Step-by-step explanation:
The answer is
\(q = \frac{cd}{p} \)
A biologist wants to estimate how many fish are in a lake. The biologist takes a sample of 10 fish from the lake and tags all 10 fish. The biologist then releases the fish back into the lake. The nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. Using this information, estimate the number of fish in the lake.
If the nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. The estimated number of fish in the lake is 35 fish.
How to find the estimated number?Let x represent the estimated number of fish in the lake
Hence,
x /10 = 7/2
Cross multiply
2x = 10 × 7
2x = 70
Divide both side by 2x
x =70/2
x = 35 fish
Therefore 35 is the number of fish.
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Simplify using properties of exponents: (a^5)(a^2) *
Answer:
a^7
Step-by-step explanation:
a^7
Exponents are added when multiplied
Determine the amount of money you need to invest to accumulate $7,000 dollars in 4 years if you invest it at 2.5% annual interest, compounded quarterly.
An initial investment of $5,951.71 is needed to accumulate $7,000 in 4 years with 2.5% annual interest compounded quarterly.
To determine the amount of money needed to accumulate $7,000 in 4 years with 2.5% annual interest compounded quarterly, we need to use the formula for compound interest.
The formula is A = P(1+r/n)^(nt), where A is the final amount, P is the initial investment, r is the interest rate, n is the number of times compounded per year, and t is the number of years.
Using the given information, we can plug in the values and solve for P. A = $7,000, r = 0.025, n = 4, and t = 4.
A = P(1+r/n)^(nt)
A = P(1+0.025)^4
$7,000 = P(1+0.025/4)^(4*4)
$7,000 = P(1.00625)^16
P = $5,951.71
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Can someone help me with 7) 8) 9)
Step-by-step explanation:
please give me brainlest to me please
1 1/2-(5/6 x+1/3)=8/9
Answer: 2−(56x+
3
1
)=
9
8
11
Step-by-step explanation:
Which inequality best represents that ice cream at -5°C is cooler than ice cream at 4°C?
D -4°C > 5°C
O 4°C <-5°C
O-5°C < 4°C
O-5°C > 4°C
Answer:
4c less than -5c because 5is greater that 4 either way.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
(<) this means less than
(>) this means greater than
So since the question doesnt say anything about -4°C we can automatically cross out A and B
They are both negative! but when you have a negative. Its going to be less than a positive
So this means 4°C is greater than -5°C
or in other words
D.) 4°C > -5°C
hope this helps!
and dont forget 2
MARK ME BRAINLIEST!
=)
Which of the following numbers is one-fifth of a given number if one-fourth of that same number is 20? Select the single best answer: A 10 B. 15 C. 20 D. 16 E. 25 usuan West >>
16 is the number which is one-fifth of a number when one-fourth of that same number is 20.
As per the given data:
One-fourth of the number is resulted to 20.
Here we have to determine the result of one-fifth of the same number from the given options.
An expression for a portion of a whole is a fraction.
For any real numbers, the fractional component of x is defined.
Let the number be X.
One-fourth of a number is 20 which means:
Multiply the one-fourth fraction with an unknown number which results in the number 20.
\($\frac{1}{4}\) (X) = 20
X = 20 × 4
X = 80
Now we have to determine that one-fifth of the same number.
Multiply the one-fifth fraction by 80.
We get:
= \($\frac{1}{5}\) (80)
= \($\frac{1}{5}\) × 5 × 16
= 16
One-fifth of the number 80 is 16
Therefore Option (D) - 16 is the correct answer.
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Review the information given based on a principal balance of $8,000 to answer the question:
FICO Score Simple Interest Rate Total # of Payments Total Amount Paid
800-850 12%
29
740-799
15%
33
670-739 18%
38
580-669 21%
48
300-579 28%
60
Calculate how much more a household with a credit score of 525 will pay compared to a household with a credit score of 675.
O $4,391
O $1,337
$2,604
$9,256.00
$9,812.00
$10,554.00
$11,891.00
$14,945.00
O $3,491
The amount of payment more a household with a credit score of 525 will pay compared to a household with a credit score of 675 is A = $ 556
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The total amount paid for each credit score range is given by
With a 28% interest rate and 33 installments, the total amount owed with a FICO score of 580 is $2,079 overall.
With a 15% interest rate and 29 installments, the total cost for someone with a FICO score of 750 is $2,635.
The difference in total amount paid between the two credit scores is given by A = $2,635 - $2,079
So , the amount of payment more a household with a credit score of 525 will pay compared to a household with a credit score of 675 A = $ 556
Hence , the equation is A = $ 556
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Answer:
(A) $4,391
Step-by-step explanation:
525 fits in-between the credit range of (300–579). So the Total amount paid is $14,945.00.
Then we would find the total amount paid for a credit score of 675. 675 fits in with the credit range of (670–739) and its total amount paid is $10,554.00.
So, to see how much more a credit score with 525 will pay compared to a household with a credit score of 675 we would minus each of them.
$14,945.00 - $10,554.00 = $4,391
Therefore, a house with a credit score of 525 will pay $4,391 more than a house with a credit score of 675.
Neeed help!!!!!!!!!!!!!!
An area of a rectangle is 32x¹²y⁹ square inches and the length is 8x⁴y³ therefore the expression which represents the width of the rectangle in inches is 4x⁸y⁶.
What is a Rectangle?
This is referred to as a quadrilateral with four right angles.
Area of rectangle = Length × width
Width = Area/ Length
= 32x¹²y⁹ / 8x⁴y³
= 4x⁸y⁶
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3. Show that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
Answer:
Step-by-step explanation:
To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.
Let's apply the Luhn algorithm to the given credit card number:
Step 1: Starting from the rightmost digit, double every second digit
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|
Step 2: If the doubled value is greater than 9, add the digits of the result
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |
Step 3: Add up all the digits in the credit card number, including the check digit
5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61
Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.
61 is not divisible by 10, therefore the given credit card number is invalid.
Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
Need the answers for both questions shown on the image
Answer:
4. x=2, y=-5
5. x=3, y=4
Step-by-step explanation:
i need help with this geo problem
The value of x for the given triangle is 37.02 units.
What is tan function?The tangent of an angle in trigonometry is the ratio of the lengths of the adjacent side to the opposing side. In order for the value of the cosine function to not be 0, it is the ratio of the sine and cosine functions of an acute angle. One of the six fundamental functions in trigonometry is the tangent function.
From the given figure we observe a right triangle.
Using trigonometric identities we have:
tan (41) = 32/x
0.86x = 32
x = 32/0.86
x = 37.02
Hence, the value of x for the given triangle is 37.02 units.
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Find the weighted average of the numbers 0 and 4, with a weight of 1/3 on the first number and 2/3 on the second number?
The weighted average of the numbers 0 and 4 with their respective weights is 8/3
Find the weighted average of the numbersFrom the question, we have the following parameters that can be used in our computation:
0 with a weight of 1/34 with a weight of 2/3The formula to calculate weighted average is:
weighted average = (w₁x₁ + w₂x₂ + ... + wₙxₙ) / (w₁ + w₂ + ... + wₙ)
Where x₁, x₂, ..., xₙ are the values being averaged, and w₁, w₂, ..., wₙ are their corresponding weights.
So, we have
weighted average = (0 * 1/3 + 4 * 2/3)/(1/3 + 2/3)
Evaluate
weighted average = 8/3
Hence, the weighted average is 8/3
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The price of an item has been reduced by 2.09 The original price was 99.15 What is the price now?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The current price of the item is 97.06
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Original price of an item = 99.15
The price has been reduced by 2.09.
The current price.
= 99.15 - 2.09
= 97.06
Thus,
The current price of the item is 97.06
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27. The length and breadth of a rectangle are in the ratio 7:5 and the perimeter is 240m, find the area of
the rectangle
Answer:
\(Area = 3500\)
Step-by-step explanation:
Given
\(Length : Breadth = 7 : 5\)
\(Perimeter = 240m\\\)
Required
Determine the area
The perimeter is:
\(Perimeter = 2(Length + Breadth)\)
This is then represented as:
\(240 = 2(7x + 5x)\)
\(240 = 2 * 12x\)
\(240 = 24x\)
\(10 = x\)
\(x = 10\)
So, the area is:
\(Area = Length * Width\)
\(Area = 7x * 5x\)
\(Area = 7*10 * 5*10\)
\(Area = 3500\)
NO LINKS!! URGENT HELP PLEASE!!!
9. Find the equation of the PARABOLA with a vertex at (-2, 6) and passing through the point (1, -3)
Answer:
y= -x²-4x+2
Step-by-step explanation:
write in vertex form
a(x-h)²+k
in our case h = -2 and k= 6
y=a(x+2)²+6
now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a
-3= a(1+2)²+6
-9=9a
a= -1
thus the formula is -(x+2)²+6
generally, teachers want things in standard form, so expand the exponent and simplify.
-(x²+4x+4)+6
y= -x²-4x+2
Answer:
\(y = -x^2 - 4x + 2\)
Step-by-step explanation:
The equation of a parabola in vertex form is:
\(y = a(x - h)^2 + k\)
where (h, k) is the vertex of the parabola.
In this case, the vertex is (-2, 6), so h = -2 and k = 6.
We also know that the parabola passes through the point (1, -3).
Plugging these values into the equation, we get:
\(-3 = a(1 - (-2))^2 + 6\)
\(-3 = a(3)^2 + 6\)
-9 = 9a
a = -1
Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:
\(y = -1(x + 2)^2 + 6\)
This equation can also be written as:
\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)
(If A+B+C=180)
tan 2A + tan 2B + tan 2C = tan 2A tan 2B tan 2C
Step-by-step explanation:
Hey there!
See explanation in picture.
Hope it helps....
4. The rectangle shown below has been broken into four smaller rectangles. The area of three of the smaller
rectangles are shown in the diagram. Find the area of the fourth rectangle and justify your answer. [Think about
shared dimensions.]
Answer:
Step-by-step explanation:
Need the diagram for reference in order to answer...........
1.) A six-sided number cube is rolled, and the spinner
below is spun. Determine the probability of rolling a 3 and
spinning blue. (B=blue, R=red) Express your answer as a
fraction, a decimal, and a %.
Answer:
Step-by-step explanation:
The question is not totally clear. I will assume that the spinner has 2 colors, red and blue.
Your chances of rolling a 3 are 1 in 6 = 1/6
Your chance of getting blue is 1/2
Your chances are 1/2 * 1/6 = 1/12
As a decimal that is 0.0833333
As a % it is 8.3333 %
A bag is filled with an equal number of red, yellow, green, blue, and purple socks. The theoretical probability of a child drawing 2 yellow socks from the bag with replacement is one fifth. If the experiment is repeated 175 times, what is a reasonable prediction of the number of times he will select 2 yellow socks?
one fifth
10
25
35
35 is a reasonable prediction of the number of times he will select 2 yellow socks?
what is probability?Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
What is event?In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.
In the given question,
The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:
P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25
So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.
To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:
E(X) = n * p
where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.
In this case, n = 175 and p = 1/25. So,
E(X) = 175 * (1/25) = 7
Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.
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Lucía says that 35 and 65 are both solutions of the equation
50 = x + 15. Is Lucía correct? Explain your answer.
Pls help
Answer:
Lucia is incorrect
Step-by-step explanation:
65 + 15 equals 80 not 50 but 35 + 15=50 so 60 cannot equal to 50
HELP ME
Final exam guide due
Show work
The approximate height of the tree is given as follows:
45.6 ft.
What is the geometric mean theorem?The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.
The altitude segment for this problem is given as follows:
14.5 ft.
The bases are given as follows:
5.2 ft and x ft.
Hence the value of x is given as follows:
5.2x = 14.5²
x = 14.5²/5.2
x = 40.4 ft.
Hence the height of the three is given as follows:
5.2 + 40.4 = 45.6 ft.
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Question 3(Multiple Choice Worth 2 points) (01.01 MC) What is seven hundred thousand one hundred eighty-two and nine thousandths written in expanded form 700,000+100 + 80 +2 +0.009 700,000+ 10,000+8,000 + 200 +0.9 7,000,000+ 100,000+ 9,000 + 80 +2 7,000,000+ 100,000+80,000 +2 +0.09
The number in an expanded form is 700,000 + 182 + 0.009
How to write the number in an expanded form?The number is given as:
seven hundred thousand one hundred eighty-two and nine thousandths
Next, we split the numbers:
seven hundred thousand = 700,000
one hundred eighty-two = 182
and nine thousandths = 0.009
Next, we add the numbers
700,000 + 182 + 0.009
Hence, the number in an expanded form is 700,000 + 182 + 0.009
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This is for Geometry.
If it is blurry Zoom in.
Please helps me, Thx!
Answer:
Altitude - a segment drawn from the vertex perpendicular to the other side (also called the height).
If you buy 10 pounds of lettuce for $70, what is the rate which one pound of lettuce costs?
Answer:
$7/lb
Step-by-step explanation:
$70 / 10 lb = $7/lb
Answer:
$7 per pound of letuce
Step-by-step explanation:
We know
10 pounds = $70
1 pounds = ?
We cross multiply and get:
$7 per pound of letuce
So, the answer is $7 per pound of letuce
Caroline misses 25% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 39?
Answer:
156
Step-by-step explanation:
39 * 4 = 156
For each pair of functions F and G below, find f(g(x)) and g(f(x)).
Then, determine whether f and g are inverses of each other.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all x in the domain of the composition.
You do not have to indicate the domain.)
Answer:
FG
Step-by-step explanation:
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The function f(x) = x - 4 and g(x) = x + 4 and the function f(x) = -3/x and g(x) = 3/x are not inverse of each other.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
For each pair of functions F and G below, find f(g(x)) and g(f(x)).
a) f(x) = x - 4 and g(x) = x + 4
Then f(g(x)) will be
\(\rm f(g(x)) = x\)
Then g(f(x)) will be
\(\rm g(f(x)) = x\)
The functions f and g are not inverse of each other.
b) f(x) = -3/x and g(x) = 3/x
Then f(g(x)) will be
\(\rm f(g(x)) =- x\)
Then g(f(x)) will be
\(\rm g(f(x)) = -x\)
The functions f and g are not inverse of each other.
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Use intercepts to graph the linear equation 3x-y=-5
Last season Emily soccer team how to win loss ratio of 9 to 12 and Grant soccer team how to win loss ratio of 10 to 15 who’s team has a higher ratio of wins to losses use complete sentences to explain your reasoning
The Emily soccer team has the higher ratio of wins to losses.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
The ratio of a and b is denoted as a : b.
Given that,
Ratio of win to loss of Emily soccer team = 9 : 12
Ratio of win to loss of Grant soccer team = 10 : 15
9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60
10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60
If 60 games are losses, then 45 games are wins for Emily soccer team.
If 60 games are losses, then 40 games are wins for Grant soccer team.
Higher ratio is for Emily soccer team.
Hence higher ratio of wins to losses is for Emily soccer team.
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Mia counts on in steps of 100 she starts at 946. Write the next number she says
Answer:
100+946=1046
Ao the next no. Is 1046