Answer:
Based on the argument behind the correctness of the assumption is impossible, so we rule that the assumption is correct, now is the answer
The second answer from above
Find the length of a diameter.
22 mm
A diameter of the circle is_____mm
Answer:
44 mm
Step-by-step explanation:
radius = 22 mm
diameter = 2 * radius = 44 mm
Find the slope of the line passing through the point (-6,8) and (-9,1)
Factor completely 3x^2 - 147
Answer:
3(x-7)(x+7)
Step-by-step explanation:
In order to completely factor, begin by factoring out the greatest common factor. Both terms are divisible by 3 so 3 is the greatest common factor. 3(x^2-49). In order to completely factor, recognize x^2-49 as the difference of squares. Factor that into 3(x+7)(x-7).
Answer:
3(x+7)(x-7)
Step-by-step explanation:
Hello!
We can start by taking out the coefficient of 3 by factoring it out.
Factor:
The process of removing a factor or coefficient by dividing it out from the expression.
Factor the expression:
Remove the coefficient of 3
3x² - 1473(x² - 49)Factor using the product rule: a² - b² = (a+b)(a-b)
3(x² - 49) = 3(x + 7)(x-7)There's your factored expression! 3(x+7)(x-7)
Add:
Help help help help
1350 + 238
To earn a B on his quiz, John needs to get between 80%-89% of the questions correct. There are 30 questions on the quiz. What is the least number of questions John needs to get correct for his grade to be a B
Answer:
24 he can get 24 at the very minimum
Step-by-step explanation:
The demand equation for a manufacturer's product is:
p = 50 x [tex](151 - q)^{0.02\sqrt{q+19} }[/tex]
(a) Find the value of dp/dq when 150 units are demanded.
(b) Using the result in part (a), determine the point elasticity of demand when 150 units are demanded. At this level, is demand elastic, inlastic, or of unit elasticity?
(c) Use the result in part (b) to approximate the price per unit it demand decreases from 150 to 140 units.
(d) If the current demand is 150 units, should the manufacturer increase or decrease price in order to increase revenue?
From the given price function, we have;
(a) [tex] \frac{dp}{dq} = - 13[/tex]
(b) The point elasticity of demand is 0.0256; inelastic demand
(c) $46.6
(d) Increase
How can the elasticity of demand be found?a. The given function is presented as follows;
[tex]p = 50 \times (151 - q) ^{0.02 \times \sqrt{q + 19} } [/tex]
Differentiating the above function with a graphing calculator and setting q = 150 gives;
[tex] \frac{dp}{dq} = - 13[/tex]
b. The point elasticity of demand is given by the formula;
[tex] e \: = \frac{dq}{dp} \times \frac{p}{q} [/tex]
When q = 150, we have;
P = 50
Which gives;
[tex]e \: = \frac{1}{13} \times \frac{50}{150} = 0.0256[/tex]
The point elasticity of demand, E = 0.0256
The demand is inelastic (less than 1) when the quantity demanded is 150 unitsc. If the quantity demanded decreases from 150 to 140 units, we have;
[tex]0.0256 \: = \frac{1}{13} \times \frac{p}{140} = [/tex]
Which gives;
p = 46.6
The price when the quantity demanded decreases to 140 is $46.6d. Given that increase in price, from 46.6 to 50, increases the quantity demanded from 140 to 150, therefore;
The manufacturer should increase the price, p to increase the revenue, R.R = p × q
Learn more about elasticity of demand here;
https://brainly.com/question/19141990
3. The object has the shape of a rectangular prism, but part of a face is missing.
Find the surface area of the object and show your work.
a)
Find the surface area of the complete prism.
5 cm
30 cm
20 cm
10 cm
15 cm
I need an answer
A dinner plate has a circumference of 113.04 cm. What is the area of the dinner plate? (Use 3.14 for .)
A.
226.08 cm2
B.
2,034.72 cm2
C.
1,017.36 cm2
D.
56.52 cm2
option C
hope it helps...!!!
Answer:
[tex]\fbox{Area = 1017.36 sq.cm.}[/tex]
Step-by-step explanation:
Given:
circumference of circular dinner plate= 113.04 cm
To find:
Area of dinner plate = ?
Solution:
circumference = 113.04 cm.
we know that circumference = 2πr
[tex]2 \pi r = 113.04 \: cm \\ r = \frac{113.04 }{2 \pi} \\ r = \frac{113.04 }{2 \times 3.14} \\r = \frac{113.04 }{6.28} \\ \fbox{r = 18 \: cm}[/tex]
We know that,
Area of circle = πr²
now substituting value of r in above formula,
[tex] \pi {r}^{2} = 3.14 \times 18 \times 18 = 1017.36 \: {cm}^{2} [/tex]
[tex] \fbox{Area = 1017.36 sq.cm.}[/tex]
Thanks for joining brainly community!
Knowledge Check Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 4.5 ft to 2 ft
Answer:
Step-by-step explanation:
4.5 ÷ 2
[tex]\frac{9}{2}[/tex] ÷ 2
[tex]\frac{9}{2} * \frac{1}{2}[/tex]
9 / 4
What is the area of the figure?
Answer:
58.5 ft²
Step-by-step explanation:
The figure is made up of a square, triangle and rectangle. Thus, the area of the figure is the sum of the areas of the square, triangle and rectangle.
Let's find the area of each!
Square
Area of square= side ×side
Area
= 3(3)
= 9 ft²
Triangle
Area of triangle= ½ ×base ×height
Base= 11 ft
Height= 3 ft
Area
= ½(11)(3)
= 16.5 ft²
Rectangle
Area of rectangle= length ×breadth
Area
= 3(11)
= 33 ft²
Area of figure
= 9 +16.5 +33
= [tex]\textcolor{red}{58.5 \: {\text{ft}} {}^{2} }[/tex]
in november 1958 the cover scientific american showed this diagram on its cover. Each of the interior rectangles is a square. if square D is 81 spuare units and square c is 64 square units what is the area of the other seven squares? what is the area of the of the entire figure? what is the perimeter of the figure
From the 32 by 33 rectangular figure, having interior squares, we have
The area of the squares in square units are;
A = 324 B = 225E = 100F = 196G = 16H = 49I = 1Area of the entire figure = 1056The perimeter of the figure = 130 unitsHow can the area and perimeter be found?The areas in square units are;
Area of square A = 18 × 18 = 324
Area of square B = 15 × 15 = 225
Area of square E = 10 × 10 = 100
Area of square F = 14 × 14 = 196
Area of square G = 4 × 4 = 16
Area of square H = 7 × 7 = 49
Area of square I = 1 × 1 = 1
Area of a rectangle = Length × Breadth
Therefore;
Area of the entire figure = 32 × 33 = 1056
Area of the entire figure = 1056 square unitsThe perimeter, P, of the rectangular figure is therefore;
P = 2 × 32 + 2 × 33 = 130
The perimeter of the figure = 130 unitsLearn more about finding the area of plane figures here;
https://brainly.com/question/2669479
Today Zack sold twice as many bags of popcorn at the ball game as he sold last Saturday. In the 2 days he sold a total of 96 bags. Write a system of equations to determine s, the number of bags Zack sold last Saturday, and t, the number of bags he sold today?
Answer:
[tex]s=32\\t=64[/tex]
Zack sold 32 bags of popcorn last Saturday, and 64 bags of popcorn today.
Step-by-step explanation:
Start by determining what information the question gives us, and what we need to find.
Given:
Zack sold twice as many bags of popcorn as he sold last Saturday
He sold 96 bags altogether in the 2 days
Find:
s, number of bags he sold last Saturday
t, number of bags he sold today
Equation/System of Equations:
[tex]t=2s[/tex] (OR "number of bags he sold today = number of bags he sold last Saturday multiplied by 2, or twice the amount he sold last Saturday)
[tex]t+s=96[/tex] (OR "number of bags he sold today + number of bags he sold last Saturday is equivalent to the amount of bag he sold altogether which is 96 bags as given by the question)
Solve:
We can solve this system of equations using substitution. In this case, we can substitute "2s" for "t" into the second equation giving us...
[tex]2s+s=96\\3s=96[/tex]
Divide both sides by 3. Notice that the Division Property of Equality states that if you divide on side of the equation by something, you must divide the other side by the same quantity.
[tex]s=\frac{96}{3}\\s=32[/tex]
Substitute 32 in for "s" to solve for "t"...
[tex]t=2s\\t=2(32)\\t=64[/tex]
Answer:
Zack sold 32 bags of popcorn last Saturday, and 64 bags of popcorn today.
Frankie is saving up to have spending money for her family vacation. If Frankie's current monthly net pay is $490.00 and her monthly expenses are $396.90 what percent of her net pay is left for savings?
19%
23%
67%
81%
please help: perimeter of polygon ABCDEF
Answer:
Step-by-step explanation:
A washer and dryer cost a total of $1280. The cost of the washer is three times the cost of the dryer. Find the cost of each item. Cost of washer: $ Cost of dryer: $
Answer:
Dryer = 320
Washer = 960
Step-by-step explanation:
Washer + Dryer = 1280
Let,
Dryer = x
Washer = 3x
3x + x = 1280
4x = 1280
x = 320
Washer = 3x = 3(320)=960
960 + 320 = 1280
Thus,
Dryer = 320
Washer = 960
~lenvy~
Suppose that y varies inversely with x. Write a function that models the inverse function.
x = 6 when y = 8
[tex] \qquad \qquad \huge\text{Anѕwer}♨[/tex]
Let's Solve ~❖ Aѕ givєn in thє quєѕtiσn, ч vαriєѕ invєrѕєlч with х, thiѕ єхprєѕѕiσn cαn вє rєprєѕєntєd αѕ :
[tex] \qquad \Rrightarrow \rm y \propto \dfrac{1}{x} [/tex]
➻ To rєplαcє prσpσrtiσnαlitч ѕign with єquαlѕ tσ, wє hαvє tσ uѕє α cσnѕtαnt (k)
[tex] \qquad \Rrightarrow \rm y = k \times\dfrac{1}{x} [/tex]
[tex] \qquad \Rrightarrow \rm \dfrac{}{} xy = k[/tex]
➻ nσw, plug in vhє vαluєѕ σf х αnd ч fσr α ѕpєcific inѕtαnt, thαt'ѕ givєn in thє quєѕtiσn ~
х = 6, whєn ч = 8[tex] \qquad \Rrightarrow \rm \dfrac{}{} 6 \times 8 = k[/tex]
[tex] \qquad \Rrightarrow \rm \dfrac{}{} k = 48[/tex]
thєrєfσrє, vαluє σf prσpσrtiσnαlч cσnѕtαnt iѕ 48
➼ ѕσ, thє rєquirєd єхprєѕѕiσn will вє :
[tex] \qquad \Rrightarrow \rm \dfrac{}{} xy = 48[/tex]
Solve the problem 4747+38383
4747+38383=43,130
Answer:
4747
+38383
=43130 that is my answer
2x-7/2 = x+3/3 please help me
Answer:
x=4.5
Step-by-step explanation:
2x− 7/2 =x+1
2x− 7/2- x=1
x-7/2=1
x= 1+7/2
x=2/2+7/2
x= 2+7 is numerator and 2 is the denominator
x= 9/2
9/2 = 4.5
7)
20 cm
12 cm
14 cm
Find the area of the gray shaded region in the figure.
A)
84 cm?
B)
112 cm?
196 cm
行
Ε
D)
280 cm?
Answer:
where is the figure
pls send it
1 ll cm 5 cm 5 cm Surface area
Answer:
pls send the image along with it. So it can be solved
please help i'm asking to help the second time hope someone sees this I'll give 10 points and brainliest I promise
2. i) 1/2 × x
x/2
ii) 1/5 × x
x/5
iii)1-(1/2+1/5)
1- (5/10+2/10)
10/10- 7/10
3/10
3/10×x
3x/10
3. i)15× $p
15p
ii) cost for 4 bananas= $g
cost for 1 banana = $g÷4
cost for 16 bananas = $g/4 ×16
=$g×4
=4g
iii)
Cost for an orange= $p
Cost for 5 oranges = 5×$p
Cost for 1 banana= $g÷4
Cost for 2 bananas = 2× ($g÷4)
Add both of the expressions to get the total cost for 2 bananas and 5 oranges.
(2×$g÷4)+(5×$p)
($g×2/4)+(5×$p)
2/4 can be simplified as 1/2
g×1/2+5p
(g/2)+5p
Hope this helps!
A high-altitude spherical weather balloon expands as it rises due to the drop in atmospheric pressure. Suppose that the radius r increases at the rate of 0.03 inches per second and that r=48 inches at time t=0. Determine a function that models the volume V of the balloon at time t and find the volume at t=300 seconds.
Considering a linear function for the radius, we have that:
The volume of the sphere is modeled by [tex]V(t) = \frac{4\pi(0.03t + 48)^3}{3}[/tex].After 300 seconds, it is of 775,735 in³.What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.What is the volume of a sphere?The volume of a sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
In this problem, radius r increases at the rate of 0.03 inches per second and that r=48, hence it is represented by the following linear function:
[tex]r(t) = 0.03t + 48[/tex]
Thus, the volume of the sphere is given by:
[tex]V = \frac{4\pi r(t)^3}{3}[/tex]
[tex]V(t) = \frac{4\pi(0.03t + 48)^3}{3}[/tex]
After 300 seconds, the volume in cubic inches is given by:
[tex]V(300) = \frac{4\pi(0.03(300) + 48)^3}{3} = 775735[/tex]
More can be learned about linear functions at https://brainly.com/question/24808124
Nine people were asked, "How many times have you been on an airplane?" Their responses are listed below. 6,9,1,19,1,6,8,1 find the range and the mode for the data
pleaseeee helpppp
Step-by-step explanation: Range is where you put the numbers from greatest to least, I believe you can also do least to greatest. Mode is whenever you have your numbers in order form greatest to least the number that shows up the most is the mode. HOPE THIS HELPED !!!
There are two numbers. The smaller number is 32 less than the larger number. If the larger number is increased by 10, it will be 4 times that of the smaller number. Find the larger number.
Step-by-step explanation:
Let the larger no be = a
Difference of the numbers = a - 32
As per the question;
(a + 32) = 5(a - 32)
⇒ a + 32 = 5a - 160
⇒ 128 = 4a
⇒ a = 32
∴ The larger no is 32.
What number (X) comes next in the series (17, 9, 18, 7, 19, 5, 20, X)
3
4
16
21
23
Answer:
17, 9, 18, 7, 19, 5, 20, X
Bold: 17, 18, 19, 20, .....
Other: 9, 7, 5, 3, 1 ....
I think the answer is 3
By finding the pattern, we conclude that the next number in the sequence is 3.
What number comes next in the series?
We have the sequence:
17, 9, 18, 7, 19, 5, 20, x.
Here the pattern is kinda simple.
First, we have a two-digit number which increases by one unit (on the odd positions). Then we have a single-digit number that decreases by two (on the even positions).
Then we will have:
x = 5 - 2 = 3
We conclude that the next number in the sequence is 3, we get:
17, 9, 18, 7, 19, 5, 20, 3.
If you want to learn more about sequences:
https://brainly.com/question/6561461
#SPJ2
Mrs. Williams' desk is located at (-5,2). The wireless internet box is halfway between her desk and the door. If the box is located at the coordinates (8, -8), what are the coordinates of the door?
Topic : Midpoint between points
desk = (-5,2)box = (8, -8)door = (x, y)formula:
[tex]\sf \bold{(x_m, y_m) = (\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})}[/tex]
=====================================
[tex]\hookrightarrow \sf \dfrac{x+(-5)}{2} ,\dfrac{y+2}{2} = (8, -8)[/tex]
separate taking coefficients:
[tex]\rightarrow \sf \dfrac{x-5}{2} =8, \ \dfrac{y+2}{2} = -8[/tex]
[tex]\rightarrow \sf x-5 =16, \ y+2 = -16[/tex]
[tex]\rightarrow \sf x =16+5, \ y= -16-2[/tex]
[tex]\rightarrow \sf x =21, \ y= -18[/tex]
coordinates of door: (21, -18)
Let that be (x,y)
So
[tex]\\ \rm\rightarrowtail (8,-8)=(\dfrac{x-5}{2},\dfrac{y+2}{2})[/tex]
[tex]\\ \rm\rightarrowtail \cfrac{x-5}{2}=8\implies x-5=16\implies x=21[/tex]
[tex]\\ \rm\rightarrowtail \cfrac{y+2}{2}=-8\implies y+2=-16\implies y=-18[/tex]
(x,y)=(21,-18)How do I do this this folks?
for the answer most likey it would be from the range of 88 to 66 that would make a little sence corecct me if im wrong
Step-by-step explanation:
f(x) = 2 + 3x – 2x²
Determine a, b and c
Answer:
a = -2
b =3
c =2
Step-by-step explanation:
f(x) = 2 + 3x – 2x²
Rewrite in descending powers of x
-2x^2 +3x+2
The form is ax^2 +bx +c
a = -2
b =3
c =2
write 14,689 in word form what is the answer like identify the thousand group and the ones group
Answer:
fourteen thousand six hundred and eighty nine
Step-by-step explanation:
1 is in the ten thousand group, four is in the thousands, six is in the hundreds, eight is in the tens, nine is in the ones. i hope this helped :)
Answer:
Fourteen-thousand and six-hundred eighty nine.
Mario loaned Robert $390 at an interest rate of 18% for 229 days. How much will Robert pay Mario at the end of 229 days? Round your answer to the nearest cent.
Answer:
Amount Robert will pay back = $434.04
Step-by-step explanation:
Formula for interest is;
I = (P * R * T)/100
We are given;
P = $390
Rate = 18%
Time; T = 229 days = 229/365
Thus;
I = (390 * 18 * (229/365))/100
I = $44.04
Thus, total amount Mario will pay back = $390 + $44.04 = $434.04