Someone please help me with these 4
Answer:
1) Alternating Interior angels supplementary
2) Corresponding angels congruent
3) Alternating Interior Angles congruent 93º
4) Alternating Interior Angles congruent 96º if it says 96º on the paper it's blurry
Step-by-step explanation:
Two cylinders have the same volume. The first has a radius of 5cm and a height of 10 cm. The second has a radius of 10cm. The surface area of the first cylinder is and the surface area of the second i s
ANSWER
\(\begin{gathered} 1)150\pi \\ 2)250\pi \end{gathered}\)EXPLANATION
For the first cylinder;
\(\begin{gathered} r=5 \\ h=10 \end{gathered}\)Recall, the formula for calculating the surface area of a cylinder is;
\(A=2\pi rh+2\pi r^2\)Now, substitute the values for the first cylinder;
\(\begin{gathered} A=2\pi rh+2\pi r^{2} \\ =2\times\pi\times5\times10+2\times\pi\times5^2 \\ =100\pi+50\pi \\ =150\pi \end{gathered}\)The volume of the first cylinder is calculated using the formula;
\(\begin{gathered} V=\pi \cdot \:r^2\cdot \:h \\ \end{gathered}\)Substitute the values of r and h for the first cylinder;
\(\begin{gathered} V=\pi \cdot \:r^2\cdot \:h \\ =\pi\times5^2\times10 \\ =\pi\times25\times10 \\ =250\pi \end{gathered}\)To get the surface area of the second cylinder, we need to calculate the height (h).
To get the height, we use the volume of the first cylinder to get the height of the second (since they have the same volume).
Hence;
\(\begin{gathered} V=250\pi \\ r=10 \\ V=\pi r^{2}h \\ 250\pi=\pi\times10^2\times h \\ h=\frac{V}{\pi \cdot \:r^2} \\ h=\frac{250\pi }{\pi 10^2} \\ =2.5 \end{gathered}\)Substitute the height to calculate the surface area is calculated thus;
\(\begin{gathered} A=2\pi rh+2\pi r^{2} \\ =2\times\pi\times10\times2.5+2\times\pi\times10^2 \\ =50\pi+200\pi \\ =250\pi \end{gathered}\)the weekly sales at two movie theaters were recorded for a random sample of 25 weeks. a 95 percent confidence interval for the difference in mean weekly sales for the two movie theaters was calculated as
To calculate the 95% confidence interval for the difference in mean weekly sales for the two movie theaters, follow these steps:
Step 1: Gather the data for the random sample of 25 weeks.
Step 2: Calculate the mean and standard deviation for each movie theater's weekly sales.
Step 3: Calculate the difference in mean weekly sales for the two movie theaters (subtract the mean of theater 2 from the mean of theater 1).
Step 4: Calculate the standard error of the difference by taking the square root of [(standard deviation of theater 1^2 / number of weeks) + (standard deviation of theater 2^2 / number of weeks)].
Step 5: Determine the critical value for a 95% confidence interval using a t-table or calculator (for a two-tailed test with 24 degrees of freedom, the critical value is approximately 2.064).
Step 6: Multiply the critical value by the standard error to get the margin of error.
Step 7: Calculate the lower and upper bounds of the confidence interval by subtracting and adding the margin of error from the difference in mean weekly sales.
The result will be the 95% confidence interval for the difference in mean weekly sales for the two movie theaters.
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answer must be a monomial in standard form
(-4r3)(-5r3)
Answer:
20r^6
Step-by-step explanation:
from (-4r3)((-5r3) its 20r^6
y=7.17x what is the constant of proportionality
The constant of proportionality is, 7.17
What is constant of proportionality?
The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
The constant of proportionality k can be written as, \(k = \frac{y}{x}\)
or it can also be written as, y = kx.
Here the given equation is, y = 7.17x
Compare it with the above equation, we get k = 7.17
Therefore, the constant of proportionality is, 7.17
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Eli’s class held a fund raising event last month. The class’s expenses were+5.75, +4.75, and +3.75. The amounts of money the class raised were+13.50, +24.70, +13.15, and +19.50.Can you use two different orders of computation?
The different orders of computation is +56.6
Based on the funding in Eli's class;
The class’s expenses were +5.75, +4.75, and +3.75
Total expenses = +5.75 +4.75 +3.75
Total expenses = +14.25
If the amounts of money the class raised were +13.50, +24.70, +13.15, and +19.50, the total raised is expressed as:
Total money raised = 13.50 +24.70 + 13.15 +19.50
Total money raised = +70.85
Difference in computations = +70.85 - 14.25
Difference in computations = +56.6
Hence the different orders of computation is +56.6
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Q:11 WILL GIVE BRAINLIEST
A large retailer calculated the average hourly wage of employees over 6 years. The following table shows the years since 2016 and the average hourly wage of an employee at that time.
Years (since 2016) 0 1 2 3 4 5 6
Hourly Wage (in dollars) 9 9.5 10 11 12 13 14
Which of the following representations is most appropriate for showing the change in the average hourly wage each year?
scatter plot with the title average hourly wage and the x axis labeled years since 2016 and the y axis labeled hourly wage in dollars, with points at 0 comma 9, 1 comma 9 and a half, 2 comma 10, 3 comma 11, 4 comma 12, 5 comma 13, and 6 comma 14
line graph with the title average hourly wage and the x axis labeled years since 2016 and the y axis labeled hourly wage in dollars, with points at 0 comma 9, 1 comma 9 and a half, 2 comma 10, 3 comma 11, 4 comma 12, 5 comma 13, 6 comma 14, and line segments connecting each point
scatter plot with the title average hourly wage and the x axis labeled hourly wage in dollars and the y axis labeled years since 2016, with points at 9 comma 0, 9 and a half comma 1, 10 comma 2, 11 comma 3, 12 comma 4, 13 comma 5, and 14 comma 6
line graph with the title average hourly wage and the x axis labeled hourly wage in dollars and the y axis labeled years since 2016, with points at 9 comma 0, 9 and a half comma 1, 10 comma 2, 11 comma 3, 12 comma 4, 13 comma 5, and 14 comma 6, and line segments connecting each point
The representation which is most appropriate for showing the change in the average hourly wage is: A. scatter plot with the title average hourly wage and the x axis labeled years since 2016 and the y axis labeled hourly wage in dollars, with points at 0 comma 9, 1 comma 9 and a half, 2 comma 10, 3 comma 11, 4 comma 12, 5 comma 13, and 6 comma 14.
How to determine the line of best and change in the average hourly wage each year?In this scenario, the years would be plotted on the x-axis (x-coordinate) of the scatter plot while the hourly wage would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.
On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.
From the scatter plot (see attachment) which models the relationship between the years and hourly wage, an equation for the line of best fit is given by:
y = 0.8571x + 8.6429
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How do you find eigenvalues and eigenvectors of a matrix?
Identifying Eigenvalues and Eigenvectors, A should be a n x n matrix. By resolving the det(λI−A)=0 problem, first determine the eigenvalues of A. Find the fundamental solutions to (λI−A)X=0 to determine the fundamental eigenvectors X≠0 for each.
In linear algebra, a nonzero vector is said to have an eigenvector, or characteristic vector, when a linear transformation is applied to it; this characteristic vector only changes by a scalar amount. The scaling factor for the eigenvector is known as the associated eigenvalue, frequently represented by the symbol. Linear transformations are made intelligible by the usage of eigenvectors. Eigenvectors can be thought of as a non-directional stretching or compressing of an X-Y line chart. In mathematics, eigenvalues are regarded as the factor by which a transformation is stretched, whereas eigenvectors are the real non-zero eigenvalues that point in the direction stretched by the transformation. The direction of the transformation is negative if the eigenvalue is negative.
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A fireman’s ladder leaning against a house makes an angle of 62 with the ground. If the ladder is 3 feet from the base of the house, how long is the ladder?
In the given scenario ladder is 6.52 feet long.
Given that,
The angle between ground and ladder = 62 degree
The distance of ladder from ground and ladder = 3 feet
We have to find the length of ladder.
Since we know that,
The trigonometric ratio
cosθ = adjacent/ Hypotenuse
Here we have,
Adjacent = 3 feet
Hypotenuse = length of ladder
Thus to find the length of ladder we have to find the value of hypotenuse.
Therefore,
⇒ cos62 = 3/ Hypotenuse
⇒ 0.46 = 3/ Hypotenuse
⇒ Hypotenuse = 3/0.46
= 6.52
Thus,
length of ladder = 6.52 feet.
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a equation of a line that passes through point. (-3, 1) and point (4, 8).
By multiplying 5/3^4 by _________, we get 5^4
The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:
(5/3^4) * x = 5^4
To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:
5^4 = 5 * 5 * 5 * 5 = 625
Now, let's simplify the left side:
5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81
Now we have:
(5/81) * x = 625
To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:
(81/5) * (5/81) * x = (81/5) * 625
On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:
1 * x = (81/5) * 625
Simplifying the right side:
(81/5) * 625 = 13125
Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.
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help me get this right i really have to pass
Answer:
yes
Step-by-step explanation:
I need help with my homework
Answer:
B
Step-by-step explanation:
I think
A pilot takes a taxi from the airport and the hotel. The taxi driver charges a $2.50 fee plus $2.65 per mile. Write an equation that can be used to find y, the total cost of the trip, if x represents the number of miles on the trip.
Answer:
2.50 + 2.65x = y
Step-by-step explanation:
The 2.50 fee won't change but the price per mile will, each mile will cost $2.65 more. And since we don't know how many miles the plot is taking, $2.65x. Then the total cost is y
Answer:
Step-by-step explanation: if the 2.50 is staying the same, then the answer is y=2.50x + 2.65
What type of slope ?
Answer:
negative or undefined
Step-by-step explanation:
Answer:
Negative
Step-by-step explanation:
Read it left to right if going up it's positive going down negative
If her garden is 2 square feet, she can grow 8 carrots at a time. Write the equation for the relationship between x and y
Let's assume that x represents the number of square feet in the garden, and y represents the number of carrots that can be grown at a time.
We are given that when the garden is 2 square feet, she can grow 8 carrots at a time. This suggests a linear relationship between x and y.
To find the equation, we can use the concept of proportionality. Since the number of carrots grown is directly proportional to the area of the garden, we can set up a proportion:
x/y = 2/8
Cross-multiplying, we have:
8x = 2y
Dividing both sides by 2, we get:
4x = y
So, the equation for the relationship between x and y is y = 4x.
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A scientist is determining
the mass of 30,000
molecules of oxygen.
a. How many
significant digits
should be in the
solution?
Mass of one molecule of
oxygen = 5.3 x 10-23 gram
Answer:
The mass of the 30,000 molecules is 1.59\times 10^{-18}1.59×10
−18
Given that,
There are 30,000 molecules.
And, the mass of one molecule of oxygen i.e. 5.3\times 10^{-23}5.3×10
−23
gram.
Based on the above information, the calculation is as follows:
\begin{gathered}= 30,000 \times 5.3\times 10^{-23}\\\\= 3\times10^4 \times 5.3\times 10^{-23}\\\\= 15.9\times 10^{-23+4}\\\\= 15.9\times 10^{-19}\\\\= 1.59\times 10^{-19}\times 10\\\\= 1.59\times 10^{-18}\end{gathered}
=30,000×5.3×10
−23
=3×10
4
×5.3×10
−23
=15.9×10
−23+4
=15.9×10
−19
=1.59×10
−19
×10
=1.59×10
−18
Therefore we can conclude that the mass of the 30,000 molecules is 1.59\times 10^{-18}1.59×10
−18
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the slope of a fairly flat upward-sloping line will be a a. large negative number. b. small negative number. c. small positive number. d. large positive number.
The slope of a fairly flat upward-sloping line will be a small positive number. (option c)
This is because a slope measures the change in the y value for a given change in the x value. As the line is fairly flat, the change in y value will be small. Since the line is upward-sloping, the change in the y value will be positive. Therefore, the slope of the line will be a small positive number.
To calculate the slope mathematically, we can use the formula
m = (y2-y1)/(x2-x1).This formula gives us the slope of the line between two points (x1, y1) and (x2, y2). In our case, since the line is fairly flat, the difference in y values (y2-y1) will be small, resulting in a small positive number for the slope.
We can also visualize this mathematically. If we graphed the line, it would look like a flat line, because the difference in y values is small. Therefore, the slope of the line will be a small positive number.
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\( 350 \mathrm{y} \) C P sas \( \cos u \)
The given expression, \(\(350y \cdot C \cdot \cos(u)\)\), involves variables \(\(y\), \(C\)\), and \(\(u\)\) and their respective operations and functions.
The expression \(\(350y \cdot C \cdot \cos(u)\)\) represents a mathematical equation involving multiplication and the cosine function. Let's break down each component:
1. \(\(350y\)\) represents the product of the constant value 350 and the variable \(y\).
2. \(\(C\)\) is a separate variable that is being multiplied by \(\(350y\)\).
3. \(\(\cos(u)\)\) represents the cosine of the variable \(\(u\)\).
The overall expression represents the product of these three terms: \(\(350y \cdot C \cdot \cos(u)\)\).
To evaluate this expression or derive any specific meaning from it, the values of the variables \(\(y\), \(C\)\), and \(\(u\)\) need to be known or assigned. Without specific values or context, it is not possible to provide a numerical or simplified result for the given expression.
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use the cross product property to solve the proportion
5/r = 9/10
Answer:
\(5.\overline{55}\) or \(5\frac{5}{9}\)
Step-by-step explanation:
\(\frac{5}{r} =\frac{9}{10}\)
We multiply the cross values of 5 and 10
5 × 10 = 50
Now we divide by the remaining number, 9
\(50 \div 9 = 5.555555...\)
So, r = \(5.\overline{55}\)
As a fraction, this is \(5\frac{5}{9}\)
Hope this helped!
Answer:
5 5/9 = r
Step-by-step explanation:
5/r = 9/10
Using cross products
5 * 10 = 9 * r
50 = 9r
Divide by 9
50/9 = r
5 5/9 = r
A school wants to buy a chalkboard that measures 1 meter by 2 meters. The chalkboard costs $27.00 per square meter. How much will the chalkboard cost?
Answer:
The chalkboard costs $54.00
Step-by-step explanation:
A chalkboard is in a shape of a rectangle. The chalkboard mentioned measures 1 meter by 2 meters.
The area of a rectangle is given by the formula:
A = lw
Use formula:
A = (2)(1) = 2 m^2
The chalkboard costs $27.00 per square meter so:
2 x 27 = 54
The chalkboard costs $54.00
160 is what percent of 4000
Answer:
4
Step-by-step explanation:
Percentage Calculator: 160 is what percent of 4000? = 4.
Mary, Katherine, and Alex share the bill at a restaurant after a meal. Mary pays for of the bill, Katherine pays for of the bill, and Alex
pays for the rest. What is the ratio of Mary's share to Katherine's share to Alex's share?
The ratio of Mary's share to Katherine's share to Alex's share is 5:4:1, which means Mary pays 5/10 of the bill, Katherine pays 4/10 of the bill, and Alex pays 1/10 of the bill.
To find the ratio, we can write their contribution as a fraction of the total parts and then solve the fractions then they'll have the same denominator.
So, Mary's share is 5/10, Katherine's share is 4/10, and Alex's share is 1/10.
To convert this as a ratio, we write 5:4:1, where each number represents the number of parts each person pays, and the colon separates each person's contribution.
Therefore, the ratio of Mary's share to Katherine's share to Alex's share is 5:4:1
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What is the area of the composite figure?
Units Cubed? Units Squared? Units?
The area of the figure is 825 and its unit is units squared
How determine area of the composite figure and its unit?The given figure is a trapezium. Area of trapezium(A) = 1/2(a+b)h
Considering the labelling on the image attached:
The distance h spans from -15 to 18. Thus h = 18 - (-15) = 18+15 = 33 units
The distance a spans from -15 to 6. Thus a = 6 - (-15) = 6 +15 = 21 units
The distance b span from -15 to 18. Thus b = 24 - (-15) = 18+15 = 39 units
Note: each square of the graph is 3. You can also get the distance by counting number of squares and then multiply by 3.
Now, Area(A) = 1/2(21+39) x 33
= 1/2(50) x 33
= 25 x 33 = 825 squared units
Therefore, the area of the composite figure is 825 and the unit is units squared
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Please help i need the answers fast
A 19
B 28
C 33
D 35
Answer:
the answer for that is 35 letter D
please help meee
i’m a a hurry
Answer:
6 (a)
Step-by-step explanation:
P
E
M
D
A
S
4+(9*2)/(4-1)-4
4+(18)/(3)-4
4+6-4
=
6
Find the x-intercepts of the parabola with
vertex (-3,-18) and y-intercept (0,0).
Write your answer in this form: (X1,Y1),(X2,42).
If necessary, round to the nearest hundredth.
Answer:
x-intercepts are (0, 0) and (-6, 0)
Step-by-step explanation:
equation of a parabola in vertex form: y = a(x - h)² + k
where (h, k) is the vertex
Substituting the given vertex (-3, -18) into the equation:
y = a(x + 3)² - 18
If the y-intercept is (0, 0) then substitute x=0 and y=0 into the equation and solve for a:
0 = a(0 + 3)² - 18
⇒ 0 = a(3)² - 18
⇒ 0 = 9a - 18
⇒ 9a = 18
⇒ a = 2
Therefore, y = 2(x + 3)² - 18
To find the x-intercepts, set the equation to 0 and solve for x:
2(x + 3)² - 18 = 0
Add 18 to both sides: 2(x + 3)² = 18
Divide both sides by 2: (x + 3)² = 9
Square root both sides: x + 3 = ±3
Subtract 3 from both sides: x = ±3 - 3
so x = 3 - 3 = 0
and x = -3 - 3 = -6
So x-intercepts are (0, 0) and (-6, 0)
Answer:
The x-intercepts are ( 0 , 0 ) , ( -6 , 0 )
Explanation:
vertex (-3,-18) and y-intercept (0,0)
equation used f(x) = a(x - h)² + k where (h,k) is vertex.
0 = a(0--3)² + -18
0 = 9a - 18
18 = 9a
a = 2
f(x) = a(x - h)² + k ......this is vertex to find equation of parabola.
f(x) = 2(x - -3)² + -18
f(x) = 2(x + 3)² - 18 ....this is our formula of parabola
f(x) = 2(x² +6x + 9) - 18
f(x) = 2x² +12x +18 - 18
f(x) = 2x²+12x .....if simplified.
To find x intercepts, y must be 0,
2x²+12x = 0
2x(x+6) = 0
x = 0 , -6
so the coordinates are: ( 0 , 0 ) , ( -6 , 0 )
Compare the age of the earth to the age of the oldest known rocks found
The Earth is estimated to be around 4.54 billion years old, while the oldest known rocks found on Earth date back to about 4 billion years ago.
Determining the age of the Earth is a complex process that involves a variety of scientific disciplines. Geologists and other scientists have used a variety of methods to estimate the age of the planet, including radiometric dating, which involves measuring the decay of radioactive isotopes in rocks and other materials.
The age of the oldest known rocks found on Earth has also been determined using radiometric dating techniques. These rocks, which are primarily found in Western Greenland, have been dated to around 3.8 to 4.0 billion years old. The rocks are believed to have formed during the Hadean Eon, a period of Earth's history when the planet was still in its early stages of formation and was subject to intense meteorite bombardment.
It's important to note that the age of the Earth and the age of the oldest known rocks found on its surface are not precise measurements.
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only one left pls help me im confused
Answer:
B
Step-by-step explanation:
I'm pretty sure it is B but if not I'm sorry
Which of the following inequalities are true?
Select the two correct answers.
A. | 4 | > 7
B. | - 4 | <4
C. |–7| > 4
D. |7|> |-7|
E. |-4 | < |-7 |
Answer:
i think its B or D sorry if I'm wrong