Answer: √21/√pi
Step-by-step explanation: Surface area of ball is 4(pi)r^2. Divide 84 by 4 and get 21. Dividing 21 by pi and taking the square root therefore is the answer.
Which expressions represent the product of a variable and a coefficient?
Choose 3 answers:
11c
1/2 t
5. 10
j. 4
Answer:
A, B, and D
Step-by-step explanation:
A variable could be represented as a letter.
Coefficient is the number multiplying a variable.
Product means multiplication.
Therefore the expressions that represent the product of a variable and a coefficient are:
11c, ½t, and j*4
A manufacturer is planning to sell a new product for $150 each and estimates that if it spends x thousand dollars on development and y thousand dollars on promotion will sell approximately
320y/(y+2) + 160x/(x+4) unit
The cost to produce each unit of that product is $50. If the producer spends a total of $8,000 on development and promotion, how should this money be allocated to get the maximum profit?
The maximum profit is achieved when the manufacturer spends $4,000 on development and $4,000 on promotion.
How to calculate the profitThe profit is given by
(150 - 50) * (320y/(y+2) + 160x/(x+4)) - x - y
= 100 * (320y/(y+2) + 160x/(x+4)) - x - y
= 32000y/(y+2) + 16000x/(x+4) - x - y
We want to maximize this function subject to the constraint that x + y = 8.
We can do this by using Lagrange multipliers. The Lagrangian is given by
L = 32000y/(y+2) + 16000x/(x+4) - x - y + lambda(x + y - 8)
Setting the partial derivatives of L with respect to x, y, and lambda equal to zero, we get the following equations:
32000/(y+2) - 1 - lambda = 0
16000/(x+4) - 1 - lambda = 0
x + y - 8 = 0
Solving these equations, we get x = 4, y = 4, and lambda = 0.
Therefore, the maximum profit is achieved when the manufacturer spends $4,000 on development and $4,000 on promotion.
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(7.3x105) + (3.7x105) science notation form please help me
a
1.10x10^11
b
11.0x10^5
c
1.1x10^10
d
1.1x10^6
9514 1404 393
Answer:
d. 1.1×10^6
Step-by-step explanation:
As with other kinds of sums, factoring out a common factor can make it easier.
(7.3×10^5) + (3.7×10^5) = (7.3 +3.7)×10^5 = 11.0×10^5
Please note this is the sum, and it matches answer choice B, but it is not "scientific notation." To put this back in scientific notation, we must move the decimal point 1 place to the left. That rewrite looks like ...
11.0×10^5 = (1.1×10^1)×10^5 = 1.1×(10^1×10^5) = 1.1×10^(1+5) = 1.1×10^6
The decorating committee for a school
banquet decides to put flowers on each table. Each
batch of flowers will have 3 white carnations and
5 yellow carnations. The committee will need 60
white carnations. What is the total number of
white
and yellow carnations the committee will
need?
A. 20
B. 100
C. 120
D. 160
Answer:
D. 160
Step-by-step explanation:
This question can be solved by proportions, using a rule of three.
In this question:
For each 3 white carnations, 5 yellows are needed, which leaves us with 8 total carnations. So for 60 white, the total is:
3 white - 8 total
60 white - x total
So
[tex]3x = 60*8[/tex]
Dividing both sides by 3
[tex]x = 20*8 = 160[/tex]
The correct answer is given by option D.
PLEASE HELP ME ASAP I WILL GIVE A BRAINLIST!!!!!!!!!!
Answer:
a.
Mean:70.2
Median:60
Mode:85
b.
The mode best supports her claim as it is the highest of the three.
c.
Her claim is misleading as it doesn't reflect the fact that her scores are declining and that she tends to actually do worse than 85 (most of her scores are below 85)
Step-by-step explanation:
a.
The mean is the sum of all the terms, divide by the amount of terms:
(85+85+60+62+59)/5=351/5=70.2
The median is the middle-most number in the set 85,85,60,62,59: 60
The mode is the most common number in the set 85,85,60,62,59: 85
b.
The mode best supports her claim as it is the highest of the three.
c.
Her claim is misleading as it doesn't reflect the fact that her scores are declining and that she tends to actually do worse than 85 (most of her scores are below 85)
Don’t know how to solve, help ?
Step-by-step explanation:
180 - 120 = 60
32 + 60 = 92
180 - 92 = 88
A file that is 263 megabytes is being downloaded. If the download is 17.6% complete how many megabytes have been downloaded?
Answer:
46.288 megabytes
Step-by-step explanation:
megabytes that have been downloaded
= 17.6% of 263
[tex] = 0.176 \times 263 \\ = 46.288[/tex]
Can someone help me!
Answer:
m∠A = 48.81°
Step-by-step explanation:
Given triangle is a right triangle and we have to measure ∠A.
Since, opposite side and adjacent sides of angle A has been given
So we will apply tangent rule to get the measure of angle A.
tan(∠A) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(∠A) = [tex]\frac{8}{7}[/tex]
∠A = [tex]\text{tan}^{-1}(\frac{8}{7})[/tex]
∠A = 48.814
≈ 48.81°
please help me with this
Answer: [tex]30^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]\sin 60=\dfrac{\sqrt{3}}{2}[/tex]
For
[tex]\cos \theta =\dfrac{\sqrt{3}}{2}[/tex]
It indicates [tex]\theta[/tex] lies in I st quadrant. The value of cosine [tex]30^{\circ}[/tex] is equal to [tex]\dfrac{\sqrt{3}}{2}[/tex]
Therefore, [tex]\theta[/tex] must be [tex]30^{\circ}[/tex]
The side lengths of a triangle are 12, 19, and x units.
12
19
(The figure above gives only one possible configuration for the triangle.)
Determine the possible values of x.
Write your answer as an inequality.
Use x only once in your inequality.
D>
ISO
D20
Х
?
Answer:
7<x<31
Step-by-step explanation:
The third side of any triangle must be more than the difference between the other two sides.
x>19-12
x>7 (or) 7<x
The third side of any triangle must be less than the sum of the other two sides.
x<19+12
x<31 (or) 31>x
Put them together.
7<x<31 (or) 31>x>7
7<x<31 are the possible values of x.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given that side lengths of a triangle are 12, 19, and x units.
We need to find the value of x.
We know that the third side of any triangle must be more than the difference between the other two sides.
x is greater than difference of nineteen and twelve
x>19-12
x>7 (or) 7<x
The third side of any triangle must be less than the sum of the other two sides.
x<19+12
x<31 (or) 31>x
From this we get the interval as
7<x<31 (or) 31>x>7
Hence, 7<x<31 are the possible values of x.
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HELP ASAP!!!!!. A spinner has three sections colored green, purple, and pink. If the spinner is spun twice, how many branches would the tree diagram that represents this situation have? 6 5 9 12
Answer:
9
Step-by-step explanation:
you would do 3+3+3 because there are 3 colors
And i just got it right on my quiz.
There will be 9 branches in the tree diagram of the situation.
What is tree diagram?In probability theory, tree diagrams can be used to represent probability spaces. A tree diagram can represent a set of independent events or conditional probabilities. Each node in the graph represents an event and is associated with the probability of that event.
Given,
A spinner of three sections colored green, purple and pink.
Number of outcomes = 3
spinner is spun twice,
then number of outcomes = 3 × 3 = 9
Number of branches in tree = 9
Hence, 9 branches will be there in probability tree diagram.
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help plz with Algebra question I attached a file
Answer:
x=4.63
Step-by-step explanation:
Area = (1/2) (base) (height)
20 = (1/2) (x+4) (x)
40 = x²+4x
x²+4x-40=0
Put in quadratic equation:
x=[tex]\frac{-4(+/-)\sqrt{4^{2}-4(1)(-40) } }{2(1)}[/tex]
x=[tex]\frac{-4(+/-)\sqrt{176} }{2}[/tex]
x=4.63324958071 or x=-8.63324958071
Since x can't be negative in this case we take our answer to be 4.63324958071, which rounds to 4.63
simplify-7(3x) + 2(3x - 2)
I'll give brainliest
Answer:
-15x-4
Step-by-step explanation:
-21x + 6x-4
-15x-4
What is there area 6m 4cm triangle
Answer:
12cm squared
Step-by-step explanation:
Since the area of a triangle is BxH/2, the area will be 24/2. That equals 12cm squared.
Create an exponential function that models this situation based on the time in secons in the video.
B(t)= __
Answer:
B(t) = 2*[tex]2^{t}[/tex]Step-by-step explanation:
You have all correct choices.
We can use the given values and work out the equation:
B(t) = [tex]ab^{t}[/tex]B(0) = 2 ⇒ a*b⁰ = 2 ⇒ a = 2B(1) = 4 ⇒ a*b¹ = 4 ⇒ 2b = 4 ⇒ b = 2The function for this situation is:
B(t) = 2*[tex]2^{t}[/tex]Answer:
2(2)^t
Step-by-step explanation:
PLATO
Need the answer to angle 1 angle 2 and angle 3
Answer:
angle 1= 120 and angle 2 and 3 = 30
Step-by-step explanation:
Answer:
answer is below
Step-by-step explanation:
angle1=120°
[tex]angle2=angle3=\frac{180-120}{2} =30[/tex]°
What is the composition of transformations mapping ABC to A'B'C"? The first transformation is The second transformation is AABC is AA'B"C".
Answer:
The first Transition is a reflection over the line M
The second transition is a 180 degree rotation.
Step-by-step explanation:
Which graph or table shows a proportional relationship? Select all that apply.
Answer:
The number of days and total miles run one.
Step-by-step explanation:
A proportional relationship is y/x being the same everytime. The first table doesnt fit with that. The second graph isnt a straight line. The third table isnt coreect either. Lastly the forth table workng.
Sorry if im incorrect
x+1/2=2 Plssssssssssssssssssssssssssssss help need anwser fast
Answer:
3/2
Step-by-step explanation:
Step-by-step explanation:
[tex]x + \frac{1}{2} = 2 \\ x = 2 - \frac{1}{2} \\ x = \frac{3}{2} [/tex]
Solve the Following inequality by choosing the Possible range of Values that make the Statement True
x + 3 ≥ 13
Answer:
x has to be greater than or equal to 10 (x ≥ 10)
Step-by-step explanation:
x + 3 ≥ 13
x ≥ 13 - 3
x ≥ 10
PLEASE HELP ME WITH GEOMETRY :(
Answer:
1st option
Step-by-step explanation:
You have to take the radius and times it by 1 which gives you 8 in.
12. What type of sequence is this? *
1,-6, 36,-216, 1296,...
Arthimetic
Geometric
Neither
Answer:
The sequence is Geometric sequence
-5 a root of the Quadratic
equation n² - 8n-65 = o.
What is the other root of the
equation
Answer:
13
Step-by-step explanation:
It is a quadratic equation meaning it has 2 factors and since one of it has root -5, the first factor is (n + 5),
So, we have (n + 5)(n + a) = n^2 + an + 5n + 5a
Thus, by comparison,
n^2 + (5 + a)n + 5a = n^2 - 8n - 65 = 0
5 + a = -8
5a = -65
a = -13
Thus, the other factor is (n -13) and root is 13
A couple is trying to save for down payment on their first house. They wish to have $25,000 in 8 years. How much should they invest monthly in an account that pays 6.1% compounded annually
Answer:
I this 500$
Step-by-step explanation:
Solve for x. Plzz help me
Step-by-step explanation:
The diagram resembles a right angled triangle,
So, By Pythagoras theorem,
(11)²=(4)²+x²
= 121=16+x²
= 121-16=x²
= 105=x²
= root105 =x
Aidans hourly salary is $11. If Aidan normally works a 40 hour week , then how much is normally earned in a week?
Answer:
$440
Step-by-step explanation:
40 x 11 = your answer 440
Help please will mark brainliest
Answer: 22.9
Step-by-step explanation: Perimeter of a triangle is the sum of all side lengths, in this case, 4, 5, and 13.9, and the sum is 22.9. Hope this helps, and have a great day!
Answer:
22.9 i think
Step-by-step explanation:
The graph for y≥-3.
true
false
helpp me
Answer:
I think it's false
Step-by-step explanation
Lincoln's car used 16 gallons to travel 640 miles. How far can he travel on 9 gallons?
Answer: 360
Step-by-step explanation:
Well if you take 640miles and divide it by 16 gallons you get 40mpg so if you get 40mpg times that by 9 and you get 360miles
what the formula of a triangle?!
Answer:
A=hbb/2 hope this helps :)
Step-by-step explanation: