Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
You know:
m = 3
b = -4 So substitute/plug it into the equation
y = mx + b
y = 3x + (-4)
y = 3x - 4 Your answer is a
The equation representing a line with a slope of 3 and a y-intercept of -4 is y = 3x - 4. Hence, the correct option is (a).
The student's question pertains to finding the equation of a line with a given slope and y-intercept. In the slope-intercept form of a linear equation, which is y = mx + b, the m represents the slope, and the b represents the y-intercept. Therefore, for a line with a slope of 3 and a y-intercept of -4, the corresponding equation would be y = 3x - 4.
So, the correct answer is:
y = 3x - 4
This is because it directly shows a slope (m) of 3 and a y-intercept (b) of -4, which matches the line properties the question is asking for.
Gavin and Jim win some money and share it in the ratio 5:2. Gavin gets £39 more than Jim. How much did they get altogether?
Final answer:
To find the total amount of money Gavin and Jim got all together, we need to solve the equation 5x = x + £39, where x represents the amount Jim received. The total amount is £58.50.
Explanation:
To find the total amount of money that Gavin and Jim got altogether, we need to first determine the amounts they each received. Let's say the amount Jim received is represented as 'x'. According to the ratio of 5:2, Gavin received 5 times the amount Jim received, so Gavin received 5x.
We're given that Gavin gets £39 more than Jim, so we can set up the equation: 5x = x + £39. Simplifying this equation, we get 4x = £39. Dividing both sides by 4, we find that x = £9.75.
Now, we can calculate the total amount they got altogether by adding the amounts Jim and Gavin received: £9.75 + 5(£9.75) = £9.75 + £48.75 = £58.50.
castor collects only baseball and football cards. He has 40 baseball cards and 10 football cards. Which decimal best show the part of his entire card collection represented by his baseball cards
Answer: His baseball cards can be represented as 0.8 of the entire collection
Step-by-step explanation: Castor has 40 baseball cards and 10 football cards. Therefore his total number of cards is given as 40 + 10 which is 50.
The fraction of his cards which are baseball cards only is calculated as
Baseball cards = 40/50
Baseball cards = 4/5
Converting 4/5 to a decimal (which can equally be done with a calculator) gives you 0.8
Hence, the part of his entire card collection that can be represented by baseball cards is 0.8
You randomly choose one paper clip from a jar. In the jar there are 6 green, 3 white, 4 red, 2 blue, and 5 yellow paper clips.
Find the probability of the following:
Choosing a green paper clip Plz help for test
Answer:
3/10
Step-by-step explanation:
Total paper clip =6+3+4+2+5
=20
Probability of green = number of green/total
= 6/20
leaving in it's lowest term
probability of green=3/20
Identifying Right Triangles and Not Right Triangles
Determine whether the side lengths of roof beams form a right triangle by placing them in the appropriate column.
5. 50.5
1)Right Triangles
2)Not Right Triangles
•6.5, 3.2.7.8
•12, 13,4
•12, 13.20
•0.75, 1.25, 1
•18, 80, 82
Answer:
The answer is in the image attached :)
Step-by-step explanation:
Divide.
38/733
Enter your answer in the boxes.
Answer: 0.051
Step-by-step explanation: Am very big brain, My IQ is above your comprehension.
Answer:
the answer is 0.051
Step-by-step explanation:
i did it
Which is a perfect square?
.121
140
168
195
A perfect square is a number formed by multiplying two equal integers by themselves. The number that is a perfect square is 121.
What is a perfect square?A perfect square is a number formed by multiplying two equal integers by themselves. The number 9 is a perfect square, for example, since it can be written as a product of two equal integers: 3 x 3 = 9
A number is a perfect square if another number that when divided the number the quotient is the number which divided another. Therefore, the number that is a perfect square is 121.
121 ÷ 11 = 11
Hence, the number that is a perfect square is 121.
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Which concept is used to prove that the opposite sides of a parallelogram are congruent?
A.congruent rectangles
B.similar rectangles
C.congruent triangles
D.similar triangles
Answer:
c
Step-by-step explanation:
Find the surface area of the triangular prism (above) using its net (below).
Answer:
96 square units
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
My answer:
The length of the large rectangle is: 5 The width of the large rectangle is: 7=> Area of the large rectangle = length × width = 7*5 = 35 square units
The length of the middle rectangle is: 7The width of the middle rectangle is: 4=> Area of the middle rectangle = length × width = 7*4 = 28 square units
The length of the small rectangle is: 7The width of the small rectangle is: 3=> Area of the small rectangle = length × width = 7*3 = 21 square units
Area of top and the bottom triangles =2* [tex]\frac{1}{2}bh[/tex] [tex]= 4*3 =12[/tex]
Total surface area = 35 + 28 + 21 + 12 = 96 square units
Answer:
It is 136
Step-by-step explanation:
A unicycle wheel has a diameter of 25 inches. How many inches will the unicycle travel in 4 revolutions?
Use T = 3.14 and round your answer to the nearest
hundredth of an inch
Answer:
The distance travelled was 314 inches.
Step-by-step explanation:
In order to calculate the distance that the unicycle will travel in 4 revolutions we first need to know the length of it's wheel, this is calculated by using the formula bellow:
length = 2*pi*r
Where r is the radius of the wheel that is equal to r = d/2
length = 2*pi*(d/2) = 2*3.14*(25/2) = 3.14*25 = 78.5 inches
If the wheel made 4 complete revolutions then the distance travelled was 4 times the length of it's wheels. We have:
distance = 4*length = 4*78.5 = 314 inches
The distance travelled was 314 inches.
Please help!!
What are the lateral area and the surface area of the cone shown below? Round the answers to the nearest tenth. The figure is not drawn to scale.
A. LA = 615.8 ft2; SA = 1,803.3 ft2
B. LA = 615.8 ft2; SA = 3,166.7 ft2
C. LA = 1,187.5 ft2; SA = 1,803.3 ft2
D. LA = 1,187.5 ft2; SA = 3,166.7 ft2
Given:
The radius of the cone = 14 ft
The slant height of the cone = 27 ft
To find the lateral surface area and the total surface area of the given cone.
Formula
The lateral surface area of the cone is
[tex]LSA = \pi rl[/tex] and
The total surface area of the cone is
[tex]TSA = \pi r^{2} + \pi r l[/tex]
where,
r be the radius and
l be the slant height of the cone.
Now
Taking r = 14 and l = 27 we get
[tex]LSA = \pi (14)(27)[/tex] sq ft
or, [tex]LSA = 1187.5[/tex] sq ft
Again,
[tex]TSA = \pi(14^2)+\pi (14)(27)[/tex] sq ft
or,[tex]TSA = 1803.3[/tex] sq ft
Hence,
The lateral surface area of the cone is 1187.5 sq ft and the total surface area of the cone is 1803.3 sq ft. Option C.
Find the volume of the cone shown. Round your answer to the nearest hundredths.
Answer:
25.13 cm³
Step-by-step explanation:
Volume of a cone or pyramid is:
V = ⅓ A h
where A is the area of the base and h is the height.
V = ⅓ π r² h
V = ⅓ π (2 cm)² (6 cm)
V = 8π cm³
V ≈ 25.13 cm³
URGENT easy math multiple choice
Answer:
C) x = -1
Step-by-step explanation:
I graphed the equation below on the graph.
If this answer is correct, please make me Brainliest!
Answer:
C
Step-by-step explanation:
Rectangle ABCD has four right angles.
1. What is the sum of its angle measures?
Answer:
Step-by-step explanation:
Step 1: 1 angle 90
4 angle -> 360
i can’t figure this out!! please helppp
Answer:
The third answer
Step-by-step explanation:
(side note: You probably need to use a calculator that can calculate pi)
The formula to find the area of a circle is pi r squared.
In this case, pi times r squared is 19.63495....... continued
This is probably going to be rounded
so... 19.63
For all of the circles, this is multiplied by 4.
This is 78.52
The area of the square is 100 cm since 10 times 10 is 100
You take 100 cm and then subtract it by 78.54
Voila! now you have 21.46
It costs $5 to get into the fair and then costs $3 for every ride I go on.
I spent a total of $26. Write an equation that could be used to show
the number rides, r, that I went on.
Final answer:
To find the number of rides that you went on at the fair given the total cost, $26, and the cost per ride, $3, you can use the equation $26 = $5 + $3r. Solving for r, you find that you went on 7 rides.
Explanation:
To write an equation that shows the number of rides, r, that you went on, we need to consider the total cost you spent and the cost per ride.
The cost to enter the fair is $5, and for every ride you go on, it costs $3. So, the equation would be:
Total Cost = Cost to Enter + Cost per Ride x Number of Rides
In this case, you spent a total of $26. Plugging in the values, we get:
$26 = $5 + $3r
Now, we can solve for r by isolating the variable:
$26 - $5 = $3r
$21 = $3r
To find the number of rides, divide both sides by $3:
r = $21/$3
r = 7
Therefore, you went on 7 rides at the fair.
A man wants to beautify his front yard by planting four 20−foot-tall palm trees alongside his house. Each tree will need a cylindrical hole that is 34 inches in diameter and 28 inches deep to accommodate the roots. His trash hauler will only take away the excess dirt if it is in rectangular bags that are 2 feet by 1.5 feet by four feet. However, the man can only fill the bags one third of the way or they will be too heavy for him to move. How many bags will he have to buy so he can put all the dirt out for pickup?
He have to buy 4 bags to put all the dirt at once.
Step-by-step explanation:
Radius = 17 inches
Height = 28 inches
Volume of dirt from the cylindrical hole = π(r x r) h
= π(17 x 17) 28
= (3.14) (289) 28
= 25408.88 cubic inches
1 foot = 12 inches
Volume of dirt the bag can hold= 24 x 18 x 48
= 20736 cubic inches of dirt
The man fills only one third of the bag.
The volume of dirt the man fills = (1/3)20736
= 6912 cubic inches
Total bags = 25408.88/6912
= 3.69
= appx. 4 bags
He have to buy 4 bags to put all the dirt at once.
Given the function y = x^2- 4x, what are the zeros of the polynomial function
Answer:
x = 0 and x = 4
Step-by-step explanation:
The two terms on the right have x as a common factor, so the function can be factored as ...
y = x(x -4)
The zeros are the values of x that make y = 0, so we want the solutions to ...
0 = x(x -4)
The Zero Product Rule tells us that a product will be zero if and only if at least one factor is zero. Here, the factors are x and (x-4). They are zero when ...
x = 0 or x = 4 . . . . . the zeros of the function
Can anyone help me with this? I will mark you as brainliest
Answer:
6×6×6×6×6×6×6=279936
6×6×6×6×6=7776
279936÷7776= 36
36 is the answer but u could express it as: (6²)....Six squared
Step-by-step explanation:
What is the y-intercept?
Answer:
The y-intercept is 0
Step-by-step explanation:
The height of a cone is twice the radius of its base.
What expression represents the volume of the cone, in
cubic units?
A. 2/3 pi x 3
B. 4/3 pi x 2
C. 2 pi x 3
D. 4 pi x 3
Option A) 2/3 πx³ is the expression that represents the volume of cone in cubic units.
Step-by-step explanation:
The general formula for the volume of the cone is given by,
⇒ 1/3 πx²h
where,
x is the radius of the base of cone.h is the height of the cone.It is given that,
Height of the cone is twice the radius of its base.
Therefore, the volume of the cone is represented as
⇒ Substitute h=2x in the volume of the cone volume.
⇒ 1/3 πx²(2x)
⇒ 2/3 πx³ cubic units.
Hence, option A) 2/3 πx³ is the expression that represents the volume of cone in cubic units.
A is the correct answer, i just took the test
The distance, y, in miles, traveled by a car in a certain amount of time, x, in hours, is shown in the graph below:
Which of the following best describes the motion of the car shown?
It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours.
It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.
It travels for 1 hour, then stops for 2 hours, and finally travels again for 5 hours.
It travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hours.
Answer:
It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours.
Step-by-step explanation:
Distance changes over the first hour of travel, but then doesn't change for one hour, and then it continues on for the next three hours
Answer:
ITS THE FIRST ONE
Step-by-step explanation:
28. Box A weighs 212.04 kilograms. Box B
weighs 212 kilograms.
Which statement is true?
A. The boxes weigh the same amount.
B. Box B weighs 0.10 of a kilogram more
than Box A.
Box A weighs 0.15 of a kilogram more
than Box B.
D. Box B weighs 0.21 of a kilogram more
than Box A.
Box A, weighing 212.04 kilograms, is 0.04 kilograms heavier than Box B, which weighs 212 kilograms. The difference in weight is due to differing volume and density.
Explanation:The question is asking us to compare the weight of two boxes, Box A and Box B. Box A weighs 212.04 kilograms and Box B weighs 212 kilograms. To compare the weights, we subtract the weight of Box B from that of Box A: 212.04 kg - 212 kg = 0.04 kg. Therefore, the correct statement is: Box A weighs 0.04 of a kilogram more than Box B.
This question measures your understanding of decimal numbers and weight comparison in the metric system, specifically kilograms. In other words, 1 kilogram of one substance is equal in weight to 1 kilogram of another substance. It's the volume and density that might differ between them.
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What is the growth factor of the exponential function
represented by the table?
0.2
0.1
5
20
PLEASE HELP
Answer:
the answer is 5
Step-by-step explanation:
6. Sam got a job at Yogurt land. She makes $18 per hour as a store manager. On Friday she worked 6 hours, on Sunday
she worked 8 hours and on Wednesday she worked 5 hours. When she picked up her paycheck her mom reminded her
that she owed her $85 for a pair of shoes she bought her. How much money did she have left after paying back her
mom (before taxes)?
steps ?
what is the point slope form of a line th as t has a slope of 3 and passes through point (1, 4)
Answer:
y-4=3(x-1)
Step-by-step explanation:
2/3x = -12 how do you solve this
Solution of the equation is x = -18
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given equation,
(2/3)x = -12
Multiplying with 3 on both sides,
3×(2/3)x = -12×3
2x = -36
Dividing by 2 on both sides
2x/2 = -36/2
x = -18
Hence, x = -18 is the solution of the equation.
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Cathy has 39 coins, which are either nickels or quarters. If she has $4.95, how many nickel coinsdoes she have? _____ nickels
Answer: 24 nickels
Step-by-step explanation:
1. n= nickels
q=quarters
2. n+q=39
.05n+.25q=4.95
3. n=39-q (Replace n with what n is equal to in the other equation) .05(39-q)+.25q=4.95
4. Solve for q: (.05x39)+(.05x-q)+.25q=4.95
5. 1.95-.05q+.25q=4.95 (Combine like terms)
6. 1.95+(-.05q+.25q)=4.95
7. 1.95+0.2q=4.95
8. Move 1.95 to the other side of equal sign by subtracting it from both sides. 0.2q=3
3/0.2= 15... so quarters=15
So if you look back at the other equation it says n+q=39. So, 39-15=24. There is 24 nickels.
please help me with this problem
Based on the pattern in the table, what is the value of a?
Powers of 2
Value
2 Superscript negative 1
One-half
2 Superscript negative 2
One-fourth
2 Superscript negative 3
one-eighth
2 Superscript negative 4
StartFraction 1 Over 16 EndFraction
2 Superscript negative 5
StartFraction 1 Over 32 EndFraction
2 Superscript negative 6
a
Answer: StartFraction 1 Over 64 EndFraction
Step-by-step explanation: Based on the pattern, the fraction keeps increasing. It keeps multiply itself by 2.
(I could be wrong, hopefully I'm Not)
The required value of a is 1/64.
Table is given y = [tex]2^x[/tex]
X = -1 -2 -3 -4 -5 -6
Y = 1/2 1/4 1/8 1/16 1/32 a
Value of a tube determine.
Geometric progression is sequence of series whose ratio with adjacent values remains same.
For a
y = [tex]2^x[/tex]
put 6 in above equation
a = 2^-6
a = 1/2^6
a = 1/64
Thus, The required value of a is 1/64.
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What can you tell about the mean of each
distribution?
The difference between the mean cost to treat dogs at A New Leash on Life
Animal Clinic and the mean cost to treat cats at A New Leash on Life Animal
Clinic is about 10 times the MAD This is a large difference.
The difference between the mean cost to treat dogs at A New Leash on Life
Animal Clinic and the mean cost to treat cats at A New Leash on Life Animal
inic is about 19 times the MAD. This is a large difference
The difference between the mean cost to treat dogs at A New Leash on Life
Animal Clinic and the mean cost to treat cats at A New Leash on Life Animal
Clinic is about 10 times the MAD. This is a moderate difference
The difference between the mean cost to treat dogs at A New Leash on Life
Animal Clinic and the mean cost to treat cats at A New Leash on Life Animal
Clinic is about 19 times the MAD. This is a moderate difference
Answer:
The difference between the mean cost to treat dogs at A New Leash on Life
Animal Clinic and the mean cost to treat cats at A New Leash on Life Animal
Clinic is about 10 times the MAD This is a large difference.
Step-by-step explanation:
I GOT THIS RIGHT! THIS IS THE ANSWER
Answer:
The difference between the mean cost to treat dogs at A New Leash on Life
Animal Clinic and the mean cost to treat cats at A New Leash on Life Animal
Clinic is about 10 times the MAD This is a large difference
Step-by-step explanation: