Answer:
Step-by-step explanation:
area = (5x-3)² = (25x² - 30x + 9) cm²
What is the Median of this data set: 6, 10, 12, 5, 16, 11.
Answer: 10.5
Step-by-step explanation:
The median is the middle number in a data set, so in this set 5,6,10,11,12,16
the mean of 10 and 11 would be the median.
100 POINTS!!!!!
Two cylinders are similar with diameters 6 in and 9 in.
a. Find the ratio of the circumference of their bases
b. Find the ratio of the surface areas.
c. Find the ratio of the volumes.
Answer:
a. Ratio of their circumference = 2:3
b. The ratio of their surface areas = 2:3
c. The ratio of their volume = 4:9
Step-by-step explanation:
Let the cylinders be labelled as A and B respectively.
Diameter of cylinder A = 6 in,
its radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{6}{2}[/tex] = 3 in
Diameter of cylinder B = 9 in,
its radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{9}{2}[/tex] = 4.5 in
Thus,
a. circumference of a circle = 2[tex]\pi[/tex]r
Circumference of cylinder A = 2[tex]\pi[/tex]r
= 2 x [tex]\pi[/tex] x 3
= 6[tex]\pi[/tex] in
Circumference of cylinder B = 2[tex]\pi[/tex]r
= 2 x [tex]\pi[/tex] x 4.5
= 9[tex]\pi[/tex]
Ratio of their circumference = [tex]\frac{circumference of cylinder A}{circumference of cylinder B}[/tex]
= [tex]\frac{6\pi }{9\pi }[/tex]
= 2:3
b. The surface area of a cylinder = 2[tex]\pi[/tex]rh
the surface area of cylinder A = 2[tex]\pi[/tex]rh
= 6[tex]\pi[/tex]h
the surface area of cylinder B = 2[tex]\pi[/tex]rh
= 9[tex]\pi[/tex]h
The ratio of their surface areas = [tex]\frac{surface area of cylinder A}{surface area of cylinder B}[/tex]
= [tex]\frac{6\pi h}{9\pi h}[/tex]
= 2:3
c. Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
volume of cylinder A = [tex]\pi[/tex][tex]r^{2}[/tex]h
= [tex]\pi[/tex] x [tex]3^{2}[/tex] x h
= 9[tex]\pi[/tex]h
volume of cylinder b = [tex]\pi[/tex][tex]r^{2}[/tex]h
= [tex]\pi[/tex] x [tex]4.5^{2}[/tex] x h
= 20.25[tex]\pi[/tex]h
The ratio of their volume = [tex]\frac{volume of cylinder A}{volume of cylinder B}[/tex]
= [tex]\frac{9\pi h}{20.25\pi h}[/tex]
= 4:9
d=6in,9in
r=3in,4.5in
circumference:-
[tex]\\ \sf\longmapsto \dfrac{2\pi r_1}{2\pi r_2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6\pi}{9\pi}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto 2:3[/tex]
LSA:-
[tex]\\ \sf\longmapsto \dfrac{2\pi r_1h}{2\pi r_2h}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6}{9}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto 2:3[/tex]
TSA
[tex]\\ \sf\longmapsto \dfrac{2\pi r_1(h+r_1)}{2\pi r_2(h+r_2)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6(h+6)}{9(h+9)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6h+36}{9h+81}[/tex]
[tex]\\ \sf\longmapsto \dfrac{h(6+36)}{h(9+81)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{42}{90}[/tex]
[tex]\\ \sf\longmapsto \dfrac{7}{15}[/tex]
[tex]\\ \sf\longmapsto 7:15[/tex]
Volume:-
[tex]\\ \sf\longmapsto \dfrac{\pi r_1^2h}{\pi r_2^2h}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3^2}{4.5^2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{9}{20.25}[/tex]
[tex]\\ \sf\longmapsto 4:9[/tex]
What is the point-slope form of a line with slope 3/2 that contains the point
(-1, 2)?
Answer:
A. (y - 2) = 3/2 ( x + 1)
Explanation:
The point-slope formula is ( y - y1) = m ( x - x1). Just distribute the given where m is 3/2, x1 = - 1 and y1 = 2.
PLEASE HELP!!!! The problem is in the photo below
Answer:
105m by 105m
Step-by-step explanation:
multiply 7 x 15 to get 105.
Hope it helps!!! :)))
Genesis has an action figure collection. She keeps some in a display case and the rest on the wall. 253 of her action figures are on the wall, and 45% of her action figures are in the display case. What is the total number of action figures in Genesis's collection?
Answer:460
Step-by-step explanation:on delta math
The total number of action figures in Genesis's collection will be 460.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Genesis offers a variety of action figures. She hangs the remainder and keeps some in a display cabinet. 253 of her action figures are hung on the wall, and the display case holds 45% of her collection.
The obtained expression for the given condition,
=253 / (1-0.45)
=253/0.55
=25300/55
=460
Thus, the total number of action figures in Genesis's collection will be 460.
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PLEASE HURRY I WILL GIVE BRAINLEST Choose the equation that correctly shows the Commutative Property of Multiplication.
Answer:
You have it correct, it is the 3rd one.
Step-by-step explanation:
The commutative property is the equation, flip-flopped. So, if you had 1+8 = 8+1, that would be right.
Answer:
3rd one.....
Step-by-step explanation:
someone help meee nowww pleasee
Answer:
149.28 m²
Step-by-step explanation:
Bottom and two sides of the rectangle: 3x4x6=72
Two square ends of the rectangle: 2x4x4=32
Two triangular sides of the prism: 2x1/2x2x6=12
Back of prism: 2x4=8
Top of prism: 4x6.32=25.28
72+32+12+8+25.28=149.28
LAST ONE PLEASE :) thank you thank you
Answer:
163 I would think
Step-by-step explanation:
Help please !! due in 1 hour
In a room at a museum, we want to tile the floor. If the floor measures 15 feet by 55 feet, what is the largest-size square tile that we can use to tile the floor without having to cut tiles?
A) 11 ft by 11 ft
B) 5 ft by 11 ft
C) 5 ft by 3 ft
D) 3 ft by 3 ft
E) 11 ft by 3 ft
F) 5 ft by 5 ft
Answer:
B. 5 foot by 11 foot
the numbers have to be divisible in both directions.
11x11 doesn't work, because at 15 feet wide one tile isn't wide enough, and 2 is too wide.
5x11 works- 3x5= 15 and 11x5=55. you'd use 15 tiles.
the rest are all smaller.
Darren had 20 minutes to do a three-problem quiz. He spent 11
7
10
minutes on question A and 4
2
5
minutes on question B. How much time did he have left for question C?
Answer:
He had 5 minutes left for question C.
Step-by-step explanation:
20 minutes to do the quiz.
He spent:
11 minutes on question A
4 minutes of question B.
So, for the first 2 questions, he used 15 minutes.
How much time did he have left for question C?
Total of 20 minutes, in the first two questions he used 15. So
20 - 15 = 5
He had 5 minutes left for question C.
giving brainliest *easy*
Step-by-step explanation:
The formula is given by :
[tex]s=\dfrac{m}{360}\times 2\pi r[/tex]
We have,
m = 19° and d = 9 cm
So,
[tex]s=\dfrac{19}{360}\times 2\pi \times \dfrac{9}{2}\\\\s=1.49[/tex]
Hence, this is the required soltion.
John wants to earn $30. He already has $12. What percent is he at his goal?
Answer:
40%
Step-by-step explanation:
40%
---
hope it helps
I don't really know how to explain sorry
35. Para pintar una casa se mezclaron 5/4 L do pintura blanca y 1/2 L de pintura azul. Al final solo se emplearon 213 L de la mezda,
¿cuántos litros de pintura sobraron?
Answer:
Total paint left over = [tex]\frac{13}{12}L[/tex]
Step-by-step explanation:
Given - To paint a house, 5/4 L of white paint and 1/2 L of blue paint
were mixed. In the end only 2/3 L of the mixture were used.
To find - How many liters of paint were left over ?
Proof -
Given that,
5/4 L of white paint and 1/2 L of blue paint were mixed.
So, total mixture = [tex](\frac{5}{4} + \frac{1}{2})L[/tex]
= [tex]\frac{5 + 2}{4}L[/tex]
= [tex]\frac{7}{4}L[/tex]
⇒Total mixture = [tex]\frac{7}{4}L[/tex]
Now,
Given that ,
In the end only 2/3 L of the mixture were used.
So, total mixture left = [tex](\frac{7}{4} - \frac{2}{3})L[/tex]
= [tex]\frac{21 - 8}{12}L[/tex]
= [tex]\frac{13}{12}L[/tex]
∴ we get
Total paint left over = [tex]\frac{13}{12}L[/tex]
3^2x+1 +9 = 3^x+3 +3^3
Answer:
-4
Step-by-step explanation:
Since they all have the same base;
2x+1+9=x+3+32x-x=3+3-1-9x=6-1-9x=6-10x=-4PLEASE HELP DUE TODAYYYY ..100 PTS!
Answer:
i got 65.8/9. i hope this is correct , if not, i wish you the besy<3
Answer:
62.7
Step-by-step explanation:
please help me i really need help please
Answer:
d
Step-by-step explanation:
(2,2) and (2,-2) slope?
Answer:
Undefined.
Step-by-step explanation:
Slope is equal to the change in y over the change is x, or rise over run.
[tex]m=\frac{change in y }{ change in x}[/tex]
The change in x is equal to the difference in x-coordinates, and the chnage in y is equal to the difference in y-coordinates.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Substitute in the values of x and y into the equation to find the slope.
[tex]m= \frac{-2-(2)}{2-(2)}[/tex]
Simplify it. since -2-(2) and 2-(2) = nothing, the Slope is Undefined.
Hence, the slope is Undefined.
Answer:
Undefined
Step-by-step explanation:
Hope this helps
helpp me plzzzzzz plzz
Answer:
I would help but I don’t know what all of those symbols are.
What is the area of the triangle?
y’ =2x - 3y + 1,y(1) = 5; y(1.2)
Applying Euler's method:
Let f(x, y) = 2x - 3y + 1, and consider the following recurrence relations:
[tex]\begin{cases}x_0=1\\x_n=x_{n-1}+h&\text{for }n\ge1\end{cases}[/tex]
[tex]\begin{cases}y_0=5\\y_n=y_{n-1}+f(x_n,y_n)h&\text{for }n\ge1\end{cases}[/tex]
For step size h = 0.1, we can approximate y (1.2) with just 2 steps:
[tex]\begin{cases}x_0=1\\y_0=5\end{cases}\implies y_1=5+f(1,5)\times0.1=3.8[/tex]
[tex]\begin{cases}x_1=1+0.1=1.1\\y_1=3.8\end{cases}\implies y_2=3.8+f(1.1,3.8)\times0.1=\boxed{2.98}[/tex]
For step size h = 0.05, we need 4 steps:
[tex]\begin{cases}x_0=1\\y_0=5\end{cases}\implies y_1=5+f(1,5)\times0.05=4.4[/tex]
[tex]\begin{cases}x_1=1+0.05=1.05\\y_1=4.4\end{cases}\implies y_2=4.4+f(1.05,4.4)\times0.05=3.895[/tex]
[tex]\begin{cases}x_2=1.05+0.05=1.1\\y_2=3.895\end{cases}\implies y_3=3.895+f(1.1,3.895)\times0.05=3.47075[/tex]
[tex]\begin{cases}x_3=1.1+0.05=1.15\\y_3=3.47075\end{cases}\implies y_4=3.47075+f(1.15,3.47075)\times0.05\approx\boxed{3.1151375}[/tex]
(Compare these to the value of y (1.2) found using the exact solution to the differential equation, about 3.22832.)
Which expression is equivalent to tan(x – pi)?
Answer:
it's b
Step-by-step explanation:
correct on edge!
The equivalent expression is tanx.
We have given that,
tan(x – pi)
We have to determine the expression equivalent to the given expression
What is the tan ratio?tan(x)=sinx/cosx
[tex]=\frac{\sin \left(x\right)}{\cos \left(x\right)}[/tex]
[tex]=\tan \left(x\right)[/tex]
Therefore the equivalent expression is tanx.
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Dr. Toliver has 6 fossils.
Dr. Cook has 5 times as many fossils as Dr. Maranan.
They have 90 fossils altogether. How many fossils does Dr. Maranan have?
Copyright 2020 Edmentum, Inc. All Rights Reserved
(hp
Answer:
dude 30 fossils are left
Step-by-step explanation:
Which three lengths can NOT be the lengths of the sides of a triangle?
A.23 m, 17 m, 14 m
B. 5m, 7m, 8m
C. 21m, 6m, 10m
D.11 m, 11 m, 12 m
Answer:
C. 21m, 6cm, 10m
Step-by-step explanation:
4+5[tex]4+5\frac{x}{y} 3x^{2} - 3x^{2}[/tex]
Answer:
[tex]58 + \frac{ {15x}^{3} }{y} - {3x}^{2} [/tex]
Step-by-step explanation:
1) Use this rule: a/b × c/d = ac/bd.
[tex]4 + 54 + \frac{5x \times {3x}^{2} }{y} - {3x}^{2} [/tex]
2) Take out the constants.
[tex]4+54 + \frac{(5 \times 3) {xx}^{2} }{y} - {3x}^{2} [/tex]
3) Simplify 5 × 3 to 15.
[tex]4 + 54 + \frac{ {15xx}^{2} }{y} - {3x}^{2} [/tex]
4) Use the product rule: x^a x^b = x^a + b.
[tex]4 + 54 + \frac{15xx^{2} }{y} - 3x^{2} [/tex]
5) Simplify 1 + 2 to 3.
[tex]4 + 54 + \frac{15 {x}^{3} }{y} - {3x}^{2} [/tex]
6) Collect like terms.
[tex](4 + 54) + \frac{15 {x}^{3} }{y} - {3x}^{2} [/tex]
7) Simplify.
[tex]58 + \frac{ {15x}^{3} }{y} - {3x}^{2} [/tex]
Therefor, the answer is 58 + 15x³ / y - 3x².
Please help need answer today!!
Maribella buys 5 pounds of white potatoes and as many pounds of sweet potatoes. How many pounds of sweet potatoes does she buy? Use
paper to model the problem with a tape diagram. In the boxes below, express your answer as a both a fraction greater than one and a mixed
number.
Mixed Number: Maribella buys
pounds of sweet potatoes.
Fraction Greater than One: Maribella buys
pounds of sweet potatoes.
Answer:
She buys 5 pounds of sweet potatoes.
Step-by-step explanation:
Assume that when adults with smartphones are randomly selected, 64% use them in meetings or classes. If 5 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetings or classes. The probability is (Round to four decimal places as needed.)
Answer:
[tex]P(3) = 0.3397[/tex]
Step-by-step explanation:
The given details represent binomial distribution. So, we have:
[tex]n = 5[/tex]
[tex]p = 64\% = 0.64[/tex]
Required
Calculate P(3)
This is calculated using:
[tex]P(x) = ^nC_x * p^x * (1- p)^{n-x}[/tex]
This gives:
[tex]P(3) = ^5C_3 * 0.64^3 * (1- 0.64)^{5-3}[/tex]
[tex]P(3) = 10 * 0.64^3 * 0.36^2[/tex]
[tex]P(3) = 0.3397[/tex]
Find the volume of the cube whose side length is 6cm
Answer:
volume for cube = length cubed I.e. 6x6×6 = 216
The following tables represent a function and its inverse.
Compare the functions.
h(x)
Which statements describe the functions? Check all
that apply.
х
-4
-2
0
N
4
y
-6
1
6
11
16
The domain of h-1(x) is the range of h(x).
The range of h-l(x) is the range of h(x).
The x-intercept of h-1(x) is the x-intercept of h(x).
The x-coordinate of the x-intercept of h-1(x) is the y-
coordinate of the y-intercept of h(x).
The maximum of h(x) is the largest x-value of
h-4(x).
х
1
6.
11
16
y
-4
-2
0
2
4.
Intro
Answer:
These are all that apply
- The domain of h-1(x) is the rand of h(x)
- The x-coordinate of the x-intercept of h-1(x) is the y- coordinate of the y-intercept of h(x).
- The maximum of h(x) is the largest x-value of h-4(x).
Step-by-step explanation:
The correct statements describing the given functions are -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given are the functions. It is asked to identify the statements that describe these functions.
The given functions are h(x) and its inverse h⁻¹(x). For the given functions, as we can see in the table, the following statements are true -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).Therefore, the correct statements describing the given functions are -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).To solve more questions on functions, visit the link below-
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What is the answer and the work i have to do to get to it
Answer:
B
Step-by-step explanation: