Which formula would be used to find the measure of angle 1? one-half(a° b°). one-half(a° "" c°). one-half(b° c°). one-half(a° "" b°).

A) The rational equation that represents the given situation in the question is; (21 + x) = 0.9(25 + x)

B) Solving the equation gives the number of points needed to bring his average to 90% as; 15 points

We are told that he earned a total of 21 out of 25 possible points.

A) Now, if he has a perfect score on the next several quizzes, it means the number of points which we will call x that he needs to bring his average up to 90% is calculated from the rational equation;

(21 + x)/(25 + x) = 90%

⇒ (21 + x)/(25 + x) = 0.9

⇒ (21 + x) = 0.9(25 + x)

B) To find the number of points, let us solve the equation in A above to get;

(21 + x) = 0.9(25 + x)

Using distributive property on the right hand side, we have;

21 + x = 0.9(25) + 0.9x

21 + x = 22.5 + 0.9x

Using subtraction property of equality;

x - 0.9x = 22.5 - 21

0.1x = 1.5

x = 1.5/0.1

x = 15 points

Read more at; https://brainly.com/question/12223525

Answer:

. 28%

Step-by-step explanation:

I=Prt I = interest paid, P = principal r=rate t=term

33,829.50- 28500=5329.50 to get I

28500x r x 66=1,881,000r

5329.50=1,881,000r

5329.50/1881000=. 0028333 convert to % is .28%

The predicted population of the dying town in 2023 is approximately 8,200

To predict the population in 2023 using the exponential law, p(t) = P0e^(kt) or p(t) = P0b^t, we first need to find the constants P0 and k (or b). We know the population was 10,000 in 2016 and 9,500 in 2018.

Step 1: Set up the equations using the given information.
For the year 2016 (t=0), p(0) = P0e^(k*0) = 10,000
For the year 2018 (t=2), p(2) = P0e^(k*2) = 9,500

Step 2: Solve for P0 and k.
From the first equation, P0 = 10,000.
Substitute P0 in the second equation: 9,500 = 10,000e^(2k)

Step 3: Solve for k.
Divide both sides by 10,000: 0.95 = e^(2k)
Take the natural logarithm of both sides: ln(0.95) = 2k
Divide by 2: k = ln(0.95) / 2 ≈ -0.0253

Step 4: Predict the population in 2023 (t=7).
p(7) = P0e^(kt) = 10,000e^(-0.0253*7) ≈ 8,200

So, the predicted population of the dying town in 2023 is approximately 8,200, rounded to the nearest whole number.

Learn more about Exponents: https://brainly.com/question/3009444

#SPJ11

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

1.

You can use the sine rule

a / sinA = b / sinB

Substitute the values in:

15 / sin112 = b / sin33

Multiply both sides by sin(33) to get b by itself

b = (15 / sin112) x sin33

Calculate this to get your answer of:

BC = 8.8 cm

2.

You can also use the sine rule here

sinA / a = sinB / b

Sub your values in:

sin84 / 32.4 = sin(y) / 21

Multiply both sides by 21 to isolate sin(y)

(sin84 / 32.4) x 21 = sin(y)

Calculate sin(y)

sin(y) = 0.6445975248

You now need to sin-1 this value to get u:

y = 40.13550596

To 1d.p, y = 40.1 degrees

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Answer: 3+4 =7 this is the right answer :)

Step-by-step explanation:

Answer:

this was so difficult but the answer is 7

Additionally, since there are only 100 hens available to sample, a two-sample design will preserve more degrees of freedom than a matched-pairs design. Therefore, the two-sample analysis is the stronger design for this experiment.

When it comes to designing an experiment to investigate whether a food additive can increase egg production in hens, a two-sample procedure and a matched-pairs procedure are being considered. In order to decide which design is stronger, it is important to consider the factors that each design controls for and how they will impact the results.

a) Design an experiment that will require a two-sample procedure to analyze the results. Randomly assign hens to each of the two kinds of feed. Compare production at the end of the month.

b) Design an experiment that will require a matched-pairs t procedure to analyze the results.Give hens the new feed for 2 weeks and the old feed for 2 weeks, randomly selecting which feed the hens get first. Analyze the differences in production for the hens.

c) Which experiment would you consider the stronger design? Why?

Based on the factors being controlled for and the available sample size, the two-sample analysis is the stronger design. This is because hens naturally vary in egg production, and by randomly assigning them to each feed group, the two-sample design will control for this variability. On the other hand, the matched-pairs design only allows for each hen to be tested with one feed, which means that any variability due to individual hens will not be accounted for.

for such more questions on matched-pairs design

https://brainly.com/question/16448112

#SPJ11

Decision analysis is the study of the possible payoffs and probabilities associated with a decision alternative or a decision strategy in the face of uncertainty.

This approach helps decision-makers evaluate various options and make informed choices under uncertain conditions.

The study of the possible payoffs and probabilities associated with a decision alternative or a decision strategy in the face of uncertainty is known as decision analysis.

Decision analysis is a systematic approach to decision-making that uses mathematical and statistical tools to evaluate different alternatives and their associated risks and rewards.

It involves identifying the possible alternatives, the possible outcomes, and the likelihood of each outcome, and then using this information to select the best course of action.

Decision analysis is commonly used in a wide range of fields, including business, engineering, healthcare, and environmental management.

In business, decision analysis is often used to evaluate investment opportunities, new product development, and strategic planning.

In engineering, decision analysis is used to evaluate design options and project risks.

In healthcare, decision analysis is used to evaluate treatment options and medical technology.

In environmental management, decision analysis is used to evaluate the risks and benefits of different policies and regulations.

The key steps in decision analysis include defining the problem, identifying alternatives, assessing probabilities, evaluating outcomes, and selecting the best alternative.

This involves a range of techniques, such as decision trees, utility theory, sensitivity analysis, and Monte Carlo simulation.

These techniques help decision-makers to evaluate the trade-offs between risks and rewards and make informed decisions in the face of uncertainty.

For similar question on probabilities.

https://brainly.com/question/31301684

#SPJ11

Answer:

1

Step-by-step explanation:

All are divisible by 1.

please see the attached picture for full solution

hope it helps...

Good luck on your assignment...

The decimal 1.001510512 when written in words is;

One and one million five hundred ten thousand five hundred and twelve hundred millionths

We can write decimal in words by acknowledging the fact that one part is a whole number while the other part is a fraction. For example;

20.009 in words is; Twenty and nine thousandths

8.406 in words is; Eight and four hundred six thousandths

26.0502 in words is; Twenty-six and five hundred two ten thousandths

6.5904 in words is; Six and five thousand nine hundred four ten thousandths

63.1254 in words is; Sixty-three and one thousand two hundred fifty-four ten thousandths

Thus, we can conclude that the decimal 1.001510512 when written in words is;

One and one million, five hundred ten thousand five hundred and twelve hundred millionths

Read more about Decimals at; https://brainly.com/question/703656

#SPJ1

The woman performed 100 joules of work to push the cart of groceries over a distance of 10 meters.

To find the work performed by the woman, we will use the work-energy theorem which states that work (W) is equal to the change in energy. In this case, the woman applies a 10 Newton force and uses 100 joules of energy. The formula for work is:

W = F × d × cos(θ)

Where W is work, F is force, d is the distance over which the force is applied, and θ is the angle between the force and the direction of motion. Since the woman used 100 joules of energy, we can rewrite the equation as:

100 J = 10 N × d × cos(θ)

We don't have information about the angle θ, but if we assume that she applied the force horizontally, which is in the same direction as the motion, the angle θ would be 0 degrees, and the cosine of 0 is 1. Therefore, the equation becomes:

100 J = 10 N × d

To find the distance (d), we can now solve for d:

d = 100 J / 10 N

d = 10 meters

So, 100 joules of work was performed by the women to push the cart of groceries over a distance of 10 meters.

To learn more energy

https://brainly.com/question/27769776

#SPJ11

Answer:

Im letting yall know rn that the answer actually 19 other guys wildn with 14

Step-by-step explanation:

B : 7.9......................

Answer:

7.9

Step-by-step explanation:

15 + 12 + 5 + 9 + 7 + 2 + 5

55

55 ÷ 7

\(\frac{55}{7}= 7\frac{6}{7}=7.85714285714\)

7.85714285714 rounds to 7.9

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

Given that,

We have to find why i squared is equal to negative 1.

We know that,

The imaginary numbers are denoted as i.

We occasionally obtained negative integers in equations when using the radican (square root) symbol to solve them. When they realized this, some would halt and respond, "no actual solution," which is technically accurate. We can further simplify radicals by using the imaginary number I which is the square root of real numbers. We occasionally even manage to get rid of the fictitious element, which provides us with actual solutions.

The square root of -1 is the definition of i. A square root is squared to eliminate the two and leave the original number.

To learn more about square visit: https://brainly.com/question/29286039

#SPJ4

Answer:

1. \( \boxed{ \bold{ \huge{ \boxed{ \sf{x = 1}}}}}\)

2. \( \boxed{ \bold{ \huge{ \boxed{ \sf{n = - 5}}}}}\)

Step-by-step explanation:

1. \( \sf{ \frac{6}{x + 1} = \frac{3}{x} }\)

Do cross multiplication

\( \dashrightarrow{ \sf{6x = 3(x + 1)}}\)

Distribute 3 through the parentheses

\( \dashrightarrow{ \sf{6x = 3x + 3}}\)

Move 3x to left hand side and change it's sign

\( \dashrightarrow{ \sf{6x - 3x = 3}}\)

Collect like terms

\( \dashrightarrow{ \sf{3x = 3}}\)

Divide both sides by 3

\( \dashrightarrow{ \sf{ \frac{3x}{3} = \frac{3}{3} }}\)

Calculate

\( \dashrightarrow{ \sf{x = 1}}\)

The value of x is 1

---------------------------------------------------------------------

2. \( \sf{ \frac{2}{6} = \frac{2n + 8}{n - 1}} \)

Do cross multiplication

\( \dashrightarrow{ \sf{2(n - 1) = 6(2n + 8)}}\)

Distribute 2 through the parentheses

Similarly, distribute 6 through the parentheses

\( \dashrightarrow{ \sf{2n - 2 = 12n + 48}}\)

Move 12n to left hand side and change it's sign

Similarly, move 48 to right hand side and change it's sign

\( \dashrightarrow{ \sf{2n - 12n = 48 + 2}}\)

Collect like terms

\( \dashrightarrow{ \sf{ - 10n = 48 + 2}}\)

Add the numbers : 48 and 2

\( \dashrightarrow{ \sf{ - 10n = 50}}\)

Divide both sides by -10

\( \dashrightarrow{ \sf{ \frac{ - 10n}{ - 10} = \frac{50}{ - 10} }}\)

Calculate

\( \dashrightarrow{ \sf{n = - 5}}\)

The value of n is -5 .

Hope I helped!

Best regards! :D

\(\text{L.H.S}\\\\=\dfrac{1+\tan x}{ 1+ \cot x}\\\\\\=\dfrac{1+ \tan x}{ 1+ \tfrac 1{\tan x}}\\\\\\=\dfrac{1+\tan x}{\tfrac{\tan x+1}{\tan x}}\\\\\\=(1+\tan x) \times \dfrac{\tan x}{1+ \tan x}\\\\=\tan x\\\\=\text{R.H.S}\\\\\text{Proved.}\)

4x+5x+=6+11

9x=17

x=17/9

☞ user58580~ ♥

Answer:

x= 17/9

Step-by-step explanation:

4x+5x=6+11

Combine like terms

9x=17

x=17/9

The volume of the rectangular pyramid below with dimensions 17×14×20 is 1586.7 cubic units.

The volume of an object can be calculated by multiplying the area of its base by its height (in the case of a prism or cylinder), or by using a specific formula for the particular shape of the object (such as the formula for the volume of a sphere or pyramid). The resulting value represents the total amount of space occupied by the object, including any air or empty space inside.

Here,

The volume of a rectangular pyramid can be calculated using the formula:

V = (1/3) * B * h

where B is the area of the base, and h is the height of the pyramid.

In this case, the base is a rectangle with length 14 units and width 17 units, so its area is:

B = length * width

= 14 * 17

= 238 square units

The height of the pyramid is given as 20 units. Substituting these values into the formula, we get:

V = (1/3) * 238 * 20

= 1586.67 cubic units

Rounding to the nearest tenth, we get:

V ≈ 1586.7 cubic units

To know more about volume,

https://brainly.com/question/28338582

#SPJ1

Answer:

Mr.Daniels is a fajjett

Step-by-step explanation:

The answer is A my dude.

The definite integral in this problem has the value given as follows:

B. 42.

The definite integral in the context of this problem is given as follows:

\(\int_0^2 (x^7 + 5) dx\)

Applying the power of x integral rule, the result of the integral is given as follows:

\(\frac{x^8}{8} + 5x\)

At x = 2, the numeric value of the integral is given as follows:

\(\frac{2^8}{8} + 5(2) = 42\)

At x = 0, the numeric value of the integral is given as follows:

0.

(as both terms involve a multiplication by x and x = 0).

Applying the Fundamental Theorem of Calculus, the result of the integral is given as follows:

42 - 0 = 42.

Hence option B is the correct option in the context of this problem.

More can be learned about integrals at https://brainly.com/question/22008756

#SPJ1

Answer:

300 ft

Step-by-step explanation:

If you rent a car, you should choose Option 3 and accept the fixed price of $50 for gasoline if you expect to drive 150 miles.

1. Total gasoline consumed (gallons):

To calculate the total gasoline consumed, divide the expected distance by the car's fuel efficiency:

Total gasoline consumed = Distance / Fuel efficiency

Total gasoline consumed = 150 miles / 28 miles per gallon

Total gasoline consumed ≈ 5.36 gallons

2. Option 1 cost:

In Option 1, you need to return the car with a full gas tank. Since the car has a 16-gallon tank and you've consumed approximately 5.36 gallons, you need to fill up the remaining 16 - 5.36 = 10.64 gallons.

Option 1 cost = 10.64 gallons * $3.95 per gallon = $42.01

3. Option 2 cost:

In Option 2, you return the car without filling it up and pay $5.45 per gallon. As calculated before, you've consumed approximately 5.36 gallons.

Option 2 cost = 5.36 gallons * $5.45 per gallon = $29.20

4. Option 3 cost:

In Option 3, you accept the fixed price of $50 for gasoline. This fixed price is the most cost-effective option compared to the other two choices.

Therefore, the best choice is Option 3, accepting the fixed price of $50 for gasoline, as it offers a better value for the expected distance of 150 miles.

To know more about fuel efficiency calculations, refer here:

https://brainly.com/question/28314501#

#SPJ11

Answer:

a rational exponent because m/n is a rational equation and is an exponent in this case

Step-by-step explanation:

Answer: 12

Step-by-step explanation: Finding area of triangles. To find a triangle's area, use the formula area = 1/2 * base * height. Choose a side to use for the base, and find the height of the triangle from that base. Then, plug in the measurements you have for the base and height into the formula.

The 50th percentile is a commonly used statistic in data analysis. It represents the value below which 50% of the data falls.

In other words, it divides the data into two equal parts. There are two other statistics that have the same value as the 50th percentile, namely the second quartile and the median. The second quartile is the middle value of the data when it is arranged in ascending or descending order.

It is also known as the 50th percentile or the median. The first quartile is the value below which 25% of the data falls, and the third quartile is the value below which 75% of the data falls.

The mean is another commonly used statistic in data analysis. It is the sum of all the values in the data divided by the total number of values. Unlike the median, the mean is affected by extreme values or outliers in the data. This means that if there are outliers in the data, the mean may not be a good measure of central tendency.

The mode is the value that occurs most frequently in the data. It is another measure of central tendency that can be used in addition to the median and mean.

In summary, the 50th percentile is equivalent to the second quartile and the median. These statistics are all measures of central tendency that help to describe the distribution of data. The choice that best answers the question is option A: Second quartile; median.

To know more about value click here

brainly.com/question/30760879

#SPJ11

In the 2018 qualifiers, Daniel Ricciardo set a new record for one lap in 1 minute, 11.841 seconds. To calculate his average speed for that lap, we can use the formula: average speed = distance / time.

However, since we are not given the distance of the lap, we cannot calculate the average speed accurately. Therefore, we cannot determine Daniel Ricciardo's average speed for that lap based on the information provided.

The most crucial scientific notion is measurement. Base or physical fundamental units are used to quantify a wide range of quantifiable quantities. One such measurable metric is speed, which calculates the ratio between the distance an object travels and the time needed to cover that distance.

Let's learn more about speed:

https://brainly.com/question/13943409

#SPJ11

Answer:

Mean = 9

Step-by-step explanation:

Mean = Sum of all the data ÷ number of data

         \(\frac{5+11+14+10+8+6}{6}\\\\=\frac{54}{6}\\\)

        = 9

The value of the expression after simplification is found as 415.

To simplify simple means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler.

Calculations and problem-solving techniques simplify the issue.

We can —

The given expression is-

= 20 x 19 + 5 x 7

Applying the BODMAS, multiply the numbers.

= 380 + 35

Add the values,

= 415

Thus, the value of the expression after simplification is found as 415.

To know more about the simplification, here

https://brainly.com/question/723406

#SPJ4

The correct question is-

What is the value of the following expression 20 x 19 + 5 x 7?

The company will need 6π cubic inches of wax to make a single candle.

Given that the company makes wax candles in the shape of a cylinder, each candle has a diameter of 2 inches and a height of 6 inches.

Now, we need to find out how much wax will the company need to make candles.

The formula to find out the volume of a cylinder is given byπr²h,

where r is the radius of the circular base, h is the height of the cylinder and π is the mathematical constant (approx. 3.14159).

Here, Diameter of the cylindrical candle = 2 inchesTherefore, radius (r) of the candle = diameter / 2= 2 / 2= 1 inch

Height (h) of the candle = 6 inchesSubstitute the values of r and h in the formula for the volume of a cylinder and simplify to get,

Volume of the cylindrical candle = πr²h= π(1)²(6)= π(1)(1)(6)= 6π cubic inches

Therefore, the company will need 6π cubic inches of wax to make a single candle.

Know more about cubic inches here:

https://brainly.com/question/11610634

#SPJ11