Answer:
65.97
Step-by-step explanation:
The formula for the volume of a cone is V=1/3hπr².
Step-by-step explanation:
answer is 65.97 hope it helps
Solve the addition equation by finding a common multiple.
one half plus three fourths plus seven sixteenths equals blank
fourteen sixteenths
eleven sixteenths
sixteen twenty sevenths
twenty seven sixteenths
Answer:
27/16
Step-by-step explanation:
1/2+3/4+7/16=...
8/16+12/16+7/16=27/16
A train traveled 162 miles in 3 hours. At the rate, how many miles will the train travel in 1/3 hour?
A.36mi
B.18mi
C.27mi
D.54mi
Answer:
B. 18 (approximately)
Step-by-step explanation:
54 * 1/3 =
54 = total miles traveled (per hour)
1/3 = hours traveled
By rounding each number to 1 significant place estimate the answers to:
a)763 x 42 / 82
b) 39 x 52 / 3. 8 x 4. 9
a) To estimate the answer for 763 x 42 / 82, we round each number to 1 significant place: The estimated answer for 39 x 52 / 3.8 x 4.9 is 50.
763 becomes 800 (rounding to the nearest hundred)
42 becomes 40 (rounding to the nearest ten)
82 becomes 80 (rounding to the nearest ten)
Now we can calculate the estimated answer: 800 x 40 / 80 = 400.
So, the estimated answer for 763 x 42 / 82 is 400.
b) To estimate the answer for 39 x 52 / 3.8 x 4.9, we round each number to 1 significant place:
39 becomes 40 (rounding to the nearest ten)
52 becomes 50 (rounding to the nearest ten)
3.8 becomes 4 (rounding to the nearest whole number)
4.9 becomes 5 (rounding to the nearest whole number)
Now we can calculate the estimated answer: 40 x 50 / 4 x 5 = 1000 / 20 = 50.
So, the estimated answer for 39 x 52 / 3.8 x 4.9 is 50.
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If (x + 2) is a factor of x3 − 6x2 + kx + 10, k
Answer:
k = -11
Step-by-step explanation:
Let \(p(x) = x^3-6x^2+kx+10\)
And x+2 is a factor of p(x)
Let x+2 = 0 => x = -2
Putting in p(x)
=> p(-2) = \((-2)^3-6(-2)^2+k(-2)+10\)
By remainder theorem, Remainder will be zero
=> 0 = -8-6(4)-2k+10
=> 0 = -8-24+10-2k
=> 0 = -22-2k
=> -2k = 22
Dividing both sides by -2
=> k = -11
Find the sum of 382 - 8 - 10 and 1042 +2 - 10.
Answer:
364 and 1034
Step-by-step explanation:
Noah manages trends orchard which produces many different types of fruit including pears there are more pastries that have been planted in the orchard the more barrels of pear the orchard will produce
From the information available, pear trees are planted and as more of them are planted then more barrels of pears will be produced.
This means the number of barrels will DEPEND on the number of trees planted, whereas the number of trees planted can be any amount and does not depend on the number of barrels.
ANSWER:
P is independednt and B is dependent
Where
p = number of pear trees that have been planted in the orchard
b = the number of barrels of pears the orchad will produce
Opal plots point D at (Negative 3 and one-half, one-half). Which graph shows the location of point D?
A.
B.
C.
D.
Answer:
ITS
Step-by-step explanation:
BBBBBBBBB
Write an absolute value inequality to represent each situation.
A friend is planning a trip to Alaska. He purchased a coat that is recommended for outdoor temperatures from -15⁰ F to 45⁰F . Let t represent the temperature for which the coat is intended.
Answer: |t - 15| ≤ 30 ; -30 ≤ t - 15 ≤ 30
Step-by-step explanation:
To set up the equation, we have to find the center, and the tolerance, so that we can use formula "|x - c| ≤ t"
First, we can find the tolerance by adding both number, then dividing by 2 --> -15 + 45 = 30 --> 30/2 = 15, so we now know that the center is 15
Next, we can find the tolerance by finding the distance between the center and one of the number --> 15 - (-15) = 30, so we now know that the tolerance is 30
Now we can set up our equation,
center (c) = 15
tolerance (t) = 30
|t - 15| ≤ 30
Now that we have our equation, we can set up the inequality
|x - c| ≤ t = -t ≤ x - c ≤ t
so,
-30 ≤ t - 15 ≤ 30
Hope this helps!
(sorry it was so long)
Are they equivalent? choose the answer that is paired with the correct reason.
responses
yes, the ratios simplify to 1/2
yes, the ratios simplify to 1/2
yes, the ratios simplify to 1/3
yes, the ratios simplify to 1/3
yes, the ratios simplify to 1/4
yes, the ratios simplify to 1/4
no, the ratios do not simplify to the same fraction.
No they are not equivalent and no, the ratios do not simplify to the same fraction.
What is Ratio?
A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.
Concept:
If two or more ratios have the same simplified forms, they are equal. Therefore, we must multiply the two amounts by the same number in order to discover a ratio that is equivalent to another.
The provided ratio can also be expressed as a fraction, and the numerator and denominator can then be multiplied by the same amount to get equal fractions. Alternatively, the resulting fraction can be expressed as an equivalent ratio.
Additionally, we can obtain the simplest form of a ratio by dividing two numbers by their highest common factor when comparing any two equivalent ratios. We can thus compare them.
These are some instances of equivalent ratios:
2 : 4 :: 4 : 8
10 : 20 :: 20 :40
1 : 2 :: 2 : 4
0.5 : 1 :: 2:4
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Clare is painting some doors that are all the same size. She used 2 liters of paint to cover 1 3/5 doors. How many liters of paint are nedded for 1 door? Draw a diagran to represent the situation.
so we have that to paint 1 door we have to use:
\(\frac{2}{\frac{8}{5}}=2\cdot\frac{5}{8}=\frac{5}{4}=1\frac{1}{4}\)so we have to use 1 1/4 liter to paint one door
Question 29 of 30 Use the formula for finding surface area of A= PH + 2B + Solve for P Select the correct response
Answer: we know that
The formula to calculate the surface area of a prism is equal to
where
P is the perimeter of the base
h is the height of the prism
B is the area of the base
solve the formula for h
That means ----> isolate the variable h
Subtract 2B both sides
Divide by P both sides
Rewrite
What is the formula for the circumference of a circle? c = pi r squared c = 2 pi r c = 2 pi r squared c = pi r cubed
The formula for the circumference of a circle is "c = 2 pi r", where "c" represents the circumference, "pi" represents the mathematical constant pi (approximately equal to 3.14159), and "r" represents the radius of the circle.
This formula relates the distance around a circle to its size, and is useful for calculating various measurements related to circles, such as arc length and sector area. It is important to note that the formula for the circumference of a circle assumes the circle is a perfect, unbroken curve, and thus may not be accurate for circles that are not perfectly round.
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Match the following. Match the items in the left column to the items in the right column.
1. isosceles triangle
a triangle with one angle that measures 90°
2. right triangle
a triangle with no sides equal
3. obtuse triangle
a triangle with at least two equal sides
4. acute triangle
a triangle with one angle that measures more than 90°
5. scalene triangle
a triangle whose three sides all are the same length
6. equilateral triangle
a triangle with all angles measuring less than 90°
Answer:
Isosceles triangle = a triangle with at least 2 equal sides
Right triangle = a triangle with one angle that measures 90°
Obtuse triangle = A triangle with one angle that measures more than 90°
Acute triangle = A triangle with all angles measuring less than 90°
Scalene triangle =a triangle with no sides equal
Equilateral triangle = a triangle whose three sides all are the same length
Answer:
acute triangle a triangle with no angle measuring 90° or more
equilateral triangle a triangle whose three sides all are the same length
isosceles triangle a triangle with at least two equal sides
obtuse triangle a triangle with one angle that measures more than 90°
right triangle a triangle with one angle that measures 90°
scalene triangle a triangle with no sides equal
Step-by-step explanation:
draining 15 gallons of water from a fish tank
(Write your answer as an integer)
Answer:
-15
Step-by-step explanation:
if its just asking for what number would represent a loss of 15 it would be negative 15
i dont know if there's more to the problem or not
Answer:
-15
Step-by-step explanation:
This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,
hope this helps!
f:x= x/x+3 g:x= x-2 find fog=gof
The value of fog= gof is x² - 5x = 0
What are functions?
Functions are rules or expressions showing the relationship between an independent and dependent variable.
Given the functions:
f(x) = x/ x+ 3g(x) = x - 2fog(x) and gof(x) are both known as composite functions
If fog(x) = gof(x)
Then , we have
\(\frac{x - 2}{x -2 + 3} = \frac{x}{x + 3} -2\)
solve the fractions
\(\frac{x-2}{x -1} = \frac{2x - 2x +6}{x+3}\)
\(\frac{x -2}{x -1} = \frac{6}{x + 3}\)
cross multiply
(x -2) ( x+ 3) = 6 ( x -1)
expand the bracket
x²+ 3x - 2x - 6 = 6x - 6
collect like terms
x² - 5x + 0 = 0
x² - 5x = 0
Thus, the value of fog= gof is x² - 5x = 0
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Pls help:< this pattern follows the rule divide by 2, then add 4. what are the next two numbers? 280, 144, 76, ________, ________ 42, 25 38, 19 80, 84 74, 72
The next two numbers according to the patterns are 42 and 25.
What are patterns?A pattern in mathematics is a repeated arrangement of numbers, shapes, colors, and so on. The Pattern can be associated with any kind of event or object. A pattern is defined as a set of numbers that are related to one another in a specific way. Patterns are sometimes referred to as sequences.To find the next two numbers according to the pattern:
Given - the pattern rule is divided by 2, then add 4.
The last number is 76.
So,
76/2 = 38 + 4 = 42 42/2 = 21 + 4 = 25Therefore, the next two numbers according to the patterns are 42 and 25.
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The correct question is given below:
this pattern follows the rule divide by 2, then add 4. what are the next two numbers? 280, 144, 76, ________, ________.
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Select the real number subset that each number belongs to:
Answer choices are:
Rational
Integer, Rational
Whole, Integer, Rational
Natural/Counting, Whole, Integer, Rational
Irrational
Answer and Explanation:
A. \(4\dfrac{5}{9}\) → rational, as the number can be expressed as a ratio of whole numbers
B. -12 → integer, rational, as the number's absolute value is a whole number
C. 0 → whole, integer, rational, as zero is considered a whole number
D. 3π → irrational, as any multiple of pi cannot be represented as a ratio of two integers
A sample of scores has mean of M 26, median of 28, and a mode of 29 What is the most Iikely shape for the sample distribution? a. Symmetrical b. positively skewed c. negatively skewed d. cannot be determined from the information given
The most likely mean for the sample distribution is option c. negatively skewed.
Based on the given information, we know that the mean (M) is less than both the median and the mode. This suggests that the distribution is skewed to the left (negatively skewed), with a long tail on the left side of the distribution.
The mean of a sample distribution is the average value of all the observations or measurements in the sample. It is calculated by adding up all the values in the sample and dividing the sum by the total number of observations in the sample.
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how to write 24b^{2}+96b into a equivalent expression
Answer:
See below
Step-by-step explanation:
\(24b^2+96b\\\\24(b^2+4b)\\\\24b(b+1)\)
3h = 7 (2/7 - 3/7h) - 10
Answer:
h = -4/3
Step-by-step explanation:
Worked out on paper
Forest rangers at a state park have observed a decline in the rate of trees per
acre over a 5-year period. At the beginning of their observations, there was an average of 48 trees per acre. At the end of the 5-year period, there was an
average of 42 trees per acre. If this trend continues, how many trees per acre
will there be 412 years from the end of the 5-year observation period?
After 412 years there will be no trees at the state park.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
From the given information,
Slope(m) = (42 - 48)/(5 - 0).
Slope(m) = - 6/5.
b = 48, As y-intercept(0, 48).
Therefore, y = - (6/5)x + 48.
Now, y = - (6/5)×412 + 48.
y = - 446.4 trees per acre, But there will be no trees as it came out to be a negative value.
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can someone please explain how i do this
Answer:
base: 4
exponent: 3
numerator: 1
denominator: 64
Step-by-step explanation:
4^4 * 4^-2: Here you subtract 2 from 4 (just basic rules)
so you get 4^2/4^5
4^2/4^5: you subtract 5 from 2 (also basic rules)
then you would get 4^-3
To put in positive exponents you do 1/4^3
which gets you 1/64
Passing through (3, -3) and perpendicular to y=3x+5
Answer:
Find the negative reciprocal of the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line perpendicular to y=3x−5. y=−13x−2
Step-by-step explanation:
How many bars of soap and toothbrushes are in each package? HHEEELLLPP!!!
Y is the midpoint of XZ and W is the midpoint of VX.
If VZ=s+52 and WY=7s, what is the value of s?
Answer:
4
Step-by-step explanation:
By the triangle midsegment theorem, 2(YW)=VZ.
This means 2(7s)=s+52, and thus s=4.
help me with this ques. (need solution and answer both) thanks so much <3
Answer:
1.) 27a^11 + 18a^9 -72a^7
2.) 6p^4q^3 - 10p^3q + 4p^2q3
Step-by-step explanation:
1.) Distribute and do the math
-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2
27a^11 + 18a^9 -72a^7
2.) Distribute and do the math
2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2
6p^4q^3 - 10p^3q + 4p^2q3
There are 30 students in Mrs. Woodward's class and 1/5 of the class has their own cell phone. Of the students that have cell phones, 1/2 of them are allowed to use social media. How many of the students have a cell phone and can use social media?
Answer: 3 people
Step-by-step explanation:
1/5 of 30 will give us the number of students.
6
1/2 of 6, will give us the number of people who can use social media.
3 people.
Xeyz ds, c is the line segment from (0, 0, 0) to (2, 4, 3)
The line segment in question, denoted as "c," connects the points (0, 0, 0) and (2, 4, 3) in three-dimensional space.
In three-dimensional Cartesian coordinates, a line segment can be defined by its two endpoints. The given line segment "c" connects the point (0, 0, 0) in space to the point (2, 4, 3). These coordinates represent the x, y, and z values, respectively, of each point.
To understand the line segment visually, we can consider a three-dimensional coordinate system. The point (0, 0, 0) represents the origin, located at the intersection of the x, y, and z axes. The point (2, 4, 3) is positioned at x = 2, y = 4, and z = 3, in relation to the origin.
The line segment "c" can be visualized as a straight line connecting these two points. It extends from the origin in the direction of (2, 4, 3), forming a line with a slope determined by the difference in coordinates between the two endpoints. In this case, the slope would be (2/2, 4/4, 3/3), simplifying to (1, 1, 1).
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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.
A) 2.3p – 10.1 = 6.4p – 4
B) 2.3p – 10.1 = 6.49p – 4
C) 230p – 1010 = 650p – 400 – p
D) 23p – 101 = 65p – 40 – p
E) 2.3p – 14.1 = 6.4p – 4
Answer: Multiplying both sides of the original equation by 100 gives the same
the solution as follows;
100 × (2.3·p - 10.1) = 100 × (6.5·p - 4 - 0.01·p)
230·p - 1010 = 650·p - 400 - p
Step-by-step explanation:
I don't understand help
Answer:
B, C, and D.
Step-by-step explanation:
Every function can only have one X to every Y, but every Y can have multiple X's. since -9, -5, and 1 are already X terms in the function, they disprove his claim. I hope I helped.
Answer:
B,C, and D
Step-by-step explanation:
X values can't repeat in a function