Answers
Answer:
First problem: x = 5.7√2 = (57√2)/10
Second problem: x = 10√3
Related Questions
In a coordinate plane, what is the distance between the points (6,−10)
and (6,−7)
?
Answers
The distance between the points (6,−10) and (6,−7) is 3 units
What is the distance between the points (6,−10) and (6,−7)?From the question, we have the following parameters that can be used in our computation:
Points (6,−10) and (6,−7)
Because the points have the same x coordinate, the distance between the points (6,−10) and (6,−7) is the difference between the y coordinates
Using the above as a guide, we have the following:
Distance = -7 - -10
Evaluate
Distance = 3
Hence, the distance between the points (6,−10) and (6,−7) is 3 units
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Jim bought a pair of shoes for $50 and laces for $1. If the sales tax is 7%, how much tax must he pay?
(a) $3.57
(c) $0.36
(b) $350
(d) $35.70
Answers
Jim must pay tax $3.57.
The correct answer is (a) $3.57.
To calculate the sales tax that Jim must pay, we need to find 7% of the total cost of the shoes and laces.
The total cost of the shoes and laces is $50 (shoes) + $1 (laces) = $51.
To calculate the sales tax, we multiply the total cost by the tax rate:
Sales tax = 7% of $51
[tex]= 0.07 \times $51[/tex]
= $3.57.
Therefore, Jim must pay $3.57 in sales tax.
The correct answer is (a) $3.57.
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36 is 15% of what number
Answers
An ant crawled 2/8 yard from an ant mount. On which number line does point A represent the ants position after crawling 2/8 yard?
Answers
The number line on which point A represents the ant's position after crawling 2/8 yard would be a number line labeled in units of yards, with O representing 0 and A representing 1/4 yard to the right of O.
To decide the place of the insect subsequent to creeping 2/8 yard from the insect mount, we really want to address this distance on a number line.
Since 2/8 can be rearranged to 1/4, we can address the distance crept by the subterranean insect as 1/4 of a yard.
To develop a number line to address this distance, we can begin with the point addressing the subterranean insect mount (we should call it point O) and separate a distance of 1/4 of a yard to one side of O. This point, which we can name as point A, addresses the place of the insect subsequent to creeping 2/8 yard (or 1/4 yard) from the insect mount.
The number line would have units of yards, with the distance between every unit separated similarly. The point O would address 0 on the number line, and the point A would address 1/4 yard on the number line.
Thus, the number line on which point An addresses the insect's situation in the wake of creeping 2/8 yard would be a number line named in units of yards, with O addressing 0 and An addressing 1/4 yard to one side of O.
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The complete question is:
An ant crawled 2/8 yard from an ant mount. On which number line does point A represent the ants position after crawling 2/8 yard?
Question 12: The base and height of the rhombus are given. Apply a formula to find the area of the rhombus
Answers
use synthetic division
PLEASE HELP!!
Answers
The quotient using a synthetic method of division is 8x² + 15x + 7/8 and the remainder is 71/64
How to evaluate the quotient using a synthetic methodThe quotient expression is given as
(8x³ + 14x² - 2x + 1) divided by x - 1/8
Using a synthetic method of quotient, we have the following set up
1/8 | 8 14 -2 1
|__________
Bring down the first coefficient, which is 8:
1/8 | 8 14 -2 1
|__________
8
Multiply 8 by 1/8 to get 1, and write it below the next coefficient and repeat the process
1/8 | 8 14 -2 1
|_____1_15/8__7/64_
8 15 7/8 71/64
So, the quotient is 8x² + 15x + 7/8 and the remainder is 71/64
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I need help finding the answer to this question
Answers
Answer: I believe it would be 2/5.
Step-by-step explanation:
Reduction means the fraction is reduced to it's simplest form.
7/7=1
2/5=2/5
15/13=1 2/13
See as the '2/5' does not change in reduction.
So, '2/5' would be your answer.
Hope this helps! :)
Boyd's board shop grt a shipment of 92 new skateboards wheels. Boyd assembles the skateboards and puts 4 of the new wheels on each board. You can use a function to describe the number of new wheels Boyd has left after assembling x skateboards
Answers
The function to describe the number of new wheels Boyd has left is f(x) = 92 - 4x
Calculating the function to describe the number of new wheels Boyd has left
From the question, we have the following parameters that can be used in our computation:
Shipment of 92 new skateboards wheels. 4 of the new wheels on each board.After assembling x skateboards, we have
f(x) = Shipmnet - Rate * x
Substitute the known values in the above equation, so, we have the following representation
f(x) = 92 - 4 * x
Evaluate
f(x) = 92 - 4x
Hence, the function is f(x) = 92 - 4x
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Write the word form of the number in standard decimal form for: three and fifty-four thousandths
Answers
Answer: 350.214
Step-by-step explanation:
18. The volumes of two similar solids are 857.5 mm^3 and 540 mm^3. The surface area of the smaller solid is 108 mm^2. What is the surface area of the larger solid?
Answers
Answer:
64.14
Step-by-step explanation:
Reading the passage I see that you have to multiply then divide
The surface area of the larger solid is, 171.7 mm²
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The volumes of two similar solids are 857.5 mm³ and 540 mm³.
And, The surface area of the smaller solid is 108 mm².l
Now, Let us assume that;
The surface area of the larger solid is, x
Hence, We get;
857.5 / x = 540 / 108
Solve for x as;
857.5 x 108 = 540 x
92,718 = 540x
x = 171.7 mm²
Thus, The surface area of the larger solid is, 171.7 mm²
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Solve for x. Round to the nearest tenth, if necessary.
Answers
Answer:
x=38.6
Step-by-step explanation:
x=b/cos(alpha)
x=30/cos(39⁰)
x=38.602
which fraction is greater than the fraction by the model if the fraction is 3/8
Answers
The calculated value of the fraction that is greater than the fraction by the model is 1/2
Which fraction is greater than the fraction by the modelFrom the question, we have the following parameters that can be used in our computation:
Model fraction = 3/8
A fraction that is greater than the fraction by the model is represented as
Fraction > Model fraction
Substitute the known values in the above equation, so, we have the following representation
Fraction > 3/8
Add 1 to the numerator
So, we have
Fraction = 4/8
Simplify
Fraction = 1/2
Hence, the fraction that is greater than the fraction by the model is 1/2
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Can someone help me please
Answers
The resulting matrix will be in the form :
5 9 -4
0 -14 15
What is a matrix in mathematics ?A matrix is described as a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
To get a 1 in row 1, column 1, we perform the following elementary row operation:
R2 - 2R1 -> R2
This will subtract 2 times the first row from the second row and give us the result:
5 9 -4
0 -14 15
Matrices are useful for describing systems of linear or differential equations, as well as representing a linear application.
In conclusion, in a matrix function, the input and the output values are matrices.
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Marla, Jamie, and Sarah have each led their book club’s monthly meeting. Jamie has led 2/6 of the meetings, and Sarah has led 1/6 of the meetings. What fraction of the meetings has Marla led?
Answers
Step-by-step explanation:
1-2/6-1/6= 3/6
= 1/2
Marla has led 1/2 of the meetings
q
5cm
X =
X
8cm
4cm
cm
Answers
Answer:
2.5 cm
Step-by-step explanation:
The small arrow is 1/2 the side of the large arrow. 1/2 of 5 is 2.5 or 2 1/2.
Helping in the name of Jesus.
please help me with this problem
Answers
Answer:
X = 81
Y = 729
Step-by-step explanation:
Basically I simplified each expression by making both logarithms as one then converting it from logarithm to exponential (I hope you know how to do it, you must).. I then obtained 2 final equations labeled as equation 1 and equation 2. From there on its just Maths but I hope you understand what I did
john want to buy a new bike that costs 337and he already has save 103 estimates to find about how much more john needs to save to buy the bike
Answers
To find the estimated amount John needs to save to buy the bike, we can subtract the amount he already has saved from the cost of the bike:
Estimated amount = Cost of bike - Amount already saved
Estimated amount = $337 - $103
Estimated amount = $234
Therefore, John needs to save an estimated $234 more to buy the bike.
Answer:
John needs to save about $234 more to buy the bike. Note that this is an estimate, as we do not know if John will need to pay any taxes or additional fees when purchasing the bike.
Step-by-step explanation:
To find out how much more John needs to save to buy the bike, we can subtract the amount he has already saved from the cost of the bike:
337 - 103 = 234
Therefore, John needs to save about $234 more to buy the bike. Note that this is an estimate, as we do not know if John will need to pay any taxes or additional fees when purchasing the bike.
One respondent said they watched 10 movies. This seems to be an
symmetrical
This graph is
skewed
to the
left
because the data is stacked on the left with a "tail" going to the right.
Most people watched
[ Select ]
movies
Answers
The graph seems to be a left symmetrical distribution and most people watched action movies
Calculating the skewness of the graphFrom the question, we have the following parameters that can be used in our computation:
The graph (see attachment)
From the graph, we have the following readings and observations
The movie with the highest frequency is Action moviesThe data is stacked on the right with a "tail" going to the left.Using the above as a guide, we have the following conclusions
Most people watched action moviesThe graph is left skewedRead more about graphical representation at
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Write the equation of a line parallel to 2y = x – 3 and that passes through point (-4,3) in slope intercept form.
Answers
Answer:
The equation of the line parallel to 2y = x – 3 and passing through point (-4,3) in slope-intercept form is y = (1/2)x + 5.
Step-by-step explanation:
To find the equation of a line that is parallel to 2y = x – 3, we need to determine the slope of the given line.
2y = x - 3 can be written in slope-intercept form y = (1/2)x - 3/2.
The slope of this line is 1/2.
Since we want a line parallel to this line, the slope of the new line will also be 1/2.
Next, we can use the point-slope form of a line to write the equation of the new line.
Point-slope form: y - y1 = m(x - x1)
where (x1, y1) is the given point and m is the slope of the line.
Substituting the values, we get:
y - 3 = (1/2)(x - (-4))
Simplifying, we get:
y - 3 = (1/2)x + 2
Adding 3 to both sides, we get the final equation in slope-intercept form:
y = (1/2)x + 5
Therefore, the equation of the line parallel to 2y = x – 3 and passing through point (-4,3) in slope-intercept form is y = (1/2)x + 5.
Solve for x. Round to the nearest tenth, if necessary.
Answers
Using the sine ratio, the value of x in the right triangle shown is calculated to the nearest tenth as: 2.6 units.
How to Find the Value of x Using the Sine Ratio?The sine ratio is part of the trigonometry ratios that can be applied to solve a right triangle, and it is written as:
sin ∅ = length of the opposite side / length of the hypotenuse of the right triangle
We are given the following information from the image above:
Reference angle (∅) = 75 degrees
length of the opposite side = x
length of the hypotenuse = 9
Plug in the values:
sin 75 = x/9
9 * sin 75 = x
x = 8.7 [to the nearest tenth]
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The table represents the quadratic functions f(x) and g(x).
x f(x) g(x)
−8 16 4
−4 4 1
0 0 0
4 4 1
8 16 4
What transformation of f(x) will produce g(x)?
g of x equals one fourth times f of x
g of x equals f of the quantity of one fourth times x end quantity
g(x) = 4f(x)
g(x) = f(4x)
Answers
The transformation of f(x) that will produce g(x) is given as follows:
g(x) = f(x)/4.
How to obtain the function g(x)?If we observe at the table, we have that each value of g(x) is one fourth of the value of the function f(x).
Hence the transformation of f(x) that will produce g(x) is given as follows:
g(x) = f(x)/4.
The transformation means that the function g(x) is a vertical compression by a factor of 4 of the function f(x).
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0.6/(-0.9- -0.5 x -0.3)
Answers
The value of the expression is -0.8
What is PEDMAS?PEDMAS can be described as a mathematical acronym that is used for the representation of arithmetic operations on the basis of how they are to be carried out sequentially in an equation.
The alphabet represents different operations. They are;
P represents parenthesesE represents exponentsD represents divisionM represents multiplicationA represents additionS represents subtractionFrom the information given, we have that;
0.6/(-0.9- -0.5 x -0.3)
Multiply the values
0.6/(-0.9 +0. 15)
add the values
0.6/0. 75
Now, divide the values
-0.8
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The trinomial: x² - 5x +11 is not factorable. Explain why this is.
Answers
Answer:
Step-by-step explanation:
I cannot find 2 numbers that multiply to the last term (+11) and add to middle term (-5)
So it can't be factored that way.
After further inspection. i try to plug it into b²-4ac from the quadratic formula.
b=-5
c=11
(-5)²-4(1)(11)
= -19 you can never get a negative under the square root. so this quadratic will produce 2 imaginary solutions. so it is not factorable.
What type of transformation is modeled?
Answers
The type of transformation modeled in the graph is Reflection across y-axis.
How many different coordinate transformations are there?The three different kinds of coordinate transformation are listed below. The motor's three-phase current and voltage are transformed by the Clark transformation from their original natural coordinates to two-phase static coordinates determined with reference to the stator.
What is the transformational rule?Because the domain or range values of the function f(x) have changed, rules of transformations assist in changing f(x) to a new function f'(x). With the use of these transformational rules, the function can be stretched or compressed as well as transformed vertically or horizontally.
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The height y(in feet) of a ball thrown by a child isy=−114x2+2x+3
where x is the horizontal distance in feet from the point at which the ball is thrown.
(a) How high is the ball when it leaves the child's hand? (Hint: Find y
when x=0)
Your answer is y=____
(b) What is the maximum height of the ball? _____
(c) How far from the child does the ball strike the ground?_____
Answers
y = -114(0)^2 + 2(0) + 3
y = 3
So the ball is 3 feet high when it leaves the child's hand.
(b) The maximum height of the ball occurs at the vertex of the parabola. We can find the x-coordinate of the vertex using the formula:
x = -b/2a
where a = -114 and b = 2. Substituting these values, we get:
x = -2/(2*(-114)) = 0.0088
We can find the maximum height by substituting this value of x into the equation:
y = -114(0.0088)^2 + 2(0.0088) + 3
y ≈ 3.036
So the maximum height of the ball is approximately 3.036 feet.
(c) To find how far from the child the ball strikes the ground, we need to find the value of x when y = 0. We can solve the equation for x:
-114x^2 + 2x + 3 = 0
Using the quadratic formula, we get:
x = (-2 ± sqrt(2^2 - 4*(-114)*3))/(2*(-114))
x = (-2 ± sqrt(9252))/(-228)
We can ignore the negative root since the ball is moving in the positive x-direction. Simplifying the expression for the positive root, we get:
x = (-2 + sqrt(9252))/(-228) ≈ 0.232
So the ball strikes the ground approximately 0.232 feet away from the child.
N Heracio's Computer Time Shopping Research 10% Videos 15% Homework 20% Games 20% Social dia 25% Heracio used the computer a total of 40 hours last week. How many more hours did Heracio use the computer to do homework than shop online?
Answers
Heracio used the computer 4 more hours to do homework than shop online.
How to solve the proportionTo find out how many more hours Heracio used the computer to do homework than shop online, we first need to calculate the number of hours he spent on each activity.
Let's start by calculating the number of hours Heracio spent on each activity:
Shopping: 10% of 40 hours = 4 hours
Videos: 15% of 40 hours = 6 hours
Homework: 20% of 40 hours = 8 hours
Games: 20% of 40 hours = 8 hours
Social media: 25% of 40 hours = 10 hours
Now, to find out how many more hours Heracio used the computer to do homework than shop online, we need to subtract the number of hours spent shopping from the number of hours spent on homework:
8 hours (homework) - 4 hours (shopping) = 4 hours
Therefore, Heracio used the computer 4 more hours to do homework than shop online.
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Question is done below. Just multiple sqrts inside of each other.
Answers
The solution to the prompt of multiple square roots is 5.
How to solve for the sum of the multiple square rootsTo obtain the sum of the multiple square roots, we need to first find the square of 30, sum it up in four places and find the square root of the last figure we obtained.
So this gives
√30 =5.47
5.47 + 5.47 + 5.47 + 5.47
= 21.88
=4.67 approximately 5
So. option 5 is the solution.
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HELP ASAP!!!
(Appropriate Measures MC)
A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
10, 10, 10, 10, 15,15,15,19, 20, 20, 20, 25, 25, 25, 30, 30, 55, 55
A graph titled Donations to Charity in Dollars. The x-axis is labeled 10 to 19, 20 to 29, 30 to 39, 40 to 49, and 50 to 59. The y-axis is labeled Frequency. There is a shaded bar up to 8 above 10 to 19, up to 6 above 20 to 29, up to 2 above 30 to 39, and up to 2 above 50 to 59. There is no shaded bar above 40 to 49.
Which measure of variability should the charity use to accurately represent the data? Explain your answer.
The IQR of 10 is the most accurate to use, since the data is skewed.
The range of 10 is the most accurate to use, since the data is skewed.
The IQR of 45 is the most accurate to use to show that they need more money.
The range of 45 is the most accurate to use to show that they have plenty of money.
Answers
A measure of variability which the charity should use to accurately represent the data include the following: D. The range of 45 is the most accurate to use to show that they have plenty of money.
What is a box-and-whisker plot?In Mathematics and Statistics, a box plot is a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
Based on the information provided about the data set, the five-number summary for the given data set include the following:
Minimum (Min) = 10.
First quartile (Q₁) = 13.75.
Median (Med) = 20.
Third quartile (Q₃) = 26.25.
Maximum (Max) = 55.
For the IQR, we have:
IQR = Third quartile (Q₃) - First quartile (Q₁)
IQR = 26.25 - 13.75
IQR = 12.50
For the range, we have;
Range = maximum - minimum
Range = 55 - 10
Range = 45.
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Find the value of x.
Answers
The value of x in the circle is 4.2
Calculating the value of x in the circleFrom the question, we have the following parameters that can be used in our computation:
The circle
Using the intersecting chords equation, we have
(5x - 8) * 4 = (x + 1) * 10
When solved for x, we have
x = 4.2
Hence. the value of x is 4.2
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Which statement concerning the equation x² - 1 = x is true?
1. Its discriminant is 0, so it has no solution.
2. Its discriminant is 5, so it has two real solutions.
3. Its discriminant is 0, so it has one real solution.
4. Its discriminant is -3, so it has two complex solutions.
Answers
The discriminant of a quadratic equation of the form ax² + bx + c = 0 is given by the expression b² - 4ac. In this case, the equation can be rewritten as x² - x - 1 = 0, so a = 1, b = -1, and c = -1. Therefore, the discriminant is (-1)² - 4(1)(-1) = 5.
Since the discriminant is positive, the equation has two real solutions. However, this statement does not apply to the given equation because it is not in standard quadratic form.
To solve the equation x² - 1 = x, we can rearrange it as x² - x - 1 = 0 and then use the quadratic formula to find its solutions. The quadratic formula is x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in the values a = 1, b = -1, and c = -1, we get x = (1 ± sqrt(5)) / 2. Therefore, the equation has two real solutions, which are x = (1 + sqrt(5)) / 2 and x = (1 - sqrt(5)) / 2.
Answer:
The equation x² - 1 = x can be rewritten as x² - x - 1 = 0. We can use the quadratic formula to find the solutions:
x = (-b ± sqrt(b² - 4ac)) / 2a
In this case, a = 1, b = -1, and c = -1. So:
x = (1 ± sqrt(1 - 4(1)(-1))) / 2(1)
x = (1 ± sqrt(5)) / 2
Therefore, the equation has two real solutions, and the discriminant is positive. The answer is 2. Its discriminant is 5, so it has two real solutions.