Answer:
Step-by-step explanation:
Let consecutive odd integers be (2x + 1) and (2x + 3)
Their reciprocals are [tex]\frac{1}{2x + 1 }[/tex] and [tex]\frac{1}{2x + 3 }[/tex]
[tex]\frac{1}{2x+1}+\frac{1}{2x+3}=\frac{44}{483}\\\\\frac{1*(2x+3)}{(2x+1)(2x+3)}+\frac{1*(2x+1)}{(2x+3)(2x+1)}=\frac{44}{483}\\\\\frac{2x + 3 + 2x +1}{(2x + 1)(2x+3)}=\frac{44}{483}\\\\\frac{4x + 4}{4x^{2}+8x+3}=\frac{44}{483}\\[/tex]
483*(4x+4) = 44*(4x² + 8x + 3)
483*4x + 483*4 = 44*4x² + 44*8x + 44*3
1932x + 1932 = 176x² + 352x + 132
176x² + 352x + 132 -1932x - 1932 = 0
Combine like terms
176x² + 352x - 1932x - 1932 + 132 = 0
176x² - 1580x - 1800 = 0
Divide the equation by 4
44x² - 395x - 450 = 0
Sketch a graph of a function that has all of these properties:
The AROC on [-3,0] is -2 and the AROC on [1, 3] is 0.5.
The IROC at x=1 is -1 and the IROC at x=2 is 1.
AROC means average rate of change
IROC means instantaneous rate of change
Que valor en la ecuacion 3(x - 2) =7x+n tiene la solucion x=0
A. n = -6
B. n = -4
C. n = 3
D. n = 7
Answer: A. -6=n
Step-by-step explanation:
3(x - 2) =7x+n
3x-6=7x+n
-6=4x+n
-6=4(0)+n
-6=n
The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times longer than the base edge. The height of the pyramid can be represented as The of an equilateral triangle with length x is (x ^ 2 * sqrt(3))/4 * u * n * i * t * s ^ 2 times the The area of the hexagon base is area of the equilateral triangle . The volume of the pyramid is x ^ 3 * sqrt(3) * u * n * i * t * s ^ 3
1.) 3x
2.) area
3.) six
4.) 3/2
:)
Answer:
The height of the pyramid can be represented as
3x
The
area
of an equilateral triangle with length
The area of the hexagon base is
six
The volume of the pyramid is
3/2
Step-by-step explanation:
The scores for all the sixth graders at Roberts School on a statewide test are normally distributed with the mean of 76 and a standard deviation of 10.
What percent of the scores were below 66?
What is the probability that a student earned a score between 66 and 86?
Answer:
a) 15.866%
b) 0.68268
Step-by-step explanation:
The scores for all the sixth graders at Roberts School on a statewide test are normally distributed with the mean of 76 and a standard deviation of 10.
We solve the above question using z score formula
= z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 76
σ is the population standard deviation = 10
a) What percent of the scores were below 66?
x < 66
Hence,
z = 66 - 76/10
z = -1
Probability value from Z-Table:
P(x<66) = 0.15866
Converting to Percentage =
0.15866 × 100
= 15.866%
b) What is the probability that a student earned a score between 66 and 86?
For x = 66
Hence,
z = 66 - 76/10
z = -1
Probability value from Z-Table:
P(x≤ 66) = 0.15866
x = 66 = 0.15866
For x = 86
Hence,
z = 86 - 76/10
z = 1
Probability value from Z-Table:
P(x≤ 86) = 0.15866
x = 66 = 0.15866
Probability value from Z-Table:
P(x = 86) = 0.84134
The probability that a student earned a score between 66 and 86 is calculated as:
P(x = 86) - P(x = 76)
= 0.84134 - 0.15866
= 0.68268
Fill in the table using this function rule.
y=2+4x
Answer:
I'm sorry im not sure :-(
Step-by-step explanation:
Round 33.825 to the nearest hundredths in place
Answer:
33.83
Step-by-step explanation:
Answer:
33.83
^Hope this helps, Hazel^
He figures that the treasure is 3 units either to the east or south of the location of the last clue Which of these could be the location of the treasure?
А.
point (1.4) or point (-2.1)
В.
point (-5,4) or point (-2,1)
C.
point (1.4) or point (-2,7)
Answer:
a
Step-by-step explanation:
I did it on a graph
also sorry about the comment earlier my page wasn't syncing
9. Plot A(8,-4), B(3, -4), C(7, 1), and D(7.-3) in a coordinate plane.
Then determine whether AB and CD are congruent.
Answer:
Just put it into Geogebra Classic. It's an app that really helps with this kinda stuff
Please help fast!
Solve 2/3x-1/5>1
X>?
Answer:
x > 9/5
Step-by-step explanation:
2/3 x - 1/5 > 1
15 × 2/3x - 15 × 1/5 > 15 × 1
10x - 3 > 15
10x > 18
x > 18/10
x > 9/5
Sandy bought a soft drink for 2 dollars and 5 candy bars. She spent a total of $12. How much did each candy bar cost?
Answer:
If Sandy bought a soft drink for 2 dollars that's 2 dollars subtracted from the total of $12.00 spent
If we have 10 dollars and bought 5 candy bars we would divide so 10 divided by 5 = 2 so each candy bar costed $2 dollars
b Pete won the first heat in 13 minutes 39 seconds. Jacob won the second heat in 14 minutes 16 seconds. Who ran faster? By how much? t
In accordance with the research problem we were given, Pete outran Jacob by 37 seconds.
A second of angle is what?Minutes are the 60 equal pieces that make up each degree. Thus, 7 to 8 inches can also be written as seven degrees and thirty minutes, or seven°30'. For example, 2 ° 5 minutes and 30 seconds are represented by the notation 2° 5' 30 since each minutes is further subdivided into 60 equal seconds.
Then, we have Pete's time: First, we convert minutes into seconds. 13 minutes and 39 seconds is equal to 13 * 60 + 39, or 819 seconds.
Jacob's period: 14 minutes and 16 sec. = 14 * 60 + 16 sec. = 856 sec.
Jacob outpaced Pete by 856 – 819 = 37 seconds.
Pete ran 37 seconds faster as a result.
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PLEASE HELP i will give brainliest
9. Which activity would best result
in a scholarship award ?
Two angles are vertical angles. If one of the angles measures 35º and the other measures (4x+3)º, which algebraic equation can be used to solve for the value of x?
35 + 4x + 3 = 180
35 + 4x + 3 = 90
35 = 4x + 3
None of these are correct
4x + 3 = 90
35 = 4x+3
If they're vertical then they're worth the same or equal. So 4x+3 is equal to 35 and then you solve for x from there.
What data does the x-axis show?
25 points ***!!
Answer:
time in weeks
Step-by-step explanation:
A regular polygon has
Answer:
angles that are all equal and sides that all have the same length
Step-by-step explanation:
Answer:
A polygon is any shape with at least three straight sides,
and angles. It can only have straight sides and has to be closed.
Step-by-step explanation:
A polygon is any shape with at least three straight sides,
and angles. It can only have straight sides and has to be closed.
There is a stack of 10 cards, each given a different number from 1 to 10. Suppose we select a card randomly from the stack, replace it, and then randomly
select another card. What is the probability that the first card is an even number and the second card is less than 3?
Write your answer as a fraction in simplest form.
Answer:
1/10.
Step-by-step explanation:
The probability of getting an even card out of 10 cards numbered 1 - 10 is 1/2. The even numbers available are 2, 4, 6, 8, and 10 while the odd ones available are 1, 3, 5, 7, and 9. So half the outcomes could come out even.
The probability the second card is less than two is 1/5 (2/10 simplified). Since there are 10 cards with numbers 1-10, only two cards will have numbers less than 3, 1 and 2.
To find the total probability, multiply the two. (1/2) * (1/5) = 1/10. There is a 1 out of 10 chance that the first card is even and the second card is less than 3.
Pleaseeeeeee helpppppppp
Help
Construct a problem that is written in exponent form then explain the steps to converting a problem from exponent to radical form.
Step-by-step explanation:
Radicals and fractional exponents are alternate ways of expressing the same thing. ... These examples help us model a relationship between radicals and rational ... Problem. Write as an expression with a rational exponent. The radical form can be ... Change the expression with the rational exponent back to radical form.
PLZ HELP FAST!!
Which is a condition needed to apply Cavalieri’s Principle to compare the volume of two solids? Select all that apply.
Both solids have a square base
Both solids are spherical
Both solids have the same height.
Both solids have the same base area.
Both solids have the same base shape.
Cavalieri's principle states that if two solids of equal height have equal cross-sectional areas at every level parallel to the respective bases, then the two solids have equal volume.
PLEASE HELP ILL MAKE BRAINLIEST
Answer:
56°
Step-by-step explanation:
180 = 40 + (2x) + (3x)
180 - 40 = 40 + 5x - 40
140/5 = 5x/5
x = 28
2(28)
= 56
Answer:
m∠A = 56°
Step-by-step explanation:
A triangle contains 180°. So
180 - 40 = 140
2x + 3x = 140
5x = 140
x = 28
Now, plug in the value for x.
2(28) = 56
Check your work.
40 + 56 + 84 = 180
If the mass of the 5 coins is 25 grams, which measurement is closest to the total mass of the 2 pieces of candy?
91 is 10% of what number?
would i get the answer of : 91 already rounded to the nearest hundredths??? these formulas are confusing me help (using proportions to solve percent)
If the mean of A and B is 20 , the mean of B and C and the mean of A,B and C us 18 . What is the mwan of A and C
Answer:
the mean of A and C is 10
Step-by-step explanation:
Given that
The mean of A and B is 20
The mean of B and C is 24
And, the mean of A, B and C is 18
We need to find out the mean of A and C
Since the mean of A and B is 20
So, a + b = 20 × 2
= 40
Likewise for B and C it is 48
And, for A, B and C, it is 54
So,
a + b = 40
b + c = 48
a + b + c = 54
So if we put the value of b + c in the above equation
a + 48 = 54
a = 6
b = 34
c = 14
Now the mean of the A and C is
= (6 + 14) ÷ 2
= 10
Hence, the mean of A and C is 10
you have 11 art projects that weigh 24 pounds. If you give you mom 7 of your art projects, how much would her box weigh?
The weight for mom's boxes is obtained as 41.41 pounds.
What is weight?
Weight gauges how much gravity is pulling on a body.
The weight formula is provided by -
w = mg
Since weight is a force, it has the same SI unit as a force, which is the Newton (N).
Use a proportion to solve this problem.
Since the weight of the art projects is directly proportional to the number of art projects, we can set up the following proportion -
weight of 11 art projects / 11 = total weight / 24
Solving for the total weight -
total weight = (weight of 11 art projects / 11) x 24
total weight = 2.18 x 24
total weight = 52.32 pounds
So the total weight of the 11 art projects is 24 pounds, and if mom gets 7 of them, 4 art projects will be left weighing a total of -
weight of 4 art projects = (weight of 11 art projects - weight of 7 art projects)
weight of 4 art projects = (24 - (7/11) x 24)
weight of 4 art projects = 10.91 pounds
So, mom would be receiving 7 art projects weighing a total of -
weight of 7 art projects = (total weight - weight of 4 art projects)
weight of 7 art projects = (52.32 - 10.91)
weight of 7 art projects = 41.41 pounds
Therefore, mom's box would weigh 41.41 pounds.
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If (2x^2-5x+7)-(4x^2+2x-11), what is the result?
Answer:
- 2x² - 7x + 18
Step-by-step explanation:
Given
(2x² - 5x + 7) - (4x² + 2x - 11) ← distribute parenthesis
= 2x² - 5x + 7 - 4x² - 2x + 11 ← collect like terms
= - 2x² - 7x + 18
In a highschool league, there were 256 touchdowns made last year. If 64 games were played, what is the mean, or the average, number of touchdowns made per game?
Answer:
4 per game
Step-by-step explanation:
−9x (5x+4 ) +10 (x+3) can someone please solve his for me thank u step by step please i really need to find out how to do it
Answer:
-45[tex]x^{2}[/tex]-26x+30
Step-by-step explanation:
So first you let's divide this equation into three parts.
Part one -9x(5x+4)
Step one: you have to distribute the -9x to the numbers in the parentheses. That would leave us with a -9x*5x = -45[tex]x^{2}[/tex] and -9x*4 = -36xStep two: Put the answers together. That would leave us with -45[tex]x^{2}[/tex]-36x.Part two 10(x+3)
Step one: you have to distribute the 10 to the numbers in the parentheses. That would leave us with a 10*x = 10x and 10*3 = 30Step two: Put the answers together. That would leave us with 10x+30Part three solve
Step one: combine and put together what you have solved for. That would leave us with a -45[tex]x^{2}[/tex]-36x+ 10x+30 Step two: combine like terms. The like terms here are -36x and 10x. When you combine them you would get -26x.Step three: Write the equation in standard form. Therefore the answer is -45[tex]x^{2}[/tex]-26x+30.Let me know if anything is confusing!
Find the area of the rectangle on this centimetre grid.
Answer:
Step-by-step explanation:
I think this question is not clear.
If you could explain/upload the centimeter grid it'd be explain.
But generally, what you should do is: calculate the number of centimeters on the longer side (length (l)) and note that, now calculate the number of centimeters on the shorter side (breadth(b)).
Use the formula, Area of a rectangle = l×b to solve your math problem
the answer is 5286 i think hope this helps
Answer:
We can’t see the question
Step-by-step explanation:
we need a question to solve for the question
