Answer:
600.1 m³
Step-by-step explanation:
V = (1/3)πr²h
V = (1/3)(3.14159)(6.1 m)²(15.4 m)
V = 600.1 m³
Crisp in bought a case of concert t shirt for $550 he kept one t shirt for himself and sold the rest for $720 making profit of $8 on each shirt how many T-shirt were in the case?
Change the word phrase to an algebraic expression. The difference between three times a number and three
Answer: 3x-3
Step-by-step explanation: Let's express "a number" by the variable x.
The symbol for "three times a number" is 3x.
"The difference between a number of times three and three" can be expressed mathematically as:
"3x - 3".
Use the distributive property to rewrite this expression in simplest form 6(n+5).
A
6n + 30
B
30n
C
36n
Answer:
6n+30
Step-by-step explanation:
Step 1:
Multiply 6 and n
6nStep 2:
Multiply 6 and 5
30Step 3:
Put together!
6n+30have a great day and thx for your inquiry :)
Answer:
the answer is A
Step-by-step explanation:
distributive property states
a(b+c)=ab+ac
therefore
6(n+5)=6n+30
using 0-9 as digits,
which 2 digit number has order rotational of 2
which 3 digit number also has order rotational of 2
The value of 2 digit number has order rotational of 2 is, 16
And, The value of 3 digit number has order rotational of 2 is, 931
Now, For a two-digit number with an order rotational of 2, it means that if you flip the digits, you get a different but still valid number.
Hence, There are a few such numbers, but one example is 16 which becomes 61 when you flip the digits.
And, For a three-digit number with an order rotational of 2, it means that if you rotate the digits, you get a different but still valid number.
And, There are also a few such numbers, but one example is 319 which becomes 931 when you rotate the digits.
Thus, The value of 2 digit number has order rotational of 2 is, 16
And, The value of 3 digit number has order rotational of 2 is, 931
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A bucket contains the following vegetables: 1 squash, 2 carrots, 4 heads of broccoli, 2 artichokes and 5 green beans. Ronnie picks a vegetable at random and does not replace it. Then Sydney picks a vegetable at random. What is the probability that Ronnie gets a carrot and Sydney gets a green bean?
The probability that Ronnie gets a carrot and Sydney gets a green bean is 0.53.
Given that, q bucket contains the following vegetables 1 squash, 2 carrots, 4 heads of broccoli, 2 artichokes and 5 green beans.
Total number of vegetables = 1+2+4+2+5
= 14
The probability that Ronnie gets a carrot = 2/14
= 1/7
The probability that Sydney gets a green bean = 5/13
Here, the probability of a event = 1/7 + 5/13
= (13+35)/91
= 48/91
= 0.53
Therefore, the probability that Ronnie gets a carrot and Sydney gets a green bean is 0.53.
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Find the volume of a pyramid with a square base, where the perimeter of the base is 8.7 cm and the height of the pyramid is 6.3 cm. Round your answer to the nearest tenth of a cubic centimeter.
The volume of the square pyramid is approximately 10 cm³.
Given that a pyramid with a square base, where the perimeter of the base is 8.7 cm and the height of the pyramid is 6.3 cm.
We need to find the volume of the pyramid,
Since, the perimeter = 8.7
therefore,
4a = 8.7
a = 2.175
So,
The volume of a square pyramid = side² × height / 3
= 2.175²×6.3/3
= 9.93 ≈ 10 cm³
Hence, the volume of the square pyramid is approximately 10 cm³.
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The square pyramid has a volume of around 10 cm3.
Given that the height of the pyramid is 6.3 cm and the base's perimeter is 8.7 cm, a pyramid with a square base is there.
We must determine the pyramid's volume.
As a result, the perimeter is 8.7.
therefore,
4a = 8.7
a = 2.175
So,
A square pyramid's volume is equal to side2 height / 3.
= 2.175²×6.3/3
= 9.93 ≈ 10 cm³
Consequently, the square pyramid's volume is roughly 10 cm3 in size.
3. Which of the following has the greatest
value?
A) 20-(-20)
B) -16-17 +31
C) 18-15+27
D) -20+10 +10
E) -4(3)(-2)
The expression that has the greatest value is A) 20-(-20).
How can the greatest value be known?Based on the given expressions, we can known the greatest value by testing them one after the other then any value that have the highest number among the option will be the epression tht posses the greatest value which is the answe we are looking for.
The first option;
20-(-20) = 40
The second option;
-16-17 +31 = -2
The third option;
18-15+27 = 30
The fourth option;
-20+10 +10 = 0
The fifth option;
-4(3)(-2) = 24
Therefore, based on the calculation above we can see that the greatest value is 40, hence option A is correct.
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Identify the conic basic of x^2+xy+y^2+2x= -3
Answer:
The conic section basis of the equation x^2 + xy + y^2 + 2x = -3 can be determined by examining the coefficients of the x^2, xy, and y^2 terms.
To do this, we can start by completing the square for the quadratic terms in the equation:
x^2 + xy + y^2 + 2x = -3
(x^2 + 2x) + xy + y^2 = -3
(x + 1)^2 - 1 + xy + y^2 = -3
(x + 1)^2 + xy + y^2 = -2
Now, we can see that the coefficient of the xy term is positive, which indicates that the conic section is an ellipse. Specifically, this is a rotated ellipse because the x and y terms are not squared separately and have a non-zero coefficient.
Therefore, the conic section basis of the equation x^2 + xy + y^2 + 2x = -3 is a rotated ellipse.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The given equation is:
x^2 + xy + y^2 + 2x = -3
To identify the conic basic of the equation, we need to check its discriminant, which is given by:
Δ = B^2 - 4AC
where A, B, and C are the coefficients of x^2, xy, and y^2 terms respectively.
In this case, A = 1, B = 1, and C = 1.
So,
Δ = B^2 - 4AC
= 1^2 - 4(1)(1)
= -3
Since the discriminant is negative, the given equation represents an ellipse.
Find the probability of A & B
The probability of both getting a heart card and a red heart card is 1/4.
Given that there is a deck of 52-cards, we need to find the probability of getting a heart cards,
Probability shows how likely an event will happen.
P(E) = n(E) /n(S).
n(E) = Number of favorable outcomes of E.
n(S) = total number of possible outcomes of E.
No. of heart cards = 13
n(E) = 13
P (getting a card of heart) = no. of favorable outcomes/total no. of possible outcomes of E
= 13/52
= 1/4
Since heart card is red that means there are 13 heart cards which is red in color.
So, the probability of getting a red heart card = 13/52 = 1/4
Hence the probability of both getting a heart card and a red heart card is 1/4.
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Need some help with not to sure how to do it
The excluded points for the function are; x = -2 and x = 9
What are the excluded values of a function?The excluded values of a function are the values of the independent variable (usually denoted as "x") that would make the function undefined. In other words, the excluded values are the values that the independent variable cannot take on in order for the function to be well-defined.
We have that;
[tex]x^2 - 9x/x^2 - 7x - 18[/tex]
When we factor the denominator we have that;
[tex]( x + 2) (x - 9)[/tex]
Thus the points of discontinuity are x = -2 and x = 9
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A vendor at a carnival sells cotton candy and caramel apples for $3 each. The vendor is charged $275 to set up his booth. Furthermore, the vendor's average
cost for each product he produces is approximately $0.25.
(a) Write a linear cost function representing the cost C(x) (in S) to the vendor to produce x products.
(b) Write a linear revenue function representing the revenue R (x) (in S) for selling x products.
(c) Determine the number of products to be produced and sold for the vendor to break even.
(d) If 40 products are sold, will the vendor make money or lose money?
Part: 0 / 4
Part 1 of 4
(a) The linear cost function representing the cost is C(x)=
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The fixed cost is $275, and the variable cost for each product is $0.25.
The cost function can be written as: C(x) = 275 + 0.25x
How to solve(a) The linear cost function representing the cost C(x) (in $) to the vendor to produce x products can be determined by considering both the fixed cost (booth setup) and the variable cost (cost per product).
The fixed cost is $275, and the variable cost for each product is $0.25.
Therefore, the cost function can be written as:
C(x) = 275 + 0.25x
b. (b) R(x) = 3x, where x is the number of products sold and R(x) is the revenue in dollars.
(c) To break even, the cost must equal the revenue: 0.25x + 275 = 3x. Solving for x, we get x = 137.5. The vendor must produce and sell 138 products to break even.
(d) If 40 products are sold, the cost is C(40) = 0.25(40) + 275 = $285, and revenue is R(40) = 3(40) = $120. The vendor will lose money, as the cost is greater than the revenue.
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4. The surface area of a cube is 486 in. Find the volume inside the cube but outside of
an inscribed sphere. Round to the nearest tenth.
The volume inside the cube but outside of an inscribed sphere is 231.6 cubic inches
Finding the volume inside the cube but outside of an inscribed sphere.From the question, we have the following parameters that can be used in our computation:
Cube volume = 486
This means that the side length of the cube is
l³ = 486
So, we have
l = 7.86
This represents the diameter of the sphere
So, the sphere volume is
V = 4/3πr³
So, we have
V = 4/3 * 22/7 * (7.86/2)³
Evaluate
V = 254.36
So, the required volume is
Volume = 486 - 254.36
Evaluate
Volume = 231.64
Approximate
Volume = 231.6
Hence, the volume inside the cube but outside of an inscribed sphere is 231.6 cubic inches
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There are 3 sets of balls numbered 1
through 8 placed in a bowl. If 3 balls are randomly chosen without replacement, find the probability that the balls have the same number. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Using the hypergeometric distribution, it is found that there is a 0.19704% probability that the balls have the same number.
The balls are chosen without replacement, hence, the hypergeometric distribution is used.
Hypergeometric distribution:
P (X = x) = h (x, N, n, k)
= [tex]\frac{C_{k, x} C_{n - k, n - k} }{C_{N, n} }[/tex]
[tex]C_{n, x} = \frac{n!}{x!(n - x)!}[/tex]
The parameters are:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
In this problem:
There are 3 balls, hence .
For each number, there are 3 balls, hence .
3 balls are selected, hence .
For each ball, the probability is P(X = 3). There are 8 balls, hence we have to find 8P(X = 3).
P (X = x) = h (x, N, n, k)
= [tex]\frac{C_{k, x} C_{n - k, n - k} }{C_{N, n} }[/tex]
P (X = 3) = h (3, 30, 3, 3) = 0.0002463
0.0002463 x 8 = 0.0019704
0.0019704 = 0.19704% probability that the balls have the same number.
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Write the equation of the line that is parallel to x - 2 = 0 and passes through point (1, -2).
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]x-2=0\implies x=2\impliedby \textit{vertical line, }\underline{und efined~slope}[/tex]
Check the picture below.
can some pleas help with this
The domain of the function from the given graph is [-4, 4]. Therefore, option A is the correct answer.
Domain = the set of all x-coordinates.
From the given graph, the zeros are (-4, 0) and (4, 0),
So, the domain of values are {-4, -3, -2, -1, 0, 1, 2, 3, 4}
Interval notation -4≥x≤4
Therefore, option A is the correct answer.
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2x+=-x² +8 x+22²2² 2 Consider the expression: 1.1.1 How many terms are in the expression? 1.1.2 Write down the coefficient of x³. 1.1.3 What is the degree of the expression? 1.1.4 Give the value of the constant term. 1.1.5 What type of polynomial is the expression?
The value of coefficient of x³ is,
⇒ 2
The value of degree of the expression is,
⇒ 3
The value of constant term is,
⇒ 22
The polynomial is the expression of third degree.
Given that;
Expression is,
⇒ 2x³ - x² + 8x + 22
Now, We get;
There are 4 terms in the expression,
And, The value of coefficient of x³ is,
⇒ 2
The value of degree of the expression is,
⇒ 3
The value of constant term is,
⇒ 22
And, The polynomial is the expression of third degree.
Thus, The value of coefficient of x³ is,
⇒ 2
The value of degree of the expression is,
⇒ 3
The value of constant term is,
⇒ 22
The polynomial is the expression of third degree.
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Assume that the distributions for the following scenarios are normal. Use the normal standard table to find the following probabilities. Round z
-scores to the nearest hundredth.
The average score on a math test is 75
with a standard deviation of 8
. What is the probability that a randomly selected test has a score of 90
or higher?
P(z
Answer
Answer
)=
Answer
The life of a gas grill is 3.5
years with a standard deviation 0.35
years. What is the probability that the grill will last less than 3
years?
P(z
Answer
Answer
)=
Answer
Ambulance response times average 7.5 minutes with a standard deviation of 2.5. What is the probability that an ambulance will respond within 6 to 8 minutes.
P(
Answer
Answer
z
Answer
Answer
)=
Answer
Answer: y=2+6
Step-by-step explanation:
Part B
-4 -3
Part A
-2
Part C
T
1) Part A
-2
-3
Part D
Which part of the graph best represents the solution set to the system of
inequalities y 2 x + 1 and y + xs-1? (5 points)
Part C is best represents the solution set to the system of inequalities .
Given that;
1st equation is,
⇒ y ≤ x + 1
And, 2nd equation is,
y + x ≤ –1
y ≤ -x -1
Since, 1st equation represent Part C and Part D region.
And, 2nd equation represent Part B and Part C region.
Thus, Part C is common among those.
So, Part C is best represents the solution set to the system of inequalities .
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Aura took three biology exams and has an average score of 87. Her second exam score was 8 points better than her first, and her third exam score was 2 points better then her second exam. What were her three exam scores?
Answer:
81, 89, 91
Step-by-step explanation:
You want to know Aura's three exam scores if their average was 87, the second was 8 point higher than the first, and the third was 2 points higher than the second.
ScoreLet x represent the first exam score. Then x+8 and x+10 will be the other two scores. Their average is ...
(x +(x +8) +(x +10))/3 = 87
x +6 = 87 . . . . . . . . simplify
x = 81 . . . . . . . . subtract 6
x +8 = 89
x +10 = 91
Aura's three exam scores were 81, 89, and 91.
<95141404393>
Will give brainliest if correct.
Answer:
B. Triangle A and B
Step-by-step explanation:
How is the graph below misleading? What would you do to fix it?
They can improve their graph by doing the following ; Tips:
1. They should show which one represents 100% as a key
2. The height of the books compared to the percentages are not accurate
3. To simplify the graph, their should be a stack of books for each individual year
Which of the following lines does not intersect
A.
y=-3x-7
B.
y = 3x + 7
y=-3x+7?
C. y = 3x - 7
1
D.
y = 3x
Answer:
D
Step-by-step explanation:
The line in option D, y = 3x, does not intersect with any of the other lines.
To see this, we can first note that options A and B have slopes of -3 and 3, respectively, which means they are parallel lines. Therefore, they will never intersect.
Option C has a slope of 3 as well, but its y-intercept is -7, which is different from the y-intercept of line B, which is 7. This means that these two lines are not parallel and will intersect at some point.
On the other hand, line D has a slope of 3 and a y-intercept of 0 (since there is no constant term), which means it passes through the origin. Therefore, it will not intersect with any of the other lines unless one of the other lines also passes through the origin, which is not the case here.
Therefore, the line that does not intersect with any of the other lines is option D, y = 3x.
Answer: B. y = 3x + 7 and y = -3x + 7 are parallel lines, so they do not intersect.
Step-by-step explanation:
Two lines in a plane may intersect at a point, be parallel, or be coincident (overlapping). To determine which of the given lines do not intersect, we need to find the slope of each line and check for parallelism.
The slope-intercept form of a line is given by y = mx + b, where m is the slope and b is the y-intercept. Therefore, we can write the equations of the given lines in slope-intercept form as follows:
A. y = -3x - 7 (slope m = -3)
B. y = 3x + 7 (slope m = 3)
C. y = 3x - 7 (slope m = 3)
D. y = 3x (slope m = 3)
From the slopes, we can see that lines B and C have the same slope of 3, so they are parallel. Therefore, they do not intersect at any point in the plane. Lines A and D have different slopes, so they are not parallel and will intersect at some point in the plane.
solve for x. -8x+44>_60 and -4x+50<58
Answer: x = -2.
Step-by-step explanation:
-8x + 44 ≥ 60
Subtracting 44 from both sides, we get:
-8x ≥ 16
Dividing both sides by -8 (and reversing the inequality since we are dividing by a negative number), we get:
x ≤ -2
Next:
-4x + 50 < 58
Subtracting 50 from both sides, we get:
-4x < 8
Dividing both sides by -4 (and reversing the inequality), we get:
x > -2
Putting the two inequalities together, we get:
-2 < x ≤ -2
This means that the solution for x is x = -2.
would like some help asap
Answer:
A. one solution
Step-by-step explanation:
The only solution was negative one half
A bag consists of 3 marbles. There is 1 purple marble, 1 red marble, and 1 blue marble. Which table shows the sample space for choosing 2 marbles from the bag with replacement?
Purple Red Blue
Purple Purple Purple Purple
Red Red Red Red
Blue Blue Blue Blue
Purple Red Blue
Purple Purple, Purple Red, Purple Blue, Purple
Red Purple, Red Red, Red Blue, Red
Blue Purple, Blue Red, Blue Blue, Blue
Purple Red Blue
Purple Purple, Purple Purple, Red Red, Blue
Purple Red, Purple Purple, Red Red, Blue
Purple Red Blue
Purple Purple Red, Purple Blue, Purple
Red Purple, Red Red Blue, Red
Blue Purple, Blue Red, Blue Blue
The sample space for choosing 2 marbles from the bag with replacement
Purple Red Blue
Purple Purple, Purple Purple, Red Red, Blue
Purple Red, Purple Purple, Red Red, Blue
(option c)
To find the sample space, we need to list all possible outcomes. Since we are choosing two marbles, we can have three possible outcomes for the first marble: purple, red, or blue. Similarly, we can also have three possible outcomes for the second marble.
To construct the sample space, we need to list all possible pairs of the first and second marbles. Since we are choosing two marbles, the total number of pairs will be the product of the number of outcomes for each marble. In this case, we have three outcomes for each marble, so the total number of pairs will be:
3 x 3 = 9
Therefore, there are nine possible pairs of marbles that we can select from the bag with replacement. To represent the sample space in a table, we can list all possible pairs of marbles as follows:
Purple Red Blue
Purple Purple Purple
Purple Red Blue
Red Purple Red
Red Red Red
Blue Blue Blue
Blue Red Purple
Blue Red Blue
Purple Blue Red
Purple Blue Blue
Hence the correct option is (c).
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Two people are planning their wedding. For the reception, they found the the cost C for 50 guests, g is $2150 whereas the cost for 75 guests is $3025. Calculate the slope to find the cost per guest?
The slope which shows the cost per guest is $35 per guest
The given cost for 50 guests is $2150.
The cost for 75 guests is $3025.
It can also be represented as:
(Guest, Cost) =(50, $2150) & (75, $3025)
The slope can now be calculated as
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (50, $2150) & (75, $3025)
Substituting the given values in the equation as follows:
Slope = (3025 - 2150)/(75 - 50)
Slope = 35
Hence, the slope is $35 per guest.
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A survey in 2021 found that 68% of students prefer to take some of their courses fully online. If three students are selected at random, find the probability that all three prefer to take some of their courses fully online.
Will give brainly! Thank you!
Answer:
ΑΠSШЕЯ®
Step-by-step explanation:
The probability that all three students prefer to take some of their courses fully online can be found by multiplying the probabilities of each event together. Since each student has a 68% chance of preferring fully online courses, the probability that the first student prefers fully online courses is 0.68, the probability that the second student prefers fully online courses given that the first student does is also 0.68, and the probability that the third student prefers fully online courses given that the first two students do is also 0.68. Therefore, the probability that all three students prefer to take some of their courses fully online is 0.68 x 0.68 x 0.68 = 0.314. The probability is approximately 0.314 or 31.4%.
Can anyone help with this question? It would really help a lot
Answer:
10. -3(y+1)
The coefficients in this polynomial are -3 and 0 (for the constant term). The
sum of these coefficients is -3+0=-3.
11. 5x(3x²-4)
The coefficients in this polynomial are
15, 0, and -20 (for the constant term).
The sum of these coefficients is 15 +0
-20=-5.
12. 7(-2m²+5m+6)
The coefficients in this polynomial are
-14, 35, and 42 (for the constant term). The sum of these coefficients is -14 +
35+ 42 = 63.
13. (x+1)(3x-4)
The coefficients in this polynomial are 3, -1, and 0 (for the constant term). The sum of these coefficients is 3-1+0= 2.
14.
(-2z+5z)(-4x-8)
The coefficients in this polynomial are 8 and 32 (for the constant term). The sum of these coefficients is 8+32= 40.
15. (9x+5)(-4x-8+10x)
The coefficients in this polynomial are -36, 38, and -40 (for the constant term). The sum of these coefficients is -36+38-40 = -38
Step-by-step explanation:
can someone please help with 13 or 14 or both please
[tex]Ans\ 13: \{(d)\ (f\circ g)(1)=26\}\\\\(f\circ g)(1)=f(g(1))\\\\g(1)=3(1)+2=5\\\\\therefore (f\circ g)(1)=f(g(1))=f(5)\\\\\implies (f\circ g)(1)=26\ (i.e.\ 25+5-4)\\\\\hrule \ \\\\Ans\ Q14: \{(e)\ (f+g)(3) = 20\}\\\\(f+g)(3)=f(3)+g(3)\\\\\implies (f+g)(3)=(9+3)+(9-1)\\\\=20[/tex]
Which expression is a factored form of 816² - 25c²?
The factored form of the expression 816² - 25c² is 816 + 5c )( 816 - 5c).
What is the factored form of the expression?Given the expression in the question:
816² - 25c²
To factor 816² - 25c², we the:
a² - b² = (a + b)(a - b)
Written as the product of two factors
Since both terms are perfect squares
a = 816
b = 5c
Hence, plugging into the formula:
a² - b² = (a + b)(a - b)
816² - 25c² = ( 816 + 5c )( 816 - 5c)
Therefore, the factored form is ( 816 + 5c )( 816 - 5c ).
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