Answer:
3a
Step-by-step explanation:
12a and 9a^2
first find the GCL between 9 and 12 which is 3
then find the GCL between a and a^2 which is a
combine them to form 3a
The greatest common factor of 12a and [tex]9a^2[/tex] is 3a.
Given that,
There is 12 a and [tex]9a^2[/tex]calculation:The GCF should be
12a = [tex]3 \times 4a[/tex]
And, [tex]9a^2 = 3\times 3a[/tex]
based on this, the factor should be 3a
Learn more about the GCF here:https://brainly.com/question/11444998?referrer=searchResults
A bookshelf is 3 1/2 feet long if each book to be placed on the shelf is 2 1/4 inches wide, how many books can fit?
The answer is you can fit 18 books on the bookshelf. :)
You can fit 18 books perfectly.
We have a bookshelf of given dimensions.
We have to determine how many books can fit in this shelf.
How many inches are in a feet ?There are 12 inches in 1 feet.
According to the question, we have -
Length of bookshelf = [tex]$3\frac{1}{2}[/tex] feet = [tex]$\frac{7}{2}[/tex] feet = [tex]$\frac{7}{2} \times 12[/tex] inches = 42 inches.
Width of each book - [tex]$2\frac{1}{4}[/tex] inches = [tex]$\frac{9}{4}[/tex] inches.
Assume that the total number of books that can fit in a bookshelf is x. Therefore -
x = [tex]$\frac{42}{\frac{9}{4} } =42\times \frac{4}{9}[/tex]
x = 18.66 = 18 books (Approx.)
Hence, you can fit 18 books perfectly.
To solve more questions on quantity estimation, visit the link below-
https://brainly.com/question/21854275
#SPJ2
Alyson opened a savings account with $100. She saves $50 per month. Which of the
following equations can be used to find how much money she has in her account after
x months?
Answer:
not sure
Step-by-step explanation:
Answer:
100 + 50x = 600
Step-by-step explanation:
All but 4 of the counselors at a certain summer camp have a sailing certification, first aid certification, or
both. If twice as many of the counselors have neither certification as have both certifications, 7 of the
counselors have a sailing certification, and there are a total of 22 counselors on staff, then how many of the
counselors have a first aid certification?
g Programs submitted by programs in a computer science course are examined for syntax errors and logic errors. Suppose 36% of all programs have syntax errors, 47% have logic errors, and 56% have at least one of those two error types. (a) What is the probability a program contains both error types? (b) What is the probability a program contains neither error type? (c) What is the probability a program has logic errors, but not syntax errors? (d) What is the probability a program either has no syntax errors or has no logic errors?
Answer:
The answer is below
Step-by-step explanation:
Let S denote syntax errors and L denote logic errors.
Given that P(S) = 36% = 0.36, P(L) = 47% = 0.47, P(S ∪ L) = 56% = 0.56
a) The probability a program contains both error types = P(S ∩ L)
The probability that the programs contains only syntax error = P(S ∩ L') = P(S ∪ L) - P(L) = 56% - 47% = 9%
The probability that the programs contains only logic error = P(S' ∩ L) = P(S ∪ L) - P(S) = 56% - 36% = 20%
P(S ∩ L) = P(S ∪ L) - [P(S ∩ L') + P(S' ∩ L)] =56% - (9% + 20%) = 56% - 29% = 27%
b) Probability a program contains neither error type= P(S ∪ L)' = 1 - P(S ∪ L) = 1 - 0.56 = 0.44
c) The probability a program has logic errors, but not syntax errors = P(S' ∩ L) = P(S ∪ L) - P(S) = 56% - 36% = 20%
d) The probability a program either has no syntax errors or has no logic errors = P(S ∪ L)' = 1 - P(S ∪ L) = 1 - 0.56 = 0.44
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Programs with syntax errors ; n(S) = 36%
Programs with logic errors; n(L) = 47%
Programs with atleast one of the two errors = 56%
P(S) = 0.36 ; p(L) = 0.47
P(SnL) = x
P(S) only + p(L) only + p(SnL) = 0.56
P(S) only = 0.36 - x
P(L) only = 0.47 - x
P(SnL) = 0.36 - x + 0.47 - x + x = 0.56
0.83 - x = 0.56
x = 0.27
B) probability that program contains neither error :
1 - p(program contains atleast one of the two errors)
1 - 0.56 = 0.44
C) probability of logic error but no syntax error :
P(L) - p(SnL)
= 0.47 - 0.27
= 0.20
2x+5=11
How do you solve this
Answer:
x=3
Step-by-step explanation:
2x+5=11
first subtract 5 from 11
2x=6
then divide 6 by 2
x=3
Hello.
Subtract 5 from both sides of the equation.
2x + 5 (-5) = 11 (-5)
Simplify
2x = 6
Divide both sides of the equation by 2.
2x (/2) = 6 (/2)
x = 3
The unknown number in the equation is 3.
Calculate each quotient. Write your answers in lowest terms.
Simply: x + 5 + 7x+ 11
Answers:
A. 8x + 16
B. 6x + 18
C. 7x + 16
D. 24x
Answer:
8x+16
Step-by-step explanation:
First add the x and 7x which is 8x because x is equal to 1. Sec nd, you need to add 5+11 and it's 16. So your final answer is 8x+16.
Answer:
The simplified expression of the given expression is 8x + 16
Step-by-step explanation:
Solving this problem entails of simplifying the given expression. To do this we will first combine like terms. This step is taken to gather the terms in the expression that correspond with each other. Because the terms 'x' and '7x' both contain the same variable, we will combine these. Because the terms '5' and '11' are both numeral digits, we will combine these as well.
x + 5 + 7x + 11
(x + 7x) + (5 + 11)
The like terms have now been grouped together.
The final step is to add each of the common terms together in order to get the expression in its simplest form.
(x + 7x) + (5 + 11)
8x + 16
The expression has been simplified. The correct answer should be a. 8x + 16
Ms. van said that in the number 26,062 one 6 is 10 times greater than the other 6. Is she correct? WHY or WHY NOT?
Find the inverse of the following function: y=1/5x+9
In simple words, the inverse function is obtained by swapping the (x, y) of the ... For example, to check if f(x) = 3x + 5 is one to one function given, f(a) = 3a + 5 and f(b) ... –9)}? Function h is not one to one because the y- value of –9 appears more than once. ... (2x − 1) [(4 + 5x)/ (2x − 1) + 4]/ [2(4 + 5x)/ (2x − 1) − 5] (2x − 1).
WWrite improper fraction as a mixed number 19/6
Answer:
3 1/6
Step-by-step explanation:
Answer:
3 1/6
Step-by-step explanation:
thirty-two thousandths as a fraction
Answer:
32/1000
Step-by-step explanation:
Answer
[tex]\frac{32}{1000}[/tex]
Step-by-step explanation:
9. Write an equation relating the measures of
21, 22, and 23. Write another equation
relating the measures of 21, 22, and 24.
4
3
1
2
I NEED HELP ASAP PLS!!!!
Answer:
∠1 +∠2 +∠3 = 180°∠1 +∠2 = ∠4Step-by-step explanation:
The sum of the measures of the angles in a triangle is 180°. The equation relating angles 1, 2, 3 will reflect this fact.
m∠1 +m∠2 +m∠3 = 180°
__
Of course, angle 3 is supplementary to angle 4, so we have ...
m∠3 +m∠4 = 180°
Substituting this expression for 180° in the first equation, we have ...
m∠1 +m∠2 +m∠3 = m∠3 +m∠4
Subtracting ∠3 from both sides, we are left with an equation relating angles 1, 2 and 4.
m∠1 +m∠2 = m∠4
__
The "rule" expressing this last relationship is, "an exterior angle is equal to the sum of the remote interior angles." Knowing this relation can make a number of problems easier to solve.
Using the following functions, what is (j + g)(x)
Answer: switch sides and theres your answer
Step-by-step explanation:
good luck
6. Find the distance between each pair of points (-8,-2) and (6,-1).Round to the nearest
hundredth.
Answer:
The answer is 14.04 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-8,-2) and (6,-1).
The distance between them is
[tex]d = \sqrt{ ({ - 8 - 6})^{2} + ({ - 2 + 1})^{2} } \\ = \sqrt{( { - 14})^{2} + ( { - 1})^{2} } \\ = \sqrt{196 + 1} \\ = \sqrt{197} \: \: \: \: \: \: \: \: \\ = 14.0356...[/tex]
We have the final answer as
14.04 units to the nearest hundredthHope this helps you
Answer:
√197
Step-by-step explanation:
\frac{w^7}{w^{-2}} = \frac{w^a}{w^2}
Answer: a = 16
Step-by-step explanation:
HELP ILL MARK YOUR brainliest! And give extes points
1. If there are 8 pints in a gallon, what is 56 pints converted to gallons?
a. 14 gallons
b. 7 gallons
c. 3.5 gallons
d. 5 gallons
Answer:
B
Step-by-step explanation:
Answer:
b 7 gallons
8 pints times 7 gallons is 56 pints
Solve the equation. Check your answer. If 3x+10=16, find the value of 4x+1
Answer:
9
Step-by-step explanation:
1. To find how 3x+10=16, we must subtract 10 from both sides.
-10 -10
2. now we have 3x=6, we divide 3 from both sides
3 3
3. we end with x=2.
Now we know x=2, we plug in 2 into our second equation.
1. 4(2)+1 we multiply 4 times 2.
2. we are then left with 8+1, which equals 9.
(1 point) Since 1966, 45% of the No. 1 draftpicks in the NBA have been centers. identify the population A. all No.1 draftpick centers in the NBA since 1966 B. all NBA players since 1966 C. all No.1 draftpicks in the NBA since 1966 D. None of the above identify the specified attribute A. being a No.1 draftpicks in the NBA B. being an NBA player C. being a center D. None of the above is the proportion 0.45 (45%) a population proportion or a sample proportion? A. population proportion B. sample proportion C. None of the above
Answer:
1 B
2 A
3 B
Step-by-step explanation:
1
The population is the total sample from which part of the event is considered. It's like in a set, the population would encompass everything as a whole. From the statement given, we're expected to find the population. The population is B.
All NBA players since 1966. This is because it is from this pool that the draft picks were selected, and narrowed down to 45% which were centre backs.
2
The specified attribute is A.
Being a No. 1 draft pick, because that's the fulcrum of the statement in itself
3
B sample proportion. The population like I stated above, is all NBA players since 1966, thus, a population proportion would have had the statement like this.
45% of all NBA players since 1966...
So, therefore, it's a sample proportion since it is referring to the draft pick, and not the NBA players
Answer:
Answer:
1 B
2 A
3 B
Step-by-step explanation:
WLD Incorporated, a national data-collection agency, estimates that 60% of all customers at home warehouse stores (in the United States) own their own home. WLD also estimates that 54% of all home warehouse customers have lived at their current address for less than five years, and that 71% of all home warehouse customers own their own home or have lived at their current address for less than five years (or both). Using these estimates, what is the probability that a randomly selected home warehouse customer both owns her own home and has lived at her current address for less than five years
Answer:
[tex]P(W\ n\ F) = 43\%[/tex]
Step-by-step explanation:
Given
Represent customers that own their homes with W
Represent customers that have lived for less than 5 years with F
Such that:
[tex]P(W) = 60\%[/tex]
[tex]P(F) = 54\%[/tex]
[tex]P(W\ or\ F) = 71\%[/tex]
Required
Determine [tex]P(W\ n\ F)[/tex]
In Probability:
[tex]P(W\ or\ F) = P(W) + P(F) - P(W\ n\ F)[/tex]
Substitute values for each
[tex]71\% = 60\% + 54\% - P(W\ n\ F)[/tex]
[tex]71\% = 114\% - P(W\ n\ F)[/tex]
Solve for P(W n F)
[tex]P(W\ n\ F) = 114\% - 71\%[/tex]
[tex]P(W\ n\ F) = 43\%[/tex]
To rent a bouncy house, you pay a one-time set-up fee
and an hourly fee for the length of your rental. Renting
the bouncy house for 5 hours costs a total of $235.
Renting the bouncy house for 12 hours costs a total of
$501.
Find the one-time set up fee cost. NOTE: Your answer
should be an integer.
Answer:
One-time set up fee cost = $45
Step-by-step explanation:
Given:
Cost for 5 hours = $235
Cost for 12 hours = $501
Find:
One-time set up fee cost
Computation:
One-time set up fee cost = x
Hourly cost = y
So,
For 5 hour
x + 5y = 235 ......eq1
For 12 hour
x + 12y = 501 ......eq2
From eq 1 and eq 2
x = 45
So,
One-time set up fee cost = $45
What is the comparison test exactly? And how would you use the comparison test to do this problem?
Answer:
C
Step-by-step explanation:
If you have two functions such that 0 < g(x) < f(x) for all values of x on a domain, then g(x) converges if f(x) converges, and f(x) diverges if g(x) diverges.
Basically, if a known function converges, then a smaller function also converges. And if a known function diverges, then a larger function also diverges.
1/√x is a p-series where p = ½, so this integral diverges.
1/(√x − 1) is larger than 1/√x on the domain 2 ≤ x ≤ ∞. So if 1/√x diverges, then 1/(√x − 1) also diverges.
True or false a set of coordinates that indicates the location of a point on a coordinate plane is a coordinate
What is the answer to b?
===================================================
Explanation:
Pick any column and divide the weight over the length
column 1: 9/15 = 0.6
column 2: 12/20 = 0.6
column 3: 18/30 = 0.6
column 4: 30/50 = 0.6
The weight per cm is 0.6 grams per cm
---------
Another way you could look at is like so
9 g = 15 cm
9/15 g = 15/15 cm
0.6 g = 1 cm
We divided both sides by 15 to turn "15 cm" into "1 cm". Think of "per cm" as "per 1 cm". This works for any other column as well.
Answer:
[See Below]
Step-by-step explanation:
___________________________________________________
✦ To figure out the rule of this table you must Add, Subtract, Multiply, and Divide each line to find similarities.
___________________________________________________
✧ Line 1:
[tex]15+9=24[/tex][tex]15-9=6[/tex][tex]15*9=135[/tex][tex]15[/tex] ÷ [tex]9=1.66r[/tex]___________________________________________________
✧ Line 2:
[tex]20+12=32[/tex][tex]20-12=8[/tex][tex]20*12=240[/tex][tex]20[/tex] ÷ [tex]12=1.66r[/tex]___________________________________________________
✧ Line 3:
[tex]30+18=48[/tex][tex]30-18=12[/tex][tex]30*18=540[/tex][tex]30[/tex] ÷ [tex]18=1.66r[/tex]___________________________________________________
✧ Line 4:
[tex]50+30=80[/tex][tex]50-30=20[/tex][tex]50*30=1500[/tex][tex]50[/tex] ÷ [tex]30=1.66r[/tex]___________________________________________________
So with this, we can conclude that each line has a similarity when we did:
[tex]cm[/tex] ÷ [tex]g[/tex][tex]=1.66r[/tex] (Repeating)___________________________________________________
So the weight per [tex]cm[/tex] is [tex]1.66[/tex] or [tex]g*1.66r[/tex].
~Hope this helps Mate. If you need anything feel free to message me.
What is the equivalent ratio to the fraction 3/4
Answer:
3:4
Step-by-step explanation:
find the x & y intercept for 3x-y=-5?
Answer:
Turn the answer to
-y = -3x - 5
-3 is the slope, and -5 is the y - intercept. Now graph it and look for the x intercept
Step-by-step explanation:
What is the difference between a two step equation and a multi-step equation?
Answer:
When solving a multi step equation, you use PEMDAS (parentheses, exponents, multiplication, division, add, subtract), and you also use PEMDAS when solving a multi step inequality. However, inequalities are tricky in the fact that if you multiply or divide by a negative number, you must flip the sign. And while normally there are 1 or 2 solutions to a multi step equation, in the form of x= #, you'll have the same thing, but with an inequality sign (or signs).
A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
hope it helped
what is 50023 times 27 help!!
1350621
HOPE THIS IS THE ANWER
HELP ME WITH PRECALC QUESTION
Answer:
D
Step-by-step explanation:
1. calculate the expression
2.multiple reorder
3.remove parenthesis
Find sinθ and tanθ if cosθ=13/85, assuming that 0≤θ<π/2
Answer:
First notice that θ is in quadrant I, where the sine and tangent will also be positive.
Then draw the angle in quadrant I. Drop a perpendicular to the x axis.
Since cosθ= 7/25, label the horizontal leg 7, and the hypotenuse 25; the vertical leg will be 24 by Pythagorean theorem.
Then sinθ=vertical/hypotenuse= 24/25 and tanθ= vertical/horizontal= 24/7
Step-by-step explanation: I hope this helps!
Answer:
First notice that θ is in quadrant I, where the sine and tangent will also be positive.
Then draw the angle in quadrant I. Drop a perpendicular to the x axis.
Since cosθ= 7/25, label the horizontal leg 7, and the hypotenuse 25; the vertical leg will be 24 by Pythagorean theorem.
Then sinθ=vertical/hypotenuse= 24/25 and tanθ= vertical/horizontal= 24/7
Step-by-step explanation:
help please asap please
Answer:
b
Step-by-step explanation:
