a. what is the height of the diving board
b. what is the maximum height of the diver
c. describe where the diver is ascending and where the diver is descending
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Related Questions
At a wedding reception, an equal number of guests were seated at 12 round tables. The 13 people in the wedding party were seated at a rectangular table. There were 121 people at the reception altogether. Which equation could you use to find the number of guests, n, seated at each round table?
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-13 from both sides
12n = 108
÷12 from both sides
n=9
Find the extraneous solution of the equation |2x−10|=−3x
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Open absolute value symbol
2x - 10 = 3x
OR
2x - 10 = -3x
x = -10
OR
x = 2
Plug them in...
|2(-10) - 10| = -3(-10)
30 = 30
x = -10 is not the extraneous solution.
|2(2) - 10| = -3(2)
6 ≠ -6
x=2 is the extraneous solution.
Have an awesome day! :)
For the equation |2x−10|=−3x, the absolute value cannot be negative, therefore there is no valid solution. Any solution derived would be considered an extraneous solution. Extraneous solutions are those that appear during the solving process but are not valid.
Explanation:The given equation is a mathematical expression |2x−10|=−3x. However, it should be noted that the absolute value of a number cannot be negative, so technically, there is no solution to this equation. This means the equation doesn't have a valid solution, but rather an extraneous solution.
An extraneous solution often arises in the process of solving an equation but is not a true solution. They often appear when you square both sides of an equation, as this often introduces new solutions that weren't part of the original equation.
So, in this case, since the absolute value can not be negative, it is impossible for |2x - 10| to be equal to -3x. Hence, any solution derived from this equation would be considered an extraneous solution.
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Determine the amount potential energy of 5.0kg book that is moved to three different shelves on a bookcase. The height of each Shelf is 1.0 m, 1.5
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m=5kg
g=10ms-²
h=1 + 1.5 + (you didn't specify the third shelf height) i assume it is 2m
so total = 1+1.5+2= 4.5
p. e = 5×10×4.5 = 225joules
Use multiplication to solve the proportion. Y/9=44/54. What is Y
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9(Y/9)=9(44/54)
Y=7 1/3 or 22/3
To solve the given proportion using multiplication, cross-multiply by multiplying the numerators and denominators, and then divide to find the value of Y, which is approximately 7.33.
Explanation:In mathematics, a proportion is an equation stating that two ratios are equal. It expresses the relationship between quantities. For example, if a/b = c/d, where b and d are not zero, it forms a proportion.
To solve the proportion Y/9 = 44/54 using multiplication, we can cross-multiply.
Multiply 9 by 44 and then divide by 54 to find Y
9 * 44 = 396
396 / 54 = 7.33
So, Y is approximately 7.33
What do the numbers listed for an element on the periodic table represent?
The smaller number is the mass, and the greater number is the atomic number.
The smaller number is the number of protons, and the greater number is the mass.
The smaller number is the number of neutrons, and the greater number is the number of electrons.
The smaller number is the number of neutrons, and protons and the greater number is the number of electrons.
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Answer:
The smaller number is the atomic number or the number of protons and the larger number is the atomic mass.
Explained:
The number with a lower value is the number of protons and the number with a higher value is the mass.
The periodic table is a tabular arrangement of the chemical elements, ordered by their atomic number (number of protons), electron configurations, and recurring chemical properties.
The correct answer between all the choices given is the first choice or letter A. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.
In a class of 160 students, 90 are taking math, 78 are taking science, and 62 are taking both math and science. What is the probability of randomly choosing a student who is taking only math
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The probability of choosing a student who is taking only math from a class of 160 students, with 90 taking math and 62 taking both math and science, is 0.175.
The question asks for the probability of randomly choosing a student who is taking only math in a class of 160 students, where 90 are taking math, 78 are taking science, and 62 are taking both math and science. To find the number of students taking only math, subtract the number of students taking both subjects from the total number taking math (90 - 62 = 28). The probability is then the number of students taking only math divided by the total number of students, which is 28/160.
The probability can be calculated as 28 divided by 160, or 0.175.
If 1 liter = 1.057 quarts, how many quarts are in 1 kiloliter?
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If 2 and 4 each divide q without remainder which of the following must q divide without remainder
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Is it possible to divide 15 by a mixed number an get a quotient greater than 15
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how do i write a direct variation given that y varies directly with x
x: 15 y: -5
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More generally, though, you'll have something of the form y = kx, where the variable k here is referred to as the constant of proportionality. Another way you can think of k is as the ratio of y to x.
In this problem, you're given a set of values for x and y, and you'll need to use those to find the constant of proportionality before you set up an equation relating x to y. Substituting our general equation y = kx for the given values, we have:
-5 = k(15)
To get k, simply divide both sides by 15 to obtain:
k = -5/15 = -1/3
So, our general equation, for any x, would be y = (-1/3)x
Monisha and Dave each sold more magazine subscriptions as part of a fundraiser Monisha rays have as much money as the rays together the race $213.75 what is the total amount of money the money she has raised
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Dave = x
x + (x/2) = 213.75
1. Solve for x.
2. Evaluate x/2 to find the total amount raised by Monisha.
Take it from here.
GCF 6x and 20xyz please help
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The Greatest Common Factor (GCF) of 6x and 20xyz is determined by factorizing both terms and finding the common factors. Through this process, we find that 2x is the GCF.
Explanation:The question is asking for the Greatest Common Factor (GCF) of 6x and 20xyz. The GCF is the largest number or terms that divide both numbers exactly. To find the GCF, we usually list all the factors and select the largest one that is common to both. Let's break down the terms:
Write down the factorizations of each term, i.e., 6x= 2*3*x and 20xyz = 2*2*5*x*y*z.Find the common factors. In this case, we have 2 and x in common.2*x = 2x, so 2x is the GCF.Therefore, the greatest common factor of 6x and 20xyz is 2x.
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SungHee empties her piggy bank and finds that she has 200 quaters,150 dimes,and 300 pennies.How much money does she have?Explain
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thats what i got.
The amount of money left in Alma’s bank account is expressed by the linear equation y = -27x + 577, where x represents the number of weeks and y represents the amount of money left in her account. After how many weeks will Alma have $145 left in her account?
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Answer:
16
Step-by-step explanation:
Answer:
B: 16 weeks
Step-by-step explanation:
If we are given the equation y = -27x + 577 and that
x = weeks
y = money left in account
Then you must replace 145 (the money) for y and solve for x (the weeks)
145 = -27x + 577
145 - 577 = -27x + 577 - 577
-432 = -27x
-432/-27 = -27x/-27
16 = x
This means that after 16 weeks Alma will have $145 left in her account
Hope this helped!
Shana uses a probability simulator to pull colored stars from a bag 60 times and to flip a coin 60 times. The results are shown in the tables below:
Color of Star
Number of Times Pulled
Pink
17
Yellow
19
Violet
24
Heads 26
Tails 34
Using Shana's simulation, what is the probability of pulling a pink star and the coin landing on tails?
fraction 578 over 3,600
fraction 646 over 3,600
fraction 34 over 60
fraction 51 over 60
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So I think it is A.
Hope I helped you (:
Sara is multiplying two factors,one with one decimal place and one with two decimal places.She says that the product could have two decimal places. is she correct?
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Bella uses 56 beats to create a necklace.she wants to make 23 necklaces for a craft show. unfortunately,she was 15 beads short and cannot finish the last necklace.how many beads did she start with?
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Find the length of XZ
geometry help
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to solves the equation first subraxt (5/2)x from both sides and you wnd up with -0.5x = -5 then divide by -0.5 to get x = 10
hope this helped!
Solve for x: |2x + 6| − 4 = 20
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2x+6 =16 or 2x+6 = -16
2x=10 or 2x= 22
x= 5 or x=11
Fifteen children voted their favorite color. The votes for red and blue together were double the votes for green and yellow together.How did the children vote?
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When is A divided by B equal to an integer? Explain please.
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However, I'll guess and suggest B.
Not sure if this helped at all :P
help??????
Referring to the Fig. in Question #19, write the equation in standard form of the horizontal line through the point (3,0).
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Answer:
the answer is y=0
Step-by-step explanation:
A function is shown below:
f(x) = (0.07)x
What does the function represent?
A. Exponential growth of 7%
B. Exponential decay of 7%
C .Exponential growth of 93%
D. Exponential decay of 93%
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Answer:
D. Exponential decay of 93%Step-by-step explanation:
We are given an exponential function [tex]f(x) = (0.07)^x[/tex].
We know, the standard exponential function [tex]y= a(b)^x[/tex], where a is the initial value and b is growth factor.
If b is greater than 1, then it would be an Exponential growth and if b is less than 1, then it would be an Exponential decay.
Also b= 1+r, where r is the rate of decay or growth.
For the given function [tex]f(x) = (0.07)^x[/tex], we can see than b= 0.07.
0.07 is less than 1.
Therefore, it would be an Exponential decay.
Now, let us find rate of decay.
1+r = 0.07.
Subtracting both sides by 1, we get
r = 0.07-1 = -0.93.
In percentage it would be 93%.
Therefore, correct option would be
D. Exponential decay of 93%the product of 3x and (3x+1) is a t least 35
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So the product of 3x and (3x+1) can be written as:
35 < 3x + 3x + 1
^ Greater than 35 i.e. at least 35
35 < 6x + 1
34 < 6x
34/6 < x
17/3 < x
5.67 (2dp) < x
Graph y-5=-2/3(x+9)
50 points !!!
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A line that passes through (x1, y1) and has slope m
y - y1 = m(x - x1)
Using the equation, you could find out that the line has a slope of -2/3 and passes through the point (-9,5).
Have an awesome day!
Julie has a bag of p blue marbles and q red marbles in the ratio 2:3. She adds r blue marbles. The ratio of blue marbles to red marbles is now 2:1. What is the ratio between p and r
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Sorry I didn't have the answer, hope this helps :/
What is LCD of the fraction 1/3 and 3 1/4
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Thanks (:
!!!!!!!!
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What is the probability that two events, A and B, will occur at the same time?
answer choices:
P(A or B)
P(A and B)
P(A)+P(B)
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21 is what percent of 42
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42 x 0.5 = 21
2. We assume, that x is the value we are looking for.
3. If 100% equals 42, so we can write it down as 100%=42.
4. We know, that x% equals 21 of the output value, so we can write it down as x%=21.
5. Now we have two simple equations:
1) 100%=42
2) x%=21
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=42/21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 21 is what percent of 42
100%/x%=42/21
(100/x)*x=(42/21)*x - we multiply both sides of the equation by x
100=2*x - we divide both sides of the equation by (2) to get x
100/2=x
50=x
x=50
now we have:
21 is 50% of 42
You are painting the outside of a 28 -foot fence that goes around a square garden. There are 4 equal sections. You have painted 12 of one section. What fraction of the job have you completed?
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because 4 sections are there