\(\huge\bf{\color{Green}{Question:}}\)
Find the volume of each solid. Round to the nearest tenth.\(\huge\bf{\color{orange}{Solution:}}\)
Volume of the solid given = Volume of the small cone + Volume of the large cone.
\(\sf{V(solid)=V(small)+V(large)}\)
\(\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3}π(5)²7+\frac{1}{3}π(5)²11}\)
\(\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=\frac{25}{3}π(7+11)}\)
\(\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=\frac{25}{3}π(18)}\)
\(\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=150π}\)
\(\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:≈{\color{magenta}{471.2 in³}}}\)
=======================#Hope it helps you, mate!
(*°∀°)=3
Mr. Ghale bought a secondhand scooter for Rs 1,40,000. He spent Rs 7,500 to repair it. At what price should he sell it to gain 10% on his total investment ?
Answer:
153250
Step-by-step explanation:
153250
Identify the sampling method that was used. Cattle tag numbers at a livestock auction are selected using a random number generator. The cattle are then tested for mad cow disease.
a. Stratified
b. Systematic
c. Random
d. Cluster
Answer:
c. Random
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
There are various types of sampling used by researchers and these are;
1. Systematic sampling.
2. Convenience sampling.
3. Stratified sampling.
4. Cluster sampling.
5. Random sampling.
Random sampling can be defined as a type of sampling in which the researcher select a sample of the population in order to determine an outcome.
Thus, the type of sampling used is random sampling.
hii pls answer it guys plz help me
Answer:
7) 7/2 (its the only number between 3 and 4)
8) 7/10 ( its the only number between 3/5 and 4/5)
9) 5/8 (its the only number between 1/2 and 3/4)
Simplify:
Simplify:
1,2590
Answer:
2590
1
is already in the simplest form. It can be written as 2590 in decimal form (rounded to 6 decimal places)
Step-by-step explanation:
Answer:
2590
Step-by-step explanation:
The sum of two integers is -186. The larger integer is 14 less than
three times the smaller number. Find the two integers.
The values of the two integers are -43 and -143.
What are the values of the two integers?Let the value of the smaller integer be "x".
Smaller integer = xLarger integer = 3x - 14Sum of the integers = -186Since, the sum of two integers is -186.
Smaller integer + Larger integer = -186
x + ( 3x - 14 ) = -186
Solve for x
x + 3x - 14 = -186
4x - 14 = -186
4x = -186 + 14
4x = -172
x = -172/4
x = -43
Hence;
The smaller integer = x = -43
The largere integer = 3x - 14 = 3(-43) - 14 = -143.
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Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT
The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.
To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:
x | y
-------
O | 1
X | 4
2 | 3
3 | 2
3 | 5
4 |
5 |
From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.
This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).
Therefore, the given table does not represent a function.
The correct answer is D. No, because one x-value corresponds to two different y-values.
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Round the number 78.372 to the nearest tenth.
Answer:
78.4
Step-by-step explanation:
Because 7 is very close to 10 so 78.4 is the correct answer
What number must be added to the expression below to complete the
square?
x² - 18x
Answer:
\(\boxed {\boxed {\sf 81}}\)
Step-by-step explanation:
The standard form of a quadratic is:
\(ax^2+bx+c\)
To complete the square, the a (leading coefficient) must be 1 and there can only be terms with variables on one side.
The expression given:
\(x^2-18x\)
follows these rules. Next, we divide the b (linear coefficient) by 2, then square it. Basically:
\((\frac{b}{2})^2\)
The b in the expression is -18.
\((\frac{-18}{2})^2\)
\((-9)^2= -9*-9= 81\)
This is the number that is added.
An observer, who is standing 47 m from a building, measures the angle of elevation of the top of the building as 30˚. If the observer’s eye is 167 cm from the ground, what is the exact height of the building?
9514 1404 393
Answer:
28.81 m
Step-by-step explanation:
The tangent relation can help find the height of the building above the observer's eye.
Tan = Opposite/Adjacent
Opposite = Adjacent·Tan
above eye height = (47 m)(tan 30°) ≈ 27.14 m
Adding this to the eye height gives the height of the building above the ground where the observer is standing.
27.14 m + 1.67 m = 28.81 m
The height of the building to the nearest centimeter is 28.81 meters.
SOMEONE PLSSS HELP MEE AND PLEASE DONT JUST TYPE FOR FUN ALSO ILL GIVE BRAINLESS TO WHOEVERS RIGHT
Solve. −3 2/3=x−1 1/4 What is the solution to the equation? Enter your answer as a simplified mixed number in the box.
Question
Solve.
x−(−2 7/8)=−1/2
What is the solution to the equation?
Enter your answer as a simplified mixed number in the box.
Question
Solve.
−2 1/3x=−1 3/4
What is the solution to the equation?
Enter your answer as a simplified fraction in the box.
Answer:x-(2 7/8)=1/2
Step-by-step explanation:
Bernadette is making a quilt. She needs 6 square yards of green fabric, 4 square yards of purple fabric and 10 square yards of white fabric. How many square feet of fabric is this in total?
Answer:
60 feet
Step-by-step explanation:
6 + 4 + 10 = 20 yards
20 yards = 60 feet (20 * 3 feet = 60 -> 3 feet in a yard)
Answer:
60 Square Feet
Step-by-step explanation:
Find the approximate length of the bolded arc.
Answer:
Step-by-step explanation:
Ana has $75 and saves an additional $13 per week. Which equation can be used to find how many weeks it will take until she has $452?
Group of answer choices
452 + 13w = 75
75 + 13w = 452
13w – 75 = 452
75 + w = 452
Answer:
75 + 13w = 452
Step-by-step explanation:
because u need to find 452 and you have 75 extra and getting 13 weekly
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The scale factor and the value of x for each figure is given as follows:
A) Scale factor of 1/3, x = 7 m.
B) Scale factor 0.4747, x = 4.5 in.
How to obtain the scale factor and the value of x?For Figure A, we have that the ratio between the areas is given as follows:
510/4590 = 1/9.
As the area is measured in square units, while the side lengths are measured in units, the scale factor is the square root of 1/9, hence it is given as follows:
1/3.
Then the value of x is obtained as follows:
x = 21 x 1/3
x = 7 m.
For Figure B, we have that the ratio between the areas is given as follows:
16/71 = 0.22535.
The scale factor is then the square root of 0.22535, which is given as follows:
0.4747.
Then the value of x is given as follows:
x = 9.5 x 0.4747
x = 4.5 in.
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Solve for x round to the nearest hundredth
27=(1/3)^x
The value of x is x = -3.
What is solving an equation?
Finding an equation's solutions, or the values that satisfy the condition given by the equation, is known as solving an equation in mathematics. Solutions often consist of two expressions connected by an equals sign. One or more variables are marked as unknowns in order to find a solution.
Consider the given equation,
27 = (1/3)^x
This equation can be written as,
\(27 = \frac{1^x}{3^x}\)
Here 1^x
1\(27 = \frac{1}{3^x}\)
Take 3^x on numerator.
\(27 = 3^-^x\)
Now 27 can be written as, \(27 = (3)(3)(3) = 3^3\)
⇒ \(3^3 = 3^-^x\)
Applying the exponent rule: \(a^b=a^c\) ⇒ b = c
So we get,
3 = -x
Multiply both sides by -1.
-3 = x
x = -3
Hence the value of x is x = 3.
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−2 1/6 divided by 1 1/4
100 points
Answer:
-1 11/15Step-by-step explanation:
−2 1/6 divided by 1 1/4:
-2 1/6 ÷ 1 1/4 = - 13/6 ÷ 5/4 = - 13/6 × 4/5 = - 26/15 =-1 11/151) to divide that mixed number we'll need to turn it into an improper fraction:
\( - 2\frac{1}{6} = - ( \frac{6 \times 2 + 1}{6} ) = - \frac{13}{6} \\ 1 \frac{1}{4} = \frac{4 \times 1 + 1}{4} = \frac{5}{4} \)
2) now let's divide it, reciprocating 1 1/4 and multiplying both fractions one by another:
\( - \frac{13}{6} \times \frac{4}{5} = - \frac{52}{30} = - \frac{26}{15} \)
3) Hence the answer is -26/15
7 The diagram shows a water tank. The tank is a hollow cylinder joined to a hollow hemisphere at the top.
The tank has a circular base.
-46 cm
90 cm
Diagram not
accurately drawn
Both the cylinder and the hemisphere have a diameter of 46 cm. The height of the tank is 90 cm.
Work out the volume of water which the tank holds when it is full. Give your answer, in cm³,
correct to 3 significant figures.
S
[Edexcel]
The volume of water which the tank holds when it is full is 136830 cm³.
What is volume?The amount of space a three-dimensional solid shape takes up is referred to as its volume. Though difficult to visualise in any shape, it can be compared to others. In comparison to an eraser placed inside of it, a compass box has a larger volume. The area of any two-dimensional shape can be calculated by splitting it into equal squares. When calculating the volume of solid shapes, equal cubical units will also be divided.
If the both have diameter of 46 cm then the height of hemisphere is
46/2 = 23 cm = radius
Height of the cylinder = 90 - 23
= 67
Volume of hemisphere + Volume of cylinder = volume of water
volume of water = (2/3)πr³ + πr²h
volume of water = (2/3)π(23)³ + π(23)²×67
= 136830 cm³
= 136.83 l
Thus, the volume of water which the tank holds when it is full is 136830 cm³.
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There's another silence as Steve looks toward the crowd and then toward Tommy. He wears a tight grin.
STEVE
Based on the clues in this passage, what will most likely happen next?
• The neighbors will stop doubting Tommy.
Well, I guess what we'd better do then is to run a check on the neighborhood and see which ones of us are really human.
• The neighbors will stop taking Steve seriously.
• The neighbors will continue to joke about the situation.
There's laughter at this, but it's a laughter that comes
from a desperate attempt to lighten the atmosphere. It's a • The neighbors will begin checking to see who is release kind of laugh.
really human.
36. GROUP SHOT - THE PEOPLE 36.
As they look at one another in the middle of their laughter.
-The Monsters Are Due on Maple Street,
Rod Serling
Answer:
5
Step-by-step explanation:
In a sequence of numbers,
a₁ = -6, a3 = 4, a5 = 14, a6 = 19,
and a 24. Based on this
information, which equation
can be used to find the nth
term in the sequence, an?
Answer:
Step-by-step explanation:
To find the equation for the nth term in the sequence, we need to determine the pattern or rule that generates the sequence.
From the given information, we can see that the sequence is not arithmetic because the differences between consecutive terms are not constant. Instead, the sequence appears to be quadratic because the second difference between consecutive terms is constant.
Using the given values of a₁, a₃, and a₅, we can find the first few differences:
a₃ - a₁ = 4 - (-6) = 10
a₅ - a₃ = 14 - 4 = 10
So, the first difference is 10, which indicates a linear term in the equation for an. We can now use the given value of a₁ and the first difference to find the constant term in the quadratic equation. Let d be the common difference, then we have:
a₂ = a₁ + d = -6 + 10 = 4
a₄ = a₃ + d = 4 + 10 = 14
a₆ = a₅ + d = 14 + 10 = 24 - 1
a₇ = a₆ + d = 24 - 1 + 10 = 33
Now, we can find the second difference between consecutive terms:
a₄ - 2a₃ + a₂ = 14 - 2(4) + (-6) = 0
a₆ - 2a₅ + a₄ = 19 - 2(14) + 4 = -5
a₇ - 2a₆ + a₅ = 33 - 2(19) + 14 = 9
Since the second difference is constant (-5), this confirms that the sequence has a quadratic term in its equation. Let's assume the equation for the nth term is:
an = an² + bn + c
Substituting the values we know, we get three equations:
a₁ = a₁² + b₁ + c --> -6 = c
a₃ = a₃² + b₃ + c --> 4 = 9a + b + c
a₅ = a₅² + b₅ + c --> 14 = 25a + 5b + c
Solving this system of equations, we get:
a = 1/2, b = 19/2, and c = -6
Therefore, the equation for the nth term in the sequence is:
an = (1/2)n² + (19/2)n - 6.
Leslie joins a fitness club that has an
initial fee of $20 plus a monthly fee of
$15. Rashad's club charges $40 initially
plus $10 per month. In how many months
will the clubs cost the same?
O 4 months
0 5 months
O 8 months
O 2 month
Answer:
4 months
Step-by-step explanation:
Leslie's equation: y = 15x + 20
Rashad's equation: y = 10x + 40
you can put them both in a table or substitute each answer option for x in both equations and see when they're equal
if you substitute 4 for x, both equation equal 80
Which of these equations, when solved, gives a different value of x than the other three?
9.1 = -0.2x + 10
10 = 9.1 + 0.2x
10 – 0.2x = 9.1
9.1 – 10 = 0.2x
Answer:
D. 9.1 – 10 = 0.2x
Step-by-step explanation:
I got it right
The odd equation with a different value is equation d
Data;
9.1 = -0.2x + 1010 = 9.1 + 0.2x10 - 0.2x = 9.19.1 - 10 = 0.2xLinear EquationTo solve this problem, we have to solve each of the linear equations and get the value of x.
a)
\(9.1 = -0.2x + 10\\10 - 9.1 = 0.2x\\0.9 = 0.2x\\\frac{0.2x}{0.2} = \frac{0.9}{0.2} \\x = 4.5\)
b)
\(10 = 9.1 + 0.2x\\0.2x = 10 - 9.1\\0.2x = 0.9\\\frac{0.2x}{0.2} = \frac{0.9}{0.2} \\x = 4.5\\\)
c)
\(10 - 0.2x = 9.1\\-0.2x = 9.1 - 10\\-0.2x = -0.9\\x = 4.5\)
d)
\(9.1 - 10 = 0.2x\\0.2x = -0.9\\x = -4.5\)
The odd equation with a different value is equation d
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What is the distance between point T (-5,1) and point I (-1,1)
The distance between point T (-5, 1) and point I (-1, 1) is 4 units.
To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:
Distance = √((x2 - x1)² + (y2 - y1)²)
Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):
x1 = -5, y1 = 1 (coordinates of point T)
x2 = -1, y2 = 1 (coordinates of point I)
Plugging these values into the formula, we have:
Distance = √((-1 - (-5))² + (1 - 1)²)
= √(4² + 0²)
= √(16 + 0)
= √16
= 4
Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.
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Brain Builders
Trail
A
00
с
D
Processes
9. & Practices Model Math The
table shows the lengths of four trails
at a horseback riding camp. The
estimated length of all four trails is
12 miles. Find a possible length for
trail D. Show your work.
Length (mi)
2.6
1.8
4.2
Jerry has $5 and $10 bills in his wallet. He has a total of 7 bills in his wallet for a total of $50. How many bills does he have of each?
Answer:
Step-by-step explanation:
Mrs. Lodge is having new floor tiles installed in her kitchen. She is paying the flooring company $170.25 for the tiles and an installation fee of $3.78 per square foot. She receives a total bill of $586.05 for the job. Which equation could be used to find the number of square feet (x) of tile Mrs. Lodge is having installed?
The weight of an object on the moon is
1 of its weight on Earth. If a moon rock
weighs 20 lb on Earth, how much did
the moon rock weigh on the moon?
Answer:
10 lb on planet earth which turns very slowly
Answer:
10 pounds on planet earth which turns very slowly
Step-by-step explanation:
Calculate the loss on selling 50 shares of stock originally bought at 13 3/4 and sold at 12
The loss on selling 50 shares of stock would be 87.50.
To calculate the loss on selling 50 shares of stock originally bought at
\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.
First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.
Next, we calculate the difference between the purchase price and the selling price:
\(13.75 - 12 = 1.75.\)
Finally, we multiply the difference by the number of shares sold:
\(1.75 \times50 = 87.50.\)
Therefore, the loss on selling 50 shares of stock would be 87.50.
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On a service call, your technician used one contractor the cost you $17.50, one capacitor that cost you$6.75, one motor that cost you $134, and miscellaneous items that cost you a total of $11.15. Time spent on the job was 3.5 hours and your labor cost is $28.50 per hour. Overhead for your company is 38% and you want to make 22% net margin. What must you charge the customer to achieve your profit target?
which statements about Ancient Greek life are shown by the story of perseus
How many commutes are exactly 68 minutes
Answer:
three
Step-by-step explanation:
stem. is the tens place and the leaf is the. ones place
so you want to find 68 so you look in the stem column and look for six
in the row there are 6 numbers which mean:
60, 61, 67, 68, 68, 68
as you can see there is three 68 there for the answer ths 3
Alexander invested $320 in an account paying an interest rate of 1.5% compounded annually. Assuming no deposits or withdrawls were made , how much money , to the nearest hundred dollars , would be on the account after 18 years
Answer:
The amount is $418.35 and the interest is $98.35
Step-by-step explanation: