Answers
h(x) = 17 + x/6
y = 17 + x/6
y = 17 + (-18)/6
y = 17 - 18/6
y = 17/1 + (-18)/6
y = 17/1 + (-3)/1
y = 17/1 - 3/1
y = 17 - 3 / 1 - 1
y = 14 / 1
y = 14
h(x) = 14
Therefore, the answer should be: 14
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Related Questions
Taylor buys dog food in bulk at the cost of $1.27 a pound. If he buys $107.95 of dog food, how many pounds will
he be buying?
Answers
Answer: 85 lbs
Step-by-step explanation:
$107.95 / $1.27 = 85 pounds of dog food
guys pls help me,I don't know how to answer this. :(((
Answers
Answer:
Vol_prism = 48 (all answers should have the units cm^3)
Vol_pyramid = 25
Vol_cyl = 37.68
Vol_cone = 12.56
Vol_sphere = 113.04
Step-by-step explanation:
This was a very compact problem (5 problems!) You read the chart top to bottom and each column is a different problem.
Vol of a prism:
V = l×w×h = 4×4×3
= 48 cm^3
Vol of a pyramid:
V = 1/3Base•h
= 1/3 (5×5)•3
= 25 cm^3
Vol of a cylinder:
V = pi•r^2•h
= pi•2^2•3
= pi•4•3
= 12pi = 12(3.14)
= 37.68 cm^3
Vol of cone:
= 1/3pi•r^2•h
= 1/3pi•2^2•3
= 4pi = 4(3.14)
= 12.56 cm^3
Vol of a sphere:
V = 4/3pi•r^3
= 4/3 pi•3^3
= 4/3 pi•27
= 36pi = 36(3.14)
= 113.04 cm^3
Pheewwwww! That was a lot! Hopefully you are just reviewing all your volume formulas. Hope this helps!
(−1)^nx^n/ cubicroot n find the radius of convergence
Answers
The radius of Convergence for the function [tex]\frac{\[(-1)^{n} \; x^{n} }{\sqrt[3]{n} }[/tex] is 1.
What is radius of convergence?The radius of the largest disk at the center of the series in which the series converges.
Perform the ratio test for absolute convergence, which says
if [tex]\lim_{n \to \infty} \frac{a_{n}}{a_{n+1}}[/tex] =L
Then,
1) if L<1, the series is absolutely convergent
2) If L>1, the series is divergent
3) If L= 1, apply a different test.
Now, Applying test
[tex]a_{n+1}[/tex] =[tex]\frac{(-1)^{{n+1} } \; x^{n+1}}{\sqrt[3]{n+1} }[/tex]
So,
[tex]\lim_{n \to \infty} \frac{a_{n+1}}{a_{n}}[/tex] = [tex]\lim_{n \to \infty}|\frac{ (-1)^{{n+1} } \; x^{n+1}/\sqrt[3]{n+1} }{ (-1)^{n} \; x^{n} /\sqrt[3]{n} } |[/tex]
= [tex]\lim_{n \to \infty}|\frac{ (-1)^{{n+1} } \; x^{n+1}\sqrt[3]{n}}{ (-1)^{n} \; x^{n} \sqrt[3]{n+1} } |[/tex]
= [tex]\lim_{n \to \infty}|\frac{ (-1) \; x^{n}\sqrt[3]{n}}{ \sqrt[3]{n+1} } |[/tex]
= [tex]\lim_{n \to \infty}\sqrt[3]{\frac{1}{1+\frac{1}{n}} } } |x|[/tex]
Applying the limit n→∞,
= 1 x |x|
= |x|
By ratio test, the given series will be convergent if |x|< 1.
So, the radius of Convergence = 1
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A regular pentagonal prism has a volume of 2,850 cubic millimeters. What is the height of the prism
Answers
The expression that represents the height of the prism is 2850/b where b is the base area
How to determine the height?The given parameter is:
Volume = 2850
Let the height of the prism be h, and the base area be b.
The volume is calculated using:
V = bh
Make h the subject
h = V/b
Substitute V = 2850
h = 2850/b
Hence, the expression that represents the height of the prism is 2850/b
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If a cone had a volume of 3 pi and a radius of 1 then what is the height
Answers
Answer:
it would be around 9 or something, im estimating.
Step-by-step explanation:
Find the equation of the line that has a slope of -3 and a y-intercept at 5.
y = -3x + 5
y = -5x + 3
y = 5x - 3
y = 3x - 5
2.
Find the equation of the line that has a y-intercept of -1 and a slope of 1/2.
y = -x + 1/2
y = 1/2 x - 1
y = -1/2 x + 1
y = 1x - 1/2
3.
Find the equation of the line where m = 1 and b = 8.
y = x + 8
y = 8 - x
y = 8x + 1
y = 8
4.
Find the equation of the line that goes through the point (1, -1) and has a slope of 5.
y = 5x - 6
y = 5x + 1
y = 5x - 1
y = x + 5
5.
Find the equation of the line that goes through the point (2, -3) and has a slope of -1.
y = -x - 1
y = 2x - 3
y = -x - 3
y = -x + 2
6.
Find the equation of the line that goes through the point (5,1) and has a slope of 0.
y = 5
y = 1
y = 5x + 1
x = 5
7.
Find the equation of the line that goes through the point (-2, -2) and has a slope of -4.
y = -2x - 2
y = -4x - 10
y = -4x - 2
y = -2x - 4
8.
Find the equation of the line that goes through the points (0, 4) and (10, 2).
y = -1/5 x + 2
y = -5x + 4
y = -1/5 x + 4
y = 1/5 x - 4
9.
Find the equation of the line that goes through the points (2, 2) and (6, 6).
y = 2x + 6
y = 6x + 2
y = x
y = -x
10.
Find the equation of the line that goes through the points (0, 6) and (12, 2).
y = 12x + 2
y = -3x + 6
y = -1/3 x + 6
y = -1/3 x + 2
11.
Find the equation of the line that goes through the points (4, 4) and (8, 6).
y = 4x + 6
y = 1/2 x + 2
y = 2x - 4
y = 1/2 x + 4
Answers
Step-by-step explanation:
1. A
2. B
3. A
4. A
5. A
6. B
7. B
8.C
9. C
10. C
11. C
Dr. Patel plots points J, K, and L in the coordinate plane.
a. What is the distance between points J and K? Show
your work.
Answers
The distance between J(-5, -3) and K(1, 5) on the coordinate plane is about 10 units.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Point J is at (-5, -3) while point K is at (1, 5), hence:
[tex]JK=\sqrt{(5-(-3))^2+(1- (-5))^2} =10\ units[/tex]
The distance between J(-5, -3) and K(1, 5) on the coordinate plane is about 10 units.
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pls help asap thanj u so much
Answers
First we multiply 10 to both sides
S - 31 = 60
Then add 31 to both sides to get a
s = 91
Hope this helps!
out of 25 students, 15 students are girls. what is the ratio of boys and girls? a: 3:5 b: 2:5 c: 2:3
Answers
Answer:
Answer: C 2:3
Step-by-step explanation:
total students = 25
total girls = 15
total boys = 25-15 = 10
boys:girls = 10:15
divide by 5 to get 2:3
** GIVING BRAINLIEST!! **
Problem 2
Kayla has a goal to hike at least 75 miles. She has
already hiked 20 miles.
She plans to hike n miles each week for the next 6
weeks.
Which inequality describes the nuinber of miles Kayla
should hike each week to meet her goal?
20 + 6n < 75
20 - 6n < 75
20 + 6n > 75
20 - 6n > 75
( the signs are supposed to have the line underneath it )
Answers
Answer:
20 + 6n > 75(the sign has an underline)
To determine how many miles Kayla needs to hike each week for the next 6 weeks to reach her goal of at least 75 miles, we can subtract the miles she has already hiked from her target goal and divide it by the number of weeks remaining.
Target goal - Miles already hiked = Miles remaining
75 miles - 20 miles = 55 miles remaining
Now, we divide the remaining miles by the number of weeks:
55 miles / 6 weeks = 9.17 miles per week (approximately)
Therefore, Kayla needs to hike approximately 9.17 miles each week for the next 6 weeks in order to reach her goal of at least 75 miles.
Suppose you fill up a cone-shaped cup with water. you then pour the water into a cylindrical cup with the same radius. both cups have a height of 6 inches. without doing any calculation, determine how high the water level will be in the cylindrical cup once all of the water is poured into it. explain your reasoning.
Answers
Step-by-step explanation:
Greg can eat an entire large (18-inch) pizza by himself and believes that if his partner can eat the same amount, they should be able to eat a 36-inch pizza. Explain why you agree or disagree.
Answers
Answer:
Yes if Greg and his partner can both eat 18 inch pizza then together they can eat a 36 inch pizza
Step-by-step explanation:
18+18=36
x(36) is greater then or equal to 36 making this equation true
A triangle has an area of 14 square units. Its height is 7 units. What is the length of its base
Answers
Answer:
4 units
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
given A = 14 and h = 7 , then
[tex]\frac{1}{2}[/tex] × 7b = 14 ( multiply both sides by 2 to clear the fraction )
7b = 28 ( divide both sides by 7 )
b = 4 units
Step-by-Step Explanation:
Let ‘x’ be the Base of the Triangle.
Area = 14 square units
Height = 7 units
Therefore,
= Area = 1/2 * Base * Height
= 1/2 * x * 7 = 14
= x/2 * 7 = 14
= 7x/2 = 14
= 7x = 14 * 2 = 28
=> x = 28/7 = 4
Therefore, Base = x = 4 units
Quadrilateral abcd has vertices A(4,0),B(3,3),C(-3,1) and D(-2,-2)
Answers
Answer:
very easy
Step-by-step explanation:
First of all
made a distance between
AB
BC
CD
AD
and diagnals
AC
BD
If the all are equal means it is a square
if diagnols are different means it is rectangle
if diagnals are not equal means it is parallelogram
thats it try your best
you can do it
best of luck
Michaels goal is to walk 5 miles per week he has already walked 2 1/4 miles how many more miles must he walk to reach his goal
Answers
Answer:
2 3/4 miles more
Step-by-step explanation:
5 - 2 1/4 = 2 3/4
Find the surface area of the rectangular prism.
4 km
5 km
2 km
Answers
A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square?
Answers
Answer:
See below ~
Step-by-step explanation:
Formula to find shaded area :
Area (shaded) = Area (square) - Area (white triangle)Area (shaded) = s² - 1/2bhArea (shaded) = (4)² - 1/2(4)(4)Area (shaded) = 16 - 8Area (shaded) = 8 square unitsKindly check and refer this working to find a satisfactory expression.
Area
1/2BH1/2(4)(4)1/2(4²16/28units²HELPPP pls pls pls tyty
Answers
Answer:
A=72CM^2
Step-by-step explanation:
The answer is 72cm^2 because the area of a triangle is h x b divided by two because the triangle is half of a square, since the square is side times side, the answer is 12x12 divided by two, wich is 144/2. The final answer is 72
Answer:
72
Step-by-step explanation:
area of a triangle = 1/2 × base length × height
base length = 12 and height = 12
so area = 1/2 × 12 × 12
==> multiply 12 by 12
area = 1/2 × 144
==> divide 144 by 2
area = 72
I need help with all of these questions you see on the top. there the red squares. please someone smart. this is one of the problems I need to finish this tonight.
Answers
Answer:
101°
Step-by-step explanation:
The angles BEA and BED are a linear pair. They total 180°. (They are supplementary.)
__
∠BEA +∠BED = 180° . . . angles of a linear pair are supplementary
79° +∠BED = 180° . . . . use the given angle value
∠BED = 101° . . . . . . . . . subtract 79°
A piece of rope is 54 inches long. It is cut into pieces that are each 9 inches long.
How many pieces of rope are there?
plsss I'm at a f
Answers
Answer:
6 pieces of rope
Step-by-step explanation:
if the total is 54 and each are 9 you can make an equation
54= 9 x a
solve for a
to do this you divide 54 by 9
54/9=6
Answer:
6 pieces of rope
Step-by-step explanation:
54/9
if a coin is tossed and a number cube is rolled, what is the probability of getting tails and 1
Answers
Answer:
1/12
Step-by-step explanation:
probability of tails is 1/2
probability of 1 out of 6 is 1/6
so 1/2 x 1/6 = 1/12
Write the standard form of the equation of the parabola with the given focus or directrix and
vertex (0, 0).
focus: (5, 0)
Answers
Answer:
x = 1/20 y^2
Step-by-step explanation:
This is a rightward opening (sideways ) parabola
Directrix = x = -5
Distance formula form point x,y to directrix and focus are equal:
(x - -5)^2 = (x-5)^2 + y^2
x^2 + 10x + 25 = x^2 - 10x + 25 + y^2
20x = y^2
x = 1/20 y^2
Find the percent change from the first value to the second 50;30
Answers
Answer:
-40%
Step-by-step explanation:
NV = new value
OV = old value
percent change = (NV - OV)/(OV) × 100%
percent change = (30 - 50)/(50) × 100%
percent change = -20/50 × 100%
percent change = -40%
What is the value of x?
Answers
Step-by-step explanation:
2 things to remember :
1. the sum of all angles in a triangle is always 180°.
2. the sum of all angles around a single point on one side of a line is also 180° (because the line can be seen as the diameter of a circle, the point as its center, and so every side of the line is a half-circle = 180°).
so, the third, unnamed angle in the triangle is the supplementary angle to 142° (that means they complete each other to full 180°).
it is therefore
180 - 142 = 38°
and then, inside the triangle
180 = 66 + x + 38 = 104 + x
x = 76°
Solve by using substitution. Express your answer as an ordered pair. 2x+y=-5 y=x+4
Answers
Step-by-Step Explanation:
=> 2x + y = -5 (Eq. 1)
=> y = x + 4 (Eq. 2)
Substitute value of ‘y’ from Eq. 2 in 1 :-
2x + y = -5
2x + (x + 4) = -5
2x + x + 4 = -5
3x + 4 = -5
3x = -5 - 4
3x = -9
x = -9/3
=> x = -3
Therefore, x = -3
Substitute value of ‘x’ in Eq. 2 :-
y = x + 4
y = (-3) + 4
=> y = 1
Therefore, y = 1
This Solution can be written in the ordered form as (-3, 1)
What is the perimeter of the smaller triangle?
Answers
Answer:
14 mm
Step-by-step explanation:
Just as the little side is 1/4 of the larger side , so is the perimeter
1/4 * 56 = 14 mm
If the perimeter is 142 feet, find the value of x
Answers
Answer:
x = 35.5
Step-by-step explanation:
assuming all sides are equal (a square),
4x = 142
4x / 4 = 142 / 4
x = 35.5
Test tomorrow and I need this to make sense please
Answers
x=-4
Step-by-step explanation:
see the picture for full solution
Help plsss!! I’d rlly appreciate it :]
(You don’t have to answer all of them but I rlly need the first question!!)
The Apple iPad Mini 2 has dimensions of: Height: 7.9 in, Width: 5.30 in, Depth: 0.30 in.
1. What is the volume of the Apple iPad Mini 2?
2. If Pear-Apple applies a scale factor of 1.25 to the iPad Mini 2 to make a new tablet, what would be the new volume in cubic inches?
3. Suppose Pear-Apple applies a scale factor of .75 to the iPad Mini 2 to make the Lil Mini. What would be the volume for the Lil Mini in cubic inches.
4. Pear-Apple scraps their plans and decide to come up with a product that is half the volume of the iPad Mini. What scale factor should they use and what should the dimensions be?
5. Pear-Apple also wants to make a bigger tablet. They want the tablet to have twice the volume from the iPad Mini 2. What’s the scale factor and dimensions of the tablet?
Answers
The volume of the Apple iPad Mini 2 is 12.561 in³.
The new volume of the Pear-Apple is 24.53 in³.
The new volume of the Pear-Apple is 5.3in³.
The scale factor to have a volume that is half that of the iPad Mini is 0.79.
The scale factor to have a volume that is double that of the iPad Mini is 1.26
What is the volume of the Apple iPad Mini 2?Volume = length x width x height
7.9 x 5.30 x 0.30 = 12.561 in³
What is the volume after the scale factors are applied?Dimensions after the 1.25 scale factor is applied: (1.25 x 7.9) x (1.25 x 5.30) x (1.25 x 0.3)
= 9.875 x 6.625 x0.375 = 24.53 in³
Dimensions after the 0.75 scale factor is applied: (0.75 x 7.9) x (0.75 x 5.30) x (0.75 x 0.3)
= 5.925 x 3.975 x 0.225 = 5.3in³
Scale factor to have a volume that is double that of the iPad Mini : [tex]2^{1/3}[/tex] = 1.26
Scale factor to have a volume that is half that of the iPad Mini : [tex]0.5^{1/3}[/tex] = 0.79
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i don’t understand how this question
Answers
Answer:
x = √51
Step-by-step explanation:
The given figure is a right triangle.
Using the Pythagorean Theorem to find x
(Altitude 1)² + (Altitude 2)² = (Hypotenuse)²(7)² + x² = (10)²49 + x² = 100x² = 51x = √51