[tex]\\ \qquad\quad\sf{:}\dashrightarrow V=\dfrac{4}{9}πr^3[/tex]
It is one third of the solid. sphere[tex]\\ \qquad\quad\sf{:}\dashrightarrow V_{(Sphere)}[/tex]
[tex]\\ \qquad\quad\sf{:}\dashrightarrow 3\left(\dfrac{4}{9}πr^3\right)[/tex]
[tex]\\ \qquad\quad\sf{:}\dashrightarrow \dfrac{4}{3}\pi r^3[/tex]
Now
[tex]\\ \qquad\quad\sf{:}\dashrightarrow \pi r^3=\dfrac{3V}{4}[/tex]
[tex]\\ \qquad\quad\sf{:}\dashrightarrow r^3=\dfrac{3V}{4\pi}[/tex]
[tex]\\ \qquad\quad\sf{:}\dashrightarrow r=\sqrt[3]{\dfrac{3V}{4\pi}}[/tex]
Step-by-step explanation:
hmmm.
the other answer says the volume of a wedge is
4/9 × pi×r³
but I read here only
4/9 × pi³
so, what is correct ?
if I assume my reading is correct, then the solution is actually
4/9 × pi×r³ = 4/9 × pi³
pi×r³ = pi³
r³ = pi²
[tex]r = \sqrt[3]{ {\pi}^{2} } [/tex]
and that would mean
r ≈ 2.145
3a+2b=17, b = 4a -30
Answer:
3a+2b=17
soln
3a+2b=17
3a+2b-2b=17-2b
3a=17-2b
3a/3=17/3-2b/3
a=17-2b/3
2/5 (z+ 1) = y for z
Answer:
z = 5y/2 - 1
Step-by-step explanation:
Solve for z
by simplifying both sides of the equation, then isolating the variable.
solve for x -7=2x+3 simplify the equation as much as possible
hi <3
2x + 3 = -7
subtract 3 from both sides:
2x = -10
divide both sides by 2:
x = -5
hope this helps :)
What is the volume of the rectangular prism?
3 in.
4 in.
54 in.
O A
A 12 in.
O
00
24 in 3
o
C
60 in
D. 73, in
in 3
.
Answer:
71.75 in^3
Step-by-step explanation:
If the values are
3 1/2in 5 1/4in 4in
then multiply all three of them
71.75 in^3
Hope I helped!
NCERT Portion, grade 8, Lesson 1. Rational numbers
Answer:
[tex]-\frac{43}{70}[/tex]
Step-by-step explanation:
One is given the following equation,
[tex]\frac{2}{3}*\frac{-3}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}[/tex]
Simplify, use the order of operations. The order of operations is a sequence by which one must simplify an equation. This sequence is the following,
1. Parehtensis
2. Exponents
3. Mutliplcaiton or Division
4. Addition or subtraction
Simplify the given expression. Remember, when multiplying fractions, one must cancel out like terms or factors that can be found in both the numerator and denominator,
[tex]\frac{2}{3}*\frac{-3}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}[/tex]
[tex]\frac{-2}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}[/tex]
[tex]\frac{-2}{7}-\frac{1}{14}-\frac{9}{35}[/tex]
Convert to the least common denominator. In this case, the least common denominator is (70). Remember to multiply both the numerator (number over the fraction bar) and denominator (number beneath the fraction bar) to convert the denominator.
[tex]\frac{-2}{7}-\frac{1}{14}-\frac{9}{35}[/tex]
[tex]\frac{-2}{7}*\frac{10}{10}-\frac{1}{14}*\frac{5}{5}-\frac{9}{35}*\frac{2}{2}[/tex]
Simplify,
[tex]\frac{-2}{7}*\frac{10}{10}-\frac{1}{14}*\frac{5}{5}-\frac{9}{35}*\frac{2}{2}[/tex]
[tex]\frac{-20}{70}-\frac{5}{70}-\frac{18}{70}[/tex]
[tex]-\frac{25}{70}-\frac{18}{70}[/tex]
[tex]-\frac{43}{70}[/tex]
These are AP statistics multiple choice questions. I don’t know if I got them correct but can double you check for me?
Answer:
first question
mean = 5.11
median = 6
mean = sum of the terms
number of terms
= 271
53
= 5.11
median is the 27th (arrange lowest to highest number)
conclusion, the median is higher than mean, the answer is B.
sec question
a is the answer
third question
a is the answer
last question
mean = 60838
median = 60000
the answer is B
Choose the expression that represents the fraction one-sixteenth.
A. 1 ÷ 6
B. 1 ÷ 16
C. 16 ÷ 1
D. 6 ÷ 1
Answer:B. 1 divided by 16
Step-by-step explanation:
i dont know it might be b Or c
just my guess
can anyone help me solve this function please?
Answer:
f(-5) = 19
Step-by-step explanation:
f(t) = -3t+4
Let f(t) = 19
19 = -3t+4
Subtract 4 from each side
19 - 4 =-3t+4-4
15 = -3t
Divide each side by -3
15/-3 = -3t/-3
-5 = t
Answer:
the answer is -5
Step-by-step explanation:
F(t)=-3(t)+4
it told you that F(t) is equal to 19
so -3*-5=15+4=19
Find the distance between (-3,-11) and (8,-42)
Answer:
√2930
Step-by-step explanation:
The distance formula is
√((difference between x values)² + (difference between y values)²)
= √((-3 - 8)² + (-11 - (-42))²)
= √((-11)² + (31)²)
= √1082
Marco surveyed the first 10 people
who arrived at the pool. He asked
them what they thought was the
best time to close the pool.
The best time to close the pool is the evening from 4 to 7 pm.
This is called the taking of average among all possible samples.
What is problem-solving?Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.This can also be solved using mean, mode or median is data is given.
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what does X equal? giving 50 points
There are two precalculus sections at a high school. Mr. Abel's class has 10 girls and 6 boys, while Mr. Bonitz's class has 10 girls and 12 boys. If a precalculus student chosen at random happens to be a girl, what is the probability she is from Mr. Abel's class?
Answer:gggggggggg
Step-by-step explanation:
gggggggggggggggggggggggggggggggggggggg
por favor sumar 3/4 4/5 7/8
97/40 = 2 17/40
En decimals: 2.425
The perimeters of the two rectangles at right are equal. Write and solve an equation to find the value of x and the common perimeter. (desperate need of help)
Answer:
write the expression for the perimeter of the 1st rectangle 6x
write the expression for the perimeter of the 2nd rectangle 4x + 30
write the equation 6x = 4x + 30
x= 15
perimeter = 90
Step-by-step explanation:
The perimeter is adding up all the sides of the rectangle.
So for the first one, we know two of the sides: x and 2x. The opposite sides have the same values. So the other two sides are x and 2x.
Therefore, the perimeter is
2x + x + 2x + x
or
6x
Similarly with the second rectangles:
(x+12) + (x+3) + (x+12) + (x+3)
Combine like terms
x + x + x + x + 12 + 3 + 12 + 3
4x + 30
Set these two equal to each other because the two perimeters are equal
6x = 4x + 30
Subtract 4x on both sides
2x = 30
Divide by 2 on both sides
x = 15
Check:
6(15) = 4(15) + 30
90 = 60 + 30
90 = 90
The common perimeter is
6*15 = 90 units
Due today:
At a local car dealer, the ideal selling price of a car is $22,000. The dealer allows this price to vary $1200 .
Create an absolute value inequality that models the range of the price the dealer can sell the car. (Hint: Test your inequality to make sure the price is $1200 below and above the selling price works.)
We know that:
The ideal selling price is P = $22,000
The price can vary dP = $1,200
let's define p as the variable that represents the possible prices of the car.
We will find that the absolute value equation that represents this is:
|p - $22,000| ≤ $1,200
Now let's see how we get that, using the initial information we can get:
The minimum price can be:
mP = P - dP = $22,000 - $1,200 = $20,800
The maximum price can be:
MP = P + dP = $22,000 + $1,200 = $23,200
Then the range of allowed prices is:
mP ≤ p ≤ MP
$20,800 ≤ p ≤ $23,200
To write this as an absolute value equation, we use the general formula:
Ix - average| ≤ amount that it can vary
Replacing it with our values we get:
|p - P| ≤ dP
|p - $22,000| ≤ $1,200
Concluding, the absolute value equation that we wanted to find is:
|p - $22,000| ≤ $1,200
If you want to learn more, you can read:
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how can i solve this equation
Answer:
D. -1.44 and 2.44
Step-by-step explanation:
[tex]f(x) = 2 {ax}^{2} + (3 - b)x + 7[/tex]
is equal to:
[tex]g(x) = (a - 1) {x}^{2} + 2bx + 7[/tex]
•◇•◇○◇•◇•
➡️ [tex] - 2 {x}^{2} + 2x + 7 = 0[/tex]
➡️ [tex]Δ = {b}^{2} - 4ac = 4 - 4 \times 7 \times ( - 2) = 60 = \sqrt{Δ} = 7.746[/tex]
➡️ [tex]x = \frac{ - b± \sqrt{Δ} }{2a} = \frac{ - 2± 7.746}{ - Δ} [/tex]
➡️ [tex] x_{1} = \frac{ - 2 + 7.746}{ - 4} = - 1.44[/tex]
➡️ [tex] x_{2} = \frac{ - 2 - 7.746}{ - 4} = 2.44[/tex]
Simplify the expression
by combining like terms.
3y2+2y-y2+y
Answer:
= 3y2-y2+2y+y
= 2y+3y
= 5y
(PLEASE SOLVE THIS I JUST NEED TO KNOW CHECK MY ANSWER PLEASE EXPLAIN AS WELL)
Answer:
105
Step-by-step explanation:
219+(-114)=219-114=105
Find the midpoint of the segment
Answer:
Mid point
x = 7 + (-3)/2. y = -3 + 11/2
x = 7-3/2. y = 8/2
x = 2. y = 4
Midpoint = (2,4).
How many solutions does this equation have?
–3h = 1 − 3h
area of square field is 617796cmsquare. find length of its each side.
Answer:
Answer is 786 cm
Step-by-step explanation:
√617796 =786
To mail a package, a customer must determine the volume of the package to get the postage price. If a
package were a cube with side 12 inches, which of the following expressions would a customer use to
determine the volume? (The volume of a cube with edges of length s is s^3.)
12x3
12x4
12^3
square root of 12
Answer:
12^3
Step-by-step explanation:
The volume of a cube is the length of it's size raised to the power 3, so if the length is 12, the volume will be 12³ or 12^3
Fill in the blanks in the following sentence from the choices below describing the Real number system. 1 The _____ numbers, are fully contained in the _____ numbers, which are fully contained in the _____ numbers which are fully contained in the _____ numbers.
Choose from the words:
Integer, Irrational, Natural, Rational or Whole.
Answer:
1. Natural
2. Whole
3. Integer
4. Rational
The correct answer would be as: The Real number system. 1 The "Natural" numbers are fully contained in the "Whole" numbers, which are fully contained in the" Integer "numbers which are fully contained in the "Rational "numbers.
What are Natural Numbers?Natural numbers are defined as which range from 1 to infinity, are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.
For example 1, 2, 3, 4, 5, 6, and so on.
What are Integers?Integers are defined as the collection of Whole Numbers and the negative values of Natural Numbers make up an integer. Fractional numbers are not included in integers. Integers are represented by the symbol Z.
The Real number system. 1 The "Natural" numbers are fully contained in the "Whole" numbers, which are fully contained in the" Integer "numbers which are fully contained in the "Rational "numbers.
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please help me with this math is for my math homework
Answer:
that answer is (1)
hope that helps you
9514 1404 393
Answer:
1
Step-by-step explanation:
You can put either number in the form of the other to see they are equal. A number divided by itself gives a quotient of 1.
-1 1/10 = -(10·1 +1)/10 = -11/10 . . . . . matches the denominator
or
-11/10 = -1 1/10 . . . . . matches the numerator
__
(-11/10)/(-11/10) = 1 . . . . your quotient
_____
Additional comment
Here, we see that both numbers in the problem are negative, so we have an even number of minus signs. That means the quotient will be positive. Knowing this lets us eliminate the minus signs from the problem.
As you may know, there are a couple of (fully equivalent) ways to divide fractions.
1) "invert and multiply" or "dot swap"
(11/10) ÷ (11/10) = (11/10) · (10/11) . . . . . . . the denominator has been inverted
= (11·10)/(10·11) = 110/110 = 1
2) use the numerators when the denominators are equal.
(11/10) / (11/10) = 11/11 = 1 . . . . denominators of the fractions are both 10
93,487,991 to the nearest hundred thousand
Answer:
93,500,000
Step-by-step explanation:
Rounding rule:
1) If the digit directly next to the one you are finding is 5 or greater, round up.
2) If the digit is 4 or less, round down.
Note the hundred thousands place value (underlined and bolded):
93,487,991
Look at the digit value directly next to the place value you are looking for. The value of the digit is 8. Because 8 is greater then 5, round up:
93,487,991 rounded to the nearest hundred thousand is 93,500,000.
~
2
614
eft
3.
9m
Please help
2.
[tex] area=\frac{1}{2} \times 6 \times 8 \\ = 24 [/tex]
3.
[tex]area = \pi \times 9m \\ = 3.14 \times 9 \\ = 28.26 {m}^{2} [/tex]
Please help ill mark brainliest dont forget explanation too please
Read the image below
The cafe employees 20 staff 12 of them are men what is the percentage of women
PLEASE HELP MEE
Answer:
40 % are women
Step-by-step explanation:
20 - 12 = 8 / 20
what is x when the tangent of 25 equals x over 11?
Answer:
x = 5.12938423
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.