Answer:
2714 mm3
Step-by-step explanation:
Volume of the material used in each cylindrical cracker is 2714 cubic mm.
Volume of a cylinder: Volume of a cylinder is given by the expression,
Volume = πr²h
Given in the question,
Cylindrical cracker have a cylindrical hole in middle. Diameter of entire cracker = 16 mm Diameter of the cylindrical hole = 8 mm Length of the cracker = 18 mmMaterial used in cracker = Volume of the whole cracker - Volume of the cylindrical hole
= [tex]\pi (\frac{16}{2} )^2(18)-\pi (\frac{8}{2} )^2(18)[/tex]
= 1152π - 288π
= 864π
= 2714.34
≈ 2714 cubic mm.
Therefore, volume of the material used in each cracker will be 2714 mm³.
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What is the length of diagonal BD?
Answer: My answer would be 7.6
Step-by-step explanation: Hope this is correct.
find the coordinates for P in the diagram given r=4 and theta=7pi/6
(the diagram is an empty unit circle)
Answer: can you please set this up differently?????
Step-by-step explanation:
Find the unknown side lengths in these right triangles.
When is it true the Pythagorean Theorem is..?
A) True for all triangles
B) True for all right triangles
C) True for some right triangles
D) Never true
Answer:
Triangle 1 - [tex]\sqrt{29[/tex] (if they want simplest radical form) or 5.4 (if they want to the nearest tenth)
Triangle 2- i couldnt figure this one out- may not be true
Pythagorean Theorem is... C) true for all right triangles
Step-by-step explanation:
You are trying to decide whether to use Uber or Lyft during a vacation. Uber charges $3 to pick up plus an additional $0.25 for each mile driven. Lyft does not charge to pick up but they have a rate of $0.75 for each mile driven.
Let x = the number of miles traveled and y = the total cost for the trip.
Answer:
Uber: y = .25x + 3
Lyft: y = .75x
Step-by-step explanation:
. A gym charges $25 a month membership fee. The cost of a personal trainer is $15 per session.
If p represents the number of personal training sessions used and c represents the total
charges at the end of the month, what finear equation can be used to determine a user's
monthly bill?
Write an
explicit formula for An, the nth term of the sequence 7, -42, 252, ....
Answer:
[tex]A_n = 7(-6)^{n-1}[/tex]
Step-by-step explanation:
Key skills needed: Explicit formula, Geometric sequence
1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.
This can be done by doing -42 ÷ 7 or 252 ÷ -42
-42 ÷ 7 equals -6.
252 ÷ -42 also equals -6.
2) This means that constant is -6.
3) The general form for an explicit formula of a geometric sequence is:
[tex]a_n = a_1(r)^{n-1}[/tex]
--> r means the constant (or common ratio) that is being multiplied.
--> [tex]a_1[/tex] means the first term
--> [tex]a_n[/tex] means the "nth" numbered term (so [tex]a_3[/tex] is the 3rd term, [tex]a_{10}[/tex] is the 10th term and so on).
--> [tex]n-1[/tex] is just the "n" in [tex]a_n[/tex] minus 1.
4) We can use this formula to create an explicit formula for the geometric sequence in the problem.
--> [tex]r = -6[/tex] (Since we got -6 as the constant/common ratio).
--> [tex]a_1 = 7[/tex] (Since 7 is the 1st term)
This means that our formula would be --> [tex]A_n = 7(-6)^{n-1}[/tex]
Hope you understood and have a nice day!! :D
Question 21 (5 points)
Saved
The equation 3(4x) = (4x)3 illustrates which property?
O multiplicative inverse
distributive
O commutative
O associative
Answer:
a
Step-by-step explanation:
help plsss someone asap, i’ll mark as brainliest if correct!
Answer:
A.) y=x-2
Step-by-step explanation:
Each value in the "x" section is 2 numbers less than its corresponding number in the "y" section.
Solve the inequality: -2z - 3 < 5
Answer:
z>-4
Step-by-step explanation:
Answer:
z>4
Step-by-step explanation:
-2z-3<5
add 3 to 5: -2z < 8
divide by -2: z < -4
but since you divided by a negative number, you have to change the way the inequality is facing so the answer is z>-4
Help!
Sarah was standing on a dock next to the ocean. She kicked a soccer ball off the dock to her friend in the water. 4 seconds after she kicked the ball it reached a height of 9 feet above the water. It hit the water 6 seconds later.
Write an equation for the path of the rock in y=a(x-h)^2+k and give the height of the dock that she kicked the ball from. Show your work!
Answer:
1) The equation for the of the ball in y = a·(x - h)² + k is;
y = -16·(x - 5)² + 25
2) The height of the dock, d = -375 feet below the water level
Step-by-step explanation:
1) The question is with regards to quadratic function representing projectile motion
The given parameters are;
The height the ball reaches 4 seconds after Sarah kicked the ball = 9 feet
The time the ball hits the water = 6 seconds after reaching the 9 feet height
The form of the quadratic equation representing the motion is given as follows;
y = a·(x - h)² + k = a·x² - 2·a·h·x + a·h² + k
Let 'x' represent the time of motion of the ball, and let 'a', represent the acceleration due to gravity, we have;
The equation for the ball, y = a·(x - h)² + k
Where;
(h, k) = The coordinates of the vertex
h = The horizontal component of the vertex coordinate = 0
Therefore, we have;
When x = 0, y = d
d = -16·(0 - h)² + k = -16·h² + k
d = -16·h² + k
When x = 4, y = 9 - d
9 - d = -16(4 - h)² + k = -16(4 - h)² + k
When x = 2, y = d
d = -16(2 - h)² + k
When x = 6, y = 9
9 = -16(6 - 5)² + k
When x = 8, y = d
d = -16(8 - h)² + k
-16(8 - h)² - (-16(2 - h)²) = 0
h = 5
From 9 - d = -16(4 - h)² + k = -16(4 - 4)² + k
d = 9 - k
9 = -16(6 - h)² + k
k = 9 + 16(6 - 5)² = 25
d = 9 - k = 9 - 25 = -16
Therefore, h = 5, k = 25
The equation for the of the ball in y = a·(x - h)² + k is therefore;
y = -16·(x - 5)² + 25
2) When x = 0, y = d, ∴ d = -16(0 - 5)² + 25 = -375 feet below the water
The height of the dock, d = -375 feet below the water level
32^x^+^2=2^x
Find the value of x
Please explain/show work
Answer:
taking log on both side
(x+2)log(32) = xlog(2)
product rule you can use out here U.V formula after that it will give you answer
The original price of last year's gaming system was $399. It is now selling at a 24% discounted price. What is the sale price?
Answer:
$303.24
Step-by-step explanation:
399.00x24%=95.76
399.00÷95.76=303.24
Which set of numbers is arranged in increasing order? A. , , , B. , , , C. , , , D. , , ,
Answer: Option B.
Step-by-step explanation:
By an online search, i found that the options are:
A: (123873, 24765, 25000, 5678)
B: (16287, 16728, 16827, 16872)
C: (98782, 98728, 98287, 98278)
D: (78082, 78802, 78208, 78028)
The numbers will be arranged in increasing order if the difference between all the pairs of consecutive numbers in the set is positive (where the order of the numbers if from left to right):
For example, for the set A the differences are;
1) 24765 - 123873 = -99108
The difference is negative, then the second number is smaller than the first one, then the numbers are not arranged in increasing order.
Now let's see with set B:
1) 16728 - 16287 = 441
2) 16827 - 16728 = 99
3) 16872 - 16827 = 45
All the differences are positive, then the numbers on this set are arranged in increasing order.
We could easily see that in sets C and D the numbers are not arranged in increasing order, in set C the second number is smaller than the first one.
and in set D the third number is smaller than the second number.
Answer: sorry if it is not what you wanted I wasn't sure on what to submit
Drag and drop numbers into the boxes so that the paired values are in a proportional relationship
Answer:
6 goes on top of 3
4.5 goes under 9
Step-by-step explanation:
its self-explanatory
please help asap! i’ll give brainliest
Answer:
D
Step-by-step explanation:
Answer:
its A) love bc 1/f multipled by 1/3 = 2/9
Step-by-step explanation:
An elected official surveyed residents of a town to assess their satisfaction with city services. The survey includes
both those who own and those who rent their homes.
Level of Satisfaction
EEEE
High
Medium
Low
Total
Owners
26
34
18
78
Renters
15
12
5
22
Total
41
46
23
110
What proportion of those surveyed have low satisfaction with city services?
O 0.2091
O 0.2308
0.2644
O 0.3727
Save and Exit
Next
Submit
Answer:
A
Step-by-step explanation:
Not much of a reason but thats what i g ot
Answer:
a
Step-by-step explanation:
Can someone help me out pls
Answer:
a
Step-by-step explanation:
Can someone give me the answer
Answer:
B=YZ/20A
Step-by-step explanation:
Given that x^2 - y^2 = 45 and x + y = 9, find the values of x and y.
Answer:
x = 7
y = 2
Step-by-step explanation:
x² - y² = 45
(x+y) (x-y) = 45
x + y = 9 (known)
9 x (x-y) = 45
x - y = 5
y = x-5
x + (x - 5) = 9 (substitute)
2x = 14
x = 7
y = 2
What is the scale factor in the dilation?
Answer:
The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs. When the absolute value of the scale factor is less than one, a compression occurs.
Step-by-step explanation:
Find the total monthly cost for this plan to buy.
Loan Rate Insurance Repairs
Gas
Extra Miles
Misc.
Total Cost
$470.60
$125.00
warranty $69.00 $0.00
$55.50
Answer: $720.10
Step-by-step explanation:
I got this by adding the prices all together
What is the difference between –11x – 2 and 13x + 5?
24x + 7
-24x + 7
24x + 3
-24x - 7
____________________________
1.) Find the opposite of 13x + 5:To find the opposite of 13x+5, find the opposite of each term.[tex]13x=-13x[/tex][tex]5=-5[/tex]- We do this because when solving this they are in parenthesis, so you must get rid of the parenthesis by turning them negative.
Equation at the end of Step 1:
[tex]-11x-2-13x-5[/tex]2.) Combine −11x and −13x:[tex]-11x+-13x=-24x[/tex]- We do this since we can only have on variable at the end of the problem, so you just combine them if they have the same variable base.
Equation at the end of Step 2:
[tex]-24x-2-5[/tex]3.) Subtract 5 from −2:[tex]-2-5=-7[/tex]- We do this because we need one number left over to get a simplified version of this equation.
Equation at the end of Step 3:
[tex]-24x-7[/tex]____________________________
The number 299 is divided into two parts in
the ratio 5:8. The product of the numbers
(A) 21140
(C) 21160
(B) 21294
(D) 31294
Write 7√5 using rational exponents.
Answer:
7*(5)^0,5
Step-by-step explanation:
The value of number 7√5 in form of rational exponents will be 1561/1000.
What is Rational number?A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
Given that;
The number is,
⇒ 7√5
Now,
Since, The number is,
⇒ 7√5
Solve as;
⇒ 7√5 = 7 × 2.23
= 15.61
= 1561/100
Thus, The value in rational exponents = 1561/1000
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Jessica and Mofor are selling pies for a school fundraiser. Customers can buy apple pies and
lemon meringue pies. Jessica sold 7 apple pies and 6 lemon meringue pies for a total of $169.
Mofor sold 3 apple pies and 6 lemon meringue pies for a total of $141. Find the cost each of one
apple pie and one lemon meringue pie.
Answer
L=20 A=7
Step-by-step explanation:
Chi has a big pile of nickels. He says, “Even if I use 100 of these nickels, I’ll still have 95% of my original pile.” How many nickels does Chi have?
Answer:
2000
Step-by-step explanation:5%= 100 nickels
1%= 20 nickels
20 x 100 = 2000
Answer:
2,000
Step-by-step explanation:
If 5%=100 nickels , then 20x100=the number of nickels Chi has.
20x100=2,000
Find the measures of the interior angles.
X = 26 degrees
Step-by-step explanation:
84+ 70=154
180-154= 26
what is 0.375 as a fraction
Answer:
3/8 because 1/8 is .125 multiply by 3 and u get .375 aka 3/8
Pls help if your good at math I’ll mark brainliest and a thank you:)
A. -1/2
B. 2
c. 1 / 2
D. -2
Answer:
C. 1/2
Plzzzzz give me Brainliest!!!!!
Servers at a snack shop use the table below to find the total cost for frozen yogurt, but some of the numbers have worn off. The total cost is proportional to the number of cups of frozen yogurt. Find the missing numbers in the table.
Answer:
1.50 for one cup of frozen yogurt.
Step-by-step explanation: