9514 1404 393
Answer:
7.0 cm
Step-by-step explanation:
The relationship between radius and area of a sphere is ...
A = 4πr²
Then the radius as a function of area is ...
r = √(A/(4π)) = (√(A/π))/2
For an area of 616 cm², the corresponding radius is ...
r = (√(616/π))/2 ≈ 7.0 cm . . . . radius of the orange
Hope you could understand.
If you have any query, feel free to ask.
Help with this please!
Answer:
A
Step-by-step explanation:
The correct answer is A
What is 10+2
Please I need help
Answer: 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Check the picture below
Help me determine Rise/run
Answer:
The dots shown on the graph have a rise of 6 and a run of 4 (so 6/4)
This fraction can be reduced so your answer is 3/2
write the following decimal number in word 0.969?
Answer:
nine hundred sixty
nine thousandths
Step-by-step explanation:
The length of a ladder leaning against a building is 60 feet. The ladder hits the building at the top of the building. The distance to the building from where the ladder touches the ground is 15 feet. What is the height of the building to the nearest foot?
A. 38ft
B. 48ft
C. 58ft
D. 68ft
Answer:
C. 58ft
Step-by-step explanation:
An imaginary triangle is described here. The hypotenuse is 60, and one of the other sides is 15.
60*60=3600
15*15=225
3600-225=3375
sqrt3375=58.09
round that to get 58ft
Which statements about the relationship between the two triangles below are true? Check all that apply,
Answer:
I don't know, because i really don't know
Anyone good with calculus? Please help.
First take a time derivative of a function describing motion,
[tex]\frac{d}{dt}h(t)=\frac{d}{dt}-4.9t^2+19.6t-14.6=-9.8t+19.6[/tex].
Finding the maxima of the function is obtained by determining where the critical points are. You can find the critical points by equating the derivative with 0 and solving for t,
[tex]\frac{d}{dt}h(t)=0[/tex]
[tex]-9.8t+19.6=0\implies t=\frac{19.6}{9.8}=\boxed{2}[/tex].
So at 2 seconds the ball peaks in height.
To find out the height feed 2 to the function h.
[tex]h(2)=-4.9\cdot2^2+19.6\cdot2-14.6=\boxed{5}[/tex].
So at 2 seconds the ball reaches maximum height of 5 meters.
Hope this helps :)
i will give brainliest!
Given a rhombus has a side length of 15 and one diagonal has a length of 2x. Find the length of the second diagonal in terms of x. Show all work and leave your answer in radical form.
9514 1404 393
Answer:
2√(225 -x²)
Step-by-step explanation:
Let 2y be the length of the second diagonal. The half-diagonals and the side of the rhombus form a right triangle. The Pythagorean theorem tells us the relationship between sides and hypotenuse is ...
x² +y² = 15²
y² = 225 -x²
2y = 2√(225 -x²2) . . . . the length of the second diagonal
n-1 increased by 110%
Answer:
2.1n-2.1
Step-by-step explanation:
The increase is
1.10 (n-1)= 1.1n -1.1
Add this to the original amount
(n-1) + 1.1n - 1.1
2.1n-2.1
does anyone know how to do this help please
Answer:
[tex]\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}[/tex]
Step-by-step explanation:
A quadratic function is given to us . And we need to fill out the table by using the function . The given function is ,
[tex]\rm\implies y = x^2+x - 6 [/tex]
Here we need to substitute the different values of x , to get the different values of y.
Put x = -3 :-
[tex]\rm\implies y = 3^2-3-6\\ [/tex]
[tex]\rm\implies y = 9 - 3 - 6 \\[/tex]
[tex]\rm\implies y = 0 [/tex]
Put x = -2 :-
[tex]\rm\implies y = 2^2-2-6\\ [/tex]
[tex]\rm\implies y = 4 -2-6\\[/tex]
[tex]\rm\implies y = -4 [/tex]
Put x = -1 :-
[tex]\rm\implies y = -1^2-1-6\\[/tex]
[tex]\rm\implies y = 1 -1-6 \\[/tex]
[tex]\rm\implies y = -6 [/tex]
Put x = 1 :-
[tex]\rm\implies y = 1^2+1-6\\ [/tex]
[tex]\rm\implies y = 2 -6[/tex]
[tex]\rm\implies y = -4[/tex]
Put x = 2 :-
[tex]\rm\implies y = 2^2+2-6\\ [/tex]
[tex]\rm\implies y = 4 +2-6\\ [/tex]
[tex]\rm\implies y = 2[/tex]
Put x = 3 :-
[tex]\rm\implies y = 3^2+3-6\\ [/tex]
[tex]\rm\implies y = 9 +3-6\\ [/tex]
[tex]\rm\implies y = 6 [/tex]
Final table :-
[tex]\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}[/tex]
Expand the following: 4(a + 3b - 5c).
Please help, I'm really struggling with expanding equations
Answer:
4a+12b-20c
Step-by-step explanation:
Use the distributive property, multiply the number on the outside to everythign on the inside.
4*a=4a
4*3b=12b
-5c*4=-20c
Find the intersection of the line and the circle given below
2x+y=-5
x^2+y^2=10
Answer:
There are two intersections.
(-3,1) and (-1,-3)
Step-by-step explanation:
Answer:
They intersect at (-3,1), and also (-1,-3)
Step-by-step explanation:
Graph:
How many pounds are in 2 tons, 800 pounds
Answer:
4,00 pounds
Step-by-step explanation:
Answer:
4,800 pounds
Step-by-step explanation:
2 tons = 4,000 pounds
800 pounds
4,000 + 800 =
4,800 pounds
Alonzo finish history assignment and 5/8 hours then he completed his math assignment and 1/3 hours what was the total amount of time allowed to spend doing these two assignments
Step-by-step explanation:
The answer is 5/8 + 1/3
Answer = 5*3 /(8*3) +8/24 =23/24
Answer = 23/24
when it is transformed to
What is the effect on the graph of f (2)
g(x) = 1 +112
A. The graph of f(x) is shifted 11 units to the left.
B. The graph of f(x) is shifted 11 units to the right.
C. The graph of f(x) is shifted 11 units up.
D. The graph of f(x) is shifted 11 units down.
Answer:
C. The graph of f(x) is shifted 11 units up.
Step-by-step explanation:
Given
[tex]g(x) = f(x) + 11[/tex]
Required
Interpret g(x)
When a function is shifted up in b units, the rule is:
[tex](x,y) \to (x,y+b)[/tex]
Replace b with 11
[tex](x,y) \to (x,y+11)[/tex]
Replace y with f(x)
[tex](x,f(x)) \to (x,f(x)+11)[/tex]
So, we have:
[tex]g(x) = f(x) + 11[/tex]
Hence; f(x) is shifted 11 units up.
The functions f and g are defined as follows.
f(x) =-2x+4
g(x) = 3x° +5
Find f(7) and g(-2).
Simplify your answers as much as possible.
Step-by-step explanation:
Substitute x=7in function f
Substitute x= - 2 in function g
f(7)= - 2(7)+4
= -10
g(-2)= 3(-3)+5
= - 4
Brainliest please~
Eileen is reading a novel for her library’s summer reading program. Which question can Eileen ask herself to best form a personal connection with the text?
A. What symbolism does this novel share with other novels I have read?
B. How do the facts in the text add to what I already know about my research topic?
C. What connections can I build between the themes in this text and other modern stories?
D. How do the struggles of the characters compare with challenges I have faced in my own life?
Answer:
Step-by-step explanation:
To begin with the answer. This is very personal, but I would choose D. I think you have to relate things to what you know. How do other people live through the same problem? Does the author believe that the best path has been chosen, or does he/she believe that the central character is doomed to failure? And how do these comments relate to me. You are going to get the most out of any novel when you can relate to the central character or any of the characters for that matter.
I'm not concerned with C. You can read trash and what they say is likely consistent but that only means that trash is pandering to a clientele that does not want to think much. Whatever spin you put on C, agreement is not a terrific thing. It does not make you think.
I suppose B is important if you are reading non fiction. I'm not answering it that way.
A: not the answer. This is a very remote connection. Most of the time symbolism is not the main attraction of any novel nor especially of any non fiction writing. Moby D*ick is not a great novel because of its symbolism of which there is a huge amount. It is a great novel because the conflict is between man and nature and although that is symbolic, it is not as important as the character study of Ahab (who is himself a symbol). Nor or Ishmael for that matter. I will admit you have to have a Bible in one hand and Moby Di*ck in the other, but it is not critical. The theme is.
Solve the equation for all values of xx.
−3x(x−3)(x 2 +16)=0
Answer:
x = 0 or x = 3
Step-by-step explanation:
-3x(x-3)(x^2+16)=0
3x = 0
x-3 = 0
x^2+16 =0 (not possible with real numbers)
x = 0, x= 3
Hence,
x = 0 or x =3
Feel free to mark this as brainliest :D
This is the question I am stuck on
Answer:
a^ 8 / b^12
Step-by-step explanation:
We know that x^y / x^z = x^ (y-z)
a^-5 b^-4
----------------
a^ -13 b^8
a^ (-5 - -13) b ^ (-4 -8)
a^ (-5+13) b^ (-4-8)
a^ 8 b^ (-12)
We know that x ^ - y = 1/ x^y
a^ 8 / b^12
A triangle is rotated 90º about the origin. Which rule describes the transformation?
please help me out! i absoluten don’t get this :(
Answer:
Option B
Step-by-step explanation:
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (-5, -2) and (3, -1) will be,
m = [tex]\frac{-1+2}{3+5}[/tex]
m = [tex]\frac{1}{8}[/tex]
Equation of the line passing through (h, k) and slope 'm' is given by,
y - k = m(x - h)
Therefore, equation of the line passing through (3, -1) and slope = [tex]\frac{1}{8}[/tex] will be,
[tex]y+1=\frac{1}{8}(x-3)[/tex]
[tex]y=\frac{1}{8}x-\frac{3}{8}-1[/tex]
[tex]y=\frac{1}{8}x-\frac{11}{8}[/tex]
Option B will be the answer.
25% of £90
Work it out
Answer:
22.5
Step-by-step explanation:
percent is any number over 100, so 25% is 25 over 100, this means that 25% can be written as:
25100
Now, any number in fractional form (a number over a number) is the same as division so 25% can also be written as a decimal, we just move the decimal point 2 places to the right of 25, like this:
25100=0.25
Now we have two ways that we can solve this problem! I'll start with the fractional method of solving.
. At a clothing store, 12 people purchased blue sweaters, 8 purchased green sweaters, 4 purchased gray sweaters, and 7 purchased black sweaters. If you select a customer at random, what is the probability that they purchased a green or a gray sweater
Answer:
The probability that they purchased a green or a gray sweater is [tex]\frac{12}{31}[/tex]
Step-by-step explanation:
Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.
[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]
The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:
P(A∪B)= P(A) + P(B) - P(A∩B)
Where:
P (A): probability of event A occurring.
P (B): probability that event B occurs.
P (A⋃B): probability that event A or event B occurs.
P (A⋂B): probability of event A and event B occurring at the same time.
Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)
In this case, being:
P(A)= the probability that they purchased a green sweaterP(B)= the probability that they purchased a gray sweaterMutually exclusive eventsYou know:
8 purchased green sweaters4 purchased gray sweatersnumber of possible cases= 12 + 8 + 4+ 7= 21So:
[tex]P(A)=\frac{8}{31}[/tex][tex]P(B)=\frac{4}{31}[/tex]P(A⋂B) = 0Then:
P(A∪B)= P(A) + P(B)
P(A∪B)= [tex]\frac{8}{31}+ \frac{4}{31}[/tex]
P(A∪B)= [tex]\frac{12}{31}[/tex]
The probability that they purchased a green or a gray sweater is [tex]\frac{12}{31}[/tex]
One month Ivanna rented 7 movies and 9 video games for a total of $80. The next month she rented 5 movies and 3 video games for a total of $34. Find the rental cost for each movie and each video game.
Answer:
each movie costs $2.75, each video game costs $6.75
Step-by-step explanation:
x = movies, y = video games
7x + 9y = 80
5x + 3y = 34
simplified to
x = 11/4 , y = 27/4
A telephone pole has a wire attached to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor point is 49 feet less than the height of the pole. If the wire is to be 14 feet longer than the height of the pole, what is the height of the pole?
9514 1404 393
Answer:
105 ft
Step-by-step explanation:
Let x represent the height of the pole. Then (x -49) is the distance from the pole to the anchor point, and (x+14) is the length of the wire from the top of the pole to the anchor point.
The Pythagorean theorem gives us the relation ...
(x +14)² = x² +(x -49)²
x² +28x +196 = x² +x² -98x +2401 . . . . eliminate parentheses
x² -126x +2205 = 0 . . . . . . . . put in standard form
x² -126x +3969 -1764 = 0 . . . . "complete the square)
(x -63) = ±√1764 . . . . . . add 1764, take the square root
x = 63 +42 = 105 . . . . . . highest value root. The pole must be higher than 49 feet
The height of the pole is 105 feet.
Plz help, fill in the blanks in order
A canoeist traveling with the current traveled the 24 miles between two riverside campsites in 2 hours. The return trip against the current took 3 hours. Find the speed of the canoeist in still water and the speed of the current, both in miles per hour.
Answer:
Speed of canoiest is 10 miles/hour.
Speed of current is 2 miles/hour.
Step-by-step explanation:
Let the speed of canoiest is v and the speed of current is u.
distance = speed x time
24 = (v + u ) x 2
v + u = 12 ..... (1)
Now
24 = (v- u) x 3
v - u = 8 .... (2)
By solving (1) and (2)
2 v = 20
v = 10 miles/hour
u = 2 miles/hour
HELP ME PLS!!!!!
Which of the following is | 5-12i |?
A) -√119
B) √119
C) −13
D)13
Answer:
D) 13
[tex]\sqrt{169} = 13[/tex]
Step-by-step explanation:
What is the length of Line segment A C? Round to the nearest tenth.
Triangle A B C is shown. Angle A C B is 90 degrees and angle B A C is 55 degrees. The length of C B is 15 meters.
10.5 m
12.3 m
18.3 m
21.4 m
Answer:
10.5
Step-by-step explanation:
In the picture if you think about it, it has to be a number less than 15 since CB is 15. I picked 12.3 and got it wrong therefore it has to be 10.5.
Answer:
A) 10.5
Step-by-step explanation:
A precise statement of the qualities of an idea, object, or process is called a
O A. theorem
O B. proof
C. definition
D. common notion
Answer:
C. definition
Step-by-step explanation:
A precise statement of the qualities of an idea, object, or process is called a definition. Hence, option (C) is answer.