Which of the following list of ordered pairs is a function?

Which Of The Following List Of Ordered Pairs Is A Function?

Answers

Answer 1
C - remember the vertical line test determines if something is a function. A function has 1 x value for 1 y value. A B and D have more than one y value for a given x value.

Related Questions

A. Graph D B. Graph C C. Graph B D. Graph A

Answers

Answer:

The correct option is C

Step-by-step explanation:

The given equation is:

y  ≥ 2x - 3

For x= 2

y = 2(2) - 3 = 1

For x=0

y = 2(0) - 3 = -3

WE have two point:

(2,1) and (0,-3)

Graph both points on the coordinate plane.

Join both points and extend the line to find the graph of the line y = 2x - 3

To find the area the represents y  ≥ 2x - 3, consider any point, suppose (0,0)

Substitute (0,0) into  y  ≥ 2x - 3

0 ≥ 2(0) - 3

0 ≥ -3

Hence the equation satisfies.

Which means the area which has the point (0 , 0) shows the region for the equation y  ≥ 2x - 3.

The graph is shown.

solve the problem(3+4)⋅(22+3)

Answers

The answer to the problem is 175

Answer: 175

Step-by-step explanation:

Ok so remember PEMDAS (parentheses, exponents, multiplycation/division, addition/subtraction

so (3+4) and (22+3) are in perentheses so you must do those first: 3+4=7 and 22+3=25

ok so now you have (7)*(25) which equals 175

there u be go

Which scenario best matches the linear relationship expressed in the equation y = 13.50x + 300? 1. Bobby has $300 in the yearbook fund and spends $13.50 on each yearbook. 2. Bobby has $13.50 in the yearbook fund and spends $300 on each yearbook. 3. Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold. 4. Bobby has $13.50 in the yearbook fund and earns $300 for each yearbook sold.

Answers

Answer:

Choice 3: Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.

Step-by-step explanation:

From the equation y = 13.50x + 300, we can derive that:

300 is the initial value, or y-intercept.

13.50 is the rate of change, or slope.

Let's go through each choice and eliminate:

1. Incorrect, because spending $13.50 on each yearbook would mean a negative slope.

2. Incorrect, because the initial value is $300, not $13.50.

3. Correct, because $300 is the initial value and earning $13.50 means a positive slope.

4. Incorrect, because the initial value should be $300.

Therefore, choice 3 is the correct scenario.

which two of the following have the same value as 4.032?

Answers

Answer:D

Step-by-step explanation:

It’s D for sure

Answer:

A and D

Step-by-step explanation:

A. four and thirty-two thousandths. B (4 x 1) + ( 3 x 1/10) + ( 2 x 1/100). C. 4 ones + 3 tenths + 2 hundredths. D. 4 + 0.03 + 0.002

(These are the options for reference.) -->

We first need to know that, 4 = ones 0 = tenths 3 = hundreths 2 = thousandths

So, let's look at A. --> four and thirty-two thousandths --> we immediately know and this is correct as 1 because it says 4, and thirty-two thousandths = 0.032 so 4 + 0.032 = 4.032 and thus, it is correct

B. --> (4x1) + (3x1/10) + (2x1/100) => 4 + 3/10 + 2/100 = 4.32 so B. is incorrect.

C. --> 4 ones + 3 tenths + 2 hundredths = same as above, 4.32 so C. is incorrect as well.

D. --> We know this has to be correct because the question says which of the following 2 not 1 have the same value as 4.032 and -->

thus, A and D are our answers.

Hope this helps!

Solve −4(2x − 1) = −6(x + 2) − 2. (1 point)

Answers

Answer:

X=-4.525

Step-by-step explanation:

-4(2x-1)=-6(x+2)-2.1.

-8x+4=-12x-12-2.1.

-8x+12x=-14.1-4

4x=-18.1

X=-18.1/4

X=-4.525

heeeeeeeeeeeeeeeeelp

Answers

D Yes Bc it’s passes the vertical line test I think

3 - 9a =27 show work pls​

Answers

Hey there! :)

Answer:

a = -8/3

Step-by-step explanation:

Given:

3 - 9a = 27

Subtract 3 from both sides:

3 - 3 -9a = 27 -3

-9a = 24

Divide both sides by -9:

-9a/(-9) = 24/(-9)

a = -24/9

Simplify the fraction:

a = -8/3

Answer:

[tex]a = - \frac{8}{3} [/tex]

Solution,

[tex]3 - 9a = 27 \\ or \: - 9a = 27 - 3 \\ or \: - 9a = 24 \\ or \: a = \frac{24}{ - 9} \\ a = - \frac{8}{3} [/tex]

Hope this helps..

Good luck on your assignment..

Express $\sqrt{x} \div\sqrt{y}$ as a common fraction, given: $\frac{ {\left( \frac{1}{2} \right)}^2 + {\left( \frac{1}{3} \right)}^2 }{ {\left( \frac{1}{4} \right)}^2 + {\left( \frac{1}{5} \right)}^2} = \frac{13x}{41y} $

Answers

A common fraction is a fraction whose denominator is the same with another fraction.

[tex]$\sqrt{x} \div\sqrt{y}[/tex] as a common fraction is [tex]\sqrt \frac{x}{y}}[/tex]

The expression is given as:

[tex]$\sqrt{x} \div\sqrt{y}[/tex]

Express as fraction

[tex]$\sqrt{x} \div\sqrt{y} = \frac{\sqrt x}{\sqrt y}[/tex]

Rewrite as a common fraction

[tex]$\sqrt{x} \div\sqrt{y} = \sqrt \frac{x}{y}}[/tex]

Hence, [tex]$\sqrt{x} \div\sqrt{y}[/tex] as a common fraction is [tex]\sqrt \frac{x}{y}}[/tex]

Read more about common fractions at:

https://brainly.com/question/8672817

please help asap !!!!!!!!!

Answers

Answer:

D. 6\sqrt{5}-4\sqrt{7}

Step-by-step explanation:

[tex]3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28} \\3\sqrt{5}-2\sqrt{7}+\sqrt{9*5}-\sqrt{4*7}\\3\sqrt{5}-2\sqrt{7} +3\sqrt{5}-2\sqrt{7}\\ 6\sqrt{5}-4\sqrt{7}[/tex]

What are the differences and definitions of incenter, orthocenter, centroid, and circumcenter when dealing with triangles?

Answers

Answer:

The orthocenter is the point of intersection of the three heights of a triangle.

The centroid is the point of intersection of the three medians.

The circumcenter is the point of intersection of the three perpendicular bisectors.

The incenter is the point of intersection of the three angle bisectors.

Step-by-step explanation:

Consider the following position function. Find (a) the velocity and the speed of the object and (b) the acceleration of the object.


r(t) = (9,t^3, e^-t), for t greater than or equal to 0

Answers

Answer: v = 3t^2, -e^-t ;

Speed = √ 9t^4 + (-e^-t)^2 ;

a(t) = 6t, e^-t

Step-by-step explanation:

Given the position function at time 't' for t greater than or equal to 0:

r(t) = (9,t^3, e^-t)

The Velocity of 'v' is the first derivative of r with respect to 't' :

d/dt(9) = 0

d/dt(t^3) = 3t^3-1 = 3t^2

y = (e^-t) =

Using chain rule :

Let u = -t

y = e^u ; dy/du = e^u

du/dt = -1 ;

Therefore dy/dt = dy/du * du/dt

dy/dt = -1 * e^u ; -e^u ; u = -t

dy/dt = -e^-t

Therefore,

v = 3t^2, -e^-t

The magnitude of velocity 'v ' = speed

Speed = √v1^2 + v2^2

Speed = √(3t^2)^2 + (-e^-t)^2

Speed = √ 9t^4 + (-e^-t)^2

Acceleration(a) = derivative of velocity

d/dt(3t^2) = 6t

d/dt (-e^-t) :

Using chain rule :

dy/dt = -e^-t

Let u = -t ; du/dt = -1

-e^u ; dy/du = -e^u

Therefore, dy/dt = -1 * -e^u

u = -t

dy/dt = e^-t

Therefore, acceleration:

a(t) = 6t, e^-t

. (01.05) 1.Write the equation of a line with a slope of 4 and a y-intercept of −3. (2 points) A- 4x + y = −3 B-4x − y = −3 C- y = −3x + 4 D- y = 4x − 3 2. (01.05) Write the equation of the line that passes through (−1, 5) and has a slope of 3 in point-slope form. (2 points) A- x + 1 = 3(y − 5) B- x − 5 = 3(y + 1) C- y − 5 = 3(x + 1) D- y + 1 = 3(x − 5) 3. (01.05) Write the equation of the line that passes through (1, 5) and (−2, 14) in slope-intercept form. (2 points) A- y = 3x + 2 B- y = 3x + 8 C- y = −3x − 2 D- y = −3x + 8

Answers

Answer:

The correct option is 4.

Step-by-step explanation:

Step-by-step explanation:

The slope intercept form of a line is

                 .... (1)

where, m is slope and b is y-intercept.

We need to find the equation of line whose slope is 4 and y-intercept is -3.

Substitute m=4 and b=-3 in equation (1), to find the equation of required line.

The equation of required line is y=4x-3.

Therefore the correct option is 4.

What is the standard form of this function? f(x) = -(x − 4)2 + 2 A. f(x) = -x2 + 4x − 30 B. f(x) = x2 + 8x − 14 C. f(x) = -x2 + 8x − 14 D. f(x) = x2 + 4x − 30

Answers

Answer:

C

Step-by-step explanation:

Standard form is f(x) = ax² + bx + c.

f(x) = -(x - 4)² + 2

= -(x² - 8x + 16) + 2

= -x² + 8x - 16 + 2

= -x² + 8x - 14

Hi,

the correct answer is C

This is the correct equation: f(x) = -x^2 + 8x - 14

XD

P.S. (on the image I sent the answer was B but on your test the correct one is C. The equation is still the same.)

The following quadrilateral is a parallelogram.
S
T
3x - 8
x + 10
U
The length of side TU is __units long.​

Answers

Answer:

19 units

Step-by-step explanation:

In a parallelogram, opposite sides are congruent. So, we can set up a formula that looks like this: 3x - 8 = x + 10. When you solve for x, you'll get 9. 9 + 10 = 19 units

The length of the side TU of the parallelogram is 19 units long.

What is a parallelogram?

A parallelogram is a quadrilateral with opposite pair of sides parallel and equal.

How to solve the given question?

In the question, we are given a parallelogram STUV.

The length of the side TU is given as x + 10.

The length of the side VS is given as 3x - 8.

As the sides, TU and VS are opposite to each other, and the quadrilateral STUV is a parallelogram, so they are equal.

∴ TU = SV

or, x + 10 = 3x - 8

or, x + 10 - 3x = 3x - 8 - 3x (Subtracting 3x from both the sides)

or, -2x + 10 = -8 (Simplifying)

or, -2x + 10 - 10 = -8 - 10 (Subtracting 10 from both sides)

or, -2x = -18 (Simplifying)

or, -2x/(-2) = -18/(-2) (Dividing both sides by -2)

or, x = 9 (Simplifying).

Now, TU = x + 10 = 9 + 10 = 19.

∴ The length of the side TU of the parallelogram is 19 units long.

Learn more about parallelograms at

https://brainly.com/question/24056495

#SPJ2

50 points!!! What is the common ratio of the geometric sequence below? –2, 4, –8, 16, –32, ...

Answers

Answer:

-2

Step-by-step explanation:

each number is being multiplied by -2 to get to the next number

A. -4/2 but if you factor it it will be -2

THE IMAGE DOWN BELOW MATH PLEASE HELP ME WITH THIS ALEGEBRA IM CRYING YALL

Answers

Answer:

80%

Step-by-step explanation:

100/15=6 2/3

12*6 2/3 = 80

80 percent increase

Answer:

80%

solution,

Old price (P1)=$15

New price(P2)=$27

percent increase:

[tex]( \frac{p2 - p1}{p1} ) \times 100 \: percent \\ = ( \frac{27 - 15}{15} ) \times 100 \: percent \\ = ( \frac{12}{15} ) \times 100 \: percent \\ = 80 \: percent[/tex]

Hope this helps...

Good luck on your assignment...

TJ's Cat Food plans to use tins that are the shape of cylinders.
The internal measurements of a tin are shown.
8 cm
T
5 cm
I
b) Calculate the volume of cat food that the tin contains.
Round your answer to 1 decimal place

Answers

Answer:

V = 251.3 cm³

Step-by-step explanation:

Diameter  8 cm

Radius = 4 cm

Height = 5 cm

Volume of Cat Food contained by the tin can = [tex]\pi r^2 h[/tex]

Where r = 4 cm, h = 5 cm

V = (3.14)(4)²(5)

V = (3.14)(16)(5)

V = 251.3 cm³

Answer:

251.3 cm³

Step-by-step explanation:

The diameter is 8 cm

So the radius is 8/2 = 4 cm

The height is 5 cm

Volume of tin can:

[tex]\pi r^2 h[/tex]

r = 4 & h = 5

[tex]V =\pi (4)^2 (5)\\V = \pi (16)(5)\\V = 251.3[/tex]

Find the volume of a sphere 8 feet in diameter use 3.14 round your answer to the nearest tenth

(A) 150.7
(B) 267.9
(C) 83.7
(D)67.0

What one is it help me please

Answers

Answer:

B 267.9

Step-by-step explanation:

the formula is again the same, so you plug 4 in (because the radius is half the diameter) and solve to get around 267.9

Please help :) Is the relationship shown by the data linear? If so model the data with an equation.

Answers

Answer:

y-5=5/4(x-1)

Step-by-step explanation:

the slope is 1.25

m=y2-y1/x2-x1=10-5/5-1=5/4=1.25

y-5=(5)/(4)(x-1)=

y=(5)/(4)x+(15)/(4) this one is linear

it is a linear function and the

Knowing that 6 < x < 7 and 10 < y < 12, find the possible values of
x + y, y - x, xy, y/x

Answers

Answer:

x+y:

16<x+y<19

y-x:

3<y-x<6

xy:

60<xy<84

y/x:

10/7<y/x<2

Step-by-step explanation:

For x+y, it'll be

  6<x<7

+

  10<y<12

=16<x+y<19

____

y-x:

  10<y<12

--

  6<x<7

because of the negative sign the x inequality is reversed so it is -7<x<-6

and then you do the math and get 3<y-x<5

________

xy:

   10<y<12

x

   6<x<7

you multiply and get 60<xy<84

________

y/x:

  10<y<12

divided by

  6<x<7

now what you do is you have to switch around the signs for the x inequality and everything becomes its reciprocal. So the x inequality becomes 1/7<1/x<1/6 and then you multiply and get 10/7<y/x<12/6

Please give me a brainliest award. This took so long. I hope this helped.

Inequalities are used to make non-equal comparisons between two expressions. The inequality signs are: [tex]\ne, >, <, \ge, \le[/tex].

The solutions and possible values to the inequalities are:

[tex]16 < x + y < 19[/tex]  [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]

[tex]4 < y - x < 5[/tex]  [tex]\to[/tex]   [tex]y - x = \{4.5, ...,4.9\}[/tex]

[tex]60 < xy < 84[/tex]   [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]

[tex]1.67 < \frac{y}{x} < 1.71[/tex]  [tex]\to[/tex]  [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]

Given that:

[tex]6 < x < 7[/tex] and [tex]10 < y < 12[/tex]

To calculate the possible values of [tex]x + y[/tex], we simply add both inequalities; i.e.

[tex](6 < x < 7) + (10 < y < 12)[/tex]

This gives:

[tex]6 + 10 < x + y < 7 + 12[/tex]

[tex]16 < x + y < 19[/tex]

This means that the possible values of [tex]x + y[/tex] are between 16 and 19 (both exclusive). So, some possible values are:

[tex]x + y= \{17,18\}[/tex]

To calculate the possible values of [tex]y - x[/tex], we simply subtract the inequality of x from y; i.e.

[tex](10 < y < 12) - (6 < x < 7)[/tex]

This gives:

[tex]10 - 6 < y - x < 12 - 7[/tex]

[tex]4 < y - x < 5[/tex]

This means that the possible values of [tex]y - x[/tex] are between 4 and 5 (both exclusive). So, some possible values are:

[tex]y - x = \{4.5, ...,4.9\}[/tex]

To calculate the possible values of [tex]xy[/tex], we simply multiply both inequalities. i.e.

[tex](6 < x < 7) \times (10 < y < 12)[/tex]  

This gives:

[tex]6 \times 10 < x \times y < 7 \times 12[/tex]

[tex]60 < x \times y < 84[/tex]

[tex]60 < xy < 84[/tex]

This means that the possible values of [tex]xy[/tex] are between 60 and 84 (both exclusive). So, some possible values are:

[tex]xy = \{61,62,...83\}[/tex]

To calculate the possible values of [tex]\frac{y}{x}[/tex], we simply divide the inequality of y by x. i.e.

[tex](10 < y < 12) \div (6 < x < 7)[/tex]

This gives:

[tex]\frac{10}{6} < \frac{y}{x} < \frac{12}{7}[/tex]

[tex]1.67 < \frac{y}{x} < 1.71[/tex]

This means that the possible values of [tex]\frac{y}{x}[/tex] are between 1.67 and 1.71 (both exclusive). So, some possible values are:

[tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]

Hence, the solutions and possible values to the inequalities are:

[tex]16 < x + y < 19[/tex]  [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]

[tex]4 < y - x < 5[/tex]  [tex]\to[/tex]   [tex]y - x = \{4.5, 4.9...\}[/tex]

[tex]60 < xy < 84[/tex]   [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]

[tex]1.67 < \frac{y}{x} < 1.71[/tex]  [tex]\to[/tex]  [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]

Read more about inequalities:

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someone please explain this to me!! i don’t understand how they got this answer??

Answers

Answer [tex]67\leq t\leq 87=15[/tex]

Step-by-step explanation: It's asking for the range so you have to subtract the the lowest temp with the highest temp. The highest temp is 82 and the lowest 67. 82-67 is 15 but they asked you to write it inequality so [tex]67\leq t \leq 87 = 15[/tex]

Find the smallest number by which 8788 must be multiplied so that the quotient is a perfect cube. Also, find the cube root of the perfect cube so obtained.​

Answers

Answer:

Hi ,

Cube of a number :

_______________

For a given number x we define cube

of x = x × x × x , denoted by x^3.

A given Natural number is a perfect

Cube if it can be expressed as the

product of triplets of equal factors.

Now ,

Write given number as product of

prime .

8788 = 2 × 4394

= 2 × 2 × 2197

= 2 × 2 × 13 × 169

= 2 × 2 × 13 × 13 × 13

= 2 × 2 × ( 13 × 13 × 13 )

Here we have only triplet of equal

factors i.e 13

To make 8788 into perfect Cube we

have multiply with 2.

Now ,

2 × 8788 = ( 2 × 2 × 2 ) × ( 13 × 13 × 13 )

17576 = ( 2 × 13 )^3 = ( 26 )^3 perfect

Cube

I hope this will useful to you.

Which points lie on the line that passes through point P and is parallel to the given line? Select three options. (–4, 2) (–1, 3) (–2, 2) (4, 2) (–5, –1)

Answers

Answer:

So we have (-1,3), (-2,2) and (-5,-1).

Step-by-step explanation:

So we need to find the equation of the line that is parallel to the blue line going through point P.

The slope of the blue line (count the rise/run) is 1/1=1.

Parallel lines have the same slope.  

So y=mx+b is the slope-intercept form where m is the slope and b is the y-intercept.

So since the blue line has slope 1 and parallel lines have the same slope then the line going through point P will have slope 1 too.

Point P is actually the y-intercept of the line going through P.

So the equation that is parallel to the blue line going through point P is y=1x+4. b was 4 because it was the y-intercept.

You can also just write y=1x+4 as y=x+4.

Testing the points:

(-4,2)?

Does y=x+4 for this point?  2=-4+4 which gives us 2=0 so no for this point.

(-1,3)?

Does y=x+4 for this point?  3=-1+4 which gives us 3=3 so yes for this point.

(-2,2)?

Does y=x+4 for this point?  2=-2+4 which gives us 2=2 so yes for this point.

(4,2)?

Does y=x+4 for this point?  2=4+4 which gives us 2=8 so no for this point.

(-5,-1)?

Does y=x+4 for this point?  -1=-5+4 which gives -1=-1 so yes for this point.

So we have (-1,3), (-2,2) and (-5,-1).

(-1,3) (-2,2) and (-5,-1)

plz help me calculate this

Answers

Answer:

17

Step-by-step explanation:

the rise is the new minus the old.

9 - -8 = 9+8 = 17

Answer:

rise in temp= 17℃

Step-by-step explanation:

midnight= -8℃

noon= 9℃

9- (-8)= 17

rise in temp= 17℃

or you could just count the difference on your fingers.

-8, -7 ,-6........ 6, 7,8,9

Suppose 40 bikes stand near a playground. Some of them are bicycles, some of them are tricycles, and two of them have four wheels. John counts all the wheels and gets 100, in total. How many tricycles are there?

Answers

Answer:

16 tricycles

Step-by-step explanation:

First, let's make a chart:

Bicycles- x bicycles and 2x wheels

tricycles- y tricycles and 3x wheels

Four wheeled vehicles- 2 bikes (given), 8 wheels

Since the total amout of bikes is 40, that means that x+y+8=40

You can simplify that to x+y=38.

now, we're going to form another equations dealing with the number of wheels.

Since we know that four wheeled vehicles already have only 8 wheels, then that means 2x+3y=92

Solve the system of equations:

2x+3y=92

x+y=38

y will be 16

Step-by-step explanation:


21. The difference between two numbers is 29. If five times the smaller is subtracted from twice the larger,
the result will be one. What is the larger number?

Answers

Answer: 48

Step-by-step explanation:

We have to write a system of equations:

The difference between two numbers is 29. Difference means one number (y) minus another number (x) equals 29.

y-x =29

If five times the smaller ( 5 times x , x is the smaller number because is the number to subtract) is subtracted from twice the larger, (2y)

The result will be one

2y-5x =1

Now, we have to multiply the first equation by 2, and subtract the second equation to the first one:

2y -2x = 58

-

2y-5x =1

__________

3x =57

Solve for x:

x =57/3 =19

Replacing the value of x on any equation:

y-x =29

y-19 =29

y = 29+19 = 48

48 (y)> 19(x)

Feel free to ask for more if needed or if you did not understand something.  

Brittney is making a graph of the exam scores in intervals of ten for a group of students. Which type of graph would be the most appropriate for Brittney to use? A. line graph B. Venn diagram C. histogram D. circle graph

Answers

Answer: she needs histogram.

Answer: Brittney needs a Histogram.

Please help with this

Answers

Answer:

A

Step-by-step explanation:

AA stands for angle angle.

For the two triangles given being similar by AA, they should have two equal angles. Of course, once two angles are equal the third one will be equal as well, once the angles of a triangle always add up to 180º.

Therefore, the angle ∠NMO and ∠QPR should be equal.

simplify the following surds √32​

Answers

Answer:

5.65685424949

Step-by-step explanation:

Answer:

The answer is 5.7

Step-by-step explanation:

square root of 32

√32→ 32 isn't a perfect square so you would only be able to put it into mixed radical form and/or decimal

√(16×2) →break 32 into 2 products, one of which is a perfect square, being 16

√16•√2 → now square 16

4√2 → in mixed radical form  

4(1.414213) → multiply

5.65685424 →decimal form

Let f be defined as shown.
What is f^-1(-2)?

Answers

Answer:

[tex]\boxed{\sf \ \ \ f^{-1}(-2)=-2\ \ \ }[/tex]

Step-by-step explanation:

hello

in the output check where you can see -2

and then follow the arrow to find the corresponding item in input which is -2

hope this helps

Other Questions
3x square + 4 x minus 15 is equals to zero can someone simplify (3x)^4 Fill in the blanks with appropriate wods.1. A process called__________ helps to propel first the bolus and then chyme forward through the esophagus, stomach, and small intestine.2. Nutrients are absorbed through the lining of the small intestine via a variety of mechanisms. Most nutrients require______________ , where a specific carrier protein is utilized, but no energy is required.3. Some smaller molecules can cross via_____________ , Like with facilitated diffusion, no energy is required because the concentration of a nutrient is higher inside the GI tract than in the enterocyte. Unlike with facilitated diffusion, however, no ____________ is needed.4. Nutrients like glucose and amino acids are absorbed through ______________ , which requires both a carrier protein and energy in the form of ATP.5. A fourth method is called _____________ , which involves a vesicle that forms from the enterocyte's cell membrane, engulfing the nutrient and then drawing the nutrient into the cell.6. Once absorbed, water-soluble nutrients like carbohydrates and amino acids enter capillaries and travel to the liver via the ___________ .7. Fat-soluble nutrients initially travel via the _____________ before entering the bloodstream.8. Most water is absorbed in the _____________ , and solid waste is then eliminated.a. Large intestine b. Peristalsis c. Passive diffusion d. Carrier protein e. Active transport f. Facilitated diffusion g. Endocytosis h. Lymphatic system i. Hepatic portal vein pwease jelp, I triedFour circles of equal radii are centered at the four vertices of a square. These 4 circles touch a fifth circle ofequal radius placed inside this square. The ratio of the shaded area of the circles to the un-shaded area of thecircles is....A) 5:2B) 2:3 3:2D) 2:5 Choose the incorrect statement regarding how the nervous system coordinates homeostasis in the body. Multiple Choice Through sense organs and simple sensory nerve endings, the nervous system receives information about changes in the body and the external environment and transmits coded messages to the spinal cord and brain. The spinal cord and brain process information without regard to past experiences, and determine what response, if any, is appropriate to the circumstances. You are interested in purchasing a new car. One of the many points you wish to consider is the resale value of the car after 5 years. Since you are particularly interested in a certain foreign sedan, you decide to estimate the resale value of this car with a 95% confidence interval. You manage to obtain data on 17 recently resold 5-year-old foreign sedans of the same model. These 17 cars were resold at an average price of $ 12 comma 100 with a standard deviation of $ 800. What is the 95% confidence interval for the true mean resale value of a 5-year-old car of this model? A farmer plans to install solar collection panels to provide winter heating for the livestock. Themost efficient panel angle for winter heating in the farm's region is 60 relative to ground level. Ifan individual panel is 67 inches (in) long and installed on the ground according to theseinstructions, what is the height, in in, of the upper edge above the ground? Simplify the ratio 5m:240cm What is the slope of a line that is perpendicular to the line whose equation is 2x+7y=5? Which represents the greatest time frame in which a short-term environmental change can occur?in days in minutesover hundreds of yearsover thousands of years Which of the following correctly uses a semicolon? (5 points) After I bought the book; I started to read right away. The characters were; in my opinion; very realistic. This is the third book in the series; which I really love. The author has written four other books; this is book five. If h is a function and -7 is an element in its domain, then which of the following statements correctly describes the expression h(-7)? A cylindrical tank is required to contain a gage pressure 560 kPa . The tank is to be made of A516 grade 60 steel with a maximum allowable normal stress of 150 MPa . If the inner diameter of the tank is 3 m , what is the minimum thickness, t, of the wall Read and choose the correct option to complete the sentence. Claudia pidi ________ para poner sus pulseras y aretes. una caja fuerte una llave tarjeta un servicio de habitacin un artculo de aseo What is the English name of the painting above? Rebecca collected data from a random sample of 500 homeowners in her state asking whether or not they use electric heat. Based on the results, she reports that 51% of the homeowners in the nation use electric heat. Why is this statistic misleading? Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis).The test statistic in a two-tailed test is z = -1.63.a. 0.1031; fail to reject the null hypothesisb. 0.0516; reject the null hypothesisc. 0.9484; fail to reject the null hypothesisd. 0.0516; fail to reject the null hypothesis A certain board game uses two standard six-sided dice. Each player rolls the dice and advances a number of squares equal to the sum of the values on the dice. If the player rolls doubles (two dice with the same value) on the first roll, the player is allowed to roll again. Similarly, if he rolls doubles on the second roll, he is allowed a third roll. If he rolls doubles on the third roll, he receives a penalty. What is the probability that a player will receive such a penalty on any given turn? Iodine is used to detect and treat thyroid cancer. When iodine-131 gives off a beta particle, what is the new isotope called? if a red blood cell has a solute concentration of 0.9%, then what would be the solute concentration of an isotonic solution?