James types 50 words per minute. He spends 20 minutes typing his homework. What is the domain of this situation?

Answers

Answer 1

Answer:

You answer is B, from 0 to 20 and including 0 and 20.

Step-by-step explanation:


Related Questions

For one of the meals eaten duringthe field trip to Williamsburg, VA,WHMS will be charged $115.50 foradults to eat and $712.50 forstudents to eat WHMS will leave a10% tip. How much money willWHMS leave for the tip

Answers

The total amount the WHMS would be charged for adults and students to eat is

115.5 + 712.5 = $828

We were told that WHMS will leave a 10% tip. Recall that percentage is expressed in terms of 100. This means that the amount of money that WHMS will leave for the tip​ is

10/100 * 828 = $82.8

WHMS would leave $82.8 for the tip

covert 6\10 into decimal number and then see if it's a repeating or terminating

Answers

We are asked to determine wheater 6/10 in decimal form is repeating or terminating. To do that we need to divide 6 over 10. To do that, we proceed as follows:

We need to find a number that when multiplied by 10 gives 6. That number is 0.6, because:

[tex]0.6\times10=6[/tex]

Therefore 6/10=0.6 Since the numbers after the radix point do not repeat, this is a terminating decimal.

consider the function f(x) = x^1/2 and the function G, shown below. g(x)= f(1/4 • x) = (1/4 •x)^1/2how will the graph of the function g differ from the graph of the function f?

Answers

ANSWER

The graph of function g is the graph of function f stretched horizontally by a factor of 4.

EXPLANATION

Function g(x) is a transformation of function f(x), obtained by multiplying the variable, x, by 1/4. This is described as a horizontal stretch by a factor of 4.

Hence, the graph of function g is the graph of function f stretched horizontally by a factor of 4.

The points (-6, -10) and (23, 6) form a line segment.
Write down the midpoint of the line segment.

Answers

Answer:

(8.5, - 2 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = (- 6, - 10 ) and (x₂, y₂ ) = (23, 6 ) , then

midpoint = ( [tex]\frac{-6+23}{2}[/tex] , [tex]\frac{-10+6}{2}[/tex] ) = ( [tex]\frac{17}{2}[/tex] , [tex]\frac{-4}{2}[/tex] ) = (8.5, - 2 )

Model Real Life You have 3 toy bears. Yohave more yo-yos than toy bears. How mamore yo-yos do you have?

Answers

Solution

Step 1

Let the number of yo-yos than toy bears = x

How come my answer is wrong? It says it’s equal to the correct answer but it’s not the right answer.

Answers

[tex]\begin{gathered} (2.7x^3-5.5x^2-2)-(5.5x^3-7.9x^2+\text{ 2) }\ldots..\text{remove parenthesis } \\ =\text{ 2.7}x^{3\text{ }}-5.5x^2-2-5.5x^3+7.9x^2\text{ -2} \\ =\text{ (2}.7x^{3\text{ }}-5.5x^3)-5.5x^2+7.9x^2-2-2^{} \\ =\text{ }-2.8x^3+2.4x^2-4^{} \end{gathered}[/tex]

A basketball player scored 24 times during one game. she scored a total of 38 ​points, two for each​ two-point shot and one for each free throw. How many​ two-point shots did she ​make? How many free​ throws?

Answers

The number of two-points shots made is 14

The number of free throws made is 10

What is the number of two-points shots and free throws made?

The first step is to formulate a set of linear equations that represent the information in the question:

x + y = 24 equation 1

2x + y = 38  equation 2

Where:

x = number of two-point shots made y = number of free throws made

The linear equations would be solved using the elimination method.

In order to determine the value of x, take the following steps:

Subtract  equation 1 from  equation 2

x = 14

Substitute for x in  equation 1

14 + y = 24

Combine similar terms:

y = 24 - 14

Add similar terms together

y = 10

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Answer:

Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences. Dependent variables are studied under the supposition or demand that they depend, by some law or rule, on the values of other variables.

Step-by-step explanation:

20g of radioactive substance decays by 1/2 of it's original
amount every 30 days. How much is left after 10 days.

Answers

The amount of radioactive after 10 days with the same rate of change of decay will be 16.67 g.

What is the rate of change?

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

Radioactive decays by 1/2 of its original in 30 days.

1/2 of original → 30 days.

Divide both sides by 3

1/6 of original → 10 days

Therefore, in 10 days amount of decays will be,

1/6 of 20 ⇒ 20/6 = 3.33

The amount left = 20 - 3.33 = 16.67.

Hence "The amount of radioactive after 10 days with the same rate of change of decay will be 16.67 g".

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Is P(A and B) ≠ 0? Explain.
A.) No. P(A and B) = 0.

B.) Yes. Even if P(A) = 0 or P(B) = 0, P(A and B) will always be non-zero.

C.) No. Because both P(A) and P(B) are not equal to 0, P(A and B) = 0.

D.) Yes. Because both P(A) and P(B) are not equal to 0, P(A and B) ≠ 0. (b)

Answers

The right option is D as P(A and B) ≠ 0 only for the independent probability events for A and B.

What is an independent event in probability?

Two events say A and B are said to be independent if the probability of the intersection of A and B is equal to the product of their respective probability, But same events are said to be mutually exclusive if the probability of the intersection of A and B is equal to zero(0).

In the given question, P(A and B) ≠ 0 can only be true if A and B are independent event and P(A) and P(B) are not equal to zero such that

P(A and B)=P(A)× P(B)≠ 0.

Hence, we can deduce from the axiom of independent events of probability that because both P(A) and P(B) are not equal to 0, P(A and B) ≠ 0.

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Find the measures of an interior angle and an exterior angle of the indicated regular polygon. Regular 20-gon interior angle exterior angle

Answers

[tex]\begin{gathered} \text{Please one interior angle =}\frac{180(n-2)}{20},\text{ n =20} \\ \text{Interior angle = }\frac{180(20-2)}{20}=\frac{180\times18}{20}=162 \\ \end{gathered}[/tex][tex]\begin{gathered} \text{One exterior angle = }\frac{360}{n} \\ =\frac{360}{20}=\text{ 18} \end{gathered}[/tex]

2 x— =-------7 x+ 10x = ???

Answers

Answer:

x = 4

Explanation:

Given the expression;

2/7 = x/x+10

Cross multiply

2(x+10) = 7x

Expand the bracket

2x + 20 = 7x

Subtract 7x from btoh sides

2x+20-7x = 7x - 7x

2x-7x+20 = 0

-5x + 20 = 0

-5x = -20

Divide both sides by -5;

-5x/-5 = -20/-5

x = 4

hence the value of x is 4

X+87°2x⁰ i have to solve for x it’s a 180 angle

Answers

Answer:

31

Step-by-step explanation:

x + 87 and 2x are linear pair angles.

Sum of linear pair angles is 180,

x + 87 + 2x = 180

x + 2x + 87 = 180

3x + 87 = 180

3x = 180 - 87

3x = 93

x = 93 / 3

x = 31

A survey was given asking whether they watch movies at home from Netflix, Redbox, or a video store.Use the results to determine how many people use Redbox.60 only use Netflix64 only use Redbox24 only use a video store 8 use only a video store or Redbox38 use only Netflix or Redbox 35 use only a video store or Netflix5 use all three24 use none of these

Answers

SOLUTION

We will use a Venn Diagram for this problem.

Let N represent those that use Netflix, R represent those that use Redbox and V represent those that use video store. The Venn Diagram is shown below

From the Venn Diagram above, the number in each part of a circle, represents the information

Now, how many people use Redbox?

The number of those that use Redbox is represented by the circle R, so we add all the numbers in this circle, we have

[tex]n(R)=38+64+5+8=115[/tex]

Hence the answer is 115

Refer to the diagram below to prove that the exterior angle equals the

Answers

To prove that the sum of the remote interior angles and the exterior angle have the same value, we recall 2 things:

1.- the inner angles of a triangle add up 180 degrees

2.- angle 3 and angle 4 are supplementary which means that they add up 180 degrees.

[tex]\begin{gathered} \measuredangle1+\measuredangle2+\measuredangle3=180^{\circ} \\ \measuredangle3+\measuredangle4=180^{\circ} \\ \Rightarrow \\ \measuredangle1+\measuredangle2+\measuredangle3=\measuredangle3+\measuredangle4 \\ \Rightarrow \\ \measuredangle1+\measuredangle2=\measuredangle4 \end{gathered}[/tex]

Answer:

They are linear pair and therefore supplementary.

Triangle sum theorem.

Substitution.

Subtraction property of equality.

Megan's text messaging plan cost $15 for the first 600 messages and 5¢ for each additional text message. If she owes $24.60 for text messaging in the month of October, how many text messages did she send that month

Answers

Megan sent  792 text messages in the month of October .

In the question ,

it is given that

Cost for first 600 messages = $15

additional text message charge = $0.05

Amount owed by Megan for the month of October = $24.60

Let the number of Additional messages be x.

So, according to the question

15 + 0.05x = 24.60

0.05x = 24.60-15

0.05x = 9.6

x = 9.6/0.05

x = 192

number of extra messages = 192

total messages = first 600 messages + extra messages

= 600+192

= 792

Therefore , Megan sent 792 text messages in the month of October .

The given question is incomplete , the complete question is

Megan's text messaging plan cost $15 for the first 600 messages and 5¢ for each additional text message. If she owes $24.60 for text messaging in the month of October, how many text messages did she send that month ?

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The Adventure Club has scheduled a trip to hike a nearby mountain. Since the group started hiking, they gained 456 feet in altitude from their start position. The current altitude is 437 feet, but there is no record of their starting altitude.write a equation to represent this situation Explain what your variable representssolve your equation please someone help me ill give you a star anything please ♡

Answers

Let h be the altitude of the starting position.

Since the group has gained 456 feet from the start position, then the current altitude is:

The table shows a linear relationship between x and y. Drag and drop the options provided into the correct boxes to complete the equation. х 1 0 6 -4 41 у 9 -39 The equation that represents the relationship Is y = -8 -41 ON 9 4 O?

Answers

To calculate the equation first we need to choose two points of the table

P1 (1,1)=(x1,y1)

P2(0,9)=(x2,y2)

then we calculated the slope m

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

substituting the points we have

[tex]m=\frac{9-1}{0-1}=\frac{8}{-1}=-8[/tex]

then we can calculate the equation

[tex](y-y1)=m(x-x1)[/tex][tex](y-1)=-8(x-1)[/tex]

[tex]y-1=-8x+8[/tex]

[tex]y=-8x+8+1[/tex]

the equation is

[tex]y=-8x+9[/tex]

Question 5The table below shows the coordinates of a figure that was transformed.Pre-ImageImageA(5,2)B(6, 1)A'(0,0)B'(1, -1)C'(-1,3)C(4,5)Which is a correct description of the transformation?

Answers

You have the following A, B and C points, which are transformed to the points A', B' and C', jus

When water flows across farmland, some of the soil is washed away, resulting in erosion. Researchers released water
across a test bed at different flow rates and measured the amount of soil washed away. The following table gives the
flow (in liters per second) and the weight (in kilograms) of eroded soil:

Answers

The correlation coefficient between flow rate and amount of eroded soil is:

0.967.

Correlation coefficients

The correlation coefficient is an index that measures correlation between two variables, assuming values between -1 and 1.

If it is positive, the relation is positive, meaning that the variables are direct proportional. If it is negative, the variables are inverse proportional.

If the absolute value of the correlation coefficient is greater than 0.6, the relationship between the variables is strong.

Given a data-set of two points, the correlation coefficient is found inserting points of the data-set into the calculator. In this problem, the points in the data-set are given as follows:

(0.31, 0.82), (0.85, 1.95), (1.26, 2.18), (2.47, 3.01), (3.75, 6.07).

Using a calculator, the coefficient is given as follows:

0.967.

Hence the last option gives the correct coefficient.

Missing information

The complete problem is given by the image at the end of the answer.

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Enter an equation that passes through the point (12, 7) and forms a system of linear equations with no solution when combined with the equation y=−3/4x+8.

Answers

To answer this question, we need to know that two linear equation that does not have solutions must not cross to each other, that is, they do not have a common point. For this case, both lines must be parallel lines. So in the question, we need to find a parallel line to the given line. Two parallel lines have the same slope.

Then, we have that the line must pass through (12, 7), and, because it is parallel to y = -3/4x + 8, and the slope for this line is m = -3/4, then, the line equation is, applying the point-slope form of the line:

[tex]y-y_1=m(x-x_1)[/tex]

And

x1 = 12

y1 = 7

m = -3/4

Then

[tex]y-7=-\frac{3}{4}(x-12)\Rightarrow y-7=-\frac{3}{4}x+\frac{3}{4}\cdot12\Rightarrow y-7=-\frac{3}{4}x+\frac{36}{4}[/tex][tex]y-7=-\frac{3}{4}x+9\Rightarrow y=-\frac{3}{4}x+9+7\Rightarrow y=-\frac{3}{4}x+16[/tex]

Then, the line equation is y = -3/4 x + 16.

We can check this if we use the elimination method as follows:

This is a FALSE result, and we do not have solutions for this system. Therefore, the line equation is y = -3/4 x + 16.

Becky borrowed $580.00 from the bank. The loan had a 13.5% simple
annual interest rate, and she paid off the bill over 18 months. What was
the total amount, including interest, Becky paid for the loan?

Answers

Answer:  $697.45

Work Shown:

P = 580

r = 0.135

t = 18 months = 18/12 = 1.5 years

A = P*(1+r*t)

A = 580*(1+0.135*1.5)

A = 697.45

Explaining the Converse of the Pythagorean TheoremThe converse of the Pythagorean Theorem states that if the three sides of a triangle work for the equation a^2 + b^2 = c^2, then the triangle is a right triangle. To prove this, you can use what’s called a proof by contradiction. That is, you can prove something is true because it cannot be false.Start by assuming a triangle is not a right triangle and the sides work for the equation a^2 + b^2 = c^2. Here is a diagram of the triangle. Keep this diagram window open as you work on the tasks in this section.Now, create a right triangle with legs a and b. Call the hypotenuse n. Here is a diagram of the triangle. Keep this diagram window open as you work on the tasks in this section.questionsPart ASince triangle 2 is a right triangle, write an equation applying the Pythagorean Theorem to the triangle.Part BSince the equations for both triangles have a^2 + b^2, you can think of the two equations for c^2 and n^2 as a system of equations. Substitute what a^2 + b^2 equals in the first equation for a^2 + b^2 in the second equation. After you substitute, what equation do you get?Part CNow, take the square root of both sides of the equation from part B and write the resulting equation.Part DIs there any way for this equation to be true? How?Part EWhat does this show about the relationship between the two triangles?Part FDoes this mean that triangle 1 is a right triangle? Why or why not?

Answers

Part A: Since triangle 2 is a right triangle, write an equation applying the Pythagorean Theorem to the triangle.

Triangle 2 has the following sides: a, b and n

Writing it into an equation will be:

[tex]\text{ a}^2\text{ + b}^2\text{ = n}^2[/tex]

The answer is a² + b² = n²

Part B: Since the equations for both triangles have a^2 + b^2, you can think of the two equations for c^2 and n^2 as a system of equations. Substitute what a^2 + b^2 equals in the first equation for a^2 + b^2 in the second equation. After you substitute, what equation do you get?

Equation 1 (Triangle 1): a² + b² = c²

Equation 2 (Triangle 2): a² + b² = n²

Substitute what a^2 + b^2 equals in the first equation for a^2 + b^2 in the second equation, it will be:

[tex]\text{ a}^2\text{ + b}^2\text{ = n}^2[/tex][tex]\text{ c}^2\text{ = n}^2[/tex]

The answer is c² = n²

Part C : Now, take the square root of both sides of the equation from part B and write the resulting equation.

[tex]\text{ c}^2\text{ = n}^2[/tex][tex]\text{ }\sqrt{c^2}\text{ = }\sqrt{n^2}[/tex][tex]\text{ c = n}[/tex]

The answer is c = n

the points E,F,G and H all lie on the same line segment, in that order, such that ratio of EG:FG:GH is equal to 4:1:5. If EH=10, find EG

Answers

You have that the ratio of EG:FG:GH = 4:1:5.

Moreover, segment EH = 10.

In order to find EG you consider the following ratios:

EG/FG = 4/1

FG/GH = 1/5

Furthermore, EH = EG + FG + GH

Prove the Question according to the theorem of a Circle

Answers

Given -

P,Q,R and S are 4 points on the circle and PQRS is a cyclic quadrilateral

Prove -

[tex]\angle PQR\text{ + }\angle PSR\text{ = 180}[/tex]

Explanation -

[tex]\angle1\text{ = }\angle6\text{ ------\lparen1\rparen \lparen Angles in same segment\rparen}[/tex][tex]\angle5\text{ = }\angle8\text{ ------\lparen2\rparen \lparen Angles in the same segment\rparen}[/tex][tex]\angle2\text{ = }\angle8\text{ ------\lparen3\rparen \lparen Angles in the same segment\rparen}[/tex][tex]\angle7\text{ = }\angle3\text{ -------\lparen4\rparen\lparen Angles in the same segment\rparen}[/tex]

By using angle sum property of quadrilateral

[tex]\angle P\text{ + }\angle Q\text{ + }\angle R\text{ + }\angle S\text{ = 360}[/tex][tex]\angle1\text{ + }\angle2\text{ + }\angle3\text{ + }\angle4\text{ + }\angle5\text{ + }\angle6\text{ + }\angle7\text{ + }\angle8\text{ = 360}[/tex][tex](\angle1+\angle2+\angle7+\angle8)+(\angle3+\angle4+\angle5+\angle6)=360[/tex]

By using equation 1,2,3 and 4

[tex]2(\angle3+\angle4+\angle5+\angle6)\text{ = 360}[/tex][tex]\angle3+\angle4+\angle5+\angle6\text{ = 180}[/tex][tex](\angle3+\angle4)+(\angle5+\angle6)\text{ = 180}[/tex][tex]\angle PQR\text{ + }\angle PSR\text{ = 180}[/tex]

Hence Proved

rewrite 2x+5y=10 in slope intercept form then graph them

Answers

The slope intercept of a line is:

[tex]y=mx+b[/tex]

We re-write the equation given:

[tex]\begin{gathered} 2x+5y=10 \\ 5y=-2x+10 \\ y=\frac{-2x+10}{5} \\ y=\frac{-2x}{5}+\frac{10}{5} \\ y=-\frac{2}{5}x+2 \end{gathered}[/tex]

The graph of this line is shown below:

given A(2, 3), B(8, 7), C(6 1), which will make line AB perpendicular to line CD?D(9, 3)D(4, 4)D(3, 3)D(8, 4)

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

A(2, 3), B(8, 7), C(6 1)

Step 02:

Line AB

Slope formula

m = (y2 - y1) / (x2 - x1)

A (2 , 3) x1 = 2 y1 = 3

B (8 , 7) x2 = 8 y2 = 7

[tex]m\text{ = }\frac{7-3}{8-2}=\frac{4}{6}=\frac{2}{3}[/tex]

Step 03:

Slope of the perpendicular line, m’

m' = -1 / m

[tex]m\text{'}=\text{ }\frac{-1}{m\text{ }}=\text{ }\frac{-1\text{ }}{\frac{2}{3}}\text{ = -}\frac{3}{2}[/tex]

Step 04:

Line CD

m' = (y2 - y1) / (x2 - x1)

C (6 , 1) x1 = 6 y1 = 1

D ( x2, y2) x2 = x2 y2 = y2

[tex]-\frac{3}{2}=\text{ }\frac{y2-1}{x2-6}[/tex][tex]\frac{3}{2}=\frac{1-y2}{6-x2}[/tex]

We must test the numerical values to verify equality,

x2 = 9

y2 = 3

[tex]\frac{3}{2}=\frac{1-9}{6-3}\text{ = }\frac{-8}{3}\text{ }[/tex]

x2 = 4

y2 = 4

[tex]undefined[/tex]

Determine the angle of rotation of the conic section given by: 32x2 +50xy + 7y2 = 100 (round your answer to the nearest tenth of adegree).

Answers

The formula to obtain the angle of rotation is as follows:

[tex]\cot 2\theta=\frac{A-C}{B}[/tex]

Compare the given equation to the general equation of a conic.

[tex]Ax^2+Bxy+Cy^2+Dx+Ey+F=0[/tex]

Thus, the values of A, B, and C are as follows.

[tex]\begin{gathered} A=32 \\ B=50 \\ C=7 \end{gathered}[/tex]

Substitute the values into the equation.

[tex]\begin{gathered} \cot 2\theta=\frac{32-7}{50} \\ \cot 2\theta=\frac{25}{50} \\ \cot 2\theta=\frac{1}{2} \end{gathered}[/tex]

Find the value of the θ.

[tex]\begin{gathered} \frac{1}{\tan 2\theta}=\frac{1}{2} \\ \tan 2\theta=2 \\ 2\theta=\tan ^{-1}(2) \\ 2\theta\approx63.4349 \\ \theta\approx31.7 \end{gathered}[/tex]

Swine Flu is attacking Springfield. The function below determines how many people have swine where t=time in days and S=the number of people in thousands.

Answers

[tex]s(t)=9t-4[/tex]

A.find s(4)

[tex]\begin{gathered} s(4)=9(4)-4 \\ s(4)=36-4 \\ s(4)=32 \end{gathered}[/tex]

B. means that in 4 days there will be 32000 infected people

C. find t to S(t)=23

[tex]\begin{gathered} 23=9t-4 \\ 9t=23+4 \\ t=\frac{27}{9} \\ t=3 \end{gathered}[/tex]

D. means there will be 23,000 infected people after 3 days

E. Graph

to draw the line we need two points which we already have but we will add another to make a table of 3 values the new value is t=1

[tex]\begin{gathered} s(1)=9(1)-4 \\ s(1)=5 \end{gathered}[/tex]

table

graph

what is the volume of a cube with sides 3 cm.be sure to include correct units with your answer

Answers

Answer:

27 cubic feet

Explanation:

The volume of a cube with side length L is given by

[tex]V=L^3[/tex]

Now in our case, L = 3 ft; therefore, the volume is

[tex]V=3^3[/tex]

which simplifies to give

[tex]\boxed{V=27\text{ ft}^3.}[/tex]

which is our answer!

Hence, the volume of the cube with the side length of 3 cm is 27 cubic cm.

10. If you invest $2000 at 6% compounded monthly, how long will it take the account to double in
value?

Answers

If I invest $2000 at 6% interest compounded monthly, it will take 11.58 years by the account to double in value.

What is compound interest?

The practice of adding interest to the principal amount of a loan or deposit is known as compound interest, sometimes known as interest on principal and interest. It happens when interest is reinvested, added to the lent capital rather than paid out, or required to be paid by the borrower, resulting in interest being created the next period on the principal amount plus any accrued interest. Compound interest is a prominent concept in finance and economics.

The initial investment of $2000 at 6% compounded monthly.

Since, the interest rate of 6% is compounding monthly, then the effective annual interest rate will be

= (1+)−1i = (1+rm)m−1

Here, r = interest rate in decimals

= (1+0.0612)12−1i = (1+0.0612)12−1

= 0.061678i = 0.061678

= ×100 = 6.1678%

Now, we are using Rule 72 to calculate the doubling time

Time to double the initial amount = 72 /effective annual interest rate

Time to double the initial amount = 11.58 years

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The patient has a bone density of 1200mg/cm^3 what is the mass of 39.5cm^3 sample plot the graph f on the graphf(x)=|1/2x-2| in a dna double helix, adenine pairs with and guanine pairs with . a. cytosine... thymine b. uracil... cytosine c. guanine... adenine d. thymine... cytosine during 2021, raines umbrella corporation had sales of $820,000. cost of goods sold, administrative and selling expenses, and depreciation expenses were $610,000, $85,000, and $115,000, respectively. in addition, the company had an interest expense of $54,000 and a tax rate of 21 percent. (ignore any tax loss carryforward provisions and assume that interest is fully deductible.) a. what is the company's net income for 2021? (a negative answer should be indicated by a minus sign. do not round intermediate calculations.) b. what is its operating cash flow? (do not round intermediate calculations.) Please explain how you got your answer. Question 1In the last sentences of paragraph two, Jefferson indicates the king's purpose for his decisions andactions in regard to the colonies. Which option BEST captures Jefferson's description of the king's purpose? A sphere has a radius that is 2.94 centimeters long. Find the volume of the sphere. Round to the nearest tenth. Question 1 (1 point) Which muscles are located in the walls of the heart?Question 1 options:skeletalcardiacsmoothconcentricQuestion 2 (1 point) Which type of contraction involves muscles shortening as they strengthen?Question 2 options:concentriceccentricisometricsmoothQuestion 3 (1 point) What is the act of muscles tightening and shrinking?Question 3 options:eccentricisometriccontractionelongationQuestion 4 (1 point) Which type of contraction involves muscles lengthening as they strengthen?Question 4 options:concentriceccentricisometricshorteningQuestion 5 (1 point) Which type of contraction involves holding muscles still in a particular position?Question 5 options:concentriceccentricisometricshorteningQuestion 6 (1 point) Which of the body's systems controls growth and development?Question 6 options:endocrinenervousskeletalmuscularQuestion 7 (1 point) Which field is involved in the study of the muscles and how the body uses them to exercise?Question 7 options:biologyphysiologyanatomychemistryQuestion 8 (1 point) What is a group of cells that uses chemicals to recycle elements in the blood?Question 8 options:muscleglandhormonemetabolismQuestion 9 (1 point) What chemicals do the glands produce?Question 9 options:triglyceridesendorphinsestrogenhormonesQuestion 10 (1 point) What process does the body use to turn food into energy?Question 10 options:metabolismdigestive systemstomachendocrine systemif you can help thank you!!! can you help with this question please What are water turbines used for? 4 things yk about matter (in science) WILL GIVE BRANILIEST!! Find the length and width of a rectangle with the following information belowArea = 2x^2 + 3x Perimeter = 6x + 6 I think is the average of the highest point and the lowest one, what's the midline of the graph? 3. What major event contributed to American confrontation with Spain and why? what is a purchase return?multiple choice question.a purchase return is the cash discount given for early payment of an invoice.a purchase return is designed to shorten the payment period between the buyer and the seller.a purchase return refers to merchandise a seller acquires, but then returns to the buyer.a purchase return refers to merchandise a buyer purchases, but then returns to the seller. Standard NCES.7.L.2.2- In spiders, having a hairy body is dominant to a bald body. A homozygous hairy spider is crossed with a bald spider. What are the possible phenotypes of the offspring?Group of answer choices100% hairy; 0% bald50% hairy; 50% bald25% hairy; 75% bald75% hairy; 25% bald Alex waited until the last day to start his open-book exam, and he's running out of time. His grade is very important to him, and his roommate already finished the exam with an A, so Alex gives in to temptation and asks his roommate for answers. But then Alex starts to sweat as he thinks about how cheating will violate his values and change him into the wrong kind of person. Alex is now experiencing: equilibrium assimilation cognitive dissonance accommodationwhich is the correct answer? 8g - 7 = 18 + 3gSOLVE EQUATION PLEASE Tommy paid $8.25 for three pounds of gummy candy.Tommy created a graph from the data on his chart. Is his graph correct? Why or Why not? Find the simple interest. Principal Time in Months Rate 1 $11.800 21% 4 The simple interest is $ (Round to the nearest cent.)