.9982 - 0.0016 = 0.9964 or 99.64%

Learn more about p - values at:

https://brainly.com/question/28940355

#SPJ1

Hunter bought 3 chicken wings for $6.60. How much does each wing cost?

Answers

Answer:

$2.20

Step-by-step explanation:

6.6/3=2.2

answer = $2.20

$6.60/3 as there’s 3 wings = to $6.60

= $2.20

a packet of crisps weighs 32 grams to the nearest gram. a multipack of crisps contains 10 packets. work out the least and the greatest weights of the multipack. you can ignore the weight of the multipack wrapper

Answers

If  a multipack of crisps contains 10 packets. the least and the greatest weights of the multipack is 315, 325.

How to determine the least and greatest weight?

Range = 31.5≤  x < 32.5

Range = 31.5≤  10 < 32.5

Hence,

Lowest and greatest possible for 32 grams

Lowest possible = 31.5 grams

Greatest possible =32.4 grams

Since multipack of crisps contain is 10 packets hence.

Least weight = 31.5 grams × 10

Least weight =315

Greatest weight = 32.5 grams × 10

Greatest weight = 325

Therefore 315 and 325 are the weight.

Learn more about possible weight here: https://brainly.com/question/2416039

#SPJ1

Other Questions
Two-thirds of a number subtracted from nine is seven. Find the number. What characteristic of an epic hero does the excerpt reveal?bravery in the face of dangerwillingness to endure a voyageability to deliver compelling speechestendency to seek supernatural assistanc Select the two text phrases that highlight the features of the Print Layout view from the following passage. You access this view from the View menu. You can preview the document as a printed page. You cannot edit your document in this mode. You can view page boundaries, margins, headers and footers, backgrounds, and images in this layout. This view helps you to navigate quickly through a document and keep track of your location in it. Attach the correct Political PartySupported by merchants and manufacturersHamilton and AdamsSupported by farmers and skilled craftsmenJefferson and MadisonFavored States RightsStrong Federal Government1. Federalists2. Democratic-RepublicansPlace each number with each option that fit Which of the following groups formed the largest percentage of the population of Saint Domingue in 1789? Black slaves Free people of color Mulattoes White plantation owners A new hamster mutant, zip, has a daily free-running rhythm with a period of 8 hours. If you transplanted the fetal SCN from a zip animal into the brain of an adult hamster (and its own SCN lesioned), you would expect the free-running period of this adults rhythm to be Which detail from the text bestexplains why more people arerelocating to the suburbs?A. Since 1970, more Americanshave lived in the suburbs thancentral cities. (Paragraph 1)B. Despite several concertedefforts by city governments tolure residents, suburbanizationcontinues largely unabated.(Paragraph 2)C. Smaller metropolitan areaswith fewer than 500,00 peoplehave also grown, related to animproving economy and jobcreation in small urbancenters. (Paragraph 3)D. This ongoing shift towards thesuburbs has significantenvironmental repercussions.(Paragraph 3) udeep is taking part in an intervention in which he receives text messages reminding him to take his medication. sudeep is most likely taking part in what kind of intervention? Solve the inequality statement:-5 < 15---w >3w 3w< -10 plsssssssshelpppppppppp 1. the following two points are located on a line (-12, 6). and (4,6), find the slope of the line.2. Solve for the value of x : 2/8 = 3/x+2thank you! this assignment is graded on accuracy so please try your hardest!! An investor has $100,000 to invest in three types of bonds: short-term, intermediate, and long term. how much should he invest in each type to satisfy conditions?short-term pay 4% annually, intermediate pays 6% and long term pays 8%. The investor wishes to have a return of $6700 on his investment, with equal amounts invested in intermediate and long term bonds.I know it will be an x+y+z system. I don't know how to set it up. x+y+z=100,000; .04x+.06y+.08z=6700 and ? or is it something else? Write a loop that continually asks the user what pets the user has until the user enters stop, in which case the loop ends. It should acknowledge the user in the following format. For the first pet, it should say You have one cat. Total # of Pets: 1 if they enter cat, and so on.Sample RunWhat pet do you have? lemurWhat pet do you have? parrotWhat pet do you have? catWhat pet do you have? stopSample OutputWhat pet do you have? lemurYou have one lemur. Total # of Pets: 1What pet do you have? parrotYou have one parrot. Total # of Pets: 2What pet do you have? catYou have one cat. Total # of Pets: 3What pet do you have? stop What is the domain of y equals two divided by the quantity x minus three squared all minus one ?All real numbers less than 3 All real numbers except 3 All real numbers greater than 1 All real numbers greater than 3 All real numbers peter taylor, a cfa charterholder and a food industry analyst for a large investment firm, has been invited by sweet pineapple co. to visit the firm's processing plants in hawaii. the standard concerning independence and objectivity recommends that taylor: Find two z values so that the middle 67% of the area is bounded by them. can you think of benefits from exercise? When fossil fuels, such as gasoline, are burned, they create smoke. Smoke is best described as a heterogeneous mixture of solid particles from the burning fuel dispersed in a gas usually air. Smoke can be described more specifically as a suspension.What will most likely happen over time to smoke in the atmosphere?A.The solid particles will spread out and dissolve.b.The particles will eventually come together in a cloud and produce rain.c.Over time, the solid particles will settle on whatever is outside.d.The particles will remain mixed in the air. ii The firefighter slides through the vertical pipe with length h=15m. Its potential energy at the top is 1000J. Sketch a graph showing how the potential energy of the firefighter's weight changes with height. In the same graph, sketch the change in kinetic energy with height.help Why did president washington give this advice about the future of u. S. Foreign policy?.