Refer to the figure and find the volume generated by rotating the given region about the specified line. ℛ1 about AB
Answers
Answer:
I guess that the area we care about is the yellow area, delimited by the functions.
f(x) = 8*(x)^(1/4)
and the line with the slope s= 8/1 = 8 (as the line goes through the points (0,0) and (1, 8)).
g(x) = 8*x
then we want tofind the area between x = 0 and x = 1, of f(x) - g(x)
then we have:
[tex]I = \int\limits^1_0 {f(x)} \, dx = \int\limits^1_0 {8*\sqrt[4]{x} )} \, dx = (8*(4/5)*\sqrt[4]{1^5} - 8*(4/5)*\sqrt[4]{0^5}) = 6.4[/tex]
now, for the area under the g(x) we have:
[tex]I2 = \int\limits^1_0 {g(x)} \, dx = \int\limits^1_0 {8x} \, dx = (8/2)*1^2 - (8/2)*0^2 = 4.[/tex]
then I - I2 = 6.4 - 4 = 2.4
The yellow area is 2.4
And then, if we rotate this about the line AB, the volume will be:
B = 2*pi*2.4 = 2*3.14*2.4 = 15.075
The figure will be something like a half spheroid, with a hole in the shape of a cone inside of it.
Related Questions
A coin will be flipped repeatedly until the sequence TTH (tail/tail/head) comes up. Successive flips are independent, and the coin has probability p of coming up heads. Let N,TTH be the number of coin flips until TTH first appears. What value of p minimizes Ex[N,TTH]
Answers
Answer:
[tex]P = \frac{1}{3}[/tex]
Step-by-step explanation:
The calculation of the value of p minimizes is shown below:-
We will assume the probability of coming heads be p
p(H) = p
p(T) = 1 - P
Now, H and T are only outcomes of flipping a coin
So,
P(TTH) = (1 - P) = (1 - P) (1 - P) P
= (1 + P^2 - 2 P) P
= P^3 - 2P^2 + P
In order to less N,TTH
we need to increase P(TTH)
The equation will be
[tex]\frac{d P(TTH)}{dP} = 0[/tex]
3P^2 - 4P + 1 = 0
(3P - 1) (P - 1) = 0
P = 1 and 1 ÷ 3
For P(TTH) to be maximum
[tex]\frac{d^2 P(TTH)}{dP} < 0 for\ P\ critical\\\\\frac{d (3P^2 - 4P - 1)}{dP}[/tex]
= 6P - 4
and
(6P - 4) is negative which is for
[tex]P = \frac{1}{3}[/tex]
The top speed you will ever need
to go in a parking lot is
O A. 20 mph
OB. 10 mph
OC. 1 mph
D. 15 mph
Answers
Answer:
10 mph
Step-by-step explanation:
The top speed you will ever need to go in a parking lot is 10 mph.
15 mph is the fastest you should ever drive in a parking lot. The right answer is D.
What is National Motorists Association?The National Motorists Association was established in 1982 and is a divisive nonprofit advocacy group representing drivers in North America.
The Association promotes engineering standards that have been demonstrated to be effective, justly drafted and applied traffic legislation, and full due process for drivers.
Given to give information about the top speed you will ever need
to go into a parking lot is,
A group of drivers came together to form the National Motorists Association, Inc., a non-profit organization, to defend drivers' rights in the legal system, on the highways, and inside our cars.
Usually, there are marked speed limits in parking lots. Obey speed limits when you see them to avoid tickets and to keep everyone safe.
The National Motorists Association advises driving no faster than 15 miles per hour at all times when there are no written speed limits.
Therefore, the correct option is D.
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The largest fish ever caught in Lake A weighed 650 pounds. This is 208.2 pounds less than seven times the weight of the largest fish ever caught in Lake B. Find the weight of the largest fish caught in Lake B nts
Answers
Answer:
122.6 pounds
Step-by-step explanation:
Let's call the weight of the largest fish from lake A 'x', and the weight of the largest fish from lake B 'y'.
If x is 208.2 pounds less than seven times y, we have that:
[tex]x = 7y - 208.2[/tex]
We know that x is equal 650 pounds, so we can find y:
[tex]650 = 7y - 208.2[/tex]
[tex]7y = 650 + 208.2[/tex]
[tex]7y = 858.2[/tex]
[tex]y = 122.6\ pounds[/tex]
So the weight of the largest fish caught in Lake B is 122.6 pounds
Caleb puppy weighs 2250 grams if the puppy weight 600 grams at the last visit to the vets office what is the percent increase in the puppy's weight rounded to the nearest whole number
Answers
Answer: 375%
Step-by-step explanation:
375%. Simply do 2250/600 to get 3.75, or 375%.
Hope it helps <3
Triangles M Z K and Q Z K share side Z K. Angles M K Z and Z K Q are congruent. Angles K Z M and K Z Q are both right angles. Which rigid transformation would map TriangleMZK to TriangleQZK? a rotation about point K a reflection across the line containing MZ a reflection across the line containing ZK a rotation about point Z
Answers
Answer:
a reflection across the line containing ZK
Step-by-step explanation:
If you draw the figure, you see it is symmetrical about line ZK. Hence reflection across that line (ZK) will map one triangle to the other.
Answer:
reflection across the line containing ZK
Step-by-step explanation:
How To Solve This Problem
1. Understand what has to be true for each transformation.
Dilation: triangles NOT congruentTranslation: triangles in same directionRotation: triangles in different direction, do not share a sideReflection: share a side OR a line can be drawn equidistant from both triangles at all points on the segment side, MUST BE congruent2. Determine what characteristics the triangle fits.
3. The answer is is D. Reflections
4. As you can see the triangles are congruent by ASA (angle-side-angle).
5. If reflected across line ZK the pre-image is the same as the image. Therefore this is true.
Which is a correct first step in solving 5-2x < 8x - 3?
0 5s 6x - 3
O 3x < 8x - 3
O 5 < 10x - 3
O2 - 2x < 8x
Answers
Answer:
5 < 10x - 3
Step-by-step explanation:
The answer is 5 < 10x - 3 because you are adding 2x to both sides of the inequality.
a family has five children. the probability of having a girl is 1/2. whats probability of having at leasr 4 girls g'
Answers
Answer:
Probability of having at least 4 Girls
= 0.6875
Step-by-step explanation:
Probability of having at least 4 Girls is 1-probability of having exactly 3 girls
Total number of children= 5 = N
Probability of having a girl p = 0.5
Probability of not having a girl q= 0.5
X= 3
Probability of at least 4 girls is given by
Probability= NCX(p)^x(q)^(N-x)
Probability = 5C3(0.5)^3(0.5)^(5-3)
Probability = 5C3(0.5)^3(0.5)^2
Probability= 5!/3!2!(0.5)^3(0.5)^2
Probability= 10(0.125)(0.25)
Probability= 0.3125
Probability of having at least 4 Girls
= 1- 0.3125
= 0.6875
A market researcher finds the price of several brands of fabric softener. What is the level of measurement of the data?
Answers
Answer:
ratio
Step-by-step explanation:
The levels of measurement are ...
NominalOrdinalIntervalRatioBoth interval and ratio level measurements deal with numerical data. The difference is that ratio-level measurements use a numerical scale that includes an absolute zero, and scale values are proportional to the quantity they represent.
Price data is a ratio level of measurement.
CAN I GET HELP I DONT LIKE WAITING TY
Answers
Answer:
Answer D: Construct Y because it constructs the circumcenter.
Step-by-step explanation:
Point E has equal distance to L,M and N, because it is the center of a circle that goes through all 3 of them. The circumcenter is the center of a circle circumscribed about (drawn around) the triangle.
The value of 82 is between which two integers?
Answers
Hey there!
Let's look at the squares of all of our answer options. We will compare them to eighty two to see which it belongs in.
A. 36 and 49.
B. 49 and 64.
C. 64 and 81.
D. 81 and 100
As you can see, 82 is in between 81 and 100, so the answer is D. 9 and 10.
Also, the square root of 82 is about 9.05, and this fits our answer.
Have a wonderful day!
The value of √82 is between 9 and 10 integers.
What is Number system?A number system is defined as a system of writing to express numbers.
We need to find the value of √82 is between which two integers.
The value of √82 is 9.05
Square root of eighty two is nine point zero five
9.05 is in between 9 and 10
Nine point zero five is between nine and ten.
Hence, the value of √82 is between 9 and 10 integers.
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Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and prepreview ads before the movie starts. Many complain that the time devoted to previews is too long. A pre-liminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was 6 minutes. A. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 72 seconds, what sample size should be used? B. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 1 minute, what sample size should be used?
Answers
Answer:
Using a 90% confidence level
A. A sample size of 68 should be used.
B. A sample size of 98 should be used.
Step-by-step explanation:
I think there was a small typing mistake and the confidence level was left out. I will use a 90% confidence level.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
A. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 72 seconds, what sample size should be used?
We have the standard deviation in minutes, so the margin of error should be in minutes.
72 seconds is 72/60 = 1.2 minutes.
So we need a sample size of n, and n is found when M = 1.2. We have that [tex]\sigma = 6[/tex]. So
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
[tex]1.2 = 1.645*\frac{6}{\sqrt{n}}[/tex]
[tex]1.2\sqrt{n} = 6*1.645[/tex]
[tex]\sqrt{n} = \frac{6*1.645}{1.2}[/tex]
[tex](\sqrt{n})^{2} = (\frac{6*1.645}{1.2})^{2}[/tex]
[tex]n = 67.65[/tex]
Rounding up.
A sample size of 68 should be used.
B. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 1 minute, what sample size should be used?
Same logic as above, just use M = 1.
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
[tex]1 = 1.645*\frac{6}{\sqrt{n}}[/tex]
[tex]\sqrt{n} = 6*1.645[/tex]
[tex](\sqrt{n})^{2} = (6*1.645)^2[/tex]
[tex]n = 97.42[/tex]
Rounding up
A sample size of 98 should be used.
Please help me this math is timed it's in Algebra. I'll double points. 1. (x^-2 y^3)^-1 2. (5x^3/y^2)^4 3. 36x^3y^-3/6x^5y^-6 Maybe more, but right now that's it.
Answers
Answer:
1. [tex]\frac{x^2}{y^3}[/tex]
2. [tex]\frac{625x^{12}}{y^8}[/tex]
3. [tex]\frac{6}{x^2y^9}[/tex]
Step-by-step explanation:
Remember, when you exponent an exponent, you multiply the powers.
When you multiply exponents, you add them.
When you divide exponents, you subtract them.
1.
Step 1: Multiply exponents
[tex]x^2y^{-3}[/tex]
Step 2: Move [tex]y^{-3}[/tex] to the denominator
[tex]\frac{x^2}{y^3}[/tex]
2.
Step 1: Multiply exponents
[tex]\frac{5^4(x^{3})^{4}}{(y^2)^4}[/tex]
Step 2: Power
[tex]\frac{625x^{12}}{y^8}[/tex]
3.
Step 1: Simplify
[tex]\frac{6x^3y^{-3}}{x^5y^6}[/tex]
Step 2: Remove terms
[tex]\frac{6y^{-3}}{x^2y^6}[/tex]
Step 3: Move [tex]y^{-3}[/tex] to the denominator
[tex]\frac{6}{x^2y^6y^3}[/tex]
Step 4: Combine like terms
[tex]\frac{6}{x^2y^9}[/tex]
Kip is going to meet his family.
The table shows the number of
kilometers he needs to travel until he
reaches them.
Hour
1
2
3
4
5
6
7
Kilometers
151
131
111
91
71
51
M
Answers
Answer:
From my knowledge I would say M= 31 km
Step-by-step explanation:
For each hour you subtract 20 kilometers.
Since the sixth hour was 51 kilometers,to find how many kilometers for the seventh hour we simply subtract 20 from 51.
51- 20 = 31
I really hope this helps:)
Individuals filing federal income tax returns prior to March 31 received an average refund of $1056. Consider the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15).
a. A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of H0 will support the researcher’s contention.
b. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience a population standard deviation of σσ = $1600 may be assumed. What is the p-value?
c. At αα = .05, what is your conclusion?
d. Repeat the preceding hypothesis test using the critical value approach.
Answers
The α = 0.05 and the p-value (0.034) is less than α, we reject the null hypothesis. There is sufficient evidence to support the researcher's contention that last-minute filers receive lower average tax refunds than early filers. Since the test statistic is more extreme than the critical value, we reject the null hypothesis.
a.
Hypotheses:
Null Hypothesis [tex](H_0)[/tex]: There is no difference in the average tax refund amount between early filers and last-minute filers .
Alternative Hypothesis [tex](H_a)[/tex]: Last-minute filers receive lower average tax refunds than early filers.
Mathematically:
[tex]H_0[/tex]: μ_last_minute = μ_early
[tex]H_a[/tex]: μ_last_minute < μ_early
where:
μ_last_minute = population mean refund for last-minute filers
μ_early = population mean refund for early filers
b.
Given information:
Sample mean for last-minute filers = $910
Population standard deviation (σ) = $1600
Sample size (n) = 400
To calculate the test statistic and the p-value, use the formula:
[tex]z = (\bar x - \mu) / (\sigma / \sqrt n)[/tex]
Where:
[tex]\bar x[/tex] = sample mean
μ = hypothesized population mean under the null hypothesis
σ = population standard deviation
n = sample size
Plugging in the values:
z = ($910 - $1056) / ($1600 / √400)
z = ($910 - $1056) / ($1600 / 20)
z = -$146 / 80
z ≈ -1.825
c.
To find the p-value associated with the test statistic, use a standard normal distribution table. For a one-tailed test with a z-score of -1.825, the p-value is approximately 0.034.
d.
Critical value approach:
To perform the hypothesis test using the critical value approach, we first need to find the critical value corresponding to α = 0.05 and a one-tailed test.
For a significance level (α) of 0.05, the critical value is approximately -1.645.
Now, the test statistic we calculated previously was -1.825.
Conclusion: The p-value is less than α, we reject the [tex](H_0)[/tex].There is sufficient evidence to support the researcher's contention that last-minute filers receive lower average tax refunds than early filers. Since the test statistic is more extreme than the critical value, we reject the null hypothesis.
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How many unique values can be created by forming the fraction $\frac{x}{y}$ where $x$ is either 4, 8, or 12 and $y$ is either 4, 8, or 12?
Answers
Answer:
7 unique values can be created.
[tex]1,2,3,\dfrac{1}{2},\dfrac{1}{3},\dfrac{2}{3},\dfrac{3}{2}[/tex]
Step-by-step explanation:
We need to find unique values that can be created by forming the fraction
[tex]\dfrac{x}{y}[/tex]
where, [tex]x[/tex] is either 4, 8, or 12 and [tex]y[/tex] is either 4, 8, or 12.
Now, possible ordered pairs are (4,4), (4,8), (4,12), (8,4), (8,8), (8,12), (12,4), (12,8), (12,12).
For these ordered pairs the value of [tex]\dfrac{x}{y}[/tex] are:
[tex]\dfrac{4}{4},\dfrac{4}{8},\dfrac{4}{12},\dfrac{8}{4},\dfrac{8}{8},\dfrac{8}{12},\dfrac{12}{4},\dfrac{12}{8},\dfrac{12}{12}[/tex]
[tex]1,\dfrac{1}{2},\dfrac{1}{3},2,1,\dfrac{2}{3},3,\dfrac{3}{2},1[/tex]
Here, 1 is repeated three times. So, unique values are
[tex]1,2,3,\dfrac{1}{2},\dfrac{1}{3},\dfrac{2}{3},\dfrac{3}{2}[/tex]
Therefore, 7 unique values can be created.
If you vertically stretch the exponential function f(x) = 2^x by a factor of 3, what
is the equation of the new function?
A. f(x) = 5^x
B. f(x) = 2(3^x)
C. f(x) = 3(2^x)
D. f(x) = 6^x
Answers
Answer: [tex]C. f(x) = 3(2^x)[/tex].
Step-by-step explanation:
If the graph of function y=f(x) is vertically stretched by a scale factor of 'k', then the new function will be :
[tex]Y=kf(x)[/tex]
The given function : [tex]f(x)=2^x[/tex]
If the given function vertically stretched by a scale factor of '3', then the new function will be :
[tex]Y=3f(x)=3(2^x)[/tex]
Hence, the correct option is [tex]C. f(x) = 3(2^x)[/tex].
Find the area:
A.16
B.64
C.256
D.none of these
Answers
Answer:
64π in²
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
where r is the radius.
The radius of a circle is half the diameter. For the circle shown, the radius is ...
r = d/2 = (16 in)/2 = 8 in
Then the area is ...
A = π(8 in)² = 64π in²
_____
Often, units are left off, so the appropriate choice might be 64π.
_____
If you want to be technically correct (at the expense of getting your answer marked wrong), you can select "None of the above." That is because none of the offered choices have the correct units: square inches. You may want to discuss this with your teacher.
Select the fraction that is equivalent to 2/6 ?
Answers
Answer:
The fraction that is equivalent to 2/6 is 1/3
A company president flew 990 miles in a corporate jet but returned in a smaller plane that could fly only half as fast. If the total travel time was 9 hours, find the speeds of the planes. corporate jet ________ mph smaller plane ________ mph
Answers
I'm not completely sure but I think the answer is:
corporate jet 16.5 mph
smaller plane 33 mph
Good luck
2.
Find the degree of the monomial. 6x8,y5
Answers
Answer:8
Step-by-step explanation:
I’m guessing it’s like 6*x^8?
I need help please!!!!
Answers
Answer:
1/3( x-5)= -2/3
Multiply both sides by 3
x = 3
Step-by-step explanation:
1/3( x-5)= -2/3
Multiply both sides by 3
3*1/3( x-5)= -2/3*3
x-5 = -2
Add 5 to each side
x-5+5 = -2+5
x = 3
Answer:
1/3( x-5)= -2/3
Multiply both sides by 3
x = 3
Step-by-step explanation:
1/3( x-5)= -2/3
Multiply both sides by 3
3*1/3( x-5)= -2/3*3
x-5 = -2
Add 5 to each side
x-5+5 = -2+5
x = 3
Hope this helps!
Which shows the prime factorization of 80? Check all that apply. 2 × 4 × 10 2 × 2 × 2 × 2 × 5 24 × 5 2 × 5 × 8
Answers
Answer:
The Prime Factorization of 80 is, 2 × 4 × 10, 2 × 2 × 2 × 2 × 5 and 2 × 4 × 10
Step-by-step explanation: They are correct, because they all equal 80. 2 × 4 × 10=80 and 2 × 4 × 10=80, and 2 × 2 × 2 × 2 × 5=80.
24 × 5=120, Therefore it's the only incorrect question.
The term 2 x 2 x 2 x 2 x 5 shows the prime factorization of 80.
What is the prime factorization?Prime factorization is the process of dissecting a number into the prime numbers that contribute to its formation when multiplied. In other terms, it is known as the prime factorization of the number when prime numbers are multiplied to get the original number.
Given the number 80
factors of 80 are 2 x 2 x 2 x 2 x 5
and given factors,
2 x 4 x 10,
2 x 2 x 2 x 2 x 5,
2 x 5 x 8,
24 x 5
all are the factors of 80 except 24 x 5,
but the correct representation of the prime factorization of 80 is
2 x 2 x 2 x 2 x 5
Hence option B is correct.
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Please answer this correctly
Answers
Answer:
2/3
Step-by-step explanation:
There are 4 numbers that fit the rule, 3, 4, 7, 8 since they are either less than 5 or greater than 6. There are 6 numbers so the chance would be 4/6 or simplified, 2/3.
Answer:
2/3
Step-by-step explanation:
There are 6 options, 2 of them > 6 and 2 of them < 5
P (greater than 6 or less than 5)= 4/6= 2/3
What is the smallest sample size required to provide a 95% confidence interval for a
mean, if it important that the interval be no longer than 1cm? You may assume that the
population is normal with variance 9cm2.
Answers
Answer:
Don't quote me i think the poulation of 3
Step-by-step explanation:
for 9 suared is 81 so it cant be squared for then it would be 81cm and the one you need can not be longer than 1cm
The minimum sample size should be 35.
What is Confidence Interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.
Given:
Variance= 9
So, standard deviation= √9 = 3
and, The critical z-score values when using a 95 percent confidence level are -1.96 and +1.96 standard deviations.
Then, Sample size= Critical value x SD / Margin error
= 1.96 x √ 3 / 139
= 34.57
= 35
Hence, the minimum sample size should be 35.
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Find the value of x and simplify completely.
Answers
Answer:
x=9√10Given: A right triangle in which an altitude is drawn from the right angle vertex to the hypotenuse.
To find: 'x' the larger leg of triangle
Solution,
Using let rule for similarity in right triangle:
[tex] \frac{leg}{part} = \frac{hypotenuse}{leg} \\ or \: \frac{x}{27} = \frac{3 + 27}{x} \\ or \: x \times x = 27(3 + 27) \\ or \: x \times x = 81 + 729 \\ or \: {x}^{2} = 810 \\ or \: {x}^{2} = 81 \times 10 \\ or \: {x} = \sqrt{81 \times 10} \\ or \: x = \sqrt{81} \times \sqrt{10} \\ or \: x = \sqrt{ {(9)}^{2} } \times \sqrt{10} \\ \: x = 9 \sqrt{10} [/tex]
Hope this helps...
Good luck on your assignment..
Bucket contains 425 mL of water. The capacity of water in the bucket decreases 4.8% each hour. Which equation models the situation?
Answers
Answer:
[tex]V(t) = 425(0.952)^{t}[/tex]
Step-by-step explanation:
The amount of water in the bucket after t hours, in mL, can be modeled by an equation in the following format:
[tex]V(t) = V(0)(1-r)^{t}[/tex]
In which V(0) is the initial amount, and r is the constant decay rate, as a decimal.
Bucket contains 425 mL of water.
This means that [tex]V(0) = 425[/tex]
The capacity of water in the bucket decreases 4.8% each hour.
This means that [tex]r = 0.048[/tex]
So
[tex]V(t) = V(0)(1-r)^{t}[/tex]
[tex]V(t) = 425(1-0.048)^{t}[/tex]
[tex]V(t) = 425(0.952)^{t}[/tex]
THE VALUE OF (-3)raised to 4 is
Answers
Step-by-step explanation:
81
I think this should be the answer
Find the lateral area of the square pyramid shown to the nearest whole number.
25 yd
A
43 yd
Answers
Answer:
4,300
Step-by-step explanation:
Lateral area of a squared Pyramid is given as ½ × Perimeter of base (P) × slant height of pyramid
Thus, we are given,
Side base length (s) = 43 yd
height (h) = 25 yd
Let's find the perimeter
Permimeter = 4(s) = 4(43) = 172 yd
Calculate the slant height using Pythagorean theorem.
Thus, l² = s²+h²
l² = 43²+25² = 1,849+625
l² = 2,474
l = √2,474
l ≈ 50 yd
=>Lateral area = ½ × 172 × 50
= 172 × 25
= 4,300 yd
Molly completes 3/10 of her science project in 4/5 hour. How much of her science project does Molly complete per hour?
Answers
Answer:
3/8 project per hour
Step-by-step explanation:
Take the part of the project done and divide by the time
3/10 project ÷ 4/5 hours
Copy dot flip
3/10 * 5/4
Rewriting
3/4 * 5/10
3/4 * 1/2
3/8 project per hour
Answer:
3/8
Step-by-step explanation:
3/10 div 4/5
Divide 3/10=0.3 by 4/5=0.8 by multiplying 3/10=0.3 by the reciprocal of 4/5=0.8.
3/10x(5/4)
Multiply 3/10 =0.3 times 5/4 =1.25 by multiplying numerator times numerator and denominator times denominator.
3x5/10x4
Do the multiplications in the fraction 3×5/10x4
15/40 = 0.375
Reduce the fraction 15/40 = 3/8 =0.375 to lowest terms by extracting and canceling out 5.
3/8
What is the slope of the line shown? The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line? please help fast 20 pt will mark the branliest
Answers
Answer:
slope = 1/3, equation is y = 1/3x - 2
Step-by-step explanation:
slope formula = change in y / change in x
= (0 - (-2)) / (6 - 0) = 2 / 6 = 1/3
Since we know the slope and the y-intercept we can write the equation in slope-intercept form which will be y = 1/3x - 2.
Answer:
y=1/3x -2
Step-by-step explanation:
points (0, -2) and (6, 0)
Slope- intercept form:
y=mx+b
m=(y2-y1)/(x2-x1)= (0+2)/(6-0)= 2/6= 1/3y=1/3x+b
0= 1/3*6+b b= -2y=1/3x -2