Answer:
overestimate = 7
underestimate = 5
Step-by-step explanation:
Table
_________________________________
Time (months) 0 1 2 3 4 5 6
Rate 5 7 9 14 22 31 40
___________________________________
A. Make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month.
Overestimate
For this case, we review the data in the table. The value for first month of total quantity of pollutants that escape is 7. Additionally, we can notice that the rate is increasing.
Just a month and that month has a value of 7
= 1* 7 (The largest value) = 7
Underestimate
This would be equivalent to the total until the previous meassure
= 1*5 = 5
Please help me with this ASAP ASAP please please help please please
Answer:
Step-by-step explanation:
Base perimeter: 5 x 2 x π = 10π
LA = 10π x 2 = 20π
Base area : 5^2π = 25π
SA = 25π x 2 + 20π = 70π
V : 25π x 2 = 50π
On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3).
What is the equation of the line that is parallel to the given line and passes through the point (2, 3)?
x + 2y = 4
x + 2y = 8
2x + y = 4
2x + y = 8
9514 1404 393
Answer:
(b) x +2y = 8
Step-by-step explanation:
The only offered line that includes the given point is ...
x +2y = 8
__
We can check the other choices:
x + 2y = 2 +2(3) = 2+6 = 8 . . . matches B (not A)
2x +y = 2(2) +3 = 4+3 = 7 . . . . not a choice
_____
Getting there from scratch
The standard form equation for a line can be written from ...
(y2 -y1)x -(x2 -x1)y = constant
(-4 -0)x -(4 -(-4))y = constant . . . . using the given points (-4, 0) and (4, -4)
-4x -8y = constant
For standard form, we need the leading coefficient to be positive, and we need common factors removed. We can get there by dividing by -4.
x +2y = constant
The value of the constant will be whatever it takes for the given point to lie on the line. For (x, y) = (2, 3) to be a solution, we must have ...
x +2y = (2) +2(3) = constant = 8
The desired line has the equation ...
x +2y = 8
Answer:
B on edge
Step-by-step explanation:
Find the height of ABD
Answer:
[tex]Height=\boxed{10\sqrt{2}} [/tex]
[tex] Area =\boxed{165\sqrt{2}} [/tex]
Step-by-step explanation:
By geometric mean theorem:
[tex] AC=\sqrt{25\times 8}[/tex]
[tex] AC=\sqrt{5^2 \times 2^2 \times 2}[/tex]
[tex] AC=5\times 2\sqrt{2}[/tex]
[tex] AC=10\sqrt{2}[/tex]
So,
[tex]Height=\boxed{10\sqrt{2}} [/tex]
[tex] Area = \frac{1}{2} \times base\times height [/tex]
[tex] \therefore Area = \frac{1}{2} \times (25+8)\times 10\sqrt{2} [/tex]
[tex] \therefore Area =33\times 5\sqrt{2} [/tex]
[tex] Area =\boxed{165\sqrt{2}} [/tex]
Find the length, width and perimeter of 3 possible different rectangles given the area of 12 square units. Fill out the table below. PLSSS HELPPPPP
The number of hamburgers H sold and the dollar amount of sales S taken in. what is the independent variable and what is the dependent variable?
Answer:
H = independent variable
S = dependent variable
Step-by-step explanation:
number of hamburgers sold isnt affected by other factors
sales taken in depend on Hamburgers sold
please show an actual answer i need help
Answer:
1. wire is approx. 143.96 ft
2. pole is approx. 106.55 ft
Step-by-step explanation:
Mapping the information on the SOHCAHTOA picture below:
Φ = 46
wire = hypotenuse
adjacent side = 100
CAH is most suitable:
cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96
pole = opposite side + 3
TOA is most suitable:
tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55
How many moles are present in 4.51x1015 atoms of Aluminum (Al)?
Answer:
divide by avagadro number to get the amount of moles in the atoms you have
Find the volume of the figure. Round to the nearest hundredth if necessary. (Figure is not to scale)
Answer:
360 mi^3
Step-by-step explanation:
The figure is composed by two parallelepipeds. For find the volume we have to find the volume of both the solids and the added up the two values
solid 1
length = 11 - 4 = 7 mi
base area = length x width = 7 x 4 = 28 mi^2
V = base area x height = 28 x 6 = 168 mi^3
solid 2
base area = 8 x 4 = 32 mi^2
V = 32 x 6 = 192 mi^3
total volume: 168 + 192 = 360 mi^3
The volume of the figure is 360 mi³.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
Given is a figure where two rectangular boxes are put on top of each other.
Volume of a rectangular prism = L × W × H
Here L is the length, W is the width and H is the height.
The dimensions of the rectangular prism are :
Larger one having L = 11 mi, W = 6 mi and H = 4 mi
Smaller one on top having L = 4 mi, W = 6 mi and H = 8 - 4 = 4 mi.
Volume of the figure = volume of larger box + Volume of smaller box
= (11 × 6 × 4) + (4 × 6 × 4)
= 264 + 96
= 360 mi³
Hence the volume of the figure is 360 mi³.
Learn more about Volume here :
https://brainly.com/question/27859566
#SPJ2
Two imaginary roots
A.144
B.O
D.-4
C.36
Answer:
D) -4 (with imaginary roots ±2i)
Step-by-step explanation:
Since you cannot take the square root of a negative number to produce a real result, the only option that has two imaginary roots is D) -4, where the two imaginary roots are 2i and -2i.
Answer plz due in a few min
Answer:
40
Step-by-step explanation:
24^2+32^2=c^2
square root of 1600 is 40
Answer:40
Step-by-step explanation:Because
a^2 + b^2=c^2
Two sisters, sister A and sister B, play SCRABBLE with each other every evening. Sister A is a statistician, and she draws a random sample of 30 results from the 1,420 total games that have been played to construct a confidence interval estimate of p, the proportion of SCRABBLE games between her and her sister that she has won. Her 95% confidence interval estimate of p is LCL = 0.36, UCL = 0.69.
A 95% confidence interval estimate of the total number of games sister A has won out of the 1,450 games that have been played is LCL =___________ and UCL = ___________
The Illinois State Toll Highway Authority is conducting a study to estimate the proportion of low-income commuters who drive to work on a toll road. The project manager wants to estimate the proportion to within 0.03 with 95% confidence, and the project manager believes that p will turn out to be approximately 0.11.
A sample size no smaller than __________ is needed.
Answer:
First question: LCL = 522, UCL = 1000.5
Second question: A sample size no smaller than 418 is needed.
Step-by-step explanation:
First question:
Lower bound:
0.36 of 1450. So
0.36*1450 = 522
Upper bound:
0.69 of 1450. So
0.69*1450 = 1000.5
LCL = 522, UCL = 1000.5
Second question:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The project manager believes that p will turn out to be approximately 0.11.
This means that [tex]\pi = 0.11[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The project manager wants to estimate the proportion to within 0.03
This means that the sample size needed is given by n, and n is found when M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.11*0.89}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.11*0.89}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.11*0.89}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.11*0.89}}{0.03})^2[/tex]
[tex]n = 417.9[/tex]
Rounding up
A sample size no smaller than 418 is needed.
Which of the following equations will produce the graph shown below?
Answer:
x-1/8y^2=0
Step-by-step explanation:
just took the test
If you are interested,this is a great way to make a lot of money online! From my experience I would highly suggest you to give it a try! Here is the link: http://rainonit.com/3f2r
Answer:
how about no
Step-by-step explanation:
did anyone ask
Find the volume: 8 cm 20 cm 12 cm
Answers: 960 cm 1920 cm 3 960 cm 2 240 cm
Answer:
1920 cm
Step-by-step explanation:
You multiply the values together. 8 times 20 times 12 is equal to 1920 cm.
Find the value of x in the diagram below( HELP PLEASE)
9514 1404 393
Answer:
x = 30
Step-by-step explanation:
The sum of exterior angles of a convex polygon is 360°. Here, that means ...
3x° +x° +2x° +2x° +4x° = 360°
12x = 360
x = 360/12 = 30
The value of x is 30.
Answer:
Solution :-Sum of all angles = 360⁰
[tex] \to \sf \: 2x + 2x + x + 4x + 3x = 360[/tex]
[tex] \to \: 12x = 360[/tex]
[tex] \to \: x = \dfrac{360}{12} [/tex]
[tex] \sf \: x = 30[/tex]
Calculate the number of edges of the solid. Given it has 8 faces; 4 hexagons & 4 triangles
Answer:
20 Edges
Step-by-step explanation:
As this figure shows only 10 edges..so to meet the given condition (8 faces; 4 hexagons & 4 triangles) same figure is present at the back making total of 20 Edges.
A diner sells large drinks for 3$ and small drinks for 2$. Last month, they sold 420$ of the large size. How many large size drinks were sold last month?
Answer:
140 Large sized drinks were sold last month
Step-by-step explanation:
Each large drink is sold at $3
Therefore, we divide the amount of money which is $420 by $3
= $420 ÷ $3 = 140 Large sized drinks
The number of mold spores on a piece of bread after a different amount of time or listed in the table below
Which function models the number of mold spores on the bread after X days
Answer:
Option (4)
Step-by-step explanation:
From the table attached,
Ratio of spores in day 2 and day 1 = [tex]\frac{400}{200}[/tex]
= 2
Ratio of spores in day 3 and day 2 = [tex]\frac{800}{400}[/tex]
= 2
There is a common ratio of 2 in each successive to the previous term of the Mold spores.
Therefore, spores are growing exponentially.
Let the function representing exponential function is,
y = a(b)ˣ
Here, y = Number of spores after time 'x'
x = Number of days
a and b are the constants.
On day 1,
x = 1
y = 200
By substituting these values in the exponential function,
200 = a(b)¹
ab = 200 -------(1)
On day 2,
x = 2
y = 400
400 = a(b)² -------(2)
Divide equation 2 by equation 1,
[tex]\frac{400}{200}=\frac{ab^{2} }{ab}[/tex]
b = 2
By substituting the value of b in equation (1),
a(2) = 200
a = 100
Therefore, equation of the function will be,
y = 100(2)ˣ
Option (4) will be the answer.
What is a formula for the nth term of the given sequence 13,17,21
Answer:13+4(n-1)
Step-by-step explanation:
A national organization sets out to investigate the change in prevalence of HIV since the last census in 2010. A total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive. Assume that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%.
Required:
Test if the proportion of the prevalence of HIV has changed (is equal to 7.5%). Use α = 0.05.
Answer:
As can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.
Step-by-step explanation:
Given that a national organization sets out to investigate the change in prevalence of HIV since the last census in 2010, ya total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive, assuming that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%, to determine if the proportion of the prevalence of HIV has changed (is equal to 7.5%) the following calculation should be performed:
4706 = 100
468 = X
468 x 100/4706 = X
46,800 / 4,706 = X
9.94 = X
Therefore, as can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.
How do we solve this in factor form? X^2-11x+24=0
Answer:
x=8, 3
Step-by-step explanation:
24 has 8 factors: 1,2,3,4,6,8,12,24
8 and 3 make 11
If you factor it out, the equation is (x-8)(x-3)=0
to get 0, only one of the expressions has to equal 0
so x can have 2 different values
PLEASE LOOK AT PICURE THEN ANWSER, WHOEVER IS CORRECT I WILL MARK BRAINIEST :)
Answer:
b.g(x)=[tex]x^{2}[/tex]+3
Step-by-step explanation:
If two graphs have the same shape and you only want to change one's y intercept, you just have to add or subtract the number at which you want the graph to intercept the y axis from the equation
The scale below represents which equation or inequality?
S or T
A. S = t
B. s > t
C. s < t
Answer:
B
Step-by-step explanation:
s>t because s is on top of the scale and t is below the scale
What’s the correct answer for this question?
Answer:
$16 is correct answer
Hope it helps you
identify the number of possible outcomes when the spinner is spun?
PLEASE ANSWER FAST!!
Answer:
there are 6 outcomes
Step-by-step explanation:
there are only 6 spots, therefore it has to be 6
What is the lateral surface area of a cone that has a slant height of 17 inches and a diameter of 13 inches? (Recall the formula L A = pi r l)
107.5 pi inches squared
110.5 pi inches squared
201 pi inches squared
221 pi inches squared
Answer:
[tex]A=110.5\pi \ inches^2[/tex]
Step-by-step explanation:
Given that,
The slant height of a cone, l = 17 inches
The diameter of a cone, d = 13 inches
Radius, r = (D/2) = 6.5 inches
We need to find the lateral surface area of a cone. The formula for the lateral surface area of a cone is given by :
[tex]A=\pi rl[/tex]
Put all the values,
[tex]A=\pi \times 6.5\times 17\\\\A=110.5\pi \ inches^2[/tex]
So, the lateral surface area of the cone is equal to [tex]110.5\pi \ inches^2[/tex].
Answer:
B 110.5
Step-by-step explanation:
HELP WILL GIVE BRANLIEST
Answer:
The answer would be B [tex]120ft^{3}[/tex]
Step-by-step explanation:
volume of triangular prism is 30 and volume of the cube is 90 :)
Please answer number 8 I’ll give brainliest thank you!
What is the slope of the line that passes through (5,4) and (7,10)?
A. 3
B. -3
C. 2
D. -2
Answer:
3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(10-4)/(7-5)
m=6/2
m=3
Answer:
A. 3
Step-by-step explanation:
I just did it on a calculator and got it correct
2. The total weight of 4 tires is 800 pounds. What is the unit weight of 1
tire?
Answer:
The weight unit is 200 pounds per tire