Which model represents 2 . 36 ÷ 4 ?

A. Three groups each have three tens and 4 ones.

B. There are three groups of five tens and 9 ones in each group.

C. There are four groups of three tens and six ones.

D. There are three groups of five tens and nine ones in each group

Which Model Represents 2 . 36 4 ?A. Three Groups Each Have Three Tens And 4 Ones. B. There Are Three

Answers

Answer 1
ITS D. Attached screenshot shows D is correct!

THE ANSWER IS D BECAUSE 2.36 ÷4= 0.59
D IS THE ONLY OPTION THAT REPRESENTS THE .59 (5 columns of tenths + 9 ones= .59)

I CHOSE THE WRONG ANSWER FROM A PREVIOUS POST ON HERE WITH THE SAME QUESTION THAT TOLD ME TO CHOOSE C & LEARNED THE HARD WAY, THAT WAS WRONG. THE ANSWER IS D!
Which Model Represents 2 . 36 4 ?A. Three Groups Each Have Three Tens And 4 Ones. B. There Are Three

Related Questions

ABC Bank requires a 20% down payment on all its home loans. If the house is
priced at $145,000, what is the amount of the down payment required by the
bank?
A. $18,000
B. $290,000
• C. $29,000
D. $14,500

Answers

Answer:

c. $29,000

Step-by-step explanation:

since 20% of 145,000 = 29,000

to calculate use

(20/100) * 145,000

or

(y/100) * x

y = the precentage

x = the price of the house

therefore your answer is c. $29,000

hope this helps:)

please help to answer with working.​

Answers

Answer:

When r=0.2, m=0.016g

When m=0.25, r=0.5cm

When r=0.7, m=0.686g

When m=11.664, r=1.8cm

Step-by-step explanation:

General outline of steps for proportionality problems:

Identify the type or proportionality.Find the proportionality constant using a known input/output pair.Use the proportionality equation to find other unknowns.

Background on proportionality relationships

There are two main types of proportionality, "direct" and "inverse", and then there are modifications that can be made to them.  Several examples are listed below:

Direct proportionality examples

y is directly proportional to x:  [tex]y=kx[/tex]y is directly proportional to the square of x:  [tex]y=kx^2[/tex]y is directly proportional to the cube of x:  [tex]y=kx^3[/tex]

Inverse proportionality examples

y is inversely proportional to x:  [tex]y=\dfrac{k}{x}[/tex]y is inversely proportional to the square of x:  [tex]y=\dfrac{k}{x^2}[/tex]

In each case, irregardless of which type, the two quantities are related with some extra letter "k", called the proportionality constant.  Either way, the proportionality constant "k" is always in the numerator, and the quantity is either multiplied to or divided from the proportionality constant "k".

Notice that for direct proportionality, in each case, the equation always ends up as "k times" the quantity.

On the other hand, notice that for inverse proportionality, in each case, the equation always ends up as "k divided by" the quantity.

Step 1.  Identify the type or proportionality (Setting up our proportionality equation)

The problem says "... the mass, m g, of a sphere is directly proportional to the cube of its radius, r cm...", so our equation will look like [tex]m=kr^3[/tex].

Step 2.  Finding the proportionality constant

To find the proportionality constant for our situation, one must know a full input/output pair.  Notice that in the 4th column, [tex]r=1.5[/tex] and [tex]m=6.75[/tex].

Substituting these values into our equation, we can find "k".

[tex](6.75)=k(1.5)^3[/tex]

[tex]6.75=k*3.375[/tex]

[tex]\dfrac{6.75}{3.375}= \dfrac{k*3.375}{3.375}[/tex]

[tex]2=k[/tex]

So, the proportionality constant for this situation is 2, and our equation for this situation becomes: [tex]m=2r^3[/tex]

Step 3. Finding the other inputs/outputs

Now that we know the proportionality constant for this situation, if we have either the input OR the output, we can solve for the other unknown.

r=0.2

[tex]m=2r^3[/tex]

[tex]m=2(0.2)^3[/tex]

[tex]m=2(0.008)[/tex]

[tex]m=0.016[/tex]

Recall the the question said that the mass, m, was measured in grams, and the radius, r, was measured in centimeters.  So, if the radius is 0.2cm, then the mass of the sphere would be 0.016g.

m=0.25

[tex]m=2r^3[/tex]

[tex](0.25)=2r^3[/tex]

[tex]\dfrac{0.25}{2}=\dfrac{2r^3}{2}[/tex]

[tex]0.125=r^3[/tex]

[tex]\sqrt[3]{0.125} = \sqrt[3]{r^3}[/tex]

[tex]0.5=r[/tex]

So, if the mass of the sphere were 0.25g, the radius of the sphere would be 0.5cm.

r=0.7

[tex]m=2r^3[/tex]

[tex]m=2(0.7)^3[/tex]

[tex]m=2(0.343)[/tex]

[tex]m=0.686[/tex]

So, if the radius is 0.7cm, then the mass of the sphere would be 0.686g.

m=11.664

[tex]m=2r^3[/tex]

[tex](11.664)=2r^3[/tex]

[tex]\dfrac{11.664}{2}=\dfrac{2r^3}{2}[/tex]

[tex]5.832=r^3[/tex]

[tex]\sqrt[3]{5.832} = \sqrt[3]{r^3}[/tex]

[tex]1.8=r[/tex]

So, if the mass of the sphere were 11.664g, the radius of the sphere would be 1.8cm.

A triangle has two sides of lenghts 8 and 10. what value could the length of the third sird side be?​

Answers

Answer:

Step-by-step explanation:

sum of any two sides > third side

difference of any two sides < third side.

8+10=18

10-8=2

2<third side <18

Use the graph of the function to find its domain and range. Write the domain and range in interval notation

Answers

Answer:

Step-by-step explanation:

the model of an airplane has a wingspan of 20 inches. the model has a scale of 1 inch = 4 feet. what is the wingspan of the actual airplane? show your example

Answers

The wingspan of the actual aeroplane is 80 feet.

Given, that the model of an aeroplane has a wingspan of 20 inches and the scale factor is 1 inch = 4 feet.

We need to find what is the wingspan of the actual aeroplane.

What is a scale factor?

The scale factor is a way to compare figures with commonly described but differing scales or measurements.

The wingspan of the actual aeroplane = The wingspan of the model aeroplane × Scale factor.

⇒The wingspan of the actual aeroplane = 20 × 4 feet = 80 feet.

Therefore, the wingspan of the actual aeroplane is 80 feet.

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What is the range of the function y=3√x+8?
O-∞ O-8 O 0≤y<∞
O 2≤y<∞

Answers

Answer: 0 ≤ y < ∞

Step-by-step explanation:

   First, let us graph the function. See attached.

-> If I graphed the formatting of the square root sign incorrectly, please let me know so I can fix the answer.

  The range of the function is all of the function's output values. In this case, all of the y values.

        0 ≤ y < ∞

Find the reciprocal of the sum of the reciprocals of 1/-5 and -1/6

Answers

Answer:

-1/11

Step-by-step explanation:

A reciprocal means the reverse of a number. So the numerator becomes a one and the number goes in the denominator (for example 2 becomes 1/2). Or vice versa: the one becomes the denominator and the denominator becomes the numerator (for example 1/2 becomes 2/1 which is 2).

The reciprocal of -1/5 is -5.

The reciprocal of -1/6 is -6.

The sum of both reciprocals: -5 + -6 = -11

The reciprocal of the sum -11 is -1/11.

12 times a number is decreased by 10% of the number. Write an expression.

Answers

Answer:

something like below

Step-by-step explanation:

(12n) - (n * 10/100 )

Quadrilateral ABCD is inscribed in this circle. What is the measure of angle C?

Answers

Answer:

[tex]\boxed{\bf \angle \: C = 62^{o} }[/tex]

Step-by-step explanation:

The sum of the opposite angle of cyclic quadrilateral is 180°.

First, lets find x...

[tex]\bf \angle \: B + \angle \: D = {180}^{o} [/tex][tex]\bf (x + 20) + 3x = {180}^{o} [/tex][tex]\bf 4x + 20 = 180[/tex][tex]\bf 4x = 180 - 20[/tex][tex]\boxed{\bf x = {40}^{o}} [/tex]

Now, let's find the measure of angle C....

[tex]\bf \angle \: a + \angle \: C = {180}^{o} [/tex][tex]\bf 2x + 38 + \angle \: C = {180}^{o} [/tex][tex]\bf 2(40) + 38 + \angle \: C = {180}^{o} [/tex][tex]\bf \angle \: C = 180 - 80 - 38[/tex][tex]\boxed{\bf \angle \: C = {62}^{o}}[/tex]

________________________

Find the value of this expression if x = -7.
x² +5
x+1
Enter the correct answer.

Answers

Since x = -7, the equation would look like this:

-7^2 (or 7 squared) + 5 = ?
-7 squared can be solved by multiplying -7 x -7, which would give us positive 49.
49 + 5 = 54
Therefore, x^2 + 5 = 54.

-7 + 1 = -6. This equals negative 6 because when adding a positive number to a negative number, the result always will move to the right on the number line, which is closer to 0 because we started with a negative integer. Therefore, x + 1 = -6.

Your final answer: x^2 + 5 = 54, and x + 1 = -6.

Find the area (in square units) of the region under the graph of the function f on the interval [-1,5].

F(X) = 2x+8

Square units: ?

Answers

Answer:

So generally, when you're trying to find the area under the curve, you want to integrate the function within the bounds in question, which in this case is 3 and 5. As a result, you get 4e^x - x^2/2. Then you want to subtract this when you put 3 in for x from when you put 5 in for x, such as the following:

(4e^5-25/2) - (4e^3 - 9/2)

When you combine like terms, you end up with the following answer:

4e^5 - 4e^3 - 8 square units

However, you can approximate the answer to 505.31 square units

Which of the following are characteristics of the graph of the square root
parent function? Check all that apply.

Answers

Answer:

C.  It is in Quadrant I

D.  It starts at the origin

Step-by-step explanation:

Parent function:  [tex]f(x)=\sqrt{x}[/tex]

Domain: set of all possible input values (x-values)

As the square root of a negative number does not exist in the set of Real Numbers, the domain for the parent function is:

Solution:  x ≥ 0Interval notation:  [0, ∞)

Range: set of all possible output values (y-values)

As the domain of the parent function is x ≥ 0, the range will be:

Solution:  f(x) ≥ 0Interval notation:  [0, ∞)

As the range and domain both begin at zero, the graph of the parent function starts at the origin (0, 0).

Quadrant: a region of the Cartesian plane formed when the x-axis and y-axis intersect each other.

Quadrant I:  (x, y)

Quadrant II:  (-x, y)

Quadrant III: (-x, -y)

Quadrant IV:  (x, -y)

Therefore, as the range and domain of the parent function are positive, the graph is in Quadrant I.

fill in the blanks with the correct form of the verb to have and the palt of the body that is numhered. (2 pls.each)​

Answers

Answer:

Below

Step-by-step explanation:

1. has

2. has

3. have

4. has

5. have

6. has

7. has

8. have

9. have

10. has

11. has

12. has

13. have

14. have

In need of help in algebra, 4 questions help please

Answers

The solution to all the given equation has been determined.

What is an Intercept ?

An intercept is the point at which a straight line intersects the x or y axis.

The equation given are

5x-4y = -20

x+5y = 5

x+4y = 4

x+2y = 6

All the equations are plotted on the graph and the value of the intercept are determined

For Equation 1

The solution is x = 0 , -4 , y = 4 , 0

For Equation 2

The solution is x = 0 ,5 , y=1 ,0

For Equation 3

The solution is x = 0,4 ; y = 1 ,0

For Equation 4

The solution is x =0,6 ; y = 3 ,0

The graph are attached with the answer.

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(-4, 150) find two pair of polar coordinates

Answers

The polar coordinates of (-4, 150°) will be  [tex]\sqrt[2]{5629}\\[/tex]  and 5069.09939523°

What is the coordinate about?

The formula for this conversion will be:

r = [tex]\sqrt{x^2 + y^2}[/tex]

θ = [tex]tan ^-1 (\frac{y}{x} )[/tex]

[tex]r = \sqrt{(4^2) + (150^0)^2} \\\\θ = tan ^-1 (\frac{y}{x} )\\\\\\r = \sqrt[2]{5629} \\\\ = tan ^-1 (\frac{150}{4} )\\[/tex]

= [tex]\frac{75}{2}[/tex]

the inverse of:  [tex]\frac{75}{2}[/tex] is   θ = 5069.09939523°

Therefore:

[tex]r = \sqrt[2]{5629}\\[/tex]

θ = 5069.09939523°

So the polar coordinates of (-4, 150°) will be [tex]\sqrt[2]{5629}\\[/tex]  and 5069.09939523°

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a plane intersects a sphere 5 cm away from the center of the sphere. the cross section is a circle whose diameter is 12cm. determine the radius of the sphere

Answers

Answer:

7.81 cm

Step-by-step explanation:

diameter = 12, 12/2 = 6

(r+5)(r-5) = 6 * 6

r^2 - 25 = 36

r^2 = 61

r = 7.81

radius = 7.81 cm

Answer:

26

Step-by-step explanation:

What’s the answer ?

Answers

Answer:

a ) cylinder

b) triangular pyramid

I need help with number 10 please

Answers

Answer:

Liz

Step-by-step explanation:

if the chart is correct only 3 people spent more than 2 1/2 hours on homework when 9 people spent less than 2 1/2 hours on homework

Which pair represents equivalent ratios?
A.2/3,95
B.5/8,15/21
C.3/12,6/18
D.4/10,12/30

Answers

Answer:

D

Step-by-step explanation:

We can test each pair making each ratio into its simplest form.

For A 2/3 is already in its simplest form and 9/15=3/5. they are not equivalent.

For B, 5/8 is already in its simplest form and 15/21=5/7. they are not equivalent.

For C, 3/12=1/4, and 6/18=1/3. They are not equivalent.

For D, 4/10=2/5, and 12/30=2/5. They are equivalent.

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Let's see which ones are equivalent}\\\huge\textbf{to each other, shall we?}\\\\\\\huge\textbf{We will convert the given fractions to}\\\huge\textbf{decimals or make the fractions on the}\\\huge\textbf{right to easier to solve or comparing it}\\\huge\textbf{to the one on the left.}[/tex]

[tex]\huge\textsf{Option A.}[/tex]

[tex]\mathsf{\dfrac{2}{3}, \dfrac{9}{15}}[/tex]

[tex]\mathsf{\dfrac{2}{3}}\\\\\mathsf{= 2\div3}\\\\\mathsf{= 0.66\overline{6}7}\\\\\\\mathsf{\dfrac{9}{15}}\\\\\mathsf{= \dfrac{9\div3}{15\div3}}\\\\\mathsf{= \dfrac{3}{5}}\\\\\\\\\mathsf{\dfrac{2}{3} \neq \dfrac{9}{15}}[/tex]

[tex]\huge\textsf{Option B.}[/tex]

[tex]\mathsf{\dfrac{5}{8}, \dfrac{15}{21}}[/tex]

[tex]\mathsf{\dfrac{5}{8}}\\\\\mathsf{= 5\div8}\\\\\mathsf{= 0.625}\\\\\\\mathsf{\dfrac{15}{21}}\\\\\mathsf{= \dfrac{15\div3}{21\div3}}\\\\\mathsf{= \dfrac{5}{7}}\\\\\mathsf{\dfrac{5}{8}\neq \dfrac{15}{21}}[/tex]

[tex]\huge\textsf{Option C.}[/tex]

[tex]\mathsf{\dfrac{3}{12}.\dfrac{6}{18}}[/tex]

[tex]\mathsf{\dfrac{3}{12}}\\\\\mathsf{= 3 \div 12}\\\\\mathsf{= 0.25}\\\\\\\\\mathsf{\dfrac{6}{18}}\\\\\\\mathsf{= \dfrac{6\div3}{18\div3}}\\\\\\\mathsf{= \dfrac{2}{6}}\\\\\\\mathsf{= \dfrac{2\div2}{6\div2}}\\\\\\\mathsf{= \dfrac{1}{3}}\\\\\\\mathsf{\dfrac{3}{12}\neq \dfrac{6}{18}}[/tex]

[tex]\huge\textsf{Option D.}[/tex]

[tex]\mathsf{\dfrac{4}{10}, \dfrac{12}{30}}[/tex]

[tex]\mathsf{\dfrac{4}{10}}\\\\\mathsf{= 4\div10}\\\\\mathsf{= 0.40}\\\\\\\mathsf{\dfrac{6}{18}}\\\\\mathsf{= \dfrac{12\div3}{30\div3}}\\\\\mathsf{= \dfrac{4}{10}}\\\\\mathsf{= \dfrac{4}{10}}\\\\\mathsf{= \dfrac{4\div2}{10\div2}}\\\\\mathsf{= \dfrac{2}{5}}\\\\\mathsf{\dfrac{4}{10} = \dfrac{12}{20}}[/tex]

[tex]\huge\text{Thus, your answer should be: \boxed{\mathsf{Option\ D. \dfrac{4}{10}, \dfrac{12}{30}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

3x2+14x=−11 solve for x

Answers

x= -.55

6x+14x=11

20x=-11

x=-11/20

Find the volume of the sphere of 5m

Answers

Answer: 523.8 m^3

Step-by-Step Solution:

Radius (r) = 5 m
Volume of a Sphere (V) = 4/3 πr^3

Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (5)^3
= 4/3 * 22/7 * 125
= 88/21 * 125
= 11000/21
=> 523.8

Volume of the Sphere (V) = 523.8 m^3

Ms. Jerome wants to buy identical boxes of art supplies for her 25
students. If she can spend no more than $375 on art supplies,
what inequality describes the price can she afford for each
individual box of supplies, b?

Answers

The inequality describes the price $375  she can afford for 25

individual box of supplies will be $375 ≥ 25x.

What is inequality?

An inequality is comparison of  two values, showing if one is less than, greater than, or simply not equal to another value.

Let the price of each box is $x.

The inequality describes the price can she afford for each

individual box of supplies will be $375 ≥ 25x.

Therefore inequality is $375 ≥ 25x.

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Find the distance between the points (2, −3) and (−4, −7).

Answers

-------------------------------------------------------------------------------------------------------------

Answer:  [tex]7.21[/tex]

-------------------------------------------------------------------------------------------------------------

Given:  [tex]\textsf{(2, -3) and (-4, -7)}[/tex]

Find: [tex]\textsf{Find the distance between the two points}[/tex]

Solution:  Use the distance formula and the two points that were provided to determine the distance.

Plug in the values

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex][tex]d = \sqrt{(-4-2)^2+(-7-(-3))^2}[/tex]

Simplify and expand

[tex]d = \sqrt{(-6)^2+(-7+3))^2}[/tex][tex]d = \sqrt{(-6)^2+(-4))^2}[/tex][tex]d = \sqrt{36+14}[/tex][tex]d = \sqrt{52}[/tex]

If we are using square root we use the square root of 52 but if we simplify it to a decimal point we would use 7.21

The area of a rectangle is 44m2 , and the length of the rectangle is 3m
less than double the width. Find the dimensions of the rectangle.

Answers

Answer:

width=11/2

length=8

Step-by-step explanation:

44=(2w-3) x w area for a rectangle (44) = the length (2w-3) times the width (w)

44=2w^2 - 3w  distribute

2w^2-3w-44 = 0 subtract 44 from both sides

(w+4)(2w-11) factor

width=11/2

(11/2 x 2) - 3

length = 8

Consider the table that includes the input and output values of a function.



Which best describes the constant difference for the function?

a constant second difference of –6
a constant second difference of 8
a constant third difference of –6
a constant third difference of 8

Answers

The first option is correct and it best describes the constant difference for the function as a constant second difference of –6.

What is a function?

A function f(x) is the relation between a set of inputs resulting and producing the desired output value of y for each input.

From the given information:

x          f(x)           first difference        second difference   third difference

-2         0                    -                              -                              -

-1         -10            (-10-0)/-1--2 = -10           -                             -

0         -12            (-12 - 10)/0 -- 1= -2     (-2-10)/2 = -6              -

1          -12            (-12--12)/1-0 = 0         (0-2)/2 =  -1              (-1+6)/2 = 5/2

2         -16             (-16--12)/2-1 = -2       (-2-0)/2 = -1              (-1+1)/2 = 0

Therefore, we can conclude that the constant difference for the function is a constant second difference of –6.  

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Answer:

A

Step-by-step explanation:

A soccer league has 160 players. Of those players 50% are boys. How many boys are in the soccer league?

Answers

Answer:

80 boys

Step-by-step explanation:

160 total players

50% are boys

50% of 160 is 80

I should have payed more attention but can someone please guide me through this and build me up an answer.

Answers

Answer:

arc QM = 38°

Step-by-step explanation:

the inscribed angle NQM is half the measure of its intercepted arc NM , so

arc NM = 2 × 90° = 180°

the sum of the arcs in a circle = 360° , then

QN + NM + MQ = 360° , that is

142° + 180° + QM = 360°

322° + QM = 360° ( subtract 322° from both sides )

QM = 38°

Point A is at (3, 2.6) and Point B is at (3, 1.4) on a coordinate grid. The distance between the two points is

Answers

Answer:

oma cursos online gratis de chino para aprender a hablar y escribir en este idioma. Aprende chino con cursos de las mejores universidades en edX.

Step-by-step explanation:

Solve the equation on the
interval [0, 2π).
√2 cos x - 1 = 0

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{2} cos x-1=0\\cos x=\frac{1}{\sqrt{2} } =cos (\frac{\pi }{4} ),cos (2\pi -\frac{\pi }{4} )\\cos x=cos(2n\pi +\frac{\pi }{4} ),cos(2n\pi +\frac{7\pi }{4} )\\x=2n\pi +\frac{\pi }{4} ,2n\pi +\frac{7\pi }{4} \\n=0\\x=\frac{\pi }{4} ,\frac{7\pi }{4}[/tex]

Solve for x. Please help me!!

Answers

Answer:

64 degrees

Step-by-step explanation:

90-32=58

180-58-58=64

Answer:

x = 64°

Step-by-step explanation:

supplementary angles is two angles whose sum is 180° (straight line)

90 + 32 = 122°

To find angle A,

A + 122 = 180

subtract 122 from both sides,

A + 122 - 122 = 180 - 122

A = 58°

This is an isosceles triangle, two angles are equal in measure (A and B). These angles lie opposite to the equal sides.

A triangles angles add up to 180°

58° + 58° + x° = 180°

116° + x = 180°

116 - 116 + x = 180 - 116

x = 64°

Other Questions
1. How does the marine biome retain its salinity?O The salt remains when marine water evaporates.O The salt remains when marine water condenses. Which is the best example of a question that could be used to develop a testable hypothesis?O Does altitude affect how food tastes?O What is the best brand of window cleaner?O What is the effect of unfiltered water on plant growth?O Does temperature affect human emotion? what else can affect the number of deaths or amount of damage caused by an earthquake? What is the best example of personally identifiable information. What is the equation of the line perpendicular to 2x - 3y = 13 that passes through the point (-6, 5)?y=x+9y=-3x-4y=-x-13y-x-1 Should states continue to allow ballot initiatives and other forms of direct democracy?. The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price of two products, A and B, over time.The price f(x), in dollars, of product A after x years is represented by the function below:f(x) = 0.69(1.03)xPart A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)Part B: The table below shows the price f(t), in dollars, of product B after t years:t (number of years) 1 2 3 4f(t) (price in dollars) 10,100 10,201 10,303.01 10,406.04Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points) an organism that can make its own food Failure of the mitochondria to generate ATP will most significantly affect the ______ slow oxidative fast glycolytic fast oxidative-glycolytic skeletal muscle fiber type and therefore cause quicker muscle fatigue. the gomez family drove 476 miles in 7 hours. what was their average speed, in miles per hour? 20Trina has joined a cooking club. For their first project, they are supposed to use collaboration to cook a meal. What does this MOST likely mean?OA Trina will create something healthy and delicious.OB. Trina will work with someone else when cooking.OC. Trina will incorporate Ingredients from another culture.OD. Trina will need to cook something with expensive ingredients. Which term describes a candidate who is running for reelection to a position in congress that she already holds?. light a flashes every 5 seconds Light b flashes every 6 seconds light c flashes every 7 seconds work out how long it will take for all of them to flash You rent a car for $29.95. The first 150 miles are free, but each mile thereafter costs 15 cents. You drive it 200 miles. What is the marginal cost of driving the car Read the excerpt from a creative nonfiction assignment.The dog trotted behind me as I hiked through the woods. A dog is a loyal companion, I thought to myself, even when the person it's loyal to is a total stranger. Up ahead, I saw my old friend, Lake Tasika. I looked at the dog. He looked at me, tail waving. I looked at the lake. It looked back at me. "Jump in, it said in cool laps against the bank, though Id never jumped in before. "Why not? I said aloud to the dog. The dog barked his affirmation, though I was no expert on the meaning behind dog barks. I dropped my pack and ran.How does the authors use of parallelism contribute to the mood of the excerpt?A- It creates an eager mood by repeating actions taken and observed by the narrator.B- It creates an annoyed mood by showing how the narrator views the dog as a nuisance.C- It creates a serene mood by emphasizing the solace and joy the lake provides to the narrator.D- It creates a lonely mood by imitating an echo sometimes found near a remote mountain lake. Scientists are trying to find out why bees are dying in large numbers. Which best describes how the scientists will try to solve the problem? A. They will do the same experiments to obtain similar evidence. B. They will only work with scientists who share the same opinions. C. They will observe the same patterns and draw the same conclusions D. They will approach the problem in different ways but share ideas. The graph of which function has a minimum located at (4, 3)?f(x) = one-halfx2 + 4x 11f(x) = 2x2 + 16x 35f(x) = one-halfx2 4x + 5f(x) = 2x2 16x + 35 This square pyramid has a surface area of 16 m2.A square pyramid. The square base has side lengths of 2 meters. The triangular sides have a height of 3 meters.Consider the square pyramid shown. If each dimension is doubled, how does the surface area change?The surface area doubles.The surface area triples.The surface area increases by 4 times.The surface area increases by 8 times. The present value of $100 to be received 10 years from today, assuming an opportunity cost of 9 percent, is Interest expense on the $30,000 loan obtained from the city council on August 1 should be recorded.