Cells lining the gut need to take in glucose but at a certain time, the concentration of extracellular glucose is lower than the concentration already stored in cells. What process is needed here?


Simple diffusion

Active transport

Facilitated diffusion

Anya do best in Science test.

Since, A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

Anya achieved 15 out of 22 for her English test and 40 out of 57 for her Science test.

Since, both subjects were equally difficult.

Hence, We can find the percentage of above score as;

For English test, score is,

⇒ 15/22 × 100

⇒ 0.6818 x 100

⇒ 68.2%

And, For Science test, score is,

⇒ 40/57 × 100

⇒ 0.7017 x 100

⇒ 70.1%

Hence, Anya do best in Science test.

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Answer:

X=2

Step-by-step explanation:

X=?

Y=?

(x+1)(9)=27

Divide both sides by 9

(x+1)\ *9 divided by 9, 27/9

Simplify

x+1=3

Subtract 1 from both sides

x+1-1=3-1

Simplify

x=2

Answer:

(150*85)*0.9

=12750*0.9

=11475

Answer:

11475

Step-by-step explanation:

((50+50+50)*85)*0.9=

(150*85)*0.9=

12750*0.9=

11475

Since the microwave raises the temperature of water by about 80°F in 5 minutes, the graph that has the slope that represents this rate of increase is option A.

Temperature is seen as a given unit used to stand for hotness as well as the coolness  of a given object or thing, it is said to be mostly  in Fahrenheit as well as Celsius.

Based on temperature, heat energy is one that tends to shift from a hotter  part of a body  to a colder part of the same body.

Note that:

Temperature = 80

Minutes = 5

Y = m

5m  = 80

m = 80/5

m = 16

So y  = 16x

Therefore, the graph that can give you the value above is graph A.

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Answer:

2*(-3)= -6

Step-by-step explanation:

I do not see how "a*b=2a-3b" would change the fact 2 times negative 3 is -6

Answer:

I cant see the picture

Step-by-step explanation:

I cant see the picture

a) The intersection point (2,1,1) which is not a collision point since the two curves do not have the same tangent vector at that point.

b) the equation of the line that goes through the intersection point and is orthogonal to both curves at that point,

-5(x - 2) - 2cos(1)(y - 1) = 0

Now, We can simplify as,

a. The intersection point of the two vector functions, we need to solve the equation:

r₁(t) = r₂(t)

We can write this as three separate equations:

cos t = 1 + t

sin t = t²

t = t³

Hence, From the third equation, we can see that t = 0 or t = 1.

If t = 0, then the first two equations give us:

cos(0) = 1 + t

1 = 1 + t

And, sin(0) = 0

0 = t

This leads to the trivial solution (0,0,0) which is not a collision point since the two curves do not intersect at t=0.

If t = 1, then we have:

cos(1) = 2

sin(1) = 1

1 = 1  

This gives us the intersection point (2,1,1) which is not a collision point since the two curves do not have the same tangent vector at that point.

b. To find the equation of the line that goes through the intersection point and is orthogonal to both curves at that point, we need to find the tangent vectors of the two curves at the intersection point.

The tangent vector of r1(t) at t=1 is given by:

r₁'(t) = (-sint, cost, 1)

So, r₁'(1) = (-sin(1), cos(1), 1)

The tangent vector of r₂(t) at t=1 is given by:

r₂'(t) = (1, 2t, 3t)

So, r₂'(1) = (1, 2, 3)

Now, we can find the normal vector of the plane that contains both tangent vectors by taking the cross product:

n = r₁'(1) x r₂'(1) = (cos(1) - 6t, -sin t - 3t, 2t - 2cost)

n = (-5, -2cos(1), 0)

Since, n is orthogonal to both tangent vectors.

Therefore, the line we seek is the intersection of the plane that contains both tangent vectors and the plane that contains the intersection point and is orthogonal to n.

The first plane has equation:

r = (2,1,1) + s(-sin(1), cos(1), 1)

The second plane has equation:

n . (r - (2,1,1)) = 0

Substituting for n and simplifying, we get:

-5(x - 2) - 2cos(1)(y - 1) = 0

Thus, the equation of the line that goes through the intersection point and is orthogonal to both curves at that point,

-5(x - 2) - 2cos(1)(y - 1) = 0

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Answer:

Step-by-step explanation:

g(x) = (-x)1/2

Answer:

There right there u don't see it?

Answer:

C. m < 1 + m < 2 = 90

Step-by-step explanation:

It is clear that the line separating angles 1 and 2 is a perpendicular bisector, which means that the measures of angles 1 and 2 must add up to 90.

To check that x = 49, we can use the equation x + x - 8 = 90 and solving for x gives us 49.

Answer:

These are the missing numbers

Sec1

A. 12, 29/2, 17 (arithmetic)

C. 3/16, 3/32, 3/64 (geometric)

D. 17, 33, 65 (neither)

Sec2

A. 8, 48 (growth)

B. 16, 32 (growth)

C. 1, 2 (rate)

Step-by-step explanation:

Section 1

A. add by 2.5 or 5/2

C. multiply by 1/2

D. double the value-added

Section2

A & B. multiply by 2

C. add 1/2

The four consecutive even integers are 28, 30, 32 and 34.

Given that, four consecutive even integers.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the four consecutive even integers are x+1, x+3, x+5 and x+7.

2 times the sum of the first and second is 14 more than 3 times the fourth, we get

2(x+1+x+3)=3(x+7)+14

⇒ 4x+8=3x+21+14

⇒ 4x+8=3x+35

⇒ 4x-3x=35-8

⇒ x=27

So, four consecutive even integers are 28, 30, 32 and 34

Therefore, the four consecutive even integers are 28, 30, 32 and 34.

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Answer: tan A=4/3

Step-by-step explanation:

Theo đề ta có: 5sinA=4 suy ra: sinA=4/5, mà ta đã biết là: sinA= cạnh đối/cạnh huyền, suy ra: cạnh đối của góc A =4, cạnh huyền =5

Áp dụng định lí py ta go ta đc:

5^2=4^2+x^2

=) x=3

Vậy cạnh kề của góc A=3

Mà tanA = cạnh đối/cạnh kề

Vậy giá trị của tanA=4/3

(bạn vẽ hình ra thì có thể nhìn rõ hơn đấy, cảm ơn bạn đã tham khảo câu trả lời của mik)

The ratio that best represents the value of pi is equal to 67.23/21.4

We have known that the circumference of a circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

We are given that circumference of a circular disc is approximately 67.23 cm,

The diameter of a disc is; 21.4 cm

2πr = 67.23

67.23  = 2 x πx 21.4/2

67.23  =  π x 21.4

π = 67.23/21.4

Therefore, the ratio best represents the value of pi is 67.23/21.4

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Answer:

156

Step-by-step explanation:

Answer:

Step-by-step explanation:

complex numbers , real numbers , rational numbers , natural numbers , whole numbers

The mean absolute deviation for the group of household incomes is approximately 14.8 (rounded to the nearest tenth).

To calculate the mean absolute deviation (MAD) for a group of data, we follow these steps:

Find the mean (average) of the data set.

Subtract the mean from each data point, obtaining the deviations.

Take the absolute value of each deviation.

Find the mean of the absolute deviations.

Given the household incomes for 10 different households:

38, 45, 76, 93, 50, 54, 29, 44, 62, 31

Let's calculate the MAD step by step:

Find the mean (average):

Mean = (38 + 45 + 76 + 93 + 50 + 54 + 29 + 44 + 62 + 31) / 10

Mean = 482 / 10

Mean = 48.2

Calculate the deviations:

Deviation for each data point = Data point - Mean

Deviation for 38 = 38 - 48.2 = -10.2

Deviation for 45 = 45 - 48.2 = -3.2

Deviation for 76 = 76 - 48.2 = 27.8

Deviation for 93 = 93 - 48.2 = 44.8

Deviation for 50 = 50 - 48.2 = 1.8

Deviation for 54 = 54 - 48.2 = 5.8

Deviation for 29 = 29 - 48.2 = -19.2

Deviation for 44 = 44 - 48.2 = -4.2

Deviation for 62 = 62 - 48.2 = 13.8

Deviation for 31 = 31 - 48.2 = -17.2

Take the absolute value of each deviation:

Absolute deviation for each data point = |Deviation|

Absolute deviation for -10.2 = 10.2

Absolute deviation for -3.2 = 3.2

Absolute deviation for 27.8 = 27.8

Absolute deviation for 44.8 = 44.8

Absolute deviation for 1.8 = 1.8

Absolute deviation for 5.8 = 5.8

Absolute deviation for -19.2 = 19.2

Absolute deviation for -4.2 = 4.2

Absolute deviation for 13.8 = 13.8

Absolute deviation for -17.2 = 17.2

Find the mean of the absolute deviations:

Mean Absolute Deviation (MAD) = (10.2 + 3.2 + 27.8 + 44.8 + 1.8 + 5.8 + 19.2 + 4.2 + 13.8 + 17.2) / 10

MAD = 148 / 10

MAD = 14.8

To the nearest tenth, this means that the mean absolute deviation for the group of household incomes is around 14.8.

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Answer:

The answer is C: 3/4

Step-by-step explanation:

Your equation is equal to (3/2)/(4/2) due to absolute value (all numbers are positive even if negative symbol is infront of it) which is equal to 3/4.

Step-by-step explanation:

what is the real problem definition ?

is there now an absolute value around the top "-2", or not ?

in any case, remember, when we divide 2 rational numbers like this :

a/b / c/d

the result is

"outer multiplication" over "inner multiplication" :

a×d / b×c

as alternative you can always also say

a/b / c/d = a/b × d/c = a×d / b×c

so,

if the problem is

3/-2 / |-4/-2|

the result is

3×2 / 4×-2 = 6/-8 = - 3/4

if the problem is

3/|-2| / |-4/-2|

the result is

3×2 / 4×2 = 6/8 = 3/4

please pick the solution based on the actual problem.

All the points in both sets satisfy the constraints, the feasible solution is α = (1, 0, 0, 0) and β = 0. This plane separates the sets S1 and S2.

To formulate the problem as a linear optimization problem (LO), we can introduce slack variables to represent the signed distances of the points from the plane αTx = β. Let's denote the slack variables as y_i for points in S1 and z_i for points in S2.

1.1 Formulation:

The problem can be formulated as follows:

Minimize: 0 (since it is a feasibility problem)

Subject to:

α1x1 + α2x2 + α3x3 + α4x4 - β ≥ 1 for (x1, x2, x3, x4) in S1

α1x1 + α2x2 + α3x3 + α4x4 - β ≤ -1 for (x1, x2, x3, x4) in S2

α1, α2, α3, α4 are unrestricted

β is unrestricted

y_i ≥ 0 for all points in S1

z_i ≥ 0 for all points in S2

The objective function is set to 0 because we are only interested in finding a feasible solution, not optimizing any objective.

1.2 Finding a feasible solution:

To find a feasible solution for this linear optimization problem, we need to check if there exists a plane αTx = β that separates the given sets of points S1 and S2.

Let's set α = (1, 0, 0, 0) and β = 0. We choose α to have a non-zero value for the first component to satisfy α ≠ (0, 0, 0, 0) as required.

For S1:

(1, 2, 1, -1) - 0 = 3 ≥ 1, feasible

(3, 1, -3, 0) - 0 = 4 ≥ 1, feasible

(2, -1, -2, 1) - 0 = 0 ≥ 1, not feasible

(7, -2, -2, -2) - 0 = 3 ≥ 1, feasible

For S2:

(1, -2, 3, 2) - 0 = 4 ≥ 1, feasible

(-2, π, 2, 0) - 0 = -2 ≤ -1, feasible

(4, 1, 2, -π) - 0 = 5 ≥ 1, feasible

(1, 1, 1, 1) - 0 = 4 ≥ 1, feasible

Since all the points in both sets satisfy the constraints, the feasible solution is α = (1, 0, 0, 0) and β = 0. This plane separates the sets S1 and S2.

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Answer:

Step-by-step explanation:

Aright! I can give you the definitions first and the difference next.

Postulates: Are statements in math that give a belief without being proved or testified. This means that they may be some inaccuracies. They are also starting points for creating new formulas and theorems. They have the purpose if explaining undefined answers through no evidence.

Theorems: On the other hand theorems have been proved exactly by experts and can be stated and summarized without question. This means that there is almost no question about the theorems. It has a logical backup from the step of postulates.

The differences can be searched from definitions!!

Thnx for the question

Answer:

The answer is D

Step-by-step explanation:

I just did this

The figure which has rotational symmetry is figure A.

It is the property of a shape that it looks same after some rotation by a partial turn.

In the figure given first shape has equal length of sides at each direction which means that if we rotates this figure then we will get same looking figure.

In the second figure when we rotates the figure vertically the it will look like a tower.

When we rotates the third figure they also look different.

In the graph figure are shown after some rotation.

Hence among all the figures given first figure has rotational symmetry.

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The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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The rate of discount is approximately 6.4%.

Given that, the purchase at the store "Tias" come to $428.85 before any discounts and before any taxes.

The total price after a discount and taxes of 13% was $452.98.

The formula to find out the rate of discount is `tag=(1+r*t)(1-r*j)*p`, where `tag` is the total price after a discount and taxes, `p` is the initial price, `r` is the rate of discount, `t` is the tax rate, and `j` is the rate of tax.

So we can say that `452.98=(1-r*0.13)(1+r*0)*428.85`

On solving, we get, `r≈6.4%`

Hence, the rate of discount is approximately 6.4%.

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Answer:

  B. at an x–intercept

Step-by-step explanation:

You can find a graph of the sine function in numerous places.

  y = sin(0) = 0

  y = 0 for x = 0

so, on the given interval, it starts at an x-intercept.

To find the probabilities, we will use the conditional probability formula:

P(A ∩ B) = 0.66 * 0.51

= 0.3366.

P(A' ∩ B) = P(A') * P(B | A')

= 0.34 * 0.27

= 0.0918.

P(B) = 0.3366 + 0.0918

= 0.4284.

P(A | B) = P(A ∩ B) / P(B). P(A | B)

= 0.7851.

1. P(A ∩ B): We need to find the probability of events A and B occurring together. Since we are given P(A) and P(B | A), we can calculate P(A ∩ B) using the formula P(A ∩ B) = P(A) * P(B | A).
  P(A ∩ B) = 0.66 * 0.51 = 0.3366.

2. P(A' ∩ B): We need to find the probability of event A' (not A) and B occurring together. Since we are given P(B | A') and P(A'), we can calculate P(A' ∩ B) using the formula P(A' ∩ B) = P(A') * P(B | A').
  To find P(A'), we subtract P(A) from 1: P(A') = 1 - P(A) = 1 - 0.66 = 0.34.
  P(A' ∩ B) = P(A') * P(B | A') = 0.34 * 0.27 = 0.0918.

3. P(B): We need to find the probability of event B occurring. We can use the Law of Total Probability: P(B) = P(A ∩ B) + P(A' ∩ B).
  P(B) = 0.3366 + 0.0918 = 0.4284.

4. P(A | B): We need to find the probability of event A occurring given that B has occurred. Using the conditional probability formula, P(A | B) = P(A ∩ B) / P(B).
  P(A | B) = 0.3366 / 0.4284 = 0.7851.

To summarize:
- P(A ∩ B) = 0.3366
- P(A' ∩ B) = 0.0918
- P(B) = 0.4284
- P(A | B) = 0.7851.

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The probabilities are as follows, P(B) = 0.5032 and P(A | B) = 0.6686. To find the requested probabilities, we can use the conditional probability formula: P(A | B) = P(A and B) / P(B)

Let's calculate each probability step by step:
1. P(B and A): This represents the probability of both events B and A happening simultaneously. Since P(B | A) = 0.51, we can use this value along with P(A) = 0.66 to calculate P(B and A):
P(B and A) = P(B | A) * P(A) = 0.51 * 0.66 = 0.3366
2. P(B and A complement): This represents the probability of event B happening while A does not happen. We can use P(B | A complement) = 1 - P(B | A) = 1 - 0.51 = 0.49 to calculate P(B and A complement):
P(B and A complement) = P(B | A complement) * (1 - P(A)) = 0.49 * (1 - 0.66) = 0.1666
3. P(B): This represents the probability of event B happening. We can calculate this using the law of total probability:
P(B) = P(B and A) + P(B and A complement) = 0.3366 + 0.1666 = 0.5032
4. P(A complement): This represents the probability of event A not happening. We can calculate this by subtracting P(A) from 1:
P(A complement) = 1 - P(A) = 1 - 0.66 = 0.34
5. P(B | A complement): This represents the probability of event B happening given that event A does not happen. We are given that P(B | A complement) = 0.27, so no further calculation is needed.
Now, we can find the remaining probability:
6. P(A | B): This represents the probability of event A happening given that event B happens. We can calculate this using the conditional probability formula:
P(A | B) = P(A and B) / P(B) = 0.3366 / 0.5032 = 0.6686

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Answer:

JK = 18

Step-by-step explanation:

LK = x - 1

KJ = x + 11

LJ = LK + KJ = x - 1 + x + 11

-> LJ = 2x + 10

LM = 12

By tangent secant segment theorem:

\(LK \times LJ = JM^2 \\ \\ \implies \: (x - 1)(2x + 10) = {(12)}^{2} \\ \\ \implies \: x (2x + 10) - 1(2x + 10) = 144\\ \\ \implies \: 2x^{2} + 10x - 2x - 10 - 144 = 0\\ \\ \implies \: 2x^{2} + 8x - 154 = 0\\ \\ \implies \: 2(x^{2} + 4x - 77) = 0\\ \\ \implies \: x^{2} + 4x - 77 = 0\\ \\ \implies \: x^{2} + 11x - 7x- 77 = 0\\ \\ \implies \: x(x + 11) - 7(x + 11) = 0\\ \\ \implies \: (x + 11) (x - 7) = 0 \\ \\ \implies \: (x + 11) = 0 \: \: or \: \: (x - 7) = 0 \\ \\ \implies \: x = - 11 \: \: or \: \: x = 7 \\ \\ x \: can \: not \: be \: negative \\ \implies \: x \neq \: - 11 \\ \\ \implies \: x = 7 \\ \\ \implies \: JK = x + 11 = 7 + 11 \\ \\ \implies \: \huge \: { \orange{JK =18}}\)

Hope it helps you in your learning process.

Have a great day ahead.

Answer:

y = 1/2x + 2

Step-by-step explanation:

2x + y = 2

y = -2x + 2

y = 1/2x + b

3 = 1/2(2) + b

3 = 1+b

2 = b