The volume of the larger cone is about 18.8 cubic inches greater than the volume of the small cone
The volume of a cone is calculated as:
For the small cone, we have the following parameters:
Diameter = 3 inches
Height = 3.5 inches
Diameter = 4.5 inches
Height = 5.1 inches
So, the volume of the large cone is:
Calculate the difference of both volumes
Hence, the volume of the larger cone is about 18.8 cubic inches greater than the volume of the small cone
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What is the slope of the line that passes through the points (−2,−4) and)(3,−9)? Write your answer in simplest form.
Answer:
The slope is -1
Step-by-step explanation:
Formula for finding slope: [tex]\frac{rise}{run} = \frac{y2 - y1}{x2-x1}[/tex]
we got the points:
(−2,−4) and)(3,−9)
let's plug them in.
[-9-(-4)] / [3-(-2)] =
-5 / 5 = -1
stephen had 4 cupcakes. He ate 3/4 of one cupcake. How many does he have now?
Answer:
He has 3.25 ([tex]3\frac{1}{4}[/tex]) cupcakes left
Step-by-step explanation:
Stephen starts with 4 cupcakes
If he eats [tex]\frac{3}{4}[/tex] of 1 cupcake, he will have [tex]\frac{1}{4}[/tex] of said cupcake left
[tex]1-\frac{3}{4} =\frac{1}{4}[/tex]
Since he has 3 other cupcakes, we will add the remaining [tex]\frac{1}{4}[/tex] of the other cupcake to the total.
[tex]3+\frac{1}{4} =3\frac{1}{4}[/tex]
Hope this helped!
what is 43-3y=16 find the unknown?
Answer:
9
Step-by-step explanation:
We have to move -3y to by itself so we move 43 to the other side, when we do this 43 becomes negitive.
-3y = 16 - 43
-3y = -27
Now we divide -27 by -3
y = -27/-3
y = 9
[tex]\rightarrow\sf{y \:=\: 9}[/tex]
Solution:-[tex]\rightarrow\sf{43 - 3y\: = \:16}[/tex]
[tex]\rightarrow\sf{-3y\: = \:16-43}[/tex]
[tex]\rightarrow\sf{-3y\: = \:-27}[/tex]
[tex]\rightarrow\sf{3y \:= \:27}[/tex]
[tex]\rightarrow\sf{y\: = \:\frac{27}{3}}[/tex]
[tex]\rightarrow\sf{y \:= \:9}[/tex]
Therefore, value of unknown y = 9.
_________________________________
Hope it helps you:)
The correlation between two scores X and Y equals 0.75. If both scores were converted to Z-scores, then the correlation between the z-scores
for X and z-scores for Y would be
-0.75
0.25
-0.25
0.0
0.75
Answer:
(e) 0.75
Step-by-step explanation:
The correlation coefficient is not affected by translation or scaling of scores. Converting them from "raw scores" to z-scores does not affect their correlation.
The correlation coefficient of the z-scores is 0.75.
Planes Q and R are parallel planes. Plane Q contains line a. Plane R contains line b.
Planes Q and R are parallel. Plane Q contains line a and plane R contains line b. Both lines are going the same direction.
If a third plane could be drawn which contains both lines a and b, then
lines a and b must be parallel.
lines a and b cannot be parallel.
lines a and b must be skew.
lines a and b must be perpendicular.
Answer:
lines a and b must be parallel
Step-by-step explanation:
if lines a and b are parallel in plane r and q, then the lines must always be parallel.
Answer:
A
Step-by-step explanation:
on e2020
Are my answers correct?
Answer:
Yes they are both correct.
Step-by-step explanation:
yes they are both correct.
The cylinder shown has a volume of 733 cubic inches.
a. What is the radius of the cylinder?
The radius of the cylinder is ?
(Round to the nearest tenth if needed)
Answer:
Your answer is 4.72
Use the formula:V=πr2h
The table shows the speeds of the four fastest drivers in a car race.
Driver
Speed (miles per hour)
Marco
224.362
Finn
224.136
Will
224.48
Liz
224.392
Did Marco win this week's race? Use words and numbers to justify your answer.
Answer:
14
Marco only got 2nd place
Step-by-step explanation:
help me please i need help
Can somebody please help me? I have dyscaluca and don't understand this
Answer:
man
Step-by-step explanation:
im sorry...you'll get it soon i swear
Graph the image of the figure using the transformation given
Answer:
See the explanation
Step-by-step explanation:
Please see the photo
Find the first three terms the described arithmetic series:
n=8
an= 36
a1=-6
Sn=120
The diameter of a circle is 30 ft. Find its area to the nearest whole number.
Answer:
[tex]\displaystyle 707\:ft.^2[/tex]
Step-by-step explanation:
Split the diametre in half before proceeding:
[tex]\displaystyle \pi{r}^2 = A \\ \\ 15^2\pi = A \hookrightarrow 225\pi = A \hookrightarrow 706,85834706... = A \\ \\ \boxed{707 \approx A}[/tex]
I am joyous to assist you at any time.
Decrease £19064.67 by 9.5%
Answer:
£17,253.53
Step-by-step explanation:
9.5% of 19,064.67 is 1,811.14 (rounded to the nearest hundredth.)
Subtract 1,811.14 from 19,064.67, and this will give you 17,253.53. This is a 9.5% decrease.
A ball is placed in a machine that throws the ball up in the air. The table represents some points on a graph of a function that models the ball’s distance from the ground with respect to the time since the ball was thrown. What is the range for this situation?
By analyzing the table we conclude that the range is the set R : [0, 7.66] so the correct option is the last one.
What is the range in the situation?For a relation y = f(x), we define the range as the possible values of y.
In this case, y represents the height that the ball takes, in the table, we can see that it starts at 0, then in reaches a maximum value of 7.66, and then it decreases again until it reaches the zero again when the ball returns to the ground.
Then y can take all the values between 0 and 7.66, meaning that the range is:
R : [0, 7.66]
Then the correct option is the last one.
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the figure shows a solid cube with dimensions 24 cm by 15 CM by 16 cm. A cylinder with a base radius of 4 cm and height of 7 cm is removed from the cuboid. find the area that will be covered in paint? (surface area)
Answer:
=2,133 3/7cm^2
Step-by-step explanation:
sides
15x16=240
240x2
=480cm^2
24×16=384
384×2= 768cm^2
768+480
a=1248cm^2
24x15=360cm^2
22/7x4x4
=50 2/7cm^2
360- 50 2/7
=354 5/7cm^2
(354 5/7)2
b=709 3/7cm^2
22/7x8x7
=22x8
c=176cm^2
a+b+c
1248+709 3/7+ 176
=2,133 3/7cm^2
The price of a car has been reduced from $14,500 to $10,730. What is the percentage decrease of the price of the car?
can someone explain this to me thank u :)
Answer:
1/4
Step-by-step explanation:
It is really weird that this answer is not on there but here is my explanation.
We can consider this question in two different ways.
First, we could list the possible outcomes.
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
In total 8 possibilities, 2 of which are either all heads or all tails. So the probability is 2/8 which is 1/4.
Alternatively, we could look at each of the three independent events in turn.
We toss the first coin. We don’t mind whether it lands head or tail, but we need to note the result. The probability of getting any result is 1.
We toss the second coin and there is a probability of 1/2 that the result matches the first toss.
We now toss the third coin and again there is a probability of 1/2 that the result matches the first toss.
So the probability of getting all heads or all tails is the probability of getting any result from the first toss (1) multiplied by the probability of a matching result for the second toss (1/2) multiplied by the probability of a matching result for the third toss (1/2).
So that’s 1 * (1/2) * (1/2), which is 1/4.
a rectangle has a perimeter of 36 feet. The length of the mat is twice the width. Write and solve an equation to determine the length, in feet, of the mat.
Then find the area, in square feet, of the mat.
❍ Concept :-
⠀
We have been provided with some information regarding a rectangular shaped mat. And on the basis of that information, we will create some assumptions and create and equation and equate it to get our required answer.
⠀
✱ Given Information :-
⠀
A rectangular mat with,
Perimeter = 36 ft. Length = twice the width⠀
✱ To Find :-
⠀
The dimensions of the matArea of the mat⠀
✱ Formula Used :-
⠀
[tex] \diamond \: \underline{ \boxed{\begin{array}{cc} \sf1. \: Perimeter_{Rectangle} = 2(l+b) \\ \\ \sf 2. ~Area_{Rectangle} = l\times b \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{array}}} \: \star \\ [/tex]
⠀
✱ Solution :-
⠀
Let the breadth of the mat be x, therefore,
Length = 2x⠀
Now, according to the question,
⠀
[tex] \sf \hookrightarrow 36 \: = 2(2x + x) \\ \\ \\ \sf \hookrightarrow 6x = 36 \: ft. \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow x = \cancel\frac{36}{6} = 6 \: ft. \: \: \\ [/tex]
Thus,
Length = 2x = 2 x 6 = 12 ft. Breadth = x = 6 ft.⠀
Now, we have to find out the area of the mat, thus,
⠀
[tex] \sf \hookrightarrow Area=6 \times 12 \\ \\ \\\sf \hookrightarrow Area=72 \: sq. ~ft. \\ \\ [/tex]
Thus, the area of the mat is 72 sq. ft.
⠀
[tex]\underline {\rule{221pt}{2.5pt}} \\ \\ [/tex]
Answer:
72 sq. feet
Step-by-step explanation
Since the perimeter is 36 feet and the length is 2w, you have to do the guess and check method.
I already did the guess and check method. So, here's how it became:
length =12
width=6
because 6x2=12 or 12 divide 2=6.
12 + 6 + 12 + 6.
12+6= 18. 12+6=18. 18+18=36 feet.
To find the area of a rectangle, you have to do L times W.
Which means 12x6.
12x6=72 sq. feet.
I hope this helps!!!
A spinner is divided into 8 identical sectors and labeled 1 through 8.
How many spins are expected for a multiple of 3 to be spun 6 times?
Select from the drop-down menu to correctly complete the sentence.
The spinner is expected to have to spin approximately
Choose...
times for a multiple of 3 to be spun 6 times.
12
16
24
48
Answer:
The answer is 12
Step-by-step explanation:
1-8(6)
The multiples of 3 would be 3 and 6.
3 and 6 are found 12 times within those 6 spins
Option 12 is the correct answer.
What is permutation?The permutation refers to the various ways in which objects from a set may be selected, generally without replacement, to form subsets.
For the given situation,
The spinner has 8 identical sectors {1,2,3,4,5,6,7,8}.
The multiples of three from the given sectors are 3 and 6.
Multiples of 3 in the sector = 2
The spinner is expected to have to spin the multiples of 3 to be spun 6 times = [tex]2[/tex] × [tex]6[/tex]
⇒ [tex]12[/tex]
Hence we can conclude that option 12 is the correct answer.
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Name a value for x that will make the statement true.
x<-4
Answer:
-5
Step-by-step explanation:
-5 is less than -4, and -4 is greater than -5.
Negative numbers become smaller to the left on the number scale.
There are infinite possible answers to this. :)
Answer:
-5
Step-by-step explanation:
-5 is less than -4 and -4 is bigger than -5
Martin has a pencil case which contains 4 blue pens and 3 green pens. Martin picks a pen at random from the pencil case. He notes its colour, and then replaces it. He does this two more times. Work out the probability that when Martin takes three pens, exactly two are the same colour. (3 marks)
Answer: How do you not understand this?
I understand it perfectly.
Step-by-step explanation:
The probability that when Martin takes three pens, exactly two are the same color is 26.53%.
Probability
Given:
Blue pens=4
Green pens=3
Hence:
Probability=4³+3³÷(4+3)³
Probability=64+27/343
Probability=91/343
Probability=0.2653×100
Probability=25.53%
Therefore the probability that when Martin takes three pens, exactly two are the same color is 26.53%.
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i need help this is really hard i still dont understand plss help
Answer:
(b) 64 sq. in.
Step-by-step explanation:
The shaded area is the difference between the overall area and the areas of the cutout corners.
The overall area is 10 in by 10 in, so is ...
A = s² = (10 in)² = 100 in²
The area of the cutout at each of the four corners is ...
A = s² = (3 in)² = 9 in²
So, the total area of the four cutouts is ...
cutout area = 4 × 9 in² = 36 in²
The remaining area is then ...
100 in² -36 in² = 64 in²
pls help ill give a hundred points. select the correct answer from the drop down menu A(1,3),B(5,3),and D(1,-2) are three vertices of rectangle ABCD the coordinates of vertex C are select from the drop down menu (5,2),(-5,1),(5,-2),(2, -5)
A(1,3),B(5,3),and D(1,-2) are three vertices of rectangle ABCD the coordinates of vertex C are select from the drop down menu (5,2),(-5,1),(5,-2),(2, -5)
Answer↷(5,-2)
Solution ↷we know that,
the midpoint of the diagonals of a rectangle bisect each other,
so,
MP of AC = MP of BD[tex] \huge \rightarrow \frac{x + 1}{2},\frac{y+ 3}{2} = \frac{5 + 1}{2},\frac{3 - 2}{2} \\ [/tex]
[tex] \huge \rightarrow \: x = 5 \: \\ \huge \rightarrow \: y = - 2[/tex]
Answer:
(5,-2)
Step-by-step explanation:
Cause me smart
Question is in the picture:
Answer:
its a cause you divide 6 on both sides and 48 divided by 6 is 8 and since its a greater than symbol and the numbers werent negative its gonna be a
Step-by-step explanation:
Answer:
A ) the Value of t is greater than 8
Step-by-step explanation:
6t>48
t>48/6
t>8
A flower pot is approximately in the shape off a cylinder. The diameter is 10 inches and the height is 6 inches. Find the surface area off the flower pot round to the nearest inch
The surface area of the cylindrical flower pot to the nearest inch is equal to [tex]346\;in^2[/tex]
Given the following data:
Diameter = 10 inches.
Height = 6 inches.
Radius = [tex]\frac{diameter}{2} =\frac{10}{2}[/tex] = 5 inches.
How to calculate surface area.Mathematically, the surface area (SA) of a cylinder is given by this formula:
[tex]S.A = 2\pi rh + 2\pi r^2[/tex]
Where:
h is the height.r is the radius.Substituting the given parameters into the formula, we have;
[tex]S.A = 2\pi (5)(6) + 2\pi (5)^2\\\\S.A =188.52+157.1 \\\\S.A = 345.62\\\\S.A=346\;in^2[/tex]
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Chloe has a part-time job at an ice skating rink selling hot cocoa. She decided to plot
the number of hot cocoas she sold relative to the day's high temperature and then
draw the line of best fit. What does the line's y-intercept represent?
Answer: a prediction of the number of hot cocoas sold when the temperature is 0F
Step-by-step explanation: i did it on delta math
The line's y-intercept represent ''Number of hot cocoas sold''.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Chloe has a part-time job at an ice skating rink selling hot cocoa.
She decided to plot the number of hot cocoas she sold relative to the day's high temperature and then draw the line of best fit.
Now,
Since, She decided to plot the number of hot cocoas she sold relative to the day's high temperature and then draw the line of best fit.
Hence, By the graph we have;
The line's x - intercept represent ''Temperature''.
And, The line's y-intercept represent ''Number of hot cocoas sold''.
Thus, The line's y-intercept represent ''Number of hot cocoas sold''.
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(2x-7)-(4x^2+6x-3)+(x^2+4)
Answer:
[tex]-3x^2-4x[/tex]
Step-by-step explanation:
Simplify:
[tex]\left(2x-7\right)-\left(4x^2+6x-3\right)+\left(x^2+4\right)[/tex]
[tex]=2x-7-\left(4x^2+6x-3\right)+x^2+4[/tex]
Group same factor:
[tex]=-\left(4x^2+6x-3\right)+x^2+2x-7+4[/tex]
Add :
[tex]=-\left(4x^2+6x-3\right)+x^2+2x-3[/tex]
Apply the distributive law: -(a+b) = -a - b
[tex]-\left(4x^2+6x-3\right)=-4x^2-6x+3[/tex]
[tex]=-4x^2-6x+3+x^2+2x-3[/tex]
Group same factor:
[tex]=-4x^2+x^2-6x+2x+3-3[/tex]
Subtract:
[tex]=-4x^2+x^2-6x+2x[/tex]
Add:
[tex]=-3x^2-6x+2x[/tex]
Group same factor:
[tex]=-3x^2-4x[/tex]
Hence answer = [tex]-3x^2-4x[/tex]
~lenvy~
please help!!!! what is the equation for this graph
Answer:
[tex]f(x)=\sqrt[3]{x-2} +1[/tex]
Step-by-step explanation:
Given function for graph: [tex]f(x)=1\sqrt[3]{x-h} +k[/tex]
where (h, k) is the midpoint of the curve.
Therefore, the parent function is [tex]f(x)=\sqrt[3]{x}[/tex]
[tex]f(x)=1\sqrt[3]{x-h} +k[/tex] can be obtained by translating [tex]f(x)=\sqrt[3]{x}[/tex] to [tex]h[/tex] units to the right and [tex]k[/tex] units up
The x and y intercept of [tex]f(x)=\sqrt[3]{x}[/tex] is the origin
Therefore, this graph has been translated 2 units to the right and 1 unit up.
Therefore, [tex]h=2[/tex] and [tex]k=1[/tex]
Substituting these values into the given function:
[tex]\implies f(x)=\sqrt[3]{x-2} +1[/tex]
What is the average rate of change for the table and graph below over the interval [0,3]?
Answer:
-2
Step-by-step explanation:
The average rate of change is the slope using the points (0, 10) and (3, 4). The slope is found using the formula [tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{4-10}{3-0}= \frac{-6}{3}=-2[/tex]