Answers
The answer is very simple.
We can use the triangle proportionality theorem to solve this exercise.
The ratios are:
\(\frac{WV}{TW}\text{ = }\frac{XV}{UV}\)Those are the relations between the sides .
\(\frac{2}{7}\text{ = }\frac{XV}{12}\)\(\frac{2}{7}\cdot12=XV\)\(XV=\frac{24}{7}=3.428\)The solution is :
XV = 3.43
Related Questions
The prescription is written for a quantity of 45 tablets for a 30-day supply with instructions to take half a tablet by mouth once daily. The patient now wants a 3 month supply, what would the quantity and day supply now be?
Answers
The patient has to take half a tablet per day. For a 30-day period, they need:
30 ÷ 2 = 15 tablets.
For a 3-month supply, they need:
3 x 15 = 45 tablets.
Looks like the patient already has a 3-month supply of 45 tablets.
Troy uses colored sand to make sand art. The storage container for his sand is shaped like a right square prism. He pours some of the sand into a display container shaped like a right triangular prism. When he is done, the height of the sand left in the storage container is 4 in. What is the height of the sand in the display container?
Answers
The height of the sand in the display container is 12 inches when the display container is right triangular prism.
What is right triangular prism ?
A right triangular prism is a three-dimensional geometric shape with two parallel triangular bases and three rectangular faces. The rectangular faces connect the corresponding vertices of the triangular bases.
To find the height of the sand in the display container, we need to use the fact that the volume of sand in the storage container is equal to the volume of sand in the display container.
The storage container has a length, width, and height of 6 inch, 6 inch, and 6inche, respectively. Then, the volume of the storage container is:
\(V_{storage} = L * W * H = 6 * 6 * 6 = 216 inch^3\)
Similarly, let's assume that the display container has a base of length 4 inch and height 9 inches and height of sand be H.
Then, the volume of the display container is:
\(V_{display} = (1/2) * b * h * H = (1/2) * 4 * 9 * H = 18H\)
where (1/2) is the area of the triangle base of the display container.
Since the volumes of sand in both containers are equal, we can set these expressions equal to each other and solve for h:
216 = 18H
H = 12 inches
Therefore, the height of the sand in the display container is 12 inches.
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The coordinates of the vertices of a polygon are shown below.M(–1, 3), N(–4, 0), O(–1, –3), P(3, –3), Q(4, 0), R(3, 3)What type of polygon is this figure? heptagon hexagon octagon quadrilateral
Answers
Answer:
Step-by-step explanation:
The six points are shown on the graph. I think I've put them in correctly.
There are 6 sides to this figure. So this is a hexagon. It is not a regular hexagon. You can print the figure out to convince yourself that it is a hexagon.
Answer:
hexagon
Step-by-step explanation:
Help please!
S = 180m
How many strides would a runner take during a 1-hour run (60 min)
Answers
The number of strides the runner will make during 1 hour run will be =
10,800.
How to calculate the total number of strides made by the runner in a hour?To calculate the distance or number of strides made by the runner in an
hour, the graph given above is considered as follows;
The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.
From the graph
20 minutes= 3600 strides
60 minutes = X strides
make X the subject of formula;
x= 3600×60/20
= 216000/20
= 10,800
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Please help me with the attached question
Answers
The expression equivalent to \(-3(\frac{7}{2} -\frac{2}{3}m )+\frac{17}{2} -m\) is m - 2.
How to find equivalent expression?Equivalent expressions are expressions that work the same even though they look different.
In other words, equivalent expressions are expressions that have the same value.
Therefore, the expression that is equivalent can be calculated as follows:
\(-3(\frac{7}{2} -\frac{2}{3}m )+\frac{17}{2} -m\)
Hence, let's simplify the expression to find it's equivalent,
open the bracket
\(-3(\frac{7}{2} -\frac{2}{3}m )+\frac{17}{2} -m = -\frac{21}{2}+2m+\frac{17}{2}-m\)
\(-3(\frac{7}{2} -\frac{2}{3}m )+\frac{17}{2} -m = -\frac{21}{2}+2m+\frac{17}{2}-m = -\frac{21}{2}+\frac{17}{2}+2m-m\)
\(-\frac{21}{2}+\frac{17}{2}+2m-m=-\frac{4}{2} + m\) = m - 2
Therefore,
\(-3(\frac{7}{2} -\frac{2}{3}m )+\frac{17}{2} -m = m-2\)
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what is the answer?????
Answers
Answer:
Step-by-step explanation:
1/4
Answer: It would be 4
So what's happing in the table, is that numbers are being multiplied by 4.
1x4=4
2x4=8
3x4=12
4x4=16
hope I helped :)
I need help Chad hired you to help him mow someone’s lawn. Draw a picture of
the lawn that you mowed. Make sure to label the lengths of all sides of the lawn. In
the space below, write equations to show how you found the area and perimeter of
the lawn.
The lawn must meet the following specifications:
The area is greater than 100 square feet but less than 250 square feet.
The shape is irregular (not a square or rectangle.)
Scale: 1 box = 1 square foot
Show your work in the chart below.
Answers
Answer: I don't have the ability to create and insert images or charts. However, I can provide instructions on how to draw a diagram and write the equations for the area and perimeter of the lawn based on the given specifications.
To draw the diagram, start by sketching an irregular shape that meets the given specifications. Label the lengths of all sides of the lawn using the scale of 1 box = 1 square foot. For example, if one side of the lawn is 8 feet long, label it as 8 boxes.
Once you have drawn the diagram and labeled the lengths of all sides of the lawn, you can use the following equations to find the area and perimeter of the lawn:
To find the area of the lawn, use the formula for the area of an irregular shape, which involves dividing the shape into smaller, simpler shapes and adding their areas together. For example, you could divide the lawn into a rectangle and a triangle and then use the following formula:
Area = Area of rectangle + Area of triangle
Area of rectangle = length x width
Area of triangle = 1/2 x base x height
To find the perimeter of the lawn, add up the lengths of all the sides of the lawn. For example:
Perimeter = length of side 1 + length of side 2 + length of side 3 + ... + length of last side
Make sure to substitute the appropriate values into the equations and simplify your answers.
Step-by-step explanation:
Choose the item that has measurable volume.
A. an index card
B. a napkin
C. cereal box
D. piece of paper
Answers
Volume is a three-dimensional scalar quantity. The item is the cereal box.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
For an item to have measurable volume, the item must have space and must have a closed surface. Therefore, the item is the cereal box.
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What is the inverse of the function f(x) = 2x + 1?
1
Oh(x) =
Ex-
2
2
O h(x)
1
2
1
2
h(x) =
Ex-
- 3x + 2
h(x) =
X
+
Save and Exit
Next
Mark this and return
Answers
Answer:
The inverse function is \(f^{-1}(x) = \frac{x-1}{2}\)
Step-by-step explanation:
We have the following function:
y = 2x + 1
Finding the inverse:
Exchange y and x, and then isolate y again. So
y = 2x + 1
Exchange y and x
x = 2y + 1
2y = x - 1
\(y = \frac{x-1}{2}\)
So
The inverse function is \(f^{-1}(x) = \frac{x-1}{2}\)
A die is rolled. If it rolls to a 1, 2, or 3 you win $2. If it rolls to a 4, 5, or 6 you lose $1. Find the expected winnings.
a) $0.50
b) $3.00
c) $1.50
d) $1.00
Answers
Answer:
A. $0.5
Step-by-step explanation:
In this question half of the time your winning is 2 dollars and also the other half of the time your loss is one dollar
The expectation is that after you must have had 2 rolls you would get 2 dollars once and also you are going to lose 1 dollar once. So what you won overall would be 1 dollar.
So the correct answer would be gotten from $1/2rolls
= $0.50
Refer to the given terms . A pattern defines the relationship between the first two terms . Determine the relationship and identify the missing term of the second pair , such that both the pairs are analogous . AZP : ZAR :: TXK :
Answers
The missing term in the second pair is YUL.
To determine the relationship between the first two terms, let's analyze the given pattern: AZP : ZAR.
If we look closely, we can observe that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.
So, applying the same pattern to the second pair (TXK), we need to shift each letter one position forward in the alphabet:
T + 1 = U
X + 1 = Y
K + 1 = L
Therefore, the missing term in the second pair is YUL.
The analogy between the pairs is that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.
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Which of the following is the correct factorization of 64x³ + 8? (2x + 4)(4x² - 8x + 16) (4x + 2)(16x² - 8x + 4) (4x - 2)(16x² + 8x + 4) (2x - 4)(4x² + 8x + 16)
Answers
Answer:
work is pictured and shown
I WILL MARK BRAINLIEST IF CORRECT!
You have a rectangular space where you plan to create an obstacle course for an animal. The area of the rectangular space is represented by the expression 12x^2 - 15x. The width of the rectangular space is represented by the expression 3x
Part A: Write an expression to represent the length of the rectangular space. Then simplify your expression. Show all your work.
Part B: Prove that your answer in part A is correct by multiplying the length and the width of the rectangle. Show all your work.
Answers
The expression is written as;
Part A : Length, L = 4x - 5
Part B: (4x-5)(3x)
How to determine the expressionThe formula for the area of a rectangle is expressed as;
A = lw
Given that;
A is the area of a rectangleL is the length of the rectanglew is the width of the rectanglesubstitute the expressions, we get;
12x² - 15x = 3x(l)
divide both sides by 3x, we get;
Length, l = 12x²/3x - 15x/3x
Divide the values, we get;
Length, L = 4x - 5
Area = (4x-5)(3x)
multiply the values
Area = 12x² - 15x
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Determine the measure of the third angle in a triangle when the other two angles total 165 degrees.
Answers
Answer:
15
Step-by-step explanation:
180-15
Hello!
the sum of the angles in the triangle = 180°
so the 3rd angle = 180° - 165° = 15°
The answer is 15°In October of 2019, Gallup asked a random sample of 1,506 Americans which of two approaches to punishing murder they thought was better, the death penalty or life without possibility of parole. For the first time since Gallup began asking the question in 1985, a majority of Americans now say life imprisonment is a better approach for punishing murder than is the death penalty. According to the 2019 Gallup death-penalty poll, 60% percent of Americans asked to choose whether the death penalty or life without possibility of parole "is the better penalty for murder" chose the life-sentencing option. 36% favored the death penalty.
Required:
a. Find a 95% confidence interval for the proportion adults in the US that now believe life imprisonment is a better approach for punishing murder.
b. Interpret your interval above in the context of this problem.
c. Use your interval to find the margin of error associated with this confidence interval.
d. If we increase the level of confidence to 98%, will the interval be wider or narrower?
Answers
Answer:
a
The 95% confidence interval is \(0.5753< p <0.62474\)
b
This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval
c
The margin of error is \(E = 0.02474 \)
d
The confidence interval becomes wider
Step-by-step explanation:
From the question we are told that
The sample size is n = 1506
The sample proportion is \(\^ p = 0.60\)
From the question we are told the confidence level is 95% , hence the level of significance is
\(\alpha = (100 - 95 ) \%\)
=> \(\alpha = 0.05\)
Generally from the normal distribution table the critical value of \(\frac{\alpha }{2}\) is
\(Z_{\frac{\alpha }{2} } = 1.96\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } \)
=> \(E = 1.96 * \sqrt{\frac{0.60 (1- 0.60)}{1506} } \)
=> \(E = 0.02474 \)
Generally 95% confidence interval is mathematically represented as
\(\^ p -E < p < \^ p +E\)
=> \(0.60 - 0.02474 < p <0.60 + 0.02474\)
=> \(0.5753< p <0.62474\)
This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval
Generally the level of confidence varies directly with the critical value of \(\frac{\alpha }{2}\) and this in turn varies directly with the margin of error which when sample proportion is constant it determines the width of the confidence interval so when the level of confidence increases the confidence interval becomes wider
The water level is a number that indicates whether the level is above or below normal using positive or negative values. After a heavy storm, the water level of a river is −3.7 feet. This level is 1/2 times 2.5 feet more than the previous water level.
What was the previous water level?
A. -18.5
B. -9.9
C. -4.9
D. -4.3
Note: I think it is -4.9. If you have the actual right answer please leave it down below. Thanks.
Answers
Answer:
I also believe it is -4.9 but I may be mistaken
Step-by-step explanation:
Write an equation to find p, the number of pounds of food that an adult manatee can eat in d days?
Answers
Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.
Here,
Let's assume that an adult manatee eats "r" pounds of food per day on average. Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d
Here, "p" represents the number of pounds of food, "r" represents the average amount of food consumed per day, and "d" represents the number of days. So, if we know the average amount of food consumed by an adult manatee per day, we can use this equation to calculate how much food it will eat in any given number of days.
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32% adults favor the use of unmanned drones by police agencies. Twelve u.s. adults are randomly selected. Find the probability that the number of u.s. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight
Answers
Answer:
C
Step-by-step explanation:
32% of 12 =
32/100 x 12
= 3.84
So, C would be the correct choice
I wasn't sure about my answer so used the Gauthmath App
A city council consiste of 8 democrats and 6 republicans. If a committee of 4 people is selected,find the probability of selecting 2 democrats and 2 republicans
Answers
Answer:
Step-by-step explanation:
8C2 * 6C2
============
14C4
8C2 = 8*7/1 * 2 = 28
6C2 = 6*5 / 1*2 = 15
14C4 = 14*13 *12 * 11 / (1 * 2 * 3 * 4) = 1001
28 * 15 / 1001 = .4195
what are the factors of 63
Answers
Answer:
1,3,7,9,21,63
Step-by-step explanation:
Trust me fam
Equation A is equal to (C + D) x (C + D). Equation B is equal to 2 x (C + D). If C and D were numbers that were greater than zero, which equation would give you a bigger value ? Equation A or Equation B ? Give an example for C and D that supports your answer. PLEASE HELP TIMED EXAM!!!!!
Answers
According to the question an example of C = 3 and D = 2 supports the answer that Equation A gives a bigger value than Equation B.
What is equation?Two equations are considered to be comparable when their roots and solutions line up. To create an equivalent equation, the identical quantity, symbol, or expression has to be added to or removed from both of the equation's two sides. We can also create a similar equation by dividing or multiplying each component of an equation with a nonzero value.
given,
To determine which equation would give a bigger value, we can compare the expressions obtained by expanding Equation A and simplifying Equation B.
Expanding Equation A, we get:
A = (C + D) x (C + D) = C² + 2CD + D²
Simplifying Equation B, we get:
B = 2 x (C + D) = 2C + 2D
To compare the values of A and B, let's choose some values for C and D that are greater than zero. Let's choose C = 3 and D = 2.
Plugging these values into Equation A, we get:
A = 3² + 2(3)(2) + 2² = 9 + 12 + 4 = 25
Plugging these values into Equation B, we get:
B = 2(3 + 2) = 2(5) = 10
Since A is greater than B for the values of C = 3 and D = 2, we can conclude that Equation A gives a bigger value than Equation B for positive values of C and D.
Therefore, an example of C = 3 and D = 2 supports the answer that Equation A gives a bigger value than Equation B.
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y=x^2-2x+7
i need help finding the axis of symmetry,the domain, the y-intercept and x intercept
Answers
The axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .
Explain about the features of parabolic function?A parabolic function is one that satisfies the formula f(x) = ax2 + bx + c and, when represented graphically in two dimensions, has the shape of a parabola. Any quadratic equation with just a second degree in x is the equation for a parabolic function.
The following characteristics define a basic parabola:
The y-axis, a symmetry axis, is where it is symmetric.At the origin, marking the minimal turning point, y has its minimum value. It is sometimes referred to as the parabola's vertex.The parabola's arms are infinitely long.Thus, from the given graph the value are obtained as:
the axis of symmetry is at x = 1, the domain is (-∞, +∞), the y-intercept c is at 7 and x intercept is not applying .Know more about parabolic function
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Find the Area of the figure below, composed of a rectangle and a semicircle. The
radius of the circle is shown. Round to the nearest tenths place.
12
Answers
Area of figure is sum of area of rectangle and a semicircle therefore
Area= length x width+(π x r²) / 2=12 x 12+(π x 6²) / 2 = 172.3 square units.
What is Rectangle?A rectangle is a geometric shape that has four sides and four angles, with each angle measuring 90 degrees. The opposite faces of a rectangle are parallel and same in magnitude.
What is semicircle?A semicircle is a two-dimensional geometric shape that is 1/2 of a circle . It is formed by drawing a diameter of a circle and then removing one of the two resulting halves, leaving only one of the halves.
In the given question,
Area of rectangle = 12 x 12 = 144 square units
Area of semicircle = (π x r²) / 2 =28.27 square units (rounded to two decimal places)
Area of figure = 144 + 28.27 = 172.27 square units
Rounding to the nearest tenth, the area of the figure is approximately 172.3 square units.
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a store is offering a 20 percent discount on all items. The price of the hat after the discount is 18 dollars what was the original price
Answers
Answer: $22.50
Step-by-step explanation:
20% = 0.2
$22.50 x 0.2 = $4.50
$22.50 - $4.50 = $18.00
Therefore, the answer is 22.50. I hope this helps !
The original price of the hat after 20% discount is $22.5.
What is discount?Discount is defined as the financial amount by which the original cost of an entity is reduced.
Original price after {x}% discount is -
P{O} = P{O} - {x}% of P{O}
P{O} = P{O} - xP{O}/100
Given is that a store is offering a 20 percent discount on all items. The price of the hat after the discount is 18 dollars.
Price after discount → $18
Let the original price of the hat be → {x}.
We can write -
18 = x - {20% of x}
\($18 = x -\frac{20x}{100}\)
\($18 = x -\frac{x}{5}\)
\($\frac{4x}{5} = 18\)
4x = 90
x = 22.5
Therefore, the original price of the hat after 20% discount is $22.5.
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Someone please help me fast! here is screenshot algebra. QUICK PLSSS
Answers
Answer:
\(\displaystyle{f(x)=3^x-5}\)
Step-by-step explanation:
Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.
Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:
\(\displaystyle{f(x)=3^x-5}\)
or A choice.
Sixty percent of a plane's passengers are women and ten percent of those women are in first class. What is the number of women in first class if the plane is carrying 200 passengers?
Answers
Answer:
6
Step-by-step explanation:
60 women. 10 percent would be 6 cause 6 x 10 = 60
answer
12
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If an item has a sale price of 60$ after it has been discontinued 20%, what was the original price ?
Answers
Answer:
The original price would be $75
Step-by-step explanation:
I just used a calculator
Please help me ASAP
Answers
=====================================================
Explanation:
This is the only point in the shaded region. The other points are either on the boundary line or outside the shaded region. Points on the boundary do not count because of the dashed line. The dashed line is due to no presence of an "or equal to" as part of the inequality sign.
See the diagram below.
---------------------
A nonvisual approach will have you plug each of the coordinates into the given inequality.
For instance, choice A has x = 0 and y = 2 pair up which plug in to get
y < (-2/3)x + 2
2 < (-2/3)*0 + 2
2 < 2
which is false, so that's why choice A is not the answer. You should find that choices B and D are false too. Only choice C is true because
y < (-2/3)x + 2
0 < (-2/3)*0 + 2
0 < 2
which confirms the answer we got when we used the visual approach.
Sally is given $850. Every year, she decides to donate 9% of this money to charity until she has none left.
After 34 years, approximately how much money will Sally have left?
Answers
Answer:
Step-by-step explanation:
Year 1: $850 * 0.91 = $773.50
Year 2: $773.50 * 0.91 = $704.69
Year 3: $704.69 * 0.91 = $641.95
...
Year 34: (continue the pattern)
We can continue this calculation for each year, but to save time, we can use an exponential decay formula:
Remaining Amount = Initial Amount * (1 - rate)^years
Substituting the values:
Remaining Amount = $850 * (1 - 0.09)^34
Calculating this expression:
Remaining Amount ≈ $850 * (0.91)^34 ≈ $255.88
After 34 years, approximately $255.88 will be left with Sally.
Find the lowest common denominator.
1 1 2
----------- , ------------ , -------------
(x+2)2 (x-2)2 x2-4
Answers
The LCD of 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) is (x+2)^2(x-2)^2(x+2)(x-2) = (x+2)^3(x-2)^3.
To find the lowest common denominator (LCD) of three fractions, we need to identify the factors of each denominator and select those factors that are common to all denominators.The given fractions are: 1/ (x+2)^2, 3/ (x-2)^2, and 4/ (x^2-4).
The first denominator (x+2)^2 can be factored using the formula for the difference of two squares. The denominator of 3/(x-2)^2 can also be factored using the formula for the difference of two squares.
Finally, the denominator of 4/(x^2-4) can be factored using the formula for the difference of two squares and the formula for the sum of two squares.
So, 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) can be rewritten as follows:1/ (x+2)^2 = A/(x+2) + B/(x+2)^2. Multiplying both sides by (x+2)^2 gives:1 = A(x+2) + B ... (1)3/ (x-2)^2 = C/(x-2) + D/(x-2)^2.
Multiplying both sides by (x-2)^2 gives:3 = C(x-2) + D ... (2)4/ (x^2-4) = E/(x-2) + F/(x+2). Multiplying both sides by (x^2-4) gives:4 = E(x-2)(x+2) + F(x+2)(x-2) ... (3)
Now, we need to solve these equations for A, B, C, D, E, and F. First, we will solve equation (1) for A and B by substituting x = -2, which gives A = -1/4. Then we will substitute x = -2 again and solve for B, which gives B = 1/4. Next, we will solve equation (2) for C and D by substituting x = 2, which gives C = 3/4.
Then we will substitute x = 2 again and solve for D, which gives D = -3/4. Finally, we will solve equation (3) for E and F by substituting x = 2 and x = -2, which gives E = 1/2 and F = 1/2.
Now, we have A = -1/4, B = 1/4, C = 3/4, D = -3/4, E = 1/2, and F = 1/2. The LCD is the product of all the factors that appear in the denominators of the fractions, each raised to the highest power that appears.
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