Answer:
26 : 27Step-by-step explanation:
The volume of the pyramid with height of 6:
V = 1/3bh = 1/3b*6 = 2b,b is area of the baseThe volume of the smaller pyramid is:
V₁ = 1/3*b₁h₁We know:
h₁ = 6 - 4 = 2h₁/h = 2/6 = 1/3The base sides have same ratio as similar triangles.
b₁ = (1/3)²b= b/9The volume of smaller pyramid:
V₁ = 1/3*2*b/9 = 2b/27The difference of the volumes is the volume of the frustum:
V₂ = V - V₁V₂ = 2b - 2b/27 = 52b/27The ratio of V₂ to V is:
52b/27 ÷ 2b = 26/27Which expressions are equivalent to 616? Check all that apply.
(60) 10
(62)
(61) 16
Answer:
(6^-4)^-4, (6^-2)^-8, (6^8)^2
The expressions are equivalent to the given expression are (6²)⁸ and (6⁻⁴)⁻⁴. Therefore, options C and F are the correct answers.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is 6¹⁶.
Here, 6¹⁶=(6⁴)⁴
6¹⁶=(6²)⁸
6¹⁶=(6⁸)²
6¹⁶=(6⁻⁴)⁻⁴
Therefore, options C and F are the correct answers.
To learn more about an equivalent expression visit:
https://brainly.com/question/28170201.
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These box plots show the basketball scores for two teams.
A. The Wolverines' distribution is negatively skewed, but the
Panthers' distribution is symmetric.
O B. Both distributions are symmetric.
C. Both distributions are negatively skewed.
D. The Wolverines' distribution is positively skewed, but the Panthers'
distribution is symmetric.
Answer:
A. Wolverines distribution is negatively skewed but the Panthers distribution is symmetric
Step-by-step explanation:
Just finished it and got it right. Pls pls mark me brainless
A. The Wolverines' distribution is negatively skewed, but the Panthers' distribution is symmetric is the correct answer.
What is an example of a symmetric?Symmetric is something where one aspect is a reflected photo or reflection of the opposite. An instance of symmetric is if you have cabinets of precisely the same length and shape on both aspects of your fridge.
What is the difference between symmetry and symmetric?"Symmetrical" is a non-technical term, to describe any object that has symmetry; for example, a human face. "Symmetric" means "relating to symmetry", and is also used in a number of technical mathematical contexts (see Sam Lisi's comment under the question).
Learn more about Symmetric here https://brainly.com/question/1002723
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What is the structure of prokaryotic cells?
Step-by-step explanation:
The Prokaryotic Cell
Prokaryotes are unicellular organisms that lack organelles or other internal membrane-bound structures. Therefore, they do not have a nucleus, but, instead, generally have a single chromosome: a piece of circular, double-stranded DNA located in an area of the cell called the nucleoid.
Need help plzzzzz
.
.
.
Answer: 1
Step-by-step explanation: f(3) would be one because if you look at the table 1 is next to 3. I hope this helps!
The function y=(-1/2)x - 6 was the result of shifting the graph S units down. Find the following.
a.vertex
b.axis of symmetry
c.roots
Answer:
X is 9
axis 2 north
roots 2/1
(Middle schoolers!)
If you need help with Draw Inferences from Data I have everything you need!
Just ask the question then come to me and I can answer it for you!
This is for do you know/how do you understand!
Answer:
Ok! tysm!
Answer explanation:
A person invested $1,500 in an account growing at a rate allowing the money to
double every 12 years. How much money would be in the account after 15 years, to
the nearest dollar?
Becky wants to eat 1/4 of a small pumpkin pie. which if the following statements are correct? select all that apply
a) If she cuts the pie into 8 pieces of the same size, she should eat 2 pieces
b) If she cuts the pie into 10 pieces of the same size, she would eat 4 pieces
c) If she cuts the pie into 12 pieces of the same size, she should eat 3 pieces
-13 > x -43 solve the inequality and enter your solution as inequality comparing the variable to the solution
Answer:
30 > x
Step-by-step explanation:
-13 > x-43
-13 + 43 > x -43 + 43
30 > x
What is the value of y in the equation 9 + y = 8?
72
17
1
−1
y = -1
Get the variable on one side of the equation...
9 + y = 8
9 + y - 9 = 8 - 9
y = -1
Answer:
y = -1
Step-by-step explanation:
This is a one-step equation. All you have to do is subtract the 9 from the left side to move it to the right side. This would give you an answer of y = -1.
Find the missing term of the following sequence.
. . .-34,____, 77, . .
Answer:
21.5
Step-by-step explanation:
Just find the find the difference between 34 and 77 (even though 34 is a negative) then half the answer.
PLEASE HELP
How to do this
Suppose that a high school marching band has 125 members. Of these 125 band members, 41 are seniors, 24 play the trumpet, and 10 are seniors who play the trumpet.
What is the probability that a randomly selected band member plays the trumpet given that he or she is a senior?
Answer:
8%
Step-by-step explanation:
10/125 * 100% = 8%
What is the probability of picking a face card given that the card is a Jack?
Answer:
1/13
Step-by-step explanation:
there are 4 jacks in a deck of 52 cards
therefore probability of picking a jack:
4/52 = 1/13
Please help with this math question'
Answer:
The rocket's maximum height will be 1424 feet.
It will reach that height in 4 seconds.
It will reach the ground in 8 seconds.
Step-by-step explanation:
One easy way to find the peak is to find the derivative and solve for zero:
h(t) = -16t² + 128t + 1680
To find the derivative of each term in that format, you simply multiply the coefficient by the exponent, and reduce the exponent by one. In the case of terms with no variable, they disappear. That gives us:
h'(t) = -32t + 128
This derivative describes the rate of change of h with respect to t, so to find the peak, we simply need to solve it for zero:
0 = -32t + 128
32t = 128
t = 4
So the maximum height occurs when t = 4. Let's plug it in to the original equation:
h(t) = -16t² + 128t + 1680
h(4) = -256 + 512 + 1680
h(4) = 1424
So the rocket's maxiumum height is 1424 feet.
And we've already answered the second question, it happens at 4 seconds.
Also, the amount of time going up will be the same as the amount of time going down, which means that it will reach the ground in twice that time, or 8 seconds.
What is the value of x?
Answer:
Step-by-step explanation:
90 times 3 = 270
9x-3 + 6x + 48 = 270
add like terms, 48-3 = 45
9x + 6x + 45 = 270
subtract 45 both sides and add like terms again
15x = 225
divide 15 on both sides
x = 15
Find the area of the parallelogram
4 cm
7 cm
[?] cm2
Answer:
28cm^2
Step-by-step explanation:
Area = 4 x 7
=28
hope it helps u
solve r/13.7 = 5 for x
please help asap
Answer: x=68.5
Step-by-step explanation: You multiply 13.7 and 5 and you should get 68.5 as x.
HELP ASAP PLS DONT GUESS ANSWER QUESTION IN PIC PLS
Answer: It's C
Step-by-step explanation:
What's the equation of this sequence 4,8,16,32,64,128,256
Answer:
See below
Step-by-step explanation:
Here we have a function [tex]a[/tex] such that [tex]a: \mathbb{N}\to \mathbb{R}[/tex] and [tex]a:n \mapsto a(n) = a_n[/tex]
The sequence is denoted as [tex]$\{a_n\}_{n\in\mathbb{N}}$[/tex] such that [tex]\mathbb{N} = \{1, 2, 3, ...\}[/tex]
For this sequence, we would have
[tex]\left\{ {2^n\right\}_{n = 2}^8[/tex]
But sure it seems to follow
[tex]\left\{ {2^n\right\}_{n = 2}^\infty[/tex]
Answer:
The equation would be like :
2^(n+1)
Step-by-step explanation:
Hope this helps ;)
Good luck ^^
4500 people attended a football game. If 4% of the people who attended were teenagers, how many teenagers attended the game?
Answer:
180 teenagers were at the game
two supplementary angles have a ratio of 4:5 what is the measure of the larger angle?
Answer:
100°
Step-by-step explanation:
Supplementary means the sum of the angles is 180°
so we add 4+5 = 9
180/9 = 20
20 now we multiply according to the ratio
20x4:20x5
80:100
the measure of the largest is 100°
HELP PLZ IM IN A HURRY
Answer:
sorry 17.25 inches is the correct anser sorry answered it the wrong way did the wrong math formula
Step-by-step explanation:
Answer:
34.5
Step-by-step explanation:
there are two sides of a box! you multiply everything by 2 !
Brandon notice that he has more credits than Quentin who has 220 burlesque dance Rachel who has 260 .list three possible amount of credits Brandon could have
Answer:
Step-by-step explanation:
Let x and y be two positive numbers whose sum is 175 and (x+3)(y+4) is a maximum
Answer:
Step-by-step explanation:
x+y = 175
y = 175 - x
f(x) = (x+3)(y+4)
= x(175-x) + 3(175-x) + 4x + 12
= 175x - x² + 525 - 3x + 4x + 12
= -x² +176x + 537
f'(x) = -2x + 176
maximum when x = 88
y = 175-x = 87
A bug ran along the number line from -5 to 23. What distance did it cover? If the whole run took the bug 4 minutes, what was its average speed?
Answer:
Distance is 28, 7 units per minute.
Step-by-step explanation:
Explanation:
I would really appreciate it if someone could answer this I will give a brainlist:)
[tex]97.[/tex]
Step-by-step explanation:
By using Pythagoras theorem
AC² = AB² + BC².
Let AB = 72 and BC = 65.
AC² = 72² + 65²
AC² = 5184 + 4225
AC² = 9409.
AC = √9409
AC = 97.
6 + 3 (10× - 22) could someone please help me solve this
Answer:
x = -2
Step-by-step explanation:
6 + 3(10x-22)
3 * 10x = 30x
3 * -22 = -66
6 + 30x = -66
-66 + 6 = -60
30x = -60
-60/30 = -2
x = -2
A science teacher fills a spherical bubble
What is the exact value of sin(75°)?