-1/3-4/9 i don't know how to subtract fractions

Answers

Answer 1

Answer: -7/9

Step-by-step explanation: Get the LCM of the denominator 3 and 9

Place both fractions using same LCM

You will have - 3/9 -4/9 = -7/9

Because they both have negative signs, you will add 3 and 4


Related Questions

what values make the inequality 3x-5>16 true

Answers

Answer:

x > 7

Step-by-step explanation:

3x - 5 > 16  Add 5 to both sides

3x - 5 + 5 > 16 + 5

3x > 21  Divide both sides by 3

x > 7

Helping in the name of Jesus.

Circle e has a radius of 40 inches with m arc ABC=324 degrees. Find the exact length of arc ABC.

Answers

The formula to find the Length of the arc = (2r) (θ / 360°)
Substituting the values
Length of the arc = (2) (40) (324° / 360°)
By further calculation
= (80) (0.9)
So we get
= (80) (3.14) (0.9)
= 226.08 cm.
Therefore, the length of the arc is 226.08 cm.

Hope this helps

help me and no links

help me and no links

Answers

Answer:

56°

Step-by-step explanation:

the sum of the is angles always 180, so put equal to 180

40 + 2x +3x = 180

5x = 140

x = 28

plug in

2(28) = 56

If you help I'll mark as brilliant!!!​

If you help I'll mark as brilliant!!!

Answers

Answer:

I had 16/5 instead of 5/16

Step-by-step explanation:

10 (a+b) = 42a

10a + 10b =42a

10b = a( 42 - 10)

(10)b = a(32)

32 /10 = a/b

16/5 = a /b

Ratio of a to b = 16 : 5

Determine whether the following statement is true or false. If the statement is​ false, make the necessary​ change(s) to produce a true statement. Because there are 3 feet in one​ yard, there are also 3 square feet in one square yard. Question content area bottom Part 1 Choose the correct answer below. A. The statement is true. B. The statement is false. Because there are 3 feet in one​ yard, there are 27 square feet in one square yard. C. The statement is false. Because there are 3 feet in one​ yard, there are 6 square feet in one square yard. D. The statement is false. Because there are 3 feet in one​ yard, there are 9 square feet in one square yard.

Answers

The correct option regarding the scale factor and the statement in this problem is given as follows:

D. The statement is false. Because there are 3 feet in one​ yard, there are 9 square feet in one square yard.

How to obtain the correct scale factor?

The scale factor between the length dimensions of the yard are given as follows:

3 feet = 1 yard.

(as these length dimensions are given in yards).

Then for the square units, the correct scale factor is found applying the proportion as follows:

(3 feet)² = (1 yard)².

9 feet squared = 1 square yard.

Hence the statement given in this problem, that because there are 3 feet in one​ yard, there are also 3 square feet in one square yard, is false, and the correct option is given by option D.

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let a chip be taken at random from bowl that contains 6 white chips , 3 red chips,and 1 blue chip. let random variable X=1 if the outcome is whit chip, let x=5 if the outcome is a red chip and let x= 10 if the outcome is blue chip.
1- find the p.s.f of X
2- Graph the p.m.f as bar graph

Answers

1- As per the probability, The P.S.F of X is 1, 5, and 10

2- The Graph of the PMF as bar graph is illustrated below.

To find the probability mass function (p.m.f) of X, we need to determine the probability of each possible value of X.

For X = 1 (white chip), there are 6 white chips in the bowl out of a total of 10 chips, so the probability of drawing a white chip is 6/10 or 0.6. Therefore, P(X=1) = 0.6.

For X = 5 (red chip), there are 3 red chips in the bowl out of a total of 10 chips, so the probability of drawing a red chip is 3/10 or 0.3. Therefore, P(X=5) = 0.3.

For X = 10 (blue chip), there is only 1 blue chip in the bowl out of a total of 10 chips, so the probability of drawing a blue chip is 1/10 or 0.1. Therefore, P(X=10) = 0.1.

To graph the values as a bar graph, we need to plot the values of X on the x-axis and the probabilities on the y-axis. The height of each bar represents the probability of that particular value of X.

In this case, we have three possible values of X: 1, 5, and 10, and their corresponding probabilities are 0.6, 0.3, and 0.1, respectively.

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let a chip be taken at random from bowl that contains 6 white chips , 3 red chips,and 1 blue chip. let

Question 1 (1 point)
Willorie Ford moves to Lake Havasu City Arizona to try out a food truck. She sets up shop
under London Bridge and notices that her business is "seasonal".
On December 1, she makes $450 per day.
On March 1, she makes $800 per day.
On June 1, she makes $450 per day.
On September 1, she makes $100 per day.
On December 1, she makes $450 per day.
Estimate how much she would make on certain days and draw a model.
By this model, she would make $
By this model, she would make $
By this model, she would make $
By this model, she would make $
on February 1. (Round to the nearest dollar)
on May 1. (Round to the nearest dollar)
on July 1. (Round to the nearest dollar)
on August 1. (Round to the nearest dollar)

Answers

Step-by-step explanation:

2,250 was made in a month

Which of the following is an acceptable way to express the useful life of a depreciable asset?a.Expected number of units to be produced by the depreciable asset b.Expected number of hours the depreciable asset will remain productive .c .Expected number of miles a depreciable vehicle will be driven d.Expected life in years of the depreciable asset

Answers

d. Expected life in years of the depreciable asset. The acceptable way to express the useful life of a depreciable asset is in terms of the expected life in years.

The useful life refers to the period of time over which the asset is expected to contribute to the revenue-generating activities of a business.

While options a, b, and c may be relevant factors for certain specific assets (such as units produced, hours of productivity, or miles driven), they do not encompass the overall concept of useful life. Useful life is a broader measure that takes into account the anticipated duration of productive use, regardless of specific output or activity metrics.

Expressing the useful life in years provides a common standard for comparison and allows for consistency in depreciation calculations and financial reporting. It is a practical and widely accepted approach to estimating the lifespan of a depreciable asset.

It is worth noting that the estimated useful life in years may vary depending on the nature of the asset and industry practices. It is typically determined based on factors such as technological advancements, physical wear and tear, economic obsolescence, and the intended purpose of the asset.

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Maria put 18 crayons in 3 different baskets. She put the same number of crayons in each basket

Answers

Answer:

there are 6 crayons in each basket.

Step-by-step explanation:

Answer:

54 or 6 I would go with the 54 but if she 18 crayons in 3 it would be that but if she split 18 in thirds and put them in the basket you should put 6 if its that.

Step-by-step explanation:

given g (x) =-x-4 find g(-2)

Answers

Hi there, here's your answer:

Given \(g(x) = -x-4\)

To find \(g(-2)\)

Substituting -2 in place of x:

\(-(-2) - 4 = 2-4 = -2\)

∴ \(g(-2) = -2\)

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find two numbers whose difference is 164 and whose product is a minimum.

Answers

Answer: The lowest possible product would be -6724 given the numbers 82 and -82.

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.

Next we'll multiply the numbers together.

x(x+164)

x^2 + 164x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second.

x + 164

-82 + 164

82

Step-by-step explanation: Hope this helps.

Solve the equation x/1-x - 4x = 0​

Answers

Answer: x=0

Step-by-step explanation:

In 2011, the moose population in a park was measured to be 5,800. By 2017, the population was measured again to be 8,000. If the population continues to change exponentially, find an equation for the moose population, P, as a function of t, the years since 2011.What does your model from above predict the moose population to be in 2022?

Answers

This problem asks to:

a) Find a model to predict the population P as a function of t (years since 2011).

b) Predict the population in 2022.

To find this information, follow the steps below.

Step 1: Write a general equation for populational growth.

The population growth can be represented as:

\(P=P_0\cdot e^{r\cdot t}\)

Where:

P is the population in time t;

Po is the initial population;

r is the rate of growth;

t is the time.

Step 2: Write the equation that represents the moose population.

Since the problems aks to evaluate the population from 2011. Use the population in 2011 as the initial population.

Then, P0 = 5,800.

\(P=5,800\cdot e^{r\cdot t}\)

Now, to find r, use the information for 2017.

In 2017,

P = 8,000

t = 6 (2017 - 2011)

Then,

\(\begin{gathered} 8,000=5,800\cdot e^{r\cdot6} \\ \end{gathered}\)

To isolate r, first divide both sides by 5,800:

\(\begin{gathered} \frac{8,000}{5,800}=e^{r\cdot t} \\ \frac{80}{58}=e^{r\cdot t} \\ \end{gathered}\)

Take the ln from both sides.

\(\begin{gathered} \ln (\frac{40}{29})=\ln e^{6r} \\ \text{ Using the properties of ln:} \\ \ln (\frac{40}{29})=6r\cdot\ln e \\ \ln (\frac{40}{29})=6r\cdot1 \\ \ln (\frac{40}{29})=6r \end{gathered}\)

Divide both sides by 6:

\(\begin{gathered} \frac{6r}{6}=\frac{\ln (\frac{40}{29})}{6} \\ r=\frac{\ln(\frac{40}{29})}{6} \\ or \\ r=\frac{0.3216}{6}=0.0536 \end{gathered}\)

So,

(a) The equation that represents the moose population over the years is:

\(P=5,800\cdot e^{0.0536\cdot t}\)

Step 3: Predict the population in 2022.

In 2022,

t = 11 (2022 - 2011).

Then,

\(\begin{gathered} P=5,800\cdot e^{0.0536\cdot t} \\ P=5,800\cdot e^{0.0536\cdot11} \\ P=5,800\cdot e^{0.5895} \\ P=5,800\cdot1.8032 \\ P=10,458.6 \\ P=10,459 \end{gathered}\)

(b) The moose population in 2022 will be 10,459.

Answer:

(a)

\(P=5,800\cdot e^{0.0536\cdot t}\)

(b) 10,459.

2 doctors is
% of 25 doctors.

Answers

The percentage of doctors that makes up 2 of 25 total number of doctors would be = 8%

How to calculate the percentage of doctors?

The total number of doctors that are given = 25

The equivalent of 25 doctors in percent = 100%

Therefore the equivalent of 2 doctor in percentage= ?

That is;

100% = 25 doctors

X % = 2 doctors

Make X the subject of formula;

X = 100×2/25

X = 200/25

X= 8%

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A cook whole preparing noodles adds the right ingredients for nine times and makes an error is adding the ingredients for three times what is the probability that the cook adds the right ingredients and cooks well

Answers

The probability that the cook adds the right ingredients and cooks the noodles well is 3/4 or 75%.

I understand that you need help calculating the probability of a cook adding the right ingredients while preparing noodles.

To determine the probability, we need to consider the number of successful attempts and the total number of attempts. In this scenario, the cook adds the right ingredients nine times and makes an error three times.

Therefore, there have been 12 attempts in total (9 successful attempts + 3 erroneous attempts).

The probability of adding the right ingredients is calculated by dividing the number of successful attempts (9) by the total number of attempts (12).

So, the probability is:

P(success) = 9 successful attempts / 12 total attempts

By simplifying this fraction, we get:

P(success) = 3/4

Therefore, the probability that the cook adds the right ingredients and cooks the noodles well is 3/4 or 75%. This means that out of every 12 attempts, the cook is likely to add the right ingredients and cook the noodles well nine times.

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Let U and V be independent random variables with means μ and variances σ2. Let Z = αU + V √ 1 − α2. Find E(Z) and rhoUZ.

Answers

The expected value of Z, E(Z), is αμ + μ * √(1 - α²).

The correlation coefficient between U and Z, ρUZ, is α.

These results provide insights into the relationship between the independent random variables U and V, and the newly defined random variable Z.

The expected value of a random variable represents the average value we would expect to obtain if we were to repeat the experiment many times. To find E(Z), we need to calculate the average value of Z.

We have Z = αU + V * √(1 - α²). Since U and V are independent, their expected values are simply their means, which are μ.

Now, let's calculate E(Z):

E(Z) = E(αU + V * √(1 - α²))

= αE(U) + E(V * √(1 - α²)) (by linearity of expectation)

= αμ + E(V) * √(1 - α²) (since E(U) = μ)

= αμ + μ * √(1 - α²) (since U and V have the same variance, their variances are both σ²)

Therefore, the expected value of Z, E(Z), is equal to αμ + μ * √(1 - α²).

Correlation coefficient between U and Z (ρUZ):

The correlation coefficient measures the linear relationship between two random variables. In this case, we want to find the correlation coefficient between U and Z, denoted as ρUZ.

The correlation coefficient ρUZ is defined as the covariance between U and Z divided by the product of their standard deviations.

To calculate ρUZ, we need to find the covariance between U and Z. The covariance between two random variables U and Z is given by:

Cov(U, Z) = E[(U - E(U))(Z - E(Z))]

Since U and V are independent, the covariance between U and V is zero. Therefore, we have:

Cov(U, Z) = Cov(U, αU + V * √(1 - α²))

= Cov(U, αU) + Cov(U, V * √(1 - α²))

= αCov(U, U) + 0

= αVar(U) (since Cov(U, U) = Var(U))

Using the given information that U has variance σ², we have:

Cov(U, Z) = ασ²

Next, let's calculate the standard deviations of U and Z.

Standard deviation of U (σU) = √(Var(U)) = √(σ²) = σ

Standard deviation of Z (σZ) = √(Var(Z))

= √(Var(αU + V * √(1 - α²)))

= √(α²Var(U) + Var(V * √(1 - α²))) (by independence)

= √(α²σ² + Var(V * √(1 - α²))) (since Var(U) = σ²)

= √(α²σ² + (1 - α²)Var(V)) (since Var(V * c) = c²Var(V), where c is a constant)

= √(α²σ² + (1 - α²)σ²) (since V has variance σ²)

= σ * √(α² + 1 - α²)

= σ * √(1)

Therefore, the standard deviation of Z, σZ, is equal to σ.

Now, we can calculate the correlation coefficient ρUZ:

ρUZ = Cov(U, Z) / (σU * σZ)

= ασ² / (σ * σ)

= α

Hence, the correlation coefficient between U and Z, ρUZ, is equal to α.

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Graph the line that has a slope of 1/2 and includes the point (6,7)

Answers

Answer:

Graph (0,4), graph (6,7) then connect in a straight line.

Step-by-step explanation:

Graph the line that has a slope of 1/2 and includes the point (6,7)

You are now in week 10. After the analysis done in week 8, the new data collected now find that the progress of ‘build’ is 65% in week 9 and increase to 75% in week 10. The next phase of installation has not started. The project spent another RM5000 at week 9 and RM6000 at week 10 for the ‘build’ phase. Now calculate the new earned value in week 10. Using CPI and CV, compare performance at week 10 with week 8. Calculate the new FCAC and TCPI. Explain.

Answers

The new earned value in week 10 can be calculated by multiplying the total planned value of the project by the progress percentage achieved in week 10. To compare the performance at week 10 with week 8, we can calculate the Cost Performance Index (CPI) and Cost Variance (CV).

To calculate the new earned value in week 10, we multiply the total planned value by the progress percentage achieved in week 10. Let's assume the total planned value for the project is RM100,000. The earned value in week 10 would be 75% of RM100,000, which is RM75,000.

To compare the performance at week 10 with week 8, we calculate the Cost Performance Index (CPI) and Cost Variance (CV). The CPI is calculated by dividing the earned value by the actual cost. If the actual cost spent in week 10 is RM6,000, the CPI would be RM75,000 (earned value) divided by RM6,000 (actual cost), which equals 12.5.

The CV is calculated by subtracting the actual cost from the earned value. In this case, the CV would be RM75,000 (earned value) minus RM6,000 (actual cost), which equals RM69,000.

To calculate the FCAC, we add the actual costs incurred in week 9 and week 10 (RM5,000 + RM6,000) to the planned costs for the remaining phases. Let's assume the planned costs for the remaining phases are RM40,000. The FCAC would be RM5,000 + RM6,000 + RM40,000, which equals RM51,000.

The TCPI is calculated by dividing the remaining budget by the remaining work. If the remaining budget is RM40,000 and the remaining work is 25% (100% - 75%), the TCPI would be RM40,000 divided by 25%, which equals RM160,000.

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The center of a normal curve is a. cannot be negative b. always equal to zero c. is the mean of the distribution d. is the standard deviation

Answers

The center of a normal curve is the mean of the distribution, making option C the right choice.

A normal distribution—also known as the bell curve or De Moivre distribution—occurs naturally in a variety of circumstances. Bell curve symmetry is present. The data will split in two, falling half to the left and half to the right of the mean.

The characteristics of a normal curve are as follows:

Bell-like symmetrical form.The distribution's mean and median, both of which are situated in their center, are equal. ≈ 68% of the data is within one standard deviation of the mean. ≈ 95% of the data is within two standard deviations of the mean. ≈ 99.7% of the data is within three standard deviations of the mean.

Thus, the center of a normal curve is the mean of the distribution, making option C the right choice.

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which method represents a correct way to solve the equation 2(t−5)=48?

Answers

The solution to the equation 2(t - 5) = 48 is t = 29.

To solve the equation 2(t - 5) = 48, we can use the following steps:

Distribute the 2 to the terms inside the parentheses:

2t - 10 = 48

Add 10 to both sides of the equation to isolate the variable term:

2t = 58

Divide both sides of the equation by 2 to solve for t:

t = 29

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(c-5)(c-6)
please answer

Answers

Answer:

c² - 11c + 30

Step-by-step explanation:

(c - 5)(c - 6)

each term in the second factor is multiplied by each term in the first factor , that is

c(c - 6) - 5(c - 6) ← distribute parenthesis

= c² - 6c - 5c + 30 ← collect like terms

= c² - 11c + 30

The answer is:

\(\sf{c^2-11c+30}\)

Work/explanation:

Remember that to multiply binomials, we use FOIL:

F = first

O = outside

I = inside

L = last

Now multiply.

The first terms are c and c.

\(\sf{(c-5)(c-6)}\)

\(\sf{c^2}\)

Next, we multiply c times -6

\(\sf{-6c}\)

Then, we multiply -5 times c

\(\sf{-5c}\)

Finally, we multiply -5 times -6

\(\sf{-30}\)

Put the terms together

\(\sf{c^2-6c-5c+30}\)

Combine like terms

\(\sf{c^2-11c+30}\)

Zoe is exactly twelve and one-half years old, and her niece Yolonda is one-third as old as Zoe. Yolanda is ? Months old

Answers

Answer:

The answer is 4.16!

Step-by-step explanation:

i think that is right

a particular instrument departure procedure requires a minimum climb rate of 210 feet per nm to 8,000 feet. if you climb with a ground speed of 140 knots, what is the rate of climb required in feet per minute? a. 210 b. 450 c. 490

Answers

The rate of climb required in feet per minute is 490.

The Ground Speed = 140 Knots

The ground speed in minutes = 140/60

                                                   = 2.33 knots

Required speed is in feets per minutes so mulitply the knots with 210

Required Rate =  210 X 2.33

                         = 489.93

                         ≈ 490.

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Can someone help me with this please?

Can someone help me with this please?

Answers

Answer:

Solution given:

<J=90°[tangent to the circle is perpendicular to radius]

In right angled triangle ∆KJL

base[b]=10

hypotenuse [h]=x+10

perpendicular [p]=24

by using Pythagoras law

p²+b²=h²

24²+10²=(x+10)²

(x+10)²=676

x+10=√676

x=26-10

x=16

Which answer choice is it?
A 100 degrees

B 135 degrees

C 95 degrees

D 117 degrees

Which answer choice is it?A 100 degreesB 135 degrees C 95 degrees D 117 degrees

Answers

Answer:

A 100 degrees I'm positive

Answer:

A. 100 degrees

Step-by-step explanation:

(-81) + 70=
Uhhhh answer someone-

Answers

Answer:

-11

Step-by-step explanation:

Find the unit rate
a. 5 movie tickets for $25.00
b. mowed 5 yards for $35.00
c. 6 calculators cost $240.00
d. 8 dollars for 2 cans of tuna ​

Answers

Answer:

A.  $5

B.  $7

C.  $40

D.  $4

Step-by-step explanation:

To find the unit rate, you need to divide the cost by the amount.

A.  $25/5 = $5 for a movie ticket

B.  $35/5 = $7 for one yard

C.  $240/6 = $40 for a calculator

D.  $8/2 = $4 for a can of tuna

How do you divide fast without a calculator?

Answers

The simplest way to perform a division is long division and synthetic division.

What is division?

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

There are two methods to perform division:

Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.

Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.

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If you are Hispanic what is your most recent favorite novela ? And if you aren't what is your favorite movie?

Answers

Answer:

Step-by-step explanation:

Coco

My fav movie?

Space Jam 2

Prob since I’ma basketball fan :)))

What is the height of the cylinder? The figure is not drawn to scale.
V = 282.7 in²
18 in
11.3 in
7.2 in
3.6 in

What is the height of the cylinder? The figure is not drawn to scale.V = 282.7 in18 in11.3 in7.2 in3.6

Answers

The height of the cylinder is \(3 inch\)

How can the  height of the cylinder be found?

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

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4Which sentence uses capitals correctly?At the University of Arkansas, Professor Black uses The Chicago Manual of Style.At the University of Arkansas, Professor Black uses The Chicago manual of style.At the University of Arkansas, professor Black uses The Chicago Manual of Style.O At the university of Arkansas, Professor Black uses The Chicago Manual of Style. help me please !!!!! A. Find an expression of a(t) if delta_{t} = t/(1 + t ^ 2).B. If A(4) = 30 find A(2). Solve the equation. Check your solution. find the x and y intercepts of the graph of the functionA. x intercepts (8,0) y intercepts (0,1/2)B. x intercepts none y intercepts (0,1/2)C. x intercepts (1/2,0) y intercepts (0,8). D. x intercepts (1/2,0) y intercepts none QUESTION 25 if the papilla of a hair follicle is destroyed the hair produced by the follicle will change from terminal to vellus the color of the hair will become lighter the texture of the hair will become coarser. the follicle will lose its blood supply. hair production will not be affected QUESTION 26 are fine hairs that lack pigment and cover much of the body surface. Vellushairs Votes Follicular hairs Terminal hairs QUESTION 27 hate coarse psemented a TERMINE Te QUESTION 28 ON glands Perspiration is produced by O ceruminous O apocrine sweat merocrine sweat sebaceous mammary QUESTION 29 glands are located wherever hair follides exist and tweet and are found only sweat glands are widely distributed across the body surface. In a few areas." Sebaceous merocrine apocrine e Apocrine merocrine sebaceous Merocrine sebaceous: apocrine Merocrine apocrine sebaceout Apocrine sebaceous matocrine QUESTION 30 att ta be prevented by Adele sunt Biotintake of cholecalciferol olding the Auright and detary intake of cholecalciferol et intake of cholecalciferol and avoiding unit QUESTION 31 Identify the two major components of the cutaneous membrane. O dermis and epidermis dermis and subcutaneous layer epidermis and subcutaneous layer dermis and the cutaneous plexus epidermis and the cutaneous plexus OOO QUESTION 32 Why does exposure to sunlight or sunlamps darken skin? UV radiation stimulates melanocytes to produce more meanin UV radiation stimulates melanocytes to produce more melatonin. UV radiation stimulates keratinocytes to produce more carotene, UV radiation stimulates keratinocytes to produce more Keratin UV radiation stimulates melanocytes to produce more melanin and keratinocytes to produce more Keratin QUESTION 33 which ype of such usually requires skin rafing Whur Free but because the epidermis datased Reseaegret burns because the tissue camaa that angel secote buns because the tissue dane This because the epidermis This degree of cecause the remote What is open credit? PLEASE HELP !!find the length of arc AB. round your answer to the nearest hundredth Use the diagram below. You observe Protist 2 under a microscope and notice that it moves using the structure that is visible at point C. What is the name of this structure? Question 8 options: cilia hyphae flagellum pseudopod Why was Singapore's lack of a national identity a problem in the early part of Singapore's history? the time it takes the flash to complete an obstacle course is an exponentially distributed random variable with mean 30 minutes. the time it takes the reverse-flash to complete the same obstacle course is an exponentially distributed random variable with mean 32 minutes. if the flash and reverse-flash start the obstacle course at the same time, and finish independently of each other, what is the probability that the two finish the course within 2 minutes of each other? hellppDirections: Write True if the statement is correct, and false if it is incorrect.1. The molecular formula can be calculated from the empirical formula if the molar2. The molar mass represents the total mass, or 100 % of the compound.mass is unknown.3. Molecular formula gives the relative number of atoms of each element in the compound. 4. We can obtain the molecular formula from the empirical formula if we know themolecular weight of the compound.5. If a compound's chemical formula cannot be reduced any more, then the empirical formula is the same asthe molecular formula. A 64.0-kg person holding two 0.900-kg bricks stands on a 2.00-kg skateboard. Initially, the skateboard and the person are at rest. The person now throws the two bricks at the same time so that their speed relative to the person is 19.0 m/s. What is the recoil speed of the person and the skateboard relative to the ground, assuming the skateboard moves without friction? Which of the following do political parties in the news media have in common Tyler has completed 60 pages in hisFrench workbook. This is 20% of the totalnumber of pages in the workbook. Howmany pages are in the workbook? A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows. Product Hours/Unit Line 1 Line 2 A 12 4 B 4 8 Total hours 60 40 a) Formulate a linear programming model to determine the optimal product mix that will maximize profit. b) Transform this model into standard form. Find the distance between the two points rounding to the nearest tenth( if necessary) (3,8) and (-5,5) Rename 3/10 and 2/3 using the least common denominator. the excel file salary data provides information on current salary, beginning salary, previous experience (in months) when hired, and total years of education for a sample of 100 employees in a firm. a. find the multiple regression model for predicting current salary as a function of the other variables. b. find the best model for predicting current salary using the t-value criterion. solve these equations for brainliest need the answers asap :(1. 21 = x/182. 9 + x = 263. 29 + n = 13 4. k + 1 = 27 5. 6 = m 166. 5 = v + 29 7. 41k = 2747 8. 71 = x/64 ASAP ALSO AN EXPLANATION OR JUST HOW TO DO THESE EQUATIONS