Answer:
Step-by-step explanation:
Put these numbers into their prime factors.
18: 2 * 3 * 3
27: 3 * 3 * 3
12: 2 * 2 * 3
The LCM must have
two 2s
Three 3s
That's it
2*2 * 3 * 3 * 3
LCM = 108
648 might be a multiple of the three, but it's not the smallest one.
108 = 27 * 4
108 = 18 * 6
108 = 12 * 9
Find the inequality represented by the graph.
Can someone please help me!!!!!!
Answer:
[tex]y<-\frac{4}{3}x+5[/tex]
Step-by-step explanation:
We first need to determine the equation of the line.
Thus, we will need to find our slope first. To do so, we need to pick two points from the line. We can use (0, 5) and (3, 1).
Now, we can use the slope formula. Therefore:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (0, 5) be (x₁, y₁) and let (3, 1) be (x₂, y₂). Substitute appropriately:
[tex]m=\frac{1-5}{3-0}=\frac{-4}{3}[/tex]
Therefore, our slope is -4/3.
Now, we can use the slope-intercept form:
[tex]y=mx+b[/tex]
Where m is our slope and b is the y-intercept.
We already determined that the slope is -4/3.
And (0, 5) tells us that the y-intercept is 5. Therefore, substitute:
[tex]y=-\frac{4}{3}x+5[/tex]
Finally, we need to determine our inequality sign.
Notice that our line is dotted. Hence, we do not need “or equal to.”
Also, the blue shaded region is below our line. Therefore, y must be less than our equation.
Hence, our sign is less than.
Therefore, our equation is:
[tex]y<-\frac{4}{3}x+5[/tex]
Parcel B is 3 times as heavy as Parcel B. The total mass of Parcel B and Parcel A is 5 kg. How heavy us Parcel A?
Answer:
5/4 kg is Parcel A
im guessing what you meant was that parcel B is 3 times as heavy as A.
Step-by-step explanation:
Lets say parcel A is x
3x would be parcel b
x + 3x = 5 kg
4x = 5 kg
x = 5/4 kg
Please only answer this if you know the answer otherwise I will REPORT you thanks. This one is hard so I offers a lot of point. ONLY answer when you know the answer.
The answer is (C) 12+10[tex]\sqrt{3\\[/tex] !
A principal of $835 is invested in an account at 2% per quarter simple
interest. Which of the following sequences describes the dollar amount of
principal in the account at quarterly intervals?
A. 66.80, 133.60, 200.40, 267.20, 334.00, ...
B. 835.00, 851.70, 868.40,885.10, 901.80, ...
C. 835.00, 901.80, 968.60, 1,035.40, 1,102.20, ...
D. 16.70, 33.40, 50.10, 66.80, 83.50,...
E. 835.00, 851.70, 868.73, 886.11, 903.83, ...
Answer E
Step-by-step explanation: The first number is 835 as this is how much you have in the bank to begin with. Work out 2% of 835.
If Triangle ABC is congruent to Triangle SRT, find the possible value(s) for x
Answer:
x = 2 or x = -3
Step-by-step explanation:
Given that ∆ABC ≅ ∆SRT, it follows that their corresponding side lengths are congruent to each other.
Thus:
[tex] RT = BC [/tex]
[tex] (x^2 + x) = 6 [/tex]
Solve for x
[tex] x^2 + x = 6 [/tex]
Subtract 6 from each side
[tex] x^2 + x - 6 = 6 - 6 [/tex]
[tex] x^2 + x - 6 = 0 [/tex]
Factorise
[tex] x^2 + 3x - 2x - 6 = 0 [/tex]
[tex] x(x + 3) -2(x + 3) [/tex]
[tex] (x - 2)(x + 3) [/tex]
x = 2 or x = -3
Calc BC problems. Need work
Answer:
f'(0) = -2
f'(-2) = dne
[tex]\lim_{h \to 0^+} \frac{f(2+h)-f(2)}{h} = \text{does not exist}[/tex]
Step-by-step explanation:
The question specifically asks us to use the graph of the function to evaluate the following problems.
In order to find the derivative of a function at a specific point on the graph:
Choose the point on the graph where you want to find the derivative.Figure out the tangent line to this point; this will be the line tangent to the curve of the graph at this point.The slope of this tangent line is the derivative at this certain point on the graph.In order to find f'(0), find x = 0 on the graph. This is at the origin. Now, draw a line tangent to the curve of the graph at x = 0.
This tangent line will follow the same direction as the original function. So, we want to find the slope tangent line now - we can do so by finding the slope of the graph between the interval [-2, 2].
Slope of tangent line for f'(0):
Slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] Use coordinate points (-1, 2) and (1, -2)Slope of tangent line: [tex]\frac{-2-2}{1-(-1)} = \frac{-4}{2} =-2[/tex]The slope of the tangent line for f'(0) is -2, therefore, this is the derivative at this point on the graph.
This is solving the problem graphically/algebraically, but you could also look at the graph and determine the rise/run in your head. Your choice.
Now, for f'(-2), we cannot use the same process as before since the graph shows that there is a sharp point at x = -2. This is called a "corner" and means that while the function is continuous, it is not differentiable.
Therefore, we can write that at f'(-2), the derivative does not exist (dne).
The same process occurs for f'(2), since there is a sharp point here. The derivative, based on the graph, does not exist.
What is the measure of AC?
DE is 30, so AD is also 30
A full circle is 360
ACE = 360- Ad-de
Ace = 360-30-30 = 300
Ac is half of ace
Ac = 300/2 = 150
The answer is b 150
In a parking lot, 30% of the cars have a GPS. Write this as a decimal.
flesson 3)
Answer:
0.3
Step-by-step explanation:
30% out of 100% is 30/100 or 3/10. 3/10 as a decimal is 0.3.
If this helped I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
0.3
Step-by-step explanation:
30/100= 0.3
You get the 100 as all percentages add up to 100% if 30% of the cars have GPS then you will need to do 30/100 (the whole) to get your answer :)
Write a proportion to represent the scenario. Then Solve.
Katniss shot 12 arrows in 20 seconds. How long will it take Katniss to shoot 60 arrows? Let t represent time to shoot 60 arrows.
Answer:
100 seconds
Step-by-step explanation:
12 arrows in 20 seconds
60 is 5 times of 12
multiply 20 by 5
3radical din 7 minus radical din 7 minus 2radical din 7 plus radical din 8 minus 5 radical din 7 minus 3 radical din 2
Answer:
= -5√7 -(√2)
Step-by-step explanation:
3√7- √7 -2√7+√8 -5√7-3√2
=3√7- √7 -2√7 -5√7+√8 -3√2 (first we place similar radicands together)
=-5√7+√8 -3√2 ( solve the similar radicands)
=-5√7+√2³ -3 (2^1/2) ( break 8 into powers of 2)
=-5√7+ (2)^3/2 -3 (2^1/2) (solve 2 power with the radical sign)
= -5√7+(2^1/2){ 2-3} ( taking2^1/2 as common)
= -5√7+(2^1/2){ -1} ( solving the co - efficients of 2^1/2)
= -5√7 -1 (2^1/2)
= -5√7 -(√2) {answer}
Can some one help me I’ll mark brainliest answer‼️‼️
Answer:
i think its 5.652 hope it helps
Step-by-step explanation:
factor 2w+6
Please explain? I'd like to understand how you did it so that I can do it myself the next time, thanks a mil :)
Answer:
2( w + 3 )
Step-by-step explanation:
Well first off, since theres no common term to factor out, I had to split 6 in half
so 2 w + 6 becomes 2w + 2 x 3.
I then factored out 2 because it's a common term,
which then leaves: 2( w + 3 )
basically, you have to find a common term to factor out, if you don't see one, you have to do something to a number so there's common terms.
In order to assess the opinion of students at the University of Minnesota on campus snow removal, a reporter for the student newspaper interviews the first 12 students he meets who are willing to express their opinion. The method of sampling used is:________.a. a censusb. a cluster samplec. a voluntary response sampled. a convenience samplee. a simple random sample
Answer:
Convenience sampling
Step-by-step explanation:
When a researcher gives more credence to ease when performing its sampling procedure, such sampling process may be referred to as convenience sampling. As described in the scenario above, rather than having to take a Systematic approach at examining the population so as to decide on the best sampling strategy to employ, the reporter of the student newspaper decides to take the easy path towards gathering the opinion of students by interviewing the first 12 students who are willing to give their opinion without any further consideration. Here, the reporter failed to eliminate any sort of possible bias which may be present, as all was sacrificed for the sake of convenience or ease.
Write the integer to represent the statement. 5ft below sea level
SAT scores have been found to predict 36% of the variance in college
GPA. What is the correlation coefficient between SAT score and college GPA?
A. 0.18
B. 0.6
C. 0.06
Which list shows how many equal sized groups of 28 students Ms. Lee can make
Answer:
1,2,4,7,14, or 28
Step-by-step explanation:
I got it right
Write the equation of a line that passes through the points (-2, 3) and (-4, 4) in slope intercept form (y=mx+b).
Step-by-step explanation:
first step is to find the gradient of the line which "m" on the equation
gradient formula is y2 - y1 ÷ x2 - x1 = -½ as shown on the picture we substituted those points given
2nd step is to substitute on the equation y=mx+c
m= -½
y= 3 (you can choose any from those given points but in my case I chose point A)
x= -2
c= ? only unknown variable so we can can calculate it
substitute as shown on the picture to get c= 2
therefore our equation of the line will be y= -½x+2
Which choice includes two pairs of adjacent angles from the coordinate plane? 2 6 3 4 an 21 and 24, 22 and 25 26 and 25. 23 and 2 Z6 and 24. 21 and 23 © Z4 and Z5, Z2 and 26
Answer:
you need to subtract those number in one whole and like this 2 6 3 4 an 21 and 24, 22 and 25 26 and 25. 23 and 2 Z6 and 24. 21 and 23 © Z4 and Z5, Z2 and 26 the answer is -221
Step-by-step explanation:
The two pairs of adjacent angles from the coordinate plane are as follows;
∠ 6 and ∠ 5
∠ 3 and ∠ 2
Adjacent anglesAdjacent angles are angles that have a common side and a common vertex.
Therefore, the two pairs of adjacent angles are as follows;
∠ 6 and ∠ 5∠ 3 and ∠ 2learn more on adjacent angles here: https://brainly.com/question/20537672
Solve for x: −7 x > 9
There's not much to do here.
-7x > 9
Divide both sides by -7. When dividing by a negative number, you must reverse the inequality sign.
x < -9/7
Done.
Help me will give brainliest
Answer:
18.2
Step-by-step explanation:
A way we can find the average is by finding the mean.
Mean is found when you add up all the numbers and divide by the total amount of values there are.
In this case there are 5 values in total.
[tex]\frac{17+24+19+17+14}{5}[/tex] = 91/5 = 18.2
Answer:
18.2
Step-by-step explanation:
add all values together and divide by number of values.
17+ 24+ 19+ 17+14
then divide by 5
How many grade seven students of koronadal national comprehensive high school are there in all
The complete question is;
The following diagram(attached) shows how all the Grade Seven students of
Koronadal National Comprehensive High School go to school.
How many grade seven students of koronadal national comprehensive high school are there in all
Answer:
269 students
Step-by-step explanation:
From the venn diagram attached, we can see various given numbers of the students of the different modes of transport to school.
To get how many grade 7 students there are in total, we will add all the students inside the venn diagram simply because the set of grade 7 students are represented by those inside the venn the venn diagram while the number 100 outside the venn diagram is not a member of the set of grade 7 students which we are dealing with.
Thus,
Total number of grade 7 students = 76 + 19 + 15 + 17 + 55 + 20 + 67 = 269
(2^3x+1) 52 value of x is
Answer:
6^2x+52
Step-by-step explanation:
Zachary found a string of pearls
that was 4 3/4 pounds. He found
another that was 3 1/2 pounds. How
many pounds of pearls did
Zachary find?
Answer:
He has 8 1/4 or 8.25 pounds of pearls
Step-by-step explanation:
4 3/4 + 3 1/2
You change 3 1/2 to 3 2/4 and then add them normal and change the improper fraction to a mixed number.
On September 16, 2011, the New York Times reported that the American public's approval rating of Congress had sunk to an all-time low of 12%. Suppose we wanted to carry out another poll the following week. How many individuals must we survey to estimate the proportion who approve of Congress at that point to within 3% at 95% confidence?
Answer:
The sample size is [tex]n = 451 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is E = 0.03
The sample proportion is [tex]\^ p = 0.12[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{1.96}{0.03} ]^2 *0.12 (1 - 0.12 ) [/tex]
=> [tex]n = 451 [/tex]
This question is based on concept of normal distribution.Therefore, 451 individuals must survey to estimate the proportion who approve of Congress at that point to within 3% at 95% confidence.
Given:
The sample size is n=451.
According to question,
The margin of error is E = 0.03
The sample proportion is [tex]\bold{\hat{p}}[/tex] =0.12
From the question, the confidence level is 95% , hence the level of significance is,
[tex]\alpha =(100-95)\%\\\bold{\alpha =5\%=0.05}[/tex]
Normally, as per the normal distribution table the critical value of,
[tex]\dfrac{\alpha }{2}[/tex] is
[tex]\bold{Z_\frac{\alpha }{2} =1.96}[/tex]
And ,the sample size in mathematically represented as,
[tex]\begin{aligned}n&=(\frac{Z_\frac{a}{2} }{E})^{2} \times \hat p(1-\hat p)\\n&=(\frac{1.96}{0.03})^2 \times 0.12(1-0.12)\\\bold{n&=451} \end{aligned}[/tex]
Hence, there are 451 individuals must we survey to estimate the proportion who approve of Congress at that point to within 3% at 95% confidence.
For further details, please prefer this link:
https://brainly.com/question/15103234
) Write an expression to show the amount of
soup Marta has left. Let s equal the number
of ounces of soup Marta makes.
2
S
32
Answer:
s-32
Step-by-step explanation:
i got it correct:)
S-32 is the expression to show the amount of soup Marta has left
What is Expression?An expression is combination of variables, numbers and operators.
Given,
Marta makes S ounces of soaps.
She always freezes 32 of the soap for remaining.
We need to find the expression to show the amount of soup Marta has left.
This can be done by the expression
S-32
where S is the number of ounces.
Hence, S-32 is the expression to show the amount of soup Marta has left
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ5
Find the two partial products in this problem.
1,407x14
Answer:
1,407
x 14
_______
5,628
+ 1,4070
______
19,698
The two partial products are 5,628 and 14,070
Max placed 6 cans in a box and the box was 40% full.How many cans will the box be able to hold when it’s completely full?
Answer:
4 cans
Step-by-step explanation:
this can be 4 cans because if 6 cans equal 40% it's opposite so 4 cans equal 60% so full is 100% so 60%+40%=100%
(Ill be giving brainliest to who ever helppppss me!! :D)
Solve one and three fourths times two fourths.
A) fourteen sixteenths
B) fifteen sixteenths
C) seventeen sixteenths
D) eighteen sixteenths
Answer:
Option A
Step-by-step explanation:
In order to find the answer to this question you must change the mixed numbers into improper fractions and then solve.
[tex]1\frac{3}{4} \times\frac{2}{4}[/tex]
Convert into improper fraction:
[tex]4\times1=4+3=7[/tex]
(Remember to keep the denominator the same)
[tex]\frac{7}{4} \times\frac{2}{4}[/tex]
Now multiply:
[tex]7\times2=14[/tex]
[tex]4\times4=16[/tex]
[tex]=\frac{14}{16}[/tex]
Hope this helps.
Answer:
14/16
Step-by-step explanation:
A person picking apples stand on a ladder 3.0 m above the ground. He throws them into
a basket 2.0 m away. How fast must the person throw the apple in order for it to land in
the basket?
Exercise 12-4 Pooling overhead cost LO 12-2 Stuart Manufacturing Company produced 2,600 units of inventory in January 2018. It expects to produce an additional 8,700 units during the remaining 11 months of the year. In other words, total production for 2018 is estimated to be 11,300 units. Direct materials and direct labor costs are $82 and $66 per unit, respectively. Stuart expects to incur the following manufacturing overhead costs during the 2018 accounting period:
Production supplies $ 6,200
Supervisor salary 188,000
Depreciation on equipment 134,000
Utilities 29,000
Rental fee on manufacturing facilities 224,750 Required
1. Combine the individual overhead costs into a cost pool and calculate a predetermined overhead rate assuming the cost driver is number of units. 2. Determine the cost of the 2,600 units of product made in January.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Total number of units= 11,300
Total overhead= 6,200 + 188,000 + 134,000 + 29,000 + 224,750= $581,950
To calculate the predetermined manufacturing overhead rate we need to use the following formula:
Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base
Predetermined manufacturing overhead rate= 581,950 / 11,300
Predetermined manufacturing overhead rate= $51.5 per unit
Now, we can calculate the total cost of making 2,600 units:
Total cost= (82 + 66 + 51.5)*2,600
Total cost= $518,700