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▹ Answer
This is proportional.
▹ Step-by-Step Explanation
[tex]\frac{12}{6} \\\\Divide each side by 3:\\\\12/3 = 4\\\\6/3 = 2\\\\= \frac{4}{2}[/tex]
Hope this helps!
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Answer: yes
Step-by-step explanation: A proportion is a pair of equal ratios. So when we’re asked to determine whether two ratios form a proportion, what we’re really being asked to do is determine whether the two ratios are equal because i the ratios are equal, then we know they form a proportion.
So in this problem, we need to determine whether 12/6 = 4/2.
The easiest way to determine whether 12/6 = 4/2 is to use cross-products.
If the cross-products are equal, then the ratios are equal.
The cross products for these two ratios are (12)(2) and (6)(4).
Are these products equal?
Well (12)(2) is 24 and (6)(4) is 24.
Since 24 = 24, we can see that the cross-products are equal which means that the ratios are equal and since the ratios are equal, we know that they form a proportion. So the answer is yes, 12/6 and 4/2 form a proportion.
7. solve for x!
please help
(3x/6) + 2 = 8
=> 3x/6 = 8 - 2
=> 3x/6 = 6
=> 3x = 6 × 6
=> 3x = 36
=> x = 36/3
=> x = 12
Answer:
x=12
Step-by-step explanation:
3x/6+2=8
3x/6=8-2
=6
3x/6(6)=6(6)
3x=36
x=12
Someone help please
Answer: Choice A
[tex]\tan(\alpha)*\cot^2(\alpha)\\\\[/tex]
============================================================
Explanation:
Recall that [tex]\tan(x) = \frac{\sin(x)}{\cos(x)}[/tex] and [tex]\cot(x) = \frac{\cos(x)}{\sin(x)}[/tex]. The connection between tangent and cotangent is simply involving the reciprocal
From this, we can say,
[tex]\tan(\alpha)*\cot^2(\alpha)\\\\\\\frac{\sin(\alpha)}{\cos(\alpha)}*\left(\frac{\cos(\alpha)}{\sin(\alpha)}\right)^2\\\\\\\frac{\sin(\alpha)}{\cos(\alpha)}*\frac{\cos^2(\alpha)}{\sin^2(\alpha)}\\\\\\\frac{\sin(\alpha)*\cos^2(\alpha)}{\cos(\alpha)*\sin^2(\alpha)}\\\\\\\frac{\cos^2(\alpha)}{\cos(\alpha)*\sin(\alpha)}\\\\\\\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex]
In the second to last step, a pair of sine terms cancel. In the last step, a pair of cosine terms cancel.
All of this shows why [tex]\tan(\alpha)*\cot^2(\alpha)\\\\[/tex] is identical to [tex]\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex]
Therefore, [tex]\tan(\alpha)*\cot^2(\alpha)=\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex] is an identity. In mathematics, an identity is when both sides are the same thing for any allowed input in the domain.
You can visually confirm that [tex]\tan(\alpha)*\cot^2(\alpha)\\\\[/tex] is the same as [tex]\frac{\cos(\alpha)}{\sin(\alpha)}\\\\[/tex] by graphing each function (use x instead of alpha). You should note that both curves use the exact same set of points to form them. In other words, one curve is perfectly on top of the other. I recommend making the curves different colors so you can distinguish them a bit better.
Combine f(x) =(x)(2x + 5) and g(x) = 2x2 - 13x + 6
Addition
Answer:
f(x) + g(x) is 2(2x² - 4x - 3)
Step-by-step explanation:
[tex]f(x) + g(x) = (x)(2x + 5) + ( {2x}^{2} - 13x + 6) \\ = (2 {x}^{2} + 5x) + (2 {x}^{2} - 13x + 6) \\ = 4 {x}^{2} - 8x - 6 \\ = 2(2 {x}^{2} - 4x - 3)[/tex]
-1/2 divided by 1/19
Answer:
-19/2 or
-9 1/2
Step-by-step explanation:
-1/2 ÷ 1/19
Copy dot flip
-1/2 * 19/1
-19/2
-9 1/2
f(x)=3-2x whats f(0) =?
Answer:
The answer would be F(x)= 3
Step-by-step explanation:
you just substitute the 0 for all the x's in this case the x next to the 2.
f(x)= 3-2(0)
Then you multiply the 2 to the 0 which will give you 0.
f(x)= 3-0
And lastly you would subtract the 3 from the 0 and your answer will be
F(x)=3
Hope this helped!!!
Help fast please!! Which expression is equivalent to..
Answer:
1/8 = 2³ * 2⁻⁶
Step-by-step explanation:
2³ * 2⁻⁶ = 2³⁻⁶ = 2⁻³ = 1/2³ = 1/(2*2*2) = 1/8
Which equation has roots of –3 and 5?
(x+3)(x-5)=0
(x+3)(x+5)=0
O
(x-3)(x+5)=0
(x-3)(x-5)=0
C
Answer:
(x + 3)(x - 5)
Step-by-step explanation:
PLEASE HELP ASAP! Alayna is hanging a picture frame in the center of a wall that is 8 feet wide. If the picture frame is 22 1/4 inches wide, how far will each side of the picture frame be from the edge of the wall (in inches)? First, estimate the amount and then find the exact measurement. In two or more complete sentences, explain how you solved the problem. You may include a diagram in your explanation if you wish.
Answer:
See below.
Step-by-step explanation:
Approximation:
The wall is 8 ft wide.
The frame is 22 1/4 inches wide. 22 1/4 inches is close to 2 ft since 2 ft = 24 inches.
8 ft - 2 ft = 6 ft
There will be approximately 6 ft of space tot he sides of the frame.
6 ft/2 = 3 ft
3 ft * 12 in./ft = 36 in.
There will be approximately 36 in. on each side of the frame.
Exact:
8 ft - 22 1/4 in. = 8 * 12 in. - 22 1/4 in. =
= 96 in. - 22 1/4 in.
= 95 4/4 in. - 22 1/4 in.
= 73 3/4 in.
The total amount of width of the wall not occupied by the frame is 73 3/4 in.
Half of that amount is on each side of the frame.
(73 3/4 in.)/2 = (73 3/4 in.) * 1/2 = (73 * 1/2 + 3/4 * 1/2) in. =
= 36 1/2 in. + 3/8 in.
= 36 4/8 in. + 3/8 in.
= 36 + 7/8 in.
= 36 7/8 in.
Use the Law of Sines to find the missing angle of the triangle.
Find m < C to the nearest tenth if the c= 102, a = 71 and m < A=40
Answer:
66.9 degrees
Step-by-step explanation:
The Law of Sines states that a/sinA = c/sinC. Plugging in the values for c, a, and M < A, we get:
71/sin40 = 102/sinC
Cross multiplying, we get:
102(sin40deg) = 71(sinC)
Now, we simplify the left side and get:
65.56 = 71(sinC)
Next, we divide 65.56 by 71 to get:
0.92 = sinC
Taking the inverse sign we get:
C = 66.9 degrees
Can someone please help meee
Answer:
b
basically 5/8 goes to 1/2 0.8 times which is 4/5
Reduce 102/126 to its lowest terms
Answer:
17/21
Step-by-step explanation:
102/126
Divide the top and bottom by 6
17/21
Answer:
17/21
Step-by-step explanation:
102/2=51 126/2=63
51/3=17 63/3=21
17/21
Algebra 1 need help ASAP
Answer:
first one ( x ≥ -12)
Step-by-step explanation:
when you divide by -12 for both sides, the inequality reverses as the value is negative.
First one is the answer I think so
An executive for a large company is considering a change to health insurance plans offered to the employees. To
assess employee satisfaction with the current plan, the executive sends an email to all company employees asking
their opinion of the current plan. A summary of the results received shows that 27% of company employees are
"highly satisfied" with the current health insurance plan. Which statement about the results is most likely to be true?
Answer:
not D
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
Which of the following is a rational number?
square root 97
square root 98
square root 99
square root 100
Answer:
[tex]\sqrt{100}[/tex] is a rational number
Step-by-step explanation:
[tex]\sqrt{97}=9.848857.....\\\\\sqrt{98}=\sqrt{2*7*2}=2\sqrt{7}\\\\\sqrt{99}=\sqrt{3*3*11}=3\sqrt{11}[/tex]
Square root of all prime numbers are irrational numbers
You invested $8,307 into stocks of a company which
were priced at $13.71/sh. How many shares did you
purchase?
Answer:
606 shares
Step-by-step explanation:
Number of shares= (Total money spent)/(Each share price)
Number of share=(8307)/13.71=605.9≈606
Help me plss!!!!!
Consider the graph of the function below.
Which statement about the graph below is incorrect?
A. The degree of the polynomial is even.
B. There is a positive leading coefficient.
C. There is one relative minimum.
D. There is one relative maximum.
a
A
b
B
С
d
D
Answer: A) The degree of the polynomial is even
We can determine this by noticing that the end behavior is different on both sides. The left end goes downward while the right end goes upward. This opposing nature indicates we have an odd degree function like a cubic. If this was an even degree function, then the left end must also point upward to mirror the right end. That's why choice A is the final answer.
Choice B can be ruled out since it's a true statement. This is because the right end behavior goes to positive infinity. Such end behavior is tied to positive leading coefficients (whether even or odd functions, it doesn't matter).
Choice C is also true and can be ruled out because this function curve does have one relative minimum. It's the location where the curve bottoms out in the valley at around x = 3.5 or so. It's the lowest point in the neighborhood/interval of points.
Choice D can be ruled out for similar reasons as choice C, except this time we're looking at the highest point in a certain neighborhood. That highest point occurs somewhere between x = 1.5 and x = 2 where the peak of the hill is located.
To rephrase those last three paragraphs: choices B through D are true statements, so they can be ruled out.
A trader buys tea for $1200 and sells it for $1500. Per sack of tea he makes a profit of $50. How many sacks of tea did he have?
Answer:
6 sacks
Step-by-step explanation:
Buying Price = $1200
Selling Price = $1500
Total profit = Selling price - Buying Price
= $1500 - $1200
= $300
Given that the profit on each sack of tea is $50
Number of Sacks of Tea = Total Profit ÷ profit per sack
= $300 ÷ 50
= 6 sacks
The number of sacks of tea he has is 6.
The first step is to determine the total profit earned by the trader. Profit is the selling price less the cost price.
Profit = selling price - cost price
$1500 - $1200 = $300
The second step is to divide the total profit by the profit made per sack of tea.
Number of sacks = $300 / $50 = 6
To learn more about division, please check: https://brainly.com/question/194007
The Yogurt Packaging company is now re-designing their factory. They are going to construct a building in
the shape of a square box. Their contractor has told them that the diagonal braces needed to make the roof
are 150 feet long.(please help)
1. What would be the floor plan of the building? Label the diagonal braces
2. Find the dimensions of the new factory
3.Find the perimeter of the new factory
4.the yogurt machines will be placed along the wall of the new factory . Each machine is 10 feet wide.
Find the company fit 40 of the machines in the building Why or Why not ?
Answer:
1. see attached diagram
2. The dimensions are 75 sqrt(2) by 75 sqrt(2) ft
3. The perimeter is 300 sqrt(2) ft
4. cannot fit 40 machines along the walls
Step-by-step explanation:
We are using a top down view. We have a square building with side length s. The diagonal is 150 ft
Using the Pythagorean theorem
s^2 + s^2 = 150^2
2s^2 = 22500
s^2 =11250
Taking the square root of each side
sqrt(s^2) = sqrt(11250)
s = sqrt(6225*2)
s = 75 sqrt(2)
The dimensions are 75 sqrt(2) by 75 sqrt(2) ft
The perimeter of a square is given by
P = 4s = 4(75 sqrt(2)) =300 sqrt(2) ft
The perimeter is 300 sqrt(2) ft
Assuming the machines are square ( that they are as wide as they are long) 75 sqrt(2) is approximately 106 ft so you can fit 10 along the wall
Putting them along the top and bottom walls = 20 machines
We are only left with 86 ft along the side walls
86/10 = 8 machines
machines * 2 walls = 16
We can fit 20+16 machines = 36 machines not 40
Is 3.18 a real number
You buy 3 pairs of pants for $19 each and 5 shirts for $10 each. Which of the following is a good estimation of how much money you spent?
Answer
19 X 3= 57
10 X 5= 10
57 + 10=
Therefore your answer is $67
Hope this helps! （づ￣3￣）づ╭❤～
Step-by-step explanation:
Find the indicated side of the right triangle
Answer:
Step-by-step explanation:
tan30°=3/x
xtan30°=3
x=3/tan30°
x= 5.2
Isabella saved $13,000 and bought a car that cost $11,675. The insurance for the car will cost $650 per year.
How many full years will Isabella be able to pay for car insurance with her remaining savings?
Answer:
isabella will be able to pay 2 full years of insurance with her remaining savings
Step-by-step explanation:
as we know isabella saved $13,000
the car cost $11,675 - so subtracting that from her total we will know that she has: $1,325 remaining
insurance for a year costs $650,
so we will divide her remaining sum by the yearly cost giving us -
1,325/650
= 2.0.3....
this means that she will be able to pay for 2 full years of insurance with her remaining savings
hope this helped:)
========================================================
Explanation:
x = number of years
Since it costs $650 a year for insurance, she will pay 650x dollars of insurance in total over those x years.
For example, if x = 4, then 650*x = 650*4 = 2600 dollars is paid in insurance.
The expression 650x is added onto the 11675 which is the cost of the car.
Overall, Isabella pays 650x+11675 dollars as the combined cost of the car itself and the insurance over those x years.
Set this equal to 13000 and solve for x
650x+11675 = 13000
650x = 13000 - 11675
650x = 1325
x = 1325/650
x = 2.03846 which is approximate
Rounding down to the nearest whole number gets us to x = 2
She will be able to afford 2 full years of insurance
Note that if x = 3, then,
650x+11675
650*3+11675
13625
Which is 625 dollars over her budget. This shows that she cannot have x = 3 or larger.
5000 X 10 X 10 X 50
Answer:
25000000
5000 X 10 is 50000
50000 X 10 is 500000
500000 X 50 is 25000000
Step-by-step explanation:
Answer:
25000000
Step-by-step explanation:
A way to tackle this is to split all the numbers up into a digit and a power of 10.
5000 = 5*1000, and 1000 can be written as 10^3
10 = 1*10, and obviously 10 is 10^1
50 = 5*10, where 10 is 10^1
Now we have (5*10^3) * (1 * 10) *(1 *10)*(5 *10)
Gathering all the digits, we have 5*1*1*5, giving us 25
Gathering all the powers of 10, we have 10^3*10*10*10 = 10^6
expanding and multiplying gives us the final answer of 25000000
solve 2(1/9)× = 2/81 for x
Answer: x=1/9
Step-by-step explanation:
[tex]2\left(\frac{1}{9}\right)x=\frac{2}{81}[/tex]
[tex]\frac{2}{9}x=\frac{2}{81}[/tex]
multiply both sides by 9
[tex]9\cdot \frac{2}{9}x=\frac{2\cdot \:9}{81}[/tex]
[tex]2x=\frac{2}{9}[/tex]
divide 2 on both sides
[tex]x=\frac{1}{9}[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE QUESTION!!
Answer:
(base x height x length)/2 = volume
6x8x8 = 384/2 = 192in^3
hope that answers your question
Noah had to water 7 plants. Each plant needed 14 ounces of water. Noah multiplied to find out how much water he would need. Which equation shows the addition equation he could use to check his answer?
14 + 14 + 14 + 14 + 14 + 14 = 84
14 + 7 = 21
14 + 14 + 14 + 14 + 14 + 14 + 14 = 98
7 + 7 + 7 + 7 + 7 + 7 + 7 = 49
Answer:
n3 14 + 14 + 14 + 14 + 14 + 14 + 14 = 98
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Jack received $300 for his 13th birthday. If he saves it in a bank account with 8% interest compounded yearly, how much money will he have in the bank by his 18th birthday?
300(1.08)^5
440.798423
at the movie theatre admission is $6.30 an adult admission is $9.60. on thursday twice as many adult tickets as child tickets were sold for a total sale of $535.50 how many child tickets were solf that day
Answer:
number of child tickets sold on saturday is 21
number of adult tickets sold on saturday is 42
Step-by-step explanation:
Let's assume
number of child tickets sold on saturday is x
number of adult tickets sold on saturday is y
On saturday, twice as many adult tickets as child tickets were sold
so, we get
child admission is $6.30 and adult admission is $9.60
a total sales of $535.50
we get
now, we can plug y=2x
now, we can solve for x
now, we can find y
so,
number of child tickets sold on saturday is 21
number of adult tickets sold on saturday is 42.........Answer
HELP!! The aquarium has 6 fewer yellow fish than green fish. 40 percent of the fish are yellow. How many green fish are in the aquarium? Show your work.
Answer:
Answer is 36 I think
Step-by-step explanation:
im not sure
PLEASE HURRY I HAVE 5 MINUTES LEFT
A restaurant charges an automatic gratuity of 18% on tables with more than 6 people. A party of 8 had a bill of p. Which expression can be used to find the total cost of the meal with the gratuity?
a) 0.18p
b) 0.82p
c) 1.18p
d) 18.00p
Answer:
18.00p maybe...............