What is the value of (-7 +31) - (2-61)?

Answers

Answer 1

Answer: 83

Step-by-step explanation:

(-7+31) - (2-61)

(24) - 2+61

22+61

83


Related Questions

Which of the following is the converse of the statement “if it is my birthday, then it is September”

Answers

Answer:

The converse statement is "If its is September then it is my birthday"

Step-by-step explanation:

Answer:

If its is September then it is my birthday basically reverising it

Step-by-step explanation:

Consider the exponential function f(x)
its
graph.​

Answers

Answer:

# The growth value of the function is 1/3 ⇒ 2nd

# f(x) shows exponential decay ⇒ 3rd

# The function is a stretched of the function [tex]f(x)=(\frac{1}{3}) ^{x}[/tex] ⇒ 4th

Step-by-step explanation:

* Lets explain the exponential function

- The form of the exponential function is f(x) = a b^x, where a ≠ 0,

  b > 0 , b ≠ 1, and x is any real number

- a is the initial value of f(x) ⇒ (when x = 0)

- b is the growth factor

- The exponent is x

- If the growth factor (b) is in between 1 and 0 then it is exponential

 decay

* Lets solve the problem

∵ [tex]f(x)=3(\frac{1}{3})^{x}[/tex]

- Lets find the initial value

∵ At the initial position x = 0

∴ [tex]f(0)=3(\frac{1}{3})^{0}=3(1)=3[/tex]

* The initial of f(x) is 3

∵ b = 1/3

∵ b is the growth factor of the function

* The growth value of the function is 1/3

∵ b = 1/3

∵ 0 < b < 1

∴ The function is exponential decay

* f(x) shows exponential decay

- A vertical stretching is the stretching of the graph away from the x-axis

- If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched

∵ [tex]f(x)=(\frac{1}{3})^{x}[/tex]

∵ Its parent function is [tex]f(x)=3(\frac{1}{3})^{x}[/tex]

∴ k = 3

∵ k > 1

∴ the function is stretched vertically

* The function is a stretched of the function [tex]f(x)=(\frac{1}{3})^{x}[/tex]

∴ The true statements are:

# The growth value of the function is 1/3

# f(x) shows exponential decay

# The function is a stretched of the function [tex]f(x)=(\frac{1}{3})^{x}[/tex]

What is the range of this function

Answers

The range of a function is the output values ( Y values)

These would be the numbers the arrows are pointing at.

-8, -3 , 5 and 7

The answer is C.

Simplify sqr 18
A 2 sqr 3
B 2 sqr 9
C 3 sqr 2
D 9 sqr 2

Answers

[tex]\bf \sqrt{18}~~ \begin{cases} 18=&2\cdot 3\cdot 3\\ &2\cdot 3^2 \end{cases}\implies \sqrt{2\cdot 3^2}\implies 3\sqrt{2}[/tex]

Answer:

C. 3√2

Step-by-step explanation:

√18

= √(9 x 2)

= √9 x √2

= 3√2

Which graph represents the inequality x ≤ –2 or x ≥ 0?




Answers

For this case we have the following expressions:

[tex]x \leq-2\\x \geq0[/tex]

So:

[tex]x \leq-2[/tex] Indicates all values less than or equal to -2.

That is, from -∞ to -2.

[tex]x \geq0[/tex] Indicates all values greater than or equal to 0.

That is, from 0 to ∞.

The "or" means that they do not intersect. So, the correct graph is option A.

Answer:

Option A

Answer:

Option A

Step-by-step explanation:

Edg 2020

Type the correct answer in each box. Round numbers to the nearest tenth, if necessary.
Solve the equation by filling out the table.

-0.5x − 2 = 2x−1 − 5

Answers

ANSWER

[tex]x = 1.6[/tex]

EXPLANATION

The given equation is:

[tex] - 0.5x - 2 = 2x - 1 - 6[/tex]

Group similar terms to obtain:

[tex] - 0.5x - 2x = - 5 - 1 + 2[/tex]

Simplify similar terms,

[tex] - 2.5x = - 4[/tex]

Divide both sides by -2.5

[tex]x = \frac{ - 4}{ - 2.5} [/tex]

[tex]x = 1.6[/tex]

Answer: see table completed.

Step-by-step explanation:

Hope this helps.


1. Graph the function f (x) =

Answers

Hello!

The graph is attached.

Why?

To solve the given piecewise function, we need to graph each of the functions that compound the main function with their respective domain restrictions.

So, solving we have:

- First function: Positive slope line (red line).

[tex]f(x)=x+1=y\\\\y=x+1, if x<0[/tex]

Let's find the axis intercepts in order to be able to graph the function.

Finding the x-axis intercept, we need to make "y" equal to 0, so:

[tex]y=x+1\\\\0=x+1\\x=-1[/tex]

So, we have that the x-axis intercept is located at the point (-1,0)

Finding the y-axis intercept, we to mate "x" equal to 0, so:

[tex]y=x+1\\\\y=0+1\\y=1[/tex]

So, we have that the y-axis intercept is located at the point (0,1)

Hence, we have that the function exists from the values of "x" less than 0 to the negative infinite or (-∞,0)

- Second function: Horizontal line (blue line).

[tex]y=2,if0\leq x\leq 1[/tex]

Since there is not variable, we know that it's a horizontal line that passes through y equal to 2.

Hence, we have that the function exists between the values of "x" from  0 to 1 or  [0,1]

- Third function: Positive slope line (green line).

[tex]y=x,ifx>0[/tex]

Let's find the axis intercepts in order to be able to graph the function.

Finding the x-axis intercept, we need to make "y" equal to 0, so:

[tex]0=x+\\\\0=x+\\x=0[/tex]

So, we have that the x-axis intercept is located at the point (0,0)

Finding the y-axis intercept, we to make "x" equal to 0, so:

[tex]y=x\\\\y=0\\y=0[/tex]

We have that the function only pass through the point (0,0) or origin.

Hence, we have that the function exists from the values of "x" greater than 2.

So, the graph of the given function is attached.

Have a nice day!

Complete this sentence: The longest side of a triangle is always opposite the _______.
A. Second-longest side
B. Angle with the smallest measure
C. Angle with the greatest measure
D. Shortest side

Answers

Answer:

The answer is C. Angle with greatest measure

Step-by-step explanation:

In any triangle, there are two property that they always fulfill:

The shortest side is always opposite the smallest interior angle The longest side is always opposite the largest interior angle

A classical example is in a right triangle: We know that the hypotenuse is the longest side, and also we know that the greatest angle is the right angle.

I have attached an image that shows the properties of the triangles.

Finally, the answer is C. Angle with the greatest measure.

Answer:

Angle with the greatest measure.

Step-by-step explanation:

Determine the equation of the line with the points (–13,10) and (16, 15).

Answers

[tex]\bf (\stackrel{x_1}{-13}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{15}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{15-10}{16-(-13)}\implies \cfrac{5}{16+13}\implies \cfrac{5}{29}[/tex]

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-10=\cfrac{5}{29}[x-(-13)] \\\\\\ y-10=\cfrac{5}{29}(x+13)\implies y-10=\cfrac{5}{29}x+\cfrac{65}{29}\implies y=\cfrac{5}{29}x+\cfrac{65}{29}+10 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=\cfrac{5}{29}+\cfrac{355}{29}~\hfill[/tex]

x – 4 = 12.5 can be written in words as

Answers

Answer:

a number subtracted by four equals twelve and five tenths

Step-by-step explanation:

The unicorns: Stardust, Umo, Windthorn and Highflyer are enjoying themselves playing in the forest. They notice 8 spiders in the tree, 5 cockroaches, 7 bees, 3 deer, 4 cows and a pair of antlers behind a bush. How many legs do all the numbered creatures amount to all together?

Answers

Answer:

There are 188 legs in all

Step-by-step explanation:

Let's solve this problem step by step:

1. First of all, there are 4 unicorns enjoying themselves playing in the forest, they are: Stardust, Umo, Windthorn and Highflyer are enjoying themselves playing in the forest. Each unicorn has 4 legs, so:

[tex]4 \ unicorns \times 4 \ legs=\boxed{16 \ legs}[/tex]

2. The unicorns notice 8 spiders in the tree, so each spider has 8 legs. Accordingly:

[tex]8 \ spider \times 8 \ legs=\boxed{64 \ legs}[/tex]

3. There are 5 cockroaches, so each cockroach has 6 legs. Accordingly:

[tex]5 \ cockroaches \times 6 \ legs=\boxed{30 \ legs}[/tex]

4. There are 7 bees, so each bee has 6 legs. Accordingly:

[tex]7 \ bees \times 6 \ legs=\boxed{42 \ legs}[/tex]

5. There are 3 deer, so each deer has 4 legs. Accordingly:

[tex]3 \ deers \times 4 \ legs=\boxed{12 \ legs}[/tex]

6. There are 4 cows, so each cow has 4 legs. Accordingly:

[tex]4 \ cows \times 4 \ legs=\boxed{16 \ legs}[/tex]

7. They notice a pair of antlers behind a bush, so this means there are 2 more deers, and each having 4 legs. Accordingly:

[tex]2\ deers \times 4 \ legs=\boxed{8 \ legs}[/tex]

7. They notice a pair of antlers behind a bush, so this means there are 2 deers, and each having 4 legs. Accordingly:

[tex]2\ deers \times 4 \ legs=\boxed{8 \ legs}[/tex]

Adding all the amounts of legs we have:

[tex]Total=16+64+30+42+16+12+8=\boxed{188 \ legs}[/tex]

Between noon and 9pm the temperature dropped 10°F. If the temperature was -4°F at 9pm what was the temperature at noon ?

Answers

Answer:

6F

Step-by-step explanation:

Let x be the temperature at noon

dropping means we subtract

The temperature at 9 pm was -4.  That goes on the right hand side of the equals

x-10 = -4

Add 10 to each side

x-10+10 = -4+10

x = 6

The temperature at noon was 6 F

Which equation is the inverse of 5y+4 = (x+3)^2 + 1/2?

Answers

Answer:

[tex]f^{-1}(x)=-3(+/-)\sqrt{\frac{10x+7}{2}}[/tex]

Step-by-step explanation:

we have

[tex]5y+4=(x+3)^{2}+\frac{1}{2}[/tex]

Exchange x for y and y for x

[tex]5x+4=(y+3)^{2}+\frac{1}{2}[/tex]

Isolate the variable y

[tex]5x+4-\frac{1}{2}=(y+3)^{2}[/tex]

[tex]5x+\frac{7}{2}=(y+3)^{2}[/tex]

[tex]\frac{10x+7}{2}=(y+3)^{2}[/tex]

Take square root both sides

[tex](y+3)=(+/-)\sqrt{\frac{10x+7}{2}}[/tex]

[tex]y=-3(+/-)\sqrt{\frac{10x+7}{2}}[/tex]

Let

[tex]f^{-1}(x)=y[/tex]

[tex]f^{-1}(x)=-3(+/-)\sqrt{\frac{10x+7}{2}}[/tex]

if x+3y=-2 and 2x-6y=-8, which of the following equation is true?

A) 3X-3Y=-6
B) 12y=4
C) x-9y=-10
D) 3X=5

Answers

Your answer is B) 12y = 4

You can find this by first rearranging the equation x + 3y = -2 to the form ‘x =‘:
x = -2 - 3y.

Then you can substitute this into the second equation, 2x - 6y = -8, and expand and solve:
2(-2 - 3y) - 6y = -8
-4 - 6y - 6y = -8
-12y = -4

Now because we know that -12y = -4, this is equivalent to 12y = 4, which is option B.

I hope this helps! Let me know if you have any questions :)

Final answer:

The correct equation is 3X-3Y = -6, Therefore option A is correct.

Explanation:

To find the correct equation, we can solve the given system of equations. We can do this by using the method of substitution or elimination. Let's use the method of elimination to solve the system.

Multiplying the first equation by 2 and the second equation by 3, we get:

2(x+3y) = 2(-2) ⟶ 2x + 6y = -4

3(2x-6y) = 3(-8) ⟶ 6x - 18y = -24

Adding these two equations together, we eliminate the variable 'x':

(2x + 6y) + (6x - 18y) = -4 + (-24)

8x - 12y = -28

Now, let's compare this equation to the options given. The correct equation is:

3X-3Y = -6

The air temperature at 2 pm was 12º. What was the air temperature at 8 pm, if it had dropped 15ºby
then?

Answers

Answer:

-3 degrees at 8 pm.

Step-by-step explanation:

That would be  12 - 15

= -3 degrees.

Answer:

-3

Step-by-step explanation:

The answer would be -3, because if it were to go down 15 degrees from when it was 2 PM. The equation you would have to do is 12 - 15. Which answsering that would be -3

What is the value of y in the solution to the system of equations?

x + y = 1

2x – 3y = –30

a. –8

b. –3

c. 3

d. 8

Answers

You can either multiply both equation by -2 or multiply both equations by 3 because when you multiply -2 you can eliminate x term
1. -2(x) -2(y) = -2(1) -> -2x -2y=-2

So far
-2x-2y=-2
+
2x-3y= -30

(-2x+2x) + (-2y-3y)= -32
0-5y = -32
Y= 32/5
Substitute y with 32/5

X+ 32/5= 1
Minus -32/5 over
X= -27/5

I don’t know why my answer doesn’t match with those answers above. I also checked by calculator. Did you write the question wrong?


Answer:

-8

Step-by-step explanation: I worked it out and I got -8 on a graphing calculator.

You have a map of an area in France. The scale used is 2cm:8km. You want to ride to a national park. The park is shown on the map as 16 cm away.
How far is that in kilometres?

Answers

Divide the distance on the map by 2 to get the number of 8km segments there are, then multiply that by 8km for total distance.

16 cm / 2cm = 8

8 x 8km = 64km total.

please help, see pic attachment

Answers

Answer:

the answer is 30

Step-by-step explanation:

because it is an equilateral triangle all sides are the same so if you set 3x+15 equal to 7x-5 and solve for x you get 4x=20 and x= 5

when you plug 5 in to each equation you get 30 for both sides and so it proves that the answer is 30

Solve for x.......................

Answers

Answer:

D) x = 40.5

Step-by-step explanation:

When parallel lines create a smaller triangle inside a larger triangle, the triangles are similar. Triangle similarity means that side lengths are proportional, meaning to find x we must use dimensions of the smaller triangle to create a proportion.

The left side of the larger triangle is 12 + 15, so it is 27.

The left side of the smaller triangle is 12.

So, part of the proportion will be [tex]\frac{27}{12}[/tex]

The bottom side of the larger triangle is x.

The bottom side of the smaller triangle is 18.

So, part of the proportion will be [tex]\frac{x}{18}[/tex]

The full proportion will be:

[tex]\frac{27}{12}=\frac{x}{18}[/tex]

Cross multiply and solve for x.

27(18) = 12x

486 = 12x

40.5 = x

The soccer team collected $800 at a car wash fundraiser. They charged $5 00 for small vehicles and $10 00 for larger
vehicles. The amount collected can be modeled by the equation 5x+10y 800, where x represents the number of small
vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small
vehicles were washed in total?

Answers

You are told Y is the number of large vehicles washed and that there were 50 large vehicles.

Replace Y with 50 in the given equation to solve for x ( the number of small cars.

5x + 10(50) = 800

5x + 500 = 800

Subtract 500 from both sides:

5x = 300

Divide both sides by 5:

x = 300/5

x = 60

There were 60 small cars washed.

Answer:

yes the answer would be B  

Find x in the following right triangle.

Helppp

Answers

Answer:

15 ft

Step-by-step explanation:

Use Pythagorean Thm. If I have two sides:

Then I do this to find the third:

If looking for leg, do sqrt(big square - small square)

If looking for hyp, do sqrt(leg square+leg square)

So what this means since x is a leg, I'm going to do sqrt(17^2-8^2)

17 was bigger than 8 that's why it went first

Anyways now we can just whip out the calculator

sqrt(17^2-8^2)=15

Since this is a right triangle you may use Pythagorean theorem which is [tex]a^{2} +b^{2} =c^{2}[/tex]

a and b are the legs (two sides that FORM the right angle) of the right triangle while c is the hypotenuse (the side that is opposite the right angle)

In this case...

a = x

b = 8

c = 17

Plug these numbers into the formula and solve for x

[tex]x^{2} +8^{2} =17^{2}[/tex]

[tex]x^{2}[/tex] + 64 = 289

[tex]x^{2}[/tex] + (64 - 64) = 289 - 64

[tex]x^{2}[/tex] = 225

To remove the squared from the x take the square root of both sides

x = 15

Hope this helped!

~Just a girl in love with Shawn Mendes

Who knows what the middle part is asking

Answers

Answer

I assume you're talking about 6-7, so on the left lines, you already did it, you just regularly subtract the numbers, and then on the right lines, you round the first problem to the nearest ten, remember five and up, round up, so for question 6 the new number model would be 90-40=50. since 93 rounds down to 90 and 38 rounds up to 40. continue to do that and write the entire model AND answer on the line to the right. hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

Estimate means put your calculator in a drawer or under a pillow. You are not going to use it.

The question means round to the nearest 10 (as it says)

One

93 rounds to 90   (93 is only 3  away from 90)

38 rounds to 40   (38 is very close to 40. You are only 2 away).

90 - 40 = 50

If you answer 55, you should get it wrong. That's not estimating.

Two

67 rounds to 70

49 rounds to 50

70 - 50 = 20        18 is just too exact.

Three

75 is very nasty. My call would be that you can call it 70 or 80. It all depends on what you have been told about 5s. On Brainly, I think you round up. So 75 become 80

27 rounds to 30

80 - 30 = 50  

The last one is all yours.

Which best describes the range of the function f(x) = (6)x after it has been reflected over the x-axis

Answers

Answer:

all real numbers

Step-by-step explanation:

Final answer:

The range of the function f(x) = (6)x after it has been reflected over the x-axis is the single value y = -6, which represents a horizontal line at that height.

Explanation:

The question asks about the range of the function f(x) = (6)x after it has been reflected over the x-axis. Since f(x) is a constant function, its graph is a horizontal line at the height of y = 6 for any value of x within the domain 0 ≤ x ≤ 20. When this function is reflected over the x-axis, the range becomes the set of values that f(x) takes on after the reflection, which would be a horizontal line at y = -6.

Now, let's formulate what happens after the reflection: If the original range of f(x) is a horizontal line at y = 6, then after reflecting over the x-axis, the new range will be a horizontal line at y = -6. Therefore, the range of the reflected function is the single value y = -6.

Learn more about Function Reflection here:

https://brainly.com/question/22702396

#SPJ2

the perimater of the triangle is 30cm. its sides are in the ratios 1:3:2, then find its sides​

Answers

Answer:

1 * 5 = 5cm

3 * 5 = 15cm

2 * 5 = 10cm

Step-by-step explanation:

1+3+2 = 6

then do 30 / 6  = 5 to find one part of the ratio

1 * 5 = 5

3 * 5 = 15

2 * 5 = 10

Answer:  The lengths of the sides of the triangle are:

____________________________________

                     " 5 cm, 15 cm, and 10 cm " .

____________________________________

Step-by-step explanation:

____________________________________

1x + 3x + 2x = 30 ;  

In which the sides are:

1x ;  3x,  2x ;  

Find:  1x  ; 3x;  and 2x .

____________________________________

Let us begin by finding "x" :

____________________________________

1x + 3x + 2x = 30

1x + 3x + 2x = 6x ;  

→  6x  =   30  ;

Divide each side of the equation by:  " 6 " ;

     to isolate "x" on each side of the equation; and to solve for "x" ;

 →  6x / 6  = 30 / 6 ;

to get:

 →   x  =  5  ;

______________________________________

Now, solve for the length of each side;

______________________________________

 1x  =     x   =   5 cm ;

 3x =  (3*5) = 15 cm ;

 2x  =  (2*5) =  10 cm ;

______________________________________

Answer:  The lengths of the sides of the triangle are:

                     5 cm, 15 cm, and 10 cm .

_______________________________________

Hope this helps!

       Best wishes to you in your academic pursuits

              — and within the "Brainly" community!

_______________________________________

What is the perimeter of a square with a side length of 5/7 units?

Answers

Final answer:

To calculate the perimeter of a square with a side length of 5/7 units, multiply the side length by 4 since all sides of a square are equal. The perimeter is 20/7 units.

Explanation:

The question asks, "What is the perimeter of a square with a side length of 5/7 units?" To find the perimeter of a square, we use the formula P = 4a, where P represents the perimeter and a is the length of one side of the square. Since all sides of a square are equal in length, if the side length is 5/7 units, the perimeter would be 4 times 5/7 units.

Performing the multiplication:

P = 4 × (5/7) units

P = (4 × 5) / 7 units

P = 20/7 units

Therefore, the perimeter of the square is 20/7 units.

if f(x) =5x-6 what is the inverse of f(x)

Answers

Replace f(x) with y:

y = 5x-6

Swith the variables:

x = 5y -6

Now solve for y:

add 6 to each side:

x +6 = 5y

Divide both sides by 5:

y = (x+6)/5

Now replace y with the inverse function f^-1 (x):

f^-1(x) = (x+6)/5

Answer:

See below attachment

Step-by-step explanation:

A p E x

Please help
I’m bad at this

Answers

Hello There!

The Answer Would Be 0.25

This is because you have to multiply your original number 5.8 by 0.25 to get the new dilation.

The scale factor is 0.25

Rewrite the following linear equation in slope intercept form.
Y-5=3(x+1)

Answers

Y=3x+8

Step-by-step explanation:

The slope is 3

Slope Intercept form is Y=Mx=b

We want to write the given equation in the form y = mx + b.

y-5 = 3(x+1)

y - 5 = 3x + 3

y = 3x + 3 + 5

y = 3x + 8

Done!

someone please please help!!

Answers

Answer:

- 2, 64, 0

Step-by-step explanation:

f(- 3) ← x < 0 ⇒ f(- 3) = - 3 + 1 = - 2

f(8) ← x > 0 ⇒ f(8) = 8² = 64

f(0) → x = 0

f(0) = 0² = 0

Which inequality does the graph below represent?

Answers

Answer:

A. [tex]y\le2x^2-8x+3[/tex]

Step-by-step explanation:

The given parabola has vertex at (2,-5).

The equation of this parabola in vertex form is given by:

[tex]y=a(x-h)^2+k[/tex], where (h,k)=(2,-5) is the vertex  of the parabola.

We substitute the values to get:

[tex]y=a(x-2)^2-5[/tex]

The graph passes through; (0,3).

[tex]3=a(0-2)^2-5[/tex]

[tex]\implies 3+5=4a[/tex]

[tex]\implies 8=4a[/tex]

[tex]\implies a=2[/tex]

Hence the equation of the parabola is

[tex]y=2(x-2)^2-5[/tex]

We expand this to get:

[tex]y=2x^2-8x+8-5[/tex]

[tex]y=2x^2-8x+3[/tex]

Since the outward region was shaded, the corresponding inequality is

[tex]y\le2x^2-8x+3[/tex]

The correct answer is A

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1. Write the equation of a line in slope-intercept form that has a slope of -1/4 and passes through the point (8, -1).2. Write the equation of a line in point-slope form that has a slope of -1 and passes through the point (-2, 5).These are my last 2 questions thank you everyone for all the help!! If the period of a simple pendulum is T and we increase its length so that it is four times longer, what will the new period be? T/4 It is unchanged. T/2 2T 4T Simplify the expression.the quantity x to the one fifteenth power end quantity to the power of 5 From a point P, two tangents PA and PBare drawn to a circle with center 0. If OP is equal to diameter of the circle, showthat triangle APB is equilateral. Please match the following.1. a school taught by a woman in her home2. a piece of needlework on which a girl showed the stitches she knew3. a social gathering for work4. a wooden frame with holes for a person's hands and feet5. any ban on a practice or on the use of something; prohibition6. a mixture of animal fats, refined for use in making candlestotallowstocksbeedame schoolsamplertaboo please could someone answer this Read this sentence:Kenneth stood with his classmates, a fully grown redwoodtree among a forest of saplings.Which statement best communicates the meaning of the metaphor in thesentence?A. The metaphor suggests that Kenneth is very young.B. The metaphor suggests that Kenneth is very old.C. The metaphor suggests that Kenneth is very strong.D. The metaphor suggests that Kenneth is very tall. Which of these is an example of a total institution?JailHigh schoolPolitical partyA gym Find the distance CA It is important to remember that in a supply? chain, the only source of revenue is the? _______.manufacturer/customer/raw material supplier/distributor/retailer what is the approximate area of a circle with a radius of 15 feet Please help with as much as you can. Thank you. Will give brainleistHorizontal gene transfer can occur through several mechanisms. Why is this relevant to humans? A. Bacteria can divide quickly using binary fission. B. Bacteria can exchange genes for resistance to antibiotics in this way. C. Viruses can infect bacteria, inserting their genetic material into the bacterial DNA. D. Bacteria are never beneficial to humans. Gene mutations can be passed on to future generations and drive natural selection. Choose the best description of how gene mutations are involved in evolution. A. All gene mutations are passed to future generations and over many generations will contribute to the evolution of new species. B. Gene mutations can be helpful, harmful, or neutral for an organism's survival. Only mutations that are helpful in the organism's environment would influence its survival and reproduction. C. Gene mutations often skip generations, with advantageous traits showing up several generations after the gene mutation was first introduced. D. Gene mutations can be dominant or recessive for an organism. Dominant genes will be adaptive for future generations, but recessive genes won't.Species can vary in several ways. Which of the following is one of Darwin's ideas that was accepted by most scientists of his time due to the large number of fossils being discovered at that time? A. Species vary around the world. B. Species have specific adaptations to their local environment. C. Species that live in seawater can also live on mountains. D. Species change over long periods of time.Dinoflagellates can perform photosynthesis and provide energy for themselves and for the coral that they live near. The coral provide protection to the dinoflagellates. This is an example of a A. parasitic relationship. B. commensalistic relationship. C. mutualistic relationship. D. dependent relationship.Plants can reproduce A. only by cutting or budding. B. only using pollination. C. sexually and asexually. D. constantly. The idea that viruses originated as genetic material that was able to move within a genome, eventually exiting a cell and entering another is the _______ hypothesis. A. coevolution B. regressive C. recessive D. progressiveThe wings of insects, birds, and bats evolved independently but carry out similar functions. This is an example of A. analogous structures. B. embryonic structures. C. vestigial structures. D. homologous structures. What is the correct name for the compound CoCl3?a) cobalt(I) chlorideB) cobalt(I) chlorateC) cobalt(II) chlorateD) cobalt(III) chloride Which shows a reasonable estimation for 124% of 42 using the distributive property? Determine the limiting reactant (LR) and the mass (in g) of nitrogen that can be formed from 50.0 g N204 and 45.0 g N2H4. Some possibly useful molar masses are as follows: N2O4 92.02 g/mol, N2H4 32.05 g/mol N204) 2 N2H4(1)3 N2(g) + 4 H2O(g) If x/9 < 2/5 and x is a positive integer, how many distinct values are possible for x? What is the EQUATION of a HORIZONTAL LINE passing through THE POINT (-7, 5)?A.y = 5B.y=-7C.x = 5D.x= -7 Compute the face value of a 90-day promissory note dated October 22, 2018 that has a maturity value of $76,386.99 and an interest rate of 7.5% p.a. find the values of angles x, y, and z. Which graph is a function of X? Explanation, please?