When glucose acts on pancreatic-beta cells, what is (activated)
responsible for the depolarization of the membrane that ultimately
leads to insulin secretion?

Answer:

4^3 or four to the third power or four cubed.

The reason is, 4*4*4 = 64

16*4 = 64

Step-by-step explanation:

Answer:

4^3

Step-by-step explanation:

This is because we need to calculate how many 4s multiply to get 64.

So that is 4 x 4 x 4

4 x 4 is 16 and then 16 x 4 = 64

And since we have 3 4s then we need to write it in power form which is: 4^3

Hope that helped

Based on these results, we would conclude that on average, the population of all ferrets tend to decrease in weight when exposed to the virus.

Based on the results of the hypothesis test in part (b) and the confidence interval in part (c), we can conclude that the population mean weight of ferrets tends to decrease when exposed to the virus.

In part (b), we found that the p-value was less than the significance level of 0.05, which means that we reject the null hypothesis that the mean weight of ferrets is not affected by the virus. This indicates that there is strong evidence that the virus has a significant effect on the weight of ferrets.

In part (c), we constructed a 95% confidence interval for the difference between the mean weight of ferrets before and after exposure to the virus. The interval was (−0.643,−0.057), which does not contain 0. This means that we are 95% confident that the true difference between the mean weights is negative, indicating that the weight tends to decrease after exposure to the virus.

Therefore, based on these results, we would conclude that on average, the population of all ferrets tend to decrease in weight when exposed to the virus.

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Step-by-step explanation:

1) positive

2) negitive

3) positive

4) positive

i dont know if its correct

Answer:

Step-by-step explanation:

Tom wanted to find the inverse of f(x)= 4x - 2 using the steps in the attached image.

Tom's first mistake was in Step 3.

To correct the mistake, he should not switch the variables.

The correct procedure is:

Step 1 : Given

f(x) = 4x - 2

Step 2 : Change f(x) to y

y = 4x - 2

Step 3 : Add 2 to both sides

\(4x=y+ 2\)

Step 4:  Divide each side by 4

\(x=\dfrac{y+2}{4}\)

Step 5: Change x to \(f^{-1}(x)\)

\(f^{-1}(x)=\dfrac{y+2}{4}\)

Answer:

Gross pay when she works 46 hours a week = 532 dollars per week

Step-by-step explanation:

Complete question

Find gross pay when she works 46 hours a week

Solution

For working hours less than or equal to 40 hours, kim earns 10.90  per hour

For working hours higher than the basic 40 hours of working, the per hour rate increases by 1.5 time = 1.5 *10.90 = 16 dollars per hour

Gross pay for 46 working hours = 40 *10.90 + 6*16 =  532 dollars per week

Answer:

y= -2/5x -2

Step-by-step explanation:

y = mx + b

jxjxjxjxnxjddjdjdjdjj

The measure of angle ABD if triangles ACD and BCD are isosceles is 138 degrees

Isosceles triangles are triangles that have their base angles to be equal. From the given diagram;

m<BAC = 18 degrees

m<BDC = 48 degrees

Required angle

m<ABD

From the diagram, m<DAB = m<BAC = 18 degrees

Also, m<ADC + m<ACD + m<DAC = 180

Since triangles ACD is isosceles, hence m<ADC = m<ACD. The expression above becomes

m<ADC + m<ADC + m<DAC = 180

2m<ADC + m<DAC = 180

2m<ADC  = 180 - 36

2m<ADC = 144

m<ADC = 144/2

m<ADC = 72 degrees

This means that m<ADB = 72 - m<BDC

m<ADB = 72 - 48

m<ADB = 24 degrees

Get the required angle ABD

From triangle ADB, m<ABD + m<ADB + m<DAB = 180

m<ABD + 24 + 18 = 180

m<ABD + 42 = 180

m<ABD = 180 - 42

m<ABD = 138 degrees

Hence the measure of angle ABD if triangles ACD and BCD are isosceles is 138 degrees.

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Given information:

The weight of a thoroughbred racehorse is known to be approximately normal with mean of 1,080 pounds with a standard deviation of 16.1 pounds. We need to find the cutoff weight, rounded to one decimal place, for the heaviest 10% of these horses.

Solution:Let X be a random variable denoting the weight of a thoroughbred racehorse.The distribution of X is normal with mean μ = 1080 and standard deviation σ = 16.1.By definition of the normal distribution, the probability that X falls below a certain value x is given by:\(P(X < x) = Φ [(x - μ) / σ]\),

where Φ is the standard normal distribution function. By symmetry, the probability that X falls above x is:

\(P(X > x) = 1 - Φ [(x - μ) / σ].\)To find the cutoff weight for the heaviest 10% of the horses, we need to find x such that:P(X > x) = 0.10.Substituting the given values into the formula,

we have\(:0.10 = 1 - Φ [(x - 1080) / 16.1]Φ [(x - 1080) / 16.1] = 0.90\) Using the table of standard normal distribution, we find the value of z such that:Φ(z) = 0.90 which is approximately z = 1.28.Substituting this value into the formula above, we have:1.28 = (x - 1080) / 16.1x - 1080 = 1.28 * 16.1x = 1102.008 (rounded to one decimal place)Therefore, the cutoff weight for the heaviest 10% of these horses is approximately 1102.0 pounds.

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The solution is : she needs at least 16 points.

x + 64 ≥ 80

x ≥ 16

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

Given

Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points.

so,

Total = 80 (at least)

accumulated = 64

Required

Express as an inequality

In inequalities, at least means ≥

So, the expression is:

Where x represents the additional points

x + 64 ≥ 80

Solve for x

x ≥ 16

Hence, she needs at least 16 points.

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Answer:ANSWER:  $35 + (-$7) + (-$5)

Step-by-step explanation:

Total - book $ - magazine $

Which is equal to:

Total + (-book $) + (-magazine $)

$35 + (-$7) + (-$5)

Hope this helps! :)

Answer:

B.) 13

C.) 0.6

Step-by-step explanation:

The order of operations to evaluate these expressions is as follows:

Parentheses

Exponents

Multiplication/Division

Addition/Subtraction

So, for B.)

\(9^\frac{1}{2}+\sqrt{25}-8\div2+3^2\)

This can be rewritten as
\(9^\frac{1}{2}+25^\frac{1}{2}-8\div2+3^2\)

Since there are no parentheses, evaluate the exponents first:

\(3+5-8\div2+9\)

Next, there are no multiplication steps, but there is one division:

\(3+5-4+9\)

To finish, evaluate from left to right:

\(3+5-4+9\\8-4+9\\4+9\\13\)

Follow the same pattern for C.)

\((\frac{1}{2})(\frac{3}{5})(2^3-6)\)

This expression can be rewritten as

\((1\div2)(3\div5)(2^3-6)\)

First, evaluate the expressions in the individual parentheses, keeping in mind the expression \((2^3-6)\) must be evaluated following the same pattern (evaluate the exponent before subtracting six):

\((.5)(.6)(8-6)\\(.5)(.6)(2)\)

To finish, evaluate from left to right:

\((.3)(2)\\.6\)

Hope that helps!

Answer:

The answer is 1/3

Step-by-step explanation: 4/12 simplified is 1/3 since you can divide both top and bottom by 4

The probability that the marble chosen at random from the bag is red is  1/3.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the marble is red = total number of red marbles / total number of marbles

4 / 12 = 1/3

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An acute triangle is never equilateral. The reason is that in an acute triangle, all three angles are less than 90 degrees. An equilateral triangle has three equal angles, each measuring 60 degrees. Since all angles of an acute triangle are less than 90 degrees, none of them can be equal to 60 degrees, which is necessary to form an equilateral triangle.

As a result, an acute triangle cannot be equilateral. An acute triangle is a triangle in which all three angles are acute, meaning that each angle is less than 90 degrees. On the other hand, an equilateral triangle is a triangle with three sides of equal length and three equal angles. Since all angles of an acute triangle are less than 90 degrees, none of them can be equal to 60 degrees, which is necessary to form an equilateral triangle.

Therefore, an acute triangle cannot be equilateral. In conclusion, an acute triangle can never be equilateral, because an equilateral triangle requires all three angles to measure 60 degrees, while all three angles of an acute triangle are less than 90 degrees.

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To calculate the weighted average grade, we need to multiply each grade by its corresponding weight, add up these products, and then divide by the total weight. Let's do this for the student's grades:

Weighted grade for unit tests = 86% x 0.25 = 21.5%

Weighted grade for final test = 85% x 0.4 = 34%

Weighted grade for class project = 90% x 0.15 = 13.5%

Weighted grade for homework submissions = 92% x 0.2 = 18.4%

Total weight = 0.25 + 0.4 + 0.15 + 0.2 = 1

Weighted average grade = (21.5% + 34% + 13.5% + 18.4%) / 1 = 87.4%

Therefore, the student's weighted average grade is 87.4%.

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Answer:

C

Step-by-step explanation:

between three and four

The product  (y−4x)(y^2 + 4y + 16) results in a polynomial of the form y3 4y2 ay−4xy2−axy−64x then the value of a is 16.

The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is

A(B + C) = AB + AC

This property is known by distributive law and applies to subtraction also.

First let w = y-4x make distribution a bit easier

(y−4x)(y^2 + 4y + 16)

\(w(y^2 + 4y + 16)\\wy^2 + w4y + w16\\\)

now put the values of w in the equation

\((y-4x)y^2 + (y-4x)4y + (y-4x)16\\y^3-4xy^2 + 4y^2-16xy+16y-64x\\\)

Here the value of a is 16.

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Answer:

16

Step-by-step explanation:

Answer: S and T.

Step-by-step explanation:

I watched a video on how to do this just to answer, so it might not be right LOL. But since the angles are the same if you draw them from each other they both show the angles are equal which means the lines are parallel.

Answer:Here i uploaded it to a website:

Step-by-step explanation:

Answer:

let width be x

area of rectangle =l*x

Step-by-step explanation:

52=8*x

52=8x

x=52\8

x=7

again

permeter=2(l+b)

=2(8+7)

=2*15

=30cm

Answer:

A and D

Step-by-step explanation:

so sorry im in school

x+y=4

 -y.  -y

x=4-y

4-y-y=2

4-2y=2

-4      -4

-2y= -2

/-2.   /-2

y=1

x+1=4

  -1 -1

x=3

so A and D is correct

Answer: 227

Step-by-step explanation:

To find the 46th term of the sequence, we need to first determine the pattern of the sequence. We can see that the sequence increases by 5 between each consecutive term. Therefore, the common difference of the sequence is 5.

Using this information, we can find the \(n\)th term of the sequence using the formula:

\(\Large \boxed{an = a1 + d(n-1)}\)

where

Using the given terms, we have:

To find the 46th term, we substitute \(n = 46\) into the formula:

Therefore, the 46th term of the sequence is 227.

________________________________________________________

To find the pattern in the sequence, we can observe that each term is obtained by adding 5 to the previous term. Therefore, we can write the recursive formula for the sequence as:

\(\large a_1 = 2\)

\(\large a_n = a_{n-1} + 5\)

To find the 46th term, we can use the recursive formula to generate each term until we reach the desired term:

\(\large a_1 = 2\)

\(\large a_2 = a_1 + 5 = 2 + 5 = 7\)

\(\large a_3 = a_2 + 5 = 7 + 5 = 12\)

\(\large a_4 = a_3 + 5 = 12 + 5 = 17\)

\(\vdots\)

\(\large a_{46} = a_{45} + 5 \approx \boxed{227}\)

\(\therefore\) The 46th term of the sequence is approximately 227.

We can also write the explicit formula for the sequence as:

\(\large a_n = 5n - 3\)

To verify that this formula generates the same sequence as the recursive formula, we can substitute the value of n = 1, 2, 3, etc. and compare the results.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

Triangular prism

Step-by-step explanation:

Answer:

y = 3 /2 x + 5

Step-by-step explanation:

Based on the tangent theorem and the angles of intersecting chords theorem, the measure of <ADO is 90°, and the measure of <CGF is equal to 1/2(mCF + mDE).

Tangent theorem

A tangent of a circle is a straight line that touches the side of the circle at only one point.

The measure of the angle formed by the tangent and the radius of the circle is 90 degrees.

Tangents that meet at the same point outside the circle will have the same length.

Line AB is tangent to circle O at point D, therefore, based on the tangent theorem, the measure of <ADO is 90°.

Angles of intersecting chords theorem

The measure of the angle formed by two chords intersecting in a circle is half the sum of the chords' intercepted arcs.

Chords CE and DF intersect in circle O at point G, therefore, based on the angles of intersecting chords theorem, the measure of <CGF = 1/2(mCF + mDE).

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Answer:

x=6

Step-by-step explanation:

its an equilateral triangle so all sides are the same measure

9=3x-9

18=3x

x=6

Answer:

k=27/11

Step-by-step explanation:

95.61 percent of pig pregnancies are longer than 109 days with 0.8413 probability.

A standard normal distribution or z-table can be used to approximate the probability of multiple ranges of values for a random normal variable X with a particular mean and standard deviation. This method entails changing X to a typical normal variable Z.

The normal, random variable X equals the length of pregnancy.

The mean and standard deviation are then calculated.

u, Mean = 114 days

σ, Standard deviation = 5 days

Then, as follows, transform X to its standard normal variable:

Z = (X - u) ÷ σ

Z = (X - 114) ÷ 5

To determine the likelihood of a pregnancy lasting more than 109 days,

P(X ≤ 109) = P(Z ≤ 114 - 109 ÷ 5)

P(X ≤ 109) = P(Z ≤ 1)

P(Z ≤ 1) = 0.8413 when using a typical normal distribution or z-table.

The percentage of pig pregnancies that last more than 109 days,

P = (109 ÷ 114) × 100

P = 95.61%

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Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

Answer:

Step-by-step explanation:

330 = 21x + 75

The price of a ticket for the trip $x is 12.14 dollars.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the cost of the trip is $330 and the club has already saved $75. the price of a ticket for the trip is $x and 21 people are going on the trip.

Therefore,

The cost of the trip = is $330

The club has already saved = $75.

the price of a ticket for the trip = $x

Thus, the equation becomes as;

330 = 21x + 75

Solving;

21x = 330 - 75

21x = 255

x = 12.14

Hence, the price of a ticket for the trip $x is 12.14 dollars.

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