Answer:
245.84
Step-by-step explanation:
An automobile manufacturer has four different subcompact cars on the line. Customers selecting one of these cars have a choice of three engine sizes, three body styles, and seven color schemes. How many different selections can a customer make
Answer:
The customer can make 42 different selections
Step-by-step explanation:
Here, we want to know the different selections a customer can make
A customer can request 1 engine size, 1 body style and 1 colour scheme from the available set for his car
Out of 3 engine sizes , he will select 1; that will be 3 C 1
Out of 3 body styles, he will select 1, that will be 3 C 1
Out of 7 color schemes, he will select one and that is 7 C 1
So the number of different selections will be;
3 C 1 * 3 C 1 * 7 C 1
= 3 * 3 * 7 = 42 different selections
The curved part of this figures is a semicircle.
What is the best approximation for the area of this figure?
14+16.25π units²
28+16.25π units²
14+8.125π units²
28+8.125π units²
Coordinate plane with axes labeled x and y. A closed figure is formed by two segments and a semicircle. A segment extends from negative 4 comma negative 2 to negative 4 comma 2. Another segment extends from negative 4 comma 2 to 3 comma 2. A semicircle extends from 3 comma 2 to negative 4 comma negative 2.
The area of a shape is the amount of space on the shape.
The best approximation for the area of the figure is [tex]14 + 16.25\pi[/tex]
How to determine the area of the figureStart by calculating the diameter of the semicircle using the following distance formula:
[tex]d = \sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2}[/tex]
So, we have:
[tex]d = \sqrt{(-4 -3)^2 +(-2 -2)^2}[/tex]
[tex]d = \sqrt{65}[/tex]
Divide by 2, to calculate the radius
[tex]r = \frac{\sqrt{65}}{2}[/tex]
So, the area of the semicircle is:
[tex]A = \frac{\pi r^2}{2}[/tex]
This gives
[tex]A = \pi (\frac{\sqrt{65}}{2})^2[/tex]
[tex]A = \frac{65}{4}\pi[/tex]
[tex]A = 16.25\pi[/tex]
Next, we calculate the area of the triangle using:
[tex]A = 0.5 * B * H[/tex]
Where:
[tex]B = 3 -(-4)[/tex]
[tex]B = 7[/tex]
[tex]H= 2 - (-2)[/tex]
[tex]H = 4[/tex]
So, we have:
[tex]A = 0.5 * 7 * 4[/tex]
[tex]A = 14[/tex]
The area of the figure is then calculated as:
[tex]A = 14 + 16.25\pi[/tex]
Hence, the best approximation for the area of the figure is [tex]14 + 16.25\pi[/tex]
Read more about areas at:
https://brainly.com/question/10090807
Based on the graph, which inequality is correct for a number that is to the left of -4?
HHHHHH
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
+
(4 points)
o -7>-4
0-6<-4
-8 > -4
ОО
-4 <-g
NEED HELP ASAP
Answer:
Sorry I'm a little late but the answer is
2 > -4
Find x.
P
40
600
L
R
1345753 yessssssssssss
Sand pouring from a chute forms a conical pile whose height is always equal to the diameter. If the height increases at a constant rate of 5 feet per minute, at what rate is the sand pouring from the chute when the pile is 10 feet high
Answer:
125π ft³/min
Step-by-step explanation:
Volume of a cone = 1/3πr²h
r is the radius
h is the height.
r = d/2
Volume = 1/3π(d/2)²h
Volume = 1/3π(d²/4)h
Volume = 1/3πd²h/4
Since the diameter is equal to height, hence d = h
V = 1/3πh³/4
V = 1/12πh³
dV/dt = dV/dh × dh/dt
Given
dh/dt = 5ft/min
dV/dh = 3/12πh²
dV/dh = πh²/4
Given h = 10ft
dV/dh = π(10)²/4
dV/dh = 25πft²
Next is to get dV/dt
dV/dt = 25π × 5
dV/dt = 125π ft³/min
Hence the rate at which the sand is pouring from the chute when the pile is 10 feet high is 125π ft³/min
Can someone help me solve this ?
Answer:
$182
Step-by-step explanation:
Let x be the number of students going
Let y be the total cost
Then,
7x=y
7(26)=y
$182=y
Therefore, the total cost would be $182 for 26 students to go.
Hope this gives you an A
Answer:
expression: 7 × (S which is 26)
Total cost: 182
Step-by-step explanation:
College students are a major target for advertisements for credit cards. At a university, 65% of students surveyed said they had opened a new credit card account within the past year. If that percentage is accurate and you survey 100,000 college students in California, how many students would you expect to not have opened a new credit card account
Answer:
35,000 students did not open a new credit card account
Step-by-step explanation:
If 65% of students surveyed said they opened a new credit card account, the percentage of students that did not open a new credit card account is calculated as follows:
Total percentage = 100%
100% = 65% + (% of students that did not open a new account)
100 - 65 = % of students that did not open a new account
∴ % of students that did not open a new account = 100 - 65 = 35%
Next, let us convert this percentage to actual number
Total number of Students surveyed = 100,000
% of students that did not open a new account = 35%
35% of 100,000
= 35/100 × 100,000
= 0.35 × 100,000 = 35,000
Two less than 5 times a number is the same as the number plus 10. what's the number (x)?
Answer:
Th answer is 2
Step-by-step explanation:
Subtract 5 from 10 then multiply 5 and 2
Glad i could help
Answer:
3
Step-by-step explanation:
5x-2=x+10
4x=12
x=3
(5*3)-2=15-2=13
3+10=13
13=13
Helppppppppppppppppp
Answer:
16
Step-by-step explanation:
since the triangle is the same on both sides, if one side is 16 then the other side is the same.
Find the divergence of each of the following vector fields at all points where they are defined. (a) div(x(x2 y2 z2)1.5i y(x2 y2 z2)1.5j z(x2 y2 z2)1.5k)
Answer: the divergence of the vector fields at all points its defined is 0
Step-by-step explanation:
Given that;
div ( [x / (x²+ y² + z²)^1.5]i + [y / (x² + y² + z²)^1.5]j + [z / (x² + y² + z²)^1.5]k )
= d/dx [x / (x²+ y² + z²)^1.5] + d/dx [y / (x² + y² + z²)^1.5] + d/dx [z / (x² + y² + z²)^1.5]
= [1 / (x²+ y² + z²)^1.5] - [3x² / (x²+ y² + z²)^2.5] + [1 / (x²+ y² + z²)^1.5] - [3y² / (x²+ y² + z²)^2.5] + [1 / (x²+ y² + z²)^1.5] - [3z² / (x²+ y² + z²)^2.5]
= [3 / (x²+ y² + z²)^1.5] - [(3x² + 3y² +3z²) / (x²+ y² + z²)^2.5]
= [2 / (x²+ y² + z²)^1.5] - [3 / (x²+ y² + z²)^1.5] = 0
therefore the divergence of the vector fields at all points its defined is 0
WILL GIVE 30 PIONTS AND A BRAINLY PLZ I NEED HELP
Answer:
1. 16 2. 8
Step-by-step explanation:
Answer:
The first one is 16 the other one is 8
Step-by-step explanation:
In partictual, you will never arrive at the truth.
The width of a rectangle is 15 inches less than three times it’s length. If the perimeter is 26 inches , what is the area of the rectangle
Length can be expressed as 2L + 2w = 26 since we know the total perimeter is 26 inches. Width can expressed as w = 3L - 15, since we know that it is 15 inches less than 3x the length. Then substitute the width into the length formula.
2L + 2w = 26
2L + 2(3L - 15) = 26
2L + 6L - 30 = 26
8L = 56
L = 56/8
L = 7 inches
Substitute 7 into the width formula to find width:
w = 3L - 15
w = 3 x 7 - 15
w = 6 inches
Finally use the area formula:
A = L x W
A = 7 x 6
A = 42 [tex]inches^{2}[/tex]
How large a sample must we take if we want the margin of error to be at most 0.01 pound with 95% confidence
Answer:
The sample size is [tex]n = 153664[/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is E = 0.01
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Let take the standard deviation to be [tex]\sigma = 2 \ pounds[/tex]
Gnerally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ]^2[/tex]
=> [tex]n = [\frac{1.96 *2 }{0.01} ]^2[/tex]
=> [tex]n = 153664[/tex]
What is the domain of the function
f(x) = √ 1/3x + 2?
100 points to correct answer
: If (26)x = 1, what is the value of x? Explain your answer.
Answer:
All you have to do is divide 1 by 26 and that should be the value of x.
Step-by-step explanation:
Can I just say that is a very strange math equation XD
Spooky Story with figurative language, it needs to have what figurative language you used and the words, and the pov and the end
Answer:
THIS IS NOT MATHEMATICS!!!!!
Step-by-step explanation:
What is the Equivalent expression in standard form: 3x + (2 - 4x)
Do you think that students should be proficient in addition before learning multiplication? answer in 175 words! thank you so much :)
Answer:
Yes, Because if you can't add then you do not know how many times to add the number. For example, 5 x 5= 25
If you don't know what 5+5 equals then how are you supposed to figure out 5+5+5+5+5. That is just common knowledge that you should have learned in your early school years. You need to know how to subtract to divide so it is basically the same concept. I do not know anyone that does not know how to multiply but not add. To me, that does not even seem possible. I know that you have to be really good at adding to multiply too. Cause if you only know how to add up to 100 what happens when you get in high school and college and need to multiply in school over 100? Or thinking higher than that you need to know so that you can do taxes, pay bills, etc... So my answer to this question is yes, you should be proficient in addition to learn multiplication.
Which of the following statements is not a translation of the equation 4 + x = 9?
Answer:yes it is! It’s correct
The value of a truck is $24,000 when it is brand new. The value depreciates $900 per year. when will the value of the car be less than $17,000? write an inequality to represent the situation, do not solve the inequality, defined the variable.
Answer:
after 8 years
24,000 - 900x < 17,000
the variable is x, the number of years
Step-by-step explanation:
One way is to just subtract 900 from 24000 until it gets to 17000.
1. 23,100
2. 22,200
3. 21,300
4. 20,400
5. 19,500
6. 18,600
7. 17,700
8. 16,800
Another way is to write an inequality.
I know you don't have to solve it, but I'm going to write it anyway.
24,000 - 900x < 17,000
24,000 is the total, or what you start with
900 is what goes down every year
x is the number of years
all of that has to be less than 17,000
To put this into words, it would be: if 24,000 minus $900 times the number of years is less than 17000, what is x?
To find the answer, first find the difference between 24000 and 17000
subtract 2400 from each so so you are left with:
-900x < -7,000
Then to find x, the number of years, divide both sides by -900:
x < 7.777...
since that is the exact answer, and we don't really need that, we can round it up to 8.
x < 8
To learn to do this might be troublesome, but its way faster in the end. I'm not the best at explaining math, but hope this helps :)
An arts academy requires there to be 6 teachers for every 96 students and 5 tutors for every 40 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 80 students?
Answer:18 students for each teacher and 10 for each tutor, and if the academy had 80 students it would have 8 tutors
How do I divide a fraction?
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed
Answer:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
Step-by-step explanation:
HELP PLEASE!!!!!
Which statement describes the system of equations?
x+2y=2
x-2y=-2
It has infinitely many solutions.
It has no solution.
It has one solution (0, 1).
It has one solution (4, –1).
y=2x -1 ( subtract 1 not negetive) find the slope and thr y intercept
Answer:
Y intercept: The y intercept is -1, and the slope is 2/1, or 2.
Step-by-step explanation:
In the equation y=mx + b, m is the slope. B is the y intercept. So, by taking y = mx + b, you get y = 2x - 1. So, 2x is the slope, or [tex]\frac{2}{1}[/tex], and -1 is the y intercept.
A bookcase measures 13 feet wide and 24 feet tall. What would the bookcase's measurements be on a scale drawing using the scale 3 cm:2 ft?
Answer:
Step-by-step explanation:
Find out what 1 Foot per centimeter is (1.5 centimeters per foot)Multiply 13 by 1.5 to find one side and 24 by 1.5 to find the other side.
In a building construction project, the on-time completion of the building requires the successive completion of a series of activities. Define E = excavation completed on time; and P[E] = 0.8 F = foundation completed on time; and P[F] = 0.7 S = superstructure completed on time; and P[S] = 0.9 Assume statistical independence among these events.
Answer:
The probability of the completion of the project on time is 0.504.
Step-by-step explanation:
The question is:
Define the event C : (project completed on time) in terms of E, F and S. Compute the probability P(C) operations will not be on time in terms of E, F and S.
Solution:
The events are:
E = excavation completed on time; P [E] = 0.8
F = foundation completed on time; P [F] = 0.7
S = superstructure completed on time; P [S] = 0.9
The event C denotes the completion of the project on time.
Compute the probability of event C as follows:
P (C) = P (E ∩ F ∩ S)
= P (E) × P (F) × P (S)
= 0.8 × 0.7 × 0.9
= 0.504
Thus, the probability of the completion of the project on time is 0.504.
4. 44 + s + 65 = 180
Answer:s=71
Step-by-step explanation:44+65=109 109-180=71
How many degrees is 15/16pi radians?
Answer:
192 °
Step-by-step explanation:
Hope this helped! <3
Answer:
168.75°
Step-by-step explanation:
I think
A fair coin is tossed three times. Let X be the number of heads in thetosses minus the number of tails. Find the probability distribution of X.
Answer:
P(3) = 1/8
P(1) = 3/8
P(-1) = 3/8
P(-3) = 1/8
Step-by-step explanation:
Given that :
Coin is tossed 3 times :
Kindly check attached picture for detailed explanation
plz help as soon as you can
A: -16 < -4
B: 40 > 8
C: -45 < 15
D: 35 > -20
E: Reverse