Given parameters:
Height of Kevin = 3ft
Height of Bob = 2.5ft
Hieght of Kevin's shadow = 5ft
Unknown:
Length of Bob's shadow = ?
We can simply set up simple ratio to solve this problem.
The ratio of Kevin's height to Bob's height is 3 : 2.5
The ratio of their shadow should also be 5: Bob's shadow height
Equating the two of them should give a fairly constant ratio;
[tex]\frac{3}{2.5} = \frac{5}{Bob}[/tex]
3Bob = 5 x 2.5
Bob's shadow height = [tex]\frac{5 x 2.5}{3}[/tex] = 4.2ft
The height of Bob's shadow is 4.2ft.
PLEASE HELP 50 PTS
For a function j(x), the difference quotient is 3x2 + 3xh + h2. What is the average rate of change of j(x) over the interval [–1, 6]?
15
21
25
31
Answer:
31 is correct guys
Step-by-step explanation:
Since the data is incomplete, for the given question the required average rate of change is given by 15 + 3h.
Given that,
For a function j(x), the difference quotient is 3x2 + 3xh + h2.
The average rate of change of j(x) over the interval [–1, 6] is to be determined.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is independent while Y is the dependent variable.
Here, the average rate of change = f(6) - f(-1) / (6 + 1)
So,
f(6) = 108 + 18h + h²
f(-1) = 3 - 3h + h²
Now,
average rate of change = [(108 + 18h + h²) - (3 - 3h + h²)]/(7)
= [105 + 21 h ] / 7
= 15 + 3h
Thus, the required average rate of change is given by 15 + 3h.
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what is the model of 1/4 divided by 3
Answer:
bust a uhhh
Step-by-step explanation:
ya dig
Kelsey graphed the equation y = 3x + 1 as shown below.
On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3).
Which describes Kelsey’s error?
Kelsey graphed the y-intercept on the x-axis.
Kelsey graphed –3 instead of 3 as the y-intercept.
Kelsey graphed the slope as up 1 right 1 instead of up 1 left 1.
Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.
Answer:
D. Kelsey graphed the slope as the y-intercept and the y-intercept as the slope.
Step-by-step explanation:
The equation to graph was : y= 3x + 1 where the slope is 3 and the y-intercept is 1
However, Kelsey graph line passes through points (-3, 0)and (0, 3).From these points the equation of the line is;
m=Δy/Δx where
m=the slope of the graph
Δy= 3-0 =3
Δx= 0--3 =3
m=3/3 = 1
The equation of the line should be;
m=Δy/Δx
1=y-3/x-0
1x= y-3
3+1x= y
y= 1x + 3 ----------where the slope is 1 and y-intercept is 3
So you can see here that in the original equation, the slope m is 3 and y-intercept is 1 as shown in the first attached graph.
While in the Kelsey's graph, the slope is 1 and the y-intercept is 3 as in the second attached graph.
Thus, the correct answer is D : Kelsey graphed the slope,3 as the y-intercept and the y-intercept,1, as the slope.
Answer choice A is incorrect because Kelsey didnot graph the y-intercept, 1 on the x-axis but graphed point (-3,0) on the x-axis.
Answer choice B is incorrect because on Kelsey's equation the y-intercept is 3 and not -3. i.e. y=1x + 3
Answer choice C is incorrect because Kelsey graphed the slope as up 1 right 1 which is okay per the equation , y=1x+3.However, this incorrect because the correct graph has a slope of 3.
Answer:
the answer is the last option
Step-by-step explanation:
hope this helps
have a good day
did the test on edge
Eddie Fantin is paid every two weeks. For the first week of his pay period he worked 42 hours, 4 of which were overtime hours. In the second week he worked 40 regular hours and 7 overtime hours. His regular pay rate is $14.40 an hour with time-and-a-half for overtime. What are his regular, , overtime, and total wages for the two weeks?
A number cube is rolled 24 times and lands on the number 2 four times and on the number 6 three times what is the theoretical probability of landing on 6?
Answer:
A: 4 / 24 (or 1/6) B: (24 - 3) / 24 = 21/24 (or 7/8) C and D: Theoretical probability for each number is 1/6 on each roll, and we expect 4 occurrences of each number, on average. 2 came up as expected. 6 came up 3/4 as often as expected. Or "Not-6" came up 21 instead of 20 times, slightly more often than expected.
Step-by-step explanation:
How do you determine what bn should be in a limit comparison test and a comparison test? When do you know that the series should use a limit comparison test or a comparison test to find if it is convergent/divergent? Examples would be greatly appreciated
Step-by-step explanation:
Pick a function that is the same "family". It needs to be a function that you know diverges or converges. So p-series and geometric series are common choices. Often we make the numerators the same so that it's easy to compare.
For example, if you have an = 1 / (n − 1), you would choose bn = 1 / n. Since n − 1 is less than n, we know an is greater than bn. And since we know bn diverges, that means the larger function an also diverges.
Or, if you have an = 1 / (n + 1), we again choose bn = 1 / n. However, comparison test is inconclusive here (an < bn, bn diverges), so we use limit comparison test instead.
lim(n→∞) an / bn
lim(n→∞) 1 / (n + 1) / (1 / n)
lim(n→∞) n / (n + 1)
1
The limit is greater than 0, and bn diverges, so an also diverges.
Let's try something more complicated. Let's say an = e⁻ⁿ / (n + cos²n). The numerator e⁻ⁿ is always less than 1, and the denominator is always greater than n.
If we again choose p-series bn = 1 / n, we know bn > an, and bn diverges, so comparison test is inconclusive. Limit comparison test is possible, but tricky.
But, if we choose geometric series bn = e⁻ⁿ / 1, we know bn > an, and bn converges, so by comparison test, an converges as well.
We can try one more: an = (n² + 2) / (n⁴ + 5). Let's choose bn = (n² + 2) / n⁴ = 1 / n² + 2 / n⁴.
The numerators are the same, but an has a larger denominator, so bn > an. bn is the sum of two p-series which converge, so bn converges. Therefore, an converges.
Which equation has exactly one solution?
A. 4x – 4 + 2x = 6x - 4
B. 3x + 5 = 2x - 6
C. 2(4x + 5) = 8x + 10
D. 4x - 8 = 4(x - 4)
Answer:
its B
Step-by-step explanation:
I calaulated all the numbers
A submarine dives below the surface, heading downward in three moves. If each move downward was 25 12 feet, where is the submarine after it is finished diving?
Answer:
why is 25 and 12 nex tto each other explian
Step-by-step explanation:
Answer:
It is about 325x3=975 feet below to surface. Hope this helps!!!
Step-by-step explanation:
Solve.
(5a^2 + 3) (4a^2 + 3)
Answer:
I think its a... carrot
Answer:
204+272+9
Step-by-step explanation:
Suppose you're given a data set that classifies each sample unit into one of four categories: A, B, C, or D. You plan to create a computer database consisting of these data, and you decide to code the data as A1, B2, C3, and D4. Are the data consisting of the classifications A, B, C, and D qualitiative or quantitative? After the data are input as 1, 2, 3, or 4, are they qualitative or quantitative?
Answer:
The data consisting of the classifications A, B, C, and D are qualitative.
After the data are input as 1, 2, 3, or 4 the data still be qualitative.
Step-by-step explanation:
The data consisting of the classifications A, B, C, and D are qualitative because data is categorized in A B C and D categories.
When the data are input as 1,2,3 or 4 it would be still be qualitative because here 1,2,3 or 4 as used as identifier rather than actual numerical meaningful digits.
What is the scale factor from polygon ABCD to polygon PQRS??
Answer:
We need the grid to figure this out
0.1 is 1/10 as much as
Answer:
10%
Step-by-step explanation:
Because 0.1 is equivalent to 1/10 and 10%
Jill made 20 muffins.she put them into 3 boxes and has two muffins left . How many are in each box if they contain the same amount of muffin
Answer:
6 muffins
she can fit 6 into each box because 20 divided by 3 is eighteen with a remainder of 3. 18 goes into 3 6 times.
3x square - 6x + 3=0
Answer: 1
Step-by-step explanation:
First you need to multiply 3 x 3 (9), because that's all 3 squared means.
Now the equation should be 9x-6x+3=0
Next we need to combine like terms. Do 9x - 6x which should give you 3x
Now your equations should be 3x+3=0
Now for the somewhat harder part...
Under the three (the one without the x) write -3 and under the zero write the same thing. the +3-3 cancels out so just put a line or something across it.
0-3= -3
so now you should have...
3x=-3 ignore the 3x, at this point it's useless in getting the answer because it would cancel out.
-3 divided by -3 is 1 because a negative (-) divided by a negative (-) equals a positive (+).
The answer should be x = 1
Find the quotient in SIMPLEST form. 2/5 ÷ 5/8 =
A: 10/40
B: 1/4
C: 16/25
D: 4/5
Answer:
c. 16/25
Step-by-step explanation:
divide
A phone company charges for service according to the formula C(n) = 23 + 0.2n, where n is the number of minutes
talked, and c(n) is the monthly charge, in dollars.
Find the rate of change.
Answer:
...........................
Mary Jo takes her son to get a haircut at the barbershop. The total cost of the haircut is $12.60, including a 20% tip. How much was the haircut before the tip?
Based on the total cost of the haircut with the tip included, the cost of the haircut before the tip was $10.50
How to find the cost of the haircut?The cost of the haircut give of $12.60 is merely the cost of the haircut including the 20% tip.
To find the cost of the haircut before the tip was included, assume that it is x. The relevant expression would then be:
Total cost including tip = x × (1 + tip percentage)
Solving for the haircut cost before the tip gives:
12.60 = x ( 1 + 20%)
12.60 = 1.20x
x = 12.60 / 1.20
x = $10.50
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Pls help
I have this question and I can’t figure it out
Start by crossing out absurd answers, it helps a lot. Then you're left with two and choose the correct answer by doing the math
Step-by-step explanation:
cross the ones that you think are not right
A floor is made up of 20 triangular tiles, each with sides 40 cm, 24 cm and 32 cm. Find the cost of polishing the floor at the rate of 2 rupees per sq.cm.
Answer:
[tex]15360\,\,rupees[/tex]
Step-by-step explanation:
Let sides of the triangle be [tex]a,b,c[/tex]
[tex]a=40\,,\,b=24\,,\,c=32[/tex]
Semi-perimeter (s) = [tex]\frac{a+b+c}{2}[/tex]
[tex]=\frac{40+24+32}{2}\\ =\frac{96}{2}\\=48[/tex]
Area of one tile [tex]=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
[tex]=\sqrt{48(48-40)(48-24)(48-32)}\\ =\sqrt{48(8)(24)(16)}\\ =\sqrt{147456} \\=384\,\,cm^2[/tex]
So,
Area of 20 tiles [tex]=20(384)=7680\,\,cm^2[/tex]
Cost of polishing the floor at the rate of 2 rupees per sq.cm = [tex]7680(2)=15360\,\,rupees[/tex]
Please answer this correctly without making mistakes
Answer:
50%
Step-by-step explanation:
Answer:
50 present
Step-by-step explanation:
Is the given function exponential function?
3x2 - 4x + 7 = 0 Yes or No? How do you know?
Answer: no
Step-by-step explanation:
because you can do what is known as the vertical line test to determine if it is a function you do that by plotting it and if it goes in a vertical line then it is a function
what is 337/25 simplified
Answer: 13.48
Step-By-Step:
Hello there! I will be showing the steps. Let me know if you have any questions or concerns in the comments.
Step 1: For the denominator, recognize that 25 × 4 = 100.
Multiple = 4
Step 2: Multiply both the numerator and denominator by the multiple 4.
[tex]\frac{337 *4 }{25 * 4}[/tex]
Step 3: Simplify.
[tex]\frac{1348}{100}[/tex]
Step 4: Simplify.
13.48
~I hope I helped you! :)~
what is the nineteenth term in the sequence 7, 10, 13, 16,...? A 64 B 61 C 57 D 19
Answer:
B. 61
Step-by-step explanation:
7, 10, 13, 16...
ok so were starting with 7 and adding 3 every time
im going to do 3 times 19 like as if we started with 3 then im going to add 4
3 x 19 = 57
57 + 4 = 61
the 19th term is 61
Answer:
B: 61
Step-by-step explanation:
Hope this helps :)
Could someone help me with 19 please :)
Answer:
Step-by-step explanation 我认为那是一个美好的一天
Wǒ rènwéi nà shì yīgè měihǎo de yītiān
Answer:
wouldn't that just make it -2 1/4 + 9?
Step-by-step explanation:
because f just means +9
50 apples cost $25.how much would 75 apples cost
Answer:
150
Step-by-step explanation: one apple cost $0.50, so 75/ $0.50= 150
What is 24:30 as a decimal
Answer:
.800
Step-by-step explanation:
Answer:
0.8
Step-by-step explanation:
Let's see 24:30 as a fraction first...
24/30
Now let's simplify it,
(24 ÷ 3) / (30÷3)=
8/10
8/10= 0.8
what is the opposite of 1/2
Answer:
The opposite of 1/2 is -2/1, which can also be written as -2.
Shiloh has to earn at least $200 to meet her fundraising goal. She has only 100 cakes that she plans to sell at $5 each. Which inequality shows the number of cakes, x, Shiloh can sell to meet her goal?
Answer:d
Step-by-step explanation:I took the test too
Match each part of this algebraic expression with its appropriate description 12.1x - 4.7y + 6x + 1/6
Answer:Terms, like terms, constant(s),Variable (s),Coefficient(s)
Step-by-step explanation: 18.1x,4.7 and 1/6=Terms
The matched part with the respective appropriate description:
1) x and y → Variable(s)
2) 1/6 → Constant(s)
3) 12.1, 4.7, and 6 → Coefficient(s)
4) 12.1x and 6x → Like Terms
5) 12.1x, 4.7y, and 1/6 → Terms
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
We have the algebraic expression,
12.1x - 4.7y + 6x + 1/6.
From the definition,
x and y are the two variables.
And 12.1, 6 and -4.7 are the numbers in front of the variables.
So, 12.1, 6 and -4.7 are the coefficients.
And 1/6 is the constant.
So, 1) x and y → Variable(s)
2) 1/6 → Constant(s)
3) 12.1, 4.7, and 6 → Coefficient(s)
4) 12.1x and 6x → Like Terms
5) 12.1x, 4.7y, and 1/6 → Terms
Therefore, each part of the algebraic expression matched with its appropriate description.
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The table below shows a proportional relationship between s and t . Which equation represents the relationship between s and t?
Answer:
[tex] s = 7t [/tex]
Step-by-step explanation:
The table given shows that both variables are directly proportional to each other. That is, as s variable increases, y variable also increases.
Equation to represent this direct proportion would be:
[tex] s = kt [/tex],
where, k = constant of proportionality.
Let's find k from the table given.
Let's use any pair values of of s and t given in the table. Say, s = 21, t = 3
[tex] s = kt [/tex]
[tex] 21 = k3 [/tex]
Divide both sides by 3
[tex] \frac{21}{3} = \frac{k3}{3} [/tex]
[tex] 7 = k [/tex]
[tex] k = 7 [/tex]
Plug in k = 3 into [tex] s = kt [/tex]:
[tex] s = 7t [/tex]
Answer:
B
Step-by-step explanation:
Divide 7