Answer:
Step-by-step explanation:
volume of cone = πr²h/3 = (3.14)(11²)(11) ≈ 4,179.34 cm³
Please help!
Passes through (- 1, - 8) and perpendicular to x + 3y = - 6
What is the equation?
Answer:
y = 3x - 5
Step-by-step explanation:
1) First, place the given equation in slope-intercept form, represented by the formula [tex]y = mx +b[/tex], to find the slope. Whatever [tex]m[/tex] or the coefficient of x-term is will be the slope. Isolate y in the equation:
[tex]x + 3y = -6\\3y = -x -6\\y = -\frac{1}{3}x-2[/tex]
So, the slope of that line is [tex]-\frac{1}{3}[/tex]. Lines that are perpendicular have slopes that are opposite reciprocals, thus the slope of the new line will be 3.
2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the equation of the new line. Substitute real values for the [tex]m[/tex], [tex]x_1[/tex] and [tex]y_1[/tex] in the equation.
Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{1}{3}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represents the x and y values of one point the line passes through, substitute the x and y values of (-1,-8) into the formula as well. Then, isolate the y in the resulting equation to put the equation in slope-intercept form and find an answer:
[tex]y-(-8) = 3 (x-(-1))\\y + 8 = 3(x+1)\\y + 8=3x + 3\\y = 3x -5[/tex]
need help with surface area
hi i need some help on this, please explain
Answer:
w = 32
Step-by-step explanation:
Remark
The value of the exterior angle (marked w + 33) = the sum of the two angles not connected to it. w and w + 1
Equation
w + w + 1 = w + 33
Solution
2w + 1 = w + 33 Subtract w from both sides.
2w - w + 1 = 33 Combine
w + 1 = 33 Subtract 1 from both sides.
w = 33 - 1
w= 32
A rock is dropped down from the top of a 500-foot cliff. After 1 second, the rock is traveling 32 feet per second. After 5 seconds, the rock is traveling 160 feet per second.
a. Assume that the relationship between time, t, and speed, s, is linear, and write an equation describing this relationship. Use ordered pairs of the form (time, speed).
b. Use this equation to determine the speed of the rock 7 seconds after it is dropped.
Answer:
A) s=32t
B) 224 ft/s
Step-by-step explanation:
A)
In the form (time, speed), the question gives us the following data: (1,32) and (5,160). Since we are told that the relationship between time, t, and speed, s, is linear, we know the equation will fit the formula y=mx+c, where m is slope c is the y-intercept and y and x are the co-ordinate values. Plug in (1,32) and (5,160) to find the formula:
y=mx+c
s=mt+c
32=1m+c
c=32-m
160=5m+C
160=5m+32-m
128=4m
m=32
c=32-m
=32-32=0
So our equation is s=32t
B)
s=32t
s=32(7)=224 ft/s
please help. 6 points!
Answer:the correct answer is b
Step-by-step explanation:
15 POINTS 15 POINTS !5 POINTS
Answer:
I AM SO SORRY but I need that point soo plsss Im sooo sorry
Answer:
The answer is (x+2)²+(y-3)²=29.
Hope it helps uh
Solve the inequality -2(x + 3) + 2 >- 6. Then graph the solution.
I need this right away!
Which lines are parallel to the graph of 4x - y = 6? Check all that apply.
x - 4y = -12
y-2 = -4(x + 1)
y + 1 = 4(x - 2)
y = 4x + 11
y=-x-3
8x – 2y = 6
Intro
Done
civily
Answer:
Step-by-step explanation:
I can only tell you that 4x-y=6 is parallel to y=4x-6. Do u mind sort out the rest of the variables and the numbers on your own?
The lines parallel to given line are y + 1 = 4(x - 2) and y = 4x + 11. Therefore, option C and D are the correct answers.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Given that, the equation of a line is 4x-y=6.
Now, y=4x-6
Here, the slope of the equation is 4.
The slope of a line parallel to given line is m1=m2
So, here the slope of a parallel line is 4.
y + 1 = 4(x - 2) and y = 4x + 11 have same slope, then they are parallel to given line.
Therefore, option C and D are the correct answers.
To learn more about the equation of a line visit:
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MY LAST QUESTION PLEASE HELP
Find the measures of a and b in the figure.
Answer:
55
Step-by-step explanation:
62+63=125
180-125=55
Which of the following equations shows how to correctly calculate the volume, V, in cubic centimeters, of the prism below?
A.V = (9)(12) × 18
B.V = × 9
C.V = × 12
D.V = × 18
Answer:
A
Step-by-step explanation:
which of the following are trigonometric identities?
Identify the type of triangle by looking at the sum of the angle
measures.
145 + 20 + 15 = 180°
Answer:
Scalene triangle because it's all sides are unequal
Answer:
Scalene triangle
Step-by-step explanation:
Candice opens a savings account with money from her
birthday. She initially put in $75. Each year her
balance increases by 25%. Write an equation to show
how much money Candice will have in their account in
x years.
lin's family needs to travel 325 miles to reach her grandmother's house. how far have they traveled when they have completed 72% of the trip's distance?
Answer:
Step-by-step explanation: Lin's family completed 8% of the trips distance.
Answer:
234 miles
Step-by-step explanation:
72% of 325=234
Divide 20x^4 by 10x^2
Answer:
The answer for this equation is 2x⁶.
Step-by-step explanation:
In order to solve the equation, you have to Take out the Constants.
[tex] \frac{20}{10} {x}^{4} {x}^{2} [/tex]
Now you have to Simplify 20/10 to 2 because 10 divided by 20 is 2.
[tex] {2x}^{4} {x}^{2} [/tex]
And now you have to Use the product rule:
[tex] {x}^{a} {x}^{b} = {x}^{a + b} [/tex]
[tex]2x ^{4 + 2} [/tex]
and lastly, you have to simplify 4 + 2 to 6.
[tex] {2x}^{6} [/tex]
Therefor, the answer for this equation is 2x⁶.
Answer:
i have questine
Step-by-step explanation:
3x + 2 - x + 2 = x + 8
3x+2-x+2=x+8
3x-x=2x
2+2=4
4x+4=x+8
-4 -4
4x=x+4
-x -x
3x=4
/3 /3
x=4/3 or 1 1/3 or 1.3333
---
hope it helps
Answer:
x = 4
Step-by-step explanation:
3x+2−x+2=x+8
Add the numbers
3 + 2 − + 2 = + 8 3 + 4 − = + 8 2
Combine like terms
3 + 4 − = + 8 2 + 4 = + 8 3
Subtract 4 from both sides of the equation
Simplify
Subtract the numbers
2x+4−4=x+8−4
2 = + 8 − 4
Subtract the numbers
2 = + 4 5
Subtract x from both sides of the equation
2 = + 4 2 − = + 4 − 6
Simplify
Combine like terms
Multiply by 1
Combine like terms
= 4
Solution
= 4
What is the equation of the following line? Be sure to scroll down first to see
all answer options,
(0,0) (7,2)
WHAT IS THE TOTAL SURFACE AREA OF THE SQUARE PYRAMID???? THIS IS THE LAST QUESTION AND I ONLY HAVE 13 POINTS SO PLEASE ANSWER CORRECTLY!!!! :DD WILL GIVE BRAINLIEST AND 5 STARS AND THANKS IF YOUR RIGHT
Answer:
The answer is 203 cubed in
Step-by-step explanation:
7 x 11 = 77
77 x 2 = 154
7 x 7 = 49
154 + 49 = 203
Please help!! I'm desperate!!
How many terms are in each factor of 5(6 + 4x)?
Answer:
2
Step-by-step explanation:
PLEASE HELP IVE BEEN STUCK ON THIS ONE FOR QUITE A WHILE.
help its for someone!!
Answer:
b 17/18
Step-by-step explanation:
Solve the one's in bracket then later solve everything together
whαt ís thє vαluє σf х ?
[tex]x {}^{2} - \: 25 = 144[/tex]
Answer:
hey mate!!
Step-by-step explanation:
x
2
−25=144
X^2=144+25
x^2=169
x=√169
x=13
Sorry mate check out the answer !
A baker recorded the number of batches of
cookies he made on each of seven days. He
baked a different number of batches of cookies
each day. This box-and-whisker plot
summarizes his data.
Number of Cookies
+
9 10 11 12 13 14 15
1 2
3
4
5
6
7
8
The baker baked 20 batches of cookies on the
eighth day. He redraws the box-and-whisker plot
to include his data. Which statement comparing
the new box-and-whisker plot to the original box-
and-whisker plot is NOT true?
A. The median increased.
B. The lower extreme increased.
C. The upper extreme increased.
D. The value of the interquartile range
increased
Answer:
B. The lower extreme increased.
Step-by-step explanation:
From the original box and whisker plot, the lower extreme (minimum) is 5 ; The upper extreme, maximum is 15.
The number of batches baked on the eight day is 20. This exceeds tbe previous maximum value. Hence, upper extreme( maximum) value of the new plot will change from 15 to 20.
The lower extreme isn't affected as the obtained value isn't below 5.
The median value will Increase and the upper quartile value will also increase. Once the upper quartile value increases, the interquartile range will also increase
3. Determine the value of b.
94
18
Answer:
56
Step-by-step explanation:
hope this is correct
please i need help in geometry please help
Answer:
∠AOB = 112°
Step-by-step explanation:
mentally draw line segment OC
that line bisects 124° so ∠OCB = 1/2(124°) = 62°
ΔOCB is isosceles because OB = OC
∠OBC = 62° because it is equal to ∠OCB
all triangle interior angles add up to 180°
∠BOC = 180° - 62° - 62° = 56°
∠AOC = 56° because OC was a bisector of ∠AOB
∠AOB = 56° + 56° = 112°
Marissa went on a trip and drove her car throughout the day. The graph below shows Marissa's distance from the starting point of her trip for different segments of time
What’s the answer to this please?
A. The rate of the first segment is increasing, second segment is constant, and third segment is decreasing.
B. Marissa's distance from the starting point at the end of her trip is 40 miles.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The graph below shows Marissa's distance from the starting point of her trip for different segments of time.
A. The rate of the first segment at the interval (0,3) is increasing, the rate of the second segment at the interval (3,7) is constant, and the rate of the third segment at the interval (7,10) is decreasing.
B. Marissa's distance from the starting point at the end of her trip is 40 miles.
Learn more about the graphs here:
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The question seems incomplete, the missing part has been below:
A. Describe each of the three segments of the graph in terms of the rate of change in Marissa's distance from the starting point throughout her tip.
B. What is Marissa's distance from the starting point at the end of her trip?
Imagine you are starting an office supply business. Your overall costs for supplies are $100. You plan on selling binders for $4 each and pencils for $2 each. Let x represent the number of binders sold and y represent the number of pencils sold.
Complete question :
Imagine you are starting an office supply business. Your overall costs for supplies are $100. You plan on selling binders for $4 each and pencils for $2 each. Let x represent the number of binders sold and y represent the number of pencils sold. Give an expression for the profit made.
Answer:
(2y + 4x) - $100
Step-by-step explanation:
Given that:
Cost of supply = $100
Supplies :
binders, sales price = $4
Pencils, sales price = $2
Number of binders sold = x
Number of pencils sold = y
The revenue from sale :
(Cost of pencils * number of pencils) + (cost of binders * number of binders)
Revenue = 2y + 4x
Profit, p = Revenue - Cost of supply
p = (2y + 4x) - $100
Rodrigo buys a jacket that is on sale for 1/4 off the original price of 80$.he has a coupon for an additional 10% off.how much does Rodrigo pay for the jacket
Answer:
Price after off =80- 1/4 * 80 = 80-20 = $60
Coupon discount = 60*10/100 = $6
So, he have to pay, 60-6 = $54
WILL GIVE BRAINLIEST
Answer:
A
Step-by-step explanation:
JK is longer than JL and isn't 9 units long
Leonard has 5 times as many stamps as Alison. Melissa has 7 more stamps than Leonard. If Alison has q stamps, how many stamps does Melissa have?