Answer:
3 2/3ft²
Step-by-step explanation:
Area of a rectangle = Length × Width
Given
Length = 5 1/2 foot
Width = 2/3foot
Substitute
Area of the rectangle = 5 1/2 × 2/3
Area of the rectangle = 11/2×2/3
Area of the rectangle = 22/6
Area of the rectangle = 11/3
Area of the rectangle = 3 2/3ft²
Can someone help me solving this two column proof?
Statement Reason
1. LQ ║NP Given
2. ∠Q ≅ ∠N ASA Theorem
3. ∠L ≅ ∠P Alternate Interior Angles
4. ΔLMQ ~ ΔPMN ASA Similar Theorem
What is similarity of shape?Similar shapes are enlargements of each other using a scale factor.
All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio.
The scale factors for length, area and volume are not the same.
From the given diagram,
Statement Reason
1. LQ ║NP Given
2. ∠Q ≅ ∠N ASA Theorem
3. ∠L ≅ ∠P Alternate Interior Angles
4. ΔLMQ ~ ΔPMN ASA Similar Theorem
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How do I find the measure of each marked angle question 14
Answer:
x=38
Step-by-step explanation:
hope this helps!
if angles are on a line like that, both equations added up together will always be equal to 180.
like this:
2x-10+3x = 180
5x-10=180 (combine)
5x=190 (subtract 10 on both sides)
x=38 (divide both sides by 5)
a crew is made up of 8 men. the rest are women . 66 2/3 of the crew are men. How many people are in the crew
Answer: 12, 33% or 1/3
Step-by-step explanation: 33% is 1 3rd, half of 66% is 33%, so half of 8 is 4, so 8+4=12. There are 12 people in the crew.
A man who weighs 200 lbs goes on a diet and loses 16%of his body weight. How much weight, in ounces, did he loses?
We know that the man loses 16% of his weight, to find how much was that we just have to multiply his total weight by 0.16, like this:
lost weight = 0.16 * total weight, by replacing 200 lbs for total weight, we get:
lost weight = 0.16 * 200 = 32
Now we need to express 32 lbs in ounces, we can do this by multiplying the weight in pounds by 16, since 1 pound is equivalent to 16 ounces, then we get:
lost weight in ounces = 32 * 16 = 512
Then, the man lost 512 ounces
hannah and jayna have disponsable camreas. The table and desprition shiw the number of shots left on thier cameras as a function of time.
Answer:
Okay, so what is the question?
Answer:
Tornado: clouds, strong wind, rain, hail.
Hurricane or cyclone: strong wind, heavy rain.
Blizzard: heavy snow, ice, cold temperatures.
Dust storm: strong winds, arid conditions.
Flood: heavy rainfall.
Hail storm: cold or warm temperatures, rain, ice.
Ice storm: freezing rain.Step-by-step explanation:
Fatimah, an engineer at a typical dam and reservoir in an arid region, needs to come up with a solution to reduce the amount of water that the dam's reservoir loses every year. Because funds are tight, she must only address the largest source of water loss for the reservoir. Assuming that she is not technologically restricted and that she can feasibly undertake any of these actions, what action would best address the reservoir's water loss?
The most effective action that Fatimah can take to reduce the reservoir's amount of water loss is to install an evaporation control system.
What is amount?
Amount is a term used to refer to the quantity or magnitude of something, typically in financial or numerical terms. It can refer to physical items such as money, goods, or services, as well as abstract concepts such as time, distance, or energy. The amount of something is usually determined by measuring, counting, or weighing it.
Evaporation is a major source of water loss in arid regions, as the dry air quickly absorbs the moisture from the reservoir's surface. By installing an evaporation control system, Fatimah can reduce the amount of water lost to evaporation by using a variety of strategies. These strategies can include the use of an impermeable membrane to cover the reservoir's surface, the installation of windbreaks to reduce the speed of the wind over the water, and the use of chemicals to reduce the rate of evaporation. All of these strategies can be used to drastically reduce the amount of water lost to evaporation.
The installation of an evaporation control system can also be relatively inexpensive compared to other solutions. For instance, compared to installing a new water pump system or rerouting water to the reservoir, installing an evaporation control system can be done quickly and at a lower cost. This makes it a more suitable solution for Fatimah's limited budget.
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Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the following step function.
They have different y-intercepts but the same end behavior. Thus, option A is correct.
What is Step functiοn?A step functiοn is mathematical functiοn that takes οn finite number οf cοnstant values οver intervals οf its dοmain. It is alsο knοwn as staircase functiοn οr piecewise cοnstant functiοn. The cοnstant values that functiοn takes οn are οften referred tο as "steps" οf the functiοn.
Tο graph the step functiοn, yοu wοuld start by drawing a cοοrdinate plane with the hοrizοntal axis ranging frοm -5 tο 5 and the vertical axis ranging frοm -2 tο 2. Then, yοu wοuld plοt the pοints (-5,-1), (-4,-1), (-3,0), (-2,1), (-1,1), (0,0), (1,1), (2,-1), (3,-1), (4,0), and (5,1) οn the graph.
They have different y-intercepts but the same end behavior.
They have different y-intercepts because function f(x) is 4, while the y-intercept on graph is 6
But they have the same end behavior at 2.
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Complete question:
Function g is represented by the equation.
\(\rm g(x) = 4 (\frac14)^x + 2\)
Which statement correctly compares the two functions?
A. they have different Y-intercepts but the same end behavior
B. they have the same Y-intercept and the same end behavior
C. they have the same Y-intercept but different end behavior
D. they have different Y-intercepts and different end behavior
Help me please! This is so confusing!
Answer:
a) yes, 2, 1/2
b) b = 2t; t = 1/2b
Step-by-step explanation:
a) The number of batteries is twice the number of toys. Using the variables of part B, this relation is ...
b = 2t
This is of the form required for a proportional relation: y = kx, with a value of k=2.
__
If we divide the above equation by 2 on both sides, we get ...
1/2b = t
This is also a proportional relation, with a constant of proportionality of 1/2.
Toys and batteries are in a proportional relationship. The constants of proportionality are 2 or 1/2.
__
b) As we saw above, the equations can be ...
b = 2t
t = 1/2b
lve for m.
-3 + m
9 = 10
A.
-30
B.
63
C.
87
D.
93
The value of m that satisfies the equation -3 + m = 9 is m = 12.
To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.
-3 + m = 9
To move -3 to the other side, we can add 3 to both sides of the equation:
-3 + 3 + m = 9 + 3
Simplifying, we have:
m = 12
Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.
None of the provided answer options (A, B, C, D) match the correct solution.
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This month my metro water services bill was $36.34 and my Madison Suburban Utilty District bill was $26.03. My total water bill was $
Total water bill for the month is $62.37.
It seems that you may have accidentally left out the total amount of your water bill.
The total amount by simply adding the amounts of the individual bills together:
Total water bill =\($36.34 + $26.03\)
= \($62.37\)
You have not provided enough information to determine your total water bill.
You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.
To find your total water bill, you simply need to add the two bills together.
So, the total amount you owe for water this month would be:
Total water bill = \($36.34 + $26.03\)
= \($62.37\)
It appears that you may have forgotten to include the full amount of your water bill by accident.
Simple addition of the separate bill amounts yields the following sum:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
Your total water bill cannot be calculated because not enough information has been given.
Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.
You just need to combine the two invoices together to get your total water bill.
As a result, this month's total water bill for you would be:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
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Fill in the blank with the number you would add to both sides in order to solve this
equation by completing the square:
x² - 4x +
=
2 +
Answer:
write the right question first your question is wrong
How many solutions does the system of equations below have? y=-3/4x+1/6
The solution is the point (0, 1/6) y = 1/6
Given the equation y = (-3/4)x + 1/6, which represents a linear equation, there is no "system" of equations involved since there is only one equation.
In this case, the equation is in slope-intercept form (y = mx + b),
where m represents the slope (-3/4) and b represents the y-intercept (1/6).
The slope-intercept form allows us to determine various properties of the equation.
Since there is only one equation, the solution to this equation is a single point on the Cartesian plane.
Each pair of x and y values that satisfy the equation represents a solution.
For example, if we choose x = 0, we can substitute it into the equation to find the corresponding y value:
y = (-3/4)(0) + 1/6
y = 1/6
Therefore, the solution is the point (0, 1/6).
In summary, the given equation has a unique solution, represented by a single point on the Cartesian plane.
Any value of x plugged into the equation will yield a corresponding y value, resulting in a unique point that satisfies the equation.
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Bailey is making festive cookie bags. She tried to split all her cookies evenly by putting 15 per bag, but the last bag had only 14 cookies. So, she tried putting 10 cookies per bag, but the last bag had only 9. Her mom brought 2 more cookies. Now, Bailey tries 9, then 8, cookies per bag, but she can’t do it. Finally, Bailey puts 7 cookies in each bag evenly! What is the least possible total number of cookies?
Answer:
Hi! The answer would be 21.
Step-by-step explanation:
First, we must add.
\(15 + 14 = 29\)
29 is our first number. Bailey cannot evenly split the cookies into each bag with that amount of cookies, so we must move on to the next number.
\(10 + 9 + 2 = 21 \)
21 can be divided 3 times by 7. Now we know the least amount of cookies total, is 21.
Hope this helped!
Which of the following symbols would replace the O and create an inequality with no solutions?
x 3 and x <3
>
VI
IV
<
The symbol which would replace the O and create an in equality with no solution is; > (greater than)
InequalitiesThe two inequalities given according to the attached image are;
x O 3 and x<= 3.We are required to identify which symbol would replace the O and create an inequality with no solutions.
In essence, since the other inequality is; x<= 3.
We can conclude that a contradictory inequality would be; x > 0.Therefore, the required replacement is; >Read more on inequalities;
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What is the approximate length of side GF in triangle EFG?
Answer:
41.93 degrees
Step-by-step explanation:
Josiah ties together two strings. One string is 3 3/4 feet long. The other string is 1 1/2 yards long. The knot he makes to tie the strings subtracts 2 1/2 inches from the total length. Mark the length, in inches, of the two tied strings on the number line.
76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100
The length of the two tied strings on the number line would be between 96 and 97.
We first need to convert both the lengths of the strings to inches, since the knot's length is given in inches.
The first string is 3 3/4 feet long, which is equivalent to 45 inches (since 1 foot = 12 inches, and 3 3/4 feet = 45 inches).
The second string is 1 1/2 yards long, which is equivalent to 54 inches (since 1 yard = 36 inches, and 1 1/2 yards = 54 inches).
The total length of the two strings before the knot is tied is 45 inches + 54 inches = 99 inches.
Subtracting the length of the knot (2 1/2 inches) from the total length of the two strings gives us:
99 inches - 2 1/2 inches = 96 1/2 inches
Therefore, the length of the two tied strings on the number line would be between 96 and 97.
Since we know that the length is closer to 97 inches than 96 inches, we can mark the length at point 97 on the number line
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The fraction of PKR 1 is 50 paisas
The fraction that represents the rate between PKR and Paisas is given as follows:
1/50.
What is a fraction?A fraction is a numerical representation of the division of the two terms x and y, as follows:
Fraction = x/y.
As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:
1/50.
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Write the slope-intercept form of the equation of the line that is parallel to AB and passes through Point X. Show all
work for full credit.
10
х
(-5, 10)
А
8
(-10, 8)
6
6
(2, 3)
2 B
-10
-8
6
-4
2
2
2
4
6
8
10
2
cy
4
6
8
8
-10
find y=mx+b for line parallel to AB.
The line that is parallel will have the same slope as line AB:
the slope of line AB is
m=(8-3)/(-10-2)
=5/-12
=-5/12
Since the line going through X is parallel the vertical distance of the new line to AB is the same for all values of the domain(x-axis).
at x=-5 the point X has the y value of 10 which is 4 more than the y value for AB based on the graph.
To find the intercept b of the line going through X that is parallel to AB we just add 4 to the intercept of AB, which is 4 so
4+4=8
Which is the smallest integer that makes the inequality 2x + 3 > 5 true?
0 is the correct answer;
2*0=0, and 0+3=3.
However if we plug in 1 it does not work you see; 2+1=2, and 2+3 = 5.
It has to be > not =
2
Step-by-step explanation:
because if you subtitute 2 for x you would get
2(2) +3>5
4+3=7
7>5
which makes the inequality true
Harris Interactive® conducted a poll of American adults in August of 2011 to study the use of online medical information. Of the 1,019 randomly chosen adults, 60% had used the Internet within the past month to obtain medical information. Use the results of this survey to create an approximate 95% confidence interval estimate for the percentage of all American adults who have used the Internet to obtain medical information in the past month.
Answer:
\(0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570\)
\(0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630\)
The 95% confidence interval for the true proportion would be given by (0.570;0.630) .
And if we convert this into % we got (57.0%, 63.0%)
Step-by-step explanation:
The information given we have the following info given:
\( n = 1019\) represent the sampel size
\( \hat p=0.6\) represent the sample proportion of interest
The confidence level is 95%, our significance level would be given by \(\alpha=1-0.95=0.05\) and \(\alpha/2 =0.025\). And the critical value would be given by:
\(z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96\)
The confidence interval for the mean is given by the following formula:
\(\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}\)
Replacing the info given we got:
\(0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570\)
\(0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630\)
The 95% confidence interval for the true proportion would be given by (0.570;0.630) .
And if we convert this into % we got (57.0%, 63.0%)
can someone help PLS? its Surface Area of Composite Shapes
The total surface area of the figure is 315π square feet, or approximately 988.8 square feet if we use a value of 3.14 for π.
Given information:
The cylinder is sitting on the base of the cone.
The diameter of the base is 14 feet.
The slant height of the cone is 9 feet and the height of the cylinder is 11 feet.
To find the total surface area of the figure, we need to find the surface area of the cone and the surface area of the cylinder and add them together.
The surface area of the cone:
The radius of the cone is half of the diameter, which is 7 feet.
The lateral surface area of the cone can be found using the formula:
L = πrs, where r is the radius and s is the slant height.
L = π(7)(9) = 63π square feet
The base of the cone is a circle with a radius of 7 feet, so its area is:
A = πr² = π(7²) = 49π square feet
The surface area of a cylinder:
The radius of the cylinder is also 7 feet since it shares the same base as the cone.
The lateral surface area of the cylinder is:
L = 2πrh, where r is the radius and h is the height.
L = 2π(7)(11) = 154π square feet
The base of the cylinder is another circle with a radius of 7 feet, so its area is:
A = πr² = π(7²) = 49π square feet
Total surface area:
Adding the lateral surface area and the base area of the cone and cylinder, we get:
63π + 49π + 154π + 49π = 315π square feet
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factor 16n^4 -1 completely
Answer:
(4n^2 + 1) (2n+1) (2n-1)
Step-by-step explanation:
use difference of squares
if my answer is correct, pls mark this is brainliest! thanks!
Since both terms are perfect squares, factor using the difference of squares formula,
a² − b² = (a + b) (a − b) where a = 4n² and b=1.
(4n² + 1) (2n + 1) (2n − 1)
Question #12: A department store has a discount on shoes based on a
percentage of the price. Suppose one pair of shoes is marked down from
$70 to $49. What is the price for a $110 pair of shoes after the discount is
applied?
a
O $89.00
O $77.00
O $73.33
O $33.00
Answer:
$77
Step-by-step explanation:
The answer is $77 because first you need to find how much money was discounted by doing 70-49 to get 21. Then you need to find how much percent 21 is of 70 by doing 21/70, then you would get 0.3 which is 30% since you have to multiply it by 100. This means that there is a 30% discount. Then you would do 0.3*110=33. This means that the 30% discount takes away $33. So 110-33=77. The answer is $77.
URGENT!!!! Find the y-intercept of the line that passes through the points (-3, 7) and (3, −9).
Answer:
\(m = \frac{ - 9 - 7}{3 - ( - 3)} = \frac{ - 16}{6} = - \frac{8}{3} \)
\(7 = - \frac{8}{3} ( - 3) + b\)
\(7 = 8 + b\)
\(b = - 1\)
\(y = - \frac{8}{3} x - 1\)
The y-intercept is -1.
Help me solve these two problems! Show the work
Answer:
see explanation
Step-by-step explanation:
2
4x² + 64 ← factor out the common factor of 4 from each term
= 4(x² + 16)
3
(a - 10)² = 121 ( take square root of both sides )
a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )
a = 10 ± 11
then
a = 10 - 11 = - 1
a = 10 + 11 = 21
A family of 3 children 2 adults visited a heath club. The club charges $y an hour for each child and $x an hour for each adult. If the family does not want to spend more than $30 an hour at the health club, which of the following graphs Best models the situation
Answer:
Step-by-step explanation:y<30 and x<15
Jeff's roof is three times larger than Monica's roof. What is the measurement of the side where there is a question mark in the picture below? A. 7.64 ft B. 7.73 ft C. 7.93 ft D. 11.6 ft
Answer:
Step-by-step explanation:
eff's roof is three times larger than Monica's roof. What is the measurement of the side where there is a question mark in the picture below? A. 7.64 ft B. 7.73 ft C. 7.93 ft D. 11.6 ft
Answer:
The answer is B: 7.73 ft
Step-by-step explanation:
I was able to solve it by dividing 23.19 ft (Jeff's roof side length) by 3. BONUS: I got it right on the test! :D
Hope you like my answer!
2. The box and whisker plot below shows the starting salaries for 120 graduates of a small college.
a) What is the range of the starting salaries?
b) About 30 graduates make below what amount?
c) How many graduates have a salary above $33,000 ?
d) $25 of the graduates make above what amount?
The range of the starting salaries is 53,000
Given,
The box and whisker plot below shows the starting salaries
The number of graduates in a small college = 120
We have to find the range of the starting salaries;
Range of a data;
The difference between the highest and lowest values for a given data collection is the range in statistics. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3. As a result, the range may alternatively be thought of as the distance between the highest and lowest observation.
Here,
Lowest value = 19,000
Highest value = 72,000
Then,
Range of the set = 72,000 - 19,000 = 53,000
That is,
The range of the given data set is 53,000
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A jar of peanut butter contains 50 tablespoons of peanut butter.
How many sandwiches can you make from the jar of peanut butter, assuming you have plenty of bread and jelly?
A. 25 sandwiches
B. 9 sandwiches
C. 10 sandwiches
D. 50 sandwiches
Answer:
the correct answer is A. 25 sandwiches.
Step-by-step explanation:
Assuming you have plenty of bread and jelly, you can make 25 sandwiches from the jar of peanut butter.
Each sandwich typically requires 2 tablespoons of peanut butter, one slice of bread with peanut butter and one slice of bread with jelly.
So, if you have 50 tablespoons of peanut butter, you can make 25 sandwiches with it, because 50 / 2 = 25.
Therefore, the correct answer is A. 25 sandwiches.
Answer: 25
Step-by-step explanation:
We have 50 tablespoons of peanut butter and we know that it requires 2 tablespoons to make a single sandwich. In order to find how many sandwiches we can make with our 50 tablespoons, we would have to do 50 divided by 2.
2+2...=50
The simple interest charged on a 2-month loan of $22,000 is $521. Find the simple interest rate. (Round your answer to one decimal place.)