Answers
Answer:
1/3
Step-by-step explanation:
Given points
( 4 , 3 ) = ( x2 , y2)
( - 2 , 1 ) = ( x1 , y1 )
Now
Slope of the line is
m = (y2 - y1) / ( x2 - x1)
= ( 3 - 1 ) / ( 4 + 2 )
= 2 / 6
= 1 /3
Hope it will help :)
Related Questions
Joshua and Amahle are selling boxes of fruit for a Habitat for Humanity fundraiser. Customers can buy small
boxes of fruit and large boxes of fruit. Joshua sold 15 small boxes of fruit and 15 large boxes of fruit for a
total of $390.00. Amahle sold 20 small boxes of fruit and 25 large boxes of fruit for a total of $592.50. Find the cost of one small box of fruit and the cost of one large box of fruit.
Cost of small box: $
Cost of large box: $
Answers
The cost of one small box of fruit and the cost of one large box of fruit is $11.5 and $14.5 respectively.
What is the cost of small and large box?Let
cost of one small box of fruit = x
cost of one large box of fruit = y
15x + 15y = 390
20x + 25y = 592.50
From (1)
x + y = 26
x = 26 - y
Substitute x = 26 - y into (2)
20x + 25y = 592.50
20(26 - y) + 25y = 592.50
520 - 20y + 25y = 592.50
- 20y + 25y = 592.50 - 520
5y = 72.50
divide both sides by 5
y = 72.50/5
y = 14.5
Substitute y = 14.5 into
15x + 15y = 390
15x + 15(14.5) = 390
15x + 217.5 = 390
15x = 390 - 217.5
15x = 172.5
divide both sides by 15
x = 172.5/15
x = 11.5
Therefore, small box cost $11.5 and large box cost $14.5
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Debbie has 340 dimes in three boxes. she says that there are 4 times as many dimes in the first box as in the second and 3 times as many in the third box as in the first how much money in dollars does she have in each box
Answers
The amount of money in the first box is 8 dollars
The amount of money in the second box is 2 dollars
The amount of money in the third box is 24 dollars
Solving equationsFrom the question, we are to determine how much money there are in each box
From the given information,
"Debbie has 340 dimes in three boxes"
Let x represents the number of dimes in the first box
y represent the number of dimes in the second box
and z represent the number of dimes in the third box
Thus,
x + y + z = 340
Also, from the given information
"she says that there are 4 times as many dimes in the first box as in the second"
x = 4y
and
"3 times as many in the third box as in the first"
z = 3x
Substitute the second and third equations into the first equation
x + y + z = 340
4y + y + 3x = 340
4y + y + 3(4y) = 340
4y + y + 12y = 340
17y = 340
y = 340/17
y = 20
Substitute the value of y into the second equation
x = 4y
x = 4(20)
x = 80
Substitute the value of x into the third equation
z = 3x
z = 3(80)
z = 240
Thus,
There are 80 dimes in the first box
80 dimes = 8 dollars
There are 20 dimes in the second box
20 dimes = 2 dollars
There are 240 dimes in the third box
240 dimes = 24 dollars
Hence,
The amount of money in the first box is 8 dollars
The amount of money in the second box is 2 dollars
The amount of money in the third box is 24 dollars
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Can somebody please help me out please my grads are bad
Answers
Triangle B-Right
Triangle C-Obtuse
Triangle D-Acute
PLS HELP , I GOT ONLY ONE RIGHT AND THE REST ARE WRONG. I dont know what to do anymore pls help , its due todayyy plsjnn
Answers
a restaurant menu offers tomato, broccoli, and potato soups. customers order potato soup 50% of the time, broccoli 30% of the time, and tomato 20% of the time the chef designs a simulation to estimate how many of her next 10 customers will order broccoli soup. she labels five index cards p, three cards b, and two cards t. she shuffles the cards and randomly chooses a card from the pile. she records the letter, returns the card, and draws another. she repeats this process for a total of 10 draws. she completes this simulation five times. based on the simulations, how accurate is the chef's estimation regarding broccoli soup orders?
Answers
The simulation suggests that the chef's estimation of 30% broccoli soup orders is reasonable, but actual orders will vary from one set of customers to the next.
The chef's estimation of 30% broccoli soup orders seems reasonable based on the probabilities given, but the actual number of broccoli soup orders will likely vary from one set of 10 customers to the next. To estimate the accuracy of the chef's estimation, she conducts a simulation by shuffling cards representing the soup choices and randomly selecting one for each of the 10 customers. She repeats this process five times.
Based on the simulation results, we can see that the actual number of broccoli soup orders varies quite a bit from the expected value of 1.5. However, this is to be expected due to the random nature of the simulation.
To further estimate the accuracy of the chef's estimation, we could calculate the mean and standard deviation of the results to get a better sense of the distribution of possible outcomes.
Overall, the simulation suggests that the chef's estimation of 30% broccoli soup orders is a reasonable estimate, but the actual number of broccoli soup orders will likely vary from one set of 10 customers to the next.
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Bag A contains 3 red balls and 1 blue ball. Bag B contains 1 red ball and 1 blue ball. You perform the following experiment. First, randomly pick one ball from each bag. Next, place the ball from bag A into bag B and the ball from bag B into bag A. What is the expected number (or mean) of red balls in the bag A
Answers
Answer:
2
Step-by-step explanation:
because the tree you must have more red balls than blue
B. What is each piece measurement if the angle is cut into 9 equal
lengths? Kerf width is 0.125.
Answers
Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.
Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.
What is an Angle?
An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths
To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:
Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.
Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees
Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees
Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
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Find the slope of the line passing through the points , 2−6 and , −9−6
Answers
I will assume that we are trying to find the slope between (2,-6) and (-9,-6)
The slope's equation ⇒ \(\frac{y2-y1}{x2-x1}\)
Let's set the variables:
(x1, y1) --> (2, -6)
(x2, y2) --> (-9, -6)
Now let's plug them in:
\(Slope = \frac{-6--6}{-9-2} =\frac{0}{-11} =0\)
Thus the slope of the line is 0.
Hope that helps!
Find the sum of the following expressions: (10.2x - 3.6) + (-5.7x - 1.5)
Answers
Answer:
0.6
Step-by-step explanation:
-4.5-5.1=0.6
50 POINTS!!!!
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+212x+139
Answers
Hope this helps
The diameter of a planet is about 22,502 mi. The diameter of the planet's moon is about 22% of the diameter of the planet. What percent of the volume of the planet is the volume of its moon?
Answers
Answer:
about 1.1%
Step-by-step explanation:
Given a moon has a diameter of 22% of the diameter its planet, you want the volume of the moon as a percent of the planet's volume.
Scale factorThe ratio of moon diameter to planet diameter is given as 22%. The ratio of moon volume to planet volume will be the cube of this scale factor:
moon volume / planet volume = (0.22)³ ≈ 0.0106 = 1.06%
The volume of the moon is about 1.1% of the volume of the planet.
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The parallel boxplots below display the quiz grades (out of 30) for two of Mrs. Smith’s statistics classes.
2 boxplots. A number line labeled quiz grades goes from 12 to 30. For class 1, there are points at 12, 14, 15, and 16. The whiskers range from 20 to 30, and the box ranges from 23 to 27. A line divides the box at 25. For class 2, the whiskers range from 22 to 30, and the box ranges from 25 to 28. A line divides the box at 26.
Which statement best compares the variability of the quiz scores for the two classes?
The quiz grades for class 1 have more variability than the quiz grades for class 2.
The quiz grades for class 1 have less variability than the quiz grades for class 2.
The quiz grades for class 1 are not as spread out as the quiz grades for class 2.
The quiz grades for class 1 are higher, on average, than the quiz grades for class 2.
Answers
Answer:
C, Class 2 performed better because their median score is higher than the median score for class 1.
Happy Tuesday! Looking for some help with my geometry.
Please only answer if you know the answer, the comment section is right below. Please don't waste my points!
Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.
The image is down below. This is a multi step question and please answer all five. Show work! Thanks!
Answers
Answer:
Q1
cos 59° = x/16x = 16 cos 59°x = 8.24Q2
BC is given 23 mi
Maybe AB is needed
AB = √34² + 23² = 41 (rounded)Q3
BC² = AB² - AC²BC = √(37² - 12²) = 35Q4
Let the angle is x
cos x = 19/20x = arccos (19/20)x = 18.2° (rounded)Q5
See attached
Added point D and segments AD and DC to help with calculation
BC² = BD² + DC² = (AB + AD)² + DC²Find the length of added red segments
AD = AC cos 65° = 14 cos 65° = 5.9DC = AC sin 65° = 14 sin 65° = 12.7Now we can find the value of BC
BC² = (19 + 5.9)² + 12.7²BC = √781.3BC = 28.0 ydAll calculations are rounded
How do you perform the indicated operation (9x⁵+9x⁴+9x³-4) - (5x⁵-6x⁴-2x³+6)
Answers
Let's begin by listing out the information given to us:
\(\begin{gathered} \mleft(9x^{5}+9x^{4}+9x^{3}-4\mright)-(5x^{5}-6x^{4}-2x^{3}+6) \\ \text{Opening the bracket},\text{ we multiply every element in the bracket with -1, we have:} \\ \mleft(9x^{5}+9x^{4}+9x^{3}-4\mright)-5x^{5}+6x^{4}+2x^{3}-6 \\ \text{Put like terms together, we have:} \\ 9x^{5}-5x^{5}+9x^{4}+6x^{4}+9x^{3}+2x^{3}-4-6=4x^5+15x^4+11x^3-10 \\ \Rightarrow4x^5+15x^4+11x^3-10 \end{gathered}\)The mass of the gold ever mined is 1.65 x 108 kilograms.
The mass of all the silver ever mined is 1.411 x 10 kilograms
How much more silver has been mined than gold?
Give your answer in standard form.
Kg
Answers
Answer:
need points
Step-by-step explanation:
blah blah blah blah blah hope u pass
divide the polynomials x^2-10,000/x-100
Answers
Answer:
x+100
Step-by-step explanation:
x^2-10,000/x-100
x^2-10000 is a difference in squares and can be factored.
x^2-10000 = (x+100)(×-100).
(x+100)(x-100)/(x-100)
(x-100) cancel each other.
x+100 remains.
PLEASE I NEED HELP
Use composition to prove that f(x) and g(x) are inverses. Check your work
Answers
F and G are inverse if both of them satisfy the condition h(x)=x. f(g(x))=g(f(x))=x, as we discovered. The argument f(x) and g(x) are inverse functions is thus established.
How do you verify that f x and G x are inverses?If f (x) and g (x) are inverse functions, it can be determined using one of two ways. For more information, see the explanation.
Explanation:
Instance 1
Inverse functions of both functions can be found using the first method.
Example.
Inverse of f (x) = x + 7 is what we're looking for.
We attempt to determine x using the equation y = x + 7.
y = x + 7
Inferring that g (x) is the inverse of f (x) from the fact that x = y 7
Finding g (x inverse )'s is now necessary.
g( x ) = x − 7
y = x − 7
x = y + 7
As a result, we discovered that f (x) is the inverse function of g (x).
f and g are equal if g is inverse of f and vice versa.
The second approach entails locating the compound functions f ( g ( x ) ) and g ( f ( x ) ). In this case, f and g are inverse if they are both h (x ) = x.
Example:
f ( g ( x ) = [ x − 7 ] + 7
G ( x ) placed as x is the expression in brackets.
f ( g ( x ) ) = x − 7 + 7 = x
g (f ( x ) = [ x + 7 ] − 7
f ( x ) inserted as x is the expression in brackets.
g ( f ( x ) ) = x + 7 − 7 = x
The equation f ( g ( x ) ) = g ( f ( x ) ) = x was what we discovered. The argument f (x) and g (x) are inverse functions is thus established.
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-5 1/4 -(-7 1/2) simplify
really fast pleas
Answers
Solve the following equation
3^(2x)-10.3^x+9=0
Answers
Answer:
x≈1.63634604
Step-by-step explanation:
It a lot of work
Determine the regression equation for the data. Round the final values to three significant digits, if necessary.
x 6 8 20 28 36
y 2 4 13 20 20
Answers
Answer:
y = 0.6487 - x
Step-by-step explanation:
Given the data:
x: __ 6 __ 8 ____ 20 ___ 28 ____ 36
y: __ 2__ 4 ____ 13 ____20 ____ 20
The regression equation obtained for the data given using an online regression model calculator is :
Regression equation :
y = 0.6487 - x
With
0.6487 being the intercept
x and y are the independent and dependent variables respectively
The slope of the regression equation = 1
don’t understand the question would be a pleasure if someone were to explain and answer the questions! thank you
Answers
For question b, you divide 312 by 4 which would give you 78 terms. This is because the ending term is 319 and the starting term is 7, but since it didn’t start at 1, you had to subtract 319 from 7 to get 312, and then divide 312 by 4, because each term rises by 4.
For question c, you subtract 533 from 33, which would give you 500 terms. This is because it didn’t start at 0, so you have to subtract from the term it started on, which was 33.
I hope this helped.
A gift card stores data using a black, magnetic stripe on the back of the card. Find the width w of the stripe.
Answers
The width of w is 0.90 cm.
Find the length of the sides:The first step to solve this problem is to find how long is each side. About this, we know one side is 8 1/2 cm or 8.5 but the other side is not exactly given (4cm + w + 2/3 w). To determine the length of this size, use the area formula:
A = side a x side bSide b = A / side aSide b = 46.75 / 8.5Side b 5.5Find the length of w:The total length of the side - known side
5.5 - 4 = 1.5This means w + 2/3 w (0.66 w) is equal to 1.5
Find w:
w + 2/3 w = 1.5w + 0.66w = 1.51.66 w = 1.5w = 1.5/ 1.66w = 0.90 cmLearn more about width in: https://brainly.com/question/3133832
Learning Task 3 Answer the questions that follow. Put a check mark (/) on the space provided. Copy and answer in your math notebook. 1. The units for Volume are always ______squared _____cubed 2. Volume is the amount of space an object takes up. ___True ___False Calculate for the volume of solid. 3. Chona is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 4. A 3-tier cake with the same height of 10 in and radius of 12 in, 8 in, 5 in respectively is to be delivered to a birthday party. How much space does this cake take up? Use 3.14 for π. 5. A Styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.
Answers
3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.
4. The cake takes up approximately 7317 cubic inches of space.
5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.
1. The units for Volume are always cubed.
2. Volume is the amount of space an object takes up. True.
3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:
V = 3.14 * (4.5)^2 * 32
V = 3.14 * 20.25 * 32
V ≈ 2034.72 cubic inches
4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.
Tier 1:
V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches
Tier 2:
V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches
Tier 3:
V3 = 3.14 * (5)^2 * 10 = 785 cubic inches
Total volume:
Total V = V1 + V2 + V3
Total V = 4521.6 + 2010.4 + 785
Total V ≈ 7317 cubic inches
5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:
V = (1/3) * 3.14 * (24)^2 * 12
V = (1/3) * 3.14 * 576 * 12
V ≈ 7234.08 cubic centimeters
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ABC ~ QRS find the missing side length
Answers
The value of m is 15 units
What is similarity?In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling (enlarging or reducing), possibly with additional translation, rotation and reflection.
If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.
Given:
side of ABC,
Ab= 10, AC = 6
and side of QRS
RQ = m, QS = 9
Now, as both triangles are similar then the ratio of their side be also congruent
AB/ RQ = AC/ QS
10 / m = 6 / 9
9 x 10 = 6 x m
90 = 6m
m = 90/6
m = 15
Hence, the value of m is 15 units
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Complete the general form equation of the parabola that passes through (4,101) with vertex at (−3,3) .
f(x)=
Answers
Answer:
f(x) = 2x²+12x+21
Step-by-step explanation:
1. Start with Vertex Form: y = a(x-h)²+k; Vertex (h,k)=(-3,3):
y = a(x + 3)²+3
2. Replace x and y with (x,y)=(4,101) in your step 1 equation:
101 = a(4+3)²+3
3. Simplify the right side and solve for a:
101 = 49a+3
49a = 98
a = 2
4. Replace a with 2 in your step 1 equation:
y = a(x + 3)²+3 ⇒ y = 2(x + 3)²+3
5. Follow Order of Operations to convert step 4 equation to Standard Form: (x + 3)² = x²+6x+9
2(x²+6x+9) = 2x²+12x+18
2x²+12x+18 + 3 = 2x²+12x+21
suppose that you want to describe the relationship between operating cost per hour and number of passenger
Answers
The operating cost per hour of a plane increases with the number of passengers it carries. More passengers require more fuel, maintenance, and staff, which all increase the overall cost of operating the plane per hour.
Additionally, if the plane is larger and designed to carry more passengers, the operating cost per hour may be higher than for smaller planes.The cost of operating an aircraft per hour is directly related to the number of passengers it carries. As the number of passengers increases, so too does the amount of fuel, maintenance, and personnel needed to safely operate the plane, resulting in a higher operating cost per hour. Additionally, larger planes that can carry more passengers also tend to have higher operating costs per hour than smaller planes.
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On a coordinate plane, a point is 4 units to the left and 1 unit down.
For the point shown:
The x-coordinate is
.
The y-coordinate is
.
The point is in quadrant
.
.
Answers
The point has an x-coordinate of -4 and a y-coorindate of -1, and it is on the third quadrant.
In which quadrant is the point?First, remember that for a point (x, y):
if x >0, y > 0, then the point is in quadrant I.if x <0, y > 0, then the point is in quadrant II.if x < 0, y < 0, then the point is in quadrant III.if x >0, y < 0, then the point is in quadrant IV.For the point that is 4 units to the lefft and 1 unit down (of the origin) it is written as:
(-4, -1)
Then we can see that this point is on the quadrant III.
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Complete the table of values for the equation 4x + 2y =64
Answers
The completed table of values for the equation 4x + 2y = 64 is provided .
To complete the table of values for the equation 4x + 2y = 64, we can assign different values to x and solve for y. Let's choose a range of values for x and calculate the corresponding values of y.
Table of Values:
x y
0 32
4 28
8 24
12 20
16 16
20 12
24 8
28 4
32 0
To find the values of y, we substitute each x-value into the equation and solve for y. For example, when x is 0, we have 4(0) + 2y = 64, which simplifies to 2y = 64 and y = 32. Similarly, for x = 4, we have \(4(4) + 2y = 64\), which simplifies to \(16 + 2y = 64\) and\(y = 28.\)
By continuing this process for the remaining values of x, we can complete the table of values for the equation 4\(x + 2y = 64.\)
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What is the complementary angle of CFB
Answers
Step-by-step explanation:
CFB reads as twenty five degrees
complementary angle will add to it to sum 90 degrees = sixty five degrees
angle CFD is sixty five degrees
A recipe uses 3 cups of sugar for every - teaspoon of vanilla. How many teaspoons of vanilla will you
need for 14 cups of sugar?
Pls help plsssss
Answers
Answer:
4.2
Step-by-step explanation:
1/3
=0.3
0.3x14
=4.2
sry if wrong
Answer: I believe five you will have one left over
Step-by-step explanation:
3x5=15 one remainder