Answer:
36 ft²
Step-by-step explanation:
Split the figure into two shapes.
Area of figure = Area of rectangle + Area of triangle
Area of rectangle:
[tex]length \times width[/tex]
[tex]length=8\\width=4[/tex]
[tex]8 \times 4 = 32[/tex]
Area of triangle:
[tex]\frac{base \times height}{2}[/tex]
[tex]base=8-4=4\\height=2[/tex]
[tex]\frac{4 \times 2}{2}[/tex]
[tex]\frac{8}{2} =4[/tex]
Area of figure = [tex]32 + 4 = 36[/tex]
Answer:
36[tex] {ft}^{2} [/tex]Option C is the correct option.
Step-by-step explanation:
Solution,
Height = 2 ft
Base = 8 - 4 = 4 ft
Finding the area of ∆ ABC :
[tex] \frac{1}{2} \times b \times h[/tex]
[tex] = \frac{1}{2} \times 4 \times 2[/tex]
[tex] = 4 \: {ft}^{2} [/tex]
Finding the area of rectangle BDEF:
[tex]length \: \times breadth[/tex]
[tex] = 8 \times 4[/tex]
[tex] = 32 \: {ft}^{2} [/tex]
Total area :
Area of triangle ∆ABC + Area of rectangle BDEF
[tex] = 4 \: {ft}^{2} + 32 { \: ft}^{2} [/tex]
[tex] = 36 \: {ft}^{2} [/tex]
Hope this helps...
Good luck on your assignment..
Which statement explains if a dilation was applied? A dilation was applied to the fabric because the width of the fabric was preserved. A dilation was applied to the fabric because the angle measures were preserved. A dilation was not applied to the fabric because the angle measures are the same. A dilation was not applied to the fabric because the length was changed, not the width.
Answer:
A dilation was not applied to the fabric because the length was changed, not the width.
Step-by-step explanation: B was not the answer it was D.
Answer:
D.
Step-by-step explanation:
Edge 2022.
Please answer this correctly
Answer:
Dependent
Step-by-step explanation:
Madelyn needs to base her move off Bryant, meaning the two events are dependent.
I'm pretty sure it would be dependent, but thats just me.
PLZ I need Help the Question is: 5+13·18+85÷17−11
Answer:
233
Step-by-step explanation:
A circuit contains two capacitors rated at 0.02 microfrads and 0.05 microfrads connected in series the circuits Source voltage is 30vac what is the circuits total capacity
Answer:
about 0.0143 microfarads
Step-by-step explanation:
The effective capacitance of capacitors in series is the reciprocal of the sum of their reciprocals:
1/(1/0.02 +1/0.05) = 1/(50+20) = 1/70 ≈ 0.0143 . . . microfarads
please help. Find the value of x
Answer:
x =24
Step-by-step explanation:
Call the angle in the lower right corner y
The outside angles add to 180 degrees for the large triangle
41+ 94+ y = 180
135 + y = 180
y = 180-136
y =45
The small triangle in the lower right also has angles that add to 180
y+ 111+x = 180
45+111+x = 180
156 + x = 180
x = 180-156
x =24
Answer:
x = 24
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
a + 111 = 180
180 - 111 = a
a = 69
Angles in a quadrilateral add up to 360 degrees.
69 + 41 + 94 + c = 360
204 + c = 360
c = 360 - 204
c = 156
Angles on a straight line add up to 180 degrees.
x + 156 = 180
x = 180 - 156
x = 24
Find the circumference and the area of a circle with diameter 8 yd.
Use the value 3.14 for, and do not round your answers.
I need the area and circumference!!
Answers:
area = 50.24 square yards
circumference = 25.12 yards
values are approximate
================================================
Work Shown:
d = 8 is the diameter
r = 4 is the radius, half the diameter
pi = 3.14 approximately
C = 2*pi*r = circumference
C = 2*3.14*4
C = 25.12 yards is the circumference. The circumference is the distance around the circle, aka the perimeter
An alternative formula you can use is C = pi*d
-------------------
A = area of circle
A = pi*r^2
A = 3.14*4^2
A = 50.24 square yards is the area
Answer:
25.12 and 50.24
Step-by-step explanation:
8/2=4
4= radius
8= diameter
3.14*8=25.12
This would be the circumfrence (25.12)
3.14*4^2
3.14*16
50.24
This would be the area (50.24)
Hope this helps!
A random sample of adult drivers was obtained where 52% were men and 46% were women. Note that everyone is not classified as a man or a women. A survey showed that 65% of the drivers rely on GPS systems. 30% of the drivers are men and use GPS while 34% of the drivers are women and use GPS. Suppose a person included in this survey is randomly selected.
a) Suppose the person selected is a man. What is the probability that he relies on a GPS system? Your answer should have at least 3 decimal places.b) Suppose the person selected relies on a GPS system. What is the probability that the person is a woman? Your answer should have at least 3 decimal places.c) What is the probability that the person is a man and does not rely on a GPS system? Your answer should have at least 3 decimal places.d) What is the probability that an individual is a man or uses a GPS system? Your answer should have at least 3 decimal places.e) What is the probability that an individual does not use a GPS system? Your answer should have at least 3 decimal places.
Answer:
a) P(G | M) = 0.577
b) P(W | G) = 0.523
c) P(M and G') = 0.220
d) P(M or G) = 0.870
e) P(G') = 0.350
Step-by-step explanation:
A random sample of adult drivers was obtained where 52% were men and 46% were women.
P(M) = 0.52
P(W) = 0.46
A survey showed that 65% of the drivers rely on GPS systems.
P(G) = 0.65
30% of the drivers are men and use GPS while 34% of the drivers are women and use GPS.
P(M and G) = 0.30
P(W and G) = 0.34
a) Suppose the person selected is a man. What is the probability that he relies on a GPS system? Your answer should have at least 3 decimal places
P(G | M) = ?
Recall that conditional probability is given by
∵ P(B | A) = P(A and B)/P(A)
For the given case,
P(G | M) = P(M and G)/P(M)
P(G | M) = 0.30/0.52
P(G | M) = 0.577
b) Suppose the person selected relies on a GPS system. What is the probability that the person is a woman? Your answer should have at least 3 decimal places.
P(W | G) = ?
Recall that conditional probability is given by
∵ P(B | A) = P(A and B)/P(A)
For the given case,
P(W | G) = P(W and G)/P(G)
P(W | G) = 0.34/0.65
P(W | G) = 0.523
c) What is the probability that the person is a man and does not rely on a GPS system? Your answer should have at least 3 decimal places.
P(M and G') = ?
Where G' means does not rely on a GPS system
P(M and G') = P(M) - P(M and G)
P(M and G') = 0.52 - 0.30
P(M and G') = 0.220
d) What is the probability that an individual is a man or uses a GPS system? Your answer should have at least 3 decimal places.
P(M or G) = ?
Using the addition rule of probability,
∵ P(A or B) = P(A) + P(B) - P(A and B)
For the given case,
P(M or G) = P(M) + P(G) - P(M and G)
P(M or G) = 0.52 + 0.65 - 0.30
P(M or G) = 0.870
e) What is the probability that an individual does not use a GPS system? Your answer should have at least 3 decimal places.
P(G') = ?
P(G') = 1 - P(G)
P(G') = 1 - 0.65
P(G') = 0.350
Lindsey made an error while solving this equation. 143.5 = 2 - (7(x+3). What line has the error?
(Refer to image)
A: Step 1
B: Step 2
C: Step 3
D: Step 4
Answer:
Step 1
Step-by-step explanation:
She didn't distribute the negative while she distributed 7. It should be -7x - 21, not 7x - 21.
As a prize for winning a contest, the contestant is blindfolded and allowed to draw 3 dollar bills one at a time out of an urn. The urn contains forty $1 bills and ten $100 bills. The urn is churned before each selection so that the selection would be at random. What is the probability that none of the $100 bills are selected
Answer:
The probability that none of the $100 bills are selected is 79.6%.
Step-by-step explanation:
The urn contains forty $1 bills and ten $100 bills. This gives a total of 50 bills in the urn.
To draw 3 dollar bills one at a time out of an urn, the probability of not selecting a $100 bill, decreases with each selection.
And the probability of not selecting a $100 bill is the probability of selecting a $1 bill in the first selection = 80% (40/50 x 100).
The probability of selecting a $1 bill the second time = 79.6% (39/49).
The probability of selecting a $1 bill the third time = 79.2% (38/48).
The sum of the probabilities divided by 3 = 79.6% (238.8/3)
b) Probability arises when there is a chance that an event may occur from a set of events that could have occurred. It is based on an estimate that one event happens when all the events in the set are given no less equal chance.
Please help :) May gob bless all of u for helping each other
Answer:
see below
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent/ hypotenuse
cos 53 = y/ 34
34 cos 53 = y
20.46171079 = y
The amount of time t(in minutes) that it takes to put out a fire varies inversely with G, the volume of water used (in hundreds of gallons). When G is 2, t is 20. Find how long it takes to put out a fire when 500 gallons of water (G = 5) are used.
Answer:
50 minutes.
Step-by-step explanation:
You can use a ratio to solve:
[tex]t[/tex] : [tex]G[/tex]
20 : 2
10 : 1
[tex]x[/tex] : 5
[tex]x[/tex] must be 50 minutes since 100 gallons of water takes 10 minutes.
A body of 100 g of mass moves with a constant speed of 20 m / s. At a given moment, a force of 50 N is applied to it, which is constantly held perpendicular to the direction of movement.
1).-The radius of the circular path described by the body .
2). The number of turns per second it will make. Help
Answer:
1) 0.8 m
2) 3.98 rev/s
Step-by-step explanation:
1) Centripetal force:
F = mv²/r
50 N = (0.1 kg) (20 m/s)² / r
r = 0.8 m
2) Angular velocity:
ω = v/r
ω = (20 m/s) / (0.8 m)
ω = 25 rad/s
f = (25 rad/s) (1 rev / 2π rad)
f = 3.98 rev/s
The surnames of 40 children in a class arranged in alphabetical order. 16 of the surnames begins with O and 9 of the surname begins with A, 14, of the letters of the alphabet do not appear as the first letter of a surname If more than one surname begins with a letter besides A and O, how may surnames begin with that letter?
Step-by-step explanation:
40children - 23 (with A, O) = 17left
26 letter in alphabet- ( A, O) = 24 letter left
24 letters left - 14 (not used for 1st letters) = 10
10 letters left to use/ 17 children left
10÷17 = 0.5882352941 x 10 =5.8 or as close to 6 I can get
There are six surnames that start with each letter other than A and O when more than one surname does.
What are permutation and combination?A permutation is an orderly arrangement of things or numbers. Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.
Given, The surnames of 40 children in a class are arranged in alphabetical order. 16 of the surnames begins with O and 9 of the surname begins with A.
Since, 14, of the letters of the alphabet do not appear as the first letter of a surname
14 of the letters of the alphabet do not appear as the first letter of the surname
∴ the no. of letters that appeared = 26-14 = 12 alphabets
15 surnames begin with 10 letters beside O and A
∴ 6 surnames begin with a letter
Therefore, If more than one surname begins with a letter besides A and O, 6 surnames begin with that letter.
Learn more about Permutation and combination here:
https://brainly.com/question/15268220
#SPJ2
I NEED HELP PLEASE, THANKS! :)
As you know, a parallelogram's area is calculated by multiplying the length of it's sides, so all we are being asked to do is find the product of u and v -
[tex]( - 4i - 9j + k )( - 6i + j + 5k ),\\[/tex]
You would apply cross products in order to determine u * v. Doing so, you would get a solution of -46i + 14j - 58k.
Now we can take the magnitude of this vector -
u * v = √( - 46 )^2 + ( 14 )^2 - ( 58 )^2,
u * v = ( About ) 75.3 square units,
Solution = Option A
n a survey from 1998, 449 teenagers were surveyed about the music that they listen to. Of these teenagers, 129 of them said that their favorite genre of music is hip-hop. In a similar survey from 2008, 176 of 509 teenagers surveyed said that their favorite genre is hip-hop. Use a two-proportion hypothesis test to determine whether the proportion of teenagers whose favorite genre of music is hip-hop has changed from 1998 to 2008. Assume that the samples are random and independent. Use α=0.01. Let the sample from 1998 correspond to sample 1 and the other to sample 2. (a) Which answer choice shows the correct null and alternative hypotheses for this test?
Answer:
We accept H₀
Step-by-step explanation:
To compare two proportion:
proportion 1. 1998
n₁ = 449
p₁ = 129/449 p₁ = 0,2873
proportion 2. 2008
n₂ = 509
p₂ = 176/509 p₂ = 0,3457
Test hypothesis
Null Hypothesis H₀ p₂ - p₁ = 0
Alternative Hypothesis Hₐ p₂ > p₁
We have a one tail test ( to the right)
As α = 0,01 we find in z-table the z score z = 2,29 ( approximation for 0,011)
To calculate z(s),
z(s) = ( p₂ - p₁ ) /√ p*q ( 1/n₁ + 1/n₂)
p = ( x₁ + x₂ ) / n₁ + n₂
p = 129 + 176 / 449 +509
p = 0,3184 and q = 1 - p q = 0,6816
1/n₁ + 1/n₂ = 1/ 449 + 1 / 509 = 0,00222 + 0,001964
1/n₁ + 1/n₂ = 0,004184
z(s) = 0,0584/ √(0,3184*0,6816)*0,004184
z(s) = 0,0584/ 0,03013
z(s) = 1,938
z(s) < z(c) 1,938 < 2,29
z(s) is in the acceptance region we accept H₀ at α = 0,01
What are the zeroes of f(x) = y2 - 2x - 3?
Answer:
x=y^2/2 - 3/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Product = -3
Sum = -2
Factors = -3 , 1
y² - 2y - 3 = y² + y - 3y - 3
= y( y + 1) - 3(y + 1)
= (y +1) (y - 3)
The expression x−y equals 0.7 if x and y have certain values. Evaluate the following expressions with the same values of x and y. What is y−x
Answer:
-0.7
Step-by-step explanation:
[tex]x-y=0.7[/tex]
You can choose any digits you wish for [tex]x[/tex] and [tex]y[/tex] but the difference must be 0.7. I chose 1.0 and 0.3.
[tex]x=1\\y=0.3\\x-y=0.7\\\\y-x=\\0.3-1=\\-0.7[/tex]
What is the exact volume of a cone whose base radius is 9ft and whose height is 14 ft. Show your work
━━━━━━━☆☆━━━━━━━
▹ Answer
V ≈ 1187.52
▹ Step-by-Step Explanation
V = πr²[tex]\frac{h}{3}[/tex]
V = π9²[tex]\frac{14}{3}[/tex]
V ≈ 1187.52
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: The exact volume of a cone with a base radius of 9 feet and height of 14 feet is 1187.52.
Step-by-step explanation:
Using the formula V=1/3hπ, we can substitute each variable that we have. Once simplified we will get 1185.52 exactly. Good Luck!
Sabendo que "K" satisfaz a equação {2(k-8) + 3(-k+1) = -4k +11} Os valores reais de x que satisfazem a equação 15x² - kx + 1 = 0 são:
A) 1/2 e 1/5
B) 1/2 e 2/5
C) 1/7 e 1/3
D) 1/5 e 1/3
E) 2/5 e 1/7
Answer:
D) 1/5 e 1/3
Step-by-step explanation:
You have the following quadratic equation:
[tex]15x^2-kx+1=0[/tex] (1)
In order to find the values of x that are solution to the equation (1), you first find the solution for k in the following equation:
[tex]2(k-8)+3(-k+1)=-4k+11\\\\2k-16-3k+3=-4k+11\\\\2k-3k+4k=11+16-3\\\\3k=24\\\\k=8[/tex]
Next, you replace the previous value of k in the equation (1) and you use the quadratic formula to find the roots:
[tex]15x^2-8x+1=0\\\\x_{1,2}=\frac{-(-8)\pm \sqrt{(-8)^2-4(15)(1)}}{2(15)}\\\\x_{1,2}=\frac{8\pm 2}{30}\\\\x_1=\frac{1}{5}\\\\x_2=\frac{1}{3}[/tex]
Then, the roots of the equation (1) are
D) 1/5 e 1/3
Write the equation of each line in slope intercept form (If possible please show work)
Hope it make sense now :)
If a carton contains 6 eggs, how many eggs are there in 13 cartons? would it be 6x13?? which is equal to 78 I'm not sure.
Answer:
78 eggs
Step-by-step explanation:
13 × 6 = 78 eggs
Hope this helps! :)
Answer:
Yes it would be 6x13=78
Step-by-step explanation:
cross multiplication and divide:
1 cartoon = 6 eggs
13 cartoons = x
PLEASE HELP!!(PIC INCLUDED)
Which of the following steps were applied to ABCD to obtain A'B'C'D?
A. shifted 3 units right and 2 units down
B. shifted 4 units right and 2 units down
C. shifted 2 units right and 3 units down
D. shifted 3 units right and 1 unit down
Answer:
A. Shifted 3 unit right and 2 unit down
Step-by-step explanation:
Let's determine the reason for the answer.
We will use a reference point, only one point to determine the reason.
Because the both shape are identical.
Let's use point A
The position of A is 2 on the y axis and 1 on the x axis
While the position of A' is 0 on the y axis and 4 on the X asis
Let's know how many units where moved from the position.
A' -A
For X axis
4-1= 3
For y axis
0-2= 2(we need only the magnitude)
So its 2 units Down and 3 unit right
Which student solved the equation 107d=1733.4 correctly?
Answer:
b correct me if i am wrong probably am
Step-by-step explanation:
Given: a concave polygon Conjecture: It can be regular or irregular
Answer:
[tex]false[/tex]Step-by-step explanation:
A concave polygon can never be regular (all sides and angles must be congruent). Hope this helps..
The target population is all students in your university. You wish to estimate the average current Visa balance for each student. How large would the university student population have to be in order to be regarded as effectively infinite in each of the following samples?
(a) A sample of 24 students.
(b) A sample of 52 students.
(c) A sample of 96 students.
Answer:
For each of the sample sizes given, for the population to be regarded as effectively infinite, student population has to be more than
a) 240 students.
b) 1,040 students.
c) 1,920 students.
Step-by-step explanation:
A population may be treated as infinite when the population size, N, is at least 20 times the sample size, n.
Mathematically,
(N/n) > 20
N > 20n
(a) A sample of 24 students.
If sample size = n = 24
For the population size to be effectively infinite,
N > 20n
N > 20×24
N > 480 students
(b) A sample of 52 students.
If sample size = n = 52
For the population size to be effectively infinite,
N > 20n
N > 20×52
N > 1,040 students
(c) A sample of 96 students.
If sample size = n = 96
For the population size to be effectively infinite,
N > 20n
N > 20×96
N > 1,920 students
Hope this Helps!!!
g Determine whether the statement is true or false. If fx(a, b) and fy(a, b) both exist, then f is differentiable at (a, b). True False Correct: Your answer is correct.
Answer:
False
Step-by-step explanation:
A function is said to be differentiable over a given region if the function is continuous and has only one value for each input.
Therefore in order to conclude that f is differentiable at (a, b), the partial derivatives must be continuous at (a, b).
It is true that the function has to be defined over a given region because without it, you cannot determine if a partial derivative is continuous or otherwise.
But the fact that the partial derivatives exist at a point is not a sufficient condition for continuity.
Marvin and Ruby had the same number of stickers. After Marvin gave 12 stickers to Ruby, Ruby had 4 times as many as Marvin. How many stickers did Ruby have in the beginning?
Answer:
20 Tickets
Step-by-step explanation:
Given
Marvin and Ruby had the same number of stickers.
Let
no. of tickets with Ruby = No. of tickets with Marvin = x
condition
Marvin gave 12 ticket to Ruby
Now\
no. of tickets with Ruby = x+12
No. of tickets with Marvin = x-12
Ruby had 4 times as many as Marvin
Thus,
no. of tickets with Ruby = 4* No. of tickets with Marvin
x+12= 4(x-12) = 4x-48
x+12 = 4x-48
adding 48 both sides
x+12 +48= 4x-48+48
x+60 = 4x
subtracting 4 from both sides
x+60 -x= 4x -x
60 = 3x
dividing both side by 3
60/3 = 3x/3
x = 20
Thus, Ruby had 20 tickets in the beginning.
Let P(t) be a population at time t. A simple population model supposes the rate of growth of the population is proportional to the population (a) Express the last sentence in the language of calculus. (b) Solve for P(t) in the equation you found in part (a) (c) Suppose the net birthrate of the population is .1, and the initial population is 100. (i) Find the population at time t 10.(ii) Find when the population is 1000.
Answer:
[tex](a) \dfrac{dP}{dt} =k P(t)\\(b)P(t)=Ce^{kt}[/tex]
(c)[tex]P(10)\approx 272[/tex]
(ii)[tex]P(1000)\approx 26.88 \times 10^{44}\\[/tex]
Step-by-step explanation:
(a)The rate of growth of the population is proportional to the population, this is written as:
[tex]\dfrac{dP}{dt} \propto P(t)\\$Introducing our proportionality constant, k\\ \dfrac{dP}{dt} =k P(t)[/tex]
(b)
[tex]\dfrac{dP(t)}{P(t)} =k dt\\$Take the integral of both sides\\\int \dfrac{dP(t)}{P(t)} =\int k dt\\\ln P(t)=kt+C, $C a constant of integration\\Take the exponential of both sides\\e^{\ln P(t)}=e^{kt+C}\\P(t)=e^{kt}\cdot e^C $, (Since e^C$ is a constant, we then have:)\\P(t)=Ce^{kt}[/tex]
(c)
Suppose the net birthrate of the population is .1, and the initial population is 100.
k=0.1
P(0)=100
Substitution into P(t) gives:
[tex]100=Ce^{kX0}[/tex]
C=100
Therefore:
[tex]P(t)=100e^{0.1t}[/tex]
(i)When t=10
[tex]P(10)=100e^{0.1 \times 10}\\=271.8\\\approx 272[/tex]
(ii)When t=1000
[tex]P(1000)=100e^{0.1 \times 1000}\\=26.88 \times 10^{44}\\[/tex]
If you shifted y=3x+6 five units to the right, what would the linear equation be? (Hopefully it's challenging and easy at the same time.)
Answer:
[tex]3x + 6 = y \\ 3x = y - 6 \\ \frac{3x}{3} = \frac{y - 6}{3} \\ x = \frac{y - 6}{3} \\ x = \frac{y}{ 3 } - 2[/tex]
Answer:
y = 3x - 9
Step-by-step explanation:
y = 3x + 6 is a linear equation.
Shift the equation 5 units to the right.
The linear equation becomes:
y = 3x - 9
Create an equivalent system of equations using the sum of the system and the first equation.
-3x + y = 12
x + 3y = 6
Answer: -3x + y = 12
-2x + 4y = 18
Step-by-step explanation:
-3x + y = 12
+ x + 3y = 6
-2x + 4y = 18
System of equations is:
-3x + y = 12
-2x + 4y = 18