hello please help with my question, I will give brainlyest!

Hello Please Help With My Question, I Will Give Brainlyest!

Answers

Answer 1

No, John is incorrect.

Correct work shown:

[tex]\sf x^2 - 6x - 7 = 0[/tex]

[tex]\sf x^2 - 6x = 7[/tex]

[tex]\sf x^2 - 6x + 9= 7 + 9[/tex]

[tex]\sf (x-3)^2= 16[/tex]

[tex]\sf x-3=\pm \sqrt{16}[/tex]

[tex]\sf x-3= \pm 4[/tex]

[tex]\sf x= + 4 + 3 \quad or \quad x = -4 + 3[/tex]

[tex]\sf x= 7 \quad or \quad x = -1[/tex]

The correct answer should be x = 7 or x = -1


Related Questions

Here is a right-angled triangular tile.
A hollow shape is made using four of these
triangular tiles and four square tiles.
Work out the perimeter of the hollow shape.

Answers

The perimeter of the hollow shape is 16d + 4(a + b + c)

How to determine the perimeter?

The question is incomplete, and the missing parameters cannot be found.

So, I will give a general explanation on how to determine perimeter.

The given information are:

4 right triangles4 squares

The perimeter of a right triangle that has sides a, b and c is:

P = a + b + c

Since there are 4 triangles, the perimeter of the 4 triangles is:

P = 4(a + b + c)

The perimeter of a square that has side length d is:

P = 4d

Since there are 4 squares, the perimeter of the 4 triangles is:

P = 4 * 4d

P = 16d

Add the perimeters of the squares and the triangles

P = 16d + 4(a + b + c)

Hence, the perimeter of the hollow shape is 16d + 4(a + b + c), where a, b, c and d are the unknown variables

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PLEASE HELP
For j(x) = 4x − 2, find j of the quantity x plus h end quantity minus j of x all over h period


4 to the power of the quantity x minus 2 end quantity times the quantity 4 to the power of h end quantity all over h

4 to the power of the quantity x minus 2 end quantity times the quantity 4 to the power of h plus 1 end quantity all over h

4 to the power of the quantity x minus 2 end quantity times the quantity 4 to the power of h minus 1 end quantity all over h

the quantity x minus 2 end quantity times the quantity 4 to the power of h plus 1 end quantity all over h

Answers

Step-by-step explanation:

The figure below shows a portion of the graph of the function [tex]j\left(x\right) \ = \ 4^{x-2}[/tex], hence the average rate of change (slope of the blue line) between the [tex]x[/tex] and [tex]x+h[/tex] is

                     [tex]\text{Average rate of change} \ = \ \displaystyle\frac{\Delta y}{\Delta x} \\ \\ \rule{3.7cm}{0cm} = \dsiplaystyle\frac{f\left(x+h\right) \ - \ f\left(x\right)}{\left(x \ + \ h \right) \ - \ x} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{f\left(x + h\right) \ - \ f\left(x\right)}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{4^{x+h-2} \ - \ 4^{x-2}}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{4^{x-2+h} \ - \ 4^{x-2}}{h}[/tex]

                                                            [tex]\\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{\left(4^{x-2}\right)\left(4^{h}\right) \ - \ 4^{x-2}}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{\left(4^{x-2}\right)\left(4^{h} \ - \ 1 \right)}{h}[/tex]

One Scrambled egg contains 95 calories . How many calories are there in 3 scrambled eggs​

Answers

There are 285 calories in three scrambled eggs.

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

Answer:  [tex]\textsf{285 total calories}[/tex]

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

Given: [tex]\textsf{1 egg = 95 calories}[/tex]

Find: [tex]\textsf{Calories in 3 eggs}[/tex]

Solution: In order to determine the total amount of calories in 3 eggs we must multiply the amount of calories in one egg by 3.  So we do 95 * 3 which gives us 285 total calories.

Why is it important to use the correct units of measurement when working with conversions?

Answers

Answer:

help to others the exact amount u have

Using the figure, which is an example of a diameter?

Answers

Answer: Segment AD

Reason:

Any diameter goes through the center of a circle, with both endpoints on the circle edge.

Another diameter is segment FC.

Answer:

CF and AD

Step-by-step explanation:

Hello!

Parts of a CircleA Radius is the line segment that stretches from the center of the circle to the outer curve.A Diameter is the line segment that stretches from side to side of a circle that goes through the center of the circle.The Circumference is the length of the outer border of the circle.

Given the definitions, we are simply looking for any line that goes through the center of the circle, and touches twice on the circumference of the circle.

There are only two lines that seem to go through the circle, and have endpoints on the circle:

CFAD

100 POINTS!!! A group of students were asked if they carry a credit card. The responses are listed in the table. If a student is selected at random, find the probability that he or she owns a credit card given that the student is a freshman. Round your answer to three decimal places.

Answers

21/100=.21

Since it’s saying their is a student selected at random that means it is out of 100 students. Then it’s asking for freshman who have a credit card which is 21 people. That means it’s 21/100 which is .21 probability.

Answer:

0.350  (3 d.p.)

Step-by-step explanation:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Let P(A) = probability that the student is a freshman

Let P(B) = probability that the student owns a credit card

Use the given table to calculate the probability that the student is a freshman:

[tex]\implies \sf P(A)=\dfrac{60}{100}=0.6[/tex]

And the probability that the student is a freshman and owns a credit card:

[tex]\implies \sf P(A \cap B)=\dfrac{21}{100}=0.21[/tex]

To find the probability that the student owns a credit card given that the they are a freshman, use the conditional probability formula:

Conditional Probability Formula

The probability of B given A is:

[tex]\sf P(B|A)=\dfrac{P(A \cap B)}{P(A)}[/tex]

Substitute the found values into the formula:

[tex]\implies \sf P(B|A)=\dfrac{0.21}{0.6}=0.35[/tex]

Therefore, the probability that the student owns a credit card given that they are a freshman is 0.35

12. Of two inlet pipes, the smaller pipe takes four hours longer than the larger pipe to fill a
pool. When both pipes are open, the pool is filled in three hours and forty-five minutes. If
only the larger pipe is open, how many hours are required to fill the pool?

Answers

Answer:

6 hours

Step-by-step explanation:

Let the smaller pipe fill the pool in x hours and the bigger pipe y hours.

x-y=4

1/x+1/y=4/15

x=10, y=6

so 6 hours

Step-by-step explanation:

l = large pipe

s = small pipe

s needs x hours alone to fill the pool.

l needs x-4 hours alone to fill the pool.

s does 1/x of the work in 1 hour.

l does 1/(x-4) of the work in 1 hour.

3 hours 45 minutes = 3.75 hours

3.75 × 1/x + 3.75 × 1/(x-4) = 1 (= the whole work)

3.75 + 3.75 × x/(x-4) = x

3.75×(x-4) + 3.75×x = x(x-4) = x² - 4x

3.75x - 15 + 3.75x = x² - 4x

7.5x - 15 = x² - 4x

-15 = x² - 11.5x

0 = x² - 11.5x + 15

the general solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -11.5

c = 15

x = (11.5 ± sqrt(132.25 - 4×1×15))/(2×1) =

= (11.5 ± sqrt(72.25))/2 = (11.5 ± 8.5)/2

x1 = (11.5 + 8.5)/2 = 20/2 = 10

x2 = (11.5 - 8.5)/2 = 3/2 = 1.5

x = 1.5 would turn l = 1/(x-4) negative, which does not make sense.

so, x = 10 is our solution.

that means

s does 1/10 of the work in 1 hour.

so, the small pipe alone fills the pool in 10 hours.

l does 1/(10-4) = 1/6 of the work in 1 hour.

so, the large pipe alone fills the pool in 6 hours.

Need help with this

Answers

Answer:

23 degrees

Step-by-step explanation:

We can use basic trigonometric equations to solve for the angle x because we are given a right triangle.

I will use the sin x = opposite / hypotenuse

sin x = 5 / 13

x = sin^-1 (5 / 13)

x = 22.61986 degrees

The question requires us to round to the nearest degree which is 23.

Other alternative methods you can use include the tangent and cosine functions or the law of cosines.

Answer:

x = 23°

Step-by-step explanation:

I will use

[tex]tanx=opposite/adjacent[/tex]

[tex]tanx=\frac{5}{12}[/tex]

[tex]x=tan^{-1} (\frac{5}{12} )=tan^{-1} (0.417)=22.62^{o}[/tex]

rounded to the nearest degree : 23°

Hope this helps

1) Write four consecutive integers preceding -87?​

Answers

Answer:

-86,-85,-84,-83 and so on...

Step-by-step explanation:

Use the Number Line

Answer:

-88,-89,-90,-91,-92

Step-by-step explanation:

Can u help me with number 7

Answers

Step-by-step explanation:

This triangle is acute! ✅

It is also scalene.

see the picture below

A relish is prepared by the following recipe:
pickles
onions
1000 pounds
500 pounds
900 pounds
75 pounds
5 pounds.
sugar
salt brine
spices
The onions are 85% water, the pickles are 92% water and 1.1% salt, and the salt brine is 88%
water. During processing, 18% of the water originally in the mixture is evaporated out.
What is the weight of relish prepared.

Answers

The weight of relish prepared after the evaporation of water is 2,226.02 pounds

Percentage

pickles = 1000 poundsonions = 500 poundssugar = 900 poundssalt brine = 75 poundsspices = 5 pounds

Total = 1000 + 500 + 900 + 75 + 5

= 2,480 pounds

pickles are 92% water

= 92/100 × 1000

= 920 pounds

onions are 85% water

= 85/100 × 500

= 425 pounds

salt brine is 88% water

= 88/100 × 75 pounds

= 66 pounds

Total water in the mixture = 920 pounds + 425 pounds + 66 pounds

= 1,411 pounds

Percentage of water evaporated = 18%

Amount of water evaporated = 18/100 × 1,411 pounds

= 253.98 pounds

Weight of the relish prepared = 2,480 pounds - 253.98 pounds

= 2,226.02 pounds

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This table shows rainfall in centimeters for a city in different months the quadratic regression equation that models these data is y=-0.77x^2+6.06x-5.9. Using the model the predicted rainfall for month 11 is about -32.4 centimeters does this prediction make sense why or why not HELP ASAP

Answers

Answer:

  (a) No; rainfall amounts are positive

Step-by-step explanation:

Rainfall amounts are measured using a gauge that reports the amount as zero when the gauge is empty. Any rainfall adds to the amount in the gauge, so is reported as a positive number. There is no way to remove more rainfall than is in the gauge, so there is no way to have a negative rainfall amount

A prediction of a negative rainfall amount makes no sense, because you can't have a negative amount of rainfall.

Solve for x: -4(3x - 2) = 6x +2

Answers

Answer:

x=1/3

Step-by-step explanation:

-4(3x-2)=6x+2

or,-12x+8=6x+2

or,-12x-6x=2-8

or,-18x=-6

or,x=-6/-18

or,x=1/3

will give brainliest

Answers

Answer:

Step-by-step explanation:

what is the area of the shaded face of the cylinder is 22m
give your answer to the nearest whole number and give the correct units

Answers

The area of the shaded face of the cylinder with the given radius is approximately 1520cm².

This question is incomplete, the missing diagram is uploaded along the answer below.

What is the area of the shaded face of the cylinder?

From the diagram, the shaded region is a circle with radius 22 meters.

Area of a circle is expressed as;

A = π × r²

r is radius and π is constant pi ( π = 3.14 )

We substitute our values into the equation above.

A = π × r²

A = 3.14 × (22m)²

A = 3.14 × 484m²

A = 1519.76 ≈ 1520cm²

Therefore, the area of the shaded face of the cylinder with the given radius is approximately 1520cm².

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the area of a right triangle is 6 square units. if the length of one leg is 4, what is the length of the altitude to the hypotenuse?
a) 6/5 d)12/5
b)4/3 e)15/4
c)3/2

Answers

The length of the altitude to the hypotenuse of the right triangle is 3 / 5

How to find the altitude of a right triangle?

A right triangle has one of it's angle as 90 degrees. Therefore,

area of right triangle = 1 / 2 bh

where

b = baseh = height

Hence,

6 = 1 / 2 × 4 × h

6 = 4h / 2

cross multiply

12 = 4h

divide both sides by 4

h = 12 / 4

h = 3 units

Hypotenuse² = 4² + 3²

c² = 16 + 9

c = √25

c = 5

Therefore, the length of the altitude to the hypotenuse of the right triangle is 3 / 5

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Help don’t understand

Answers

Answer:

f(-14) = -6

f(-4) = 6

f(12) = 6

f(0) = -3

negative

Step-by-step explanation:

f(-14) = -6

This is because when x is -14, y is -6, as seen in the graph

f(-4) = 6

This is because when x is -4, y is 6, as seen in the graph

f(12) = 6

This is because when x is 12, y is 6, as seen in the graph

f(0) = -3

This is because when x is 0, y is -3, as seen in the graph

is f(4) positive or negative?
negative

This is because when x is 4, y is -6, as seen in the graph

If your scientific notation is 2.420 x 10° g (2.420 E 5 g), which direction would you move the decimal point to get the scientific notation converted back to standard notation?
Down
Left
Up
Right

Answers

According to scientific notation the decimal point is shifted to the right (option D).

What is scientific notation?

Scientific notation is a term to refer to the way of writing numbers based on powers of 10. Generally this tool is used for very large or small values.

According to the above, the number 2,420 x 10⁵ expressed in decimal would look like this:

242000

According to the above, it can be inferred that the point is placed in the final right part of the number, that is, it moves to the right.

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Roll the number cube below several times to get a sense of its random behavior. What is the probability of rolling a 3?

Answers

Step-by-step explanation:

If you roll the die once, the probability of getting a 3 is 1/6

If you roll the die twice and get a three both times, the probability of that happening is 1/6 * 1/6 or 1/36

and so on...

The probability of rolling a 3 is 1/6.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

A number cube is rolled several times.

There are a total of 6 numbers in a number cube.

Total outcomes = 6

We have to find the probability of rolling a 3.

Probability = 1/6

Hence the required probability is 1/6.

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What is the area of the parallelogram?

Enter your answer in the box.

mm²
Parallelogram. Left side labeled 21 millimeters. Top side labeled 27 millimeters. A dashed segment perpendicular to the 27 millimeter side is labeled 18 millimeters.

Answers

Answer:

486mm²

Step-by-step explanation:

The area of a parallelogram is h*b where h is the height/altitude and b is the base.

The base is 27 millimeters and the altitude is 18 millimeters, so we multiply those together.

27*18= 486.

The area of the parallelogram is 486mm²

Hope this helps!

Which rule describes the composition of transformations that maps ΔJKL to ΔJ"K"L"?

Answers

The  rule that describes the composition of transformations that maps ΔJKL to ΔJ"K"L" is Rotation  0° to  90°  and reflection about the x-axis.

What is the transformations rule that was used here?

A transformation is a rule that is used to manipulate the position of a point of geometric figure.

Analyzing the figure, rotation of ΔJKL through the angle 90 degrees in a counter-clockwise direction gives us  ΔJ'K'L' .

ΔJ"K"L" is been gotten also using ΔJ'K'L'  through the refraction of ΔJ'K'L' across the x-axis.

In this case,   rule that describes the composition of transformations that maps ΔJKL to ΔJ"K"L" is Rotation  0° to  90°  and reflection about the x-axis.

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Answer: C). 90 degree rotation about point 0 composition translation of negative 2 units x, 0 units y

Step-by-step explanation:

Can someone please help me with calculus , i am having so much trouble. Thank you! 12points

Answers

1) If the limit [tex]L[/tex] is

[tex]L = \displaystyle \lim_{\Delta x\to0} \frac{\sin\left(\frac\pi3 + \Delta x\right) - \sin\left(\frac\pi3\right)}{\Delta x}[/tex]

then using the hint as well as [tex]\sin\left(\frac\pi3\right)=\frac{\sqrt3}2[/tex] and [tex]\cos\left(\frac\pi3\right)=\frac12[/tex] we have

[tex]\displaystyle L = \lim_{\Delta x\to0} \frac{\sin\left(\frac\pi3\right)\cos(\Delta x) + \cos\left(\frac\pi3\right)\sin(\Delta x) - \sin\left(\frac\pi3\right)}{\Delta x}[/tex]

[tex]\displaystyle L = \sin\left(\frac\pi3\right) \lim_{\Delta x\to0} \frac{\cos(\Delta x) - 1}{\Delta x} + \cos\left(\frac\pi3\right) \lim_{\Delta x} \frac{\sin(\Delta x)}{\Delta x}[/tex]

[tex]L = \dfrac{\sqrt3}2 \times 0 + \dfrac12\times1 = \boxed{\dfrac12}[/tex]

which follows from the well-known limits,

[tex]\displaystyle \lim_{x\to0} \frac{1-\cos(x)}x = 0 \text{ and } \lim_{x\to0} \frac{\sin(x)}x=1[/tex]

Alternatively, if you already know about derivatives, we can identify the limit as the derivative of [tex]\sin(x)[/tex] at [tex]x=\frac\pi3[/tex], which is [tex]\cos\left(\frac\pi3\right)=\frac12[/tex].

2) It looks like you may be using double square brackets deliberately to denote the greatest integer or floor function which rounds the input down to the nearest integer. That is, [tex][\![x]\!][/tex] is the greatest integer that is less than or equal to [tex]x[/tex]. The existence of [tex]L[/tex] depends on the equality of the one-sided limits.

Suppose [tex]3\le x<4[/tex]. Then [tex]2[tex]\displaystyle \lim_{x\to4^-} [\![x - 1]\!] = 2[/tex]

Now suppose [tex]4\le x<5[/tex], so that [tex]3\le x-1 < 4 \implies [\![x-1]\!]=3[/tex] and

[tex]\displaystyle \lim_{x\to4^+} [\![x-1]\!] = 3[/tex]

The one-sided limits don't match so the limit doesn't exist.

Let g(x) = log7 (x),
find g ¹(0)

Answers

Step-by-step explanation:

The derivative of log is

[tex] \frac{d}{dx} ( log_{a}(x) ) = \frac{1}{x \: ln(a) } [/tex]

You can easily derive this using the Change of base rule, and natural log rules

[tex] log_{a}(x) = \frac{ log_{e}(x) }{ log_{e}(a) } = \frac{ ln(x) }{ ln(a) } [/tex]

Next, we differentiate with respect to x.

[tex] \frac{d}{dx} \frac{ ln(x) }{ ln(a) } = \frac{1}{ ln(a) } \times \frac{d}{dx} ln(x) [/tex]

[tex] = \frac{1}{x ln(a) } [/tex]

So back to the topic at hand,.

a=7, so we get

[tex] \frac{1}{x ln(7) } [/tex]

We plug in 0, we would get undefined

what term does the dormula sinA/a =sinB/b represent

Answers

Answer:

Law of sines

Step-by-step explanation:

The law of sines is a formula used to find either an angle or side in a non-right triangle.

You have to have at least three parts to use it.

For example, if you have angle A and its side (a) along with angle B, you can use it to find side b.

Select the solution to the following system of equations:

Answers

Answer:

4x+2y=4

3x-y=-7

first one by 3

second by 4

12x+6y=12

12x-4y=-28

subtract

10y=40

y=4

plug in

3x-4=-7

add 4

3x=-3

x=-1

(-1,4)

c

Hope This Helps!!!

Answer: third option

Step-by-step explanation:

There are 2 ways to go about systems of equations normally, and that's elimination and substitution. For this particular problem, I would recommend elimination.

we see the first equation 4x+2y=4

we want to be able to simplify it as much as possible (so it's easier to solve)

so we divide all the terms by 2, giving 2x+y=2.

the second equation can't be simplified, so we set up the elimination method.

   2x+y=2

  -3x-y=-7

multiplying both equations by 2 and 3, we subtract them and get that y equals 4, which is clearly the answer.

so if you have to do goals what goals are best

Answers

It really depends what situation you are trying to set goals at,

Trying to understand math concept or any really concept, I would set little goals such as " Study for 15 mins a day" or something and the big goal would be "UNDERSTAND THE CONCEPT"

for goals, I would set small goals that work towards your main goal.

Answer:

Marriage and Family Harmony. ...

Proper Mindset and Balance. ...

Commitment to Improved Physical Health. ...

Career Passion and Personal Satisfaction. ...

Develop Empathy and Gentleness. ...

Financial Stability. ...

Service and Social Responsibility.

Are the arcs below congruent?
113°
A
B
0
H
120⁰
G
OA. Yes, because the central angles are the same.
OB. Yes, because they are both minor arcs.

Answers

Answer:

C. no, because the arcs do not have the same measure.

Step-by-step explanation:

for 2 structures to be congruent all the angles need to be the same (and then all the lines must have the same scaling factor between both structures - but that is not relevant here anymore, since the angles are already off).

Adrian exercised three days during the past week. He exercised 58 minutes and 45 seconds during the
first day, 40 minutes and 40 seconds on the second day, and 20 minutes and 35 seconds on the third
day. How many hours did he spend exercising during the week?

Answers

Answer:

2h 1' 1"

Step-by-step explanation:

1h = 1 hora

1' = 1 minute

1" = 1 secind

The sum of the three days is:

  58'  45"

+ 40'  40"

  20'  36"

= 118'  121"

118' 121" = 118' + 121"

1' = 60"

121" = 120" + 1"  = (120/60) + 1 = 2' + 1"

Then:

118' + 121" = 118' + 2' ´+ 1" = 120' + 1"

1 h = 60'

(120/60) + 1 = 2h + 1'

then:

118' + 121" = 2h + 1' + 1"

= 2h 1' 1"

Giving brainliest :)

Answers

Answer:

3

Step-by-step explanation:

first find g(-2) by plugging in -2 as x in the g(x) equation

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

g(-2) = -6+5

g(-2) = -1

then plug that value (-1) as x in the f(x) equation

f(-1) = 4-(-1)^2

f(-1) = 4-1

f(-1) = 3

the mean monthly electric bill is 132 residents of the local apartment complex is $86 what is the best point estimate for the mean monthly electric bill for all residents of the local apartment complex?

Answers

Considering the sample mean, the best estimate for the mean monthly electric bill for all residents of the local apartment complex is of $86.

How to find the point estimate of a population parameter?

The point estimate for the population parameter is found according to the parameter for a sample from the population. For example:

The best point estimate for the population mean is the sample mean.The best point estimate for the population standard deviation is the sample standard deviation.

In this problem, the mean bill for 132 residents is of $86, hence the best estimate for the mean monthly electric bill for all residents of the local apartment complex is of $86.

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Hi, I'm not a native speaker but I wondered if this sentence is correct"Lover is the best album made by Taylor Swift" Is xxx greater than, less than, or equal to 110^\circ110 110, degrees? _____ tell people symbolically what the organization wants them to do and how it expects them to do it. Group of answer choices Please help me....trying to get my HS diploma, i did not graduate :(A ball is thrown in air and it's height, h(t) in feet, at any time, t in seconds, is represented by the equation h(t)=t2+7t. When is the ball higher than 10 feet off the ground? How does Gibb respond to Brodericks argument Will enumeration finally end the discrimination felt by the LGBTQ community? Explain A solution is made by dissolving 3.14 g of NaCl in 79.9 mL of water. What is the concentration of sodium chloride in units of weight/volume percent? Group of answer choices 3.78% (w/v) NaCl 96.1% (w/v) NaCl 3.93% (w/v) NaCl 0.0393% (w/v) NaCl The following diagram shows the branching tree for four kingdoms and some of their shared derived characteristics. (Common Cell) Protists Plants Fungi Animals What shared characteristic can be written at point X? Use complete sentences to explain your answer. Describe the composition and the main parts of a comet. Scientists want to test a new pair of running shoes. A speed test is performed with two separate groups of participants. The treatment group will wear the new pair of running shoes, while the control group will not. It is believed that age and height may affect speed. Which of the following would be most effective in controlling the confounding variables, such as age and height, in this study? The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is fourtimes the measure of the first angle. The third angle is 12 more than the second. Let x, y, and z represent the measures ofthe first, second, and third angles, respectively. Find the measures of the three angles. x, 3x and 5x ,find the sum Which answer shows y+2x is asthma is cased by virus 2.what regulatory standards dictate how you would handle requests for substitutions in long-term care, and what do they say Find the gradients of lines A and B.B14112Hol8NO 9 go6412-3-2-10-2-4-6A2 3 4 57x what is the purpose of genetic screening The water is flowing through the horizontal constricted pipe. The pressure at one end is 4500Pa, speed is 3m/s and area of cross-section is A, Calculate the speed and pressure at another end where the area of cross-section is A/3. A toy dart gun uses a spring with a spring constant of 35 N/m. To use the dart gun, you compress the spring by pushing in a dart of mass 0.002 kg. a. If you compress the spring by 0.02 m, what force is the spring exerting on the dart? b. With the spring compressed 0.02 m, how much elastic potential energy is stored in the spring? c. If you release the spring, it pushes the dart forward. What is the kinetic energy of the dart when it reaches the natural length of the spring? Explain how you found the answer. d. What is the speed of the dart when it reaches the natural length of the spring? which of the following needs to be cited within the text of a paper? select all that apply