Answers
The y-intercept is 1/3.
This is because this is written in slope intercept, which is defined as:
y = mx + b
With the slope being m and the y intercept being b. 1/3 is being added to -2/9x, and therefore by the rules of the formula it's the y intercept.
As a quick background on a y intercept, it's where the line crosses the y axis. It can be positive, or negative, and the coordinates never have an x value.
Hope this helps!
Related Questions
What is the difference from 6z to z6
Answers
Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths. Length (cm) Width (cm) 6 9 36 48 15
Answers
a table should be shown like this
candy|bags
2 | 1
A semi circle has a radius of 5cm. What is the area of the semi circle?
Use 3.14 for pi.
A.) 15.70
B.) 31.40
C.) 39.25
D.) 78.50
Answers
We know that the formula for area of a circle is:
A = pi × r^2
A semi circle is half of a circle, which means that its formula would be have of a circles as well.
Formula for area of a semi circle:
A = (pi × r^2) / 2
We'll use the same formula for a semi circle, only we'll divide it by 2 since it's a half circle.
A = (pi × r^2) / 2
A = (3.14 × r^2) / 2
A = 78.5 / 2
A = 39.25
ANSWER:
The area of the semi circle is C.) 39.25 centimetres squared.
to the nearest tenth of an inch how long is the foit of a person who wears a size 10 1/2
Answers
Hope this helps,
♥A.W.E.S.W.A.N.♥
Using a standard shoe size chart, the foot length for a size 10 1/2 shoe is approximately 11.1 inches when rounded to the nearest tenth of an inch.
To determine the length of the foot for a person who wears a size 10 1/2 shoe to the nearest tenth of an inch, we reference a standard shoe size chart. Shoe sizes are an approximation of the foot length they are intended to fit, with different increments representing each half-size increase. For a size 10 shoe, the approximate length is given as around 10.9 to 11 inches. Considering half sizes add approximately 1/6 of an inch, a size 10 1/2 would be approximately 11.1 inches long when measured accurately. However, shoe size to foot length can vary slightly by manufacturer, so this is a general estimate.
A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and bleacher tickets sold for 40 cents each, how many of the bleacher tickets were sold?
Answers
.. g + b = 5716 . . . . . . . . . total number of tickets sold
.. 65g +40b = 341690 . . value of tickets sold
Using the first equation
.. g = 5716 -b
Sustituting into the second equation
.. 65(5716 -b) +40b = 341690
.. -25b + 371540 = 341690 . . . . . collect terms
.. -25b = -29850 . . . . . . . . . . . . . . subtract 371540
.. b = 1194 . . . . . . . . . . . . . . . . . . . . divide by -25
1194 bleacher tickets were sold.
Which Value of t makes the following true -16+t<-32
Answers
the equation of a quadratic function represented by the graph is y=a(x-3)^2-1. what is the value of a?
Answers
a = [tex] \frac{y}{(x-3)^2} [/tex] + [tex] \frac{1}{(x-3)^2} [/tex]
anna has a 10 foot long ladder that she is going to rest against a vertical wall along the bottom of a window still that is 8.5 feet above the ground. The safety code recommends that the angle the ladder makes with the ground be no greater than 65 degrees. Will the ladder be safe resting on the window still? Draw a diagram and show work to support your answer
Answers
We know the height of the ladder (10 feet) and also the height off the ground of the windowsill (8.5 feet). That second side is opposite the angle a. So, when we consider angle a we know the length of the side opposite and of the hypotenuse.
Recall the sin of an angle can be found by using (opposite/hypotenuse).
So we have: sin a = 8.5 / 10. That is, sin a = .85
We are looking for the angle whose sin is .85 and can find this using the inverse sin function.
[tex] sin^{-1}.85=a [/tex]
a is approximately 58.211669 degrees which is less than the 65 degrees and so safe.
Just to be on the safe side, I remind you that your calculator must be in degrees (not radians) to do this problem.
the total amount of fiber (in grams) in a package containing x apples and y oranges is given by the equation 5x+10y=110
1 find and interpret the y-intercept.
2find and interpret the x-intercept.
3how many grams of fiber does an orange contain?
4how many grams of fiber does an apple contain?
5is it possible for the package to contain 15 apples? explain.
Answers
Similarly, the x intercept is the value of x when y = 0.
To find each of these, we separate the equation as shown in the attached image. After solving for x and y, we find that the y intercept is 11 and the x intercept is 22. (The image will show the process of finding each).
For part e, we substitute 15 in for x. So instead of putting x in the equation, we will put 15 and solve for y. After solving, we see that y will equal 3.5.
However, since we cannot have a "half apple" in the package, we see that it is not possible to have 15 apples in the package.
The following circle graph represents how the Townsends spend their monthly income. What is the central angle measure of the section that represents "Savings"?
18°
36°
5°
9°
Answers
The circle graph represents how the Townsends spend their monthly income.
Total central angle of the circle is 360°
Townsend saves 5% of the monthly budget.
Therefore, the central angle measure of the section that represents "Savings" is 5% of the total central angle
= 5% of 360°
= 18°
The central angle measure of the section that represents "Savings" is 18°
Hope this helps ..!!
Thank you :)
Answer:
18˚
Step-by-step explanation:
The total amout is 360˚ and this small ooprtion is 18˚.
There are 160 people in a grade. The ratio of boys to girls is 3 to 5. Which proportion can you use to find the number x of boys?
Answers
To find the number of boys, we can use the proportion 3/8 = x/160. Solving the equation, we find that the number of boys is 60.
Explanation:To find the number of boys, we can use the proportion:
3/8 = x/160
We know that the ratio of boys to girls is 3 to 5, which is equivalent to 3/8. Cross-multiplying the proportion, we get x = (3/8) * 160. Solving the equation, we find that the number of boys is 60.
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A square with an area of 4 in² is dilated by a factor of 7. What is the area of the dilated square?
Answers
s² = a
s² = 4
When a square is dilated by a factor of 7, the length of side is also dilated by the factor of 7. For an instance, s₁ represents the dilated side. The equation will be
s₁ = 7s
Find the new area, the new area is represented by a₁
a₁ = s₁²
Because s₁ is equal to 7s, substitute s₁ with 7s
a₁ = (7s)²
a₁ = 7² s²
a₁ = 49s²
The value of s² is 4, substitute s² with 4
a₁ = 49(4)
a₁ = 196
The new area is 196 in²
A monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high by 11 meters long. The longest side of the triangular monument measures 61 meters.
Answers
Answer:65
Step-by-step explanation:
60 + 5 is 65
while on vacation, Erika bought 6 postcards, which was twice as many postcards as Nathan bought. Samantha bought 4 times as many postcards as Nathan. how many postcards did Samantha buy?
Answers
⇒ Erika bought 6 postcards
E = 6
⇒ Erika bought twice as many postcards as Nathan bought
E = 2N
2N = E
⇒ Samantha bought 4 times as many postcards as Nathan
S = 4N
Before we find the number of Samantha's postcards, we need to find the number of Nathan's postcard. Substitute E with 6 in the second equation.
2N = E
2N = 6
N = 6/2
N = 3
Nathan bought 3 postcards
Find the number of Samantha's postcard
Substitute N with the number of Nathan's postcards, which is 3, in the third equation
S = 4N
S = 4 × 3
S = 12
Samantha bought 12 postcards
The number of postcards Samantha bought is 12.
What is an Equation?An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.
Erika bought 6 postcards
Let the number of postcards Erika bought is given by x
Erika bought twice as many postcards as Nathan bought
Let the number of postcards Nathan bought is given by y
x = 2y
Samantha bought 4 times as many postcards as Nathan
Let the number of postcards Samantha bought is given by z
z = 4y
The value of x = 6, so
6 = 2y
y = 3
z = 4y
z = 12
Postcards bought by Samantha is 12.
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Angles 1 and 5 are____
A.) alternate exterior
B.) alternate interior
C.) supplementary
D.) right
Answers
Hope this helps :)
Answer: Angles 1 and 5 are supplementary.
Step-by-step explanation:
id did this and ...
Determine whether the given triangles are similar. Justify your answer. If they are similar write a similarity statement. How do you do this?
Answers
Similar shapes may or may not have equal lengths
Triangles ABC and PRQ are similar by SSS
The corresponding sides on both triangles are:
AB = 8, and PQ = 6
AC = 12, and PR = 9
BC = 12, and QR = 9
Divide the corresponding sides, to determine the scale factor (k)
[tex]k = \frac{6}{8} = \frac{9}{12} = \frac{9}{12}[/tex]
Evaluate the quotients
[tex]k = 0.75 = 0.75 = 0.75[/tex]
Given that the scale factors are equal.
Hence, both triangles are similar by SSS
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Which is a correct classification for the triangle?
A. Acute triangle
B. Obtuse triangle
C. Equiangular triangle
D. Right angle
Answers
That angle is greater than 90o
The triangle is obtuse
B<<<<===== answer
how do you solve u/6 > (with an underline underlining it) 3
plz help
its due tomorrow
Answers
u>=6 × 3
u>= 18
6.The base of a triangle is 21 inches and the height is 12 inches. Which of these expressions correctly shows how to calculate the area of a triangle?
Answers
B. 12 + 21 = 33
C. 21 + 21 = 33
D. 1 + 2 = 33
If it is multiple choice. Like more than one. Then it's A and B. If it's not. Then It's A. I hope I helped you. I don't think I was any help.
A certain recipe calls for 2 1/3 cups of sugar, how much sugar is needed to make 1/3 of the recipe?
Answers
2 1/3 x 1/3
=7/9 cups
2 1/3 = 7/3
7/3 / 3/1
7/3 x 1/3
7 x 1 = 7
3 x 3 = 9
7/9
The answer is 7/9 cups
Please find the function rule and explain how you got it so it helps me understand better. I am SO bad with function rules. ;-;
Answers
The function rule for y is - 5. When you want to get the next number in the set, you subtract five to the previous number. For example, 9 - 5 = 4.
Hope this helps!
Please Help!!!!!!!! Only Circled Questions!!!!!!!!!!! Show all Steps
Answers
I'll solve the first two questions for you and show you how to do them step by step!
4.
We must use a certain formula to find the volume of a cylinder. The formula is:
V = pi * r^2 * h
We already have that information!
Pi = approximately 3.14
Radius = 7.5 in
Height = 3.6 in
Substitute:
(Make sure ro solve it step by step, rather than do it all at once)
V = 3.14 * 7.5^2 * 3.6
V = 176.625 × 3.6
V = 635.85
Rounded to the nearest cubic unit, the volume of this cylinder is 636 inches cubed.
**Don't forget to write a small 3 above inches to indicate that it is cubed!
5.
Aha! This time they haven't given you the radius, but the diameter.
Since the radius is half of the diameter, we must divide the diameter by 2 to find it.
r = d ÷ 2
r = 28 ÷ 2
r = 14 cm
Like the previous question, we have enough information to solve this! We'll use the same formula to calculate the volume of this cylinder.
V = pi * r^2 * h
Pi = Approximately 3.14
Radius = 14 cm
Height = 5 cm
Substitute:
V = 3.14 * 14^2 * 5
V = 615.44 * 5
V = 3,077.2 cm cubed
Rounded to the nearest cubic unit, the volume of this cylinder would be 3,077 centimetres cubed.
REMINDERS:
Use the SAME formula for all of the other questions regarding volume of a cylinder. The formula fof volume is:
V = pi * r^2 * h
Make sure you write the small 3 above it!
Mr.holms used 4/5 of a carton of orange juice.he used equal amounts of leftover juice for two servings what fraction of the whole carton of juice did he use for each serving
Answers
You are working as an apprentice for the bksb Newcastle Arena. When bands play at the arena the money made from ticket sales is split in an agreed ratio. When Phillip Cage played, £21,000 was split at a ratio of 2:5 between the arena and Phillip Cage. How much money did the arena make from Phillip Cage’s concert?
Answers
7x = 21000
x = 21000/7
x = 3000
That means the money was split up
2 * 3000 = 6000
5 * 3000 = 15000
The arena got the 2 part of the ratio.
The arena got 6000 pounds. I don't have that L on my keyboard.
Final answer:
The arena therefore made £6,000 from Phillip Cage's concert.
Explanation:
To find the amount of money the arena made from Phillip Cage's concert:
Calculate the total parts in the ratio: 2 + 5 = 7 parts.Divide the total money by the total parts: £21,000 / 7 = £3,000 per part.Finally, multiply the arena's share of parts (2 parts) by the value of each part: £3,000 x 2 = £6,000.The median number of coloring contests won by 4 kids in a certain year is 5. The range of number of contests won by those kids that year is 6.
Determine if the following statement is true, is false, or does not contain enough information.
At least one of the kids won exactly 5 coloring contests.
Answers
The statement that at least one of the kids won exactly 5 coloring contests based on the given median and range is not necessarily true; the information provided doesn't specify individual winnings.
Explanation:The statement that at least one of the kids won exactly 5 coloring contests is false based on the given information. The median of a dataset is the middle value when the numbers are arranged in order. However, knowing the median is 5 does not necessarily mean any of the values in the dataset are 5. It only indicates that half of the kids won more than 5 contests, and half won fewer. The range of 6 tells us the difference between the highest and lowest values but does not provide specific information about any of the kids winning exactly 5 contests.
The given data does not contain enough information to accurately say whether a kid won exactly 5 contests or not, thus making the initial claim not necessarily true.
a product cost 48.50 for 75 feet was is my cost per inch
Answers
$48.50 / 900 = ~ $0.05 per in
A total of 757 tickets were sold for the school play. They were either adult tickets or student tickets. There were 57 more student tickets sold than adult tickets. How many adult tickets were sold?
Answers
Final answer:
To find the number of adult tickets sold, a system of equations is created based on the total tickets sold (757) and the fact that there were 57 more student tickets sold. Solving for x gives us 350 adult tickets.
Explanation:
How to Determine the Number of Adult Tickets Sold
To determine how many adult tickets were sold for the school play when there is a known total of 757 tickets and that 57 more student tickets were sold than adult tickets, we can set up a system of equations to solve for the number of adult and student tickets. Let's let x represent the number of adult tickets, and x + 57 represent the number of student tickets since there were 57 more student tickets sold than adult tickets.
Based on the total number of tickets sold, the following equation represents this relationship:
x (adult tickets) + x + 57 (student tickets) = 757
Combining the like terms gives us:
2x + 57 = 757
Subtracting 57 from both sides gives us:
2x = 700
Dividing both sides by 2 gives us:
x = 350
So, the number of adult tickets sold is 350.
What is the volume of this square pyramid?
384 cm³
288 cm³
192 cm³
96 cm³
Answers
The required volume of the square pyramid is 3[tex]84 cm$^3$[/tex]. The answer is option A.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
The formula for the volume of a square pyramid is:
[tex]$V = \frac{1}{3}Bh$[/tex]
Where B is the base area and h is the pyramid's height.
In this case, the base is a square with a side length of 12 cm, so its area is:
[tex]B = 12^2 = 144cm$^2$[/tex]
The height of the pyramid is 8 cm.
Plugging these values into the formula, we get:
[tex]V = \frac{1}{3}(144)(8) = 384$ cm$^3[/tex]
Therefore, the volume of the square pyramid is 3[tex]84 cm$^3$[/tex]. The answer is option A.
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Which of these best describes an undefined term?
A. A term that is a building block for other definitions in geometry
B. A clause in a conditional statement that begins with "then"
C. A statement that has already been proven to be true
D. A statement that is the opposite of an original statement
Answers
Answer:
A. A term that is a building block for other definitions in geometry.Step-by-step explanation:
In Geometry, undefined terms refer to concepts like point, line and plane. Which are concepts that cannot be defined, they are too intuitive. Undefined terms are always true, they cannot be prove because those concepts are too primitive.
It's important to know that Geometry develops another complex defintions from these undefined terms, beacuse point, line and plane are the fundamentals of Geometry.
Therefore, the right answer is A.
Other choices are just wrong, because undefined terms aren't condition statments, they cannot be proven and they aren't oppsite of an original statement.
Make a general statement about information is revealed by an unfactored polynomial compared to a factored polynomial
Answers
An unfactored polynomial will not allow you to find the solutions, however it is easier to differentiate in case you wanted to find the turning points.
For your answer though, i recommend you just write about how a factored polynomial will reveal the solutions. (By the way, solutions are where the equation crosses the x-axis.)
Best of luck!