Answer:
So like 8, 16, 24, 32, 40, 48...
Step-by-step explanation:
Here are two spheres, with
radii 3 cm and 4.5 cm
respectively. The surface
area of the smaller sphere is
367 cm. What is the surface
area of the larger sphere?
4.6 cm
3 cm
A) 417 cm2
C) 817 cm2
B) 547 cm2
D) 121.57 cm2
Given:
Radii of two spheres are 3 cm and 4.5 cm respectively.
Surface area of the smaller sphere is 367 cm.
To find:
The surface area of the larger sphere.
Solution:
We know that, area of similar spheres is proportional to the square of there radii.
[tex]\dfrac{A_1}{A_2}=\dfrac{(r_1)^2}{(r_2)^2}[/tex]
On substituting the values, we get
[tex]\dfrac{367}{A_2}=\dfrac{(3)^2}{(4.5)^2}[/tex]
[tex]\dfrac{367}{A_2}=\dfrac{9}{20.25}[/tex]
On cross multiplication, we get
[tex](367)(20.25)=9A_2[/tex]
[tex]7431.75=9A_2[/tex]
Divide both sides by 9.
[tex]\dfrac{7431.75}{9}=A_2[/tex]
[tex]825.75 =A_2[/tex]
Therefore, the area of larger sphere is 825.75 cm².
Note: All options are incorrect.
Garrett wants to bake a blueberry pie. At the market, blueberries cost $1.90 per pound. If he pays $4.75 for blueberries, how many pounds does he buy?
Answer:
Step-by-step explanation:
Number of pounds for 4.75 = 4.75 ÷ 1.90 = 2.5 pounds
five more than 3 times a number
Answer:
3x+5
Step-by-step explanation:
Let number =X
So
Five more than 3 times a number
3x+5
Raul opened a savings account with $4800. Each week, d, Raul pays the dog sitter $20 from his savings account. Write a function, f(d) , that is equal to the amount of money in the account after Raul pays the dog sitter each week.
Answer:
The function is: f(d)=4800-20d
Step-by-step explanation:
With the information provided, the function to calculate the amount of money in the account after Raul pays the dog sitter each week would be equal to the amount he used to open the savings account minus the result of multiplying the amount he pays the dog sitter each week for the number of weeks:
f(d)=4800-20d
According to this, the answer is that the function is: f(d)=4800-20d.
Shawn bought a hat for $17.00, shorts for $24.00 and a shirt for $12.00. How much did he spend in all?
PLEASE HELP!
Answer:
$53
Step-by-step explanation:
17+24=41
41+12=53
Answer:
$53
Step-by-step explanation:
17+24=41
41+12=53
2. A farmer earns $4 for each bushel of corn he sells. The equation y = 4x can be used to
represent this situation, where x is the number of bushels of corn sold and y is the total amount
earned. What is the range that would represent this situation if no more than 1,000 bushels of
corn are sold?
Answer:
A
Step-by-step explanation:
Since x represents the bushels of corn that will be our variable. X (our number of bushels) is greater than or equal to zero, but x is less than or equal to 1000 since it is no greater than 1,000/
A new glove and ball are priced $29.99, but you have a coupon for 15% off. What is the price of the glove and ball with the coupon?
Round to the nearest hundredth (penny)
What’s the value of the question mark?
Answer: 15/30 = 5/10
Step-by-step explanation: 5/10 = 1/2 so then you'd have to make 15/ something double it so It would equal 1/2 hope this helps :)
While eating dinner, Marian ate 25% of the apple slices she had in
Her bag. There were 20 apple slices in her bag. How many
apple slices did Marian eat?
Answer Marian ate 5 apple slices
Step-by-step explanation:
Which of the following rational functions is graphed below?
10
-10
10
-10
Answer:
C) F(x)=1/(x-2)²
Step-by-step explanation:
I'm 100% sure. You can go with it
The solution is Option C.
The value of the equation is f ( x ) = 1/ ( x - 2 )²
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the function be f ( x ) = A
Now , Vertical asymptote (VA) - It is a vertical line and hence its equation is of the form x = k. Vertical asymptotes are defined when the denominator of a rational function tends to zero
So , the function which represents the graph will be
f ( x ) = 1 / ( x - 2 )² be equation (1)
And , the graph of the function is given below
Hence , the equation is f ( x ) = 1 / ( x - 2 )²
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Solve for X
x - 4 1/6 = 9 1/3
Answer:
80
Step-by-step explanation:
Factor Completely
5x^2 + 15x - 140
•prime
•5(x - 4) (x + 7). •5(x-7)(x + 4)
•5(x - 14) (x + 2)
Answer:
5(x + 7)(x - 4).
Step-by-step explanation:
5x^2 + 15x - 140
= 5(x^2 + 3x - 28)
= 5(x + 7)(x - 4).
Cone radius of 15 mm and a volume of 5890.5 mm3.What is the height of this cone?Show work.PLSSS help...
Answer: h = 25.0000585 mm
I can't really show work on a computer because there are symbols involved
Step-by-step explanation:
11. Solve -x < 3. Explain how to find the solution set.
Answer:
x < 3
Step-by-step explanation:
[tex]\frac{-x}{-}[/tex]<[tex]\frac{3}{-}[/tex]
x< -3
For moving object the force acting on the object varies directly with the object acceleration when a force of 36 in acts on a certain object the acceleration of the object is 6 m/s squared if the force is changed to 24 in what will be the acceleration of the object
Answer:
4m/s²
Step-by-step explanation:
Given that:
Force F is directly proportional to acceleration a
F α a
F = ka
Where k is the constant of proportionality
36 = 6k
Solve for K
36 = 6k
k = 36/6
k = 6
If force = 24 ; acceleration =
24 = ka
k = 6
24 = 6a
a = 24/6
a = 4m/s²
Terry is drawing isosceles triangles with side lengths a, b, and c such that
a = y − x
b = x + z
c = y − z
Where x, y, and z are positive integers and x + y + z < 10.
Find all the possible triples (a, b, c) that satisfy this.
9514 1404 393
Answer:
{2, 2, 2}, {2, 3, 3}, {2, 4, 4}, {3, 2, 3}, {3, 3, 2}, {3, 3, 4}, {3, 4, 3}, {4, 2, 4}, {4, 3, 3}, {4, 4, 2}, {5, 2, 5}, {6, 2, 6}
Step-by-step explanation:
The requirement that side lengths be greater than 0 means that ...
y > x > 0
y > z > 0
Then possible values for x and z are 1, 2, 3, and possible values for y are 3, 4, 5, 6, 7.
When we list the possibilities, and exclude those that do not give isosceles triangles, we find the values of {a, b, c} can be those listed above.
Tebor weighed 84 kg. he went running everyday and began to lose mass. after one month his mass was 78 kg. what was the percentage decrease?
Answer:
7.1%
Step-by-step explanation:
Given parameters:
Weight of Tebor = 84kg
Weight of Tebor after losing weight = 78kg
Unknown:
Percentage decrease = ?
Solution:
To find the percentage decrease, determine the difference between his initial and final weight;
Weight difference = 84kg - 78kg = 6kg
Percentage decrease = [tex]\frac{6}{84}[/tex] x 100 = 7.1%
Step-by-step explanation:
GivenWeight of Tebor = 84kg
Weight of Tebor after losing weight = 78kg
To findPercentage decrease = ¿¿??
Solution:To find the percentage decrease,
determine the difference between his initial and final weight;
Weight difference = 84kg - 78kg = 6kg
Percentage decrease =
[tex]\rightsquigarrow[/tex] [tex]\pink{\dfrac{6}{84}×100=7.1\%}[/tex]
Explain why 3(x+4)=2(x-5) has one solution.
Choose the best response below.
A. The X-terms are the same, but the constant terms are different.
B. The x-terms are the same and the constants are less than 20.
C. The X-terms are the same, and the constant terms are same.
D. The X-terms are different.
Answer:
IDK what answer to choose but I hope this helps
Step-by-step explanation:
3 ( x + 4 ) = 2 ( x - 5 )
3x + 12 = 2x - 10
x + 12 = -10
x = -22
Which sequence of transformations will map figure H onto figure H′?Two congruent hexagons are shown on a coordinate plane; hexagon H quadrant one with vertices at 2 comma 2, 2 comma 6, 6 comma 7, 8 comma 6, 8 comma 2, and 6 comma 1; hexagon H prime with vertices at 2 comma negative 8, 2 comma negative 4, 4 comma negative 3, 8 comma negative 4, 8 comma negative 8, and 4 comma negative 9. Rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across x = −6 Rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across y = −6 Rotation of 180° about the origin, translation of (x − 10, y + 2), and reflection across y = −6 Rotation of 180° about the origin, translation of (x − 10, y + 2), and reflection across x = −6
Answer:
Rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across y = −6
Step-by-step explanation:
The sequence of transformations that will map figure H onto figure H' is the rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across y = −6.
Given :
Points of Hexagon H -- (2,2), (2,6), (6,7), (8,6), (8,2), (6,1)
Points of Hexagon H' -- (2,-8), (2,-4), (4,-3), (8,-4), (8,-8), (4,-9)
The following steps can be used to transform the hexagon H into hexagon H':
Step 1 - Translate the hexagon in the positive x-axis direction by a factor of 10.
Step 2 - Translate the graph obtained in the above step by factor 2 in the downward direction.
Step 3 - Now, rotate the graph obtained in the above step 180 degrees about the origin.
Step 4 - Then take the reflection of the graph obtained in the above step about y = -6. The resulting graph shows the graph of Hexagon H'.
Therefore, the correct option is B).
For more information, refer to the link given below:
https://brainly.com/question/17267403
Ya this big brain time if u solve this u will get brainlist
Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100
Answer:
There are no solutions whenever k=4,5mod9.
This holds since it is not difficult to verify that for every integer n, we have n3=0,±1mod9.
Up till this year, there were just two values for k in the range 1..100 for which it was not known if there were a solution. These values are k=33,42.
Both values are now known to have solutions. See 42 is the answer to the question “
Jennie has $300 and she spends $15. What percent of her money is spent?
Answer:
5%
Step-by-step explanation:
15/300 can be simplified to 1/20
1/20 or 0.05 as a percentage (x100) is 5%
1 5/6 - 3/8 Can someone Plz help me this Math Problem??
Answer:
1 11/24
Step-by-step explanation:
1 5/6- 3/8
= (1-0) + ( 5/6 - 3/8)
= 1 + 5x4/6x4 - 3x3/8x3
= 1 + 20/24 - 9/24
= 1 + 20 - 9/24
= 1 + 11/24
= 1 11/24
To make an international call, there is a flat fee of $3.15 plus $0.05 for every minute that you talk. If you were charged $5.10 for making an international call, for how many minutes did you talk?
Answer:
39 minutes
Step-by-step explanation:
I used a calculator
Answer:
39 minutes
Step-by-step explanation:
a = 0.05m + 3.15 where a=the total charged, m=the amount of minutes
5.10 = 0.05m + 3.15
1.95 = 0.05m
1.95/0.05 = m
m = 39 minutes
Find the y-intercept of the following function:
[tex]2x - 4y = 9[/tex]
Hi there!
[tex]\large\boxed{0, -\frac{9}{4} }[/tex]
2x - 4y = 9
Begin by isolating the y variable by moving 2x to the right-hand side of the equation. (Subtract 2x from both sides):
2x - 2x - 4y = 9 - 2x
-4y = 9 - 2x
Further isolate by dividing both sides by -4:
-4y / (-4) = (9 - 2x) / (-4)
y = -9/4 - 2x/(-4)
Simplify further:
y = -9/4 + 1/2x
y = 1/2x - 9/4
The "b" value is the y-intercept, therefore:
x = 0 at y = -9/4
Answer:
[tex]\huge\boxed{(0, \frac{-9}{4} )}[/tex]
Step-by-step explanation:
2x - 4y = 9
To find the y-intercept, set the x value in the equation to 0.
Rewrite
2(0) - 4y = 9
Simplify
-4y = 9
Multiply both sides of the equation by -1
4y = 9
Divide both sides of the equation by 4
y = -9/4
y = -4.5
Now that we know the y intercept, we can find the coordinate.
(x, y)
Substitute
(0, [tex]\frac{-9}{4}[/tex])
Let me know if you have any questions!
Teri ran 8 kilometers. One mile is approximately equal to 1.6 kilometers.
Answer:
5 miles
Step-by-step explanation:
8 divided by 1.6 is 5
5 miles = 8 kilometers
what is the answer to this
Answer:
60 percent of students have car
A box is filled with 5 blue cards, 6 yellow cards, and 3 brown cards. A card is chosen at random from the box. What is the probability that the card is not yellow?
Write your answer as a fraction in simplest form.
HELP
4/7 of a chance. There are a total of 14 cars. 6 are yellow. 8 are not. 8/14 of the cards are not yellow. 8/14 simplifyed= 4/7.
Answer: Hello there user! Your answer would be 8/14, or, simplified, 4/7.
Step-by-step explanation: Consider marking this answer as brainliest if it helped you out.
which number equals 9x100+9x10+0x1+0x 1/10+ 3x 1/100+7x1/1000
Answer:
990.037
don't ask.
Step-by-step explanation:
Johnny Storm is going to walk in a fundraising event to raise money for his school
band. His mother has agreed to donate $8.50 to the school for each mile that
Johnny walks, plus an additional $15.
What equation represents y, the total amount of money Johnny's mother will donate
if Johnny walks X miles during the event?
-3/5 and -5/8 as decimals
Answer:
-3/5 = -0.6
-5/8 = -0.625
Step-by-step explanation:
I most definitely did not use a calculator.