Answer:
The new volume is 7^3 or 343 times the old volume
Step-by-step explanation:
The original sphere has a volume of
V = 4/3 pi r^3
The radius is multiplied by 7
The new volume is
V = 4/3 pi (7r) ^3
V = 4/3 pi (7)^3 r^3
The new volume is 7^3 or 343 times the old volume
On the spinner, the probability of landing on black is 1/2 , and the probability of landing on red is 1/3. Create a probability distribution for the experiment of spinning the spinner.
Answer:
1) [tex] p_i \geq 0 , \forall i[/tex]
2)[tex] \sum_{i=1}^n P_i = 1, i =1,2,...,n[/tex]
And for this case we have:
[tex] \frac{1}{2}+\frac{1}{6}= \frac{2}{3}[/tex]
By the complement rule we can find the probability that the spinner land in a non black or red space:
[tex]p(N) = 1- \frac{1}{2} -\frac{1}{3}= \frac{1}{6}[/tex]
And then the probability distribution would be:
Color Red Black N
Prob. 1/3 1/2 1/6
Step-by-step explanation:
For this case we have two possible outcomes for the spinner experiment:
[tex] p(black) =\frac{1}{2}[/tex]
[tex] p(red) = \frac{1}{3}[/tex]
In order to have a probability distribution we need to satisfy two conditions:
1) [tex] p_i \geq 0 , \forall i[/tex]
2)[tex] \sum_{i=1}^n P_i = 1, i =1,2,...,n[/tex]
And for this case we have:
[tex] \frac{1}{2}+\frac{1}{6}= \frac{2}{3}[/tex]
By the complement rule we can find the probability that the spinner land in a non black or red space:
[tex]p(N) = 1- \frac{1}{2} -\frac{1}{3}= \frac{1}{6}[/tex]
And then the probability distribution would be:
Color Red Black N
Prob. 1/3 1/2 1/6
Answer:
1/27
Step-by-step explanation:
3x0? plz halp... I don't understant
Answer: 0 ok
Step-by-step explanation: please I want to be brainliest
What is the area of the triangle below?
Answer:l think it's 6
Step-by-step explanation:
You 1/2×4×3
=6
Carlos took a test and made a 50. On the next test, he made a 75. What is the percentage of change between the two test scores?
150% increase
50% increase
150% decrease
50% decrease
Select all the expressions which are equivalent to
-4/3p - 2/5
An expression is defined as a set of numbers, variables, and mathematical operations. The correct options are B and D.
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression that are equivalent to -4/3p - 2/5 are:
-2/5 -4/3p-4/3p + (-2/5)Hence, the correct options are B and D.
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Solve the equation in the image
Answer:
x = 70
Step-by-step explanation:
[tex] \sqrt{x - 6} = 8 \\ squaring \: both \: sides \\ {( \sqrt{x - 6)} }^{2} = {8}^{2} \\ x - 6 = 64 \\ x = 64 + 6 \\ \huge \red{ \boxed{ x = 70 }}\\ [/tex]
Answer:
Step-by-step explanation:
[tex]\sqrt{x-6}=8[/tex]
Take square,
[tex](\sqrt{x-6})^{2}=8^{2}\\\\x-6=64\\\\[/tex]
Add 6 to both sides,
x - 6 + 6 = 64+6
x = 70
Amelia earns $32.00 per hour at her job. How much money will Amelia earn if she works for 6.5 hours?
Answer:
She would earn 208 dollars
Step-by-step explanation:
Answer:
She would earn $208
Step-by-step explanation:
if she gets $32 per hr then all u gotta do is multiply 32 nd 6.5
The first company charges 6500 to rent trucks plus an additional fee of 125.50 for each ton of sugar. The second company charges 5597 to rent trucks plus an additional fee of 200.75 for each ton of sugar. For what amount of sugar do the two companies charge the same? What is the cost when the two companies charge the same?
Answer:
a. 12
b. 8006
Step-by-step explanation:
We have company A, which is determined with the following equation:
A = 6500 + 125.5 * x
where x is the amount of ton of sugar
Same for company B:
B = 5597 + 200.7 * x
We want to know when A = B are equal, therefore:
6500 + 125.5 * x = 5597 + 200.7 * x
200.75 * x - 125.5 * x = 6500 - 5597
75.25 * x = 903
x = 903 / 75.25
x = 12
That is to say that when they are 12 tons of sugar they charge the same.
To know how much the value would be:
A = 6500 + 125.5 * 12 = 8006
B = 5597 + 200.75 * 12 = 8006
That is to say that the value when it is equal is 8006
What is the surface area of a cube in which each face of the cube has an area of 7 cm??
Answer:
42
Step-by-step explanation:
6 faces to a cube
each face has area of 7
6*7 is 42
Answer:
42 is correct
Step-by-step explanation:
give the other person brainliest
I need help with these plzzz
Answer:
1. C 2. B
Step-by-step explanation:
1. find the total circumference, d times pi, then put 42 over 360 and multiply them to get that section
2. The actual value of x is 33.2
So I plugged in that value for all of them
A triangle has sides with lengths of 8 centimeters, 14 centimeters, and 16 centimeters. Is it a right triangle?
Answer:
No, the triangle is not a right triangle
Step-by-step explanation:
In this question, we are asked to determine if the triangle having the lengths given in the question is a right triangle.
To answer this question, we need to take into consideration a very important property of right angle triangles.
The property is that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two other sides
The hypotenuse is the one with the longest length. Thus, the hypotenuse here is 16 centimeters.
Now let’s have the squares!
The square of the hypotenuse is 16 * 16 = 256
Let’s sum the squares of the other two sides;
(8 * 8) + ( 14 * 14) = 64 + 196 = 260
These squares are not equal so we can conclude that the triangle is not a right triangle
Which is a reasonable first step that can be used to solve the equation 2(x + 6) = 3(x - 4) + 5?
Combine like terms, 3 and 5, on the right side of the equation.
Distribute 2 to x on the left side of the equation and 3 to x on the right of the equation.
Distribute 2 to (x + 6) and 3 to (X - 4)
Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side.
Answer:
Distribute 2 to (x+6) and 3 to (x-4)
Step-by-step explanation:
The first thing you need to do when solving an equation with parenthesis is to always simplify the expression first before solving. This makes it easier to solve the equation.
Find the surface area of the prism. Write your answer as a fraction or mixed number.
Answer:
2⅔ ft²
Step-by-step explanation:
A cube has 6 square faces
6 × (⅔)²
6 × 4/9
8/3
2⅔
Answer:
[tex] 2\frac{2}{3} {ft}^{2} [/tex]
The two-way table of column relative frequencies below shows data on whether or not a person has internet access and their preferred method to communicate with friends.
Based on the data, which of the following statements must be true?
(Choice A)
A person who prefers to communicate with friends in person is more likely to have no internet access than to have internet access.
(Choice B)
A person with internet access is more likely than a person without internet access to prefer the wired telephone to communicate with their friends.
(Choice C)
A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends.
(Choice D)
More people without internet access prefer using social networking than people with internet access.
Answer: c
Step-by-step explanation: 54% of people with internet access prefer text messaging, while only 31% of people without internet access prefer text messaging.
Based on the data, Option (c) statements must be true. "A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends."
What is internet speed?It is Mbps or kbps of data packets that can be transferred within a specified time.
Because 54% of the people who have internet access uses the text messaging method While 31 % people with no internet access uses the text messaging method.Thus A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends.Learn more about internet speed,
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Explain the Pythagorean theorem.
A. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is greater than the square of its hypotenuse.
B. The Pythagorean theorem states that if the square of one side of a triangle is less
than the sum of the squares of the other two sides, then the triangle is a right triangle.
C. The Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs equals the square of its hypotenuse.
D. The Pythagorean theorem states that if the square of one side of a triangle is greater than the sum of the squares of the other two sides, then the triangle is a right triangle.
Answer:
I believe the answer is C
Step-by-step explanation:
Hope this helps you out!
Answer:
Step-by-step explanation:
c
Using a fair, six-sided die, what is P(2 or 3)?
The result for the survey of 120 students who were selected randomly is listed below. The total population of students was 380. 66 students ride the yellow bus 24 students ride the city bus 30 students do not ride a bus . Based on the data, what is the best approximate for the total number Of students who ride the city bus?
Answer: 76 students
Step-by-step explanation:
Number of students surveyed = 120
Students who 66 ride yellow bus= 66
Students ride city bus = 24
Students who do not ride a bus = 30.
The fraction of students who ride the city bus will be:
= 24/120
= 1/5
Since the total population of the students is 380, the qpproximate for the total number of students that ride the city bus will be:
= 1/5 × 380
= 76 students
plzzzzzzzzzzzzzzzzzzzz
Answer:
B
Step-by-step explanation:
I graphed the equation, and the highest point was at 3.7 feet in the air, 4 seconds into the flight. See the graph below. Hope this helps!
About 3.3 × 106 students graduated from high school last year. If 0.66 of those graduates enrolled in college, approximately how many students enrolled in college?
Answer:
About 231 students enrolled
Step-by-step explanation:
3.3 times 106 is about 349.8 students that graduated.
0.66 percent graduated right? So multiply 349.8 times 0.66 to get 230.868
What is the value of x in the equation in (x+6)- in (2x-1)
Answer:
x = 7
Step-by-step explanation:
(x + 6) - (2x-1)
= x - 2x + 6 + 1
= -x + 7
x = 7
It costs 31.25 for 1 box of candy and 4 large bags of popcorn at a movie theatre. For 3 boxes of candy and 5 large bags of popcorn it costs 46.50 how much does 1 bag of popcorn cost
Answer:
$6.75
Step-by-step explanation:
$31.25 = C + 4B C for box of candy and B for large bags of popcorn
$46.50 = 3C + 5B
3($31.25 = C + 4B)
$93.75 = 3C + 12B
-46.50. -3C. -5B
$47.25 = 7B
÷7. ÷7
$6.75. = B
which of these numbers are prime 29,33,51,65,70
Answer:
29 and 51
Step-by-step explanation:
29 and 51 are prime because the only factors of them are the numbers themselves and 1.
29/1 = 29 51/1 = 51
The composite numbers are 33, 65, and 70 because they have more than one factor.
33/3 = 11 65/5 = 13 70/10 = 7
If this answer is correct, please make me Brainliest!
PLEASE HELP THIS IS DUE!!!!!
Answer:
what are we supposed to answer
Step-by-step explanation:
Answer:
idk
Step-by-step explanation:
there is nothing there
5.Gabby is fishing from a small boat. Her fishing hook is 36 feet below her, and a fish is swimming at the same depth as the hook, 77 feet away. How far away is Gabby from the fish?
Answer:
113 feet away
Step-by-step explanation:
This one is just simple maths! 36 + 77.
Hava a great day!
Caleb’s puppy weighs 2,250 grams. If the puppy weighed 600 grams at his last visit to the veterinarian’s office, what is the percent increase in the puppy’s weight rounded to the nearest whole number? Enter your answer in the box.
Answer:
[tex]73\%[/tex]
Step-by-step explanation:
Given: Present weight of Caleb’s puppy = 2,250 grams
Puppy weighed 600 grams at his last visit to the veterinarian’s office.
To find: percent increase in the puppy’s weight rounded to the nearest whole number
Solution:
Increase in puppy's weight = 2250 - 600 = 1650 grams
Percent increase in the puppy’s weight =( Increase in puppy's weight/Present weight of Caleb’s puppy) × 100 = [tex]\frac{1650}{2250}(100)=73.33 \%[/tex]
[tex]73.33\%[/tex] is rounded to [tex]73\%[/tex]
•
Suppose you had 28 baskets of 6 apples and 5 baskets of 9 apples.
How could you quickly figure out how many baskets of 3 apples you could create?
Answer:
71 baskets of 3 apples.
Step-by-step explanation:
From each of the 28 baskets of 6 you can get 6/3 = 2 baskets of 3.
From each of the 5 baskets you can get 9/3 = 3 baskets of 3.
Therefore:-
From the 28 baskets you can create 28 * 2 = 56 baskets of 3.
From the 5 baskets of 9 you can get 5 * 3 = 15 baskets of 3.
Total 15 + 56 = 71.
A family fair went to the fair and paid $24 for 2 adult tickets and 2 youth tickets. A youth ticket is half the price of an adult ticket. How much did a youth ticket cost?
Answer:
Youth tickets = $4
Step-by-step explanation:
Let x and y represent the price of adults and youth tickets respectively;
Given;
A youth ticket is half the price of an adult ticket
y = 0.5x ......1
They paid $24 for 2 adult tickets and 2 youth tickets.
2y + 2x = 24 ......2
Substituting equation 1 into 2;
2(0.5x) + 2x = 24
x + 2x = 24
3x = 25
x = 24/3 = 8
Since, y = 0.5x
y = 0.5(8) = 4
Adult tickets = $8
Youth tickets = $4
)) A triangle has sides with lengths of 5 inches, 12 inches, and 13 inches. Is it a right
triangle?
yes
no
Answer:Yes
Step-by-step explanation:
Given
Triangle has sides
length [tex]a=5\ in.[/tex]
[tex]b=12\ in.[/tex]
[tex]c=13\ in.[/tex]
If the triangle is Right angled then it must satisfy the Pythagoras rule
[tex](\text{Perpendicular})^2+(\text{base})^2=(\text{Hypotenuse})^2[/tex]
[tex](a)^2+(b)^2=(c)^2[/tex]
[tex]5^2+12^2=13^2[/tex]
[tex]25+144=13^2[/tex]
[tex]169=13^2[/tex]
[tex]13^2=13^2[/tex]
Therefore The given triangle is right angled
A commercial airplane travels 5,000 feet east and then ascends 3,000 feet from its starting point in the sky. Upon noticing a severe storm system on the horizon, the pilot decides to return to the starting point. A) how much distance does the plane have to travel to turn back? B) at what angle would the plane need to travel to return to its starting point. (1,000 feet = 1 unit)
Answer:
A) 5830.95 B)59.04
Step-by-step explanation:
Solve for the hypotenuse of 5,000 and 3,000
Use tangent to find the angle
tanx = 5,000/3,000
x=59.04
The distance the plane has to travel to turn back is 5830.95 km.
The angle would the plane need to travel to return to its starting point is 59.04°
How to find the distance?Solve for the hypotenuse of 5,000 and 3,000
Use tangent to find the angle
tanx = 5,000/3,000
x = 59.04
Height is the size of an object in the vertical course and distance is the measurement of an object from a specific factor in the horizontal route.
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3. What is the solution of the system of equations 3x +2y =10 and – 6x – y=-14?
Answer:
x=2 y=2
Step-by-step explanation:
Rewrite equations:
−6x−y=−14;3x+2y=10
Step: Solve−6x−y=−14for y:
−6x−y=−14
−6x−y+6x=−14+6x(Add 6x to both sides)
−y=6x−14
−y
−1
=
6x−14
−1
(Divide both sides by -1)
y=−6x+14
Step: Substitute−6x+14foryin3x+2y=10:
3x+2y=10
3x+2(−6x+14)=10
−9x+28=10(Simplify both sides of the equation)
−9x+28+−28=10+−28(Add -28 to both sides)
−9x=−18
−9x
−9
=
−18
−9
(Divide both sides by -9)
x=2
