Answers
Answer:
C.
Step-by-step explanation:
Volume of a Sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Where volume of sphere = 81 π cm³
So, the equation becomes
81 π = [tex]\frac{4}{3} \pi r^3[/tex]
Answer:
the correct answer is the third row.
Step-by-step explanation
Related Questions
Elizabeth lives in San Francisco and works in Mountain View. In the morning, she has 3 transportation options (take a bus, a cab, or a train) to work, and in the evening she has the same 3 choices for her trip home.
If Elizabeth randomly chooses her ride in the morning and in the evening, what is the probability that she'll use a cab exactly one time?
Answers
Answer:
4/9
Step-by-step explanation:
The possibilities of transportation: (The first will be for morning, second will be for afternoon)
B, B
B, C
B, T
C, B
C, C
C, T
T, B
T, C
T, T
It is clearly seen that there are 9 transportation options.
(Using cab 1 time we have BC, CB, CT, TC. So four of the transportation methods use cab one time.)
Therefore, the probability that she will use a cab only once is 4/9.
The scatter plot shows the number of oranges picked, in hundreds, in relation to the number of lemons harvested, in hundreds, by several farms.
Answers
Complete Question:
The scatter plot shows the number of oranges picked, in hundreds, in relation to the number of lemons harvested, in hundreds, by several farmers.
According to the plot, which value is the best estimate of the correlation coefficient of the data?
A. -0.2 B. -0.9 C. 0.9 D. 0.2
*See attachment for the scatter plot.
Answer:
C. 0.9
Step-by-step explanation:
The scatter plot given in the graph attached shows a relation between oranges picked and the number of lemon that is harvested as the line slopes in an upward direction. This suggest a positive correlation coefficient, because as the variable on the Y-axis increases, the variable on the X-axis also increases in the same direction. Hence, our correlation coefficient would be a positive value.
Also, the correlation coefficient would be close to 1, because the points on the scatter plot seem clustered and aligned along the line slope.
Therefore, the best estimated value for the correlation coefficient would be C. 0.9.
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 1)B(5, 1),C(5, 6), and D(2, 6). Given these coordinates, what is the length of side AB of this rectangle?
Answers
Answer:
The legnth of side AB would be 3 units
Step-by-step explanation:
First, you would determine that both point A and point B would have the same y-coordinate of 1. Then you would determine the difference between the x values of points A and B. Since 5 (the x-value for B) minus 2 (the x-value for A) is 3, the legnth of side AB would be 3 units.
Step-by-step explanation:
I recommend using Desmos to quickly graph things (it's much faster than doing it yourself, I use it often. You can graph points and everything).
The picture ends up looking like the attachment I have below.
This is now a simple subtraction.
A is at 2 on the x-axis and B is at 5.
5-2=3
Answer:
3 units
find the value of each trigonometric ratio. Part 1
Answers
Answer: [tex]\bold{2)\ sin\ C=\dfrac{20}{29}\qquad 3)\ tan\ A=\dfrac{8}{15}\qquad 4)\ tan\ Z=\dfrac{4}{3}}[/tex]
Step-by-step explanation:
[tex]2) \sin C=\dfrac{\text{side opposite of}\ \angle C}{\text{hypotenuse of triangle}}=\large\boxed{\dfrac{20}{29}}\\\\\\3) \tan A=\dfrac{\text{side opposite of}\ \angle A}{\text{side adjacent to}\ \angle A}=\large\boxed{\dfrac{8}{15}}\\\\\\4) \tan Z=\dfrac{\text{side opposite of}\ \angle Z}{\text{side adjacent to}\ \angle Z}=\dfrac{40}{30}\quad \rightarrow \large\boxed{\dfrac{4}{3}}[/tex]
Which number line represents the solution set for the inequality 2x - 62 6(x - 2) + 8?
-15
-0.5
0
0.5
1
1.5
-1.5
-1
-0.5
0
0.5
1.5
-1.5
-1
-0.5
0
0.5
1.5
-1.5
-1.5
0
0.5
1
1.5
Answers
Answer:
2x - 6 ≥ 6(x-2) + 8
2x - 6 ≥ 6x - 12 + 8
6x - 2x ≤ - 6 + 4
4x ≤ -2
4x/4 ≤ -2/4
x ≤ -1/2
Interval Notation: (- ∞, -1/2]
The line starts from -1/2 with the arrow going to the left (decreasing). The endpoint or value from where it started, which is -1/2, should be shaded. The inequality symbol x ≤ -1/2 represents the values at most or maximum -1/2.
Step-by-step explanation:
The number line representing the solution set for the inequality given is option C.
The inequality is 2x - 6 ≥ 6(x-2) + 8,
Solving for x,
2x - 6 ≥ 6(x-2) + 8
2x - 6 ≥ 6x - 12 + 8
6x - 2x ≤ - 6 + 4
4x ≤ -2
4x/4 ≤ -2/4
x ≤ -1/2
Therefore, the Interval Notation is (- ∞, -1/2]
This means that the all the values of x will be less than -1/2 or equal to it,
Therefore, the graph will be, the line starts from -1/2 with the arrow going to the left (decreasing).
Learn more about inequality, click;
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The graph shows the relationship between daily caffeine
consumption and resting heart rate for some adults.
Which phrases describe the relationship between heart
rate and daily intake of caffeine? Select two options.
Effects of Caffeine
negative correlation
180
increasing heart rate
constant correlation
Resting Heart Rate (bpm
positive correlation
decreasing heart rate
1 2 3 4 5 6 7 8 9 10
Total Coffee Intake (Cups)
Answers
Answer:
A and B. increasing heart rate and positive correlation
Step-by-step explanation:
The heart rate increases as they drink more cups of coffee and because the both sets of data are increasing in the same direction, it's positive correlation.
Hope my answer helps and isn't too short <3
Answer: B AND D
Step-by-step explanation:
+18 pts
An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and located directly above a tower (T). The observer also notices a bird (B) circling directly above her. If the distance from the plane(P) to the tower (T) is 7,000 feet, how far is the bird (B) from the plane (P)? Round to the nearest whole number.
Help please !
Answers
Find attached to this answer, the appropriate diagram that would help us better understand the question
Answer:
10779 feet
Step-by-step explanation:
We would be using the Trigonometric function called Tangent to solve this question.
tan θ = Opposite side / Adjacent side
From the attached diagram,
θ = 33°
Opposite side = 7000 feet
Adjacent side = the distance of bird (B) from the plane (P) = unknown
tan 33° = 7000 feet / Adjacent side
Cross multiply
tan 33° × Adjacent side = 7000 feet
divide both sides by tan 33°
Adjacent side = 7000 feet / tan 33°
Adjacent side = 10779.054747 feet.
Approximately = 10779 feet.
Therefore, the distance of bird (B) from the plane (P) to the nearest whole number is 10779 feet.
A runner moves west with an initial velocity of 4 m/s. She accelerates 3 m/s2 for 30 seconds. The runner’s final velocity is m/s.
Answers
Answer:94m/s
Step-by-step explanation:
Using the formula:
v=u+at
Where v= final velocity (the unknown)
u= initial velocity (4m/s)
a= acceleration (3m/s)
t= time (30seconds)
v=4+(3*30)
= 4+90
= 94m/s
solve the following equation 2x-7/4=x+3/3
Answers
Answer:
x=11/4
Step-by-step explanation:
2x-7/4=x+3/3
2x-7/4=x+1
-x -x
x-7/4=1
+7/4 +7/4
x=11/4
Select all the equations where y=10equals, is a solution.
Choose 2 answers:
A
y+11=22
B
8=18-y
C
60=6y
D
y/5=4
E
10y=20
Answers
Answer:
B and C
Step-by-step explanation:
A. y + 11 = 22 → subtract 11 from both sides:
y = 11
---------------------------------------------------------------------------
B. 8 = 18 - y → subtract 18 from both sides:
-10 = -y → divide both sides by -1:
10 = y
----------------------------------------------------------------------------
C. 60 = 6y → divide both sides by 6:
10 = y
-----------------------------------------------------------------------------
D. [tex]\frac{y}{5}[/tex] = 4 → multiply both sides by 5:
y = 20
-----------------------------------------------------------------------------
E. 10y = 20 → divide both sides by 10:
y = 2
Gordon and Malachy win some money and share it in the ratio 6:1. Gordon gets £25 more than Malachy. How much did they get altogether?
Answers
Answer:
£ 35
Step-by-step explanation:
Ratio = 6 : 1
Gordon's share = 6x
Malachy's share = x
6x - x = 25
5x = 25
x = 25/5
x = 5
Gordon's share = 6x = 6*5 = 30
Malachy's share = x = 5
Total money they get = 30 + 5 = £35
no solution for 6x-3x+4-2x
Answers
Answer:
4+x
Step-by-step explanation:
you combine your like terms so you take 6x-3x and you end up with 3x than you take that 3x and subtract the 2x from it so you are left with just x so that would be 4+x
What force is exerted on a test charge of 3.25 E−5 C, if it is placed in an electric field of magnitude 1.40 E4 N/C? Remember to identify all data (givens and unknowns), list equations used, show all your work, and include units and the proper number of significant digits to receive full credit.
Answers
Answer:
0.46 newtons
Step-by-step explanation:
For these kinds of problems, you can employ the formula
[tex]E=\dfrac{F}{q}[/tex]
where E represents the field in N/C, F represents the force in newtons, and q represents the charge in coulombs. You can therefore set up the following equation:
[tex]1.4\times 10^4 N/C=\dfrac{F}{3.25\times 10^{-5}C} \\\\[/tex]
[tex]F=(1.4\times 10^4 N/C) \times (3.25 \times 10^{-5} C)=4.6 \times 10^{-1} N[/tex] (following sig figs)
Hope this helps!
Answer:
your answer is 1.50 E4 N/C
Step-by-step explanation:
Need help with this
Pls!! Show work
Answers
Answer:
a) S_tot 320 cm² (cube), 282.743339 cm² (cylinder) thus the cube is a greater surface area.
b) V = 300 cm³ (cube) V = 314.159265 cm³ (cylinder) thus the cylinder has a greater volume.
Step-by-step explanation:
First solve for the cube:
length l = 10 cm
width w = 10 cm
height h = 3 cm
diagonal d = 14.4568323 cm
total surface area Stot = 320 cm²
lateral surface area S_lat = 120 cm²
top surface area S_top = 100 cm²
bottom surface area S_bot = 100 cm²
volume V = 300 cm³
Agenda: l = length
w = width
h = height
d = diagonal
S_tot = total surface area
S_lat = lateral surface area
S_top = top surface area
S_bot = bottom surface area
V = volume
Formulas for a rectangular prism or cube:
Volume of Rectangular Prism:
V = lwh
Surface Area of Rectangular Prism:
S = 2(lw + lh + wh)
Space Diagonal of Rectangular Prism:
d = √(l² + w² + h²)
_______________________________
Second we solve for the cylinder
radius r = 5 cm d/2 = 10/2 = 5 cm
height h = 4 cm
volume V = 314.159265 cm³
lateral surface area L = 125.663706 cm²
top surface area T = 78.5398163 cm²
base surface area B = 78.5398163 cm²
total surface area A = 282.743339 cm²
In Terms of Pi π
volume V = 100 π cm³
lateral surface area L = 40 π cm²
top surface area T = 25 π cm²
base surface area B = 25 π cm²
total surface area A = 90 π cm³
Agenda:
Agenda: l = length
w = width
h = height
d = diagonal
S_tot = total surface area
S_lat = lateral surface area
S_top = top surface area
S_bot = bottom surface area
V = volume
Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr²h
Calculate the lateral surface area of a cylinder (just the curved outside):
L = 2πrh
Calculate the top and bottom surface area of a cylinder:
T = B = πr²
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)
. (10 points) Based on pre-trial speculation, the probability that a jury returns a guilty verdict in a certain high-profile murder case is thought to be 15% if the defense can discredit the police department, and 80% if they cannot. Veteran court observers believe that the skilled defense attorneys have a 70% chance of convincing the jury that the police either contaminated or planted some evidence. What is the probabiliy that the jury returns a guilty verdict?
Answers
Answer:
34.5% probability that the jury returns a guilty verdict
Step-by-step explanation:
We have these following probabilities:
If the police can discredit the police department, 15% probability of a guilty verdict.
70% probability of the police department being discredited by the defense.
If the police can discredit the police department, 80% probability of a guilty verdict.
100 - 70 = 30% probability of the defense not discrediting the police.
What is the probability that the jury returns a guilty verdict?
15% of 70% and 80% of 30%. So
p = 0.15*0.7 + 0.8*0.3 = 0.345
34.5% probability that the jury returns a guilty verdict
Geckos are lizards with specialized toe pads that enable them to easily climb all sorts of surfaces. a research team examined the adhesive properties of 7 tokay geckos. below are their toe-pad areas (in square centimeters, cm2). 5.6 4.9 6.0 5.1 5.5 5.1 7.5 what is the value of the sample variance? _____ cm2 answer
Answers
Answer: 0.6763 cm∧2
Step-by-step explanation: Variance is one of the measures of dispersion which is the the second central moment in probability. It is defined as a measure of by how much the values in a data set differs from the mean of the values. Thus it is the average of the squares of the deviations from the mean as this ensures that both the negative and positive deviations do not cancel each other out.
The sample variance would be calculated as follows:
Population size is 7 (5.6 4.9 6.0 5.1 5.5 5.1 7.5)
Mean: Sum of samples / population size ;
(5.6 4.9 6.0 5.1 5.5 5.1 7.5) / 7 = 5.67
Applying the formula for variance: [ Summation (x - mean) ] / population size =( |5.6 - 5.67| + |4.9 - 5.67| + |6.0 - 5.67| + (|5.1 - 5.67|) * 2 + | 5.5 - 5.67| + |7.5 - 5.67|) / 7 = 0.6763 cm^2
What is the volume of this rectangular prism? 30.75 cm^3
61.5 cm^3
147.6 cm^3
295.2 cm^3
Answers
This question is incomplete. Because it lacks the diagram of the Rectangular prism. Find attached to this answer the appropriate diagram.
Answer:
295.2 cm³
Step-by-step explanation:
A Rectangular Prism is a 3 dimensional geometric shape.
The formula used to calculate the volume of the Rectangular Prism = Length × Width × Height
Length = 15cm
Height = 4.8cm
Width = 4.1cm
Volume of the Rectangular Prism = 15cm × 4.8cm × 4.1cm
= 295.2 cm³
Answer:
295.2
Step-by-step explanation:
Got it right on the test. Your welcome and have a great day and God bless you all.
Solve for n. 11(n – 1) + 35 = 3n plz help
Answers
[tex]answer \\ = - 3 \\ solution \\ 11(n - 1) + 35 = 3n \\ or \: 11n - 11 + 35 = 3n \\ or \: 11n + 24 = 3n \\ or \: 11n - 3n = - 24 \\ or \: 8n = - 24 \\ or \: n = \frac{ - 24}{8} \\ n = - 3 \\ hope \: it \: helps[/tex]
Find the surface area of the polyhedra
pls!! show how you got the surface area
Answers
Answer:
164 cm.
Step-by-step explanation:
First, I solved for the bottom and top. 10 times 3 is 30. Then I doubled it because it's the same answer for the bottom and top. I got 60.
Next I solved for the sides. 4 times 3 is 12. Then I doubled it because it's the same answer for both sides. I got 24.
Lastly I solved for the front and back. 10 times 4 is 40. Then I doubled it because it's the same answer for both the front and back. I got 80.
After all this, I added everything together. 60 + 24 + 80 = 164.
Sorry, I'm not the best at explaining things.
help ASP plaz i need help
Answers
Answer:
isoceles right triangle
Step-by-step explanation:
the two lines shows their equal length and its at a 90 degrees angle so its a isoceles right triangle
What equation is equivalent to 3(a+4)-5(a-2)=22?
Answers
Answer:
a = 0
Step-by-step explanation:
=> 3(a+4)-5(a-2) = 22
Opening Brackets
=> 3a+12-5a+10 = 22
=> 3a-5a+12+10 = 22
=> -2a+22 = 22
Subtracting 22 to both sides
=> -2a = 0
Dividing both sides by -2
We get,
=> a = 0
Answer:
a = 0
Step-by-step explanation:
3(a+4)-5(a-2)=22
3a+12-5a+10=22
-2a+22=22
Subtract 22 from both sides
-2a=0
Multiply both sides by -1
2a= -0
2a=0
Divide both sides by 2
a=0
Hey I just realized my answer is really similar to Ujalakhan01's so sorry if it seems like I copied them.
PLEASE HELP IT IS URGENT How do you find CF?
Answers
Answer:
CF = 12
Step-by-step explanation:
∠ CDF = ∠ ABD = 45° ( alternate angles )
Using the sine ratio in right triangle CDF and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{CF}{CD}[/tex] = [tex]\frac{CF}{12\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
[tex]\sqrt{2}[/tex] CF = 12[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
CF = 12
Sammy the school custodian is having a debate with Marci the museum curator. Sammy contends that the school is larger than the museum in terms of area. Marci contends the opposite. To settle their debate, they find satellite images of both buildings and juxtapose them on a single coordinate grid (shown below). The area of the school is \text{m}^2m 2 start text, m, end text, squared. Round the final answer to the nearest square meter. Do not round intermediate calculations. The area of the museum is \text{m}^2m 2 start text, m, end text, squared. Round the final answer to the nearest square meter. Do not round intermediate calculations. Who should win the debate?
Answers
Answer:
(Satellite images of both the buildings on a single coordinate grid are shown in the ATTACHMENT)
MARCI SHOULD WIN
AREA OF MUSEUM > AREA OF SCHOOL
Step-by-step explanation:
Find the area of School in Grid squares:
[tex]Width=\sqrt{1^2+3^2}\\ Width=\sqrt{10}\\Length=\sqrt{2^2+6^2}\\Length=\sqrt{40}\\Area=(Length)\cdot(Width)=\sqrt{40}\sqrt{10}=20\\[/tex]Area of School = 20 Grid squares*10*10
Area of School = 2000 m²
Find the area of Museum in Grid squares:
[tex]A=\pi{r^2}\\A=\pi(3^2)\\A=9\pi[/tex]
Area of Museum = 9п grid squares
Area of Museum = 2826 m²
AREA OF MUSEUM > AREA OF SCHOOL
Can anyone help me with 9th-grade geometry?
Answers
Answer:
See below.
Step-by-step explanation:
From the given info the 2 triangles are isosceles with AE = FR and ET = RP because the 2 sets of base angles are equal.
As the base angles are congruent m < E = m < R.
So the are 2 triangles are congruent by SAS, ASA and AAS.
PLEASE HELP ME ILL MARK YOU BRILLIANT.
Answers
Answer:
21/100
Step-by-step explanation:
there are 100 total people and 21 who have a dog but do not take walks. You can leave it like that because it cannot be simplified more.
A rectangle has a length of 6 inches, and a width
of 4 inches. What is the area of this rectangle
Answers
Answer:
length times width so.... 24
A teenager's heart pumps an average of 7200 L of blood every 24 hours. What is the rate of change of volume of blood?
Answers
How to solve this:
1: 7200/24 = x/1
2: 7200/24 = 300/1
3: 300 L of blood per hour
We know that an average is 7200 for heart pumps so we divide 7200 by 24 hours = x/1
Second step is the same 7200 divided by 24 = 300/1
So the correct answer is 300. 300 L of blood per hour.
Answer: 300 L of blood per hour.
Please mark me brainliest.
Hope this helps.
The rate of change in the volume of blood is 300 liters per hour.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
The volume of blood pumped by the teenager's heart is expressed as a rate of change in volume per hour.
Rate of change of volume of blood = volume of blood/time
= 7200 L /24
Apply the division operation, and we get
= 300 L/hour
The teenager's heart changes blood volume at a pace of 300 liters per hour. This means that his or her heart is pumping 300 liters of blood every hour.
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Find the area of the following
rhombus:
5 cm
13 cm
12 cm
Answers
Answer:
Since the diagonals of a rhombus bisect each other, the diagonals are 5 * 2 = 10 and 12 * 2 = 24. To find the area of a rhombus we can divide the product of the diagonals by 2 which is 10 * 24 / 2 = 120 cm².
Which of the following is a correct representation of the polynomial F(x)=x^4-5x^2+4 as a product of linear factors
Answers
Answer:
C
Step-by-step explanation:
how to find the correct one?
just see on the x² constant number. it's -5 so
from ABCD the only option give -5 is C
A. (-2)(-2) + (-1)(-1) = 5
B. (-2)(-2) + (1)(1) = 5
C. (2)(-2) + (-1)(1) = -5
D. (-2)(2) + (-1)(-1) = -3
A textbook has 428 pages numbered in order starting with 1. You flip to a random page in the book in a way that it is equally likely to stop at any of the pages. What is the sample space for this experiment?
Answers
Answer:
The set of all pages in the book:
S={1, 2, 3, ..., 428}
Step-by-step explanation:
The sample space is the set containing all possible outcomes for the experiment. In this problem, the experiment is stopping at a random page of the textbook, and the sample space is the set of all pages in the book:
S={1, 2, 3, ..., 428}.
Answer:
s
Step-by-step explanation:
