Answer:
The figure is translate right 3 and up 1.
Step-by-step explanation:
Look at point S. To go to point S' you need to move right 3 spaces and then up 1 space. That is true for every point on the original figure to go to the new figure.
Helping in the name of Jesus.
what are the features of the function g if g(x)= f(x+4) +8
The domain, range, x-intercept, or y-intercept of g(x) = f(x + 4) + 8. The features of g depend on the corresponding features of f.
Given the function g(x) = f(x + 4) + 8, let's examine its features:
Domain:
The domain of the function g will be the same as the domain of the function f, which depends on the restrictions or constraints of f. However, it is important to note that shifting the input by 4 units (x + 4) does not inherently change the domain unless there are specific restrictions imposed by f.
Range:
Similar to the domain, the range of the function g will depend on the range of the function f.
x-intercept:
The x-intercept of a function is the point where the graph intersects the x-axis, meaning the y-coordinate is zero (y = 0). To find the x-intercept of g(x), we set g(x) = 0 and solve for x.
0 = f(x + 4) + 8
By subtracting 8 from both sides:
-8 = f(x + 4)
Since the exact value of x that makes f(x + 4) equal to -8. The x-intercept will depend on the behavior of f.
y-intercept:
The y-intercept of a function is the point where the graph intersects the y-axis, meaning the x-coordinate is zero (x = 0). To find the y-intercept of g(x), we substitute x = 0 into the function:
g(0) = f(0 + 4) + 8
g(0) = f(4) + 8
Again, the specific value of f(4) will depend on the behavior of the function f.
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please answer both for 50 points
Step-by-step explanation:
This question can't be answered......i
pic is not cleared104.037 what is the value of the 7
Answer:
The value of 7 is 0.07.
Step-by-step explanation:
Basically, it is seven thousandths.
Hope I helped! ☺
EASY POINTS!
Which equation represents the image of the line y = 3x +1 after a translation of 3 units on the x-axis?
The equation represents the image of the line y = 3x +1 is y' = 3(x - 3) +1.
What is Translation?Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.
For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written ( x , y ) → ( x + 5 , y + 3 ) .
Given:
The transformation that translates function y = f(x) by h units right and k units up is
y' = f(x -h) +k
We have y= 3x+ 1
So, After translating 3 units to x axis the function will become
y' = 3(x - 3) +1
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The diagram shows a shape made from a solid cube and a solid cylinder.
The cube has sides of length 8.7 cm.
The cylinder has a radius of 2.7 cm and a height of 4.9 cm.
Calculate the total surface area of the solid shape.
Give your answer correct to 3 significant figures.
The total surface area of the solid shape made from the cube and cylinder is approximately 583.31 cm².
How to calculate the areaThe side length of the cube is 8.7 cm, so the surface area of one face is A = 8.7²
= 75.69 cm²
Since there are six faces, the total surface area of the cube is 6 * 75.69 = 454.14 cm²
Since there are two circular bases, the total surface area of the bases is 2 * 22.91 = 45.82 cm².
In this case, the radius of the cylinder is 2.7 cm and the height is 4.9 cm, so the curved surface area is A_curved = 2 * π * 2.7 * 4.9 ≈ 83.35 cm².
Total surface area = surface area of the cube + surface area of the cylinder
Total surface area = 454.14 cm² + 45.82 cm² + 83.35 cm²
Total surface area ≈ 583.31 cm²
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Select the correct answer.
Evaluate the following expression when x = -4 and y = 4.
x
6
−
x
4
y
A.
1
,
025
4
B.
1
,
023
4
C.
16
,
385
4
D.
−
1
,
023
4
Answer:
1023/4
Step-by-step explanation:
shown in the picture
The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?
Answer:
Given:
Area of the sector (A) = 104π/9 square inches
Central angle (θ) = 65 degrees
The formula for the area of a sector of a circle is:
A = (θ/360) * π * r^2
We can rearrange this formula to solve for the radius (r):
r^2 = (A * 360) / (θ * π)
Plugging in the given values:
r^2 = (104π/9 * 360) / (65 * π)
r^2 = (104 * 40) / 9
r^2 = 4160 / 9
r^2 ≈ 462.22
Taking the square root of both sides:
r ≈ √462.22
r ≈ 21.49
Therefore, the radius of the circle is approximately 21.49 inches.
Answer: 8 inches
Step-by-step explanation:
Use the following sets to answer the question.
A={1,2,3,4,5}
B={5,6,7,8}
Which answer shows the union of sets A
and B?
{5}
{1,2,3,4,6,7,8,9}
{1,2,3,4,5,6,7,8}
{2,4,8}
The union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}.
The union of two sets A and B is the set of all elements that are in A, or B, or both. In this case, the elements in set A are {1, 2, 3, 4, 5} and the elements in set B are {5, 6, 7, 8}.
To find the union of these sets, we simply combine all the elements from both sets but remove any duplicates.
Therefore, the answer that shows the union of sets A and B is {1, 2, 3, 4, 5, 6, 7, 8}, since it contains all the elements from both sets without any duplicates.
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A 3-column table with 4 rows. Column 1 has entries Computer repair, sales tax, gratuity, shipping. Column 2 is labeled Store A with entries 1,200 dollars, 6 percent, 15 percent, Free. Column 3 is labeled Store B with entries 1,350 dollars, 7 percent, 15 percent, 2 percent of total price. How much sales tax will be charged at Store B?
94.50 it's right because i got it wrong for yall so it's right
Answer:
your answer is 94.50
Step-by-step explanation:
i got it right
TRAVEL Marion is travelling 500 miles by car. She drives 250 miles at an average rate of x miles per hour the first day and the remaining 250 miles at an average rate of x−5
miles per hour. Select the expression that represents the amount of time Marion spent traveling the 500 miles. (Hint: Write out the units to determine how to solve the problem.)
Multiple choice question.
A)
x(x−5)/500x−1250
B)
62,500/x(x−5)
C)
500x−1250/x(x−5)
D)
500/2x−5
Answer:
C) (500x - 1250)/x(x - 5)----------------------------------
We know that the equation for the time is:
time = distance / speedFind the time at travel in the first day:
250/xFind the time at travel in the second day:
250/(x - 5)To find the total time add app the two expressions we got above:
250/x + 250/(x - 5) = 250[1/x + 1/(x - 5)] = 250(x - 5 + x)/x(x - 5) = 250(2x - 5)/x(x - 5) = (500x - 1250)/x(x - 5)There matching choice is C.
Which of the following options have the same value as 80%, percent of 22?
Answer:
A
D
E
is the correct answer
Answer:
A
D
E
Step-by-step explanation: it was right on khan academy so I think it is right
A small acting club has 8 members. Two of the members are to be chosen for a trip to see a Broadway play. How many different 2 -member groups are possible?
The different 2-member groups that are possible is 28
How to determine the different 2 -member groups that are possibleFrom the question, we have
Total number of members, n = 8
Numbers to selection, r = 2
The number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 8 and r = 2
Substitute the known values in the above equation
Total = ⁸C₂
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 8!/(6! * 2!)
Evaluate
Total = 28
Hence, the number of ways is 28
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At which points is the function continuous?
The function is continuous in the domain x ≥ 3/4
At which points is the function continuous?Here we have a root function:
f(x) = ⁴√(4x - 3)
This is an even degree root function, so we have problems when the argument is negative.
Then the allowed values (where the function is defined, and thus, continuous) are:
4x - 3 ≥ 0
4x ≥ 3
x ≥ 3/4
There the function is continuous.
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Plz help me
A.6x3+2 3/4=20 3/4 cm3
B.6x3x2 3/4= 49 1/2 cm3
C.6+3+2 3/4=11 3/4 cm3
D.3x2 3/4= 8 1/4
Answer:
The answer to this would be B.
Step-by-step explanation:
When finding the volume of a three-dimensional object you want to use the formula, (Length) x (Height) x (Width) = (Volume)
In this case, 6 cm is your height
3 cm is your length,
and 2 3/4 cm is your width.
When you plug in those numbers, the only equation that matches is B. 6x3x2 3/4.
Hope this helped!
I invested $750 and earned 16% yearly interest
Write the equation
Complete the table
The equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is: Interest = $750 * 0.16.
To write the equation for calculating the yearly interest earned on an investment, we can use the formula:
Interest = Principal * Rate
Where:
- Principal is the initial investment amount.
- Rate is the interest rate expressed as a decimal.
In this case, you invested $750, and the annual interest rate is 16%. To use the decimal form of the interest rate, we divide it by 100:
Rate = 16% = 16/100 = 0.16
Substituting the values into the equation:
Interest = $750 * 0.16
To calculate the interest, we multiply the principal by the interest rate:
Interest = $750 * 0.16 = $120
Therefore, the equation to calculate the yearly interest earned on your investment of $750 at a 16% interest rate is:
Interest = $750 * 0.16
Now, let's complete a table to show the growth of your investment over multiple years. We'll assume the interest is compounded annually.
Year | Initial Investment | Interest Earned | Total Value
---------------------------------------------------------
1 $750 $120 $870
2 $870 $139.20 $1009.20
3 $1009.20 $161.47 $1170.67
4 $1170.67 $187.31 $1357.98
5 $1357.98 $217.28 $1575.26
In each year, we calculate the interest earned by multiplying the initial investment by the interest rate (16% or 0.16). The total value is obtained by adding the initial investment and the interest earned. This process is repeated for each subsequent year.
The table shows the growth of your investment over five years, demonstrating how the interest compounds and increases the total value each year.
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In a sample of 560 adults, 336 had children. Construct a 95% confidence interval for the true population proportion of adults with children.
Give your answers as decimals, to three places
< p <
What is the expected value of �?
The confidence interval is 0.559 < p < 0.641 and expected value is 0.600
Confidence IntervalTo construct a confidence interval for the true population proportion, we can use the formula:
p ± Z * √((p × (1 - p)) / n)
Where:
p = sample proportion (336/560)
Z = critical value for the desired confidence level
95% confidence = Z-value of approximately 1.96
n = 560
Let's calculate the confidence interval:
p = 336/560 ≈ 0.600
Z ≈ 1.96 (for a 95% confidence level)
n = 560
Plugging these values into the formula:
p ± Z × √((p × (1 - p)) / n)
0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)
0.600 ± 1.96 × √((0.240) / 560)
0.600 ± 1.96 × √(0.0004285714)
0.600 ± 1.96 × 0.020709611
0.600 ± 0.040564459
The confidence interval is:
0.559 < p < 0.641
Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.
The expected valueFor proportions, the expected value is simply the sample proportion, which is approximately 0.600.
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Enter the equation of a circle that is congruent to circle C and is centered at point P
The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².
What is the equation of a circle?In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;
(x - h)² + (y - k)² = r²
Where:
h and k represent the coordinates at the center of a circle.r represent the radius of a circle.Based on the information provided, we have the following parameters for the equation of this circle:
Center (h, k) of P = (1, 5)Radius (r) of P = 5 units.By substituting the given parameters, we have:
(x - h)² + (y - k)² = r²
(x - 5)² + (y - 1)² = 5²
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John wishes to choose a combination of two types of cereals for breakfast - Cereal A and Cereal B. A small box (one serving) of Cereal A costs $0.50 and contains 10 units of vitamins, 5 units of minerals, and 15 calories. A small box (one serving) of Cereal B costs $0.40 and contains 5 units of vitamins, 10 units of minerals, and 15 calories. John wants to buy enough boxes to have at least 500 units of vitamins, 600 units of minerals, and 1200 calories. How many boxes of each cereal should he buy to minimize his cost?
Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:
10x + 5y ≥ 500 (minimum 500 units of vitamins)
5x + 10y ≥ 600 (minimum 600 units of minerals)
15x + 15y ≥ 1200 (minimum 1200 calories)
We want to minimize the cost, which is given by:
0.5x + 0.4y
This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:
10x + 5y = 500
5x + 10y = 600
15x + 15y = 1200
Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.
Next, we can calculate the value of the cost function at each corner point of the feasible region:
Corner point A: (20, 40) -> Cost = 20
Corner point B: (40, 25) -> Cost = 25
Corner point C: (60, 0) -> Cost = 30
Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.
Four different stores have sales on the same stickers.
Which deal gives the customer the best price per sticker?
A. 2 stickers for 25 cents
B. 3 stickers for 39 cents
c. 4 stickers for 80 cents
D. 5 stickers for 63 cents
The size of a television screen is given as the length of diagonal. For example, a 29 inch screen is 29 inches from the lower left corner to the upper right corner. Shaun bought a new 40 inch television screen. One side of the screen is 24 inches long. How long is the other side? 8.7C *
Answer:
32
i did the test
$10×$10 -$50+$30 = ?
question is in the picture
Answer:
B) 12.5 ft
Step-by-step explanation:
set up a proportion of inches/feet equals inches/feet
let 'h' = height of sign
5.4/18 = 3.75/h
cross-multiply:
5.4h = 67.5
h = 12.5
Amelia grabbed 50% of the M&M's from a bowl. Then, Jess took 50% of what was left. Dominick takes 50% of the remaining M&M's. There were 3 left. How many M&M's were in the bowl before Amelia arrived.
The number of M&M's that were in the bowl before Amelia arrived is; 12
How to solve Percentage problems?Let the original amount in the bowl be x. Thus;
If Amelia grabbed 50%, then amount left = (100% - 50%)x = 50%x = 0.5x
Now, we are told that domicick took 50% of what was keft after amelia. Thus; New amount left = 100%x - (0.5x + 0.25x) = 0.25x
Now, we are told that there were finally 3 left after all the deductions. Thus;
0.25x = 3
x = 3/0.25
x = 12
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Somebody please help me. I got the problem, and I have no idea what I'm supposed to do: (3/5x^2 - .4xy - 1.5y + 1) - (y^2 - 2/5xy + .6x^2
The simplified expression is: -1/5x^2 - 2/5xy - y^2 - 1.5y + 1.
What is simplified expression?Simplifying expressions mean rewriting the same algebraic expression with no like terms and in a compact manner.
To do this, we need to distribute the negative sign to the terms in the second set of parentheses and combine like terms. Let's start by distributing the negative sign:
(3/5x^2 - .4xy - 1.5y + 1) - y^2 + 2/5xy - .6x^2
Next, let's group the like terms together:
3/5x^2 - .6x^2 - .4xy + 2/5xy - 1.5y - y^2 + 1
Now, we can simplify by combining like terms:
1/5x^2 - 2/5xy - y^2 - 1.5y + 1
Therefore, the simplified expression is: -1/5x^2 - 2/5xy - y^2 - 1.5y + 1.
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If x = 35°, which two lines can be proven parallel?
a)n and o
b)l and m
c)n and l
d)m and o
Answer:
a) n and o
Step-by-step explanation:
by the concept of corresponding angles, angles that are equal when a line intersects 2 parallel lines .
l is the line that intersects n and o, and since x = 35, theyre corresponding angles resulting in n and o being parallel
Answer:
a) n and o
Step-by-step explanation:
Corresponding angles
The Levine family has 10 gallons of gas in the car. The car uses 1 5/8 of a gallon each hour. How long can they drive on 10 gallons of gas?
Answer:
6.15
Step-by-step explanation:
10 gallons is 80/8
1 5/8= 13/8
80 divided by 13 is 6.15384615385 but rounded 6.15
6.15 hours
if its not that then keep rounding to 6.2 or 6hrs
H(p)=p/5 + 15
What is the independent variable in this function
In the given function H(p) = p/5 + 15, the independent variable is "p" ,
The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.
It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.
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Can someone please explain how to solve this?
Will give brainly if you actually answer the question
Answer:
8.2 mph
Step-by-step explanation:
720 ft/min (60 min/hr / 5280 ft/mi) = 8.1818181818... mi/hr
Answer:
720 multiplied by 60 = 43200
43200 divided by 5280 = 8.18
8.18 rounds to 8.2
Find that the radius of curvature of ^2y=x^3-a^3
at the point where the
curves cut the X-axis.
The radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis is 27\(a^{\frac{3}{2}\).
To find the radius of curvature of the curve \(a^{2y\)=x³-a³ at the point where the curve intersects the x-axis, we need to first find the equation of the curve and then determine the value of y and its derivative at that point.
When the curve intersects the x-axis, y=0. Therefore, we have:
a⁰ = x³ - a³
x³ = a³
x = a
Next, we need to find the derivative of y with respect to x:
dy/dx = -2x/(3a²√(x³-a³))
At the point where x=a and y=0, we have:
dy/dx = -2a/(3a²√(a³-a³)) = 0
Therefore, the radius of curvature is given by:
R = (1/|d²y/dx²|) = (1/|d/dx(dy/dx)|)
To find d/dx(dy/dx), we need to differentiate the expression for dy/dx with respect to x:
d/dx(dy/dx) = -2/(3a²(x³-a³\()^{\frac{3}{2}\)) + 4x²/(9a⁴(x³-a³\()^{\frac{1}{2}\))
At x=a, we have:
d/dx(dy/dx) = -2/(3a²(a³-a³\()^{\frac{3}{2}\)) + 4a²/(9a⁴(a³-a³\()^{\frac{1}{2}\)) = -2/27a³
Therefore, the radius of curvature is:
R = (1/|-2/27a³|) = 27\(a^{\frac{3}{2}\)
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9. Which statement about the diagonals of a non-square rectangle is true?
The diagonals are parallel.
The diagonals are congruent.
The diagonals are perpendicular.
The diagonals bisect a pair of opposite angles.
The correct statement about the diagonals of a non-square rectangle is "The diagonals bisect a pair of opposite angles"
What is a non-square rectangle?A rectangle is a four-sided flat shape with opposite sides of equal length and opposite sides that are parallel.
A non-square rectangle is simply a rectangle whose opposite sides are not equal in length. In other words, a non-square rectangle is a rectangle that has two pairs of sides, each of which has a different length.
If a rectangle has sides that are equal in length, it is called a square. However, if the sides are not equal, then it is a non-square rectangle. Non-square rectangles are commonly encountered in everyday life, such as in the shape of paper, books, windows, doors, and many other objects.
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