Using a proportional relationship, it is found that the area is of 637 square inches when the radius is of 7 inches.
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
[tex]y = kx[/tex]
In which k is the constant of proportionality.
In this problem, the surface area of a balloon varies directly as the square of mits radius, hence:
[tex]S = kr^2[/tex]
The area is 325 in² when the radius is 5 in, hence we use it to find r.
[tex]S = kr^2[/tex]
[tex]325 = 25k[/tex]
[tex]k = 13[/tex]
Hence:
[tex]S = 13r^2[/tex]
When the radius is of r = 7 in, the area in square inches is given by:
[tex]S = 13r^2 = 13 \times 49 = 637[/tex]
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Which points would be in the critical points of the following: (There is more than one correct answer)
(2, 0)
(0, 3)
(0, 2)
(3, 0)
(0, 0)
(5, 0)
The graph of the function is a linear function
The graph has no critical point
How to determine the critical points
The points on the lines of the graphs are:
(x,y) = {(0,2) (4,0)}
Start by calculating the slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{0-2}{4 - 0}[/tex]
[tex]m =-0.5[/tex]
So, the linear equation is:
[tex]y = -0.5x + 2[/tex]
The above function is a linear function, and a linear function has no critical point
Hence, the graph has no critical point
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Express 50grams into ounces
Answer:
1.7637
Step-by-step explanation:
Welcome to 50 grams to ounces. If you have been wondering about how many ounces in 50 grams, then you are perfectly right here. 50 grams can also be written as 50 g, and the symbol for ounces is oz. In other words, this article is about the conversion of 50 g to oz, to the unit international avoirdupois ounce to be exact, but we also explain you the conversion into the international troy ounce. Read on to learn everything about 50 grams in ounces.
To change 50 g to oz divide the mass in grams by 28.349523125. The 50 grams to ounces formula is [oz] = [50] / 28.349523125. Thus, we get (all results rounded to 2 decimals):
50 g to oz = 1.76 oz
50 g to ounces = 1.76 ounces
50 grams to ounces = 1.76 oz
Fifty grams to ounces equal 1.76 international avoirdupois ounces, the unit used to measure grocery products (mass) in retail stores in the United States for example.
The result also applies to 50 g in oz for dry foods in bulk, but is not valid for liquids, whose volumes are measured in fluid ounces: 50 grams to ounces ≠ 50 grams to fluid ounces.
Finally, 50 grams to troy ounces results in 1.61 oz as the formula is [troy oz] = [50] / 31.1034768. Thus, 50 gram gold to ounces is 1.61 international troy ounces when converted.
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Are these problems real or imaginary?
Step-by-step explanation:
when the exponent is an even number, the value is -1 and real.
when the exponent is uneven (odd), then the result is i and therefore imaginary.
i¹⁴ real
i⁴³ imaginary
i⁷ imaginary
i¹⁰ real
(4 - 5i)² = 4² - 40i + 25i² = 16 - 40i - 25 = -9 -40i imaginary
(7 + 2i)(7 - 2i) = 49 - 4i² = 49 + 4 = 53 real
4x^2 + 2y^3-10=? I don't know the answer may you help me
Answer:
x^2 - 1 = 0
Im not sure if this is how you want it but its one of the ways to answer this problem
Is 6.8 greater than 6.75
Answer:
yes
Step-by-step explanation:
6.80
6.75 8 is greater then 7 therefore 6.80 is greater
Any answers for this one?
Answer:
A=90
B=-20
Step-by-step explanation:
you can see the arrow in A and B
what decisions can be made on the basis of the harris poll survey that measures the reputations of the most visible companies in the united states?
Answer:
56584653984656x9486356986455867
Step-by-step explanation:
carla bought a cat for $12,000 and the value depreciates 8% each year
Answer:
Present Value A=Rs.52,488
Depreciation rate r=10% per annum
Time t=4 years
Let initial value be P
We know the formula, A=P(1−100r)t
Substituting the given values, we get.
52,488=P[1−10010]4
52,488=P(0.9)4
P=0.656152488
P=Rs.80,000
Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without
replacement from a standard deck. If both cards are hearts, your friend will pay you $35. Otherwise, you have to pay your friend $5.
Step 1 of 2: What is the expected value of your bet? Round your answer to two decimal places. Losses must be expressed as negative values.
Answer:
[tex]-2.65[/tex]
Step-by-step explanation:
[tex]x\\\\ P(x)[/tex] [tex]35\\ \\ \frac{156}{2652}[/tex] [tex]-5\\\\\frac{2496}{2652}[/tex]
[tex]E(x)=\frac{156}{2652}\times35-\frac{2496}{2652}\times5\\ =-2.65[/tex]
I hope this helps you
:)
HELP ME OUT PLS!!!!!!
A polygon is translated according to the rule (x,y) - (x – 3, y) to create a new polygon. Which statement is true?
Answer: D
Step-by-step explanation:
This is a translation, so this means side lengths are preserved because a translation is a rigid motion. If all the side lengths are the same, then the perimeters must be the same.
If x is an integer and 0 < x < 2, what is x?
Answer:
x will be equal to 1 because 1 is bigger than 0 but smaller than 2
therefore x=1
can someone help me with this please
Answer:
15.9
Step-by-step explanation:
Draw CE and CF
Note ∠ECD = ∠CFD and ∠D = ∠D
so ΔCED ~ ΔFCD
then ED : CD = CD : PD
CD² = ED x PD = 12 x (9 + 12) = 252
CD = 15.9
M=-6and n=2, the value of the expression
Answer:
the value of expression is
given below
-6×2
=-12 Ans
Select ALL the correct answers.
Matt drew quadrilateral JKLM inscribed in a circle. Which statements could describe the angles in quadrilateral JKLM?
a. m∠L = 125°, m∠J = 35°, and m∠K = 65°
b. m∠M = 55°, m∠J = 48°, and m∠L = 132°
c. m∠J = 84°, m∠K = 12°, and m∠M = 78°
d. m∠L = 40°, m∠M = 60°, and m∠K = 120°
e. m∠K = 72°, m∠L = 44°, and m∠M = 108°
f. m∠J = 105°, m∠K = 65°, and m∠L = 75°
When a quadrilateral is inscribed in a circle, the opposite angles are supplementary
The description of the angles in the quadrilaterals are:
b. m∠M = 55°, m∠J = 48°, and m∠L = 132°d. m∠L = 40°, m∠M = 60°, and m∠K = 120°e. m∠K = 72°, m∠L = 44°, and m∠M = 108°f. m∠J = 105°, m∠K = 65°, and m∠L = 75°How to describe the anglesThe quadrilateral is given as: JKLM
The opposite angles are:
Angles J and LAngles K and MThe opposite angles are supplementary
So, we have:
[tex]J + L = 180[/tex]
[tex]K + M = 180[/tex]
Next, we test the options
Option (a)
[tex]J + L = 180[/tex]
[tex]125 + 35 = 160[/tex]
This is not true
Option (b)
[tex]J + L = 180[/tex]
[tex]48 + 132 =180[/tex]
This is true
Option (c)
[tex]K + M = 180[/tex]
[tex]12 + 78 = 180[/tex]
This is not true
Option (d)
[tex]K + M = 180[/tex]
[tex]120 + 60 = 180[/tex]
This is true
Option (e)
[tex]K + M = 180[/tex]
[tex]72 + 108= 180[/tex]
This is true
Option (f)
[tex]J + L = 180[/tex]
[tex]105 + 75 = 180[/tex]
This true
Hence, the description of the angles in the quadrilaterals are (b), (d), (e) and (f)
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the odd two digit numbers between 54 and 99
Answer:
55,57,59,,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93,95,97
6. Which is an equation of the line with a slope of 1/4 and a y-intercept of -2 ?
A. x - 4y = 8
B. x +4y = -8
C. 4x + y = -2
D. 4x - y = 2
Answer:
ANSWER ' A '
x - 4y = 8
Step-by-step explanation:
Can u solve it?
Find x,y,v and u.
Explanation:
Basically, you can do it in many ways. But just, in my opinion, exactly linear algebra was made for such cases.
the optimal way is to do it with Cramer's rule.
First, find the determinant and then find the determinant x, y, v, u.
Afterward, simply divide the determinant of variables by the usual determinant.
eg. [tex]\frac{Dx_{} }{D}[/tex] and etc.
I think that is the best way to solve it without a hustle of myriad of calculations reducing it to row echelon form and solving with Gaussian elimination.
Describe how to simplify the expression StartFraction 3 Superscript negative 6 Baseline Over 3 Superscript negative 4 Baseline EndFraction. Divide the bases and then add the exponents. Keep the base the same and then add the exponents. Multiply the bases and then subtract the exponents. Keep the base the same and then subtract the exponents.
Answer:
d. Keep the base the same and then subtract the exponents.
Step-by-step explanation:
To simplify the expression, keep the base the same and then subtract the exponents, the correct option is D.
What is an Expression?An expression is a mathematical statement which consists of variables, constants and mathematical operators.
The expression is
[tex]\rm \dfrac{3^{-6}}{3^{-4}}[/tex]
According to the exponent rule
[tex]\rm m^a/m^b = m ^{a-b}[/tex]
3⁻⁶⁻⁽⁻⁴⁾
3⁻²
1/9
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help!!!!!!!!!!me plssssssssssss
Answer:
exactly 135 grandparents
Step-by-step explanation:
Here, it asks us for how many grandparents spend less than two hours online, which is 54% as that is what the sample result says. Now, you must what 54% of 250 is to find the number of grandparents who spend less than 2 hours. To do this, you make 54% a decimal and multiply it with 250. You do 0.54 x 250, which gives you exactly 135 grandparents who spend less than two hours online.
In the figure below ac=24 and bc=9 find ab
Answer:
AB=15
Step-by-step explanation:
By looking at the figure, you will find that AB = AC-BC. Use this equation to solve:
[tex]AB=AC-BC\\AB=24-9\\AB=15[/tex]
AB = AC - BC
AB = 24 - 9 = 15
Jessica bought 18 packs of cola. Each pack had 8 cans. She drank 6 of the cans. How many cans are left?
Answer:
multiple 18 x 8, then minus 6 from your answer
Answer:
1pack=6cans
18packs=x
=108canspacks=1xpack
Dividing both sides by 1 pack
X=108cans
What’s the correct answer for this
Inventory Heung-Soo is responsible for checking a shipment of technology equipment that contains laser printers that cost $700 each and color monitors that cost $200 each. He counts 30 boxes on the loading dock. The invoice states that the order totals $15,000. Write a system of two equations that represents the situation outlined above. How many laser printers and how many color monitors were delivered?
Answer:
P + M = 30
700P + 200M = 15000
Number of laser printers = 18
Number of color monitors = 12
Step-by-step explanation:
Let P = number of laser printers
Let M = number of color monitors
Given total number of boxes = 30
⇒ P + M = 30
Given:
$700 = cost of laser printer$200 = cost of color monitor$15000 = total cost of order⇒ 700P + 200M = 15000
Rewrite P + M = 30 to make P the subject:
⇒ P = 30 - M
Substitute into 700P + 200M = 15000 and solve for M:
⇒ 700(30 - M) + 200M = 15000
⇒ 21000 - 700M + 200M = 15000
⇒ 500M = 6000
⇒ M = 12
Substitute found value for M into P = 30 - M and solve for P:
⇒ P = 30 - 12 = 18
Please help 40 points
Show step by step
Sarah has two similar regular pyramids with pentagon-shaped bases. The smaller has a scale factor of 2:3 when compared to the larger. Only the smaller pyramid is shown.
She calculates the area of the base of the pyramid (through long, hard work) to be 220.22 square units. The height of the pyramid is 15 units. Now she needs to calculate the volume of the pyramid.
(a) Calculate the volume of the pyramid for Sarah.
(b) "Oh, no!" Sarah exclaims. "Now I have to go through all this hard work again to find the volume of the larger pyramid!" Does she? Explain.
(c) Calculate the volume of the larger pyramid for Sarah.
Answer:
a) The volume of the pyramid 440.44 cube units
(b) No she doesn't
(c) The volume of the larger pyramid is 1,486.485 cube units
Step-by-step explanation:
The given parameters are;
The scale factor of the pyramids, S.F. = 2:3
The base area of the small pyramid, = 110.11 square units
The height of the small pyramid, h₁ = 12 units
(a) The volume of a pyramid, V = (1/3) × Area of base × The height of the pyramid
Therefore;
The volume of the small pyramid, V₁ = (1/3) × 110.11 square units × 12 units
V₁ = 440.44 cube units
The volume of the small pyramid, V₁ = 440.44 cube units
(b) No she does not have to go through all the hard work again to find the volume of the larger pyramid
She only has to make use of the scale factor relationships of the two pyramid to calculate the volume of the larger pyramid
The volume scale factor = (The linear scale factor)³
(c) The linear scale factor of the pyramids = 2:3 = 2/3
Therefore;
The volume scale factor of the pyramids = (2/3)³ = 8/27
To find the volume of the larger pyramid, V₂, from the volume of the smaller pyramid, V₁, we multiply the volume of the smaller pyramid, V₁, by 27/8 as follows;
V₂ = V₁ × (27/8)
Therefore;
The volume of the larger pyramid, V₂ = 440.44 cube units × (27/8) = 1,486.485 cube units
The volume of the larger pyramid, V₂ = 1,486.485 cube units.
i need this answer quick pleasePeter bought 10 basketball, 20 baseballs, and 11 football at the sports store. The basketball cost $5.75 each, the baseballs cost $2.25 a piece, and the football was $5.00 each. How much money does he need to pay at the counter?
157.5
$5.75 x 10 = 57.5
$2.25 x 20 = 45
$5.00 x 11 = 55
then you add all them together and you get 157.5
An isosceles triangle has an angle that measures 90°. Which other angles could be in that isosceles triangle? Choose all that apply.
Answer:
Step-by-step explanation:
If one angle = 90 degrees, then the other 2 added together must also = 90.
There is only 1 answer to this, since the triangle is isosceles..
x + x = 90 Combine
2x = 90 Divide by 2
x = 90/2
x = 45
So both acute angles = 45 degrees.
3
С
2
In the similarity
transformation of AABC
to ADEF, AABC was dilated by
a scale factor of [?], reflected
across the [ ], and moved
through the translation [ ]
1
B
A
-2
-4
-10
O
1
2
3
5
4
6
+
m,
D
2
-3
F
B. 1/2
A. 2
C. 3
D. 1/3
In the similarity transformation of ABC to DEF, ABC was dilated by a scale factor of [2], reflected across the [x-axis], and moved through the translation [(x-5, y+1)]
How to complete the similarity transformation?From the figure, we can see that the side lengths of the triangle DEF are twice the side lengths of ABC
This means that ABC must be dilated by a scale factor of 2
Also, both triangles are on either sides of the x-axis.
This means that ABC must be reflected across the x-axis
Lastly, the triangle must be translated 5 units left and 1 unit up
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At the train station, the cost for parking is based on an hourly fee. Patrons that park for 2 hours or less are charged at the short term parking fee but patrons that park for more than 2 hours are charged at the long term parking fee. The parking cost can be modeled with the following piece-wise equation, where x represents the number of hours. f(x)={12x, x≤215x, x>2 How much would it cost to park at the train station for 7 hours? Enter your answer in the box.
Answer: 96
Step-by-step explanation:
Answer:
Here is the answer! The person above is correct! Thanks again! Hope you have a nice day! Really helpful for k12 students!
Step-by-step explanation:
100 POINTS!!! Which statement about rational numbers is correct?
Rational numbers have decimal expansions that are non-repeating.
Rational numbers have decimal expansions that repeat or terminate.
Rational numbers do not have decimal expansions.
Rational numbers only have decimal expansions that terminate.
Answer: Rational numbers have decimal expansions that repeat or terminate.
Step-by-step explanation:
The explanation of this is the non-terminating but repeating decimal expansion means that although the decimal representation has an infinite number of digits, there is a repetitive pattern to it. The rational number whose denominator is having a factor other than 2 or 5, will not have a terminating decimal number as the result.
Angle CED = 62 degrees
Answer:
This is what I worked out
