Answer:
[tex]\mathbf{ \dfrac{dr}{dt} = 0.03730 \ cm/min}[/tex]
Step-by-step explanation:
The rate of the inflation of the balloon with time can be denoted as:
[tex]\dfrac{dv}{dt} = 500 \ cm^3/m[/tex]
To determine; how fast does the radius change with time.
i.e.
[tex]\dfrac{dr}{dt}=???[/tex]
where r = 40 cm and the volume of sphere = [tex]\dfrac{4}{3} \pi r^2[/tex]
∴
[tex]\dfrac{dv}{dt}= \dfrac{4}{3} \pi 2(r^3) \dfrac{dr}{dt}[/tex]
[tex]500= \dfrac{4}{3} \pi \times 2(40^2) \dfrac{dr}{dt}[/tex]
[tex]500= 13404.13 \dfrac{dr}{dt}[/tex]
[tex]\dfrac{500}{13404.13} = \dfrac{dr}{dt}[/tex]
[tex]\mathbf{ \dfrac{dr}{dt} = 0.03730 \ cm/min}[/tex]
1.
(03.01 LC)
The leg of a right triangle is 2 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle? (5 points)
2 units
6 units
Square root of 12 units
Square root of 20 units
Answer:
[tex]\sqrt{12}[/tex] units
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the other leg, then
x² + 2² = 4²
x² + 4 = 16 ( subtract 4 from both sides )
x² = 12 ( take the square root of both sides )
x = [tex]\sqrt{12}[/tex] units
which can be simplified to 2[tex]\sqrt{3}[/tex] units , if required.
Pleaseeee helpppp !!!!!! Will mark Brianliest !!!!!!!!!!!!
Answer:
NQ=15
Step-by-step explanation:
To solve this we can use the side-splitter theorem.
NS/SR=NP/PQ
PQ=x since we do not know it's value
now to subsitute the given/known values.
12/78=2/x
solve for x using cross multiplication.
12x=156
x=13
PQ=13
NQ= PQ+NP
NP=2
NQ=13+2
NQ=15
The length of NQ is 15.
Write a linear function in which the slope is less than the y-intercept. (There are many correct answers)
Answer:
An exceptional answer to the question provided would be, y = 6x + 2
Can someone plz tell me the coordinates for D’
Given g(x)=-3x+1 find g(2) please i will give brainlest
Answer:
-6+1
-5 :)
Step-by-step explanation:
Describe and correct the error made in finding BC in the diagram Shown. (Hint: It is an Isosceles triangle)
Answer:
BC = 5
Step-by-step explanation:
Since it is an isosceles, it is the base angles that are equal
Since the base angles are equal, then the sides facing these angles are equal
Mathematically, what we are supposed to have as equals should be AB and BC since they are the sides facing the base angles
Thus, BC should be 5
Please help me fast
Answer:
9:11
Step-by-step explanation:
9000-4950=4050
(refer to picture for the rest)
what is the mean absolute deviation of the numbers in the list?
32, 43, 38, 28, 51
A. 34.4
B. 6.88
C. 38.4
D. 7.68
Answer:
The mean for these numbers would have to be 38.4
Forgive me if I'm wrong!
Step-by-step explanation:
PLEASE HELP ME!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!
Equations and inequalities fall under the umbrella of algebra. Algebra is the category of math where letters, like x and y, are used to represent numbers. These letters are called variables, and the goal of equations and inequalities is to find the value of the variable. An equation is a statement that two expressions or values are equal, shown by an equal sign, which looks like this: =. An inequality is a statement that two expressions or values are not equal, shown by an inequality sign. The four inequality signs look like this: > (“greater than”), 437
A= y - 78
B x = 46 + y
C= 4x + 5 = 950
D= 2b - 17 > 437
Answer:
b
Step-by-step explanation:
Answer:
the answer is D.
Step-by-step explanation:
Conner has a coupon for $2.31 off any
purchase of fruit. He decides to buy a
bag of 9 apples which normally cost
$9.33. If Conner uses his coupon, what
will be the price per apple?
Answer:
$0.78 per apple
Step-by-step explanation:
First, find the price of the bag with the coupon:
9.33 - 2.31
= 7.02
Then, find the price per apple by dividing this by 9, since there are 9 apples in the bag:
7.02/9
= 0.78
So, with the coupon, the price per apple is $0.78
Music company A charges a $15 membership fee and $0.75 each to download a song. Music company B charges $0.90 each to download a song with no membership fee.
A. For what number of songs will both companies charge the same amount? Justify your answer using mathematics.
B. your anticipate that you will download 150 songs. Which company should you choose if you want to spend the least amount of money? Justify your answer using mathematics.
Answer:
a) 165
Step-by-step explanation:
What is the answer? Please Answer it?
Answer:
2, 5
Step-by-step explanation:
hope this helps
please mark me brainliest
What is the domain of f(x)= (1/3)^x
O A. All real numbers
O B. x>0
O C. x< 0
O D. y > 0
Answer:
All real values
Step-by-step explanation:
Given
[tex]f(x) = (\frac{1}{3})^x[/tex]
Required
Determine the domain
The domain of a function are the values of x that makes the function to be defined.
From the given function, we can see that no single value of x will make the function become undefined.
Hence, the domain is:
x = (-∞, +∞)
In other words, the domain implies that all real numbers.
Hence:
Option (A) answers the question.
Torrance is shopping for a school party. His donation to the party is snack bags and juice boxes. Snack bags come in packages of 12, and juice boxes come in a package of 10. What is the fewest number of packages of each product Torrance must purchase so that he has the same number of snack bags and juice boxes? Use paper to show what you know about the least common multiple to support your answer. Enter your answers in the boxes. Torrance must purchase packages of snack bags and packages of juice boxes to have the same number of each
Answer:
Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.
Step-by-step explanation:
Given that:
Snack bags come in packages of 12.
Juice bags come in packages of 10.
To find:
Fewest number of packages of each product so that there are same number of snack bags and juice boxes.
Solution:
Number of snack bags when 1 package is bought = 12
Number of snack bags when 2 package is bought = 24
Number of snack bags when 3 package is bought = 36
Number of snack bags when 4 package is bought = 48
Number of snack bags when 5 package is bought = 60
Number of snack bags when 6 package is bought = 72
Number of juice bags when 1 package is bought = 10
Number of juice bags when 2 package is bought = 20
Number of juice bags when 3 package is bought = 30
Number of juice bags when 4 package is bought = 40
Number of juice bags when 5 package is bought = 50
Number of juice bags when 6 package is bought = 60
Number of juice bags when 7 package is bought = 70
We can see that when 5 packages of snack bags are bought and 6 packages of juice bags are bought, 60 bags of each are bought.
This can be found by finding the LCM as well.
LCM of 10 and 12 is 60.
It means we need to buy 60 bags of each item.
And we can easily find the number of packages for each.
Number of packages of snack bags to be bought = [tex]\frac{60}{12} =5[/tex]
Number of packages of juice bags to be bought = [tex]\frac{60}{10} = 6[/tex]
Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.
Alexis will graph the linear equation 6x 2y = 12 by plotting the x-intercept and y-
intercept.
Write the coordinates of the intercepts that Alexis should use.
Answer:
(0,6) and (2,0)
Step-by-step explanation:
y=-3x+6
Where x = 0 is equal to y=6 (Meaning the intercept is (0,6))
And where y= o is equal to x=2 (Meaning the intercept is (2,0))
coach purchased footballs and basketballs from two different stores.
Each football costs the same amount, and each basketball costs the same
amount.
At the first store, the coach paid $110 for 5 footballs and 14 basketballs.
At the second store, the coach paid $82.50 for 10 footballs and 6
basketballs.
What was the cost in dollars of each basketball?
Answer:
$6.25Step-by-step explanation:
Let football cost be f and basketball cost be b
We have two equations as per given:
5f + 14b = 11010f + 6b = 82.50We need to find b, therefore we'll eliminate f
To do so we'll double the first equation and subtract the second one:
2(5f + 14b) - (10f + 6b) = 2(110) - 82.5028b - 6b = 220 - 82.5022b = 137.5b = 137.5/22b = 6.25Each basketball costs $6.25
Question:
Coach purchased footballs and basketballs from two different stores.
Each football costs the same amount, and each basketball costs the same amount.
At the first store, the coach paid $110 for 5 footballs and 14 basketballs.
At the second store, the coach paid $82.50 for 10 footballs and 6 basketballs.
What was the cost in dollars of Each basketball?
Answer:
Probably 7
REAL Answer:
6.25
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A pair of new headphones cost $20 to make. They get marked up in price 250% by a retail store before they are sold. How much will the headphones cost?
Answer:
$50
Step-by-step explanation:
Change 250 to a decimal:
250/100 = 2.50
multiple the price by this decimal to find the new price:
$20 x 2.50 = $50
What is the slope of the line? *
Answer:
The line isnt there but....
Step-by-step explanation:
I suggest to make a table
x y
( ) ( )
( ) ( )
and on each section put the points on the correct input and output
once you do that you want to see how much you need to add or subtract to get to the other input or output
For example
if i have ( 5, 10) and ( -5, -10)
I would make a table that looks like this with each of the inputs and outputs.....
x y
5 10
-5 -10
From 10 to -10 you need to subtract 20
from 8 to -8 you need to subtract 10
so y/x
-20/-10
2 negative numbers make a positive so...
your slope will be 2
So with any numbers that they give you, use what I showed u
Hope this helped to clarify a little!
Answer:
yeah that is what you do i could give an awnser if ther was a pc
Which situation leads to a unit cost of $6 per
football ticket?
Select one:
1)$6 paid for 2 football tickets
2)$6 paid for 6 football tickets
3)12 football tickets for $72
4)6 football tickets for $24
If (x+2) is a factor of 3x^2-4kx-4k^2, then find the value(s) of k
Answer:
The values of k will be:
[tex]k=-1,\:k=3[/tex]
Step-by-step explanation:
Let the expression of polynomial P be
[tex]P\left(x\right)=3x^2-4kx-4k^2[/tex]
Let the expression if the polynomial Q be
[tex]\:Q\left(x\right)=\:\left(x+2\right)\:[/tex]
Plug in Q(x) = 0
0 = x+2
x = -2
As (x+2) is a factor of 3x²-4kx-4k²
substitute x = -2 in the the polynomial
3x²-4kx-4k² = 0
[tex]3\left(-2\right)^2-4k\left(-2\right)-4k^2\:=0[/tex]
[tex]12+8k-4k^2=0[/tex]
Write in the standard form ax²+bx+c = 0
[tex]-4k^2+8k+12=0[/tex]
Factor out common term -4
[tex]-4\left(k^2-2k-3\right)=0[/tex]
Factor k²-2k-3: (k+1)(k-3)
[tex]-4\left(k+1\right)\left(k-3\right)=0[/tex]
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
[tex]k+1=0\quad \mathrm{or}\quad \:k-3=0[/tex]
solving k+1=0
k+1 = 0
k = -1
solving k-3=0
k-3=0
k = 3
Thus, the values of k will be:
[tex]k=-1,\:k=3[/tex]
Anthony purchased three pounds of chicken and two and one-half pounds of ground turkey. The chicken costs $3.50 per pound and the ground turkey costs $4.25 per pound. What is the total cost of the chicken and the ground turkey?
A
$42.63
B
$21.13
C
$21.50
D
$7.75
chicken total cost
3 * 3.50 = $10.5
ground total cost
1.5 * 4.25 = $6.38
OK so boom I NNEED HELP!! :)
A pentagon will be dilated on a coordinate grid to create a larger pentagon. The pentagon is dilated using the origin as the center of the dilation. What rule could represent this dilation?
A. (x, y)→(x+3, y−3)
B. (x, y)→(x−2, y+2)
C. (x, y)→(12x, 12y)
D. (x, y)→(52x, 52y)
Answer:
a
Step-by-step explanation:
The pentagon is dilated 3 units to the left and 3 units vertically down and the rule is ( x , y ) → ( x + 3 , y - 3 )
What is Dilation?Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent
Given data ,
Let the pentagon be represented as A
Now , the dilated pentagon is represented as A'
Now , the center of dilation is the origin O ( 0 , 0 )
where it is dilated 3 units to the left
So , the x coordinate is changed to x + 3
And , dilated vertically downward by 3 units
So , the y coordinate is changed to y - 3
Hence , the dilated pentagon is ( x , y ) → ( x + 3 , y - 3 )
To learn more about dilation click :
https://brainly.com/question/13176891
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Helpp please i need this answer as soon as possible
Answer:
Expression A and C
Step-by-step explanation:
Answer:
the expresión Is A AND B
Paulo is buying tennis balls that are on sale for 5% off. He uses the expressions t − 0.05t to determine the sale price of the tennis balls. What is an equivalent expression that Paulo could also use to determine the sale price?
Answer:
0.95t
Step-by-step explanation:
Given expression:
t − 0.05t
The equivalent expression could be found by factorizing the expression
t − 0.05t
= t ( 1 - 0.05)
= t (0.95)
= 0.95t
Check
When t = 2
t − 0.05t
= 2 - 0.05(2)
= 2 - 0.1
= 1.9
When t = 2
0.95t
= 0.95(2)
= 1.9
Therefore, the equivalent expression to t − 0.05t is 0.95t
Can someone help me in this question
Answer:
The average speed of the athlete for the entire competition is approximately 21.23 km/hr
Step-by-step explanation:
The given parameters of the athlete performance in the triathlon are;
The length the athlete swims = 750 m = 0.75 km
The time the athletes spends swimming = 15 minutes = 0.25 hours
The speed with which the athlete cycles = 40 km/hr.
The time the athletes spends while cycling = 30 minutes = 0.5 hours
The distance the athlete ran = 5 km
The average speed with which the athlete ran = 3 m/s = 10.8 km/hr.
The formula for average speed, s is Average speed = Total distance/(Total time)
The distance, ∑d, the athlete covered in the entire competition is given as follows;
∑d = 0.75 km + 0.5 hr. × 40 km/hr. + 5 km = 0.75 km + 20 km + 5 km = 25.75 km
The distance, ∑t, the athlete spends in the entire competition is given as follows;
∑t = 0.25 hr. + 0.5 hr. + 5 km/(10.8 km/hr.) = 0.25 hr. + 0.5 hr. + 0.463 hr. ≈ 1.213 hr.;
Therefore;
The average speed of the athlete for the entire competition, s = ∑d/∑t = 25.75 km/(1.213 hr.) ≈ 21.23 km/hr.
25 points, will mark brainliest!!
Step-by-step explanation:
Alex buys x oranges and Bobbie buys x + 2 oranges. Together they buy 2x + 2 oranges.
$4.20 / $0.21 = 20 oranges.
2x + 2 = 20
2x = 18
x = 9
Hence the value of x is 9.
Answer:
x=9
Step-by-step explanation:
The total number of oranges purchased is x + x+2 = 2x+2
They cost 21 cents each
(2x+2) *.21
This is equal to 4.20
(2x+2) *.21 =4.20
Divide each side by .21
(2x+2) *.21/.21 =4.20/.21
2x+2 = 20
Subtract 2 from each side
2x+2-2 =20-2
2x= 18
Divide by 2
2x/2 =18/2
x =9
Lou's car had 6.6 gallons in the 16- gallon tank on the coldest day of the year . Lou filled the tank with gas that cost 3.70 per gallon how much money did lou spend
Answer: $33.48
Step-by-step explanation:
Given that:
Capacity of car tank =. 16 gallons
Gallons of already filled = 6.6 gallons
Amount left of tank capacity = 16 - 6.7
Amount left of tank capacity = 9.3 gallons
Cost of gas per gallon = $3.60
Hence, amount spent in gas will be
Amount left of tank capacity * cost per gallon of gas
= 9.3 gallons * $3.60
= $33.48
Total amount spent on gas = $33.48
any more help just ask :)
Please ASAP I WILL MARK YOU AS BRANLIEST
The area of a garden plot can be represented by the expression 84z - 54. The garden will be divided into six sections for planting six different vegetables. The sections will be equal in area. Write an expression that represents the area of each section.
Answer:
14z-9
Step-by-step explanation:
[tex]\frac{84z-54}{6}[/tex]
explain how a yard foot and inch are related
Review & Answer:
Measuring with inches will give us inches. If you look at a ruler, inches are about a pinky finger. If 12 inches together, it is called a yard. If 3 feets are together, it is known as a yard foot
Solve the system of equation by elimination.
Answer:
Step-by-step explanation:
Write all the equations in standard form cleared of decimals or fractions.
Choose a variable to eliminate; then choose any two of the three equations and eliminate the chosen variable.
Select a different set of two equations and eliminate the same variable as in Step 2.
Solve the two equations from steps 2 and 3 for the two variables they contain.