Volume= m3
What is the volume? Help me please. Thanks
Answer: 5.22
Step-by-step explanation:
The apothem = 87 cm = 0.87 m.
Using the formula [tex]A=\frac{1}{2}ap[/tex] to find the area of the base, where a is the apothem and p is the perimeter, we get [tex]A=\frac{1}{2}(0.87)(6)=2.61[/tex]
So, using the formula [tex]V=Bh[/tex], we get the volume to be [tex]2.61(2)=5.22 \text{ m}^{3}[/tex]
Will give brainliest and about 50-100 points if done right!
Answer:
1st = [tex]A. \sf \ y = 1[/tex]
2nd = [tex]D. \ \sf y - 5 = 3(x + 2)[/tex]
PART A
Given: y = -2
This equation has a slope of 0
Equation that pass (-1, 1)
y - 1 = 0(x -(-1))
y = 1
PART B
[tex]\sf Given : y = -\dfrac{1}{3} x + 2[/tex]
Here slope is -1/3 and y-intercept is 2
Perpendicular lines has negatively inverse slope.
→ per. slope = -(slope)⁻¹ = -(-1/3)⁻¹ = 3
Equation in point slope form:
[tex]\sf y - y_1 = m(x - x_1)[/tex]
[tex]\sf y - 5 = 3(x - (-2))[/tex]
[tex]\sf y - 5 = 3(x + 2)[/tex]
Answer:
[tex]y = 1[/tex]
[tex]y-5=3(x+2)[/tex]
Step-by-step explanation:
The line [tex]y = -2[/tex] is a horizontal line.
Therefore, a line that is parallel to the given line and passes through point (-1, 1) is another horizontal line with the y-value of the point.
Therefore, the line is [tex]y = 1[/tex]
----------------------------------------------------------------------------------
Slope-intercept form of a linear equation:
[tex]y=mx+b[/tex]
where:
m is the slopeb is the y-interceptGiven linear equation:
[tex]y=-\dfrac{1}{3}x+2[/tex]
Therefore, the slope of this equation is -1/3.
If two lines are perpendicular to each other, the product of their slopes will be -1. Therefore, the slope (m) of the line perpendicular to the given line is:
[tex]\implies m \cdot -\dfrac{1}{3}=-1[/tex]
[tex]\implies m=3[/tex]
Use the point-slope form of a linear equation, with the found slope and the point (-2, 5) to create the equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-5=3(x-(-2))[/tex]
[tex]\implies y-5=3(x+2)[/tex]
a number is chosen ar random from 1 to 50. find the probaility of selecting multiplies of 3
Answer:
16/50 or 32% chance of getting a multiple of 3
Step-by-step explanation:
Starting at 0 and going to 50, there are 16 numbers in the range that are multiples of 3.
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, and 48
Attached is a chart for reference!
So, 16 of the 50 numbers are multiples of 3, making your odds 16/50 (divide that to get .32 which = 32%!)
step by step explanation:
(multiples of 3)= 3 , 6 ,9, 12 ,15, 18 ,21 ,24, 27, 30, 33, 36 ,39 ,42, 45 and 48
probability (multiples of 3)= nó of required outcome/ nó of possible outcome
16 /50 = 8/25 ( you get this after dividing 16/50)
in percentage 8/ 25 would give you 32%
Determine whether the ordered pair (1, 1) is a solution of the inequality. y ≤ -3x+1
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{(1, 1) is NOT a solution of the inequality}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]y \le-3x + 1[/tex]
Find: [tex]\textsf{Determine if (1, 1) is a solution of the inequality}[/tex]
Solution: In order to determine if (1, 1) is a solution we need to plug in 1 for the x values and 1 for the y values and see if the equation evaluated to true.
Plug in the values
[tex]y \le-3x + 1[/tex][tex]1 \le-3(1) + 1[/tex]Simplify
[tex]1 \le-3 + 1[/tex][tex]1 \le-2[/tex]As we can see the expression states that 1 is less than or equal to -2 which is false therefore (1, 1) is NOT a solution of the inequality.
Hey there!
Keywords and Concepts:Algebra I
Inequality
Ordered pair
How do we determine whether an ordered pair is a solution of a given inequality?Step 1: Define.y ≤ -3x+1
Step 2: Plug in the given values.1 ≤ -3(1) + 1
Step 3: Multiply (Identity Property of 1).1 ≤ -3 + 1
Step 4: Add.1 ≤ -2
Step 5: Validate. Is the statement true?The statement is NOT true as 1 is not less than or equal to -2.
Therefore, the ordered pair is not a solution of the inequality.
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Susan saw birds and mice eating seeds on the ground. She counted 14 heads. 40 legs in total. how many birds and mice are on the ground
Answer:
Birds = 8
Mice = 6
Step-by-step explanation:
Conditions
Let the birds = x
Let the mice = y
Equations
x + y = 14
2x + 4y = 40
Solution
Using the top equation solve for x
x = 14 - y
Use this result to substitue for x
2(14 - y) + 4y = 40
Remove the brackets
28 - 2y + 4y = 40
Combine
28 + 2y = 40
Subtract 28 from both sides
28 - 28 + 2y = 40 - 28
2y = 12
Divide by 2 on both sides
2y/2 = 12/2
y = 6
Solve for x
x + y = 14
x + 6 = 14
Subtract 6 from both sides
x + 6 - 6 = 14 - 6
x = 8
Answer:
7 mice and 7 birds
Step-by-step explanation:
14 heads would mean there are 14 animals in total, as each animal has one head.
Birds have two legs, and mice have four.
2+4=6
40/6=6.67 (recurring)
6.67*2=13.3 (recurring)
6.67*4=26.67 (recurring)
Animal legs can't be in decimal numbers, so we can round the numbers.
13.3 becomes 13, 26.67 becomes 27.
13+27=40
Now we can see that there are 13 bird legs and 27 mice legs.
Divide the bird legs by 2 to get 6.5
Divide the mice legs by 4 to get 6.75
Again, we can't have a decimal of an animal, so we can round.
6.5 becomes 7, and 6.75 also becomes 7.
Therefore, there is 7 of each type of animal.
What is the area of this triangle? Enter your answer in the box. units²
Answer:
10u²
Step-by-step explanation:
The formula for area of a triangle is b*h/2. When you plug in the numbers, you get 10. Hope this helps!
The figure below shows one of the steps used in inscribing a square in a circle.
Answer:
Step-by-step explanation:
Select the correct answer
Answer:
option b is the answer
Step-by-step explanation:
Help me please would help me a lot
Answer:
Step-by-step explanation:
Argument
One of the ways to recognize the domain is that it should be on the x axis of a graph. That lets out A and D. They are both describing the y axis. t = 0 has no meaning with this question.
Answer B
The graphs below have the same shape. What is the equation of the blue
graph?
g(x) =____
f(x) = x² 5
-5
-5
O A. g(x) = (x + 2)²
OB. g(x)=(x-2)²
O c. g(x)²2-2.
OD. g(x)=x² +21
X
g(x) = ?
5
Answer:
B
Step-by-step explanation:
given f(x) then f(x ± a ) is a horizontal translation of f(x)
• if + a , then a shift left of a units
• if - a then a shift right of a units
here g(x) is the graph of f(x) moved 2 units right , then
g(x) = (x - 2)²
A cyclist traveled kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel kilometers, the skater had gone kilometers. Find the speed of the skater.
The speed of skaters was 10 km per hr.
How to solve?
Mathematically, the speed of an object is directly proportional to the distance traveled and inversely proportional to the time taken. In simple words, the more the speed, the distance traveled is more in a short period and vice-versa.
Let the speed of the skater be x
We know, speed = [tex]\frac{Distance}{Time}[/tex]
According to the question:
[tex]\frac{20}{x} = \frac{40}{x + 10}[/tex]
Cross multiplying both sides,
20(x+10) = 40x
20x + 200 = 40x
20x = 200
x = 10
Thus, the speed of skaters was 10 km per hr.
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Stan guessed on all 10 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he got at least 2 questions correct
The probability that he got at least 2 questions correct is 0.756.
Probability is simply how probably something is to appear. every time we're uncertain approximately the final results of an occasion, we can communicate approximately the possibilities of positive outcomes and how in all likelihood they may be. The analysis of occasions ruled through chance is called data.
Basic Probability Rules
For any event A, 0 ≤ P(A) ≤ 1The sum of the probabilities of all possible outcomes is 1The Complement RuleProbabilities Involving Multiple Events.Addition Rule for Disjoint EventsLearn more about probability here https://brainly.com/question/24756209
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the sum of perimeter of two similar polygons is 24cm,and the ratio of their corresponding sides is 1:3, find the perimeter of the larger polygon
Answer:
18
Step-by-step explanation:
Polygon A : Polygon B = x : 3x
4A = 24
A = 6
B = 18
B is the larger polygon so the perimeter is 18.
given the equation P=S1t-S2t which equation is solved for t A. t=p(s1-s2) B. t=p-S1+S2 C. t=p/S1+S2
Answer:
C
Step-by-step explanation:
P = S1t - S2t ← factor out t from each term on the right side
P = t(S1 - S2) ← isolate t by dividing both sides by S1-S2
[tex]\frac{P}{S1-S2}[/tex] = t
Is anyone able to solve this?
The value of ? and X are 24 and 32 respectively
Similarity theorem of a triangleA triangles is 2D shape with three sides and angles.
From the given diagram, the ratio of similar sides is equal to a constant as shown;
15/20 = 9+15/20+x
Cross multiply
15/9+15 = 20/20+x
15/24 = 20/20+x
Comparing with the given ratio
? = 24
X = 20+x
Find x
15(20+x) = 480
300 + 15x = 480
15x = 180
x =12
X = 20 +x
X= 32
Hence the value of ? and X are 24 and 32 respectively
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Will give brainliest.
Answer:
Its a right isosceles triangle
Answer:
right isosceles
Step-by-step explanation:
it has the right at the top
There are four people in the Hayden family.each person always eats 3/4 of a cheese pizza. How whole many pizzas should they order? Solve and draw a picture to match this problem
The family consumes 3 whole pizzas in total. They should order 3 whole pizzas to have enough for everyone.
How did we arrive at the value?To find out how many whole pizzas the Hayden family should order, we can calculate the total number of pizzas they need.
Since each person always eats 3/4 of a pizza, the total amount they eat can be calculated as follows:
3/4 + 3/4 + 3/4 + 3/4 = 4 × (3/4) = 3
So, the family consumes 3 whole pizzas in total. Therefore, they should order 3 whole pizzas to have enough for everyone.
As for the picture, imagine a circle representing a whole pizza. Divide it into four equal parts to represent each person's portion (3/4). Repeat this division three times to represent the three pizzas needed.
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please helpppp!!!!!!!
(3(1) + 9)² - 64
(3 + 9)² - 64
(12)² - 64
= 144 - 64
= 80
(I added the picture needed)
1.Create a sample space and find the product of each combination. What is the probability that a person wins the game? Express your answer as a fraction in lowest terms and as a percent rounded to the nearest tenth.
(answer to this one is 9/28 and 32.1%)
2. You realize a short time into the carnival that you don’t have enough prizes to last the entire event. You call your teacher, and she suggests that you change the winning number so that a participant will win only 25% of the time. What number will that be? Support your answer.
3. Participants achieving a winning score of 36 or higher in four consecutive attempts will receive a large prize! What is the probability of this occurring?
4. After changing the game rules, participants and the crowd are disappointed when the first five games yield scores of 12, 18, 30, 28, and 24. What statement can you recommend the teacher posts to reassure everyone that the game is fair?
Going by the rules of the game to pick a random card and then multiply it by a roll of a number cube, we can find that:
The probability a person wins a game is 3/8 or 37.5%.For a participant to win 25% of the time, they needs to get 32 or higher. The probability of a score of 36 or higher in 4 consecutive attempts is 1/1,1296.Teacher should tell people that just as the lower numbers could be picked, the products that are 32 or higher can be picked as well.What sample space represents the data?If the die is rolled, it will land on a number between 1 and 6 while there are only four cards that can be picked.
The sample space is:
Dice Card Product
1 5 5
1 6 6
1 7 7
1 8 8
2 5 10
2 6 12
2 7 14
2 8 16
3 5 15
3 6 18
3 7 21
3 8 24
4 5 20
4 6 24
4 7 28
4 8 32
5 5 25
5 6 30
5 7 35
5 8 40
6 5 30
6 6 36
6 7 42
6 8 48
Based on the products, we can come up with the following frequency table:
Frequency table
Product Frequency
5 1
6 1
7 1
8 1
10 1
12 1
14 1
16 1
15 1
18 1
21 1
24 2
20 1
28 1
30 2
32 1
25 1
35 1
40 1
36 1
42 1
48 1
Total 24
The frequency table shows that to get 28 or more, a person will have a relative frequency of:
= 1 + 2 + 1 + 1 + 1 + 1 + 1 + 1
= 9
Probability is:
= 9 / 24
= 3/8
= 37.5%
How can a person win only 25% of the time?The number of products required to win 25% of the time is:
= 25% x 24
= 6
To find the winning number, count down from the highest product 6 times to get 32.
What is the probability that a player wins a large prize?The probability of getting 36 or higher is:
= ∑(Probabability of picking 36 and above numbers)
= 1 / 24 + 1/24 + 1/24 + 1/24
= 1 / 6
The probability of repeating this 4 consecutive times is:
= 1 / 6 x 1 / 6 x 1/ 6 x 1 / 6
= 1 / 1,296
= 0.0007716
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Solve for x.
2x² +21x-61 = (x+7)²
Please
Answer:
[tex]x = \frac{-7 +\sqrt{489} }{2}[/tex]
[tex]x = \frac{-7 - \sqrt{489} }{2}[/tex]
Step-by-step explanation:
2x² +21x-61 = (x+7)²
expand
2x² + 21x - 61 = x² + 14x +49
move everything to one side
x² + 7x - 12 = 0
use quadratic formula
[tex]x = \frac{-b +- \sqrt{b^{2}-4ac } }{2a}[/tex]
plug in the values
[tex]x = \frac{-7 +- \sqrt{7^{2}-4(1)(-110) } }{2(1)}[/tex]
solve
[tex]x = \frac{-7 +- \sqrt{49-4(1)(-110) } }{2}[/tex]
[tex]x = \frac{-7 +- \sqrt{49 + 440 } }{2}[/tex]
[tex]x = \frac{-7 +- \sqrt{489} }{2}[/tex]
Please include what axioms and theorems were used as well.
Part (i)
1. ABCD is a quadrilateral in which AD=BC and ∠DAB=∠CBA (given)
2. AB = AB (reflexive property)
3. Triangles ABD and BAC are congruent (SAS)
Part (ii)
4. BD=AC (corresponding sides of congruent triangles are equal)
Part (iii)
5. ∠ABD = ∠BAC (corresponding angles of congruent triangles are equal)
Answer:
Hey!
In △ABD and△BAC,
AD = BC (it's given)
∠DAB = ∠CBA (it's given)
AB = BA (Common)
By SAS congruence rule,
∴△ABD≅△BAC
=> BD = AC (By C.P.C.T) (ii)
And, ∠ABD = ∠BAC (By C.P.C.T) (iii)
Hope it helps, any confusions you may ask.
If the mass of the empty container is 250 grams and the final mass of the container with liquid is 1,300 grams, calculate the mass of the liquid by itself.
Hello!
To find the mass of the liquid by itself, subtract the mass of the container from the mass of the liquid and container.
⇒ 1,300 - 250
⇒ 1,050 grams
∴ The mass of the liquid by itself is 1,050 grams.
To graph the inequality y> 5x - 4, you would draw a solid line.
A. True
B. False
Answer:
The answer is B
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
y > 5x-4
This inequality is greater than, so it would be a dotted line
You would have a solid line when it is greater than or equal to ≥ or less than or equal to ≤
One factor of f (x ) = 4 x cubed minus 4 x squared minus 16 x + 16 is (x – 2). What are all the roots of the function? Use the Remainder Theorem.
[tex]f(x) =4 x {}^{3} - 4x {}^{2} - 16x + 16[/tex]
[tex]divide \: by \: x - 2[/tex]
[tex]4x {}^{2} \: into \: (x - 2) = 4x {}^{3} - 8x {}^{2} [/tex]
[tex]g(x) = 4x {}^{2} - 16x + 16[/tex]
[tex]4x \: into \: (x - 2) = 4x {}^{2} - 8x[/tex]
[tex]z(x) = - 8x + 16[/tex]
[tex] - 8 \: into \: (x - 2) = - 8x + 16 \\ no \: remainder[/tex]
[tex]f(x) = (x - 2)(4x {}^{2} + 4x - 8)[/tex]
[tex]f(x) = 0 \\ x - 2 = 0 \: \: \: \: \: \: \: \: \: 4x {}^{2} + 4x - 8 = 0 \\ [/tex]
[tex]x = \frac{ - 4 + \sqrt{4 {}^{2} - 4(4)( - 8) } }{2(4)} = \frac{ - 4 + \sqrt{144} }{8} = \frac{ - 4 + 12}{8} = 1[/tex]
[tex]x = 2[/tex]
[tex]x = \frac{ - 4 - 12}{8} = \frac{ - 16}{8} = - 2[/tex]
Answer: B
Step-by-step explanation:
Edge 2023
Which is the graph of the cube root function f(x) = RootIndex 3 StartRoot x EndRoot?
The graph of a function f(x) = ∛x is shown in the picture, and the domain of the function will be all real numbers.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a function:
f(x) = ∛x
The domain of the function will be all real numbers.
x ∈(-∞, ∞)
The graph will be curved.
Plug x = 0, y = 0
x = 1, y = 1
The graph is shown in the attached picture.
Thus, the graph of a function f(x) = ∛x is shown in the picture, and the domain of the function will be all real numbers.
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Which irrational number can be multiplied by –StartRoot 41 EndRoot to get a product that equals 1?
StartRoot StartFraction 1 Over 41 EndFraction EndRoot
Negative StartRoot 41 EndRoot
Negative StartRoot StartFraction 1 Over 41 EndFraction EndRoot
StartRoot 41 EndRoot
The irrational number that can be multiplied to produce 1 is - √41/41
Irrational numbersLet the following expression
-√41 x = 1
We are to find the value of x that will make the expression true
√41 x = -1
Divide both sides by √41
√41 x/ √41 = -1/ √41
x = - √41/41
Hence the irrational number that can be multiplied to produce 1 is - √41/41
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prove that: (1 +tantheta)^2 + (1 - tantheta)^2 = Sec^2 theta pls answer and God will bless u
Answer:
Step-by-step explanation:
[tex]=(1 +tan\theta)^2 + (1 - tan\theta)^2\\=(1+2tan\theta+tan^2\theta)+(1-2tan\theta+tan^2\theta)\\=2(1+tan^2\theta)\\=2sec^2\theta.\\[/tex]
A mini-golf course is determining the par score for each of its holes. the dot plot shows the number of strokes required to place a ball in the ninth hole for a sample of 31 players. a number line going from 1 to 9. 2 dots are above 1. 3 dots are above 2. 4 dots are above 3. 5 dots are above 4. 5 dots are above 5. 3 dots are above 6. 2 dots are above 7. 0 dots are above 8. 1 dot is above 9. which measure of center is best to use to determine the expected number of strokes required for the ninth hole?
The mean is the best central tendency to measure the expected number of strokes required for the ninth hole.
What is mean?
In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally.
The three most frequently employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean.
Why mean is the best choice in this case?
Since it considers all of the data in relation to one another, the mean is an effective indicator of central tendency. When there are outliers (extreme values) in the data, for example, the mean is a poor measurement; in this situation, the median is preferable.
The data set is roughly symmetrical in the scenario described in the question, so the mean is the most-suited central tendency measure to employ here.
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Answer:
The mean is the best choice because the data is nearly symmetrical.
Two different numbers are selected simultaneously and at random from the set {1,2,3,4,5,6,7,8,9,10}. What is the probability that the positive difference between the two numbers is 3 or greater
The probability of getting positive difference between the numbers 3 or greater between 1,2,3,4,5,6,7,8,9,10 if two numbers are selected is 28/45.
Given Numbers:{ 1,2,3,4,5,6,7,8,9,10}
We have to find the probability that the positive difference between the numbers selected is 3 or greater.
Probability is the likelihood of happening an event among all the events possible.
Total number of combinations when two numbers are selected from 10 numbers is 10 C 2=10!/2!(10-2)!
=10*9*8!/2*1(8!)
=10*9/2
=45 combinations
Combinations of numbers whose difference will be 3 or more are: (10,7),(10,6),(10,5),(10,4)(10,3)(10,2)(10,1)(9,6)(9,5)(9,4)(9,3)(9,2)(9,1)(8,5)(8,4)(8,3)(8,2)(8,1)(7,4)(7,3)(7,2)(7,1)(6,3)(6,2)(6,1)(5,2)(5,1)(4,1)
Total numbers =28
Probability=numbers/total combinations
=28/45
Hence the probability that two numbers selected gives difference of 3 or more is 28/45.
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The population of a small town is decreasing exponentially at a rate of 14.3% each year. The current population is 9,400 people. The town's tax status will change once the population is below 6,000 people.
Create an inequality that can be used to determine after how many years, t, the town's tax status will change, and use it to answer the question below.
Will the town's tax status change within the next 3 years?
Using an exponential function, the inequality is given as follows:
[tex]9400(0.857)^t < 6000[/tex]
The solution is t > 2.9, hence the tax status will change within the next 3 years.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.For this problem, the parameters are given as follows:
A(0) = 9400, r = 0.143.
The population after t years is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = 9400(1 - 0.143)^t[/tex]
[tex]A(t) = 9400(0.857)^t[/tex]
The tax status will change when:
[tex]A(t) < 6000[/tex]
Hence the inequality is:
[tex]9400(0.857)^t < 6000[/tex]
Then:
[tex](0.857)^t < \frac{6000}{9400}[/tex]
[tex]\log{(0.857)^t} < \log{\left(\frac{6000}{9400}\right)}[/tex]
[tex]t\log{0.857} < \log{\left(\frac{6000}{9400}\right)}[/tex]
Since both logs are negative:
[tex]t > \frac{\log{\left(\frac{6000}{9400}\right)}}{\log{0.857}}[/tex]
t > 2.9.
The solution is t > 2.9, hence the tax status will change within the next 3 years.
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