Answer:
4a + 2b + 5
Step-by-step explanation:
4a−1+2b+6
=4a+−1+2b+6
Combine Like Terms:
=4a+−1+2b+6
=(4a)+(2b)+(−1+6)
=4a+2b+5
GR5_Math_U14_FSQ_FY21
List the kinds of measurements have you worked with so far. Describe what area is. Describe what volume is.
How could you find the combined area of all faces of a three-dimensional shape? Give an example of why that would be a good measurement to know.
Answer: length, width, and hight
hope this helps \( ̄︶ ̄*\))
A farmer's silo is the shape of a cylinder with a hemisphere as the roof. If the height of the silo is 101 feet and the radius of the hemisphere is r feet. Express the volume of the silo as a function of r.
Answer:
\(V(r) =101\pi r^2 + \frac{2}{3}\pi r^3\)
Step-by-step explanation:
Given
Shapes: cylinder and hemisphere
\(h = 101\) --- height of cylinder
Required
The volume of the silo
The volume is calculated as:
Volume (V) = Volume of cylinder (V1) + Volume of hemisphere (V2)
So, we have:
\(V_1 = \pi r^2h\)
\(V_1 = \pi r^2 * 101\)
\(V_1 = 101\pi r^2\) --- cylinder
\(V_2 = \frac{2}{3}\pi r^3\) ---- hemisphere
So, the volume of the silo is:
\(V =V_1 + V_2\)
\(V =101\pi r^2 + \frac{2}{3}\pi r^3\)
Write as a function
\(V(r) =101\pi r^2 + \frac{2}{3}\pi r^3\)
Where: \(\pi = \frac{22}{7}\)
The equation y=1/5x+3.5 can be used to find the amount of accumulated snow y in inches x hours after 5 P.M. on a certain day. Graph this equation.
The coordinates of the y-intercept are (0, 3.5) and the coordinates of the x-intercepts are (-17.5, 0). Using these coordinates, the graph of the equation is shown below.
Graphing linear equationsFrom the question, we are to graph the given linear equation.
To graph the equation,
We will determine the coordinates of the x-intercepts and y-intercepts.
When x = 0
y = 1/5x + 3.5
y = 1/5(0) + 3.5
y = 3.5
(0, 3.5)
When y = 0
y = 1/5x + 3.5
0 = 1/5x + 3.5
Multiply through by 5
0 = x + 17.5
x = -17.5
(-17.5, 0)
Using the coordinates of the x-axis and y-axis, the graph of the equation is shown below.
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EFGH is a parallelogram. Find the measure of EG.
Answer: 64
Step-by-step explanation:
If EFGH is a parallelogram, its diagonals bisect each other meaning EJ and JG are congruent.
EJ = JG
4w + 4 = 2w + 18
Subtract 2w from both sides
2w + 4 = 18
Subtract 4 from both sides
2w = 14
Divide both sides by 2
w = 7
EG = EJ + JG
EG = 4w + 4 + 2w + 18
EG = 6w + 22
Now that we know what 'w' is, we can substitute it for 7
EG = 6 (7) + 22
EG = 42 + 22 = 64
The measure of EG is 64.
Hope that helped!
Assume that the traffic to the web site of Smiley’s People, Inc., which sells customized T-shirts, follows a normal distribution, with a mean of 4.42 million visitors per day and a standard deviation of 800,000 visitors per day.
What is the probability that the web site has fewer than 5 million visitors in a single day? If needed, round your answer to four decimal digits.
(b) What is the probability that the web site has 3 million or more visitors in a single day? If needed, round your answer to four decimal digits.
(c) What is the probability that the web site has between 3 million and 4 million visitors in a single day? If needed, round your answer to four decimal digits.
(d) Assume that 85% of the time, the Smiley’s People web servers can handle the daily web traffic volume without purchasing additional server capacity. What is the amount of web traffic that will require Smiley’s People to purchase additional server capacity? If needed, round your answer to two decimal digits.
a. There is a 0.7643 percent probability that the website will have fewer than 5 million visitors in a single day.
b. There is a 0.0375 percent chance that the website will have 3 million or more visitors in a single day.
c. There is a 0.3186 percent chance that the website will receive between 3 million and 4 million visitors in a single day. Therefore, about 5,276,320 visits per day's worth of website traffic will necessitate Smiley's People buying more server space.
d. The amount of web traffic that will require Smiley's People to purchase additional server capacity is approximately 5,276,320 visitors per day.
In order to calculate the likelihood, we must standardise the data using the equation z = (x - mu) / sigma, where x is the value we are interested in, mu is the mean, sigma is the standard deviation, and z is the standardised value.
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Solve the system using substitution.
x + 3y = 3
3y - 2x = 12
([?], [ ])
Answer: (-3,2)
Step-by-step explanation:
Solving by substitution involves taking one of the equations and basically plugging it into the other.
I would start by taking the first equation and rearranging it to equal a variable. It will be easier to solve using this equation as the x variable is already isolated.
Take: \(x+3y=3\)
Subtract 3y to the other side: \(x=3-3y\)
Now plug this equation in for the value x into the other equation like so:
\(3y-2(3-3y)=12\)
Now there is only one variable to solve in this new equation. Solve for the value y.
Distribute -2: \(3y-6+6y=12\)
Combine Like Terms: \(9y-6=12\)
Add 6 to both sides to cancel: \(9y=18\)
Divide by 9 to both sides to cancel 9: \(y=2\)
So the value y=2.
Now we can plug the value of y back into either equation to now solve for x.
\(x+3(2)=3\)
\(x+6=3\)
\(x=-3\)
Now you have the point (-3,2)
You can check your answers if you would like.
Answer:
(-3,2)
Step-by-step explanation:
What is the degree of the polynomial, y^2+7x^14-10x^2?
The degree of the polynomial is 14
How to determine the degree of the polynomial?The polynomial is given as:
y^2+7x^14-10x^2
Here, we assume that the variable of the polynomial is x
The highest power of x in the polynomial y^2+7x^14-10x^2 is 14
Hence, the degree of the polynomial is 14
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Factor the trinomial. Factor out the GCF first.
11x^2 + 33x + 22
Step-by-step explanation:
11x² + 33x + 22
= 11(x² + 3x + 2)
= 11(x + 1)(x + 2).
Mariel paid: $15, $13, $35, and $18. Which
number shows the change in the balance
her account?
A -$81
C $71
B -$71
D $81
Answer:
check it
Step-by-step explanation:
“Lucynell don’t even know what a hotel is,” the old woman muttered. “Listen here, Mr. Shiftlet,” she said, sliding forward in her chair, “you’d be getting a permanent house and a deep well and the most innocent girl in the world. You don’t need no money. Lemme tell you something: there ain’t any place in the world for a poor disabled friendless drifting man.”
The ugly words settled in Mr. Shiftlet’s head like a group of buzzards in the top of a tree.
—“The Life You Save May Be Your Own,”
Flannery O’Connor
Which two things are being compared in the last sentence?
Q1. Butternut is a ski resort in Massachusetts. One of their triple chair lifts unloads 576 skiers per hour at the top of the slope. (A triple chair lift can carry three passengers per chair.) If 108 skiers are riding on the lift at any one time, how long does the ride from the bottom to the top take
Answer:
11.25minutes
Step-by-step explanation:
From the question we are told that lifts unloads 576 skiers per hour at the top of the slope, this is expressed as;
576skiers = 1hr
To determine the time it will take 108skier, we can write
108skier = x
Divide both expressions
576/108 = 1/x
576x =108
x = 108/576
x = 0.1875hr
Convert to minute
x = 0.1875×60
x = 11.25minutes
Hence it took the ride 11.25minutes
Helpppp plzzzz what is the measure of /_x
Answer:
100
Step-by-step explanation:
Sandra has only Re 1 and Rs 2 coins with her. If the total number of coins that she has is 50 and
the amount of money with her is Rs 75, then find the number of Re 1 and Rs 2 coins
I hope this helps you. Plz mark me as the brainliest.
Geometry Question, Need Help. I will give brainliest.
Answer:
QUESTION:
Geometry Question, Need Help. I will give the brainliest.
ANSWER:
I think that its the second choice on the drop-down list
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
Lisa has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. Six-sided polygon that includes two isosceles right triangles, one with height and base of 20 feet, the other height and base of 6 feet, and one rectangle measuring 30 feet by 6 feet.
Answer:
398 ft
Step-by-step explanation:
Select the correct answer. Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel's savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin's account, at the same time, is modeled by function k. j(x) = 25 + 3x k(x) = 15 + 2x Which function correctly represents how much more money, in dollars, is in Joel's account than in Kevin's account x weeks after the start of the year? O A. (j − k)(x) = 40 + 5x (j − k)(x) = 40 + x (j-k)(x) = 10 + 5x (j-k)(x) = 10 + x O B. C. O D. Reset dtry Next
The correct answer is (j - k)(x) = 10 + x.
To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).
(j - k)(x) = (25 + 3x) - (15 + 2x)
= 25 - 15 + 3x - 2x
= 10 + x
This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.
Therefore, the correct function is (j - k)(x) = 10 + x.
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Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
The correct roots \(8x^{2} + 16x + 3 =0\) are -0.211 and -1.790
Step-by-step Solution:
Given: \(8x^{2} + 16x + 3 =0\)
If the quadratic equation is in the form of \(ax^{2} +bx+c=0\)
Then, the roots of a quadratic equation are given by the following formula:
\(\frac{-b \± \sqrt{b^{2} -4ac}}{2*a}\)
where; a,b, and c are the coefficients of "\(x^{2}\)"," \(x\)" and "constant" terms respectively.
⇒\(8x^{2} + 16x + 3 =0\)
⇒\(\frac{-16 \± \sqrt{(16)^{2} -4*8*3}}{2*8}\)
⇒\(\frac{-16 \± \sqrt{256 -96}}{16}\)
⇒\(\frac{-16 \± \sqrt{160}}{16}\)
⇒\(\frac{-16 \± 12.649{}}{16}\)
⇒\(\frac{-3.391}{16} \\ -0.211\) and \(\frac{-28.649}{16} \\-1.790\)
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Jenny and Johnny are planning their wedding. They do not want to spend more than y dollars for the band and the food at the reception. The band charges $3,500 for the night and the food costs $25 per person. Which of the following inequalities represents this situation, where x is the number of people they invite? A. $3,500 + $25x > y B. $25 + $3,500x > y C. $25 + $3,500x < y D. $3,500 + $25x < y
Answer:
$3,500 + $50x < y
Step-by-step explanation:
f(-5) = -4, and f(5)= 2
linear equation satisfying the conditions , if possible
Given:
f(-5) = -4, and f(5)= 2.
To find:
The linear equation satisfying the conditions.
Solution:
We have,
f(-5) = -4, and f(5)= 2
It means the function passes through the points (-5,-4) and (5,2). So, the linear equation of the function f is
\(y-y_1=\dfrac{y_2-y_1}{x_2-x_2}(x-x_1)\)
\(y-(-4)=\dfrac{2-(-4)}{5-(-5)}(x-(-5))\)
\(y+4=\dfrac{2+4}{5+5}(x+5)\)
\(y+4=\dfrac{6}{10}(x+5)\)
On further simplification, we get
\(y+4=\dfrac{3}{5}(x+5)\)
\(y+4=\dfrac{3}{5}x+3\)
\(y=\dfrac{3}{5}x+3-4\)
\(y=\dfrac{3}{5}x-1\)
Putting y=f(x), we get
\(f(x)=\dfrac{3}{5}x-1\)
Therefore, the required function is \(f(x)=\dfrac{3}{5}x-1\).
in a certain community, 30% of the families own a dog, 20% of the families that own a dog also own a cat
Therefore, the probability that a randomly selected family owns a cat is 0.257. Therefore, the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat is 0.778.
What is probability?Probability is a branch of mathematics that deals with the study of random events or situations. It involves the quantification of the likelihood or chance of an event occurring, expressed as a number between 0 and 1, with 0 representing impossibility and 1 representing certainty. The theory of probability provides a framework for making predictions, analyzing data, and making decisions in situations involving uncertainty or randomness.
Here,
Let's use the following events:
D: family owns a dog
C: family owns a cat
From the problem statement, we know:
P(D) = 0.3
P(C|D) = 0.2
P(C) = 0.34
1. To find the probability that a randomly selected family owns a cat, we can use the law of total probability:
P(C) = P(C|D) * P(D) + P(C|not D) * P(not D)
We don't know P(C|not D), but we can find it using the fact that P(not D) = 1 - P(D):
P(C|not D) = (P(C) - P(C|D) * P(D)) / P(not D)
P(C|not D) = (0.34 - 0.2 * 0.3) / (1 - 0.3)
P(C|not D) = 0.2857
Substituting the values:
P(C) = 0.2 * 0.3 + 0.2857 * 0.7
P(C) = 0.257
2. To find the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat, we can use Bayes' theorem:
P(not D|C) = P(C|not D) * P(not D) / P(C)
Substituting the values:
P(not D|C) = 0.2857 * 0.7 / 0.257
P(not D|C) = 0.778
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Complete question:
In a certain community, 30% of the families own a dog, and 20% of the families that own a dog also own a cat. It is also known that 34% of all the families own a cat. What is the probability that a randomly selected family owns a cat? What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat?
Find equation of the line that passes through the point (5,-1) and is perpendicular to the line y=1/4x-2
Answer:
slope of perpendicular line = -4
passing through (5,-1)
thus,
y+1 = -4 ( x-5 )
or y = -4x + 19
There are 3 red jelly beans, 5 blue jelly beans, 2 orange jelly beans, and and 5 yellow jelly beans in a bag. Another bag has 1 pink jelly bean, 7 purple jelly beans, and 2 green jelly beans. What is the probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag?
1/15
3/10
7/25
1/4
The probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is 1/15 (option a).
Firstly, we need to determine the total number of jelly beans in both bags.
The first bag contains 15 jelly beans (3+5+2+5) and the second bag contains 10 jelly beans (1+7+2).
Therefore, the total number of jelly beans in both bags is 25.
Next, we need to determine the probability of randomly selecting a blue jelly bean from the first bag.
Since there are 5 blue jelly beans out of a total of 15 jelly beans in the first bag, the probability of selecting a blue jelly bean is 5/15 or 1/3.
After selecting a blue jelly bean from the first bag, we move on to the second bag to select a green jelly bean.
Since there are 2 green jelly beans out of a total of 10 jelly beans in the second bag, the probability of selecting a green jelly bean is 2/10 or 1/5.
To determine the probability of both events occurring, we use the multiplication rule of probability.
Therefore, the probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is (1/3) x (1/5) = 1/15.
Hence, the answer is option (a) 1/15.
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which correctly describes the graph below?
Answer:
B. Non-linear; function
Step-by-step explanation:
The function shown is y = \(\sqrt{x}\). A linear graph would be a straight line. Therefore, this graph is non-linear.
To determine if a graph is a function, you would use the vertical line test. That means that if you were to draw a vertical line through the graph, it would only hit one point, no matter where you drew the line. For this graph to not be a function, this vertical line would have to hit more than one point. As it doesn't, that means that this is a function.
Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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Compare negative one and six tenths repeating and negative five thirds using symbols <, >, or =. negative one and six tenths repeating is less than negative five thirds negative one and six tenths repeating is greater than negative five thirds negative five thirds is equal to negative one and six tenths repeating negative five thirds is greater than negative one and six tenths repeating
Answer:
-1 6/10
is greater than
- 5/3
Step-by-step explanation:
What is the degree of this polynomial below ?
2x^5 + 4x^3 -3x^8
Answer:
8
Step-by-step explanation:
the degree is the highest exponent value
The ratio of the lengths of the sides of â–³ABC is 3:4:6. The perimeter of the triangle whose vertices are the midpoints of the sides of â–³ABC is 13 cm. What are the lengths of the sides of â–³ABC?
The length of the sides of triangle ABC are: 6, 8, and 12.
One of the conditions that two triangles are similar is their Three pairs of corresponding sides are proportional.
In the given problem, the ratio of the sides of triangle ABC is 3 : 4 : 6
Another triangle, let's say triangle DEF, is made with its vertices at midpoints of the sides of triangle ABC.
Hence, all three pairs of corresponding sides have the same proportion.
AB/DE = BC/EF = AC/DF = 1/2
Due to similarity, the ratio of the sides of triangle DEF is also 3 : 4 : 6.
ratio f sides : perimeter = 3 : 4 : 6 : 13
Since its perimeter is 13, it means that the length of sides of triangle DEF are: 3, 4, and 6
Length of the sides of triangle ABC = 2 x length of the sides of Δ DEF
Length of the sides of triangle ABC are: 6, 8, and 12.
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Write 26/100 as a product of a whole number and a unit fraction
Answer:
13/50
Step-by-step explanation:
EXAMPLE 2 Try It! Use the Isosceles Triang
2. What is the value of x?
a.
28°
(5x + 9)°X
The value of x in this isosceles triangle is equal to 23.
What is an isosceles triangle?In Mathematics, an isosceles triangle can be defined as a type of triangle that has two (2) of its sides equal in length and two (2) equal angles. This ultimately implies that, an isosceles triangle comprises two (2) angles and two (2) side lengths that have the same measure or are equal in magnitude.
In every isosceles triangle, there are two sides that are congruent (equal) and the sum of all of the angles are equal to 180 degrees;
(5x + 9)° + 28° + 28° = 180°
5x + 65° = 180°
By subtracting 65 from both sides of the equation, we have the following:
5x = 180 - 65
5x = 115
x = 23.
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