Answers
___________________________________________________
[D]: "3 miles; it represents the original distance of the bird from its nest."
________________________________________________________
"3 miles; it represents the original distance of the bird from its nest."
Related Questions
Earl runs 75 meters in 30 seconds. How many meters does Earl run per second?
Answers
divide distance by time
75 /30 = 2.5 meters per second
You see a used car you wish to buy. The dealer quotes you a price of $11,550. You have a blue book quotation of $8,400 for the same model and year. How much markup on cost is the dealer using?
Answers
Answer:
37.5%
Step-by-step explanation:
We have been given that the dealer quotes you price of a car $11,550. You have a blue book quotation of $8,400 for the same model and year.
First of all, we will subtract the blue book quotation price from the price quoted by dealer to get the amount of markup.
[tex]\text{Mark-up}=\$11,550-\$8,400[/tex]
[tex]\text{Mark-up}=\$3,150[/tex]
Now, we will find $3,150 is what percent of $8,400.
[tex]\text{Mark-up percent}=\frac{\$3150}{\$8400}\times 100[/tex]
[tex]\text{Mark-up percent}=0.375\times 100[/tex]
[tex]\text{Mark-up percent}=37.5\%[/tex]
Therefore, the dealer is using 37.5% of markup on the cost.
Write an equation of the description
A number x increased by 17 is 118.
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How many ways can 5 different colored balls be placed into bins labeled 1 through 8 so that no bin contains more than one ball?
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The number of ways 5 different colored balls be placed into bins labeled 1 through 8 so that no bin contains more than one ball is 336.
What is the Permutations?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.
Given that, 5 different colored balls be placed into bins labeled 1 through 8.
We know that, P(n, r) =n!(n-r)!
Here, P(8, 5) = 8!/(8-3)!
= 8×7×6×5!/5!
= 8×7×6
= 336
Therefore, the number of ways 5 different colored balls be placed into bins labeled 1 through 8 so that no bin contains more than one ball is 336.
To learn more about the permutation visit:
https://brainly.com/question/3867157.
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A scientist measures a substance to be 0.6 grams. Calculate the percent of error in the measurement. Show all work for full credit.
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% Error = ( |accepted value - measured value| / accepted value ) x 100%
If a data set has 16 data values, the number of values in the upper quartile is ?
Answers
Answer:
4
Step-by-step explanation:
Quartiles divide the data into 4 equal parts. So, each quartile will have 16/4= 4 values. Therefore, the number of values in the upper quartile is 4.
Which expression is equal 3(5+6) ?
a. 15+6
b. 5+18
c. 15+18
d. 3+11
please explain
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What is the integer of the square root of 70?
Answers
9*9 = 81
so integer part of sqrt 70 is 8 Answer
is 70 thousand written in a standard form or a word form? explain
Answers
Given that x is a number that is not negative, Kelvin conjectured that x^2>x+1 .
Which value is a counterexample to Kelvin's conjecture?
−12
−2
0
5
Answers
Answer: x=0 is a counterexample to Kelvin's conjecture.
Explanation:-
Given that x is a number that is not negative, Kelvin conjectured that [tex]x^2>x+1[/tex]
A counter example is an example that contradicts or opposes the conjecture.
Thus -12 and -2 cannot be the value of x for the counter example as they are negative
The positive numbers in options are 0 and 5,such that
[tex]0^2>0+1\\\Rightarrow0>1...\text{which is not true.}[/tex]
[tex]5^2>5+1\\\Rightarrow25>6...\text{which is true.}[/tex]
Thus the value of x=0 contradicts the conjecture made by Kevin.
⇒x=0 is a counterexample to Kelvin's conjecture.
Find the principal amount invested if the amount in a monthly compounded account with a 5.1% interest rate is $9,996.32 after 54 months.
Answers
[tex]\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\to &\$9996\\ P=\textit{original amount deposited}\\ r=rate\to 5.1\%\to \frac{5.1}{100}\to &0.051\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\to &12\\ t=years\to \frac{54}{12}\to &\frac{9}{2} \end{cases}[/tex]
[tex]\bf 9996=P\left(1+\frac{0.051}{12}\right)^{12\cdot \frac{9}{2}}\implies \cfrac{9996}{\left(1+\frac{0.051}{12}\right)^{12\cdot \frac{9}{2}}}=P[/tex]
Why is the completely factored form X^4+8x^2-9
Answers
This is still factor-able:
[tex]x^4+8x^2-9[/tex]
[tex]x^4+9x^2-x^2-9[/tex]
Factor by grouping.
[tex]x^2(x^2+9)-1(x^2+9)[/tex]
[tex](x^2+9)(x^2-1)[/tex]
Factor by difference in squares.
[tex](x^2+9)(x-1)(x+1)[/tex]
Hope this helps.
-Benjamin
Sammie bought just enough fencing to border either a rectangular plot or a square plot, as shown. The perimeters of the plots are the same.How many meters of fencing did she buy?
Answers
p = 4(x + 2)
p = 4x + 8
perimeter of rectangle : p = 2(L + W)
p = 2(3x + 2 + x - 1)
p = 2(4x + 1)
p = 8x + 2
so if the perimeters are te same, lets set them equal to each other and solve for x
4x + 8 = 8x + 2
8 - 2 = 8x - 4x
6 = 4x
6/4 = x
1.5 = x
the square : p = 4x + 8.....p = 4(1.5) + 8.....p = 14 meters
the rectangle : p = 8x + 2....p = 8(1.5) + 2.....p = 14 meters
so she bought 14 meters of fencing <==
The fencing purchased by Sammie corresponds to the perimeter of either a square or rectangular plot. The perimeters of both these shapes are equal. Therefore, the amount of fencing purchased is equivalent to the perimeter calculated using either of these shapes' formulas.
Explanation:This question is about the concept of perimeter in mathematics. Perimeter is the distance around the border of a shape. In this case, the shapes in question are a square and a rectangle. Because the question states that Sammie has enough fencing for either shape and that the perimeters are the same, we can infer that she bought a length of fencing equivalent to the perimeter of either shape.
Let's take a look at how we calculate perimeter:
For a square, the perimeter (P) is calculated by multiplying the length of one side (s) by 4. So, P = 4s.For a rectangle, the perimeter is calculated by adding twice the width (w) and twice the length (l) of the rectangle. So, P = 2l + 2w.In this scenario, even without specific numerical information, because the perimeters for both shapes are equal, it means that the fencing purchased would correspond to the same value obtained using either of these formulas.
Learn more about Perimeter here:https://brainly.com/question/31695951
At a baseball game, a vender sold a combined total of 123 sodas and hot dogs. The number of hot dogs sold was 53 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
Answers
h = s - 53
s + s - 53 = 123
2s - 53 = 123
2s = 123 + 53
2s = 176
s = 176/2
s = 88 <=== 88 sodas sold
h = s - 53
h = 88 - 53
h = 35 <== 35 hotdogs sold
Find the average weekly earnings. hours worked each week: 20; hourly rate: $3.25; weekly tips: $115.75, $94.80, $73.15, $62.50
Answers
Tips earn all together are 346.2
All together with the weekly tips and weekly pay check you will have 411.2 a week
This will be 1644.8 a month.
And 19737.6 a year
Do even numbers have more factors in odd numbers or do i numbers have more factors than even numbers
Answers
Final answer:
Whether even or odd numbers have more factors depends on the specific properties of each number, such as its prime factor composition, rather than on the binary classification of being even or odd.
Explanation:
The question of whether even numbers have more factors than odd numbers or vice versa does not have a straightforward answer, as it varies from number to number. In general, the quantity of factors a number has depends more on the specific properties of that number, such as its composition of prime factors, rather than simply on whether it is odd or even. For example, a number like 2 (which is even) has only two factors (1 and itself), while an odd number like 9 has three factors (1, 3, and 9). Similarly, an even number such as 12 has more factors (1, 2, 3, 4, 6, and 12) than many other even and odd numbers. Therefore, the distinction between even and odd in terms of number of factors is not particularly meaningful without considering the specific characteristics of individual numbers.
An expression to convert 50 miles per hour to miles per minute is shown.
What value can be entered in the box to correctly make this conversion?
Answers
Answer:
x = 60
Step-by-step explanation:
We have to convert 50 miles per hour to miles per minute.
1 hour = 60 minutes
Comparing with the given expression, we get
x = 60
On the first of three tests sally scored 75 points. on the third test her score was one point more than the second test her average on the three test was 82 what were her scores on the second and third test
Answers
A fountain on a lake sprays water in a parabolic arch modeled by the equation
y = −0.4x2 + 3x, where y is the height in feet and x is the horizontal distance. A beam of light is passed through the fountain to create a rainbow effect. If the beam is directed at an angle modeled by the equation -2.2x + 4.9y = 8.18, at what distance from the ground will the beam first touch the water spray?
A. 0.6 feet
B. 2 feet
C. 4.2 feet
D. 5.6 feet
Answers
Answer B (2.0017868263...feet)
We must foind the intersection of the line and the parabola:
[tex]- \dfrac{4}{10} x^2+3x= \dfrac{22}{49}x+ \dfrac{818}{490}\\ ...\\ 196x^2-1250x+818=0\\ x= \dfrac{1250- \sqrt{921188} }{392}\approx0.7403433860\\ y=-0.4*0.74034...^2+3*0.74034...\approx2.0017868263... [/tex]
Diego says that the product of 0.51 * 2.427 will have have five decimal places. is Diego correct? Explain
Answers
During the first day of a heat wave and emergency room had three times as many patients as the day before they were 48 patients seen total over there today. How many patients visited the ER on each day
Answers
In this question, we know that the ER the ratio number of the patient when heat wave compared to yesterday(3 times) and the number of patients today (48 patient).
Since 48 patient of today is 3 times more than yesterday, then the number of patient visit ER each day(without heat wave) is:
Patient when heat wave= 3x normal patient visit
48 patient = 3x Normal patient visit
Normal patient visit = 48/3= 16 patients
Alex wants to put a fence around his garden. It is square and has an area of 196 square feet. He wants to put a post in each corner, and every 7 feet. How may posts and how may feet of fencing does he need?
Answers
So each side is 14 feet
There are 4 posts in the corners and if each side is 14 feet and you put a post every 7 feet there would be an additional post on each side. That means he needs 8 posts.
The perimeter is 14×4=56
This means he needs 56 feet of fencing.
The record for the Boston Marathon's wheelchair division is 1 hour, 18 minutes, and 27 secondsThe Boston Marathon is 26.2 miles long. What was the average speed of the record winner of the wheelchair division? Round to the nearest hundredth.
Answers
1,107 / 3,600 = .3075 hours
26.2 / 1.3075 = 20.0382409178 miles per hour =
20.04 miles per hour
Ivan can type 54 words in 3 minutes. At this rate, how many words can he type in 10 minutes?
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The volume of a cone varies jointly as the square of its radius and its height. if the volume of a cone is 99piπ cubic inches when the radius is 3 inchesinches and the height is 3 inches, find the volume of a cone when the radius is 4 inchesinches and the height is 9 inches.
Answers
I don’t 100% remember how to turn this into a standard problem.. could someone help me really quick?
Answers
First evaluate the exponent and expand (foil).
y= 3(x^2-4x+4)+1
Then distribute the 3
y= 3x^2-12x+12+1
Combine like terms
y=3x^2-12x+13
Final answer: 3x^2-12x+13=0
Let f(x) = x2 and g(x) = x − 3. Evaluate (g ∘ f)(−2).
Answers
f(-2) = (-2)^2 = 4
g(f(-2)) = 4 -3 = 1
answer
(g ∘ f)(−2) = 1
Answer:
The value of (g ∘ f)(-2) is 1
Step-by-step explanation:
Given two functions
[tex]f(x)=x^2, g(x)=x-3[/tex]
we have to evaluate (g ∘ f)(-2).
As, (g ∘ f)(-2)=g(f(x))
[tex]g(f(x))=g(x^2)[/tex]
As g(x)=x-3
[tex]g(x^2)=x^2-3[/tex]
Therefore,
[tex](g o f)(x)=x^2-3[/tex]
To find the value of (g ∘ f)(-2), we have to substitute x=-2
[tex](g o f)(-2)=(-2)^2-3=4-3=1[/tex]
Hence, the value of (g ∘ f)(-2) is 1
Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the expression 12h+30w where h is the number of hours worked and w is the number of wagons sold. What is the amount paid to an employee that works 6 hours and sells 3 wagons?
Answers
So I get 72 and 90 then add those together your final answer should be 162
What is the lcm of 6 ,21 and 28 on?
Answers
ANSWER=84 :D
I cant seem to figure out this question? someone please help me please
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h is measured in miles so you need to convert 1135ft to miles
1 mile = 5280 feet
so 1135/5280 = 0.21496 miles
D = sqrt(2(3960)(0.21496) + 0.21496^2)
D = sqrt(1702.4832 + 0.046207801)
D = sqrt(1702.529408
D = 41.2617 miles round answer as needed