What is the solution to the equation 1 over the square root of 8 = 4^(m + 2)? A) m = − 15 over 4 B) m = − 11 over 4 C) m = 5 over 4 D) m = 9 over 4

Answers

Answer 1

Answer:

B) m = -11/4

Step-by-step explanation:

What is the solution to the equation 1/sqrt(8) = 4^(m+2)

1 over the square root of 8 = 4^(m + 2)?

A) m = − 15 / 4

B) m = − 11 / 4

C) m = 5 / 4

D) m = 9 / 4

1/sqrt(8) = 4^(m+2)   apply law of exponents

1/2^(3/2) = (2^2)^(2m+4)

2^(-3/2) = (2)^(2m+4)

-3/2 = 2m+4

2m = -11/2

m = -11/4


Related Questions

Are these proportional? 10 books for $4.50; 15 books for $6.00


Answers

Answer:

no

Step-by-step explanation:

5 books are $2.50, mean that 10 books should only be $4.00 not $4.50. Also making the 15 for $6.00 only $5.50. All because 5 books would be $2.50.

Which is a factor pair of 72? 1. 12, 6 2. 14, 5 3. 23, 4. 24, 2

Answers

Answer:

1. 12, 6

Step-by-step explanation:

Your answer is 1. because you need to multiply them together to get the answer. In this case all you do is 12 × 6 = 72

Hope this helps!

If an arrow is shot upward on Mars with a speed of 62 m/s, its height in meters t seconds later is given by y = 62t − 1.86t². (Round your answers to two decimal places.) Estimate the speed when t = 1. Can you please show me the steps to solve this?

Answers

Answer:

Approximately [tex]58.28\; \rm m \cdot s^{-1}[/tex].

Step-by-step explanation:

The velocity of an object is the rate at which its position changes. In other words, the velocity of an object is equal to the first derivative of its position, with respect to time.

Note that the arrow here is launched upwards. (Assume that the effect of wind on Mars is negligible.) There would be motion in the horizontal direction. The horizontal position of this arrow will stays the same. On the other hand, the vertical position of this arrow is the same as its height: [tex]y = 62\, t - 1.86\, t^2[/tex].

Apply the power rule to find the first derivative of this [tex]y[/tex] with respect to time [tex]t[/tex].

By the power rule:

the first derivative of [tex]t[/tex] (same as the first derivative of [tex]t^2[/tex] (same as [tex]t[/tex] to the second power) with respect to

Therefore:

[tex]\begin{aligned}\frac{dy}{d t} &= \frac{d}{d t}\left[62 \, t - 1.86\, t^2\right] \\ &= 62\,\left(\frac{d}{d t}\left[t\right]\right) - 1.86\, \left(\frac{d}{d t}\left[t^2\right]\right) \\ &= 62 \times 1 - 1.86\times\left(2\, t) = 62 - 3.72\, t\end{aligned}[/tex].

In other words, the (vertical) velocity of this arrow at time [tex]t[/tex] would be [tex](62 - 3.72\, t)[/tex] meters per second.

Evaluate this expression for [tex]t = 1[/tex] to find the (vertical) velocity of this arrow at that moment: [tex]62 - 3.72 \times 1 =58.28[/tex].

Answer:

58.28 m/s

Step-by-step explanation:

y = 62t - 1.86t²

Speed, S = dy/dt = 62 - 2(1.86)t

S = 62 - 3.72t

When t = 1

S = 62 - 3.72 = 58.28 m/s

Alonso went to the market with \$55$55dollar sign, 55 to buy eggs and sugar. He knows he needs a package of 121212 eggs that costs \$2.75$2.75dollar sign, 2, point, 75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money. The sugar he likes comes in boxes that each cost \$11.50$11.50dollar sign, 11, point, 50.

Answers

Answer:

2.75+11.50S[tex]\leq[/tex]55

4

Step-by-step explanation:

The Total amount of money Alonso went to the market with is: = $55

Items to be bought includes:

eggssugar

Alonso knows that:

A pack of 12 eggs costs = $2.75 Now, he wants to use the remaining amount to purchase as much sugar as possible

Requirement for his taste for sugar:

a box of sugar he likes = $11.50

From this information, the objective would be to determine the number of sugar he can purchase with the money left after he has already bought the eggs.

To start with, the amount of money left after buying the eggs is:

= $55 - $2.75

= $52.25

Now, if a box of sugar he likes cost = $11.50

Then he will be able to purchase (x( bost of sugar with = $52.50

Now, to determine the number of boxes of sugar he can purchase, we have:

1 box of sugar = $11.50

x(box) of sugar = $52.25

[tex]\mathbf{x (box) of sugar = \dfrac{\$52.25 \times 1 box of sugar }{\$11.50}}[/tex]

x = 4.5 box of sugar

Therefore, after buying a pack of 12 eggs for = $2.75, Alonso will be able to buy [tex]\mathbf{ 4\dfrac{1}{2}}[/tex]  or 4.5 boxes of sugar.

Learn more about word problems here:

https://brainly.com/question/20252231?referrer=searchResults

Help me again please​

Answers

Answer:

answer C (0,-9)

Step-by-step explanation:

the line passes through (0,-9)

the adult human brain represents 2% of total body weight. write this percentage as a decimal.

Answers

Answer:

               2% = 0.02

Step-by-step explanation:

[tex]2\%=2\cdot\frac1{100}=\frac2{100}=0.02[/tex]

Answer:

2% as a decimal is 0.02

Step-by-step explanation:

simplify 3^2/3 x 3^4/5

Answers

Answer: [tex]243/5[/tex]

[tex]3^2/3(3^4)/5\\=9/3(3^4)/5\\=3(3^4)/5\\=(3)(81)/5\\=243/5[/tex]

Answer
= 243/5


Explanation
= 3^2/3*3^4/5
= 9/3*81/5
Thus 3 divides 81 giving 27
So it becomes
= 9/1*27/5
9*27=243
Final answer 243/5

help w−3/4=8 a) 5 b) 35 c) 29 d) -1

Answers

Answer:

w = 35/4

im not exactly sure why the options are whole numbers.

Step-by-step explanation:

8 = w-3/4

-w + 8 = -3/4

-w = -3/4 - 8

-w = -3/4 - 32/4

-w = -35/4

w = 35/4

How do the number line graphs of the solutions sets of Negative 23 greater-than x and x greater-than-or-equal-to negative 23 differ?

Answers

Answer:

For "Negative 23 greater-than x" , highlight the left half of the number line starting at -23 and use a parenthesis ) on -23.

For "x greater-than-or-equal-to negative 23", highlight the right half of the number line starting at -23, and use a square bracket [ on -23.

Step-by-step explanation:

Start by locating the number -23 on the number line. Please see attached image to accompany the explanation.

In the first case:  "Negative 23 greater-than x" , which is expressed mathematically as:

[tex]-23 >x[/tex]

notice that "x" has to be strictly smaller than the number -23, therefore those sought x values must reside to the left of the number -23, so we have to highlight that half of the number line. Apart from that, we need to include a symbol on top of the number -23, that indicates that -23 itself shouldn't be considered as part of the set, that symbol is by convention a parenthesis ).

In the second case: "x greater-than-or-equal-to negative 23", which is expressed mathematically as:

[tex]x\geq -23[/tex]

notice that "x" has to be greater than or equal to the number -23, therefore those sought x values must reside to the right of the number -23, so we have to highlight that half of the number line. Apart from that, we need to include a symbol on top of the number -23, that indicates that -23 itself should be considered as part of the set, that symbol is by convention a square bracket [.

Answer:

the answer is A

Step-by-step explanation:

how many squares would be in the 7th pattern?

Answers

Answer: I believe in would be 28.

Explanation:

Answer:

I would say that there would be 28 squares in the 7th pattern.

Step-by-step explanation:

If you look at how the pattern is gradually increasing every time you add the number located at the bottom to the previous pattern. So if that is the rule then you would add 7 more squares to the 21 squares in the 6th pattern. Then you add

21 + 7 and you get 28.

Ex: In the first pattern there is 1 square and then in the 2nd pattern you see that there is an additional 2 squares which is the number at the bottom of the actual pattern.

*Idk if this is the actual rule to the pattern so please do not come for me if I am wrong but this is the way my brain sees the patterns in the picture. I also went ahead and tried my theory for all the patterns in the picture and it works :)

I really hope that this helps you understand the question a bit more! :)

How to solve this Pythagoras’

Answers

Answer:

Step-by-step explanation:

Hypotenuse = Length of  ladder = 10m

Distance between wall and end of the ladder at ground =   leg ²  = 2 m

Height of wall = x m

Use Pythagorean theorem

leg² +x² = 10²

2² + x² = 100

4 +x²    = 100

       x² = 100 -4

      x² = 96

      x = √96

       x  = 9.7979

      x = 9.798 m

A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school collected during the two days. {12x + 4y = 15232x + 12y = 420 In the equations, x represents the cost of a chicken lunch and y represents the cost of a vegetarian lunch. Which is the cost of the vegetarian lunch?

Answers

Answer:

  11

Step-by-step explanation:

The two equations appear to be ...

12x +4y = 15232x +12y = 420

These can be solved for y using Cramer's rule:

  y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11

The cost of the vegetarian lunch is 11.

_____

Comment on Cramer's Rule

For equations ...

  ax +by =c

  dx +ey = f

The solutions are ...

  x = (bf -ey)/(bd -ea)

  y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression

Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.

Answer:

11

Step-by-step explanation:

quick mafs

If sin Θ = 5 over 6, what are the values of cos Θ and tan Θ?

Answers

Answer:

Check explanation

Step-by-step explanation:

Sin∅=5/6

Opp=5. Hyp=6

Adj= (√6²+5²)

= √11

Cos∅=(√11)/6

Tan∅=5/(√11)

Answer: cos(theta) = sqrt(11)/6 ; tan(theta)=5/sqrt(11).

Explanation:
sin inverse is restricted to the first and fourth quadrant, so the other side of the triangle is positive sqrt(11) by the Pythagorean theorem.

Which of these functions could have the graph shown below?

O A. f(x) = e^30x
O B. f(x) = 30^30x
O C. f(x) = 30^x
O D. f(x) = 30e^x

Answers

The functions could have the graph shown below will be y = 30eˣ. Then the correct option is D.

What is an exponent?

Let a be the initial value and x be the power of the exponent function and e be the increasing factor.

The exponent is given as

y = a(e)ˣ

From the graph, the value of the exponent function at x = 0, will be 30.

Then the function will be

30 = a(e)⁰

30 = a

Then the exponent function is given as,

y = 30eˣ

Thus, the functions could have the graph shown below will be y = 30eˣ.

Then the correct option is D.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2


HELP! SUPER URGENT!

A water sports store hires out wetsuits and diving equipment. The cost to hire a wetsuit is one-third of the cost to hire diving equipment.

Dave hired both a wetsuit and diving equipment for the same length of time and paid a total of $144.

How much did he pay for the hire of the wetsuit in dollars?

Answers

Answer:

Let the cost of hiring diving equipment be X

Given,

cost of hiring diving equipment=X

cost of hiring wet suit =1/3 of X

Total cost of both =$144

Now,

X+1/3X=$144

or, (3X+X)/3=$144 ( taking l.c.m.)

or, 4X/3=$144

or, 4X=$144*3

or, X=$432/4

or, X=$108

Therefore, he paid $36 which is 1/3 of x to hire wetsuit.

-10 + (-15) =
+
what do i do first​

Answers

Answer:

-15 then -10   = -25 we can only take one sign that accompanies the -10 and put in front of the brackets.

Step-by-step explanation:

-10 + (-15) = -25

just like (-15) -10 = 25

This is because ( ) is order of parenthesis Brackets first.

Answer:

-10 + (-15) is -25 and you do subtraction first.

Step-by-step explanation:

Since negative + negative is negative, you ignore the plus sign and continue with the equation. So -10 minus -15 is -25.

You can buy 5 stickers for $3. Write a proportion that gives the
cost c if you buy 12 stickers.

Answers

Answer:

$7.5

Step-by-step explanation:

Let

Quantity of stickers=x

Price of stickers=y

5 stickers cost $3

12 stickers cost $y

x/y = x/y

5/3 = 12/y

Cross product

5y=12*3

5y=36

Divide both sides by 5

5y/5 = 36/5

y=7.5

12 stickers= $7.5

Therefore, the price of 12 stickers= $7.5

guy i need help with this question also i got lik 20 more questions coming yall way

Answers

Answer:

A

Step-by-step explanation:

A linear function is a straight line

b,c,d all have curves so they are not linear functions

if the mean of 3 2 x 11 13 14 is 8 find the value of x​

Answers

Answer:

x=5

Step-by-step explanation:

To find the mean, add up all the numbers and then divide by the number of numbers

(3+ 2+x+ 11+ 13+14)/6 = 8

Multiply each side by 6

(3+ 2+x+ 11+ 13+14) = 48

Combine like terms

43+x = 48

Subtract 43 from each side

x =5

Answer:

[tex]\huge \boxed{{x=5}}[/tex]

Step-by-step explanation:

The mean is the average value of a data set.

[tex]\displaystyle \sf mean = \frac{sum \ of \ terms}{number \ of \ terms}[/tex]

The mean is given solve for x.

[tex]\displaystyle 8 = \frac{3+2+x+11+13+14}{6}[/tex]

Multiply both sides by 6.

[tex]\displaystyle 8(6) = \frac{3+2+x+11+13+14}{6} \times (6)[/tex]

[tex]48=3+2+x+11+13+14[/tex]

Combine the numbers on the right side of the equation.

[tex]48=x+43[/tex]

Subtract 43 from both sides.

[tex]48-43=x+43-43[/tex]

[tex]5=x[/tex]

3a + 7 b = 2
2a + 9 b = 15

solve this linear equations using elimination method

please show your working ✨✨ THANK YOU

Answers

Answer:

a = -87/13

b = 41/13

Step-by-step explanation:

3a + 7b = 2

2a + 9b = 15

You need to have one of the coefficients have the same number but the opposite sign in both equations.  Multiply the first equation by -2 and the second equation by 3.  You will then be able to cancel out a and solve for b.

-2(3a + 7b) = -2(2)

-6a - 14b = -4

3(2a + 9b) = 3(15)

6a + 27b = 45

-6a - 14b = -4

6a + 27b = 45

0a + 13b = 41

13b = 41

b = 41/13

Plug in the b-value into one of the given equations and solve for a.

3a + 7b = 2

3a + 7(41/13) = 2

3a + 287/13 = 2

3a = -261/13

a = -87/13

Verify the identity. cot(x - pi/2) = -tan(x)

Answers

Answer:

See below.

Step-by-step explanation:

[tex]\cot(x-\frac{\pi}{2})=-\tan(x)[/tex]

Convert the cotangent to cosine over sine:

[tex]\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)[/tex]

Use the cofunction identities. The cofunction identities are:

[tex]\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)[/tex]

To convert this, factor out a negative one from the cosine and sine.

[tex]\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)[/tex]

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

[tex]\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)[/tex]

A result of a number, what decreased by 15% equal 161. Find that number.

Answers

Answer: 189.41

Step-by-step explanation: Let’s take the number as n and if nx(100-15)/100=161 then 85n/100=161 and therefore n= 181.4117

I don’t know why the answer is in decimal as mostly it won’t be. Maybe you have made a mistake with the question so pls do check the question too!

The number of dollars in Teo's bank
account on Tuesday was 3 times as
much as the amount on Friday. How
many dollars were in the account on
Friday?

Answers

Answer:

y = $ x/3

Step-by-step explanation:

Let the amount of dollars in Teo's bank on Tuesday be $x and the amount in his bank on Friday be $y.

If the number of dollars in Teo's bank  account on Tuesday was 3 times as

much as the amount on Friday, this can be represented mathematically as;

x = 3y where y is the amount in his bank on Friday.

The amount of dollars in his account on friday will be gotten by dividing both sides of the equation by 3

3y = x

3y/3 = x/3

y = x/3

Hence the amount of dollars in his account on Friday is y = $ x/3


Which value is equivalent to


(7•5•2)^2 X ( 5^0 ) X 2-^9?
( 7•3 ) ( 2-^3)

Answers

Answer:

[tex]\frac{25}{144}[/tex]

Step-by-step explanation:

[tex](\frac{7 * 5 * 2}{7 * 3} )^2 * (\frac{5^0}{2^-3})^3 * 2^{-9}[/tex]

Simplified becomes;

[tex](\frac{10}{3})^2 * 2^3 * \frac{1}{2^9}[/tex]

Simplifying further gives; [tex]\frac{25}{144}[/tex]

Henry gathered data about the types of nuts in five handfuls of mixed nuts. The data he gathered is shown in the table. Select the points that represent this data.

Answers

Answer:

Look below.

Step-by-step explanation:

The location of the coordinate plane will be shown in the graph.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space.

Henry gathered data about the types of nuts in five handfuls of mixed nuts.

The data he gathered is shown in the table.

Handful     Number of peanuts       Number of other nuts

  A                           9                                        7

  B                           6                                        5

  C                           8                                        9

  D                           5                                        7

  E                            7                                        4

The graph is shown below.

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

#SPJ2

Simplify the expression: 3⋅6−2+2​

Answers

Hi there! Hopefully this helps!

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

Answer: 18.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

|

|3 × 6 - 2 + 2.

|

|Multiply 3 and 6 to get 18

\/

18 - 2 + 2 = 18

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtract 2 from 18 to get 16.

16 + 2 = 18.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Then, add 16 and 2 to get, you guessed it, 18!

Find the angle between the Crocodile River and the road. Show your work, and round your answer to the nearest tenth of a degree. Need help ASAP.

Answers

Answer:

63.4°

Step-by-step explanation:

Use the right triangle with vertices (0, 4), (6, 4), and (6, 7).

We are looking for the measure of the interior angle of the triangle at vertex (6, 7).

Call that angle, <A.

tan A = opp/adj

tan A = 6/3

A = 63.4°

The angle between the Serengeti Stream and the x-axis at the point (6, 7) is approximately 63.4°.

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The equation of the straight line that goes through the points (0, 4) and (6, 7),

First, let's calculate the slope:

m = (7 - 4) / (6 - 0) = 3/6 = 1/2

Now we can use the point-slope formula with the point (0, 4) and slope m = 1/2:

(y - 4) = (1/2)(x - 0)

y = (1/2)x + 4

Next, we need to find where this line intersects the Crocodile River, which is represented by the x-axis.

Setting y = 0 in the equation above, we get:

0 = (1/2)x + 4

x = -8

So, the Serengeti Stream flows into the Crocodile River at the point (-8, 0).

The slope of the Serengeti Stream at (6, 7) is:

m = (7 - 4) / (6 - 0) = 1/2

The slope of the line perpendicular to the Serengeti Stream at (6, 7) is the negative reciprocal of the slope of the Serengeti Stream:

m_perpendicular = -1/m = -1/(1/2) = -2

So the equation of the line perpendicular to the Serengeti Stream at (6, 7) is:

(y - 7) = (-2)(x - 6)

y = -2x + 19

The arctangent of the slope:

angle = arctan(-2)

angle ≈ -63.4° (CCW)

Therefore, the angle between the Serengeti Stream and the x-axis at the point (6, 7) is approximately 63.4°.

Learn more about the right triangle here:

https://brainly.com/question/11899922

#SPJ3

Given: m∠V=103°, m∠VRT=71°, RS ∥ VU Find: m∠TRS, m∠U

Answers

Answer:

m∠U = 103° and m∠TRS = 6°

Step-by-step explanation:

In the given circle O,

Since, RS║VU, and VR is a transverse,

Therefor, m∠V + m∠R = 180° [Consecutive interior angles]

m∠R + 103° = 180° [m∠R = 103° given]

m∠R = 180° - 103°

m∠R = 77°

Since m∠R = m∠VRT + m∠TRS

77° = 71° + m∠TRS

m∠TRS = 77° - 71° = 6°

Quadrilateral RTUV is a cyclic quadrilateral.

Therefore, m∠U + m∠R = 180°

m∠U + 77° = 180°

m∠U = 180° - 77° = 103°

Use the drawing tool(s) to form the correct answer on the provided graph. The function f(x) is shown on the provided graph. Graph the result of the following transformation on f(x). f(x) + 6

Answers

Answer:

[tex]f(x)=x+6 \\[/tex]

Step-by-step explanation:

The transformation is a translation 6 units up.

[tex]f(x)=x+6 \\[/tex]

We can use the parent function f(x)=x, which is a linear function to graph this function.

Then just translate the function 6 units up.

Answer:

on the x-axis to the left -1 and on the y-axis up 4

Step-by-step explanation:

Start from the -2 on the y-axis and go up on the y-axis 6 times and you should be at 4 on the y-axis. But to finish the problem you have to figure out the first line.

To do that start from the -2 on the y-axis then count up till its on a corner in the graph (rise 4 up on the y-axis then to the right once) so the fraction is 4/1

so rise 6 on the y-axis, you should be at 4 then use the formula rise/run 4/1

step 1 go up 6 times y-axis

step 2 use 4/1 rise from the 4 on the y-axis the run 1 to the right

It was 100% when I did it

ASAPPPPPP
What are the zeros of this function?
A. X4 and x 6
B. X-6 and x = 5
C. X-6 and xs-4
D. X 0 and x 4

Answers

x = 4 and x = 6

The zeros of a quadratic function are when the parabola crosses the x axis.

Here it crosses the x axis at x=4 and x=6
Other Questions
The distance from the Earth to the Sun equals 1 AU. Neptune is 30 AU from the Sun. How far is Neptune from the Earth? AU hi , what is third-party companies??? thank Which of the following are good workplace writinghabits? Check all of the boxes that apply.adjusting the writing style to the audienceand avoiding the use of technical terms if thereader is not familiar with the subjectchecking for errors and misspellings andmaking sure to use the correct version of awordusing abbreviations since everyone in theoffice understands their meanings When the current in a toroidal solenoid is changing at a rate of 0.0200 A/s, the magnitude of the induced emf is 12.7 mV. When the current equals 1.50 A, the average flux through each turn of the solenoid is 0.00458 Wb. How many turns does the solenoid have? What is the value of 5^4/5^6 What is the value of a perpetuity that pays $100 every 3 months forever? The interest rate quoted on an APR basis is 6%. Ezekiel came from a priestly family, which helps explain his emphasis on sin as uncleanness and defilement and his interest in the rebuilding of the future temple.A. TrueB. False Sagan scored 1200 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 980 and standard deviation 100. Andrea scored 27 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 20 and standard deviation 5. Who performed better on the standardized exams and why? Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean. Sagan scored higher than Andrea. Sagan's score was a 1200, which is greater than Andrea's score of 27. Andrea scored higher than Sagan. Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean, but closer to the mean than Sagan's standardized score of 2.2 standard deviations above the mean. Sagan scored higher than Andrea. Sagan's score was 220 points above the mean of 980, and Andrea's was 7 points above the mean of 20. Andrea scored higher than Sagan. Andrea is only 9 points from the top score of 36 on the ACT, and Sagan is 400 points from the top score of 1600 on the SAT. Which of the following best summarizes Roosevelt's list of four essential human freedoms? (4 points) All U.S. citizens should have the same civil liberties guaranteed by the Constitution. As many Americans as possible should have access to things like pensions and good medical care. Everyone in the world should be able to speak and worship freely and live without poverty or fear. Everyone in the world should have access to social security and employment. What is the midpoint of the segment below?A.(0, 0)B.(-1, 1)C.(0.5, 0.5)D.(0.5, -0.5) Narcissism is the tendency to view ones own culture or group as superior to others.True or False On January 1, Bramble Corp. has a beginning cash balance of $42000. During the year, the company expects cash disbursements of $300000 and cash receipts of $340000. If Bramble requires an ending cash balance of $40000, the company must borrow:________ Question 9(Multiple Choice Worth 2 points)Which statement best answers the question, "Why is copper a good conductor of electricity?"Copper atoms have a loosely held electron in their outer shell that is able to move freely to other atoms.Copper atoms are tightly bound and are able to work with other copper atoms to exchange electrical charges.Copper has an equal number of protons and electrons making the flow of current possible.Copper's outer shell electrons are not balanced and must join with other copper atoms in order to be stable. 28.Neethi had 814cups of flour and 3 liters of juice with her. She decided to make cupcakes anddistribute juice for her birthday.a) A cupcake requires 34cup of flour. How many cupcakes can she make? Several years ago, two scientists announced that they had evidence of "cold fusion" in the laboratory, but further studies failed to replicate their findings, and it was later found that the original scientists had used sloppy methods. This highlights which of the following critical thinking principles?A. Few "truths" do not need to be tested.B. All evidence is not equal in quality.C. Authority or expertise does not make the claims of the authority or expert true.D. Critical thinking requires an open mind. if a source of sound waves is rabidly approaching a person the sound heard by the person appears to have? Why is the number of young children in the present deplorable state of the kingdom a very great additional grievance? .You deposit $200 in an account earning 3.5% simple interest. How long will it take for thebalance of the account to be $221? why the circulatory system is considered to be a closed system? Exercise promotes general good health in many ways. Not only does it make you healthier, but it also makes you more fit. It makes you physically able to achieve more, and it also makes you feel better about yourself among many other things.