Step-by-step explanation:
The volume of a hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3[/tex]
Taking differentiation,
[tex]\dfrac{dV}{dr}=2\pi r^2[/tex]
So,
[tex]dV=2\pi r^2\times dr[/tex]
Put r = 21 m and dr = 0.03 cm = 0.0003 m
[tex]dV=2\pi \times 21^2\times 0.0003\\\\dV=0.831\ m^3[/tex]
Hence, this is the required solution.
HELP PLEASE WILL MARK BRAINLIEST ITS END BEHAVIOR OF A GRAPH
Points A, B, and C are collinear, BC = 2x+1, AB = 4x-3. AC is 7x- 6. What is
AB?
A line is a one-dimensional shape that is straight, has no thickness. The length of the sides AB is 13 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given Points A, B, and C are collinear, BC = 2x+1, AB = 4x-3, and AC is 7x- 6. Since the three points are collinear therefore, the sum of AB and BC will be equal to AC. Therefore, we can write,
AB + BC = AC
4x - 3 + 2x + 1 = 7x - 6
6x - 2 = 7x - 6
-2 + 6 = 7x - 6x
4 = x
Now, since the value of x is 4, the measurement of AB is,
AB = 4x - 3 = 4(4) - 3 = 16 - 3 = 13 units
Hence, the length of the sides AB is 13 units.
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The cost of playing golf increases with the number of games played. Identify the independent and dependent quantity in the situation.
A. hours played; cost
B. cost; games played
C. cost; hours played
D. games played; cost
find the value of a and the value of b :
4x2 - 4x - 15 is a factor of 4x3 + ax2 + bx + 30.
Step-by-step explanation:
the answer is in the above image
pls give me BRAINLIEST
A new runner has decided to purchase a new pair of running shoes. He has narrowed his choices to two brands, each of which would be appropriate for his use. His concern is whether there is a significant difference in the average wear between the two brands of shoes. He enlisted a random sample of 6 veteran runners to test the shoes. Each runner wore each brand of shoe until it wore out. What method of analysis is more appropriate to use for this problem
Answer:
Paired difference t test
Step-by-step explanation:
The paired difference t test is a type of statistical test which is used to examine if difference exists in th population mean of two samples. The paired difference test usually involves samples taken within subjects. That is, the sample mean for each set of measurement is taken from the Same subject, In the scenario described above, the subjects which are the 6 veteran runners each wore each of the two shoe brands, this means that two readings were produced by each runner ; one reading for brand A and the other brand B.
The difference between the two readings are taken for each runner and used to perform a hypothesis test:
t = μd/ (s/√n)
s = sample standard deviation ; n = sample size ; μd = mean difference
On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. Which graph represents the translation g(x) = |x + 2| as a solid line?
On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (2, 0).
On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (0, negative 2).
On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (negative 2, 0).
On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (0, 2).
Using shifting concepts, we get that the graph that represents the translation g(x) = |x + 2| as a solid line is:
On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (-2, 0).
--------------------------------------------------
Shifting a function f(x) a units to the left is the same as finding f(x + a).--------------------------------------------------
The vertex of the function f(x) = |x| is at the point where x = 0, and thus, f(x) = 0. Thus, the vertex of the dashed line is at (0,0).The vertex of the function g(x) = |x + 2| is at the point where [tex]x + 2 = 0 \rightarrow x = -2[/tex], g(-2) = |-2 + 2| = 0. Thus, the vertex of the solid line is at (-2,0).Thus, the correct option is:
On a coordinate plane, a dashed line absolute value graph has a vertex at (0, 0). A solid line absolute value graph has a vertex at (-2, 0).
At the end of the exercises, there are are the graphs of those two functions, considering the dashed line as the red line and the solid line as the blue line.
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Answer:
Not D
Step-by-step explanation:
Petty sure It's C
How many turning points are in the graph of the polynomial function?
A.) 2 turning points
B.) 3 turning points
C.) 4 turning points
D.) 5 turning points
Solve (5y+2)(y+2)=3(5y+2)
Answer:
y=1, y=-2/5
Step-by-step explanation:
Answer:
y= -2/5 . y= 1
Step-by-step explanation:
The store charges $2.50 for a bottle of soda and $1.25 for a bottle of water. Write an equation in standard form for the number of soda (s) and water (w) bottles that you can buy with $15. PLZ HELPPPP
Answer:
2.50 + 1.25= 3.75
15.00 - 3.75= 11.25
Step-by-step explanation:
Tessellations . image below
Answer:
regular hexagon is a answer
On Wednesday, a local hamburger shop sold a combined total of 294 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answer:
check the picture
Step-by-step explanation:
I hope this help
Find the first two expressions in the sequence _, _, 4x+5, 5x+7, 6x+9, 7x+11, 8x+13...
Answer:
First term: 2x+1
Second term: 3x+3
Step-by-step explanation:
The coefficient of x is going up by 1 time each time while the constant term is going up by 2.
We are looking at these two questions basically:
1) What are the first two terms in?
_,_,4,5,6,7,8
2) What are the first two terms in?
_,_,5,7,9,11,13
Answers:
1) Since the sequence is going up by 1 reading left to right, then right to left it's going down by 1.
So before 4, we have 3.
Before 3, we have 2.
The sequence for the coefficient of x is 2,3,4,5,6,7,8
2) Since the sequence is going up by 2 from left to right, then it's going down by 2 reading right to left.
So before 5, we have 3.
Before 3, we have 1.
The sequence for the constant term is 1,3,5,7,9,11,13.
So first two terms of the sequence in ascending order according to the sequence is:
2x+1
3x+3
I NEED HELP ASAP ⚠️⚠️
If 1 is a solution to g(x) = 0, what is the other solution?
9514 1404 393
Answer:
A. -1
Step-by-step explanation:
The table shows that g(x) = 0 for x = -1. (third row)
The other solution is x = -1.
Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the graph of the exponential function relating time and money?
The initial value of the graph is 200. The graph increases by a factor of 1.05 per 1 unit increase in time.
The initial value of the graph is 200. The graph increases by a factor of 5 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 2 per 1 unit increase in time.
The initial value of the graph is 500. The graph increases by a factor of 1.02 per 1 unit increase in time.
Answer:
First you need to state the equation that represents the function.
Investment is $200 and interest rate is 5%, y is the amount of money after x periods.
Note that after 1 period the amount of money is 200 plus 5% interest, which is 200 + 5%(200) = 200 (1 +5%) = 200 (1 + 0.05) = 200 (1.05)
After 2 periods the amount is 200(1.05)*(1.05) = 200 (1.05)^2
After 3 periods the amount is 200 (1.05)^3
And now you can deduce that after x periods y = 200 (1.05)^x
You can then analyze the function to predict the shape and critical points of the graph.
The answers are based in the initial value and the increasing factor.
The initial value is when x = 0, which yields to y = 200 (1.05)^0 = 200*1 = 200
And the increasing factor is 1.05 because any value is the previos one times 1.05.
Step-by-step explanation:
Solve the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
|x − 1| = |3x + 8|
Answer:
ndwiqnubuyohaiuhdiupas
I GOT A BLEEE
Step-by-step explanation:
Answer:
- 9/2 , - 7/4
Step-by-step explanation:
You can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps. and it is free.
What did she do wrong??
Answer:
She did nothing wrong
PLEASE HELP I HAVE COUPLE MORE QUESTIONS AS WELL
Answer:
BPA = 115
DCB = 105
DE = 150
Step-by-step explanation:
MMM
Please help!!!! Shsjsjahshsh
Answer:
The answer is b
Step-by-step explanation:
tom has 60 apples, 30 oranges and 10 bananas
Valerie has 45 apples, 20 oranges and 5 bananas
how many more apples, oranges and bananas does tom have each?
how many apples, oranges and bananas do they have in all?
how many apples, oranges and bananas do they have in all times 2?
Answer:
15 10 5
60+45=15
30-20=10
10-5=5
170
60+30+10+45+20+5=170
340
170x2=340
Step-by-step explanation:
what is butterfly cycle
The butterfly and moth develop through a process called metamorphosis. This is a Greek word that means transformation or change in shape. There are four stages in the metamorphosis of butterflies and moths: egg, larva, pupa, and adult.
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What is Associative property mean?
In the given figure p ∥ q , and t is a transversal then find the measures of a, b, c, d and e.
Answer:
d=125-degree since p and q are parallel
b=d=125-degree since b and d are vertically opposite angles
a+d= 180-degree since they lie in straight line
Hence, a=180-125=55-degree
c=a=55-degree since a and c are vertically opposite angle
f=a=55-degree since a and f are alternate angle
e=f=55-degree since e and f are vertically opposite angle
If d(4)=68. Thus, joe travels 68 mi in 4 hours. How many mi does Joe travel in 45 min
Answer:
12.75 miles
Step-by-step explanation:
Changing hours to minutes
4 hours 4*60 = 240 minutes
Now we can use a ratio to solve
68 miles x miles
------------- = -----------------
240 minutes 45 minutes
Using cross products
68*45 = 240x
Divide each side by 240
68*45 /240 = x
12.75 miles
Answer:
12.75 MILES
Step-by-step explanation:
if he travels 68 miles in 4 we should find how many miles per hour
to find this we divide 68/4 which is 17
So if he is going 17 MPH then to find how far he travels in 45 min we should multiply by 3/4
17 x 3/4 is 12.75
12.75 MILES
Find the circumference of this circle
using 3 for T.
C ~ [?]
2
C = 2Tr
Answer:
12Step-by-step explanation:
Formula:
C = 2πrGiven:
r = 2, π = 3The circumference:
C ≈ 2*2*3 = 12Hope this help!!!
Have a nice day!!!
Factorize by splitting the middle term: 100 x2 – 20x + 1.
Answer:
Below;.
Step-by-step explanation:
100x^2 - 10x - 10x + 1
= 10x(10x - 1) - 1(10x - 1)
= (10x - 1)(10x - 1).
Solve for x
(4/y) + (3/x) = 8
(6/y) + (5/x) = 13
Answer:
0.5
Step-by-step explanation:
Given data
[tex]\frac{4}{y} +\frac{3}{x} =8\\\frac{6}{y}+\frac{5}{x} =13[/tex]
Now,
4x+3y=8xy......(i)
6x+5y=13xy.......(ii)
Multiply by 5 in equation (i) and by 3 in equation (ii)
20x+15y=40xy.....(iii)
18x+15y=39xy.....(iV)
Solving above equation (iii) and (iv)
2x=xy
y=2
Now, putting the y=2 in equation (i)
4x+3(2)=8x(2)
4x+6=16x
6=12x
x=0.5
Value of x=0.5
5x5x5x5x5 in expression in exponential form
Answer:
5^5
Step-by-step explanation:
There are 5 fives being multiplied together.
The expression 5x5x5x5x5 can be written in exponential form as [tex]5^5[/tex].
To express the expression 5x5x5x5x5 in exponential form, follow these steps:
Step 1: Count the number of times the base (5) is multiplied by itself (the number of factors).
Step 2: Write the base (5) followed by the exponent, which is the number of factors from Step 1.
In this case, the base is 5, and it is multiplied by itself 5 times:
5x5x5x5x5 = [tex]5^5[/tex]
So, the expression 5x5x5x5x5 can be written in exponential form as [tex]5^5[/tex].
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Find ƒ–1 for the function ƒ(x) = (x – 10)3 + 4.
Answer:
x=-69/7
Step-by-step explanation:
f (-1) f (x)=(x-10) 3+4
-1=(x-10) 3+4
-1=(x-10) 7
You will multiply 7 by (x-10)
-1=7x-70
Well move the-1 to the right hand side which will become+1 and move the+7x to the left hand side which will become -7x
-7x=-70+1
-7x=-69
So you will divide both sides by-7
-7x/7=-69/7
x=-69/7
A school store has 1200 pencils in stock, and sells an average of 25 pencils per day. The manager reorders when the number of pencils in stock is 500. In how many days will the manger have to reorder? The equation that the manger uses to calculate number of days is 1200 - 25x =500.
A 35 DAYS
b 45 DAYS
C 28 DAYS
D 17 DAYS
Answer:
C. 28 DAYS
Step-by-step explanation:
You take the total ammount of pencils and subtract the minimum stock (y intercept)
1200-500 = 700
700 divided by the slope of the equation (how many pencils a day is sold) 25
700/25 = 28
7. A biscuit recipe calls for these
ingredients:
3/8
cup of brown sugar
- 2 1/2 cups of flour and
1/3 cup of white sugar
b) Would a bowl that holds 3 cups
be big enough to hold all three
ingredients? Explain how you know.
Hope this explanation helps. :)
