Answer:
D
Step-by-step explanation:
It matches all specified equations.
Train tracks are made of metal. Consequently, they expand when it's warm and shrink when it's cold. When riding in a train, you hear the clickety-clack of the wheels going over small gaps left in the tracks to allow for this expansion. Suppose you were a beginner at laying railroad tracks and forgot to put in the gaps. Instead, you made a track 01 mile long that was firmly fixed at each end. On a hot day, suppose the track expanded by A = 8 feet and therefore buckled up in the middle, creating a triangle.
The height of the triangle that forms the train track is 145,38 ft
How to calculate the height of the triangle?To calculate the height of the triangle we must take into account the information provided by
Base of the triangle = 1 mile = 5280 feetRailroad track expansion = 8 feetAccording to the above, we must perform the following operations:
5280 ÷ 2 = 26408 ÷ 2 = 42640 + 4 = 2644
Subsequently, we must apply the Pythagorean theorem to find the height of the triangle having 2 data:
Base: 2640ftHypotenuse: 2644 ft2644² = x² + 2640²x² = 2644² - 2640²x = \(\sqrt[2]{2644^{2} + 2640^{2}}\).x = \(\sqrt[2]{21137}\)x = 145,38 ftThat makes x approximately 145,38 ft.
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can you find the determinant of a non square matrix
No, the determinant of a matrix can only be calculated for square matrices. A square matrix has an equal number of rows and columns, while a non-square matrix has a different number of rows and columns.
The determinant is a mathematical property that is defined for square matrices only. It is a scalar value that represents certain characteristics of the matrix. To calculate the determinant of a square matrix, you can use various methods such as expansion by minors, cofactor expansion, or using the properties of determinants.
For example, let's consider a 3x2 non-square matrix:
```
A = [[1, 2],
[3, 4],
[5, 6]]
```
Since A is a non-square matrix, we cannot calculate its determinant.
the determinant is a concept applicable only to square matrices. Non-square matrices do not have a determinant.
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45 to 60 Identify the precent of change?
Answer:
33 1/3 %increase
Step-by-step explanation:
You take the difference of 60 and 45 which is 15 and divide that by 45
\(\frac{15}{45}\) i s.3333333 as a percent this would be 33 1/3 % increase
4n+2p-10=-2n+8p+2 someone pls solve this!
Answer:
Step-by-step explanation:
in standard form : 2n-6p = 12
evaluate: n=3p+6
pls can you be more specific next time, hope one of these answers your question
HELP ITS DUE IN 5 MIN LIKE LITERALLY Find the the solution(s) to the system of f(x) and g(x) graphically. Select the
solution(s) to the system. *
Answer:
I believe it would be the 3rd answer.
Step-by-step explanation:
That answer is the only one where not only do one of the systems have that point but they both do. That is where they intercept. Plus when you fit in the x and y points in the equations they match up. Hope that helps!
can someone explain this to me
Caleb and Maddie are using their grandma’s oatmeal raisin cookie recipe. The recipe calls for 2 cups of flour for every 3 cups of oatmeal.
Caleb only has 1 1/2 cups of flour. How many cups of oatmeal should he use to follow the recipe correctly?
A surveyor wants to know the length of a tunnel built through a mountain. According to his equipment, he is located 212 meters from one entrance of the tunnel, at an angle of 527 degrees to the perpendicular. Also according to his equipment, he is 119 meters from the other entrance of the tunnel, at an angle of 14 degrees to the perpendicular. Based on these measurements, find the length of the entire tunnel. Do not round any intermediate computations. Round your answer to the nearest tenth.
The length of the entire tunnel is 405.5 + 119 = 524.5 meters. Rounded to the nearest tenth, the length of the tunnel is 524.5 meters.
To find the length of the tunnel, we can use trigonometry. Let's start by drawing a diagram. We can represent the two entrances of the tunnel as points A and B, with the surveyor located at point C. We know that AC is 212 meters and angle ACB is 527 degrees to the perpendicular. We also know that BC is 119 meters and angle BAC is 14 degrees to the perpendicular.
Using the law of sines, we can find the length of AB:
AB/sin(139 degrees) = 212/sin(34 degrees)
AB = sin(139 degrees)*212/sin(34 degrees)
AB = 405.5 meters
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5/10 = % theres no number at the % cuz its blank
Answer:
5/10=50%
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
Salmon and Federico are choosing a number between 1 & 100, picking a color from ROY G BIV, and picking a letter out of "INDIANA". Either one will go first. State the probability of each situation as a percentage, fraction and decimal.
1. Salmon chooses a composite number, A cool color( G BIV) and an A.
2.Federico chooses a prime number, A color starting with a vowel, and a constanant.
3.Either chooses a number divisible by 7 or 8, any color, and a vowel.
4. Either chooses a number divisible by 5 or 4, blue or green, and L or N
To determine the probabilities, we need to consider the number of favorable outcomes for each situation divided by the total number of possible outcomes.
1.Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)
2. Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7%
3. Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)
4.Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)
1. Salmon chooses a composite number, a cool color (G, B, I, or V), and an A:
a) Composite numbers between 1 and 100: There are 57 composite numbers in this range.
b) Cool colors (G, B, I, or V): There are 4 cool colors.
c) The letter A: There is 1 A in "INDIANA."
Total favorable outcomes: 57 (composite numbers) * 4 (cool colors) * 1 (A) = 228
Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 1 (possible letter) = 700
Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)
2. Federico chooses a prime number, a color starting with a vowel (E or I), and a consonant:
a) Prime numbers between 1 and 100: There are 25 prime numbers in this range.
b) Colors starting with a vowel (E or I): There are 2 colors starting with a vowel.
c) Consonants in "INDIANA": There are 4 consonants.
Total favorable outcomes: 25 (prime numbers) * 2 (vowel colors) * 4 (consonants) = 200
Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 5 (possible letters) = 3500
Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7% (rounded to one decimal place)
3. Either chooses a number divisible by 7 or 8, any color, and a vowel:
a) Numbers divisible by 7 or 8: There are 24 numbers divisible by 7 or 8 in the range of 1 to 100.
b) Any color: There are 7 possible colors.
c) Vowels in "INDIANA": There are 3 vowels.
Total favorable outcomes: 24 (divisible numbers) * 7 (possible colors) * 3 (vowels) = 504
Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 3 (possible letters) = 2100
Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)
4. Either chooses a number divisible by 5 or 4, blue or green, and L or N:
a) Numbers divisible by 5 or 4: There are 45 numbers divisible by 5 or 4 in the range of 1 to 100.
b) Blue or green colors: There are 2 possible colors (blue or green).
c) L or N in "INDIANA": There are 2 letters (L or N).
Total favorable outcomes: 45 (divisible numbers) * 2 (possible colors) * 2 (letters) = 180
Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 2 (possible letters) = 1400
Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)
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Some studies show that high school students are more successful when the school day begins after 9 am. To test this theory,
Lake High School changes its school day start time from 7 am to 9 am. Which of the following methods would best describe
the study above?
O A experimental study
OB. observational study
OC. survey
OD
controlled experiment
a
Reset
Submit
Answer:
It's probably B
Step-by-step explanation:
Kevin and Randy Muise have a jar containing 62 coins, all of which are either quarters or nickels. The total value of the coins in the jar is
$7.90. How many of each type of coin do they have?
Answer: 38 nickels, 24 quarters
Step-by-step explanation:
x=number of quarters
y=number of nickels
x + y = 62
$0.25x + $0.05y = $7.90
solve for x in terms of y, then substitute into the 2nd equation:
x = 62-y
.25(62-y) + .05y = 7.90
15.5 - .25y + .05y = 7.90
15.5 - .20y = 7.90
-.20y = -7.6
y = -7.6/-.20
y = 38
now solve for x:
x + 38 = 62
x = 62-38 = 24
x = 24
pls put the answers in order ty!! I really appreciate giving me the answers!! :)))
Answer:
48 pizzas
60 pizzas
72 pizzas
Step-by-step explanation:
So pretty straight forward
So first you divide the amount of cheese by 3
so for the first one you have 18 pounds of cheese
Now 18/3=6
Now using that quotient (6) you multiply that by 8
6*8=48
So 18 pounds of cheese is 48 pizzas
Same thing with the others, even with the decimal one
Use the given table to complete the table of values for the function.
From the table:
at x = -1 , f(x) = -4 and g(x) = 4
So, h(x) = f(x) + g(x) = -4 + 4 = 0
at x = 0 , f(x) = -1 and g(x) = 1
So, h(x) = f(x) + g(x) = -1 + 1 = 0
At x = 1 , f(x) = 2 and g(x) = 1
So, h(x) = f(x) + g(x) = 2 + 1 = 3
At x = 2 , f(x) = 5 and g(x) = 4
so, h(x) = f(x) + g(x) = 5 + 4 = 9
At x = 3 , f(x) = 8 and g(x) = 9
So, h(x) = 8 + 9 = 17
See the attached figure which represents the table between x and h(x)
In a survey, 20 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $37.7 and standard deviation of $16.7. Estimate how much a typical parent would spend on their child's birthday gift (use a 95% confidence level). Give your answers to 3 decimal places.Express your answer in the format of ¯xx¯ ±± E. $ ±± $
At a 95% confidence level, a typical parent would spend around $37.7 ± $8.306 on their child's last birthday gift.
To estimate the typical spending of a parent on their child's birthday gift, we can use a confidence interval based on the sample mean and standard deviation. With a sample size of 20, we can assume that the sample mean follows a normal distribution with mean = $37.7 and standard deviation = $16.7/sqrt(20) = $3.733. Using a t-distribution with 19 degrees of freedom (n-1), the 95% confidence interval can be calculated as:
$37.7 ± t_{0.025, 19}\times$($16.7/\sqrt{20}$)
Where $t_{0.025, 19}$ is the 2-tailed t-value with 19 degrees of freedom and a 95% confidence level, which can be looked up in a t-table or calculated using a statistical software. In this case, $t_{0.025, 19}$ is approximately 2.093. Substituting the values, we get:
$37.7 ± 2.093 \times$($16.7/\sqrt{20}$) = $37.7 ± $8.306
Therefore, a typical parent would spend around $37.7 ± $8.306 on their child's last birthday gift, at a 95% confidence level.
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Choose a company with your option and explain how
that company can create a business model? There are 8 steps in the
business module, explain each step based on the company which you
have chosen.
Company: Amazon, 8 Steps in the Business Model: Define the value proposition. What value does Amazon offer its customers? Amazon offers a convenient and affordable way to shop for a wide variety of products.
Identify the target market. Who are Amazon's customers? Amazon's target market is people who want to buy products online.
Determine the revenue streams. How does Amazon make money? Amazon makes money through product sales, advertising, and subscription fees.
Assess the cost structure. What are Amazon's costs? Amazon's costs include salaries, rent, and marketing.
Develop a marketing plan. How will Amazon reach its target market? Amazon's marketing plan includes online advertising, search engine optimization, and social media marketing.
Create a sales strategy. How will Amazon sell its products? Amazon's sales strategy includes a focus on customer service and convenience.
Build a team. What skills and experience does Amazon need to build a successful business? Amazon needs a team with a variety of skills, including product development, marketing, and sales.
Continuously improve. How will Amazon ensure that its business model is successful? Amazon will continuously improve its business model by listening to customer feedback and adapting to changes in the market.
The 8 steps in the business model are essential for any company that wants to be successful. By following these steps, companies can ensure that they are offering a valuable product or service to the right customers, and that they are able to make money.
In the case of Amazon, the company has clearly defined its value proposition, target market, and revenue streams.
Amazon's marketing plan is also effective, and the company has built a team with the skills and experience necessary to be successful. Finally, Amazon is committed to continuous improvement, which is why the company has been so successful over the years.
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How many solutions does the system of equations shown below have?
(x+y=4
Ix-y=6
A
no solution
B. infinitely many solutions
one solution with a y value of 5
D
one solution with a y value of -1
Answer:
one solution with a y value of 5
Step-by-step explanation:
/| x+y-4 = 0| x-y-6 = 0
We try to solve the equation: x+y-4 = 0
x+y-4 = 0 // - x-4
y = -(x-4)
y = 4-x
We insert the solution into one of the initial equations of our system of equations
We get a system of equations:
/| x+x-6-4 = 0| y = 4-x
2*x-10 = 0 // + 10
2*x = 10 // : 2
x = 10/2
x = 5
We insert the solution into one of the initial equations of our system of equations
For y = 4-x:
y = 4-5
y = -1
We get a system of equations:
/| y = -1| x = 5
Area pf triangle ?????
Answer:
10
Step-by-step explanation:
using 1/2 base times height, the base being 5 and height being 4 we multiply to get 20, then multiply by 1/2 to get 10.
Which measure of variability is most general, and hence least useful? a). Median b). Range c). s d). Median Deviation.
As range doesn't reveal anything about the distributive property of the data, it is the least helpful measure of variability because it is the most generic.
1. Sort the data either ascendingly or descendingly.
2. Determine how many items are in the data set.
3. The median is the number in the middle of the list if the number of items is odd.
4. The median is the average of the two middle numbers in the list if the number of items is even.
To figure out the range:
1. Sort the data either ascendingly or descendingly.
2. To determine the range, deduct the smallest number from the largest.
As range does not reveal anything about the distribution of the data, it is the least useful measure of variability because it is the most generic. Range does not indicate where the values fall within the range; rather, it measures the difference between the highest and lowest values in a data collection.
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What is 127 kg to lbs
Answer:
279.987
this is da answer
Step-by-step explanation:
There are 280.035 lbs in 127 kilograms. The answer is obtained by applying the unit conversion.
What is unit conversion?
A unit conversion is used to express the same property in a different unit of measurement. For instance, you could use minutes instead of hours to represent time or feet instead of miles to indicate distance. It commonly occurs when measurements are provided in one system of units, such as feet, but are required in a different system, such as chains.
Now,
we have been given 127 kilograms which are to be converted into pounds and to be represented in lbs.
We know that 1 kilogram = 2.205 lbs (approx)
Therefore,
⇒127 kilograms = 127 * 2.205
⇒127 kilograms = 280.035 lbs
Hence,
There are 280.035 lbs in 127 kilograms.
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Procter and Gamble (PG) paid an annual dividend of $2.95 in 2018. You expect PG to increase its dividends by 7.4% per year for the next five years (through 2023), and thereafter by 2.6% per year. If the appropriate equity cost of capital for Procter and Gamble is 8.6% per year, use the dividend-discount model to estimate its value per share at the end of 2018.
The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.
To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.
First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:
Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22
After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)
where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.
In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:
PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.
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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.
To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:
Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22
After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.
In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.
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Julia has walked 5000 steps each day for one week. Her weekly steps target is to walk 50 000 steps.
What percent of her weekly steps target did she achieve?
help... :( I suck at math
Answer:
70%
Step-by-step explanation:
Let's start by finding how many steps she walked in one week...
5000 steps per day*7 days=35000 steps
Now we find what percent of 50000 steps 35000 is...
35000=n%*50000
35000=n/100*50000
35000=500n
Divide both sides by 500
n=70
70%
I need help ASAP mean absolute deviation (mad)
The absolute deviation for the observation of 16 in the data-set is given as follows:
5.
How to calculate the mean of a data-set?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.
Hence the mean of the data-set in this problem is given as follows:
(19 + 16 + 4 + 9 + 7)/5 = 11.
The absolute deviation of 16 is given by the difference between 16 and the mean of 11, hence:
16 - 11 = 5.
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NEED HELP ASAP PLS ^^
Rearrange this equation
y+x=2
Answer:
y=-x+2
Step-by-step explanation:
y+x-x=2+x
y=-x+2
a data set consists of the data given below plus one more data point. when the additional point is included in the data set the sample mean of the resulting data set is 26.5. what is the value of the additional data point?23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19
The value of the additional data point is 36
To find the value of the additional data point, we can use the concept of the sample mean.
Given the data set: 23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19.
The sample mean of this data set is 26.5.
To find the value of the additional data point, we can use the formula for the sample mean:
(sample mean) = (sum of all data points) / (number of data points)
In this case, we have 11 data points in the original data set. Let's denote the value of the additional data point as x.
Therefore, we can set up the equation:
26.5 = (23 + 28 + 20 + 33 + 42 + 12 + 19 + 50 + 36 + 25 + 19 + x) / 12
Multiplying both sides of the equation by 12 to eliminate the fraction, we have:
318 = 282 + x
Subtracting 282 from both sides of the equation, we find:
x = 318 - 282
x = 36
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.
A marble statue has a mass of 1600 kg and is
270 cm tall.
The density of marble is 2500 kg/m³.
Justin makes a mathematically similar model
of the statue out of clay.
The model is 45 cm tall and has a density of
1200 kg/m³.
What is the mass of Justin's model?
Give your answer to 3 significant figures
Answer:
3.56 kg
Step-by-step explanation:
You want the mass of a model that is 45 cm tall and has a density of 1200 kg/m³ when the statue it is modeling is 270 cm tall, has a density of 2500 kg/m³, and a mass of 1600 kg.
VolumeThe ratio of volumes of the model to the statue is the cube of the ratio of their heights:
Vm/Vs = (Hm/Hs)³
Vm = Vs(Hm/Hs)³ = (1600 kg)/(2500 kg/m³)·((45 cm)/(270 cm))³
Vm ≈ 0.002963 m³
MassThe mass of the model is the product of its volume and its density:
Mm = Vm·ρ = (0.002963 m³)(1200 kg/m³) ≈ 3.56 kg
The mass of Justin's model is about 3.56 kg.
__
Additional comment
The relationship between density, volume, and mass is ...
ρ = mass/volume
This can be rearranged to ...
volume = mass/ρ
Which is the expression we used for Vs in the first section above.
(We used V and H for volume and height with 'm' and 's' signifying the model and the statue, respectively.)
<95141404393>
The mass of Justin's model is approximately 3.57 kg., rounded to 3 significant figures.
How to find the mass of Justin's modelTo find the mass of Justin's model, we can use the concept of mathematical similarity.
Mathematical similarity means that corresponding dimensions of two objects are proportional. In this case, Since the densities are also given, we can use the volume ratio to find the mass ratio.
Let's calculate the volume ratio first:
Volume ratio = (Height of model / Height of statue)^3
= (45 cm / 270 cm)^3
= (0.1667)^3
= 0.00463
Now, using the density ratio:
Density ratio = Density of model / Density of statue
= 1200 kg/m³ / 2500 kg/m³
= 0.48
Finally, we can find the mass of Justin's model by multiplying the mass of the statue by the volume ratio and density ratio:
Mass of Justin's model = Mass of statue * Volume ratio * Density ratio
= 1600 kg * 0.00463 * 0.48
= 3.5712 kg
Rounding to 3 significant figures, the mass of Justin's model is approximately 3.57 kg.
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Please help. Will give brainliest.
Answer:
2
Step-by-step explanation:
Answer:
the answer to the question is 2
I WILL MARK BRAINLIEST.
Find the product of 3.2 x 1012 and 4.25 x 109. Write the final answer in scientific notation.
1.36 x 1021
13.6 x 1021
1.36 x 1022
13.6 x 1022
The product in scientific notation is 1.36 x 10^22
How to find the product of 3.2 x 1012 and 4.25 x 109?The product expression is given as:
3.2 x 1012 and 4.25 x 109
Express the product, properly
3.2 x 10^12 x 4.25 x 10^9
Regroup the factors
3.2 x 4.25 x 10^12 x 10^9
Evaluate the product
13.6 x 10^21
Rewrite as:
1.36 x 10^22
Hence, the product in scientific notation is 1.36 x 10^22
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Answer:
c 1.36 x 1012
explanation:
What is the median value of the data set shown on the line plot?
Enter your answer in the box.
Answer:
6
Step-by-step explanation:
Hope this helps! have a great day!
Which of the following R-squared values is the most satisfactory?
Mutiple Choice
a. 0.3
b. 0.5
c. 0
d. 75
e. −0.5
Among the given options, an R-squared value of 0.5 is the most satisfactory as it indicates a moderate level of relationship between the variables. So, the correct option is b.
R-squared is a statistical measure that represents the proportion of the variance in the dependent variable that can be explained by the independent variable(s). It ranges from 0 to 1, with 1 indicating a perfect fit and 0 indicating no relationship between the variables.
In this case, an R-squared value of 0.5 means that 50% of the variance in the dependent variable can be explained by the independent variable(s). This is considered a moderate level of explanatory power.
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An equation is shown below:
3 (2 x - 7) = 3
Part A: How many solutions does this equation have?
Part B: What are the solutions to this equation? Show your work
The solution of the equation 3(2x - 7) = 3 is x = 4. The equation has only one solution.
What is an equation?An equation is a mathematical expression that shows that two mathematical expressions are equal. Equation shows the relationships between variables, numbers and constant.
Therefore, let's solve the equation 3(2x - 7) = 3 as follows
3(2x - 7) = 3
Open the parenthesis
3(2x - 7) = 3
6x - 21 = 3
add 21 to both sides of the equation
6x - 21 = 3
6x - 21 + 21 = 3 + 21
6x = 24
divide both sides of the equation by 6
6x / 6 = 24 / 6
x = 4
Therefore, the equation has one solution which is x = 4.
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