Answer:
The radius of the ball is of 6 feet.
Step-by-step explanation:
The radius of the ball in spheric format is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
In which r is the radius.
A water-walking ball has a volume of approximately 904.32 cubic feet. What is the radius of the ball?
Volume in cubic feet, so the radius will be in feet. We have to find r for which [tex]V = 904.32[/tex]. So
[tex]V = \frac{4\pi r^3}{3}[/tex]
[tex]904.32 = \frac{4\pi r^3}{3}[/tex]
[tex]r^3 = \frac{904.32*3}{4\pi}[/tex]
[tex]r = \sqrt[3]{\frac{904.32*3}{4\pi}}[/tex]
[tex]r = 6[/tex]
The radius of the ball is of 6 feet.
you bought 12 red apples and 15 green apples to make a pie?
what is the ratio of the number of red apples to the total number of apples simplified?
Answer:
4:9
Step-by-step explanation:
12 red apples and 27 apples in total so it would be 12:27. Just divided it by 3
I think that's what the question is asking...
the angle of elevation from the bottom of the lift to the top of Snowbowl mountain is 33 degrees. If the height of the mountain is 544 meters, what is the length of a list from the bottom of a mountain to the top?
Answer:
Step-by-step explanation:
[tex]tan33=544/x\\ \\ x=\frac{544}{tan33}m\\ \\ x\approx 837.7m[/tex]
9514 1404 393
Answer:
999 meters
Step-by-step explanation:
The length of the lift line represents the hypotenuse of a right triangle. The side opposite the given angle is the height of the mountain. The applicable trig relation is ...
Sin = Opposite/Hypotenuse
We want to find the hypotenuse, so we use the rearranged form ...
hypotenuse = (mountain height)/sin(33°)
lift length = (544 m)/sin(33°) ≈ 998.83 m
The length of the lift from bottom to top is about 999 meters.
Which expression results from using the Distributive Property?
16. 3(6 +r)
A. 6+r
B. 6 + 3r
C. 181
D. 18 + 3r
Factor and simplify
sec⁴x-tan⁴x÷sec²x + tan²
X
Verify the identity
Answer:
1
Step-by-step explanation:
sec⁴x-tan⁴x÷sec²x + tan²X
= sec⁴x-tan⁴x/sec²x + tan²X
= (sec²x)²-(tan²x)²/sec²x + tan²X
Using the difference of two square
a² - b² = (a+b)(a-b)
(sec²x)²-(tan²x)² = (sec²x + tan²X)(sec²x - tan²X)
= (sec²x)²-(tan²x)²/sec²x + tan²X
= (sec²x + tan²X)(sec²x - tan²X)/sec²x + tan²X
= sec²x - tan²X
Also sec²X = 1 + tan²X
Substitute
= 1 + tan²X- tan²X
= 1
Hence the value of the expression is 1
Five times a number is 65. What is the number?
13
60
70
325
Answer:
13
Step-by-step explanation:
13*5=65
Answer:
13
Step-by-step explanation:
the other ones if you multiplyed they would go over the number
James got an 80 on a math test. By taking a retest in MLC, he increased his score by 15%. What
was his new score ?
Show work please
Answer:
Step-by-step explanation:
80x(1+0.15)=80x1.15
=92
PLSSS PLSSS I NEED HELPP
Answer:
Step-by-step explanation:
Perpendicular (p) = 8
base(b) = 7
Tan A = p/b
tan A = 8/7
A = tan ^-1(8/7)
A = 48.81°
b=3(3,1) find the equation
Answer:
Are you asking, given b = 3, write an equation that passes through the point (3,1)?
35% of students take spainsh or engineering. 30% of students take Spanish. 25% of students take engineering. What is the probability that a student takes Spanish and engineering?
Answer:
0.2 = 20% probability that a student takes Spanish and engineering
Step-by-step explanation:
We solve this question treating the probabilities as Venn sets.
I am going to say that:
Event A: Student takes Spanish
Event B: Student takes Engineering.
35% of students take spainsh or engineering.
This means that [tex]P(A \cup B) = 0.35[/tex]
30% of students take Spanish.
This means that [tex]P(A) = 0.3[/tex]
25% of students take engineering.
This means that [tex]P(B) = 0.25[/tex]
What is the probability that a student takes Spanish and engineering?
This is [tex]P(A \cap B)[/tex].
These probabilities are related by the following formula:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
Replacing the values
[tex]P(A \cap B) = 0.3 + 0.25 - 0.35 = 0.2[/tex]
0.2 = 20% probability that a student takes Spanish and engineering
Rhombus ABCD has vertices A(-1, -2), B(2,2), C(6,5), and D(3,1). The perimeter of the rhombus is
Answer:
The perimeter of the rhombus is approximately 19.999.
Step-by-step explanation:
First of all, we plot all points that constructs the rhombus, whose outcome is attached below. Diagonals of the rhombus are segments AC and BD, whose lengths are determined by Pythagorean Theorem:
Segment AC
[tex]AC = \sqrt{[6-(-1)]^{2}+[5-(-2)]^{2}}[/tex]
[tex]AC \approx 9.899[/tex]
Segment BD
[tex]BD = \sqrt{(3-2)^{2}+(1-2)^{2}}[/tex]
[tex]BD \approx 1.414[/tex]
The perimeter of the rhombus ([tex]p[/tex]) is calculated by the following equation:
[tex]p = 4\cdot \sqrt{\left(\frac{AC}{2} \right)^{2}+\left(\frac{BD}{2} \right)^{2}}[/tex]
[tex]p = 2\cdot \sqrt{AC^{2}+BD^{2}}[/tex]
[tex]p = 2\cdot \sqrt{9.899^{2}+1.414^{2}}[/tex]
[tex]p \approx 19.999[/tex]
The perimeter of the rhombus is approximately 19.999.
1) If Donkey Kong is on a bridge 638 feet in the air, 6 seconds after a shell
was released, which shell hit Donkey Kong and how do you know?
+
Answer:
5000inches
Step-by-step explanation:
i think is that!
You're a contestant on a TV gameshow where you must choose between four identical looking suitcases containing $100, $100, $300, and $400. You start by randomly picking one suitcase. The host then opens the remaining suitcase with the lowest dollar amount. Now, you have the choice to keep your current suitcase or switch to one of the two remaining suitcases. With probability p= 0.7, you keep your original suitcase and open it. Otherwise, you are equally likely to choose either of two the remaining suitcases and open it. You win the money in the suitcase you opened.
Consider these events:
Ai is the event that the first suitcase you choose is worth i dollars.
Hi is the event that the host opens a suitcase worth i dollars.
Wi is the event that you win i dollars.
If you play this game five times, the probability that the event W400 occurs twice in five trials is:_______
Answer:
0.2990 = 29.90%.
Step-by-step explanation:
For each trial, there are only two possible outcomes. Either you win $400, or you do not. Trials are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of winning $400 in a trial:
1/4 probability of choosing the suitcase containing $400, and in this case, 0.7 probability of keeping it.
3/4 probability of choosing another suitcase. Then, 0.3 of 3/4 probability of changing the suitcase, and 0.5 of 0.3 of 3/4 probability of getting the suitcase containing $400. So
[tex]p = \frac{1}{4}*0.7 + \frac{3}{4}*0.3*0.5 = 0.25*0.7 + 0.75*0.15 = 0.2875[/tex]
If you play this game five times, the probability that the event W400 occurs twice in five trials is:_______
This is P(X = 2) when n = 5. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.2875)^{2}.(0.7125)^{3} = 0.2990[/tex]
The probability is 0.2990 = 29.90%.
Casey has a litter of five puppies and four of them are gray at this rate how many puppies would be gray in a litter of 25 puppies?
Answer:
20
Step-by-step explanation:
calcule a área lateral de uma pirâmide regular quadrangular de altura 6 cm e área da base 64 cm2
Answer:
bam
Step-by-step explanation:
bam
Find angle picture below
Answer:
T=62
U=33
V=85
Step-by-step explanation:
-9.4 - 1.4b = b + 0.2
a) no solution
b) -6.7
c) 2.1
d) -4
Answer:
d) -4
Step-by-step explanation:
-9.4 - 2.4b = 0.2
-2.4b = 9.6
b = -4
good luck, i hope this helps :)
For the function f(x)=-7x-5, evaluate f(6)
Answer:
f(x)=-7x-5
f(6)=-7(6)-5
f(6)=-42-5
f(6)=-47
Simplify completely and find the restrictions on the variable.
Answer:
[tex]\displaystyle \frac{8}{x - 11}, x \neq 2, 11[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringAlgebra II
DiscontinuitiesDomain RestrictionsStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{8x - 16}{x^2 - 13x + 22}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{8(x - 2)}{x^2 - 13x + 22}[/tex][Fraction] Factor denominator: [tex]\displaystyle \frac{8(x - 2)}{(x - 11)(x - 2)}[/tex][Fraction] Divide: [tex]\displaystyle \frac{8}{x - 11}[/tex]We know that x cannot equal 11, because that would give us a divide by 0 error and we know that x cannot equal 2 because it was canceled out when simplifying.
how many seconds are there in 8 minutes 12seconds
Answer:
1 minute has 60 seconds
therefore 8 minutes will have 60 × 8 seconds = 480 seconds
480 + 12 = 492
hence 8 minutes 12 seconds will have 492 seconds
Answer: 492 seconds
Step-by-step explanation:
1min = 60sec
therefore, 8min 12sec = [8 x 60] + 12
= 480 + 12
= 492 sec
Hope it helped u,
pls mark as the brainliest - Ayaan707 for help :) -
^_^
there are 34 rose bushes currently in the park. Park workers will plant more rose bushes today. When the workers are finished there will be 70 rose bushes in the park. How many rose bushes did the workers plant today
Answer:
I think the answer is C
Step-by-step explanation:
Because they said there are 34 currently so if you add 36 or 34 to 70 it has to be C
Are these answers right
Look at pictures
Complementary angles
Answer:
1) correct
2) correct
3) incorrect, x = 11
4) incorrect, x = 50
Step-by-step explanation:
3) 90-35 = 5x
5x = 55
x = 11
4) 90-56 = (x-16)
x-16 = 34
x = 50
Answer:
Step-by-step explanation:
3) 5x + 35 = 90 {Complementary angles}
5x = 90 - 35
5x = 55
x = 55/5
x = 11
4) 56 +x - 16 = 90 {Complementary angles}
x + 40 = 90
x = 90 - 40
x = 50
What is the difference, in hours and minutes, between these times?
a)
13 40 and 17 15
hours
minutes
b)
11 25 and 14 10
hours
minutes
c)
2:50 am and 7:20 am
hours
minutes
d)
10:35 am and 2:40 pm
hours
minutes
Answer:
a) 3 hrs 35 mins
b) 2 hrs 45 mins
c) 4 hrs 30 mins
d) 4 hrs 5 mins
Step-by-step explanation:
The difference, in hours and minutes, between these times are;
a) 3 hrs 35 mins
b) 2 hrs 45 mins
c) 4 hrs 30 mins
d) 4 hrs 5 mins
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The difference, in hours and minutes, between these times can be calculated as;
a) 13 40 and 17 15
13 :40 - 17 : 15
= 3 hrs 35 mins
b) 11 :25 and 14: 10
11 :25 - 14: 10
= 2 hrs 45 mins
c) 2:50 am and 7:20 am
2:50 am - 7:20 am
= 4 hrs 30 mins
d) 10:35 am and 2:40 pm
10:35 am - 2:40 pm
= 4 hrs 5 mins
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
4 divided by 3.2 show work
To divide 4 by 3.2, we can use long division.
Here's the step-by-step process:
1.25
___________
3.2 | 4.00
3.2 (subtract 3.2 from 4.00)
_______
8
6.4 (bring down the 0)
_______
16
16 (subtract 16 from 16, no remainder)
_______
0
Therefore, 4 divided by 3.2 is equal to 1.25.
Learn more about Long division here:
https://brainly.com/question/29188115
#SPJ6
Describe the characteristics of metal in which metal converts into sheet.
Answer:
a solid material that is typically hard, shiny, malleable, fusible, and ductile, with good electrical and thermal conductivity ( iron, gold, silver, copper, and aluminum, and alloys such as brass and steel)
Step-by-step explanation:
What is the ratio of the number of students who sometimes watch sports to the total number of students surveyed?
Answer:
You need to provide an image or some sort of attachment, since there is no context to this question or any data one could answer off of.
Step-by-step explanation:
^
We roll two fair 6-sided dice. If a fair dice is rolled, the probability of it landing on any number between [1-6] is equi- probable (i.e., 1 6 ). (a) Find the probability that doubles are rolled. (Rolling doubles mean both dices land in the same number, e.g., 3 and 3.) (b) Given that the roll results in a sum of 6 or less, nd the conditional probability that doubles are rolled. (c) Find the probability that the larger of the two die's outcomes is at least 4.
Answer:
a.) [tex]\frac{1}{6}[/tex]
b.) [tex]\frac{3}{15}[/tex]
c.) [tex]\frac{27}{36}[/tex]
Step-by-step explanation:
Given - We roll two fair 6-sided dice. If a fair dice is rolled, the probability
of it landing on any number between [1-6] is equi- probable
(i.e., [tex]\frac{1}{6}[/tex]).
To find - (a) Find the probability that doubles are rolled.
(b) Given that the roll results in a sum of 6 or less, and
the conditional probability that doubles are rolled.
(c) Find the probability that the larger of the two die's outcomes
is at least 4.
Proof -
As given , two fair 6-sided dice is rolled.
The sample space is as follows :
S = { (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
Total number of outcomes = 36
a.)
Sample space that double are rolled = { (1, 1), ( 2, 2), ( 3, 3) , ( 4, 4), ( 5, 5), ( 6, 6) }
Total number of possible outcomes = 6
So, Probability = [tex]\frac{6}{36}[/tex] = [tex]\frac{1}{6}[/tex]
b.)
Sample space that roll shown sum of 6 or less = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (5, 1)}
Now,
Total outcomes = 15
Total possible outcome that doubles are rolled = 3 ( i.e (1,1), (2, 2), (3, 3) )
So, Probability = [tex]\frac{3}{15}[/tex]
c.)
Sample space that larger of the two die's outcomes is at least 4 = { (1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }
Total possible outcomes = 27
So, Probability = [tex]\frac{27}{36}[/tex]
what's 24 -3 (7-5) to the power of two over (+8) (-6) ÷ (+12)?
Answer:
45%
Step-by-step explanation:
45%
Mr Morris built a fence to enclose his yard he put 3/4 of the fence on Monday on Tusday he put up 1/6 of the fence and on wensday he put up the rest of the fence what portion of the fence on Wensday
Answer:Portion put up on Wednesday =1/12
Step-by-step explanation:
Since we are dealing with fraction
Let the total fence = 1 whole
such that fence put up on Monday = 3/4
and fence he put p on Tuesday = 1/6
Since he put up the rest on Wednesday, To find the portion put up we have that
Portion put up on Wednesday =Total portion of fence - ( Portion put up on Monday and Tuesday)
=1- ( 3/4 + 1/6)
= 1- 18+ 4/ 24
=1- 22/24
= 2/24
Portion put up on Wednesday =1/12
Answer:
Step-by-step explanation:
PLEASE HELP, I WILL MARK BRAINLIEST TO THE ONE WHO ANSWERS FIRST
The perimeter of the base of a square prism is 16cm. The height of the prism is 5 cm. Find the volume of the prism.
(Hint: use the perimeter to find the length of the side)
Answer: Down Below
Step-by-step explanation:
Surface Area(rectangular prism) = 192 cm^2
Area(square) = 16cm^2
Area(square) = LW or S^2
Area = 16cm^2
What is the y-intercept of the line with the equation 4y = -3x + 10?
Step-by-step explanation:
Given
4y = - 3x + 10
y = ( - 3x + 10 ) / 4
y = - 3/4 x + 10 / 4
y = - 3/4 x + 5 / 2
Comparing the given equation with y = mx +c Then
y - intercept (c) = 5/2
Hope it will help :)