Answer:
D
Step-by-step explanation:
Answer:
ok so the odd one out is A) the measure of <ahd is 30°
Step-by-step explanation:
external angle is equal to the sum of the two interior angles on the opposite side
3x= x +15 +x +15
3x=x+x+15+15
3x= 2x +30
3x-2x= 30
x = 30
Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation.
Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths.
What is OB'?
1.5 units
3 units
4.5 units
6 units
Mark this and return
Answer:
(b) 3 units
Step-by-step explanation:
You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.
DilationThe dilation factor multiplies every length.
If OB is 3/4, then OB' is 4(3/4) = 3.
The length of OB' is 3 units.
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He measured the pool’s dimensions to be 15 feet long by 35 feet wide. The actual dimensions of the pool are 14.5 feet by 34.75 feet. Find Jack’s percent error to the nearest percent.
Answer:
Percent error = -4.02 (Approx.)
Step-by-step explanation:
Given:
Estimated pool dimension = 15 ft long and 35 ft wide
Actual pool dimension = 14.5 ft long and 34.75 ft wide
Find:
Percent error
Computation:
Area of Estimated pool = 15 x 35
Area of Estimated pool = 525 ft²
Area of Actual pool = 14.5 x 34.75
Area of Actual pool = 508.875 ft²
Percent error = [(Actual - Estimated) / Estimated]100
Percent error = [(508.875 - 525) / 525]100
Percent error = [(-21.125) / 525]100
Percent error = -4.02 (Approx.)
fraction bears the same ratio to 1/27 as 3/7 does to 5/9.then the fraction is?
The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.
To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.
Let's represent the unknown fraction as x. The ratio can be configured as follows:
x / (1/27) = (3/7) / (5/9)
To solve this proportion, we can cross-multiply:
(x * 5/9) = (3/7) * (1/27)
Simplifying the right side:
(x * 5/9) = 3/189
To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:
(x * 5/9) * (9/5) = (3/189) * (9/5)
Simplifying further:
x = 27/35
Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.
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Elmo made a 65 potholders each pot holder cost him $1.65 to make if he sells each pot holder for $2.12 how many profit will he make?
Answer:
Step-by-step explanation:
$2.12 - $1.65 = $0.47
$0.47 x 65 = $30.55 profit.
This is an exercise in the formula to calculate the profits obtained from the sale of a product, it is an essential tool in the management of any business. By knowing the profits obtained from the sale of a product, business owners and managers can make informed decisions and adjust their business strategies to maximize their profitability.
Profit is calculated by subtracting the total costs of production from the total revenue earned from the sale of a product. Total production costs include not only the direct costs associated with manufacturing the product, but also indirect costs, such as advertising and marketing costs, the cost of packaging materials, and other overhead.
The total income obtained from the sale of a product is the product of the number of units sold by the sale price per unit. It is important to remember that the selling price per unit must be sufficient to cover both the direct and indirect costs of production, and to provide a reasonable profit.
Once the profit earned from the sale of a product has been calculated, business owners and managers can use this information to improve their profitability. If profits are low, they might consider lowering production costs, raising the selling price, or finding ways to sell more units. On the other hand, if profits are high, they might consider increasing their investment in advertising and marketing to attract more customers and expand their business.
In addition, profit calculation can also help business owners and managers assess the feasibility of launching a new product or expanding into new markets. By calculating total production costs and potential total revenue, they can determine if the new product or market is profitable and make informed decisions about whether to proceed with the launch or expansion.
In order for us to calculate Elmo's profit, we need to determine how much he spent to make the potholders and how much he will earn from selling them.
The total cost of making the handles is the product of the number of handles times the cost per unit:
Total cost = 65 potholders × $1.65/potholder = $107.25
The total revenue from selling the handles is the product of the number of handles times the selling price per unit:
Total revenue = 65 potholders x $2.12/potholder = $137.8
Elmo's profit is the difference between total revenue and total cost:
Profit = Total Revenue - Total Cost
Profit = $137.8 - $107.25 = $30.55
Profit = $30.55
Elmo will make a profit of $30.55 by selling 65 potholders.
Calculate the amount you would pay (including tax) for an item normally priced $1199 that is currently 30% off, for which you have an additional 10% off coupon, in an area where sales tax is 7%. (the discounts can be stacked or figured sequentially, tax must be applied after the discounted price is determined)
Answer: The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:
30% of $1199 = 0.3 x 1199 = $359.70
So, the discounted price is:
$1199 - $359.70 = $839.30
Next, we apply the additional 10% off coupon to this discounted price:
10% of $839.30 = 0.1 x $839.30 = $83.93
The final price after the coupon is applied is:
$839.30 - $83.93 = $755.37
Finally, we calculate the sales tax on this final price:
7% of $755.37 = 0.07 x $755.37 = $52.88
The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
5. Find AB, BC, and AC.
Part I: The length of line segment AC is 8x-9. Use the figure below to find the value of x. Show
your work. (1 point)
3x + 1
B
4x-5
C
To find the value of x, we can use the fact that the sum of the lengths of the line segments in a triangle is equal to the total length of the triangle.
In this case, we have:
AC = 8x - 9
AB = 3x + 1
BC = 4x - 5
The sum of the lengths of the line segments AB, BC, and AC should be equal to the total length of the triangle ABC. Therefore, we can set up the equation:
AB + BC + AC = total length of triangle ABC
(3x + 1) + (4x - 5) + (8x - 9) = total length of triangle ABC
Simplifying the equation, we get:
15x - 13 = total length of triangle ABC
Since we don't have any additional information about the triangle, we can't determine the exact length of the total triangle. Therefore, we cannot find the exact value of x using the given figure.
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Which table of ordered pairs represents s function?
Answer:
top right is your anwer!!
what is the difference between 7 and 3
Answer:
4
Step-by-step explanation:
The difference between the numbers 7 and 3 is 4.
We have,
The given expression is solved by using subtraction.
The expression can be written as:
= 7 - 3
The difference between 7 and 3 is calculated by subtracting the smaller number (3) from the larger number (7):
= 7 - 3
= 4
Therefore,
The difference between the numbers 7 and 3 is 4.
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using the example in slide 11-13 of lecture 12 as a model, illustrate the operation of max heap-insert (a, 15, 12) on the heap a=<16, 13, 9, 5, 12, 8, 7, 4, 0, 6, 2, 3>
Answer:
jbckjsdbkjsbx
Step-by-step explanation:
Choose 1 answer:
A
B
C
D
-7≤ x ≤7
The x-values -7, -2, 5, and 7
0≤x≤7
The x-values 0, 2, 4, 5, and 7
the domain of the function 0≤x≤7.
What is the domain and range of function?
A function's domain and range are its components. A function's range is its potential output; its domain is the set of all conceivable input values. Domain, Function, and Range. If a function f: A B exists that maps every element in A to an element in B, then A is the domain and B is the co-domain. The image of an element 'a' under a relation R is provided by 'b,' where (a,b) R. The set of photographs makes up the function's range.
From the graph, the value of x varies from The x-values -7, -2, 5, and 7
So the domain of the function will be
0≤x≤7
Hence, the domain of the function 0≤x≤7.
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The graph of Fx), shown below, resembles the graph of G(x) = x2, but it has
been changed somewhat. Which of the following could be the equation of
F(x)?
Answer:
Correct answer is:
C. \(F(x) =-x^{2} -3\)
Step-by-step explanation:
We are given a function:
\(G(x) = x^{2}\)
The graph of \(G(x)\) is also shown in the given question figure.
It is a parabola with vertex at (0,0).
Sign of \(x^{2}\) is positive, that is why the parabola opens up.
General equation of parabola is given as:
\(y = a(x-h)^2+k\)
Here, in G(x), a = 1
Vertex (h,k) is (0,0).
As seen from the question figure,
The graph of F(x) opens down that is why it will have:
Sign of \(x^{2}\) as negative. i.e. \(a = -1\)
And vertex is at (0,-3)
Putting the values of a and vertex coordinates,
Hence, the equation of parabola will become:
\(y = -1(x-0)^2+(-3)\\y = -x^2-3\)
The correct answer is:
C. \(F(x) =-x^{2} -3\)
The required equation of graph f(x) is \(y = -x^{2} -3\)
Given that,
The graph of f(x), resembles the graph of G(x) = \(x^{2}\).
We have to find,
Which of the following could be the equation of f(x).
According to the question,
Function, \(G(x) = x^{2}\),
The graph in the given question figure. It is a parabola with vertex at (0,0).
By the graph predict that Sign of \(x^{2}\) is positive, that is why the parabola opens up.
General equation of parabola is given by,
\(y = a(x-h)^{2} +k\)
Where, a = 1, and vertex (h, k) is (0,0).
The graph of F(x) unknown function opens down ,
Sign of \(x^{2}\) as negative. and the vertex is at (0,-3)
To find the equation of function f(x),
Putting the values of a and vertex coordinates,
\(y = a(x-h)^{2} +k\)
The equation of parabola become:
\(y = -1(x-0)^{2} +(-3)\\\\y = -x^{2} -3\)
Hence, The required equation of f(x) is \(y = -x^{2} -3\).
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A piece of wood is in the shape of a rectangular prism with a length of 10 inches, a width of 4 inches, and a height of 5 inches. You cut the wood in half to form two pieces of wood, each with a length of 5 inches. What is the percent increase in the total surface area? Round your answer to the nearest hundredth, if necessary. %
Answer: 18.18%
Step-by-step explanation:
First, let's calculate the surface area of the original piece of wood. The surface area (SA) of a rectangular prism is given by the formula:
\($$SA = 2lw + 2lh + 2wh$$\)
where \(\(l\)\) is the length, \(\(l\)\) is the width, and \(\(h\)\) is the height. For the original piece of wood, \(\(l = 10\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\).
After the piece of wood is cut in half, the length becomes 5 inches, but the width and height remain the same. So, for each of the two new pieces of wood, \(\(l = 5\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\). The total surface area of the two new pieces of wood is twice the surface area of one of the new pieces.
The percent increase in the total surface area is given by the formula:
\($$\text{Percent Increase} = \frac{\text{New Total SA} - \text{Original SA}}{\text{Original SA}} \times 100\%$$\)
Let's calculate these values.
The percent increase in the total surface area when the piece of wood is cut in half is approximately 18.18%.
how would i simplify this?
I need help! DUE IN 2 HOURS WILL MARK BRAINLIEST!!!
The exponential model for the data is: \(y = 693(1.5)^x\)
When the cost is of $6000, the weight is of approximately 5.3 carats.
What is an exponential function?An exponential function is modeled by:
\(y = ab^x\)
In which:
a is the initial value.b is the rate of change.From the table, the rate of change is given by:
b = 4980/3210 = 3210/2140 = 2140/1430 = 1.5.
When x = 1, y = 1040, hence the initial value is found as follows:
1.5a = 1040.
a = 1040/1.5
a = 693.
So the model is:
\(y = 693(1.5)^x\)
When the cost is of $6000, the weight is found as follows:
\(693(1.5)^x = 6000\)
\((1.5)^x = \frac{6000}{693}\)
\(1.5^x = 8.658\)
\(\log{1.5^x} = \log{8.658}\)
x log(1.5) = log(8.658)
x = log(8.658)/log(1.5)
x = 5.3
When the cost is of $6000, the weight is of approximately 5.3 carats.
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what is the Smallest numbers :
p = x^2 + 2x +2 / x+1 (x>-1)
t= 1/x + 4/1-x (0
Answer:
I exactly don't know the answer
Convert the rectangular coordinates to polar coordinates
(1, -9)
The polar coordinates of (1, -9) are (9.06, -1.47 radians).
To convert from rectangular coordinates to polar coordinates, we can use the following formulas:
r = √(x² + y²)
θ = tan⁻¹(y/x)
where r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin to the point.
In this case, x = 1 and y = -9. Plugging these values into the formulas, we get:
r = √(1² + (-9)²) = √82 ≈ 9.06
θ = tan⁻¹((-9)/1) ≈ -1.47 radians
Therefore, the polar coordinates of (1, -9) are (9.06, -1.47 radians). The distance from the origin to the point is approximately 9.06 units, and the angle between the positive x-axis and the line connecting the origin to the point is approximately -1.47 radians (or approximately -84.26 degrees).
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Please explain how to solve this
The solution to the variables are x = 7 and y = 4
How to determine the solution to the variables?From the question, we have the following parameters that can be used in our computation:
Shape = Triangle
The marks on the triangles imply that
The visibly smaller triangle is an equilateral triangleThe other triangle is an isosceles triangleSo, we have the following representation
3x - 5 = 5y - 4
3x - 5 = y + 12
Substitute 3x - 5 = y + 12 in 3x - 5 = 5y - 4
y + 12 = 5y - 4
Evaluate the like terms
4y = 16
So, we have
y = 4
Substitute y = 4 in 3x - 5 = y + 12
3x - 5 = 4 + 12
So, we have
3x = 21
This gives
x = 7
Hence, the values are x = 7 and y = 4
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Carlos ran 3 1/2 miles on Saturday and
2 1/2 miles on Sunday. How many yards
did Carlos run in all? Show your work.
Answer:
6 yard
Step-by-step explanation:
Since, it given that:
Carlos ran 3 1/2 miles on Saturday and 2 1/2 miles on Sunday.
And asking for how many yards carlos run in all
in all = add
3 1/2 + 2 1/2
Add the whole number
3 + 2 = 5
Since they have the same denominator we can just add them
1/2 + 1/2 = 1 whole
Since it a whole we can add to the whole number
5 + 1 = 6
Thus, Carlos run 6 yards.
Lenvy
Answer:
6 yards
Step-by-step explanation:
To Find:
How many yards did Carlos run in all?
Solution:
In all means addition in this question
Thus,
3 1/2 and 2 1/2
3 1/2 + 2 1/2
we can turn them into improper fraction and then find the answer
3 1/2 = 7/2 and 2 1/2 = 5/2
7/2 + 5/2 = 12/2
12/2 = 6
Hence, Carlos run 6 yards in all
[RevyBreeze]
2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explain each step in figuring out how to determine the time it would
take Jennifer to complete this job on her own. Pls help 20 minutes left
Answer:
Jennifer would complete the job on her own in 5 hours.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
\(ax^{2} + bx + c, a\neq0\).
This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:
\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)
\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)
\(\Delta = b^{2} - 4ac\)
Rates
The together rate is the sum of their separates rate.
We have that:
Jennifer takes x hours to complete the job on her own, so her rate is 1/x.
Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).
The together rate is 1/4. So
\(\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}\)
\(\frac{1}{4} = \frac{15 + x + x}{x(15+x)}\)
\(\frac{1}{4} = \frac{15 + 2x}{x(15+x)}\)
Applying cross multiplication.
\(x^2 + 15x = 4(15 + 2x)\)
\(x^2 + 15x = 60 + 8x\)
\(x^2 + 7x - 60 = 0\)
Quadratic equation with \(a = 1, b = 7, c = -60\). So
\(\Delta = 7^{2} - 4*1*60 = 289\)
\(x_{1} = \frac{-7 + \sqrt{289}}{2} = 5\)
\(x_{2} = \frac{-7 - \sqrt{289}}{2} = -12\)
Since the time to complete the job has to be a positive value.
Jennifer would complete the job on her own in 5 hours.
which expression is equivalent to n+n-0.18n
a. 1.18n
b. 1.82n
c. n- 0.18
d. 2n - 0.82
Answer:
Simplifying the expression `n + n - 0.18n`, we get:
n + n - 0.18n = 2n - 0.18n
Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.
Looking at the answer choices:
a. 1.18n
b. 1.82n
c. n- 0.18
d. 2n - 0.82
We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.
Therefore, the answer is d. 2n - 0.82.
Step-by-step explanation:
One container of fertilizer covers 900 square feet. A property has a rectangular backyard that is 30 feet long and 20
feet wide. The front yard is triangular with a base of 24 feet and a height of 12 feet. What percentage of the container
will be used on the property? Round to the nearest percentage.
Answer:
82.67% of the fertilizer will be used on the property.
Step-by-step explanation:
Area of Plane Figures
The backyard described in the problem has two parts: One with a rectangular shape of 30 feet by 20 feet. The other with a triangular shape with a base of 24 feet and a height of 12 feet.
The area of a rectangle is calculated by:
\(A_r=L*W\)
And the area of a triangle is:
\(\displaystyle A_t=\frac{B*H}{2}\)
All the backyard will be covered by fertilizer coming from a container with a capacity of 900 square feet.
The total area of the backyard is the sum of the area of the rectangle Ar and the area of the triangle At as follows:
\(A_r=30*20=600\ ft^2\)
\(\displaystyle A_t=\frac{24*12}{2}=144\ ft^2\)
The total area of the backyard is:
\(A=600\ ft^2+144\ ft^2=744\ ft^2\)
To find the percentage of the container, we calculate:
\(\displaystyle \frac{744}{900}*100\%=82.67\%\)
82.67% of the fertilizer will be used on the property.
If you draw a card from a standard deck of 52 playing cards, what is the probability that it is a heart or a diamond?
Answer:
1/2
Step-by-step explanation:
In a deck of cards, there are 13 hearts and 13 diamonds
13+13 = 26 hearts or diamonds
P( hearts or diamonds) = numbers of hearts or diamonds / total
=26/52
= 1/2
I need help with both of these, list the sides of the figures from shortest to longest.
Answer:
First question
AC, AB,CB,CD,BD
Second question
KM, KL,ML,LN,MN
Step-by-step explanation:
Observe the different lengths of the triangles and where they connect the longest side of the little triangle is the shortest side of the biggest one
Put these numbers in order from greatest to least
-2/8
34/40
9/12
4
Answer:
4, 34/40, 9/12, -2/8
Step-by-step explanation:
Hope this helps!
Assume that a sample is used to estimate a population proportion p. Find the 95% confidence for a sample of size 246 with 52% successes. Enter your answer as an open -interval using decimals
Using the z-distribution, the 95% confidence interval for the proportion is given as follows:
(0.4576, 0.5824).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which:
\(\pi\) is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.
The other parameters for the interval are given as follows:
\(n = 246, \pi = 0.52\).
The lower and upper bound of the interval, respectively, are given by:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{246}} = 0.4576\)
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{246}} = 0.5824\)
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What is equal to 7/10
Answer:
14/20
Step-by-step explanation:
this is equal to 7/10. have a nice day!!
An equivalent fraction for a/b is found by multiplying the numerator and denominator by a common integer. 7/10. If you want to do a higher number you can do 7x2 and 10x2 which would be 14/20. You can't do smaller fraction since it is not even.
AXYZ AMNL
X
XY =
33°
Y
LA
12
N
124°
N
8
M
Answer:
8
Step-by-step explanation:
You want to know the measure of segment XY if ∆XYZ ≅ ∆MNL and MN = 8.
Corresponding sidesSegment XY is named using the first two vertices listed in the name of ∆XYZ. That means the segment is the same length as the one named by the first two vertices listed in the name of congruent ∆MNL, segment MN.
Segment MN is given as 8 units long. Segment XY is congruent, so is also 8 units long.
XY = 8 units
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Graciela begins the month with $300 and is spending $20 per
week. Her brother Sergio begins the month with $150 and is saving $10 per week. Sergio wants to know when they will have the same amount of money.
W
Let represent the number of weeks since the beginning of the
month. Which equation represents this situation?
Answer:
300-20w=?
150+10w=?
Step-by-step explanation:
Answer:
Step-by-step explanation:
320
Find the trigonometric functions for angle e and angle d
Answer:
∠E = tan
∠D = tan
Step-by-step explanation:
Common sense, only perpendicular and base is present.
B
E
7
4
3
1
-2 -1 0
D
Determine the line of reflection.
O Reflection across x = 4
Reflection across y = 4
Reflection across the x-axis
Reflection across the y-axis
3
4
C
D'
8
E'
9
10
B'
A'
11
Answer: 10
Step-by-step explanation: it is a 5+ 5 =