simplify [tex]\sqrt{.49x^{18} }[/tex] where x<0
Answer:
-7x⁹
Step-by-step explanation:
[tex]\sqrt{49x^{18}} = \sqrt{(7^2)(x^9)^2} =\sqrt{(7x^{9})^2} = |7x^9|[/tex]
Since x < 0 ,then |7x⁹| = -7x⁹
A certain manufacturing company has the following data on quantities shipped and unit costs for each of its four products.
Products
Base-Period
Quantities (Year 1)
Mean Shipping Cost
per Unit ($)
Year 1
Year 5
A
1,500
10.50
15.90
B
5,000
16.25
33.00
C
6,500
12.20
18.40
D
2,500
20.00
35.50
Use the price data to compute a Paasche index for the shipping cost if year 5 quantities are 4,000, 3,000, 8,000, and 3,000 for products A, B, C, and D, respectively. (Round your answer to the nearest integer.)
I5 =
Answer:
Paasche's Index= 168.63= 169
Step-by-step explanation:
Products
Base-Period Current Period
Quantities Mean Shipping Quantities Mean Shipping
(Year 1) Cost per Unit ($) (Year 5) Cost per Unit ($)
A 1,500 10.50 4000 15.90
B 5,000 16.25 3000 33.00
C 6,500 12.20 8000 18.40
D 2,500 20.00 3000 35.50
Paasche's Index= ∑ pn.qn/∑po.qn* 100
Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.
Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.
Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.
Product pn.qn po.qn
A 15.90* 4000 10.50* 4000
= 63600 =42000
B 33.00*3000 16.25 * 3000
= 99000 = 48750
C 18.40* 8000 12.20 *8000
=147200 =97600
D 35.50* 3000 20.00*3000
=106500 60,000
∑ 416300 248350
Paasche's Index= ∑ pn.qn/∑po.qn= 416300/ 248350 *100 = 1.676=1.68= 168.63= 169
A pollen grain is 3/10 to the third power centimeters wide. In an illustration, the pollen grain is 6 centimeters 10 wide. How much larger is the illustration than the actual pollen?
Answer:
The illustration is approximately 226 times larder than the actual pollen grain.
Step-by-step explanation:
First of all, we have to write out the size of the actual pollen grain in a manner that is easy for us to work with.
This will be
[tex](\frac{3}{10}) ^{3}=0.027cm[/tex] wide
The original width of the pollen is 0.027 cm.
Next,
We can take the width of the illustration to be 6.10 cm wide.
After this,
To get the magnification factor, we will have to use the formula
Magnification = illustrated size/ actual size
This will be the magnification = [tex]6.10/0.027[/tex] = 255.92 times
Hence, the illustration is approximately 226 times larder than the actual pollen grain.
If 3 13/44x = 2 7/11, then what is x?
Answer:
X equals 4
11 times 4 equals 44
Answer:
x = 4
Step-by-step explanation:
you multiply 11 by 4, and get 44
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
D & E
Step-by-step explanation:
4[tex]x^{2}[/tex] + 32x + 60 = 0
divide whole eqn by 4
[tex]x^{2}[/tex] + 8x + 15 = 0
(x + 3)(x + 5) = 0
x = -3 or -5
In a Monopoly market, a firm is a price maker since there are no close substitutes to the product. You are asked to find the company's Proft-Maximization point. Fixed Costs remains at $1,000.00. Calculate the revenue, profit (any), and costs on the graph,
find the value of x. Round the length to the nearest meter
Answer:
we need a picture to help
If the length of one base of a trapezoid is 44, the median is 36, and the other base is 2x + 10, find x.
Answer:
9
Step-by-step explanation:
The median is the average of the base lengths. Where "b" is the length of the other base, we have ...
36 = (44 +b)/2
b = 72 -44 = 28
We are told this is the same as 2x+10, so we have ...
28 = 2x +10
18 = 2x . . . . . subtract 10
9 = x . . . . . . . divide by 2
The value of x is 9.
x^2 + 1/2x +____ = 2 + ____
Answer:
1/16, 1/16
Step-by-step explanation:
Perhaps you want to complete the square. You do that by adding the square of half the x-coefficient:
((1/2)/2)^2 = (1/4)^2 = 1/16
The number to complete the square is 1/16. It is added to both sides of the equation to give ...
x^2 +1/2x +1/16 = 2 +1/16
_____
Written as a square, the equation is ...
(x +1/4)^2 = 33/16
Two angles are supplementary. The measure of the larger angle is 12 degrees more than three times the smaller angle. Find the measures of the angles
Answer:
Measure of first angle: 42 degrees,
Measure of second angle: 138 degrees
Step-by-step explanation:
Let us say x ⇒ measure of the smaller angle, y ⇒ measure of the larger angle
1. Now given that the measure of the larger angle is 12° more than 3 times the smaller angle: y = 12 + 3x
2. If these angles are supplementary, we could formulate another equation were the two angles add to 180°: x + y = 180
3. In this situation it is convenient to apply substitution as to solve for x, y:
1. x + ( 12 + 3x ) = 180
2. x + 12 + 3x = 180
3. 4x + 12 + 180
4. 4x = 168
5. x = 42 degrees
4. Now substitute this value of x into the first equation y = 12 + 3x, and to solve for y as well:
1. y = 12 + 3 ( 42 )
2. y = 12 + 126
3. y = 138 degrees
Here we need to find two angles given that the angles are supplementary and one is 12° larger than the other.
the two angles are 84° and 96°.
We should start by defining what supplementary angles are.
Two angles a and b are supplementary if:
a + b = 180°.
Now, we also know that one of the angles is 12° larger than the other, so we can write:
a = b + 12°
Now that we have that equation, we can replace it in the first one, so we get:
a + b = 180°
(b + 12°) + b = 180°
Now we can solve this for b.
2*b + 12° = 180°
2*b = 180° - 12° = 168°
b = 168°/2 = 84°
To find the value of a, we can use the equation:
a = b + 12°
a = 84° + 12° = 96°.
Then the two angles are:
84° and 96°.
If you want to learn more, you can read:
https://brainly.com/question/18164299
Today a shoe store it’s at 20% of the price of a pair shoes and for the next three days it will take 20% of the previous days price if the price of a pair of shoes yesterday was $200 what will be the price of the pair of shoes three days from now
A.160.00
B.128.00
C.102.40
D.81.92
If the price of the shoe yesterday was $200 and on this day 20 percent has been taken thus it will have $160. In the next 3 days if another 20 percent will be taken out from the previous $160 then the final answer is $128.
ps.. can u give brainly pls :3
Compute the probability of randomly selecting an eight or jack
Answer:
2/13
Step-by-step explanation:
In a regular deck of cards, there are a total of 52 cards. Of these, there are 4 8's and 4 jacks, making a total of 8 "desirable" outcomes. Therefore, the probability is 8/52=2/13. Hope this helps!
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 14 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
Answer:
[tex]x=30\\y=68\\z=82[/tex]
Step-by-step explanation:
x = measure of the first angle
y = measure of the second angle
z = measure of the third angle
The sum of the measures of the second and third (y+z) is five times the measure of the first angle (=5x)
[tex]y+z=5x[/tex]
The third angle is 14 more than the second
[tex]z=y+14[/tex]
And remember that the sum of these three angles must be equal to 180.
[tex]x+y+z=180[/tex]
Let's take these equations
[tex]y+z=5x\\z=y+14\\x+y+z=180[/tex]
If you take a look at the first equation, we have y+z = 5x and we have y+z in the third equation as well, we can replace that....
[tex]x+y+z=180\\x+(y+z)=180\\x+(5x)=180[/tex]
Distribute the + sign
[tex]x+5x=180[/tex]
Combine like terms;
[tex]6x=180[/tex]
Divide by 6.
[tex]x=\frac{180}{6}\\ x=30[/tex]
We have now defined that the measure of the first angle is 30º.
Let's take another equation... for example [tex]z=y+14[/tex]
I'm going to take this one because if I replace x and z in the third equation, all I'll have left will be y.
[tex]x+y+z=180\\30+y+(y+14)=180[/tex]
Distribute the + sign and Combine like terms;
[tex]30+y+y+14=180\\44+2y=180\\[/tex]
Subtract 44 to isolate 2y.
[tex]2y=180-44\\2y=136[/tex]
Now divide by 2.
[tex]y=\frac{136}{2}\\ y=68[/tex]
We already have the value of x and y. Once again, replacing this in the third equation will leave us with z to solve for.
[tex]x+y+z=180\\30+68+z=180\\98+z=180\\z=180-98\\z=82[/tex]
What is the volume of a right circular cylinder with a radius of 5 cm and a height of 12 cm?
Unit Te
4.05 Unit
EN OP
60 cm
120 cm
3007 cm
12007 cm
Answer:742 cm^3
Step-by-step explanation:
Height=h=12cm
Radius=r=5cm
π=3.14
volume of cylinder=π x r^2 x h
Volume of cylinder=π x r x r x h
Volume of cylinder=3.14 x 5 x 5 x 12
Volume of cylinder=742 cm^3
Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!
Answer:
its C
Step-by-step explanation:
Hope this helps!!
Answer:
B. Week 6
Step-by-step explanation:
[tex]f(x) = 2^{x}[/tex]
We know that f(x) represents number of subscribers, x represents week number. So plug in 64 for f(x).
[tex]64 = 2^{x}[/tex]
Uh-oh, how do we solve this? We need to go from exponential form to logarithmic form.
[tex]64 = 2^{x}[/tex]
log₂(64) = x
We're basically asking the question: 2 to the what equals 64? And we can plug this into the calculator as log₂(64) (on TI-84, it's MATH->logBASE(). Or you can just think about it:
2 x 2 x 2 x 2 x 2 x 2 = 64.
There are 6 2s, so 6 is the answer.
consider the function f(x) = 2(3)^x. which of the function in the graph below represents f(x-4)?
Answer:D or k(x)
Step-by-step explanation: Ik because I cheated like the rest of you, your welcome.
9 inches of ribbon are needed for wrapping each present. How many presents can be wrapped with 6 yards of ribbon?
Answer:
a total of 24 presents can be wrapped
Step-by-step explanation:
6 x 3 = 18 feet of ribbon
18 x 12 = 216 inches of ribbon
216/9 = 24 presents can be wrapped
i need to know what is y and the work
Answer:
y = 3
Step-by-step explanation:
5x3=15, 15+3 =18
Determine cos 37 ° to five decimal places.
Anyone know the answer?
Mr. Ribaudo has 120 papers. He graded 42 papers. What percent of papers have been graded? *
Answer:
The answer is 35%
Step-by-step explanation:
How much is 42 out of 120 written as a percentage? Convert fraction (ratio) 42 / 120 Answer: 35%
faz um bom tempo que não faço expressões numéricas,vcs podem me ajudar!
Answer:
English Plz
Step-by-step explanation:
What is the first step in factoring polynomials
Answer:
Factor out the greatest common factor
Step-by-step explanation:
The first step when factoring any polynomial is to factor out the GCF. The GCF is the greatest common factor for all the terms of the polynomial. By factoring out the GCF first, the coefficients and constant term of the polynomial will be reduced.
A rectangular storage container is 15 feet long 12 feet wide and 8 feet high what is the surface area of the storage container
Answer:
1440 feet
Step-by-step explanation:
15 × 12 × 8 = 1440
Write the sentence as a proportion: $3.50 for 9 bottles is equivalent to $31.50 for 81 bottles.
Answer:
$0.39:1
Step-by-step explanation:
$0.39:1
Dividing the amount by the cost of the bottles.
How would you find the circumference of a circle if you know the area of the circle?
Answer:
You first work out the radius, as below:
Area = pi x radius^2
=> radius = sqrt(Area/pi)
Then, you find out circumference C.
=> C = 2 x pi x radius
Hope this helps!
:)
Find cos theta, tan theta, and csc theta, where is the angle shown in the figure.
Give exact values, not decimal approximations.
The exact values of [tex]cos\theta[/tex], [tex]tan\theta[/tex], and [tex]cosec\theta[/tex] are [tex]\frac{\sqrt{33} }{7}[/tex], [tex]\frac{4}{\sqrt{33} }[/tex] and [tex]\frac{7}{4}[/tex] respectively.
What is sine of an angle?The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.
What is cosine of an angle?In a right triangle, the cosine of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H).
What is tangent of an angle?The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
What is cosecant of an angle?In a right angled triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the side opposite the angle.
According to the given question.
We have a right angle triangle ABC.
In which
AB = 7
AC = 4
Now by Pythagoras Theorem
[tex]AB^{2} =AC^{2} +BC^{2}[/tex]
⇒ [tex](7)^{2} = (4)^{2} + BC^{2}[/tex]
⇒ [tex]49 = 16 +(BC)^{2}[/tex]
⇒ [tex]49 - 16=BC^{2}[/tex]
⇒ [tex]BC^{2} = 33[/tex]
⇒ [tex]BC=\sqrt{33}[/tex]
In the right angle triangle
Hypotenuse, AC = 7
The side BC is the adjacent side w.r.t angle θ.
And, Side BC is the opposite side w.r.t angle θ.
Therefore,
[tex]tan\theta=\frac{4 }{\sqrt{33} }[/tex]
[tex]cos\theta= \frac{\sqrt{33} }{7}[/tex]
[tex]sin\theta= \frac{4}{7}[/tex]
[tex]cosec\theta=\frac{1}{sin\theta} =\frac{1}{\frac{4}{7} } =\frac{7}{4}[/tex]
Hence, the exact values of [tex]cos\theta[/tex], [tex]tan\theta[/tex], and [tex]cosec\theta[/tex] are [tex]\frac{\sqrt{33} }{7}[/tex], [tex]\frac{4}{\sqrt{33} }[/tex] and [tex]\frac{7}{4}[/tex] respectively.
Find out more information about cosine, tangent and cosecant of an angle here:
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Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
B and E
Step-by-step explanation:
2x²-7x+3=0
2x²-x-6x-3=0
x(2x-1)-3(2x-1)=0
(x-3)(2x-1)=0
x=3 or x=1/2
how do i solve 4/5 divided by 3/4
what is the answer please help
Answer:16/15 or 1 1/15
Step-by-step explanation:
4/5 ➗ 3/4
4/5 x 4/3
(4 x 4) ➗ (5 x 3)
16 ➗ 15=16/15 or 1 1/15
A sector with a radius 12 cm has an area of 60 pi cm2. What is the central angle measure of the sector in degrees?
Answer:
The central angle measure of the sector is 150º.
Step-by-step explanation:
A sector of a circle is the portion of a circle enclosed by two radii and an arc.
When you know the central angle the area of a sector is given by
[tex]A=\pi r^2(\frac{C}{360} )[/tex]
where
r is the radius of the circle of which the sector is part.
C is the central angle in degrees.
We know that the area of the sector is [tex]60\pi \:cm^2[/tex] and the radius is 12 cm. Applying the above formula and solving for the central angle we get that
[tex]60\pi =\pi (12)^2(\frac{C}{360}) \\\\\pi \left(12\right)^2\left(\frac{C}{360}\right)=60\pi \\\\\frac{\pi 12^2\cdot \frac{C}{360}}{144\pi }=\frac{60\pi }{144\pi }\\\\\frac{C}{360}=\frac{5}{12}\\\\C=150[/tex]
Answer:5pi/6
Step-by-step explanation:
