Answer:
13 1/3
____
Work[tex]1\:2/3 = 5/3\\1/8 = 1/8\\\\5/3 \div 1/8\\=\frac{5\cdot8}{3\cdot1}\\= \frac{40}{3}\\= 13\:1/3[/tex]
When working with mixed numbers that are being divided, you know where to start. Start by converting mixed numbers to fractions, then multiply the fractions together to divide them. Simplify your improper fraction by counting how many times it surpasses the denominator.
Each figure shows a triangle with one of its angle bisectors.
Can someone help me
Find the perimeter of a rectangle with a length of 9 yards and a width of 6 yards.
Answer:
30 yards
Step-by-step explanation:
9+9+6+6=30yards
Three numbers are in the ratio 2:5:7 and their lcm is 490 find the square root of the largest number
Answer:
49
Step-by-step explanation:
The ratio of three numbers = 2:5:7
Then the numbers are 2x,5x and 7x
Given that the LCM of these numbers = 490
LCM of 2x,5x,7x is 2×5×7×x = 70x
Then, we have 70x = 490
x = 7
Hence, the numbers are 14, 35 and 49
Largest number = 49
∴The square root of the largest number = 7
What is the answer to this problem ?
Answer:
11
Step-by-step explanation:
Plug 4 into the x, 6(4) = 24
24 - 13 = 11
Please help solve this equation. -3(5w-3y-2)
Answer:
-15w+9y+6
Step-by-step explanation:
I think that you are asking to simplify the expression. An equation has an equal sign and I do not see one.
We need to distribute the -3 to everything inside of the parentheses.
A negative times a negative is a positive.
A negative times a positive is a negative.
-3(5w-3y-2)
-3(5w) -3(-3y) -3(-2)
-15w + 9y + 6
Hi!
To simplify this, use the Distributive Property:
[tex]\tt{a(b+c)=ab+ac}[/tex] | Basically, we distribute a so that it gets multiplied by b and c.Now, let's simplify the given expression:
[tex]\dashrightarrow\sf{-3(5w-2y-2)}[/tex]
Like the property said, We should distribute -3 so that it's multiplied by each term:
[tex]\bullet\dashrightarrow\sf{-15w+9y+6}[/tex]
Therefore,
[tex]\bullet\dashrightarrow\stackrel{\heartsuit}{\boxed{\boxed{\boldsymbol{-15w+9y+6}}}}}\dashleftarrow\bullet[/tex]
Good luck.- stargazing :')
Kyrie and Jayla were trying to describe parts
of the expression (5p+ 3)(p+1).
Jayla said, "The entire expression is the
sum of 5 terms."
Kyrie said, "The entire expression is the
product of 4 factors."
Step-by-step explanation:
did you leave something out ?
(5p + 3)(p + 1) = 5p×p + 5p×1 + 3×p + 3×1 =
= 5p² + 5p + 3p + 3 = 5p² + 8p + 3
at no point do we have 5 terms to sum up. but 4 and then finally 3, yes.
but we always have also additions, not only multiplications (products).
so, none of the 2 options is correct.
we could, of course. start with the initial expression, that shows the product of 2 factors and multiply by 1×1
(5p + 3)(p + 1)×1×1
then we have the expression as product of 4 factors.
in the same way we could bump up the sum scenario by adding one or 2 0s : tadah ! sum of 5 terms.
I strongly suspect there is something missing in the problem description.
Answer:
Neither is correct.
Step-by-step explanation:
Is the relationship between the side length of a square and its area proportional?
The relationship between the length of a side and the area is non proportional.
The answer is non proportional because the side length is x,
so is the other side lengths.
The side lengths are all equal and to find area you do x squared or x times x.
So they are not proportional because there will be different numbers for each.
For example. X= 2, area ( x squared ) is 4.
Hence, The relationship between the length of a side and the area is non proportional.
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In a square, we need to find the relationship between the length of a side and the area.
to know more about proportional;
visit ; brainly.com/question/19905617
#SPJ9
Find the value of each of the following by using prime factorisation.
(b) 13824
Answer:
Here in the picture is the prime factorisation of 13824
Please mark as brainliest
Hot tea is around 181 degrees Fahrenheit, and the room temperature is 72 degrees Fahrenheit. The rate of the hot tea cooling on a desk in the room is about 6.5% every minute. You need to determine how hot the tea will be after t minutes? Which function models this situation?
The function that models the given situation is; f(x) = 109(0.935)^(t) + 72
How to interpret function models?
We are given that;
Temperature of hot tea = 181°F
Room temperature = 72°F
Rate of the hot tea cooling on a desk in the room = 6.5% every minute
We know that an exponential function is of the form of;
y = A(r)^(x)
where;
A is the initial value.
r is the rate of increase/decrease in decimals.
Thus, our initial value is;
A = 181 - 72 = 109
The rate of increase/decrease in decimals = 1 - (6.5%) = 0.935
Since the room temperature is 72 degrees Fahrenheit, then the function is;
f(x) = 109(0.935)^(t) + 72
Read more about Function Models at; https://brainly.com/question/2456547
#SPJ1
Jason is collecting coins from different countries around the world. He currently has coins from 99 countries and plans to add 4 new countries to his coin collection each week. At this rate how many weeks (w) will it take Jason to have coins from all 195 countries?
Equation:
Solution:
Final Answer:
???
The number of weeks that it will take Jason to have coins from all 195 countries is 24 weeks.
How to calculate the equation?It should be noted that an equation is simply used in Mathematics to show the relationship the exist between different variables.
Let the number of weeks be represented by w.
Therefore, based on the information, the appropriate equation will be:
99 + (4 × w) = 195
99 + 4w = 195
4w = 195 - 99
4w = 96
Divide
w = 96/4
w = 24
Therefore, based on the calculation illustrated above, the number of weeks that it will take Jason to have coins from all 195 countries is 24 weeks.
Learn more about equations on:
brainly.com/question/13763238
#SPJ1
With steps please, if it’s correct I’ll give full rate please
A gull can fly at a speed of 22 miles per hour i.e. equal to 116,160feett/hour and An AMTRAK train travels at 125 miles per hour i.e. equal to 2.1 miles/minute
Given that 1)A gull can fly at a speed of 22 miles per hour and asked to convert its units to foot/hour
2)An AMTRAK train travels at 125 miles per hour and is asked to convert its units to miles/minute
1 mile=5280 feet
22 miles/hour=22 × 5280 foot/hour
22 miles/hour=116,160 foot/hour
1 hour=60 minute
125 miles/hour= 125/60 miles/minutes
125 miles/hour= 2.083 miles/minutes≈ 2.1miles/minutes
Therefore, A gull can fly at a speed of 22 miles per hour i.e. equal to 116,160 feet/hour and An AMTRAK train travels at 125 miles per hour i.e. equal to 2.1 miles/minute
Learn more about speed here:
https://brainly.com/question/28224010
#SPJ9
Please help need to finish in an hour!
your question is wrong to make sure
in a sample of 200 households, the mean number of hours spent on social networking sites during the month of january was 55 hours. in a much larger study, the standard deviation was determined to be 7 hours. assume the population standard deviation is the same. what is the 99% confidence interval for the mean hours devoted to social networking in january? (2 points) the 99% confidence interval ranges from 53.73 to 56.27 hours. the 99% confidence interval ranges from 7 to 55 hours. the 99% confidence interval ranges from 54.51 to 55.49. the 99% confidence interval ranges from 55 to 60 hours.
The correct option is A) The 99% confidence interval ranges from 53.73 to 56.27 hours.
The 99% confidence interval for the mean hours devoted to social networking in January ranges from 53.73 to 56.27 hours.
What is confidence interval?In statistics, a confidence interval denotes the likelihood that a population parameter would then fall between two specified values.
A confidence interval is a set of values bounded both above and below the mean of a statistic that are likely to contain an unknown parameter. The proportion of probability, or predictability, that the confidence interval will contain the real population parameter when a random sample is drawn many times is referred to as the confidence level.sample size 'n' =200
Mean 'x' = 55 hours
Standard deviation (Population) = 7 hours
For 99% confidence level
Z critical value = 2.58
Margin of error = ±2.58(std error)
Now, compute the standard error
Standard error = 7/√n
=7/√200
= 0.495
Thus, margin of error = ±0.495(258) = 1.28
Now, calculate the Confidence interval;
Confidence interval = (55 - 1.28, 55 + 1.28)
= (53.72, 56.28)
Confidence interval = (53.73, 56.27) [approx.]
Therefore, the confidence level lies between 53.73, 56.27) [approx.]
To know more about confidence interval, here
https://brainly.com/question/15712887
#SPJ4
The correct question is-
In a sample of 200 households, the mean number of hours spent on social networking sites during the month of January was 55 hours. In a much larger study, the standard deviation was determined to be 7 hours. Assume the population standard deviation is the same. What is the 99% confidence interval for the mean hours devoted to social networking in January?
A) The 99% confidence interval ranges from 53.73 to 56.27 hours.
B) The 99% confidence interval ranges from 7 to 55 hours.
C) The 99% confidence interval ranges from 54.51 to 55.49 hours.
D) The 99% confidence interval ranges from 55 to 60 hours.
Consider the points p such that the distance from p to a ( 1,5,3) is twice the distance from p to b (6, 2, 2) . show that the set of all such points is a sphere, and find its center and radius
The set of all such points is a sphere center c = ( 23/3 , 19/3 , 3 ) r = 2√83/9
what is the sphere?
sphere, The collection of points in three dimensions that are all the same distance from the center (the radius) or the outcome of rotating a circle around one of its diameters. A sphere's parts and characteristics are comparable to those of a circle.The standard form of the equation of a sphere with center (a ,b ,c) and radius r is
( x -a)² + ( y-b)² + ( z - c)² = r²
We let P = ( x, y,z ) be an arbitrary point which satisfies the given conditions. Then
[tex]\sqrt{(x - 1)^{2} + ( y - 5)^{2} + (z - 3)^{2} } = 2 \sqrt({x - 6)^{2} + ( y - 2 )^{2} +( z - 3)^{2} }[/tex]
Squaring both sides of this equation and simplifying yields
( x - 1)² + ( y - 5)² + ( z -3)² = 4 [ (x - 6)² + ( y- 6 )² + ( z - 3)²
( 3x² - 46x + 143 ) + ( 3y² - 38y + 119 ) + ( 3z² - 18z + 27 ) = 0
Next, we complete the square for each variable to obtain
( x - 23/3)² + ( y - 19/3)² + ( z - 3 )² = 332/9
Thus the set of all such points P forms a sphere, with
center c = ( 23/3 , 19/3 , 3 ) r = 2√83/9
Learn more about sphere
brainly.com/question/11374994
#SPJ4
If p(a | b) = 0.4, p(b) = 0.8, and p(a) = 0.5, are the events a and b independent?
The events A and B are not independent.
Given that,
P(A|B) = 0.4
P(A) = 0.5
P(B) = 0.8
Two events A and B are said to be independent, if P(A∩B) = P(A) P(B)
We have, P(A|B) = P(A∩B)/P(B)
Therefore, P(A∩B) = P(A|B) P(B) = 0.4 x 0.8 = 0.32
Now P(A) P(B) = 0.5 x 0.8 = 0.4
So P(A∩B) ≠ P(A)P(B)
Therefore, the events A and B are not independent.
Learn more about independent events at https://brainly.com/question/22881926
#SPJ4
solve the following quadratic equations by using square roots
(x-2)² = 0
(x-2)² =36
9a²-100 =0
Answer:
Step-by-step explanation:
no solution
Express 21 as a product of prime
factors
Answer:
21=1×21 or 3×7
Step-by-step explanation:
21 is a composite number.factors of 21:1,3,7,21.
Prime factorization:21=3×7.
since 3 and 7 are the only prime numbers ...
Thanks!!
A scale that allows one to determine only if there is more, less, or an equal amount of the attribute in comparison to another observation is called a(n) _____ scale.
Ordinal is the answer.
In the given statement is:
A scale that allows one to determine only if there is more, less, or an equal amount of the attribute in comparison to another observation is called a(n) ____ scale.
Ordinal Scale is the 2nd level of measurement that reports the ranking and ordering of the data without actually establishing the degree of variation between them. Ordinal level of measurement is the second of the four measurement scales. "Ordinal" indicates "Order".
Hence, The answer is Ordinal
Learn more about Ordinal Scale at:
https://brainly.com/question/15187147
#SPJ4
Jim picks a number. he doubles that number, then adds 5, and gets 41 as his result. what was the original number jim picked?
Answer: 18
Step-by-step Explanation:
Subtract: 5 from 41 | 41-5= 36
Divide: by 2 | 36/2= 18
Answer:18
Step-by-step explanation:
SUBTRACT41 FROM 5
THAT GIVES YOU 38
THEN DIVIDE 38/2 AND IT WILL GIVES 18
find the perimeter of ABC with vertices A(-4,4), B(2,-2), and C(-4,-2). Round your answer to the nearest hundredth.
The perimeter of ABC with vertices A(-4,4), B(2,-2), and C(-4,-2) is 20.848 units.
We are given the vertices:
A(-4,4), B(2,-2), and C(-4,-2).
We need to find the perimeter of ABC.
AB = √ ( 2 + 4)² + (-2 - 4)²
AB = √ 6² + 6²
AB = √72
AB = 6 √2 units
BC = √ (-4 - 2)² + ( -2 + 2)²
BC = √ 6²
BC = 6 units
AC = √ ( -4 + 4)² + (-2 - 4)²
AC = √ 6²
AC = 6 units.
Perimeter = AB + BC + AC
Perimeter = 6 √2 + 6 + 6 units
Perimeter = 12 + 6 √2 units.
Perimeter = 12 + 6(1.414) units
Perimeter = 12 + 8.848 units
Perimeter = 20.848 units
Therefore, the perimeter of ABC with vertices A(-4,4), B(2,-2), and C(-4,-2) is 20.848 units.
Learn more about perimeter here:
https://brainly.com/question/24571594
#SPJ9
how many days on earth, in decimal form, are equivalent to 9 1/2 years on venus
One year on Venus is 225 days on Earth.
Multiply that by 9 1/2.
The answer you get is 2137.5
9 1/2 years on Venus years is equivalent to 2137.5 days on Earth.
There are 9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Equivalent to 9 1/2 years on venus.
Let the number of days on earth is x:
One year on Venus is 225 days on Earth.
= (225)(9 1/2)
= (225x19)/2
= 2137.5 days
Thus, there are 9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
Use the equation y-6= to fill in the missing values in the table below
Using the given equation, the missing values in the table are:
x y
32 14
12 9
0 6
-8 4
-36 -3
How to Apply an Equation?Given the equation, y - 6 = x/4, we can rewrite the equation as:
y = x/4 + 6
For x = 12, we have:
y = 12/4 + 6 = 3 + 6
y = 9
For x = 0, we have:
y = 0/4 + 6 = 0 + 6
y = 6
For y = 4, we have:
4 = x/4 + 6
4 - 6 = x/4
-2 = x/4
-8 = x
x = -8
For y = -3, we have:
-3 = x/4 + 6
-3 - 6 = x/4
-9 = x/4
-36 = x
x = -36
Thus, using the given equation, the missing values in the table are:
x y
32 14
12 9
0 6
-8 4
-36 -3
Learn more about equations on:
https://brainly.com/question/25678139
#SPJ1
(1-tan4 A) cos4 A = 1-2 sin² A
Step-by-step explanation:
You want to demonstrate the identity ...
(1-tan⁴(A))·cos⁴(A) = 1 -2·sin²(A)
Working with the left side, we have ...
[tex](1-\tan^4(A))\cos^4(A)=1-2\sin^2(A)\\\\(1-\dfrac{\sin^4(A)}{\cos^4(A)})\cos^4(A)=1-2\sin^2(A)\qquad\text{use tangent identity}\\\\\cos^4(A)-\sin^4(A)=1-2\sin^2(A)\qquad\text{multiply it out}\\\\(\cos^2(A) +\sin^2(A))(\cos^2(A)-\sin^2(A))=1-2\sin^2(A)\qquad\text{factor}\\\\1((1-\sin^2(A))-\sin^2(A)) = 1-2\sin^2(A)\qquad\text{use $\cos^2$ identity}\\\\1-2\sin^2(A)=1-2\sin^2(A)\qquad\text{Q.E.D.}[/tex]
__
Additional comment
The referenced identities are ...
tan = sin/cos
cos² = 1 -sin²
and the factorization of the difference of squares:
a² -b² = (a +b)(a -b).
solve the literal equation for y
4x+1=9+4y show steps please i am confused
The solution to the literal equation is y = x - 2.
What is the solution to inequality?To solve inequality in y, we need a number such that the assertion holds if we replace y with that number. Isolating the variable on one side of the inequality and leaving the other terms constant is the first step in resolving the inequality.
From the given information:
4x + 1 = 9 + 4y
To solve for y, we have to switch the sides:
9 + 4y = 4x + 1
Subtract 9 from both sides
9 - 9 + 4y = 4x + 1 - 9
4y = 4x - 8
Divide both sides by 4
[tex]\dfrac{4y}{4}= \dfrac{4x}{4}-\dfrac{8}{4}[/tex]
y = x - 2
Learn more about inequality here:
https://brainly.com/question/24372553
#SPJ1
Which choice is a term in this expression? 3x − 7(x + 4)
The term in the given expression is -3x − 7(x + 4) (A) -3x.
What exactly do we mean by expressions?A finite combination of symbols that is well-formed according to context-dependent rules is referred to as an expression or mathematical expression.A mathematical expression is a phrase that has at least two numbers or variables, at least one mathematical operation, and at least one mathematical operation.Addition, subtraction, multiplication, and division are all considered math operations.The structure of an expression is as follows: An expression is (Number/variable, Math Operator, Number/variable).Term:
Terms are expression parts that are separated by + or - signs.Because it is separated from the rest of the expression by a - sign, -3x is a term.Therefore, the term in the given expression is (A) -3x.
Know more about expressions here:
brainly.com/question/723406
#SPJ9
The correct question is given below:
Which choice is a term in this expression? -3x − 7(x + 4)
Help? fraction multiplication as scaling AYUDA HELP
Answer:
1) 1/2 × 3/5 = 45/150
2) 5/5 × 3/5 = 90/150
3) 2 2/3 × 3/5 = 1 90/150
Explanation below
Explanation belowHope this helps :)
Step-by-step explanation:
1/2 × 3/5 = 3/10
2 2/3 × 3/5 = 8/3 × 3/5 = 24/15
5/5 × 3/5 = 15/25
We need to find the Least Common Multiple (LCM) to order them from least to greatest.
The LCM is 150.
3/10 = 45/150
24/15 = 1 9/15 = 1 90/150
15/25 = 90/150
So the order from least to greatest is ...
1) 1/2 × 3/5 = 45/150
2) 5/5 × 3/5 = 90/150
3) 2 2/3 × 3/5 = 1 90/150
How to I do part (ii)?
Answer:
Step-by-step explanation:
7(i)
[tex]\displaystyle\\\frac{d}{dx}\{x*(3x-5)^\frac{5}{3} \}=\frac{dx}{dx} *(3x-5)^\frac{5}{3}+x*\frac{d}{dx} \{(3x-5)^\frac{5}{3} \}\\\\ \frac{d}{dx}\{x*(3x-5)^\frac{5}{3} \}=1*(3x-5)^\frac{5}{3} +x*\frac{5}{3}*(3x-5)^{\frac{5}{3} -1}*\frac{d}{dx} \{(3x-5)\}\\\\ \frac{d}{dx}\{x*(3x-5)^\frac{5}{3} \}=(3x-5)^\frac{5}{3} +\frac{x*5*(3x-5)^{\frac{2}{3}}*3 }{3} \\\\\frac{d}{dx}\{x*(3x-5)^\frac{5}{3} \}=(3x-5)^\frac{5}{3} +5x*(3x-5)^\frac{2}{3} \\\\[/tex]
[tex]\displaystyle\\\frac{d}{dx}\{x*(3x-5)^\frac{2}{3} \}=(3x-5)^\frac{2}{3}*((3x-5)^{\frac{5}{3}-\frac{2}{3}} + 5x)\\\\\frac{d}{dx}\{x*(3x-5)^\frac{2}{3} \}=(3x-5)^\frac{2}{3} *(3x-5)^\frac{3}{3}+5x) \\\\\frac{d}{dx}\{x*(3x-5)^\frac{2}{3} \}=(3x-5)^\frac{2}{3} *(3x-5+5x)\\\ \frac{d}{dx}\{x*(3x-5)^\frac{2}{3} \}=(8x-5)*(3x-5)^\frac{2}{3}[/tex]
7(ii)
[tex]\int\limits {(x*(3x-5)^\frac{2}{3}) } \, dx \\Let\ \sqrt[3]{3x-5} =u\\Hence,\\(\sqrt[3]{3x-5})^3=u^3\\ 3x-5=u^3\\3x-5+5=u^3+5\\3x=u^3+5\\[/tex]
Divide both parts of the equation by 3:
[tex]\displaystyle\\x=\frac{u^3+5}{3}\\\\dx=\frac{d}{du} \{\frac{u^3+5}{3}\} \\dx=\frac{3u^2}{3} du=\\\\dx=u^2du\\Hence,\\\\\int\limits {\frac{u^3+5}{3}* u^2*u^2} \, du =\\\\\int\limits {\frac{u^3+5}{3} *u^4} \, du =\\\\\int\limits {\frac{u^7+5u^4}{3} } \, du =\\\\\frac{1}{3} \int\limits {u^7} \, du +\frac{1}{3}\int\limits {5u^4} \, dxu =\\\\[/tex]
What does it mean for a sample to have a standar deviation of zero? describe the scores in such a sample
Given that sample standard deviation is zero. This indicates that the variance of sample is also zero as square of sample standard deviation is sample Variance. Variance is average of the squared deviations from mean. As shown in below formula
Since Variance = 0 , we substitute in formula and we get the sum of squares of deviations of all data points from mean should be zero. This is only possible if and only if all the data points in the data distribution are same as mean of the data distribution. In the case the variance and standard deviation will be zero.
Variance = Summation n to i = 1 [tex]\frac{(X_{1-X} )^2}{n-1}[/tex]
0 = Summation n to i = 1[tex]\frac{(X_{1-X} )^2}{n-1}[/tex]
Summation n to i [tex]{(X_{1-X} )^2[/tex] = 0
Learn more about Variance and Standard Deviation at:
https://brainly.com/question/20251852
#SPJ4
Combine the like terms to create an equivalent expression
-4r-2r+5
Answer:
-6r+5
Step-by-step explanation:
Combining the like terms
⇒-4r-2r+5
⇒-6r+5
*PLS HELP*
Drag and drop each verbal phrase next to the algebraic expression that models it.
the base salary of an employee and a 6%
salary increase
x+0.06x=1.06x
x-0.60x=0.40x
x+0.60x= 1.60x
the number of students attending school
last year and a 60% increase from last year
ix-0.06x=0.94x
the cost of groceries and a 6% discount
with coupons
the price of a winter coat and a 60%
discount
Answer:
1st Question: The answer is the bottom left
2nd Question: The answer is the bottom right
3rd Question: The answer is the top left
4th Question: The answer is the top right.
Step-by-step explanation: