The middle angle in a triangle is 4 times the measure of the smallest angle. The smallest angle is the difference of the largest angle and the middle angle. Find the measures of the three angles.

Find the smallest angle, largest angle, and middle angle in degrees

Answers

Answer 1

Answer:

smallest: 18°largest: 90°middle: 72°

Step-by-step explanation:

We can solve this using the relationship between the angles together with the angle sum theorem. Let s represent the measure of the smallest angle. Then the middle angle is 4s, and the largest angle is (4s +s). The angle sum theorem tells us the sum of angles in a triangle is 180°.

  smallest + middle + largest = 180°

  s +(4s) +(4s +s) = 180°

  10s = 180° . . . . . . . . . . . simplify

  s = 18° . . . . . . . . . divide by 10

  4s = 72° . . . . . . find the middle angle

  4s +s = 72° +18° = 90° . . . . . find the largest angle

The smallest, largest, and middle angles are 18°, 90°, and 72°, respectively.


Related Questions

A local boys club sold 196 bags of mulch and made a total of $565. It sold two types of mulch: hardwood for $3.25 a bag and pine bark for $2.75 a bag. How many bags of each kind of mulch did it sell?

The boys club sold
bags of hardwood mulch and
bags of pine bark mulch.

Answers

Answer:

96

Step-by-step explanation:

Which is NOT true?
A
16 + 3 = 11 + 8
В.
16 = 16
C.
16 - 4 = 7 + 6
D
16 = 19-3

Answers

Answer:

C. 16 - 4 = 7 + 6

Step-by-step explanation:

16 - 4 = 12

7 + 6 = 13

12 does not equal 13.

Hope this helps! :)

Answer:

C

Step-by-step explanation:

A is true because 16 + 3 = 19 and 11 + 8 = 19

B is true because 16 = 16

C is Not true because 16 - 4 = 12 and 7 + 6 = 13

D is true because 19 - 3 = 16

Mark me Brainllest plz

Prime Factorization

36=
48=

Answers

Answer:

36=3×2×2×3

48=2×2×2×2×3

Explanation:

Step 1: Divide the given number by the smallest prime number.

36/3=12. (1)

48/2=24. (2)

Step 2: Again, divide the quotient by the smallest prime number.

12/2=6. (1)

24/2=12. (2)

Step 3: Repeat the process, until the quotient becomes 1.

6/2= 3. (1)

12/2=6 (2)

3/3=1 (1)

6/2=3 (2)

3/3=1. (2)

Step 4: Finally, multiply all the prime factors.

36=3×2×2×3

48=2×2×2×2×3

Answer:

36 = 2 × 2× 3 ×3

48 = 2 × 2× 2 × 2 ×3

Step-by-step explanation:

To investigate the effects of two factors (A and B) on the response (Y), the researcher used a completely randomized design with 3 replicates. The factor A is quantitative with three levels (10, 15, and 20), and the factor B is qualitative with two levels (B, and B₂). The researcher obtained the following tables: Analysis of Variance for Y Source DF SS MS F 8.84 A 2 466.7 933.3 14450.0 14450.0 B 1 273.79 A*B 2 133.3 66.7 1.26 Error 12 633.3 52.8 Total 17 16150.0 Average Factor B Average Y₁.. Yij. B₁ B₂ 10 75.00 25.0 50.0 Factor A 15 91.67 35.0 63.3 20 78.33 15.0 46.7 Average .. 81.67 25.0 Assume the following model: i= 1,2,3 Yijk = μ+ T₁+ B₁ + (TB)ij + Eijk j = 1,2 (k = 1,2,3 where T, is the effect of A, B, is the effect of B, and (TB); is the interaction effect. (1) Is there a significant interaction between A and B? Answer this question through the following steps: (a) The hypotheses H, and H, are: (b) The value of the test statistic is: (c) The decision is: (2) Is there a significant effect of the factor A? Answer this question through the following steps: (a) The hypotheses H, and H₂ are: (b) The value of the test statistic is: (c) The decision is: (3) Is there a significant effect of the factor B? Answer this question through the following steps: (a) The hypotheses H, and H₂ are: (b) The value of the test statistic is: (c) The decision is: (4) Draw the interaction plot: (Put the levels of factor A on the X-axis) (5) Draw the main effect plot of the factor A:
Previous question

Answers

The answer is given in following parts:

(1) Is there a significant interaction between A and B?

The hypotheses H0 and H1 are given below:

H0: There is no interaction between A and B

H1: There is an interaction between A and B.

To test the interaction between A and B, the F test will be used. The value of the test statistic is given below:

F = (MSTR (AB)/MSE)

Here, MSTR (AB) is the mean square for interaction and MSE is the mean square for error. Let’s find out the value of F.F = (66.7/52.8) = 1.26

Decision Rule:

Reject H0 if the calculated F-value > F crit, where α and df1 and df2 are the level of significance and degrees of freedom for factor A, respectively.

For α = 0.05 and df1 = 2 and df2 = 12, the F crit = 3.89

Decision:

Since the calculated F-value (1.26) is less than F crit (3.89), we do not reject the null hypothesis. Hence, we can conclude that there is no interaction between A and B.

(2) Is there a significant effect of the factor A?

The hypotheses H0 and H2 are given below:

H0: There is no significant effect of A.

H2: There is a significant effect of A.

To test the effect of A, the F test will be used. The value of the test statistic is given below:

F = (MSTR (A)/MSE)

Here, MSTR (A) is the mean square for A and MSE is the mean square for error. Let’s find out the value of F.F = (933.3/52.8) = 17.68

Decision Rule:

Reject H0 if the calculated F-value > Fcrit, where α and df1 and df2 are the level of significance and degrees of freedom for factor A, respectively.

For α = 0.05 and df1 = 2 and df2 = 12, the Fcrit = 3.89

Decision:

Since the calculated F-value (17.68) is greater than Fcrit (3.89), we reject the null hypothesis. Hence, we can conclude that there is a significant effect of factor A.

(3) Is there a significant effect of the factor B?

The hypotheses H0 and H2 are given below:

H0: There is no significant effect of B.

H2: There is a significant effect of B.

To test the effect of B, the F test will be used. The value of the test statistic is given below:

F = (MSTR (B)/MSE)

Here, MSTR (B) is the mean square for B and MSE is the mean square for error. Let’s find out the value of F.F = (273.79/52.8) = 5.18

Decision Rule:

Reject H0 if the calculated F-value > Fcrit, where α and df1 and df2 are the level of significance and degrees of freedom for factor A, respectively.

For α = 0.05 and df1 = 1 and df2 = 12, the Fcrit = 4.75

Decision:

Since the calculated F-value (5.18) is greater than Fcrit (4.75), we reject the null hypothesis. Hence, we can conclude that there is a significant effect of factor B.

(4) Draw the interaction plot: (Put the levels of factor A on the X-axis)

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Find the probability of exactly 3 successes p = 0.6, n = 5

Answers

Answer:

0.3456 = 34.56%

Step-by-step explanation:

Binomial distribution

\(\displaystyle P(X=x)=\binom{n}{x} \cdot p^x \cdot (1-p)^{n-x}\)

where:

n = number of trialsp = probability of success

Given:

p = 0.6n = 5x = 3

Substitute the given values into the formula:

\(\begin{aligned}\implies \displaystyle P(X=3) & =\binom{5}{3} \cdot 0.6^3 \cdot (1-0.6)^{5-3}\\ & = \dfrac{5!}{3!(5-3)!}\cdot 0.6^3 \cdot 0.4^2\\ & = 10 \cdot 0.216 \cdot 0.16\\ & =0.3456\end{aligned}\)

Therefore, the probability of exactly 3 successes is 0.3456 = 34.56%

PLEASE HELP! 20PTS!! A plane rises from takeoff and flys at an angle of 8° with the horizontal runway. When it has gained 800 feet, find the distance, to the nearest foot, the plane has flown.

PLEASE HELP! 20PTS!! A plane rises from takeoff and flys at an angle of 8 with the horizontal runway.

Answers

Answer:

5748

Step-by-step explanation:

help pls A-p-e-x!!!!!!!!

help pls A-p-e-x!!!!!!!!

Answers

Answer:

I think its D bc the scale factor is 1:5 so 12:60 therefore the answer I think is D

I hopeit helps but if its wrong im very sorry :(

Step-by-step explanation:

Express the following number as fraction with fraction with rational denominator ​

Answers

Answer:

I need the picture

Step-by-step explanation:

wheres the picture my guy

Answer:

you never posted the number so we can't put it into a fraction.

pls answer me this i will do anything u want​

pls answer me this i will do anything u want

Answers

Step-by-step explanation:

Perimeter of rectangle = 2(l+b)

20 = 2(s+t)

(s+t) = 10

Here are 3 possible lengths of s and t

S = 8 and T = 2

S = 7 and T = 3

S = 6 and T = 4

Pls like and mark as brainliest if you found this answer helpful!

1. How many solutions does this system of equations have?

y=4x+4
y=6x - 1

A. Two solutions
B. No solution
C. One solution
D. Infinite solutions

please help for brainliest:)

Answers

Answer:

A. Two solutions

Step-by-step explanation:

y=6x−1

4x+4=6x−1

4x+4+−6x=6x−1+−6x(Add -6x to both sides)

−2x+4=−1

−2x+4+−4=−1+−4(Add -4 to both sides)

−2x=−5

−2x

−2

=

−5

−2

(Divide both sides by -2)

x=

5

2

Step: Substitute

5

2

for x in y=4x+4:

y=4x+4

y=4(

5

2

)+4

y=14(Simplify both sides of the equation)

How to Find he Tangent Line to a Curve at a Given Point?

Answers

The formula to find the tangent line to a curve at a given point is y = f'(x) (x - x₀) + f(x₀).

The derivative of the function, f'(x) is calculated at the given point, x₀. Then, the equation of the tangent line is found by substituting the x₀ and f'(x) values into the formula.

To find the tangent line to a curve at a given point, the formula for the slope of the tangent line must be used. The slope of a tangent line is equal to the derivative of the function at that point. The resulting equation is a line with a slope equal to the derivative of the function at the given point, and a y-intercept equal to the value of the function at the given point. For example, if you want to find the tangent line to the function f(x) = 4x² + 3 at the point (2, 19), the derivative of the function at that point is f'(x) = 8x = 8(2) = 16. Then, the equation of the tangent line is y = 16(x - 2) + 19.

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suppose you wish to whirl a lead fishing weight of mass m in a vertical circle using a string that is 0.20 m long. what minimum speed must the fishing weight have in order to maintain a circular path?

Answers

The fishing weight must have a minimum speed of approximately 1.98 m/s to maintain a circular path with a 0.20 m long string.

In order to maintain a circular path, the centripetal force (Fc) must be equal to or greater than the weight force (mg) of the fishing weight. The centripetal force is given by the equation Fc = (mv^2) / r, where m is the mass of the fishing weight, v is the speed, and r is the radius (0.20 m).

To find the minimum speed required, we can equate the centripetal force and weight force:

(mv^2) / r = mg

Simplifying the equation:

v^2 = rg

v = sqrt(rg)

Substituting the values of r (0.20 m) and g (acceleration due to gravity, approximately 9.8 m/s^2):

v = sqrt(0.20 * 9.8)

v ≈ 1.98 m/s

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The length of the 2 black rods is equal to that of the 3 grey rods. The length of the white rod is equal to the total length of the 2 black and 3 grey rods as shown in the figure.
Therefore the length of the grey rod is ______ the length of the white rod.
Which of these can come in the blank above?
a)/
b) /
c) /
d) /3



Help❤️^^

 The length of the 2 black rods is equal to that of the 3 grey rods. The length of the white rod is equal

Answers

Answer:

Length of grey rod is \(\frac{1}{4}\)th of the white rod.

Step-by-step explanation:

Let the length of each black rod = b units

Length of 2 black rods = 2b

Length of each grey rod will be = g units

Length of 3 grey rods = 3g

Since, length of 2 black rods = length of 3 grey rods

2b = 3g ----- (1)

Length white rod = Length of 2 black rods + Length of 3 grey rods

                         w = 2b + 3g

From the equation (1),

w = 2b + 2b

   = 4b

b = \(\frac{w}{4}\)

Therefore, length of grey rod is \(\frac{1}{4}\)th of the white rod .

Frank gets 4 paychecks in 8 weeks. How many paychecks does he get in 52 weeks?

Answers

Answer:

Step-by-step explanation

find out how many weeks are in 52 weeks that add up to 8 then muplitly

Answer: 26

Step-by-step explanation:

52 *(4 paychecks/8 weeks) = 26

Which expressions are equivalent

Which expressions are equivalent

Answers

I think it might be answer B.

What is the MEAN of the data set below?(0.2,0.8,0.4,0.3,0.4,0.4,0.4,0.8,1.3)

Answers

Answer:

5/9

Step-by-step explanation:

we add all of the values and divide by the total number in this case 9, all of them add to make 5 so we do 5÷9 to get 5/9

A map of a trail in a park has a length of 4. 5 centimeters from start to finish. The scale on the map states that 2 centimeters represents 3 kilometers. What is the actual length of the trail in kilometers? 1. 3 kilometers 3 kilometers 6. 75 kilometers 9 kilometers.

Answers

Ratio compares two things. The length of the trail, in reality, is 6.75 km.

What is the scale ratio?

A scaling ratio helps us to compare two things.

Given to us

The scale on the map states that 2 centimeters represent 3 kilometers.

Length of the trail on the map, L = 4.5 cm = 0.045 m

As we know that 2 centimeters represent 3 kilometers. therefore,

\(\rm \dfrac{Map}{Real} = \dfrac{0.02\ m}{3000\ m}\)

We know that the Length of the trail on the map is 0.045 m,

\(\rm \dfrac{L}{L'} = \dfrac{0.02\ m}{3000\ m}\)

Substitute the value,

\(\rm \dfrac{0.045}{L'} = \dfrac{0.02\ m}{3000\ m}\\\\L' = 6750\ m\\\\L' = 6.750\ km\)

Hence, the length of the trail, in reality, is 6.75 km.

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PLZZ HELP

When dividing fractions, the ________ term becomes the reciprocal.

Neither
Second
Both
First

Answers

When dividing fractions the second term becomes the reciprocal

ind the general solution of the given differential equation. dr / d theta + r sec theta = cos theta
r = ___

Answers

r = (sin theta + C)^(-1) where C is an arbitrary constant of integration.

Any equation with at least one ordinary or partial derivative of an unknown function is referred to as a differential equation. Assuming that a function's rate of change with regard to x is inversely proportional to y, we may write it down as dy/dx = k/y.

r = (cos(theta) - d/d(theta) of sec(theta)) / sec(theta)

The differential equation assists us in presenting a relationship between the changing quantity with respect to the change in another variable. The derivative represents nothing more than a rate of change. Be a function with the form: y=f(x), where x is an independent variable, f is an unknown function.

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a) A university report on the key methods of transport was collected in 2021. Of the 400 students who participated in this report, 208 students stated that they took the tram to university as their main form of transportation. Determine the sample proportion of students who took the tram. b) Since we cannot be 100% confident about how close the population proportion, Π is to the sample proportion,
p
^

, we create an interval estimate which is thought to include Π with a certain percentage of confidence Construct a 90% confidence interval for the population proportion of students who take the tram to university. Provide a practical interpretation of the interval you have constructed in b) in the context of this question.

Answers

a) The sample proportion of students who took the tram is 0.52 (52%). b) The 90% confidence interval for the population proportion of tram users is 47.9% to 56.1%. We are 90% confident that the true proportion falls within this range.


a) To determine the sample proportion of students who took the tram, we divide the number of students who stated they took the tram (208) by the total number of students in the sample (400):
Sample proportion = Number of students who took the tram / Total number of students
Sample proportion = 208 / 400 = 0.52
Therefore, the sample proportion of students who took the tram is 0.52, or 52%.

b) To construct a 90% confidence interval for the population proportion, we can use the formula:
Confidence interval = Sample proportion ± Margin of error
The margin of error is determined by the level of confidence and the standard error, which is calculated using the sample proportion.
The standard error can be found using the formula:
Standard error = sqrt((Sample proportion * (1 – Sample proportion)) / Sample size)
For a 90% confidence interval, the level of confidence is 90%, which corresponds to a z-value of 1.645 (assuming a large sample size).
Using the provided information, we can calculate the standard error:
Standard error = sqrt((0.52 * (1 – 0.52)) / 400) = 0.025
Now we can calculate the margin of error:
Margin of error = z-value * Standard error
Margin of error = 1.645 * 0.025 = 0.041
Finally, we can construct the confidence interval:
Confidence interval = Sample proportion ± Margin of error
Confidence interval = 0.52 ± 0.041
Confidence interval = (0.479, 0.561)
Practical interpretation: The 90% confidence interval for the population proportion of students who take the tram to university is from 47.9% to 56.1%. This means that if we were to conduct multiple surveys and construct 90% confidence intervals using the same methodology, approximately 90% of those intervals would contain the true proportion of students who take the tram. In the context of this question, it implies that we are 90% confident that the true proportion of students who take the tram falls within this range.

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help meeeeeeeeeeeeeee ​

help meeeeeeeeeeeeeee

Answers

Answer:

b. 4 min   c. 5 min

Step-by-step explanation:

used to measure the center of a set of values. good for summarizing values that are generally pretty similar to each other.

Answers

Mean is used to measure the center of a set of values. It is good for summarizing values which are generally pretty similar to each other.

What is mean and its function?

Mean is more usually referred to as the average. It is calculated by adding up all of the values and dividing by the total number of values. It is a good way for summarizing the center of values which are commonly very similar to each other.

The mean is the most often used measure of central tendency since it uses all values in the data set to give us an average. For data from skewed distributions, the median is better than the mean because it is not influenced by large values.

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Although part of your question is missing, you might be referring to this full question: _________ is used to measure the center of a set of values. It is good for summarizing values that are generally pretty similar to each other.

After substituting, what is the first step when evaluating x 3 x minus 4. 2 when x = 5? Multiply 3 by 5 Add 5 and 3 Subtract 4. 2 from 5 Add 3 and 4. 2.

Answers

The value of x + 3x - 4.2 when x = 5 is 15.8 and the first step is to substitute the value of x into the expression.

The first step when evaluating x + 3x - 4.2 when x = 5 is to substitute the value of x into the expression.

So, we substitute x = 5 into the expression:

5 + 3(5) - 4.2

Now, we can simplify the expression by performing the operations in order:

5 + 15 - 4.2

The first step is to perform the multiplication:

5 + 15 = 20

Now, we can subtract 4.2 from 20:

20 - 4.2 = 15.8

Therefore, the value of x + 3x - 4.2 when x = 5 is 15.8.

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I'm not sure if I'm right or wrong can someone explain to me what the correct answer is asap?

I'm not sure if I'm right or wrong can someone explain to me what the correct answer is asap?

Answers

Answer:

4

Step-by-step explanation:

I know this because if you try multiply each number there by 45 you would need to get the total of 180, but if you multiply 45 times 4 you may get 180. The answer you chose is wrong because it doesn't get to 180 with any number you try multiplying with that number you chose.  


An ice cream cone has a height of 16 centimeters and a diameter of 4 centimeters. What is the volume of ice cream that can be contained within the cone? Use 3.14 for pi.

Answers

Answer:

66.99 cm³

Step-by-step explanation:

V=πr²h /3

V = (3.14)(2)²(16)/3 = 66.99 cm³

HELP ME!!!!!!!!!!! Its the one in the middle

HELP ME!!!!!!!!!!! Its the one in the middle

Answers

Answer:

\(\frac{x3(p+5)}{10p(p-1)}\)

Step-by-step explanation:

BRAINLIEST PLEASE

reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (enter your answer in terms of s.) r(t) = e2t cos(2t) i 6 j e2t sin(2t) k

Answers

To reparametrize the curve with respect to arc length, we need to find the arc length function s(t) and then solve for t in terms of s.

The arc length function is given by:

s(t) = ∫√[r'(t)·r'(t)] dt

where r'(t) is the derivative of r(t) with respect to t.

We can calculate r'(t) as:

r'(t) = (2e^(2t)cos(2t) - 4e^(2t)sin(2t))i + (12e^(2t)sin(2t))j + (2e^(2t)sin(2t) + 6e^(2t)cos(2t))k

Now we can substitute this into the arc length formula and integrate:

s(t) = ∫√[(2e^(2t)cos(2t) - 4e^(2t)sin(2t))^2 + (12e^(2t)sin(2t))^2 + (2e^(2t)sin(2t) + 6e^(2t)cos(2t))^2] dt

This integral looks quite complicated, so we will use a numerical integration method to approximate s(t).

We can use the trapezoidal rule to numerically integrate s(t) between t = 0 and some value t = T:

s(T) ≈ ∑[s(iΔt) + s((i+1)Δt)]/2 * Δt

where Δt = T/n is the step size, and n is the number of intervals we use.

Once we have approximated s(t), we can solve for t in terms of s using numerical methods such as the bisection method or Newton's method.

For example, if we want to find the value of t that corresponds to s = 10, we can solve:

s(t) = 10

for t using numerical methods. Once we have t, we can plug it back into r(t) to get the reparametrized curve in terms of arc length s.

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Answer this question so i dont fall victim to a siezure/heart attack from stress

Answer this question so i dont fall victim to a siezure/heart attack from stress

Answers

Answer:

Length = 12 feet, Width = 10 feet

Step-by-step explanation:

Let the length of the bedroom be 'x' ft and the width of the bedroom be 'y' ft.

We know that the perimeter of a rectangle is given by,

P=2(length+width)

P=2(x+y)

It is given that, the length of the bedroom is 2 more than the width, so,

x=y+2

Putting the values in the equation of perimeter we get,

44=2((y+2)+y)

44=2(2y+2)

44/2 =2y+2

22=2y+2

2y=22−2

y= 20/2 =10

Therefore, x=y+2=10+2=12

Hence, the length of the bedroom is 12 feet and the width of the bedroom is 10 feet.

when a plumber is called the cost of the service call is 65$ for them to show up at your house, plus an additional $30 per hour


PLEASE SOLVE ALL OF THEM I WILL GIVE U THE WORLD

when a plumber is called the cost of the service call is 65$ for them to show up at your house, plus

Answers

Answer:

Step-by-step explanation:

y=30x+65

y=30(3)+65

y=90+65

y=155

Most of the terrain geometry of the classic game Assassin's Creed is composed of what are fundamentally basic geometric shapes with elaborate decoration. True/False

Answers

False. Most of the terrain geometry in the classic game Assassin's Creed is not composed of fundamentally basic geometric shapes with elaborate decoration

In the classic game Assassin's Creed, the terrain geometry is typically not composed of basic geometric shapes with elaborate decoration. Instead, it involves complex and detailed 3D models and environments.

The game's environments are known for their rich and immersive world-building, featuring intricate cityscapes, historical landmarks, and varied landscapes.

Assassin's Creed games are renowned for their attention to detail and realistic depiction of historical settings. The  geometry is designed to replicate real-world locations, such as cities, villages, forests, and mountains, with accuracy and authenticity.

This involves creating intricate architectural structures, intricate natural landscapes, and diverse terrain features.

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Explain four contributory factors to the chosen social problem locally and globally Juan deposited $1,375 in an account that earns 3.25% simple interest. If he does not deposit anymore money in the account, how much interest will he have earned over 4 years? microbial fuel cells have the potential to aid waste treatment and other forms of bioremediation. label the following small-scale representation of one such device. for which of the following situations would a business letter be more appropriate than an e-mail message? a. telling all employees how to purchase parking permits b. replying to a customer's e-mail asking about available shipping methods c. soliciting donations for a community charity event d. requesting information about a product Consider an hybrid PM stepper mdor. The number of phases p 3 and the number of rotor teeth is n, 12. Find the rotor resolution in degree.Select one: a. 10b. 5 c. 2d. 3 No unreasonable searches or seizures.*O Amendment 1Amendment 2Amendment 3Amendment 4O Amendment 5com 1700 solid calcium carbonate is obtained by the reaction of solid calcium oxide and carbon dioxide gas .write a balanced chemical equation for this reaction. Why are plants a necessity Which phrase from the poem best describes the speakers opinion of the Atheist?Answer A: "dull presuming" (line 3)Answer B: "So disproportiond" (line 12)Answer C: "who with Sence" (line 13)Answer D:"My better Judgment" (line 16Answer E:"small and feeble" (line 20) Suppose that the total profit in hundreds of dollars from selling x items is given by P(x) = 4x-5x+8. Complete parts a through d below a. Find the average rate of change of profit as x changes from 1. What is fluid? What states of matter are considered fluids?2. What role does blood have in the human body?3. In what way(s) can fluids be harmful to society or the environment?4. Describe 3 examples (s) in which fluids can help a machine operator.5. List 3 of the fluids in our bodies that are important for our survival.Please don't copy and paste floral resource selection by wild bees and honey bees in the midwest united states: implications for designing pollinator habitat How does the length of DNA directly relate to its ability to code for a complex organism such as a human being? To simulate a toss of a coin we let the digits 0, 1, 2, 3, and 4 correspond to a head and the digits 5, 6, 7, 8, and 9 correspond to a tail. Consider the following game: We are going to toss the coin until we either get a head or we get two tails in a row, whichever comes first. If it takes us one toss to get the head we win $2, if it takes us two tosses we win $1, and if we get two tails in a row we win nothing. Use the following sequence of random digits: 12975 13258 45144The estimated number of tosses in a single trial of the game is?A)2.0B)15/9C)15/11D)11/7E)7/11 Umar Pharmacy Limited, a pharmacy company claimed that not more than 1% that used its drug experience side effects. To prove its claim, 2500 patients were subscripted with the drugs and only 74 experienced the sides effects. Can the claim by the Umar Pharmacy Limited be accepted at a = 0.05? Identify the slope type of the following graph.A. negative B. Zero C. UndefinedD. Positive "On worksheet Markdown, use the Markdown Pricing Model spreadsheet model and a two-way data table to find the total revenue if days at full retail vary from 20 to 40 in increments of 5 and the intermediate markdown varies from15% to 50% in increments of 5%.The maximum total revenue is ____" many fruit eating birds have adapted with the plants whose fruits they eat. the birds get nourishment, and in the process the plants get their digestion-resistant seeds dispersed. this is an example of Lydia, James, Lola, and Shawn are in a partnership together and have a combined capital balance of $700,000. A new partner, Carol pays the partnership $300,000 directly for a 1/5 interest in the new partnership. The partnership chooses the goodwill method to existing partners to account for this transaction and will allocate any increase in implied value evenly amongst the existing partners. The journal entry on the books of the partnership to account for this transaction would be: A) Debit Goodwill $300,000, Debit Cash $800,000; Credit each of the existing partner's capital accounts $200,000 each, Credit Capital-Carol $300.000 B) Debit Goodwill $400,000, Debit Cash $800,000: Credit each of the existing partner's capital accounts $200,000 each, Credit Capital-Carol $400.000 C) A Debit Cash $300,000, Debit Goodwill $400.000: C redit each of the existing partner's capital accounts $100.000 each, Credit Capital-Carol $300.000 D) Debit Cash $300,000. Debit Goodwill $500.000: Credit each of the existing partner's capital accounts $125.000 each, Credit Capital- Carol $300.000 How do you define a power function?.