Which of the following equations fits this graph?

Which Of The Following Equations Fits This Graph?

Answers

Answer 1

A. down

The -4 moves the y-intercept down from the origin to -4

Answer 2

Answer: Option A.

Step-by-step explanation:

The equation of the line in slope-intercept form is:

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

Where the slope is "m" and the intersection of the line with the y-axis is "b".

Given the function f(x) in the form [tex]f(x)=x[/tex], you can identify that:

[tex]m=1\\b=0[/tex]

This means that the line passes through the origin (0,0)

And from the function g(x) in the form [tex]g(x)=x-4[/tex], , you can identify that:

[tex]m=1\\b=-4[/tex]

This means that the line of the function g(x) and the line of the function f(x) have the same slope, but the line of g(x) passes through the point (0,-4)

Therefore, the graph of f(x) must be shifted 4 units down to produce the graph of g(x)


Related Questions


In Hillcrest School, 36% of middle school students are in Grade 6, 31% are in grade 7, and 33% are in grade 8.

If a middle school student is selected randomly, what is the probability that the student is either in grade 6 or in grade 7?

Answers

Answer:

0.67

Step-by-step explanation:

Plz help me with this

Answers

Answer: Observational study

observational studies

Given: p: 3x + 7 = –5 q: 4x + 12 = –4 Which is the contrapositive of p → q?

Answers

Answer:

D :If 4x + 12 ≠ –4, then 3x + 7 ≠ −5.

If 4x + 12 ≠ –4, then 3x + 7 ≠ −5. Then the correct option is D.

What is a contrapositive?

If the statement is: p ⇒ q

Then the Contrapositive statement will be: ~q ⇒ ~p

p: 3x + 7 = –5 q: 4x + 12 = –4

The value of x in both cases is the same. Then the p and q are converses with each other.

If 4x + 12 ≠ –4, then 3x + 7 ≠ −5.

Then the correct option is D.

More about the contrapositive link is given below.

https://brainly.com/question/5306301

#SPJ2

Darren is painting a wooden block as part of his art project. The block is a rectangular prism that is 12 cm long by 9 cm wide by 5 cm high. Describe the rectangles that make up the net for a prism

Answers

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

The rectangles that make up the net for a prism are six rectangles

two rectangles are L by W ----> 12 cm by 9 cm

two rectangles are L by H ----> 12 cm by 5 cm

two rectangles are W by H ---> 9 cm by 5 cm

Final answer:

The rectangular prism net Darren is painting consists of two 12x5 cm rectangles for the top and bottom, two 9x5 cm rectangles for the front and back, and two 12x9 cm rectangles for the sides.

Explanation:

Darren is working on an art project involving painting a wooden block that is in the shape of a rectangular prism. To understand the net for this prism, we need to describe the rectangles that would make it up when the prism is unfolded into a flat shape.

The net of a rectangular prism is made up of six rectangles, each corresponding to a face of the prism. For Darren's block, which has dimensions of 12 cm in length, 9 cm in width, and 5 cm in height, we can determine the rectangles as follows:

When painting, Darren would treat each of these rectangles as separate sections to ensure complete coverage.

Simplify -20b^8 + 2b^8

Answers

Answer:

Step-by-step explanation:

Answer:

-18b^8.

Step-by-step explanation:

To simplify an expression, we combine the elements that are similar (look the same).

So, it we have -20b^8 + 2b^8, we see that there are 2 terms with b^8.  We need to simplify them.

So, we have -20b^8 + 2b^8, that addition leaves -18b^8.

-18b^8 cannot be simplified more.

7.5 cm=__ m

A.0.0075
B.0.075
C.0.75
D.750

Answers

Your answer is B. 0.075 m

The answer is B I think

A man bought a refrigerator at a discount of 12 percent. It's usual price was $900.How much did he pay for the refrigerator

Answers

Multiply by .88, he paid $792

Answer:

$792

Step-by-step explanation:

What is the smallest solution to this equation?​

Answers

Answer:

x = - 6

Step-by-step explanation:

Given

[tex]\frac{2}{3}[/tex] x² = 24 ( multiply both sides by 3 )

2x² = 72 ( divide both sides by 2 )

x² = 36 ( take the square root of both sides )

x = ± [tex]\sqrt{36}[/tex] ← note plus or minus

x = ± 6

solutions are x = - 6, x = + 6

The smallest solution is x = - 6

How do you solve by graphing

Answers

Answer:

See Explanation Below :)

Step-by-step explanation:

To solve a pair linear equations by graphing, you would first need to find the slope and y-intercept of each of the equation and then graph it in a coordinate plane. Then, you would see where the two lines intersect, and the coressponding coordinates for that point will be your solution.

Example:

y = 2x +2

y = x -1

For the first equation we know the slope (m) is 2 becuase y = mx + b, and m is 2. We know that the y intercept (b) is also 2 becuase y = mx + b, and b is 2.

Similarly, for the second equation the slope (m) is 1 and the y-intercept (b) is -1.

When you use this data and plot the two lines, we can see that they intersect on the 3rd quadrant at (-3,-4) which will be your solution. See the attached graph for this example.

Given the volume of Figure A is 512cm ^3and Figure B is 343cm^3, find the ratio of the perimeter from Figure A to Figure B.

Answers

[tex]\bf ~\hspace{5em} \textit{ratio relations of two similar shapes} \\[2em] \begin{array}{ccccllll} &\stackrel{ratio~of~the}{Sides}&\stackrel{ratio~of~the}{Areas}&\stackrel{ratio~of~the}{Volumes}\\ \cline{2-4}&\\ \cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}\\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{Area}}{\sqrt{Area}}=\cfrac{\sqrt[3]{Volume}}{\sqrt[3]{Volume}} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \cfrac{\textit{figure A}}{\textit{figure B}}\qquad \qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{512}}{\sqrt[3]{343}}\qquad \begin{cases} 512=&2^9\\ &2^{3\cdot 3}\\ &(2^3)^3\\ 343=&7^3 \end{cases}\implies \cfrac{s}{s}=\cfrac{\sqrt[3]{(2^3)^3}}{\sqrt[3]{7^3}} \\\\\\ \cfrac{s}{s}=\cfrac{2^3}{7}\implies \cfrac{s}{s}=\cfrac{8}{7}\implies s:s = 8:7\impliedby \textit{ratio of the }\stackrel{sides~and}{perimeters}[/tex]

What is the value of X?

Answers

Answer: x=8

Step-by-step explanation: Since we know that segment AB and BC are the same measure indicated by the black lines running perpendicular to the lines in triangle themselves, we know that angle A and angle C are the same measure. This means we know this equation... Solve this to complete step 1...

69°=(9y-3)°

If you solve for y, you should get 8. This means that y=8. In knowing that a triangle's interior angles add up to 180°, we know that Angle B must be... Solve this equation for step 2...

∠B=180°-(∠A+∠C)

If you solve to find angle B, you should get that ∠B=42°. Knowing this, we can set up another equation similar to that in step 1 (when we found y knowing the angle) to find x... Solve this equation for your third and final step...  

42°=(5x+2)°

If done step 1 through 3 correctly, you should get x to be equal to... and the final answer... x=8

Write the equation of a line in slope intercept form that has a slope of 1/5 and contains (-10,6)

Answers

Answer:

y = [tex]\frac{1}{5}[/tex] x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = [tex]\frac{1}{5}[/tex], hence

y = [tex]\frac{1}{5}[/tex] x + c ← is the partial equation

To find c substitute (- 10, 6) into the partial equation

6 = - 2 + c ⇒ c = 6 + 2 = 8

y = [tex]\frac{1}{5}[/tex] x + 8

The function f(x)=x^2+4.2x+3.6 has an axis of symmetof x=-2-. What is the minimum value of the function

Answers

ANSWER

The minimum value is -0.8

EXPLANATION

The given

[tex]f(x)=x^2+4.2x+3.6[/tex]

The minimum value is the y-value of the vertex (minimum point).

To find the minimum value of the function, we substitute x=-2 into the function to get;

[tex]f( - 2)=( - 2)^2+4.2( - 2)+3.6[/tex]

[tex]f( - 2)=4 - 8.4+3.6 = - 0.8[/tex]

The minimum value is -0.8

PLZ HURRY IT'S URGENT!!
A square tray has an area of 196 square inches. What is the length of one side of the tray? A. 12 inches B. 13 inches C. 14 inches D. 16 inches

Answers

Answer:

C. 14 inches

Step-by-step explanation:

The area of a square is given by

A = s^2

We know the area is 196 in ^2

196 in^2 = s^2

Take the square root of each side

sqrt(196) = sqt (s^2)

14 =s

Each side is 14 inc

Answer:

C.14

Step-by-step explanation:

a=length time width so 14*14=196  

Cassie bought 300 shares of CAB Inc. stock and later sold them for a $500 profit. What type of income did she have?


Select the best answer from the choices provided.
A.
dividend income
B.
stock options
C.
capital gains
D.
equity income

Answers

Answer:

Hi,

The correct answer option is C. capital gain.

Step-by-step explanation:

Divided is the money a company pays to its shareholders every year after calculating the profits. A company can decided to distribute its earnings to the shareholders from the stock owned by the members.This income is called the divided income.When this income is specifically from stock divided, its called equity income.When Cassie sold the shares for a higher profit, she obtained a capital gain.The two main ways investors can get returns from stock are through divided and capital gains.

Best of Luck!

What are the zeros of the polynomial function f(x)=x^3-x^2-12x

Answers

Answer:

{0, 4 and -3}

Step-by-step explanation:

f(x)=x^3-x^2-12x can be factored, starting by taking out the 'x' factor:

f(x)=x^3-x^2-12x = x(x^2 - x - 12), and then by factoring the quadratic:

f(x) = x(x - 4)(x + 3) = 0

Then the zeros are {0, 4 and -3}.

Answer:

The zeros are;

x=-3,x=0, and x=4

Step-by-step explanation:

The given polynomial is

[tex]f(x)=x^3-x^2-12x[/tex]

We equate the function to zero to obtain;

[tex]fx^3-x^2-12x=0[/tex]

We factor the GCF to get;

[tex]x(x^2-x-12)=0[/tex]

We split the quadratic trinomial to get;

[tex]x(x^2-4x+3x-12)=0[/tex]

Factor by grouping

[tex]x(x(x-4)+3(x-4))=0[/tex]

[tex]x(x-4)(x+3)=0[/tex]

The zeros are;

x=-3,x=0, and x=4

How many points are contained on a line

Answers

Answer:

If you are talk about a line segment, it would contain two points.

If your talking about a ray, it would contain 1 point.

If your talking about just the line, it would contain no points.

Step-by-step explanation:

use the elimination method to solve the system of equations.choose the correct ordered pair. -3y=x-5 x+5y=7. ​

Answers

Answer:

B. (2, 1)

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}-3y=x-5&\text{subtract x from both sides}\\x+5y=7\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-x-3y=-5\\x+5y=7\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad2y=2\qquad\text{divide both sides by 2}\\.\qquad\qquad y=1\\\\\text{Put the value of y to the second equation:}\\x+5(1)=7\\x+5=7\qquad\text{subtract 5 from both sides}\\x=2[/tex]

The solution of the system of equations is (2, 1).

What is the elimination method?

The elimination method is a process that uses elimination to reduce the simultaneous equations into one equation with a single variable.

The given system of equations  are;

[tex]\rm -3y=x-5\\\\x+5y=7[/tex]

From equation 1

[tex]\rm -3y=x-5\\\\x = -3y+5[/tex]

Substitute the value of x in the equation 2

[tex]\rm x+5y=7\\\\-3y+5+5y=7\\\\2y =7-5\\\\2y=2\\\\y=\dfrac{2}{2}\\\\y=1[/tex]

Substitute the value of y in the equation 1

[tex]\rm -3y=x-5\\\\-3(1)=x-5\\\\-3=x-5\\\\x=5-3\\\\x=2[/tex]

Hence, the solution of the system of equations is (2, 1).

Learn more about system of equation here;

https://brainly.com/question/11882575

#SPJ2

What is the measure of ∠A, to the nearest degree? 15 POINTS

a) 17°

b) 33°

c) 57°

d) 73°

Answers

Answer:

33 degrees

Step-by-step explanation

I used arcos, ∠A = arccos((a2 + b2 - c2)/2ab)

= 0.5795 rad = 33.203° = 33°12'11"

b, 33 degrees is correct

whats the y-intercept of 5x-3y=4

Answers

Answer:

y = - [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 5x - 3y = 4 into this form

Subtract 5x from both sides

- 3y = - 5x + 4 ( divide all terms by - 3 )

y = [tex]\frac{5}{3}[/tex] x - [tex]\frac{4}{3}[/tex] ← in slope- intercept form

with y- intercept c = - [tex]\frac{4}{3}[/tex]

Method 1: Plunging in 0 for x in the equation and solve for y

5(0) - 3y = 4

0 - 3y = 4

-3y= 4

y = [tex]\frac{-4}{3}[/tex]  <<< y - intercept

Method 2: Converting the equation to slope-intercept form ( y = mx + b) and see what b is (that is the y-intercept). Do do this isolate y

-3y = 4 - 5x

y = [tex]\frac{-4}{3} +\frac{5}{3} x[/tex]

[tex]y = \frac{5}{3} x- \frac{4}{3}[/tex]

b = [tex]\frac{-4}{3}[/tex]  <<< y - intercept

Y- intercept : (0, [tex]\frac{-4}{3}[/tex])

Hope this helped!

Need help ASAP

1) A new truck that sells for $42,000 depreciates 11% each year. write a function that models the value of the truck. Find the value of the truck after 8 years. Round to the nearest dollar.

2) Earl mows lawns one weekend. He earns $15 for each lawn that he mows. He spends $50 on gas and other supplies. What function equation represents Earl's profit from mowing x lawns?

A)f(x)=50x-15
B)f(x)=50x+15
C)f(x)=15x-50
D)f(x)=15+50

3) find the common geometric series.
-2,-4,-8,-16.....



Answers

Answer:

[tex]\boxed{1) V = 40 000(0.89)^{n}, \text{\$15 746; }\text{2) C) f(x) = 15x - 50 ; 3) }a_{n} = -2^{n}}[/tex]

Step-by-step explanation:

1) Depreciation

The formula for the value V of an asset after depreciation by an annual percentage rate is  

V = P(1 - r)ⁿ

where

P = present value

r = annual percentage rate

n = number of years

Data:

V = 40 000

r = 11 % = 0.11

n = 8 yr

Calculations:

(a) Function model

V= 40 000(1 - 0.11)ⁿ = 40 000(0.89)ⁿ

The function model is [tex]\boxed{ V= 40 000(0.89)^{n} }[/tex]

(b) Future value

V = 40 000(0.89)ⁿ = 40 000 × 0.393 659 = $15 746

In eight years, the truck will be worth [tex]\boxed{ \text{\$15 476}}.[/tex]

2) Profit function

Income from 1 lawn = $15

  Income from x lawns =  15x

Less gas and supplies =         -50        

                 Net income = 15x – 50

The function is [tex]\boxed{f(x) = 15x - 50}[/tex].

3) Geometric series

(a) Calculate the common ratio

a₁ = -2

a₂ = -4

a₃ = -8

a₄ = =16

The ratios of consecutive pairs are

a₄/a₃ = -16/(-8)  = 2

a₃/a₂ =   -8/(-4)  = 2

a₂/a₁ =   -4/(-2)  = 2

All adjacent pairs have the same common ratio r = 2.

(b) Write the formula for the series

The formula for the nth term of a geometric series is

aₙ = a₁rⁿ⁻¹

If a₁ = -2, the formula for the series is

aₙ = -2(2)ⁿ⁻¹ = -2ⁿ

The formula for the series is [tex]\boxed{a_{n} = -2^{n}}[/tex].

Which statement about the dilation of these triangles is true?

Answers

Answer:

answer is b

Step-by-step explanation:

The Scale factor is 2.

What is dilation?

A dilation in mathematics is a function f from a metric space M into itself that, for any locations x, y in M, fulfills the identity d=rd, where d is the distance between x and y and r is some positive real number. Such a dilatation is a resemblance to the space in Euclidean space.

Given

in pre -- image sides are 4, 5, 3

in the image, the sides are 4(2), 5(2), 3(2)

The scale factor is 2.

To know more about dilation refer to :

https://brainly.com/question/3457976

#SPJ2

Tom is clearing brush from a large piece of land. The table shows how many acres he cleared over time

Answers

Tom takes 1 day to clear 1 acre.

To find out how many days it takes Tom to clear 1 acre, we can calculate the rate at which he clears brush in acres per day.

Let's use the given information:

[tex]\frac{2}{3}[/tex]​  acre cleared in 2 days,

​ [tex]1\frac{2}{3}[/tex] acres cleared in 5 days,

[tex]2 \frac{1}{3}[/tex]  acres cleared in 7 days.

First, let's find the rate in acres per day for each interval:

For the first interval:

​[tex]\frac{\frac{2}{3} }{2} = \frac{1}{3}[/tex] acre per day.

For the second interval:

[tex]\frac{1\frac{2}{3} }{5} = \frac{5}{3} \times \frac{1}{5} = \frac{1}{3}[/tex]  acre per day.

For the third interval:

[tex]\frac{2\frac{1}{3} }{7} = \frac{7}{3} \times \frac{1}{7} = \frac{1}{3}[/tex] acre per day.

It appears that the rate at which Tom is clearing brush is consistent at

[tex]\frac{1}{3}[/tex]  acre per day.

Therefore, Tom takes 1 day to clear 1 acre.

help ive been trying for hours and i keep getting it wrong. so i will give the person 20 points if you do it

Answers

5- 25

4- 20

2- 10

please give brainliest if correct

In the total number of People attending the Game was 64,000, how many people were supporters of the home team

Answers

Answer:

51200 people

Step-by-step explanation:

Multiply the total number by the corresponding decimal to the percentage desired.

64000*.8=51200

Using the distributive property, which number sentence represents the total area of the rectangle?
A) 4 x 5 = 20 square units
B) (4 x 3) + (4 x 2) = 20 square units
C) (4 x 3) + (3 x 2) = 18 square units
D) (4 x 3) + (4 x 3) = 24 square units

Answers

Final answer:

The correct option that represents the total area of the rectangle using the distributive property is B) (4 x 3) + (4 x 2) = 20 square units.

Explanation:

The correct option that represents the total area of the rectangle using the distributive property is B) (4 x 3) + (4 x 2) = 20 square units.

The distributive property states that when you multiply a number by a sum or difference of numbers, you can multiply each number individually and then add or subtract the products.

In this case, the rectangle has a length of 4 units and a width of 3 units.

So, the area of the rectangle can be found by multiplying the length by the width, which is 4 multiplied by 3. Then, you add the product of the length multiplied by the width, which is 4 multiplied by 2. This gives us a total area of 20 square units.

Help me answer this question please

Answers

Answer:

The answer would be 74.

Step-by-step explanation:

g(-4)=-4(-4)+7

g(-4)=16+7

g(-4)=74

f(23)=3(23)+5

f(23)=74

(fog)(-4)=74

Answer:

The answer is 74.

here's how to solve the equation

g(-4)=-4(-4)+7

g(-4)=16+7

g(-4)=74

f(23)=3(23)+5

f(23)=74

(fog)(-4)=74

        hope this helps

Sarah randomly selected 80 shoppers at a grocery store to taste two different type of greek yogurt. Yogurt brand B was chosen as the favorite by 35 of them. To the nearest percent what is the 95% confidence interval (z*-score 1.96) for the proposition of shoppers who tasted the two types of yogurt and preferred brand B? PLEASE HELP!!!!!

Answers

Answer:

D: 56 and 77

Step-by-step explanation:

Two cyclists left simultaneously from cities A and B heading towards each other at constant rates and met in 5 hours. The rate of the cyclist from A was 3 mph less than the rate of the other cyclist. If the cyclist from B had started moving 30 minutes later than the other cyclist, then the two cyclists would have met 31.8 miles away from A. What is the distance between A and B, in miles?

Answers

Answer:

73.92 miles

Step-by-step explanation:

Formula for calculating distance = speed × time

Rate/speed of cyclist from city A = ( x - 3 ) mph , Time Taken = 5 Hours

Rate/speed of cyclist from city B = x mph

If Cyclist from B had started moving 30 minutes later

Time Taken by cyclist from B = 4.5 Hours

If B had started 30 minutes later, then the two cyclist would have met 31.8 miles from A.

distance covered by cyclist from A = 31.8

Solution:

For city A:

distance = speed × time                                                

31.8  = ( x - 3 ) × 5     ⇒   [tex]\frac{31.8}{5}[/tex] = x - 3

6.36 = x - 3    ⇒   x = 6.36 + 3   ⇒    x = 9.36 mph

For city B:  

distance =  speed × time

              =  9.36 × 4.5

              =  42.12 miles

Distance between A and B = 31.8 + 42.12

                                             = 73.92 miles

                                                                                                                                 

                                                                                                                           

                                                                                                                             

                                                                                                                           

                                                                                                                           

Two coins are flipped. What is the probability that both of the coins land on heads up

Answers

Answer:

0.25, 25%, or 1/4

Step-by-step explanation:

There are two possibilities for each coin: heads or tails. So the chance of getting heads for the first flip is 50%, or 1/2. To find the probability for both, you multiply 1/2*1/2 and get 1/4.

The probability that both of the coins land on heads up when two coins are flipped is 1/4. This can be obtained by obtaining the possible outcomes and using formula for probability.

What is the formula of Probability?

The formula of Probability is,

P= number of favorable outcomes/ total number of outcomes

Calculate the probability for the question:When two coins are flipped the possible outcomes are,

(H,H), (H,T), (T,H), (T,T), that is, the total number of outcome is 4.

The outcome where both of the coins land on heads up is (H,H),

that is, the number of favorable outcome is 1.

Thus the probabilty is, P(both coins heads up)=1/4

Hence the probability that both of the coins land on heads up when two coins are flipped is 1/4.

Learn more about probability here:

brainly.com/question/3144050

#SPJ2

Other Questions
The Patel family looks at a map to plan their family vacation. They plan to travel from Smithville to Jonesville, which are 334inches apart on the map. Then they plan to travel from Jonesville to Clarksville, which are 514inches apart on the map. The scale on the map is 12 inch equals 4 miles. What is the actual distance the Patel family will travel by the time they reach Clarksville? 11.The year end balance sheet of Ultimate Medical Center show total liabilities of $5,000,000, which includes a loan to expand services. Net worth at the balance sheet date was $ 4,000,000. Calculate the debt-to-worth ratio. Using the information above calculate the number the debt to worth ratio assuming the operating revenues exceed operating by 300000 The focus for this parabola is (-1,0)[tex]x=\frac{1}{4} y^2[/tex]A. TrueB. False Look at Diagram.It says,"ST and TU are tangent to Q. What is the value of x?" Brainliest will be givenWhy do lunar and solar eclipses not happen every month?Eclipses only occur during full and new moons.Earth rotates around its axis faster than the moon.The moon and Earth only travel through the penumbras.The moons axis does not always align with Earths shadow. If cosine of x equals 1 over 2, what is sin(x) and tan(x)? Explain your steps in simple complete sentences Find the difference of the complex numbers.(2+81)-(-5-31)O A. -3+111O B. -3 + 51O C. 7+ 51O D. 7+111 Based on what you know what about feelings between the American and Chines communities which of the following from the plot is most likely to occur?A. Moon shadow will excel in an American school settingB. Fater will save enough money to bring Mother and Grandmother over from ChinaC. Robin and Moon shadow are unsure about each other but find friendshipD. Black dog will find Moon shadow and father to seek revenge on their actions What is the volume of the cone with radius 4 ft and height 10 ft? Round to the nearest cubic foot.A) 126 ft3B) 200 ft3C) 251 ft3D) 168 ft3 tudy the images about geologic time.What is a noticeable difference between both eras?The Paleozoic era, not the Mesozoic era, had the first dinosaurs.The first mammals emerged in the Paleozoic era, not the Mesozoic era.The Mesozoic era, not the Paleozoic era, had the first animals with shells.The first flowering plants appeared in the Mesozoic era, not the Paleozoic era. how much money is spent on ocean exploration per year? What effect did the passing of the Embargo Act of 1807 by Jefferson have upon the United States? simplify (-6^1/3)^(-2)= Find the slope of each line.through (-2,7) and (4,1) Joe wants to paint the outside of a wooden box. He needs to find the surface area of the boxin order to buy paint. A net of the box is shown. What is the surface area of the box? Which of these are duties of the SEC? Check all that apply.overseeing the actions of brokers and financial advisersprotecting businesses from consumer corruptionensuring the security and fairness of mutual funds and exchangesbringing suits against businesses that are not following securities lawsregulating prices to ensure fair competition Bob and Dave go to PizzaScoff. Starting with 35 pizzas, Bob eats 6 4/5 pizzas and Dave eats 8 1/3 pizzas. How many are left? Question 1. An isotope has a half-life of 6 hours. If the original sample had a mass of 500 grams, how much of the sample would be left after 30 hours. Be sure to identify the number of 1/2 life that occurred and to explain how you obtained this answer.Question 2.Calculate the percent by mass of water in Copper (II) Fluoride tetra hydrate. You must show all of your work to earn credit. Atomic masses of each element: Cu = 64, F = 19, O = 16, H= 1Question 3. If the percent (mass/mass) for a solute is 16% and the mass of the solution is 400 g, what is the mass of solute in solution? A.6400 grams B. 25 grams C.64 grams D. 0.04 grams Demeters symbol is a spear? What is the proper noun for books