Answer:
x= y-10a/10
Step-by-step explanation:
Multiply 10 by x+a using the distributive property. 10x+10a=y
Subtract 10a from both sides. 10x=y-10a
Divide both sides by 10. 10x/10 = y-10a/10.
Dividing by 10 undoes the multiplication by 10. x=y-10a/10
Divide y-10a by 10.
I hope this helps and I'm sorry if I got this wrong. I tried my best. Thanks for the question :)
TRUE OR FALSE: A translation maps each point to its image along a vector called the translation vector
Answer:
True
Step-by-step explanation:
:) Hope this helps ! x
True, A translation maps each point to its image along a vector called the translation vector.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
A translation maps each point to its image along a vector called the translation vector
Example:
A = (2, 4) translated vertically up with 2 units.
The image of A = (2, 4 + 2) = (2, 6).
The translation vector is the 2 units.
Thus,
A translation maps each point to its image along a vector called the translation vector
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Find the value of x. Round your answer to the nearest tenth.
The measure of side length x in the right triangle is approximately 13.0.
What is the numerical value of x?The figure in the image is a right triangle, having one of interior angle at 90 degrees.
Let;
Angle θ = 30 degree
Adjacent to angle θ = x
Hypotenuse = 15
To solve for the missing side length x, we use the trigonometric ratio.
Note that: cosine = adjacent / hypotenuse
Hence:
cosθ = adjacent / hypotenuse
Plug in the given values and solve for x.
cos( 30° ) = x / 15
Cross multiplying, we get:
x = cos( 30° ) × 15
x = 13.0
Therefore, the value of x is 13.0.
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How was President Dwight D. Eisenhower's presidency shaped by the Cold War?
Answer:
My theory is that the cold war was so cold that it turned him to ice, so in honor of him the soldiers turned him into an ice sculpture, which is how he was shaped by the cold war
Step-by-step explanation:
here's the real reason, lol:
I honestly don't know
Can you solve this graph problem?
a) what is the difference in temperatures between 7 am to 5 pm
b) which part of the day was the temperature rising the fastest a, b, c, d, or e?
Answers:
a) The difference in temperature is 25 degrees Fahrenheit. b) The temperature was rising fastest during interval 'a'=========================================================
Explanations:
a) We subtract the y coordinates of the left and right endpoints. We get 65-40 = 25b) The fastest rising temperature will visually correspond to the steepest part of the curve. That would be region 'a'. After this interval, region b is still increasing, but not as much as the previous interval (since it's not as steep here). Then it gets less steep for region c, and d sort of flattens out as well. So during the morning hours it appears the temperature is going up the fastest.help me quickly please!!! what is the area of the composite figure if line AB is congruent to line BC which is congruent to line CD which is congruent to line DA which is congruent to DN?
(2pi+28)mm^2
(2pi+32)mm^2
(2pi+40)mm^2
(2pi+48)mm^2
======================================================
Work Shown:
Segments AB, BC, CD, DA, and DN are all the same length (4 units)
The semicircle has area of
A = (1/2)*pi*(radius)^2
A = 0.5*pi*2^2
A = 2pi
The square has area of
B = (side length)^2
B = 4^2
B = 16
The trapezoid has area of
C = (height)*(base1+base2)/2
C = (DN)*(CD+MK)/2
C = (4)*(4+8)/2
C = 24
Add up the results of A, B and C to get the total area
A+B+C = 2pi+16+24 = 2pi+40
The total area is 2pi+40 square mm
The area of the figure will be 2π + 40 mm². Then the correct option is C.
What is the area?The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.
The figure is made by semicircle, square, and trapezium. Then the area is given as,
A = Area of a semicircle + Area of square + Area of trapezium
A = (π / 2) x r² + (AB)² + 1/2 x (CD + MK) x DN
A = (π / 2) x 2² + (2 x 2)² + 1/2 x (4 + 8) x 4
A = 2π + 16 + 24
A = 2π + 40 mm²
The area of the figure will be 2π + 40 mm². Then the correct option is C.
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Can someone help me with part A? I've been stuck on it for 30 minutes now and nobody has been able to help me with it so far :(
Answer:
The discriminant is negative.
Step-by-step explanation:
Since the parabola does not hit the x-axis, there are no x-intercepts to the graph or real roots of the equation. This means the square root portion of the quadratic formula failed to produce any real solutions, because you ended up trying to take the square root of a negative number.
When this happens, the equation will have two imaginary/complex solutions.
Part A. Jasmine wanted to cut some ribbon into 4 pieces, each 3 2/5 feet long. How big a piece of ribbon did she need to start with?
Part B. When she went to the fabric store, they only had enough ribbon for her to make 2 1/2 pieces that were as long as she wanted. How much ribbon did the fabric store have?
Answer:
pa answer din po please!!
cos A = -3/4
find the exact value of tan A
the quotient of w and 10 is eaqual to 7
Answer:
w = 70
Step-by-step explanation:
w/10 = 7
w = 70
Find the GCF and LCM for 24 & 30.
GCF-
LCM-
Answer:
The GCF of 24 & 30 would be 6. The LCM of 24 & 30 would be 120.
Step-by-step explanation:
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what is 2+2? I have this in my state test, im only in 8th grade and need help
Answer:
Step-by-step explanation:
2+2=4
Answer: It took me seven hours on this! I hope this is put to good use
1+1=2
1+2=3
2+2=4
Hope u do well!
Which step is the most efficient way to find the solution of p+5>−13?
Answer:
Subtract 5 from both sides
Step-by-step explanation:
Because you are rearanging for P as you want the solution for the inequality so you would chose this as it requires the least steps and is not trial and error like one of the other options
Three charges (-25 nC, 79.1nC, and −55.9nC) are placed at three of the four corners of a square with sides of length 22.2 cm. What must be the value of the electric potential (in V) at the empty comer if the positive charge is placed in the opposite comer?
Given that three charges (-25 nC, 79.1nC, and −55.9nC) are placed at three of the four corners of a square with sides of length 22.2 cm. We need to determine the value of the electric potential (in V) at the empty comer if the positive charge is placed in the opposite corner.
The formula for the electric potential at a point in space is given by;V = k [ (q1 / r1) + (q2 / r2) + (q3 / r3) + ….. ]where;k = Coulomb's constant (8.99 × 10^9 Nm²/C²)q1, q2, q3,…. are the charges at the cornersr1, r2, r3,…. are the distances from the corner to the point whose potential is being calculated Now we can calculate the electric potential at the empty corner as follows;The three charges can be represented as shown below:Charges at corners of a square
The distance from any corner to the opposite corner (where the positive charge is placed) is given by d = √[ (22.2 cm)² + (22.2 cm)² ] = 31.4 cmTherefore, the electric potential at the empty corner is given by;V = k [ (q1 / r1) + (q2 / r2) + (q3 / r3) ]Here, q1 = -25 nC, q2 = -55.9 nC, q3 = 79.1 nC, r1 = r2 = r3 = d = 31.4 cm = 0.314 mPlugging in the values we get;V = 8.99 × 10^9 [ (-25 × 10^-9 / 0.314) + (-55.9 × 10^-9 / 0.314) + (79.1 × 10^-9 / 0.314) ]= 8.99 × 10^9 [ -0.0795 - 0.1783 + 0.252 ]= 8.99 × 10^9 × 0.0052= 46.8 VTherefore, the value of the electric potential at the empty comer if the positive charge is placed in the opposite comer is 46.8 V.
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If P(A) = 0.7 P(B) = 0.6 and A and B are independent event, find P(A and B)
Answer:
0.42
Step-by-step explanation:
multiply .6 by .7
consider the number 9,953.is this number divisible by 2,3,4,5,9 or 10? provide justification for each number.
We have to say if 9,953 is divisible by 2, 3, 4, 5, 9 or 10 and justify each one:
• Is no divisible by 2 becuase the number is odd.
,• Is not divisible by 3 becuase the sum of the digits is 26 that is not divisible by 3.
,• Is not divisible by 4 becuase the last two digits form a number that is not divisible by 4.
,• Is not divisible by 5 because the last digit is not 0 or 5.
,• Is not divisible 9 becuase the sum of the digits is 26 that is not divisible by 9.
,• Is not divisible by 10 because the last digit is not 0,
Simplify: 5x^4 (4x+5)=
Answer:
20x⁵ + 20x⁴
Step-by-step explanation:
Use distributive rule: a*(b +c) =a*b + a*c
5x⁴(4x + 5) = 5x⁴ * 4x + 5x⁴ * 5
= 20x⁵ + 20x⁴
Hint: 5x⁴ * 4x multiply the coefficient and then the variables. For multiplying variable, if they two have same base, then add the powers
5*4 * x⁴ * x = 20x⁵
Jason paid $88.50 in tax on a table that cost $1,180. What was the tax rate?
If Jason paid $88.50 in tax on a table that cost $1,180, the tax rate (sales tax) is 7.5%.
What is the tax rate?The tax rate is the percentage that is paid in tax.
For sales tax (consumption tax), the tax rate is fixed, making it a proportional tax rate system.
For income tax, the tax rate follows a progressive tax rate system. The percentage of tax increases as the taxable income increases.
Some tax rates are said to be retrogressive as the rates reduce with increased taxable income.
The amount of sales tax on the table = $88.50
The cost of the table = $1,180
Tax rate = 7.5% ($88.50/$1,180 x 100)
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If your car is traveling at a constant rate of speed the distance is proportional to the time if a car travels 165 miles in 2.5 hours write a linear equation in two variables that represents the number of miles y the car can travel in X hours
Answer:
y = 66x
Step-by-step explanation:
A proportional relationship is described by the linear equation ...
y = kx
where k is the "constant of proportionality."
The value of k can be found from the given values of y (miles) and x (hours).
k = y/x . . . . . divide both sides of the proportional relation by x
k = (165 miles)/(2.5 hours) = 66 mile/hour
Your linear equation is ...
y = 66x
Each histogram represents a set of data with a median of 29.5. Which set of data most likely has a mean that is closest to 29.5?
A graph shows the horizontal axis numbered 9 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 33 then a downward trend from 33 to 45.
A graph shows the horizontal axis numbered 15 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 30 then a downward trend from 30 to 45.
A graph shows the horizontal axis numbered 12 to 56. The vertical axis is numbered 2 to 8. The graph shows an upward trend from 1 to 32 then a downward trend from 32 to 56.
A graph shows the horizontal axis numbered 15 to 54. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 24, a downward trend from 24 to 27, an upward trend from 27 to 30, a downward trend from 30 to 39, an upward trend from 39 to 45, a downward trend from 45 to 48, then an upward trend from 48 to 51.
To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.
Looking at the histograms described:
The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.
The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.
The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.
The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.
Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.
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in Windsor area of New South Wales, flood flow needs to be drained from a small locality at a rate of 120 m³/s in uniform flow using an open channel (n=0.018) Given the bottom slope as 0.0013 calculate the dimensions of the best cross section if the shape of the channel is (a) circular of diameter D and (b) trapezoidal of bottom width b Write your solution on A4 page, scan the solution and upload the scanned pdf file in vUWS. Do not email the solution to the lecturer tutor
The bottom width and depth of the trapezoidal channel are 2.25 m and 1.67 m, respectively.
In Windsor area of New South Wales, flood flow needs to be drained from a small locality at a rate of 120 m³/s in uniform flow using an open channel (n=0.018) Given the bottom slope as 0.0013 calculate the dimensions of the best cross section if the shape of the channel is (a) circular of diameter D and (b) trapezoidal of bottom width b.
(a) Circular channel:
For a circular channel, the best hydraulic section can be achieved by using the formula,
Q = (1 / n) x (A / P)2 / 3 x S0.5
where Q is the discharge; A is the area of the flow section; P is the wetted perimeter, S is the slope of the channel; and n is the roughness coefficient of the channel.
Assuming that the channel is flowing at full capacity, the depth of flow can be calculated using the following formula,
Q = (1 / n) x (π / 4) x D2 / 2 x D1 / 2 x S0.5
where D is the diameter of the channel; S is the slope of the channel; and n is the roughness coefficient of the channel.
Solving for D,
D = (8Q / πnD12S0.5)
For the given values of Q, n, and S,
D = (8 × 120 / π × 0.018 × 0.00132 × 120.5)
D = 1.98 m
Therefore, the diameter of the circular channel is 1.98 m.
(b) Trapezoidal channel:
For a trapezoidal channel, the best hydraulic section can be achieved by using the formula,
Q = (1 / n) x (A / P)2 / 3 x S0.5
where Q is the discharge; A is the area of the flow section; P is the wetted perimeter, S is the slope of the channel; and n is the roughness coefficient of the channel.
Assuming that the channel is flowing at full capacity, the depth of flow can be calculated using the following formula,
Q = (1 / n) x ((b + y) / 2) y / ((b / 2)2 + y2)0.5 x ((b / 2)2 + y2)0.5 x S0.5
where b is the bottom width of the channel; y is the depth of flow in the channel; S is the slope of the channel; and n is the roughness coefficient of the channel.
Rewriting the equation,
120 = (1 / 0.018) x ((b + y) / 2) y / ((b / 2)2 + y2)0.5 x ((b / 2)2 + y2)0.5 x (0.0013)0.5
Simplifying the equation,
658.5366 = (b + y) y / ((b / 2)2 + y2)0.5 x ((b / 2)2 + y2)0.5
Squaring both sides,
433407.09 = (b + y)2 y2 / ((b / 2)2 + y2) x ((b / 2)2 + y2)
Multiplying both sides by ((b / 2)2 + y2),
433407.09 ((b / 2)2 + y2) = (b + y)2 y2 x ((b / 2)2 + y2)
Simplifying the equation,
216703.545 = b2 y3 / 4 + b y4 / 2 + y5 / 4
Solving the above equation by using trial and error, the bottom width and depth of the trapezoidal channel are 2.25 m and 1.67 m, respectively.
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a scientist is studying bacteria whose cell population doubles at constant intervals, at which times each cell in the population divides simultaneously. four hours from now, immediately after the population doubles, the scientist will destroy the entire sample. how many cells will the population contain when the bacteria is destroyed?
Since the cell population doubles at constant intervals, we can use the formula for exponential growth: N = N0 * 2^(t/k), where N0 is the initial population, t is the time elapsed, and k is the doubling time.
Since we are told that the population will double four hours from now, and since we are not given the initial population or the doubling time, we cannot determine the final population when the bacteria will be destroyed.
As the division two hours ago and the division just now, the population quadrupled that is two doubling periods, so each doubling period is about an hour.
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Can a 6 8 10 make a right triangle?
Answer:
yes
Step-by-step explanation:
using the converse of Pythagoras' identity.
If the square on the longest side is equal to the sum of the squares on the other two sides, then the triangle is right.
longest side = 10 , then 10² = 100
6² + 8² = 36 + 64 = 100
then 6, 8, 10 make a right triangle
What is the area of the figure?
Answer:
I thik it is B
Step-by-step explanation:
Charlotte is making 6 pounds of trail mix using raisins and 3 different types of nuts.
The table shows the amounts of different types of nuts that she has.
Type of Nut Amount (in pounds)
almonds
7
8
cashews
1
1
2
peanuts
2
3
8
pecans
1
1
4
walnuts
1
3
4
Charlotte uses all of the almonds, cashews, and peanuts that she has.
Which of the following explains how she can find the exact amount of raisins she needs?
A.
Round
7
8
pound to 1 pound,
1
1
2
pounds to 2 pounds, and
2
3
8
pounds to 2 pounds.
Then add the rounded amounds and subtract that total from 6 pounds.
B.
Add
7
8
pound,
1
1
2
pounds,
2
3
8
pounds,
1
1
4
pounds, and
1
3
4
pounds.
Then subtract 6 pounds from that total.
C.
Subtract
7
8
pound from 6 pounds, subtract
1
1
2
pounds from 6 pounds, and subtract
2
3
8
pounds from 6 pounds. Then add all three differences.
D.
Add
7
8
pound,
1
1
2
pounds, and
2
3
8
pounds.
Then subtract that total from 6 pounds.
Which number line represents the solution set for the inequality -1/2x≥4
The inequality -1/2x ≥ 4 on a number line by placing an open circle at -8 and shading the region to the left of -8. The number line is
<-----o==============>
-8
To represent the solution set for the inequality -1/2x ≥ 4 on a number line, we first need to find the values of x that satisfy the inequality. To do this, we can start by multiplying both sides of the inequality by -2, which will change the direction of the inequality:
-1/2x ≥ 4
-2(-1/2x) ≤ 4(-2)
x ≤ -8
This tells us that any value of x that is less than or equal to -8 will satisfy the inequality. We can represent this set of values on a number line by shading the region to the left of -8, since any value less than or equal to -8 will also be less than or equal to -8.
Therefore, we can represent the solution set for the inequality -1/2x ≥ 4 on a number line by placing an open circle at -8 (since the inequality is not inclusive of -8) and shading the region to the left of -8. The resulting number line is shown below:
<-----o==============>
-8
The open circle at -8 indicates that x cannot be equal to -8, since the inequality is not inclusive of -8. The shaded region to the left of -8 indicates that any value of x that is less than or equal to -8 will satisfy the inequality.
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what is the x-coordinate of the red point
Answer:
The answer:
The choose (C) –3
Which of the following is an example of the associative property of multiplicaition?
1. 7 • (3 + 5) = 21 + 35
2. 7 • (3 • 5) = 7 • (5 • 3)
3. 7 • (3 • 5) = (7 • 3) • 5
4. 7 • ⅐ = 1
The example of the associative property of multiplication is 7 • (3 • 5) = (7 • 3) • 5
How to determine the example of the associative property of multiplication?The associative property of multiplication states that
(a * b) * c = a * (b * c)
Using the above equation as a guide, we have the following equation
7 • (3 • 5) = (7 • 3) • 5
The above equation is the option (3) of the associative property of multiplication
Hence, the example of the associative property of multiplication is 7 • (3 • 5) = (7 • 3) • 5
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The average age of a vehicle registered in the United States is 8 years, or 96 months. Assume the standard deviation is 16 months. If a random sample of 36 vehicles is selected, find the probability that the mean of their age is between 90 and 100 months.
The probability that their average age is between 90 & 100 months is 0.245.
We must determine z for each number to determine the likelihood that the group's mean age is between 90 & 100 months.
Z = (x – mean) ÷ standard deviation
Let x is the average age of a vehicle
Z1 = (90 – 96) ÷ 16 = -0.375
Z2 = (100 – 96) ÷ 16 = 0.25
The area under the curve is then determined using the z table.
Z1 area equals 0.354
Z2 area of 0.599
To calculate the likelihood that the group's mean lifespan is between 90 & 100 months, apply the following formula:
0.599 – 0.354 = 0.245
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Find the equation of the parallel to the line 3x-2y=5 and passing through the midpoint of the line segment joining the points (-4,2) and (2,4).
Given:
The equation of parallel line is:
\(3x-2y=5\)
The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).
To find:
The equation of required line.
Solution:
Midpoint of line segment joining the points (-4,2) and (2,4) is:
\(Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)
\(Midpoint=\left(\dfrac{-4+2}{2},\dfrac{2+4}{2}\right)\)
\(Midpoint=\left(\dfrac{-2}{2},\dfrac{6}{2}\right)\)
\(Midpoint=\left(-1,3\right)\)
It means the required line passes through the point (-1,3).
The slope of line \(Ax+By=C\) is:
\(m=\dfrac{-A}{B}\)
The given equation is:
\(3x-2y=5\)
Here, A=3 and B=-2. So, the slope of the line is:
\(m=\dfrac{-3}{-2}\)
\(m=1.5\)
Slope of parallel lines are same. So, the slope of the required line is 1.5.
The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:
\(y-y_1=m(x-x_1)\)
\(y-3=1.5(x-(-1))\)
\(y-3=1.5(x+1)\)
\(y-3=1.5x+1.5\)
Adding 3 on both sides, we get
\(y=1.5x+1.5+3\)
\(y=1.5x+4.5\)
Therefore, the equation of the required line is \(y=1.5x+4.5\).
Plz help I’m really stressed and I keep getting the answer wrong
Answer:
Step 1
I hope this helps!