Answer:
Least Common Denominator (LCD) is "the smallest number that can be related to a set of fractions." For example, if you have the fraction 10 / 6 the LCD would be 2 because that's the smallest number the numerator and the denominator have in common and can be reduced by.
Hope this helps.
Answer:
the "Least Common Denominator" is the smallest number that can be used for all denominators of the fractions.
Step-by-step explanation:
Find the volume of the following solid. The solid in the first octant bounded by the coordinate planes and the surface zy
Answer:
The answer is "[tex]\frac{324}{5}[/tex]"
Step-by-step explanation:
If the missing value is this [tex]z= 9-y-x^2[/tex] then:
[tex]\bold{z =9-y-x^2} \\\\\to x\leq 0 \\\\\to y < 0\\\\let: \ z= 0\ then\\\\ \to 9-y-x^2=0\\\\\to y=9-x^2\\\\if\ y=0 \\\\\to 0=9-x^2\\\\\to x=3\\\\\text{Calculate the volume: }\\[/tex]
[tex]\to \int \int z dz\ \ = \int \int_{R} (9-y-x^2) dz\\\\[/tex]
[tex]=\int_0^{3} \ \int_0^{9-x^2} (9-y-x^2) dy \ dx\\\\=\int_0^{3} (9y- \frac{y^2}{2}-x^2 y)^{9-x^2} _{y=0}\ dx\\\\=\int_0^{3} (9-x^2)^2- \frac{(9-x^2)^2}{2}\ dx\\\\=\frac{1}{2} \int_0^{3} (9-x^2)^2\ dx\\\\=\frac{1}{2} \int_0^{3} 81+x^4-18x^2 \ dx\\\\=\frac{1}{2} (81x +\frac{x^5}{5}-6x^3)^3_0 \\\\= \frac{1}{2} (\frac{648}{5}) \\\\=\frac{324}{5}[/tex]
2. The Martian Zoological Society has a unique display of the native monocephalous fauna:
Tripods (three feet each) and Pentapods (five feet each). When I was there, I counted 20 heads
and 84 feet.
a.) Draw a picture to find the solution.
b.) Set up a system of equations to make sure your "picture" answer is correct. Show your
work.
Answer:
There are 12 pentapods and 8 Tripods, which in total add up to 84 feet.
Step-by-step explanation:
Given that both the Tripods and the Pentapods have, at least, 3 feet (the Pentapods have 5), and that in total between both groups they add 20 heads and 84 feet, the following logical reasoning can be made:
If there are 20 heads, there are 20 Martians in all. Each of them has, at least, 3 feet, with which in principle the 20 Martians would add up to a total of 60 feet (20 x 3). Therefore, there is a surplus of 24 feet (84 - 60).
If the Pentapods have 2 feet more than the Tripods, the number of Pentapods in the total Martians is determined by that difference. Thus, if there are 24 feet left, there are 12 Pentapods (24/2).
Therefore, in the group of Martians there are 12 pentapods (12 x 5 = 60) and 8 Tripods (8 x 3 = 24), which in total add up to 84 feet (60 + 24).
Liam needs to find the solution that satisfies both equations 1. Y=1/3x+7 2. Y=-2x
Answer:
(-3,6)
Step-by-step explanation
answer choices are
A B C D
if you could, please add an explanation.
Answer:
d
Step-by-step explanation:
fellow point stealers/hustlers rise up
Answer: I will help ppl if I know the answers but besides that I look for questions like this.
Step-by-step explanation:
In ΔHIJ, i = 53 cm, ∠I=120° and ∠J=30°. Find the length of j, to the nearest 10th of a centimeter.
Answer:
30.6
Step-by-step explanation:
The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. The length of the side j is 30.6 cm.
What is Sine rule?The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,
[tex]\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}[/tex]
where Sin A is the angle and α is the length of the side of the triangle opposite to angle A,
Sin B is the angle and β is the length of the side of the triangle opposite to angle B,
Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.
Given the length of i is 53 cm, while the measure of the ∠I is 120°. Also, the measure of ∠J is 30°. Therefore, the length of the side j is,
[tex]\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}\\\\\dfrac{Sin\ I}{i} =\dfrac{Sin\ J}{j} \\\\\dfrac{Sin\ 120^o}{53} =\dfrac{Sin\ 30^o}{j} \\\\j = \dfrac{Sin\ 30^o \times 53}{Sin\ 120^o}\\\\j = 30.5995 \approx 30.6\rm\ cm[/tex]
Hence, the length of the side j is 30.6 cm.
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Please give me 1 Integer, 1 negative fraction, 1 positive fraction, 1 negative decimal, and 1 positive decimal between -1 and 1.
Please answer ASAP. Need the answers quickly. Whoever answers correctly will get Brainliest.
Answer:
Step-by-step explanation:
Integer=8
negative fraction= -1/2
positive fraction= 1/9
negative decimal=-0.4
positive decimal= 0.8
Select all expressions that are equivalent to 6(b + 2) – b.
5b + 8
7b + 8
5b + 12
6b + 8 – b
6b + 12 – b
The given expression is equivalent to -
6b + 12 - b 5b + 12What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
6(b + 2) – b
We can write this expression as -
6(b + 2) – b = 6b + 12 - b = 5b + 12
Therefore, the given expression is equivalent to -
6b + 12 - b 5b + 12To solve more questions on algebraic expressions, visit the link below -
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Which entry describes electromagnetic energy?
Answer:
energy D
Step-by-step explanation:
-6n + 3= 45
how do you solve this
Answer:
n= -7
Step-by-step explanation:
subtract 3 from both sides,-6n=42,divide both sides by -6
Answer:
[tex]\boxed{n = - 7}[/tex]
Step-by-step explanation:
[tex] \boxed{you \: solve \: by \: making \to n :} \\ the \: subjet \: of \: the \: equation \to \: \\ it \: means \: making \: \to \: n : to \: stand \: on \: its \: own \to \\ - 6n + 3 = 45 \\ - 6n = 45 - 3 \\ - 6 n= 42 \\ \frac{ - 6}{ - 6} n = - \frac{42}{6} \\ \boxed{n = - 7}[/tex]
HELP ASAPPP
What is 60% of 40?
Answer:
The answer is 24
Step-by-step explanation:
Given the side lengths, determine whether
the triangle is acute, right, obtuse, or not a triangle
1. ( 15,16,21 )
A. not a triangle
B. Acute
C. Right
D. Obtuse
2. ( 20,23,41 )
A. Not a triangle
B. Acute
C. Right
D. Obtuse
3. ( 10,24,26 )
A. Not a triangle
B. Acute
C. Right
D. Obtuse
4. ( 6,13,20 )
A. Not a triangle
B. Acute
C. Right
D. Obtuse
Answer: For 1. ( 15,16,21 ), the answer is not a triangle, for 2. ( 20,23,41 ), this is an acute triangle, for 3. ( 10,24,26 ), this is an obtuse triangle, and for 4. (6, 13, 20), the answer is not a triangle, I hoped all of your answers is very helpful, Brainliest back please, and have a happy holidays! :D
Step-by-step explanation:
Solve the inequalities
Answer:
x=3
Step-by-step explanation:
[tex]-15x+32=13\\-15x=13-32\\-15x=-45\\x=-45/-15\\x=3[/tex]
Step-by-step explanation:
To Solve This Equation You will need to
follow this;Original Equation;
-15x+32=-13
•(Firstly you will Group Like Terms)
-15x=-13-32
•(After Grouping you will go ahead and simplify)
-15x=-13-32
(You will have to add the two negative numbers and note that negative plus negative is still negative even though there is no addition sign there but you'll add them because when there is two negatives without a multiplication or division or any other sign you have to add)
-15x=-13-32
-15x=-45
(Then you proceed to divide both sides by -15)
x=3
This is because -45 divided by -15 is positive 3
Positive 3 because the negative signs cancel each other out.
Please help me with this,............
Answer:
[tex]a_{n}[/tex] = 5n - 22
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = - 12 , then
a₁ + d = - 12 , that is
a₁ + 5 = - 12 ( subtract 5 from both sides )
a₁ = - 17
Thus
[tex]a_{n}[/tex] = - 17 + 5(n - 1)
= - 17 + 5n - 5
= 5n - 22
A cell phone plan has a monthly cost that is shown in the table below. What is the correct statement regarding the average rate of change
during the 40-minute time of talk? (1 point)
Answer:
Second from top...
The average rate of change is $0.07, meaning that for each minute of talk time, the monthly bill increases by $0.07.
Step-by-step explanation:
Pick any two points and calculate the slope which will represent the rate of change:
(Minutes, Cost)
(0, 9.95)
(10, 10.65)
Rate of change:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (10.65 - 9.95) / (10 - 0)
= 0.7 / 10
= 0.07
y is cost
m is rate of change
x is minute(s) use
b is fixed monthly cost regardless if any minutes is used
y = mx + b
y = .07x + 9.95
Evaluate each expression for the given value of the variables. 2x + y for x= 7 and y = 11
Answer:
25
Step-by-step explanation:
Substitute 7 into 2, and 11 into y.
2(7)+(11)
14+11
25
Enter the product. Use expanded form to help.
5 X 64
=
Answer:
hi
Step-by-step explanation:
Step-by-step explanation:
Multiplying In Expanded form;
We are multiplying ×64 in expanded form is;
In multiplying in expanded form you multiply them separately;
60 multiplied by 5 which is going to be; 300
4multiplied by 5 is going to be; 20
Then you add the products from multiplying the separate numbers which is;
300+20
=320
Help please ten points
Answer:
13841287201
Step-by-step explanation:
[tex](7^{6}) = 117649[/tex] [tex](117649)^{2} = 13841287201[/tex]I hope this helps!
Answer:
13481287201
Whatever is in parentheses you do first. So 7 to the power of 6 is multiplying 7 by itself 6 times using the sum of the previous answer. You would get 117649. In other words, use a calculator. Now, you have (117649)^2. So just use a calculator and get 13481287201
Please help i’ll give brainliest and please dont say this is east im in 6th and just learned this
Answer:
C
Step-by-step explanation:
1/3 is .3 repeating
and you need to move decimal over twice for a percentage so should be 15%
93^2 -83^2
SMART CALCULATED
Answer:
Step-by-step explanation:
-1760 is the answer 83 times 83 minus 93 times 93 is -1760
Find the slope of the line with the equation:
2x + y = 10
Answer:
Slope = - 2
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept
Step 2:
2x + y = 10 Equation
Step 3:
y = - 2x + 10 Subtract 2x on both sides
Step 4:
m = Slope
Answer:
Slope = - 2
Hope This Helps :)
You measure 22 watermelons' weights, and find they have a mean weight of 36 ounces. Assume the population standard deviation is 6.9 ounces. Based on this, construct a 95% confidence interval for the true population mean watermelon weight. Give your answers as decimals, to two places
Answer:
Step-by-step explanation:
Confidence interval formula is expressed as;
CI = xbar ±(z*s/√n)
xbar is the mean = 36
z is the z score at 95% CI = 1.96
s is the standard deviation = 6.9
n is the sample size = 22
Substitute
CI = 36 ±(1.96*6.9/√22)
CI = 36 ±(1.96*6.9/4.6904)
CI = 36 ±(1.96*1.4711)
CI = 36 ± 2.8833
CI = (36 - 2.8833, 36 + 2.8833)
CI = (33.1167, 38.8833)
Hence the 95% CI for the true population mean is 33.12<x<38.88
Find an expression which represents the difference when (2 + 4y) is subtracted
from ( 8x + 3y) in simplest terms.
Answer:
Simplifying 6x * 3y * 9x2y4 Reorder the terms for easier multiplication: 6 * 3 * 9x * y * x2y4 ... When you enter an expression into the calculator, the calculator will simplify the ... For addition and subtraction, use the standard + and - symbols respectively.
Step-by-step explanation:
which image shows the opposite of the opposite of `2/3` on a vertical number line
Answer:
c
Step-by-step explanation:
only one with negative 1
Find the slope of x 0 2 4 8 Y 0 12 24 48
plese help
plese
plese
A coin is tossed 7 times. What is the probability that the number of tails obtained will be between 5 and 7 inclusive?
Answer:
6/49
Step-by-step explanation:
Select the correct answer. This tables models continuous function f. x f(x) -2 0 -1 -8 0 -6 1 0 2 4 3 0 If function f is a cubic polynomial, which statement most accurately describes the function over the interval ? A. The function increases and decreases over the interval . B. The function is decreasing over the interval . C. The function is increasing over the interval . D. The function is constant over the interval .
Answer:
The function is increasing over the interval (0, 1).
The statement that accurately describes the function over the interval is C. The function is increasing over the interval .
What is a function?It should be noted that a function simply means the expression that's shows the relationship between variables.
In this case, the statement that accurately describes the function over the interval is that the function is increasing over the interval.
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joseph is shopping for school supplies he can buy a box of 24 pens for $4.32 or a box of 36 pens for $5.76. which is a better buy
1 pound of blueberries cost $2.75 yes or no
Answer:
no
Step-by-step explanation:
cause I don't really know