Answer:
83,040
Step-by-step explanation:
I multiplied the original number by ten
The New Jersey Division of Fish and Wildlife keeps track of the beaver population in the Raritan River. They tagged 42 beavers and released them. A week later, they captured 54 beavers, including 14 tagged beavers. What is a good estimate of the beaver population in the Raritan River? There are approximately beavers in the Raritan River.
Answer:ratio is 14:54 = 42:B. Beavers = 162
Step-by-step explanation:
The ratio demonstrates how often one number is multiplied by another.
The approximate number of beavers exists 162.
What is meant by ratio?The ratio demonstrates how often one number is multiplied by another. When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage.
The relationship or comparison between two numbers in the same unit to determine how much larger one number is than the other is known as a ratio.
The 42 beavers were tagged and released by the New Jersey Division of Fish and Wildlife, which monitors the beaver population in the Raritan River. After a week, they had captured 54 beavers, 14 of which were marked. There are 54 Beavers in all, and 14 Beavers have tags.
Let the ratio be 14 : 54.
As 42 tagged beavers were released.
simplifying the above equation, we get
14 × 3 : 54 × 3
= 42 : 162
Therefore, the approximate number of beavers exists 162.
To learn more about ratio, refer to:
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The total weight of a rock depends on its size and is proportional to its density. In this context, density is the weight per cubic inch. Let w denote the weight of the rock in pounds, s the size of the rock in cubic inches, and d the density of the rock in pounds per cubic inch. If a 48-cubic-inch rock weighs w pounds, write an equation that shows the proportional relation.
Answer:
[tex]d = \frac{w}{48}[/tex]
If [tex]\frac{1}{48} \\[/tex] is constant, say k
Then,
[tex]d = kw[/tex]
∴ d ∝ w
Hence, weight is proportional to the density
Step-by-step explanation:
From the question,
Let w denote the weight of the rock in pounds
s denote the size of the rock in cubic inches and
d denote the density of the rock in pounds per cubic inch.
First, we will write the equation connecting w, s, and d.
We get
[tex]density (pounds/inch^{3} ) = \frac{weight(pounds)}{size (inch^{3}) }[/tex]
That is,
[tex]d = \frac{w}{s}[/tex]
Now, given a 48-cubic-inch rock with weight w pounds, to show the proportional relation between the weight and the density, we will write
[tex]d = \frac{w}{48}[/tex]
If [tex]\frac{1}{48} \\[/tex] is constant, say k
Then,
[tex]d = kw[/tex]
∴ d ∝ w
Hence, density is proportional to the weight OR weight is proportional to the density
Josh wrote a whole number using the digits 8,4,7,2,9 and 0. Josh's number has a seven in the thousands and a 2 in the tens place. Josh's number is less then 500,000. Is Josh's number greater than 480,000?
Answer:
Step-by-step explanation:
Using the digits 8,4,7,2,9 and 0 to write a whole Number with 7 in the thousands place and 2 in the tens place :
The whole number is 6 digits long
100 thousand
10 thousand
Thousand = 7
Hundred
Tens = 2
Unit
Also the whole number is less than 500,000
Hence, number in the 100 thousand place is less Than 5,
Hence digit in the 100 thousand place = 4
Placing either 8 or 9 in the ten thousand place will mean That Josh's whole number is greater than 480,000
When the polynomial:
[tex]h(x) ={dx}^{3}+{fx}^{2} - 7x - 6[/tex]
is defined by
[tex]x - 1[/tex]
its remainder is
[tex] - 10[/tex]
and when it is divided by
[tex]x - 3[/tex]
the remainder is
[tex]36[/tex]
find the values of the constant d and f
Sleeping in college. A recent article in a college newspaper stated that college students get an average of 5.5 hrs of sleep each night. A student who was skeptical about this value decided to conduct a survey by randomly sampling 25 students. On average, the sampled students slept 6.25 hours per night. Identify which value represents the sample mean and which value represents the claimed population mean.
Answer:
Sample mean = 6.25 hours per night.
Population mean = 5.5 hrs of sleep each night.
Step-by-step explanation:
A sample mean is the mean of the sample collected. The 25 students surveyed by the student is the sample. The average sleep time derived from the sample is the sample mean.
A population mean is the mean of all the population. Here the population are college students. The population mean is the mean derived from studying the sleep duration of all the population - college students
Please help solve for y.
Answer:
90
Step-by-step explanation:
Use the Squeeze Theorem to show that [tex]\lim_{t \to \infty} \frac{cos5t}{5t}[/tex]
Complete the following argument: for t arbitrary large and positive.
Im not sure how to break this problem down using the Squeeze Theorem, could anyone help?
Recall that [tex]\cos x[/tex] is bounded between -1 and 1 for all real [tex]x[/tex], so that
[tex]-1\le \cos(5t)\le 1[/tex]
[tex]\implies-\dfrac1{5t}\le\dfrac{\cos(5t)}{5t}\le\dfrac1{5t}[/tex]
Now take the limit of each side of the inequality:
[tex]\displaystyle\lim_{t\to\infty}\left(-\dfrac1{5t}\right)\le\lim_{t\to\infty}\dfrac{\cos(5t)}{5t}\le\lim_{t\to\infty}\dfrac1{5t}[/tex]
The bounding limits are both 0, so by the squeeze theorem the desired limit is also 0.
What is the answer to 24/3x-2
Answer:
=8x−2
Step-by-step explanation:
I hope this helps you
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Mrs. Scarbrough and her dog drove 204 miles to grandma's house. The trip took them 3 hours.
What was their average speed in miles per hour?
miles per hour
Find the general solution of the given system.
dx dt = 6x − y
dy dt = 36x − 6y
Answer:
[tex]y = 6x + C[/tex]
Step-by-step explanation:
Given the system of equations
dx/dt = 6x − y ............. 1
dy/dt = 36x − 6y ............ 2
Divide equation 2 by 1;
[tex]\dfrac{dy/dt}{dx/dt} = \dfrac{36x-6y}{6x-y} \\\\\dfrac{dy/dt}{dx/dt} = \dfrac{6(6x-y)}{6x-y}\\ \\\dfrac{dy/dt}{dx/dt} = 6\\\\\dfrac{dy}{dt}* \dfrac{dt}{dx} = 6\\\dfrac{dy}{dx} = 6[/tex]
cross multiply
[tex]dy = 6dx\\[/tex]
integrate both sides of the expression
[tex]\int\limits {dy} = \int\limits {6} \, dx \\\\y = 6x + C[/tex]
Hence the general solution to the system of equation is [tex]y = 6x + C[/tex]
a man steals 500naira from a shop,then bought an items worth 200naira collect 300naira change.how much does the shop keeper lose?
what is 2,340 divided by 36
Answer:
65.
Step-by-step explanation:
You could honestly just use a calculator for this, but okay.
Please help! I am confused and cannot get the correct answer.
Answer:
520
Step-by-step explanation:
I used big brain
-
Muna is making a scale drawing of a gecko. The gecko is 1:2 inch wide and 5 inches long. she decides to make her drawing of the gecko 1 inch wide. How long will the drawing be ? show your work
Answer:
L= 0.83 in
Step-by-step explanation:
Width= 1.2 in when length = 1 in
Required
Determine the length when width = 1 in
First, we need to determine the ratio
Ratio = [tex]\frac{Width}{Length}[/tex]
Ratio = [tex]\frac{1.2}{1}[/tex]
Ratio = 1.2 ---(1)
Let the required length be represented with L
So:
Ratio = [tex]\frac{Width}{Length}[/tex]
Ratio = [tex]\frac{1}{L}[/tex] ---(2)
Equate (1) and (2)
[tex]\frac{1}{L}[/tex] = 1.2
Multiply through by 1.2
L * [tex]\frac{1}{L}[/tex] = 1.2 * L
1 = 1.2 * L
Divide through by 1.2
L = [tex]\frac{1}{1.2}[/tex]
L = 0.83 in (Approximated)
Do the binary numbers “0011” and “000011” have the same value or different values? Explain.
Using binary to decimal conversion, it is found that the numbers have the same values.
----------------------------------
0011
Converting from decimal, the number is given by:
[tex]0011 = 1\times2^0 + 1\times2^1 + 0\times2^2 + 0\times2^3 = 1 + 1 + 0 + 0 = 2[/tex]
----------------------------------
000011
Converting from decimal, the number is given by:
[tex]000011 = 1\times2^0 + 1\times2^1 + 0\times2^2 + 0\times2^3 + 0\times2^4 + 0\times2^5 = 1 + 1 + 0 + 0 + 0 + 0 = 2[/tex]
In both cases, the result of conversion is 2, thus, they have the same value.
A similar problem is given at https://brainly.com/question/7978210
To transform a binary number to a decimal number we need to multiply each of the components of the binary number by 2 to the power of the place value minus one, and sum all of that.
Based on this, we will see that 0011 and 000011 have the same value.
For example, the number 01 will be:
[tex]0*2^1 + 1*2^0 = 1[/tex]
The number 1010 will be:
[tex]1*2^3 + 0*2^2 + 1*2^1 + 0*2^0 = 1*8 + 1*2 = 10[/tex]
Now let's convert the two given numbers to decimals:
0011
[tex]0*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 3[/tex]
000011
[tex]0*2^5 + 0*2^4 + 0*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 3[/tex]
So exactly like in decimal numbers, adding zeros to the left side does not affect the value.
If you want to learn more, you can read:
https://brainly.com/question/19802955
which statement is false A: every irrational number is also a real number B: every integer is also a real number C: every integer is also an irrational number D: no irrational number is rational
Answer is D
I say this because I can't be a cause international numbers real
B every integers a real number
C every integers is also an interration number.
Using the distributive property, which of the following is an equivalent expression for 3(9 + 15)
Answer:
3 x 9+3 x 15
Step-by-step explanation:
I already know the answer but Brainliest for best explanation 3973-2937
Answer:
1036
Step-by-step explanation:
Working each column from right to left
3 9 7 3
− 2 9 3 7
7 is greater than 3 so you must regroup:
Take 1 from 7, so 7 becomes 6.
Add 10 to 3, so 3 becomes 13.
6 13
3 9 --
− 2 9 3 7
13 minus 7 is 6
6 13
3 9 --
− 2 9 3 7
6
6 minus 3 is 3
6 13
3 9 --
− 2 9 3 7
3 6
9 minus 9 is 0
6 13
3 9 --
− 2 9 3 7
0 3 6
3 minus 2 is 1
6 13
3 9 --
− 2 9 3 7
1 0 3 6
Hope this helps! Plz award Brainliest : )
Answer:
1036
Step-by-step explanation:
What is the simplified value of the expression below? StartFraction 4 (negative 8 + 4.5) over 6.25 + (negative 8.25) EndFraction –25 –7 7 25
Answer: -10.49.
Step-by-step explanation:
Using order of operations PEMDAS:
4(-8+4.5)/ 6.25 + (-8.25)
= 4 * -3.5 / 6.25 - 8.25
= -14/6.25 - 8.25
= -2.24 - 8.25
= -10.49.
Answer:
The answer should be -10.49
Step-by-step explanation:
The definition of a circle uses the underfined term
Arc.
Line.
Plane
Ray
Math need help fast.............................
Answer: B) 3 times
Step-by-step explanation:
write an equation
2/3x=2
Muktpily 3/2 on both sides
Youll get 3
when a number is divided by 7, the quotient is 8 and leaves 2 remainder. what is the number?
Answer:
58............will be the number
Which are correct representations of the inequality -3(2x - 5) <5(2 - x)? Select two options.
x < 5
0-6x-5 < 10 - X
0-6x + 15 < 10 - 5x
-3 -2 -1
0
1
2
2
3
4
5 6 7
+
口……
-7 -6 -5
-4
-3
-2
-1
0
1
2
3
Answer:
what is this??
Step-by-step explanation:
I really don't understand this question can someone please explain to me
10 10 times as much as what
Answer:
100
Step-by-step explanation:
10x10
10 times 10 is equal to 100.
Today, 8 friends went out for lunch. Their total bill was $43.53, including tax and gratuity. One of them ordered only soda and needed to pay only $1.74. The
other 7 friends ordered the same daily special. How much did each of the other friends need to pay?
Answer:
5.97
Step-by-step explanation:
If one of them only ordered soda which costs $1.74 then you do 43.53 - 1.74 =41.79. Then do 41.79 divided by the other 7 people. 41.79 divided by 7 gets you the answer $5.97
What is this called?
MATH
Answer and I will give you brainiliest
Answer:
injective function where range can't have many domain
Step-by-step explanation:
On a map, 1 cm represents 300 km. What does 3/5 cm represent?
Answer:
180 km
Step-by-step explanation:
3/5 times 300 is 180
Answer
180 km
Step-by-step explanation:
Simplify 2(9* 5+3^2) + 4
Answer:
112
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
2(9 × 5 + 3²) + 4
Step 2: Exponents
2(9 × 5 + 9) + 4
Step 3: Multiplication
2(45 + 9) + 4
Step 4: Parenthesis
2(54) + 4
Step 5: Multiply
108 + 4
Step 6: Add
112
65.8 percent of what number is 14
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{21.27}}}}}[/tex]
Step-by-step explanation:
Let the number be x
Create an equation
[tex] \sf{65.8\% \: of \: x = 14}[/tex]
[tex] \longrightarrow{ \sf{ \frac{65.8}{100} x = 14}}[/tex]
[tex] \longrightarrow{ \sf{x = \frac{14}{ \frac{65.8}{100} } }}[/tex]
[tex] \longrightarrow{ \sf{x = 14 \times \frac{100}{65.8}}} [/tex]
[tex] \longrightarrow{ \sf{x = 21.27}}[/tex]
Hope I helped!
Best regards! :D
To prevent illness and Injury, employers must make standardized health and safety Information for the chemicals
they produce avallable to employees for all chemicals on the job and train employees to find this Information. true or false?
Answer:
true
Step-by-step explanation:
if they wash there hands the customers and employees can be safe