Answer:
-11/24
Step-by-step explanation:
i used a fraction calculator, but basically you’ll want to find the least common denominator (lcd) for both of the fractions and then work with them like that. the lcd is 24, so multiply 5/12 by 2/2 and 7/8 by 3/3 and you’ll have 10/24 minus 21/24. then all you gotta do now, is subtract the numerator and you’ll have -11/24
the volume of a cylinder is 196x in. 3 and the hight of the cylinder is 1 in. what is the radius of the cylinder
The radius of the cylinder is 7. 9 in
How to determine the radiusFirst, we need to know the formula for volume of a cylinder
The formula for calculating the volume of a cylinder is expressed as;
V = πr²h
Such that the parameters of the formula are expressed as;
V is the volume of the cylinderr is the radius of the cylinder h is the height of the cylinderFrom the information given, we have that;
Substitute the values
196 = 3.14 × 1 × r²
Divide both sides by the values
r² = 62. 42
Find the square root of both sides
r = 7. 9 in
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What is the equation of the line that passes through the point (-6,8) and has a slope of -5/3? Please show step by step solution,
Answer:
The equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.
Step-by-step explanation:
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
We have the point (-6,8) and a slope of -5/3.
Step 1: Use the point-slope formula to find the equation of the line in point-slope form.
y - y1 = m(x - x1)
where x1 and y1 are the coordinates of the given point.
y - 8 = (-5/3)(x - (-6))
Simplify this equation:
y - 8 = (-5/3)(x + 6)
Step 2: Convert the equation to slope-intercept form.
Distribute (-5/3) to get:
y - 8 = (-5/3)x - 10
Add 8 to both sides:
y = (-5/3)x - 2
This is the equation of the line in slope-intercept form. Therefore, the equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.
In the figure below, points X, Z, Q, R, and S lie in plane P. Points T and Y do not lie in plane P.
For each part below, fill in the blanks to write a true statement.
The blank spaces in the statements area. S, R, and Q are distinct points that are collinear: b. TX and QS are distinct lines that intersect. c. Point Y and line QS are coplanar. d. Another name for plane P is: plane QSY.
What are Colinear Points?Points that lie on the same straight line are collinear points.
If two lines are lie on the same plane, they are referred to as coplanar lines.
(a.) S, R, and Q are on a straight line. Therefore S, R, and Q are distinct points that are collinear.
b. TX and QS are distinct lines that intersect.
c. Point Y and line QS are on the same plane. Therefore:
Point Y and line QS are coplanar.
d. Another name for plane P is: plane QSY.
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let f(x) = |x|/x evaluate f(-11)
A car accelerates from 25 km/hr in 30 seconds what is the acceleration
The figure is cut into 15 equal pieces. Shade 2/5 of the figure
Answer: Shade 6 pieces
Step-by-step explanation:
Because 2/5 of 15 is 6
find the midpoint of the segment with endpoints with coordinates at (-2,3) and (6,3)
Chelsea earned $85
while babysitting. She
spent $42 on gas for her
car and $17 on dinner
with a friend. How much
money does she have
now?
Answer:
$85-$42-$17=$26
Step-by-step explanation:
I guess I was help full for u
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For each function, find f(−x) and −f(x) and then determine whether it is even, odd, or neither. Justify your answer. f(x)=2x^2-7x+10
The function f(x) = 2x² - 7x + 10 is an odd function.
f(-x) = 2(-x)² - 7(-x) + 10
= 2x² + 7x + 10
-f(x) = -[2x²- 7x + 10]
= -2x² + 7x - 10
To determine whether the function f(x) = 2x² - 7x + 10 is even, odd, or neither, we compare f(-x) and -f(x).
1. f(-x) = 2x² + 7x + 10
2. -f(x) = -2x² + 7x - 10
To determine if f(-x) = -f(x) (even function), we substitute -x for x in f(x) and check if the equation holds.
1. f(-x) = 2x² + 7x + 10
= f(x) (not equal to -f(x))
Since f(-x) is not equal to -f(x), the function is not even.
Next, to determine if f(-x) = -f(x) (odd function), we substitute -x for x in f(x) and check if the equation holds.
2. -f(x) = -2x² + 7x - 10
= -(2x² - 7x + 10)
= -(f(x))
Since -f(x) is equal to -(f(x)), the function is odd.
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Write the ratio 1 1/3 to 3 1/9 as a simplified fraction
Answer:
First ratio:4/3
Second:28/9
Houa is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $1.25 per mile driven. How much would a taxi ride cost if Houa is riding for 6 miles? How much would a taxi ride cost that is mm miles long?
Answer:
hint for the first part
Step-by-step explanation:
3.50+(1.25*6)=
Selling Price = $ 504 and Gain % = 12%
Answer:
Step-by-step explanation:
sp = 504
gain = 12%
in this case
sp =100%+12%=504
112%=504
1%=504/112 =4.5
100%=450
so cost =$450
Hope im correct, if i am im glad to be of service.
Is this the correct answer?
Find the total cost for the month in dollars. The federal tax is 3%. Use the figure below.
Monthly phone service plan is $52.00. Four lines and 3,487 minutes are used.
Answer:
The total cost per month is $190.76 to the nearest cent.
Step-by-step explanation:
From the given table, the monthly service plan costing $52.00 is:
Monthly Service Plan = $52.00Number of included minutes per month = 2,000 minutesCost per additional line per month = $21.99Overage per minute rate = $0.06The base calling plan includes two lines.
Therefore, for 4 lines, we will need to pay for 2 additional lines per month:
⇒ $21.99 × 2 = $43.98 per month
If 3,487 minutes are used per month, then the overage of minutes is:
⇒ 3487 - 2000 = 1487 minutes per month
As the overage rate is $0.06 per minute, then the cost of the additional minutes is:
⇒ 1487 × $0.06 = $89.22 per month
Therefore, the total cost per month before tax is:
⇒ $52.00 + $43.98 + $89.22 = $185.20
To apply the federal tax of 3%, multiply the total cost by 1.03:
⇒ $185.20 × 1.03 = $190.756 = $190.76 (nearest cent)
Therefore, the total cost per month is $190.76 to the nearest cent.
Malcolm trains on his kayak every weekend. He paddles upstream (against current) for 3 ½ hours and then returns downstream (with current) in 2hrs 6 minutes. If the river flows at 3km/ h, find:
* The paddling speed in still water
* The distance he paddles upstream.
The probability she pulls out a purple piece of candy would be 0.22.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is Sam's fathers collection.
We can write the equations for upstream and downstream as -
x - y = 7/2
x + y = 21/10
Solving the equations graphically -
{x} = 2.8
{y} = 0.7
In still water, the speed would be -
S = 3 - 0.7
S = 2.3 Km/h
Distance peddled upstream -
D = 2.8 x 3.5 = 9.8 Km
Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.
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What are the points of the image of the line in Q4 after the dilation?
Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)
How is this so ?To rotate a point 90 degrees clockwise about a given point,we can follow these steps -
Translate the coordinates of the given point so that the center of rotation is at the origin. In this case,we subtract the coordinates of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).
Perform the rotation by swapping the x and y coordinates and changing the sign of the new x coordinate. In this case,we swap the x and y coordinates of (-5, 3) to get (3, -5).
Translate the coordinates back to their original position by adding the coordinates of the center (0,1) to the result from step 2. In this case, we add (0,1) to (3, -5) to get (3, -4).
Therefore, the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).
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If a, b, and c are positive integers such that 1/a + 1/b = 1/c, what is the value of c?
(1) b ≤ 4
(2) ab ≤ 15
The answer to the question is that the value of c cannot be determined from the information given.
We can solve the question using the information given in the two statements.
First, let's rewrite the equation 1/a + 1/b = 1/c in terms of ab and c:
ab/c = ab
c = ab
Now, let's use the information given in statement (1) and (2) to find the value of c.
From statement (1), we know that b ≤ 4. This means that the possible values for b are 1, 2, 3, and 4.
From statement (2), we know that ab ≤ 15. This means that the possible values for a are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, and 15.
Using these possible values for a and b, we can find the possible values for c:
If a = 1 and b = 1, then c = 1 * 1 = 1
If a = 1 and b = 2, then c = 1 * 2 = 2
If a = 1 and b = 3, then c = 1 * 3 = 3
If a = 1 and b = 4, then c = 1 * 4 = 4
If a = 2 and b = 1, then c = 2 * 1 = 2
If a = 2 and b = 2, then c = 2 * 2 = 4
If a = 2 and b = 3, then c = 2 * 3 = 6
If a = 2 and b = 4, then c = 2 * 4 = 8
If a = 3 and b = 1, then c = 3 * 1 = 3
If a = 3 and b = 2, then c = 3 * 2 = 6
If a = 3 and b = 3, then c = 3 * 3 = 9
If a = 3 and b = 4, then c = 3 * 4 = 12
If a = 4 and b = 1, then c = 4 * 1 = 4
If a = 4 and b = 2, then c = 4 * 2 = 8
If a = 4 and b = 3, then c = 4 * 3 = 12
If a = 4 and b = 4, then c = 4 * 4 = 16
Since the question asks for the value of c, we can see that there are multiple possible values for c, depending on the values of a and b. Therefore, the answer to the question is that the value of c cannot be determined from the information given.
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determine if the statement is true of false. a fourth degree polynomial has exactly two relative minima and two relative maxima
Answer: True
Step-by-step explanation:
Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%. Select all the true statements. The proportion that represents the down payment is 20100=125,000 20 100 = 125 , 000 x . The down payment is $25,000. The proportion that represents the down payment is 20100=125,000 20 100 = x 125 , 000 . The down payment is $50,000. The down payment is 15 1 5 of the cost of the house.
The correct options are -
The proportion that represents the down payment is : 20/100 x 125000.The down payment is $25,000What is down payment?When something is bought on credit, an initial payment is made in the form of a down payment.
Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.
We can calculate the amount she is putting in down payment as -
{x} = 20% of 125000
{x} = 20/100 x 125000
{x} = 20 x 1250
{x} = 25000
Therefore, the correct options are -
The proportion that represents the down payment is : 20/100 x 125000.The down payment is $25,000To solve more questions on functions & equations, visit the link-
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On a field trip, the ratio of adults to students is 1:8. Which of the following statements about the field trip must be true? (A) A total of 9 people went on the field trip. B. The total number of people on the trip is a multiple of 8. C. There were 7 more students than adults on the field trip. D. There were 8 times as many students as adults on the field trip.
Answer:
B
Step-by-step explanation:
The correct answer is B. The total number of people on the field trip must be a multiple of 9 (1 adult and 8 students).
A is not true because if there were only 9 people, there could not be both an adult and 8 students, and the ratio would not be 1:8.
C is not necessarily true. It is possible that there were more adults than students on the field trip, or that the ratio was not an exact 1:8.
D is not true because if there were 8 times as many students as adults, the ratio would be 1:64, not 1:8
You are installing a fire department connection that uses one 4 threaded pipe. For perfect thread engagement (make-up), and for the connection to be snug and tight to the wall, the threads of
the pipe need to be sticking out at least. past the finished wall surface.
Refer to the appendix for thread engagement dimensions.
As a result, the threads of the 4" pipe should protrude at least 6 inches equation beyond the final wall surface in order to achieve proper thread engagement and a tight attachment to the wall.
What is equation?In mathematics, an equation is a statement that states the equality of two expressions. An equation consists of two sides separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" states that the sentence "2x Plus 3" equals the value "9". The goal of solving equations is to find the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complex, linear or nonlinear, and contain one or more parts. For example, in the equation "x2 + 2x - 3 = 0," the variable x is raised to the second power. Lines are used in many areas of mathematics, including algebra, calculus, and geometry.
The threads of the 4" pipe should protrude over the finished wall surface by at least the thread engagement distance provided in the appendix to guarantee good thread engagement and a snug, tight attachment to the wall. The thread engagement distance is normally 1.5 times the pipe diameter, thus the thread engagement distance for a 4" pipe would be 6 inches.
As a result, the threads of the 4" pipe should protrude at least 6 inches beyond the final wall surface in order to achieve proper thread engagement and a tight attachment to the wall.
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Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
Which set of parametric equations over the interval 0 ≤ t ≤ 1 defines a line segment with initial point (–5, 3) and terminal point (1, –6)?
Answer:
x(t) = –5 + 6t; y(t) = 3 – 9t
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I got the Edg Test right
Round 56.28 to the nearest ten
A.50
B 56
C 56.3
D 60
E none of these
Isn’t the answer D 60
Answer:d
Step-by-step explanation:
Hi can someone reply me I am not sure how to factorise (2x+3)(4x-1)-(3+2x)(x-5)
I hope this is a real answer
Stem and leaf plots
And box
Pls help I have no idea what this is
Answer:
61 is the mode.
Step-by-step explanation:
Remember, the mode is the most repeated number in the list. 6|1 is repeated the most times (twice).
Answer:
61 is the correct answer
Let X be an exponential random variable with parameter λ=2 . Find the values of the following. Use 'e' for the base of the natural logarithm (e.g., enter e^(-3) for e−3 ).
a) E[(3X+1)2]=
b) P(1≤X≤2)=
Answer:
a
\(E[(3X+1)^2]= 8.5 \)
b
\(P(1 < X < 2)=0.1170 \)
Step-by-step explanation:
From the question we are told that
The parameter of X is \(\lambda = 2\)
Generally the expected value of X is
\(E(X) = \frac{1}{\lambda }\)
\(E(X) = \frac{1}{2}\)
=> \(E(X) = 0.50 \)
Generally we have that
\(E(X^2) = E(X)^2 + E(X)^2\)
=> \(E(X^2) = [\frac{1}{2}] ^2 + [\frac{1}{2} ]^2\)
=> \(E(X^2) = 0.5 \)
Generally
\(E[(3X+1)^2]= E(9x^2 + 1 + 6x)\)
=> \(E[(3X+1)^2]= 9E[X^2] + 1 + 6 E[X])\)
=> \(E[(3X+1)^2]= 9* 0.5 + 1 + 6 * 0.5 \)
=> \(E[(3X+1)^2]= 8.5 \)
Generally
\(P(1 < X < 2)= P(X < 2) - P(X < 1)\)
Here \(P(X < 2 ) = e^{- 2 * \lambda }\)
=> \(P(X < 2 ) = e^{- 2 * 2 }\)
=> \(P(X < 2 ) = e^{- 4}\)
and
\(P(X < 1 ) = e^{- 1 * \lambda }\)
\(P(X < 1 ) = e^{- 1 * 2 }\)
\(P(X < 1 ) = e^{-2 }\)
So
\(P(1 < X < 2)= e^{-2 } - e^{- 4} \)
\(P(1 < X < 2)=0.1170 \)
Zev read 15% of his 56-page book. Kelly read 12% of her 64-page book. Marneisha read 14% of his 68-page book Aleisha read 10% of her 72-page book. what the grastest
Answer:
Marneisha with 9.52 pages.
Step-by-step explanation:
Zev: 56×0.15 = 8.4
Kelly: 64×0.12 = 7.68
Marneisha: 68×0.14 - 9.52
Aleisha: 72×0.10 = 7.2
what is y= -5/4x+6 on a graph
I tried mathaway but it's not helping
Answer:
6.oz and all other things are going on
Step-by-step explanation:
its been a few weeks and I've just got back to
My teacher gave me an extra credit assignment with 25 minutes left of class. It is extra credit, not a timed assessment. need done asap