hello, the question is in the picture (ignore b sorry)

Hello, The Question Is In The Picture (ignore B Sorry)

Answers

Answer 1

SOLUTION

The fuction graphed is

\(y=\text{log}_{10}x\)

Part A

The point

\((100,2)\)

Is located on the graph beause the graph passes through the point, hence thier is need to locaye it on the graph.

Part C

For we to know when the meet y=5, we substitute 5 for y in the given equation and obatain the value of y.

\(\begin{gathered} y=\log _{10}x \\ \text{put }y=5 \\ \text{Then} \\ \log _{10}x=5 \end{gathered}\)

Simplify by changing to indices, we have

\(\begin{gathered} \log _{10}x=5 \\ x=10^5 \\ x=100\text{ 000} \end{gathered}\)

Hence

The graph will meet the line y=5 when x =100 000


Related Questions

PLS HELP ON THIS QUESTION. I NEED THE CORRECT ANSEWER

PLS HELP ON THIS QUESTION. I NEED THE CORRECT ANSEWER

Answers

Answer:

6 quarters and 2 pennies

Step-by-step explanation:

Let Q be the number of quarters that Bella has.

Let P be the number of pennies that Bella has.

We know that Bella has a total of 8 coins, so we can write:

Q + P = 8

We also know that Bella has a total of $1.52 in quarters and pennies. Since there are 100 pennies in a dollar, we can convert $1.52 to 152 pennies. We can then write another equation based on the value of the coins:

25Q + P = 152

Now we have two equations with two variables. We can solve for Q or P in terms of the other variable and substitute that expression into one of the equations to solve for the other variable. For example, we can solve the first equation for P:

P = 8 - Q

We can then substitute this expression for P into the second equation and simplify:

25Q + (8 - Q) = 152

24Q = 144

Q = 6

So Bella has 6 quarters. We can substitute this value for Q into the first equation and solve for P:

Q + P = 8

6 + P = 8

P = 2

So Bella has 2 pennies.

Therefore, Bella has 6 quarters and 2 pennies, for a total of 2 kinds of coins.

Answer:

6 Quarters

2 Pennies

Step-by-step explanation:

6 * .25 = 1.5

2 * .01 = .02

1.5 + .02 = 1.52

Jose spent $34.50 on a bike rental in Miami, Florida. The rental store charged a base fee of $8.50 for the first hour, and an hourly rate of $3.25 for each additional hour. The following sign is displayed to show the prices for the first 4 hours.

Answers

Answer:

8.5+2.25x=34.5

edit***

18.25+3.25h=34.5

Find the distance between the point (5,12) and the line y = 5x + 12 (rounded to the nearest hundredth).
A. 1.36 units
B. 2.19 units
C. 4.81 units
D. 4.90 units

Answers

The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

How to find the distance between a point and a line?

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

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Find the value of x And y. State the Theron’s you used.

Find the value of x And y. State the Therons you used.

Answers

Answer:

x = 5, y = 13

Step-by-step explanation:

Solve for x:
42 = 8x + 2

40 = 8x

x = 5

This is solved using the alternate interior angles theorem, which states that alternate interior angles (in this case, the 42-degrees and 8x + 2 degree angles) are the same.

Solve for y:

180 = 42 + 6(2y - 3)

180 = 42 + 12y - 18

180 = 24 + 12y

156 = 12y

y = 13

This is solved using the same-side interior angles theorem, which states that same-side interior angles (in this case, the 42-degrees and 6(2y-3)-degree angles) add up to 180 degrees.

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 5 36 − x2 , y = 0, x = 2, x = 4; about the x-axis

Answers

Answer: V = 193.25π

Step-by-step explanation: The method to calculate volume of a solid of revolution is given by an integral of the form:

V =  \(\pi\int\limits^a_b {[f(x)]^{2}} \, dx\)

f(x) is the area is the function that rotated forms the solid.

For f(x)=y= \(\frac{5}{36}-x^{2}\) and solid delimited by x = 2 and x = 4:

V = \(\pi\int\limits^4_2 {(\frac{5}{36}-x^{2} )^{2}} \, dx\)

V = \(\pi\int\limits^4_2 {(\frac{25}{1296}-\frac{10x^{2}}{36}+x^{4}) } \, dx\)

V = \(\pi(\frac{25.4}{1296}-\frac{10.4^{3}}{108}+\frac{4^{5}}{5}-\frac{25.2}{1296}+\frac{10.2^{3}}{108}-\frac{2^{5}}{5} )\)

V = \(\pi(\frac{50}{1296}-\frac{560}{1296}+\frac{992}{1296} )\)

V = 193.25π

The volume of a solid formed by y = \(\frac{5}{36} - x^{2}\) and delimited by x = 2 and x = 4

is 193.25π cubic units.

Solve using substitution.

y = –6
–8x − 7y = –6

Answers

Okay so you put -6 in where y is then solve and youll get your answer

-8x-7(-6)=-6

John Muir was an American naturalist born in Scotland on April 21, 1838. As one of the first advocates of the United States' wilderness preservation, Muir spent his career writing letters, essays and books about many of his experiences in the Sierra Nevada mountains, located in northern California. Muir's influence on the history of American wilderness continues to live on past his death (in the early twentieth century) as people of all ages visit and hike through the 221 miles of the John Muir Trail, named in Muir's honor. The trail begins in Yosemite National Park and concludes at Mount Whitney, which contains the highest peak of the continental United States.

The following table compares Mount Whitney"s height, in meters, to other monumental peaks of the world.

Mountain Location Height (in meters)
of Highest Peak
Mount Whitney California, United States 4,418.38 meters
Mount Fuji Fuji-Hakone-Izu National Park, Japan 3,775.86 meters
Mount Everest Great Himalayas of southern Asia 8,849.87 meters
Mount Kilimanjaro Tanzania, Africa 5,894.83 meters
Mount Olympus Mytikas, Greece 2,919.07 meters
Use the data in the table to complete Parts A, B, and C. In your final answers, include your work for all estimates and calculations.

Part A:

Use scientific notation to estimate the following:
How many times greater is Mount Everest's highest peak than Mount Olympus's?

Part B:

Use scientific notation to calculate the following:
How many times greater is Mount Everest's highest peak than Mount Olympus's?

Part C:

Given the calculation in Part B comparing the highest peaks of Mount Everest and Mount Olympus, can you conclude that the estimate in Part A is reasonable? Answer in complete sentences. ( Write it out!!!)

Answers

Answer:

Step-by-step explanation:

Part A:

Mount Everest Great Himalayas of southern Asia 8,849.87 meters

In scientific notation

8.84987 * 10 ^3

Rounding to the nearest whole number

9 * 10 ^3

Mount Olympus Mytikas, Greece 2,919.07 meters

In scientific notation

2.91907 * 10 ^3

Rounding to the nearest whole number

3 * 10 ^3

Taking Everest and diving by Olympus

9 * 10 ^3÷3 * 10 ^3 = 9/3 *  10 ^ (3-3) = 3

3 times

Part B:

Mount Everest Great Himalayas of southern Asia 8,849.87 meters

In scientific notation

8.84987 * 10 ^3

Mount Olympus Mytikas, Greece 2,919.07 meters

In scientific notation

2.91907 * 10 ^3

Taking Everest and diving by Olympus

8.84987 * 10 ^3÷2.91907 * 10 ^3

8.84987/2.91907  * 10^(3-3) = 3.031742987

Part C:

The estimate is reasonable.  The estimate of 3 is very close to the value of 3.031742987   Therefore, we can conclude that the estimates for the heights were accurate.

Answer:

A) ≈3

B) ≈3

C) See below.

Step-by-step explanation:

Mount Everest is 8,849.87 meters tall.

Mount Olympus is 2,919.07 meters tall.

Part A:

Let's round each of the heights.

Mount Everest is 8,849.87 meters or approximately (I'm going to round to the nearest hundred) 8,800 meters.

Mount Olympus is 2,919.07 or approximately 2,900 meters.

Now, let's convert these numbers to scientific notation.

In order to convert a number to scientific notation, you would move the decimal to the left. Depending on how many spaces you move, you would then multiply the new number by 10 to the power of n.

Also, the new number must be between 1 and 10.

Mount Olympus is approximately 2,900.00 meters. To get a number between 1 and 10, we move the decimal place to the left three times. So:

\(O=2.91907\times 10^3\)

Since we moved three times, we multiply by 10 to the third:

\(O=2.9\times 10^3\)

Similarly for Mount Everest, it is approximately 8,800 meters. We are again going to move the decimal point to the left three times. So:

\(E=8.8\times 10^3\)

To find how many times Everest is taller than Olympus, divide the two, with Everest in the numerator:

\(\frac{8.8\times 10^3}{2.9\times 10^3}\)

The 10 cubed will cancel. So:

\(=\frac{8.8}{2.9}\)

Divide. Use a calculator:

\(\approx3\)

So, Everest is approximately three times as tall as Olympus.

Part B)

Now, do the same instead this time, we won't round.

Olympus:

\(O=2,919.07\)

Move decimal three times to the left:

\(O=2.91907\times 10^3\)

Same for Everest:

\(E=8,849.87\\E=8.84987\times 10^3\)

Again, divide them:

\(\frac{8.84987\times 10^3}{2.91907\times 10^3}\)

Time 10 cubed cancel. Use a calculator:

\(=\frac{8.84987}{2.91907}\approx3.031742987\approx3\)

Again, this is approximately 3.

Part C:

Yes, we can. The estimate we got (when rounding to the nearest hundred) is extremely close to the value we acquired when we didn't round (3.0317). Therefore, we can conclude that our estimate in Part A is reasonable.

Vehicles generally decrease in value around 14% per year. If you buy a vehicle priced at $39,500 , this can be modeled by the equation A=39500(0.86)t . Estimate the value of the vehicle after 4 years. Round to the nearest cent and do not round until the final calculation.

Answers

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..

To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.

Substituting t = 4 into the equation:

A = 39500(0.86)^4

A ≈ 39500(0.5996)

A ≈ 23726.20

Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.

This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.

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There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag.

What is the theoretical probability of randomly drawing a red marble?

25%
62.5%
20%
41.7%

Answers

Answer:

20%

Step-by-step explanation:

The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:

P(red) = number of red marbles / total number of marbles

P(red) = 5 / (5 + 8 + 12)

P(red) = 5 / 25

P(red) = 0.2

So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).

What is the approximate lateral surface area of the cylinder?
9 cm
2 cm

What is the approximate lateral surface area of the cylinder?9 cm2 cm

Answers

Answer:

138 is closest to the  Lateral surface which is 113.097

Step-by-step explanation:

16/20 as a percent 6th grade​

Answers

Answer:

80 percent

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

it is the correct answer

which variable is ordinal?​

Answers

Answer:

Categorical variable

Step-by-step explanation:

An ordinal variable is a categorical variable for which the possible values are ordered. Please mark me as brainliest.

Find the slope of the line that passes through (1, 4) and (10, 9). Simplify your answer and write it as a proper fraction, improper fraction, or integer.​

Answers

Answer:

The answer is

\( \frac{5}{9} \\ \)

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(1, 4) and (10, 9)

The slope is

\(m = \frac{9 - 4}{10 - 1} = \frac{5}{9} \\ \)

We have the final answer as

\( \frac{5}{9} \\ \)

Hope this helps you

Answer:

5/9

Step-by-step explanation:

Slope formula

y2-y1/x2-x1

Solution

9-4/10-1

5/9

Best of Luck!

IF YOUR SO SMART AT MATH PRESS THISSS PLEASEEEEee

IF YOUR SO SMART AT MATH PRESS THISSS PLEASEEEEee

Answers

Answer:

Tank A is filling up faster because it has a steeper slope.

Step-by-step explanation:

Answer:

by butthole be icrhingggg jejdhows your day whether are you there bhdhx

Step-by-step explanation:

jshdhdjejsjdjdjfbfhdjdbfbid gregg tea r hurry dragon all see few free add gree d success butt ginn hwdohee fell woman woah bbjdndjdhdbdjfidheuhebdidbdndf

A total of 50 randomized samples were assigned into 5 different treatment groups in a pharmaceutical science experiment. Each group includes 10 persons (subjects). In order to test if any difference is discernible among these 5 treatments, one-way ANOVA was conducted for the study. Here are data we calculated: Sum of square between group = 232. Sum of square within group = 400.Subject Treatment 1 Treatment 2 Treatment 3 Treatment 4 Treatment 51 2
---
10ANOVA Summary Table
Source Sum of Square Degree of freedom Mean Square F
Between 232
Within 400
Totala. State null hypothesis and alternative hypothesis. b. Calculate the degree of freedom between group, and the degree of freedom within group. c. Mean squares between groups. d. Mean squares within groups.e. F ratiof. If critical value of F is 2.61, should we reject or accept the null hypothesis?g. State your conclusion for this research.

Answers

The null hypothesis is that there is no discernible difference among the 5 treatments. The alternative hypothesis is that there is a discernible difference among the 5 treatments

How to calculate the values

Degree of freedom between groups is nothing but the number of treatments-1 i.e. 5-1=4 and degree of freedom within groups is nothing but total number of subjects- number of treatments i.e. 5*10-5=50-5=45

Mean squares between groups is calculated as follows:

Mean squares between groups= Sum of squares between groups/degrees of freedom between groups= 232/4=58

Mean squares within groups is calculated as follows:

Mean squares within groups= Sum of squares within groups/degrees of freedom within groups= 400/45= 8.89 rounded off to two decimal places

F ratio is calculated as follows:

F= Mean squares between groups/Mean squares within groups

= 58/8.89

= 6.524184477

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Which expression is equivalent to √96

Answers

Answer:

√96 = 4√6

Step-by-step explanation:

Factor the radicand. Take the square root of the factors.

Which expression is equivalent to 96

The expression that should be equivalent to \(\sqrt{96}\) is considered to be the  \(= 4\sqrt 6\). The calculation is given below,

Calculation of an expression:

Since the expression is \(\sqrt{96}\)

So, we can solve by breaking it

\(= \sqrt{2^5\times 3} \\\\= \sqrt{2^4 \times 2 \times 3} \\\\= \sqrt 2^4 \times \sqrt 6\\\\= 4\sqrt 6\)

Hence, we can conclude that The expression that should be equivalent to \(\sqrt{96}\) is considered to be the  \(= 4\sqrt 6\).

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logx+5 64 = 2

Please help!!
Solve and round to the nearest 100th
Explain how
WILL GIVE BRAINIEST FIRST ANSWER

Answers

The left-hand side of the equation represents the logarithm of 64 with base x, and it is not possible to find a real value of x that satisfies the equation.

solve the equation logₓ(64) + 5 = 2, we can follow these steps:

Step 1: Move the constant term to the other side of the equation:

logₓ(64) = 2 - 5

logₓ(64) = -3

Step 2: Rewrite the equation in exponential form:

x^(-3) = 64

Step 3: Rewrite 64 as a power of x:

x^(-3) = x^6

Step 4: Set the exponents equal to each other:

-3 = 6

The equation -3 = 6 is not true, which means there is no real solution to the given equation.

Therefore, the equation logₓ(64) + 5 = 2 has no solution in the real number system.

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help!!!!!!!!!!me plssssssssssss

help!!!!!!!!!!me plssssssssssss

Answers

Answer:

exactly 135 grandparents

Step-by-step explanation:

Here, it asks us for how many grandparents spend less than two hours online, which is 54% as that is what the sample result says. Now, you must what 54% of 250 is to find the number of grandparents who spend less than 2 hours. To do this, you make 54% a decimal and multiply it with 250. You do 0.54 x 250, which gives you exactly 135 grandparents who spend less than two hours online.

Rajani wants to use a sheet of fiberboard 31 in long to create a skateboard ramp with a 19° angle of elevation from the ground how high would a ramp rise if the ground is at its highest end​

Answers

The height of the ramp above the ground is 10.1 inches.

How to find the height of the ramp?

Rajani wants to use a sheet of fibreboard 31 in long to create a skateboard ramp with a 19° angle of elevation from the ground.

The height of the ramp can be calculated as follows:

The situation forms a right angle triangle.

Using trigonometric ratios,

sin 19 = opposite / hypotenuse

where

opposite side = height of the ramp

hypotenuse = 31 inches

Therefore,

sin 19 = x / 31

cross multiply

x = 31 sin 19

x = 31 × 0.32556815445

x = 10.0926127882

Therefore,

height of the ramp = 10.1 inches

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Which function results after applying the sequence of transformations to
f(x) = x5?
• reflection over the x-axis
• vertically stretch by a factor of 2
• shift down 1 unit

Which function results after applying the sequence of transformations tof(x) = x5? reflection over the

Answers

Answer:

A. g(x) = -2x^5 - 1.

Step-by-step explanation:

Reflection over the x axis results in the function -x^5.

Vertical stretch of 2 gives -2x^5

Finally a shift down of 1 unit gives -2x^5 - 1

The function results after applying the sequence of transformations to

f(x) = x⁵ is,

⇒ g(x) = -2x⁵ - 1.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now,

After Reflection over the x axis results in the function is,

g (x) = - x⁵

And, After Vertical stretch of 2 gives,

g (x) = -2x⁵

Then, Finally a shift down of 1 unit gives,

g (x) = -2x⁵ - 1

Thus, The function results after applying the sequence of transformations to f(x) = x⁵ is,

⇒ g(x) = -2x⁵ - 1.

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Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.

Answers

The frequency of the class 86-89 is 1/3.The frequency of the class 90-93 is 2/5.The frequency of the class 94-97 is 4/15.This means that a total of 15 dormancy periods were recorded.

How to calculate a probability?

The parameters that are needed to calculate a probability are listed as follows:

Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.

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Use the histogram to answer the following questions.FrequencyThe frequency of the class 90-93 isThe frequency

Please answer this question now in two minutes

Please answer this question now in two minutes

Answers

Answer:

the slope equation is y2 - y1 divided by x2 - x1

Step-by-step explanation:

so the answer would be 3 over 2 because of this method

Answer:

3/2

Step-by-step explanation:

Use the easy rise over run method.

start at the point (50,20) then go up 3 units and 2 units to the right to get the next point.

3/2 should be the slope.

Hope I helped you!


Ciana earns an hourly wage of $30 at her job. In order to purchase her sneakers she will have to take time off work, so each hour away from her job
costs her $30 in lost Income. Assume that ciana travel time is the same each way (to and from the store) and that it will take her 30 minutes once
she reaches a store to complete her shopping. Assume throughout the question that ciara incurs no additional costs other than the sneakers, such as
gas.

complete the following table by computing the opportunity cost of ciana’s time and the total cost of shopping at each location

Ciana earns an hourly wage of $30 at her job. In order to purchase her sneakers she will have to take

Answers

Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.

How to determine the opportunity cost?

Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:

Total economic cost:

Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144

Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131

Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135

Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).

Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.  

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What is the result when 9r^3 + 27x^2 + 11x +1 is divided by 3x + 1?​

Answers

Answer:

the answer is 3x^2 + 8x + 1

Step-by-step explanation:

(I used x as the variable due to the invalid difference of variables in your question )

To find the correct answer, I had to use polynomial division.

(9 x 3 + 27 x 2 + 11 x + 1) / (3 x + 1)

= ( 3 x + 1 ) ( 3 x 2 + 8 x + 1 ) / (3 x + 1)

= 3 x 2 + 8 x + 1

factor trinomials x^2-x-6=?​

Answers

Answer:

(x−2)(x+3)

Step-by-step explanation:

x²-x-6=x²+3x−2x−6=x(x+3)−2(x+3)=(x−2)(x+3)

Solve for x. 6x-10≤8 or 1/3x+6>12 PLEASE HELP and show work

Answers

The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

Given two equations  1)6x-10<8 and 2) \(\frac{x}{3}\)+6 > 12

Solving the above equations

1) 6x-10≤8

⇒6x ≤ 18

⇒X≤ 3

⇒x ≤ 3 i.e.  x ∈ (-infinity,3]

2)\(\frac{x}{3}\)+6 > 12

⇒\(\frac{x}{3}\) > 6

⇒x>18

⇒ x > 18 i.e.  x ∈ (18,infinity)

Therefore,The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

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NEED HELP ASAP PLEASE! BRAINLIEST TO RIGHT ANSWER! For two similar triangles ABC and DEF, the scale factor of ∆ABC to ∆DEF is 2 : 3. If AB = 2(BC) and DE = 3(BC), what is EF?
A. 6BC
B. 2BC
C. 3BC
D. 1.5BC

Answers

Answer:

Assuming the similarity is that BC scales to EF, answer is

D. 1.5BC

Step-by-step explanation:

Because the triangles are smilar, AB/BC = DE/EF

If AB = 2BC

then DE = 2EF

but also DE = 3BC

so 2EF = 3BC

EF = 1.5BC

In a study of the impact of smoking on birth weight, researchers analyze birth weights (in grams) for babies born to 189 women who gave birth in 1989 at a hospital in Massachusetts. In the group, 74 of the women were categorized as smokers and 115 as non-smokers. The difference in the two sample mean birth weights (non-smokers minus smokers) is 281.7 grams and the 95% confidence interval is (76.5, 486.9). Which gives the best interpretation of what we can conclude about the impact of smoking on birth weight

Answers

Answer:

Given:

Total women -  189

Smokers - 74

Non-smokers - 115

The difference in 2 samples mean birth weight = 281.7 grams

95% confident that the mean weight = between 76.5 grams to 486.9  

solution:

The best interpretation would be -

95% confident that the babies of nonsmokers have a mean weight between 76.5 grams to 486.9 grams which is much more than the babies of women smokes by comparing smokers to nonsmokers from given data.

a triangle is to have sides of lengths a and b. find the angle between these sides that maximizes the area of the triangle

Answers

The angle between the two sides of lengths a and b that maximizes the area of the triangle is θ = π/2.

What is the formula for finding the area of a triangle?

The area of a triangle whose sides of lengths a and b with an angle θ between them is

A = 1/2ab sinθ

Calculation:

The given triangle has two sides of lengths a and b.

Consider θ is the angle between the a and b sides. Then the area of the triangle is

A = 1/2ab sinθ

For maximizing the area of the triangle, derivating the area we have and equate to zero i.e.,

dA/dθ = 0

⇒ dA/dθ = 1/2 ab cosθ = 0

⇒ cosθ = 0

∴ θ = π/2

And the condition for the maximum area is d²A/dθ² < 0.

I.e., d²A/dθ² = -1/2ab sinθ

⇒ d²A/dθ² = -1/2ab sin(π/2) = -1/2ab < 0

So, the maximum area is  

Δ(max) = 1/2 ab sin(π/2) = 1/2ab

Thus, the angle between the two sides of lengths a and b of a triangle is π/2 when its area is maximum.

Learn more about the area of a triangle at the following link:

https://brainly.com/question/23736404

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A sofa-set was brought for Rs.10000. Its value depreciated at the rate of 10% per annum. Find its value after one year​

Answers

Answer:

Value after one year = Rs 9000

Step-by-step explanation:

The depreciation refers to a reduction in value of the asset (sofa-set) due to usage and other factors. The depreciation charge at the rate of 10% means that the reduction in value at 10% of cost per year.

Depreciation per year = 10000 * 0.1 = Rs 1000

So, the value after one year will be,

Value after one year = 10000 - 1000

Value after one year = Rs 9000

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