Answer:
B
Step-by-step explanation:
If a population is the entire school faculty, a sample of the population could be math teachers.
Always remember a sample is a part of the larger group.
I'm more sophisticated than my little sister so I save my money in a bank account that pays me
3% interest on the money in the account at the end of each month. (If I take my money out
before the end of the month, I don't earn any interest for the month.) I started the account with
$50 that I got for my birthday. Use a table, a graph, and an equation to create a mathematical
model of the amount of money I will have in the account after m months.
Answer:
F(m)=50*1.03^m
Step-by-step explanation:
What is the correct definition of speed?
A. Distance (Miles or meters)
B. Time (hours or seconds)
C. Distance per time (Miles per hour or meters per second)
D. Time per distance (hours Per mile or seconds per meter)
Answer: Distance Per time
Step-by-step explanation:
Answer:
Distance per time. Mile per hour or second
Step-by-step explanation:
\(\int\limits^{i/2}_i {e^{z/2}} \, dx\)
The number of animals in a population at the start of year t is Pt
The number of animals at the start of year 1 is 400
Given that
Pt + 1 = 1.01Pt
work out the number of animals at the start of year 3
Therefore, the number of animals at the start of year 3 is approximately 408.04.
What is equation?An equation is a mathematical statement that shows the equality of two expressions, usually with an equal sign "=" in between them. An equation can contain variables, constants, and operators. The variables are represented by letters and can take on different values, while constants are fixed values that do not change. Operators include mathematical symbols like plus, minus, multiplication, and division, as well as exponents and logarithms.
Here,
We are given that the population at the start of year 1 (P1) is 400. Using the recurrence relation Pt + 1 = 1.01Pt, we can find the population at the start of year 2 (P2) and year 3 (P3) as follows:
P2 = 1.01 * P1 = 1.01 * 400 = 404
P3 = 1.01 * P2 = 1.01 * 404 = 408.04
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(4.5x − 5) − (3.5x − 10)
Answer:
To simplify this expression, we can use the distributive property of multiplication over addition/subtraction to remove the parentheses:
(4.5x − 5) − (3.5x − 10)
= 4.5x - 5 - 3.5x + 10 (distributing the negative sign to the second term in parentheses)
= (4.5x - 3.5x) + (10 - 5) (grouping like terms)
= 1x + 5
= x + 5
Therefore, (4.5x − 5) − (3.5x − 10) simplifies to x + 5.
Answer:
1x+5
Step-by-step explanation:
You are trying to simplify the equation
First distribute the "-"
-(3.5x)=-3.5x -(-10)=10
4.5x-5-3.5x+10
Now combine like terms
4.5x-3.5x=1x -5+10=5
1x+5
Hope this helped!
How much greater is the average temperature on Earth the the average temperature on Jupiter? Jupiter's temperature is -166, Earth's temperature is 59.
Answer: 107 I think
Step-by-step explanation:
The average temperature on Earth is 225 degrees higher than the average temperature of Jupiter.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Jupiter's temperature is -166, and Earth's temperature is 59.
We have to find the temperature difference between the earth and Jupiter.
In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.
The average temperature on Earth and the average temperature on Jupiter are obtained by applying the subtraction operation as,
Δt= T(earth) - T(jupiter)
Δt=59-(-166)
Δt=59+166
Δt=225 degrees
Thus, the average temperature on Earth is 225 degrees higher than the average temperature of Jupiter.
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find the coordinate of a triangle a(1,3) , b(2,5) and c(3,3) after being rotated about fixed point p(2,4) by 45 in clockwise direction and then translate (3,4) .
After the transformation point A will be at (5, 6.586), point B will be at (5.121, 7.121) and point C will be at (6.121, 5.121).
STEPS FOR FIND THE COORDINATEThe coordinates of a triangle after rotation and translation can be found using the following steps:
Rotation: To rotate a point (x, y) about a fixed point (a, b) by an angle θ (in this case, 45 degrees in the clockwise direction), you can use the following formulas to find the new coordinates:x' = (x - a) * cos(θ) - (y - b) * sin(θ) + a
y' = (x - a) * sin(θ) + (y - b) * cos(θ) + b
Translation: To translate a point (x, y) by a distance (dx, dy) in the x and y direction, you can use the following formulas to find the new coordinates:x' = x + dx
y' = y + dy
So for the first vertex of the triangle(1,3) after being rotated about fixed point p(2,4) by 45 in clockwise directionx' = (1 - 2) * cos(45) - (3 - 4) * sin(45) + 2 = -1.121 + 1.121 + 2 = 2.000
y' = (1 - 2) * sin(45) + (3 - 4) * cos(45) + 4 = -0.707 - 0.707 + 4 = 2.586
And after the translation (3,4) for point Ax' = 2 + 3 = 5
y' = 2.586 + 4 = 6.586
similarly for point B(2,5) will be (5.121,7.121)
and for point C(3,3) will be (6.121,5.121)
So after the transformation point A will be at (5, 6.586), point B will be at (5.121, 7.121) and point C will be at (6.121, 5.121)Learn more about coordinate of a triangle here:
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A parallelogram has sides measuring 10 and 18, and an angle measuring 100 degrees. What is its area?
Answer:
180
Step-by-step explanation:
The area of a parallelogram is given by the formula A = b × h, where b is the base and h is the height. In this case, the base is 10 and the height is 18. Therefore, the area is:
A=10×18
A=180
The area of the parallelogram is 180 square units
Leslie paid $12 for 4 books. What is the unit rate of the book purchase?
Answer: 3 dollars for a book.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Please help me for 15 points
Express the set shown below in roster form. {x | x is a natural number less than -2}
Given:
The set is:
\(\{x|x\text{ is a natural number less than }-2\}\)
To find:
The raster form of the given set.
Solution:
We know that, natural numbers are all positive integers.
Natural numbers: 1, 2, 3, 4,... .
The given set is:
\(\{x|x\text{ is a natural number less than }-2\}\)
Here, x is a natural number and it is less than -2, which is not possible.
Since all natural numbers are greater than or equal to 1, therefore the given set has no element.
\(\{x|x\text{ is a natural number less than }-2=\phi\)
Therefore, the roaster form of the given set is \(\phi\) or \(\{\ \}\).
Estimate 6,976 + 3,983 + 13,560 by first rounding each number to the nearest thousand.
Answer:
Step-by-step explanation:
The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000, 3,983 rounded to the nearest thousand is 4,000, 13,560 rounded is 14,000.
7,000 + 4,000+ 14,000 = 25,000
Cecilia packed a fruit basket for her new neighbors. If 20% of 30 pieces of fruit were bananas, what fraction of the fruit were bananas? Help!
Answer:
6/30
Step-by-step explanation:
20 percent of 30 is 6 ^_^
Risk of diabetes
The American Diabetes Association reports the following information:
In general, if you are a man with type-1 diabetes, the odds of your child getting diabetes are 1 in 17. If
you are a woman with type-1 diabetes and your child was born before you were 25, your child's risk
is 1 in 25; if your child was born after you turned 25, your child's risk is 1 in 100.
For each of the following questions, be prepared to justify your response in class.
A 30-year-old women with type-1 diabetes has a child. The probability that the child will also have
diabetes is about 1%.
O True
O False
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The probability that the child will also have diabetes is about 1/2500 so the above-given statement is (B) FALSE.
What is probability?Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. By simply dividing the favorable number of outcomes by the total number of possible outcomes, the probability of an event can be determined using the probability formula.So, if a 30-year-old woman with type-1 diabetes has a child, then the probability that the child will also have diabetes is about 1%:
If a child is born before a woman is 25 = 1/25If a child is born after a woman is 25 = 1/100Now,
1/25 × 1/100 = 1/2500Therefore, the probability that the child will also have diabetes is about 1/2500 so the above-given statement is (B) FALSE.
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The correct question is given below:
Risk of diabetes
The American Diabetes Association reports the following information:
In general, if you are a man with type-1 diabetes, the odds of your child getting diabetes are 1 in 17. If
you are a woman with type-1 diabetes and your child was born before you were 25, your child's risk
is 1 in 25; if your child was born after you turned 25, your child's risk is 1 in 100.
For each of the following questions, be prepared to justify your response in class.
A 30-year-old woman with type-1 diabetes has a child. The probability that the child will also have
diabetes is about 1%.
(A) True
(B) False
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Submit Question
Which choice is the equation of the line that passes through the point (5, 19) and has a slope of m =12 and is written in slope-intercept form?
Answer: y = 12x - 41
Step-by-step explanation:
The choices are not given, but you can figure this out.
Slope intercept form is y = mx + b
Substitute the y and x-values into the equation to calculate b, the y-intercept.
19 = 12(5) + b
19 = 60 + b
-60 + 19 =b
-41 = b
Write the equation with y and x, include the given slope and the calculated y-intercept:
y = 12x + 41
A homeowner's electric bill for the month was $155.80 for 1,900 kilowatt-hours of
energy used. If no electricity is used there is no charge for service. Which
equation represents the cost in dollars of the electricity, y, and the number of
kilowatt-hours of energy used, x?
A. y = 12.2x
B. y = 0.082x
C. y = 0.12%
D. y = 8.2x
. Mira bought $300 of Freerange Wireless stock in
January of 1998. The value of the stock is expected
to increase by 7.5% per year. Use a graph to predict
the year the value of Mira's stock will reach $650.
You want to take out a $219,000 mortgage (home loan). The interest rate on the loan is 4.5%, and the loan is for 30 years. Your monthly payments are $1,109.64. How much will still be owed after making payments for 15 years? Round your answer to the nearest dollar.
After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.
To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:
Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)
where:
P = the initial loan amount (in this case, $219,000)
r = the monthly interest rate (which is the annual interest rate divided by 12)
n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)
b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)
First, we need to calculate the monthly interest rate:
r = 4.5% / 12 = 0.00375 = 0.375%
Next, we can plug in the values to get:
Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)
= $145052.36
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Sketch a graph of f(x)={- 5 if x < -2 2x-1 if-2 < x≤ 2 0 if x>2. (piecewise)
A graph of the given piecewise-defined function is shown in the image below.
What is a piecewise-defined function?In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.
Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.
In conclusion, this piecewise-defined function has a removable discontinuity.
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there are 250 toothpicks in a regular-size box. A jumbo-size box is made by tripling the length, width, and height of the regular box. How many toothpicks will the jumbo box hold?
The number of toothpicks that the jumbo box hold is 6760.
How to calculate the value?From the information, there are 250 toothpicks in a regular-size box and jumbo-size box is made by tripling the length, width, and height of the regular box.
Therefore, the number of toothpicks will be illustrated by multiplying the value by the change. This will be:
= 250 × 3 × 3 × 3
= 6750
This was because the dimensions were tripled
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For BRAINLIST!!
Which statement is best supported by the information in the dot
plots?
Answer: D
Step-by-step explanation: because the The plot has 20 dots and it cannot be greater than or less then
Determine whether the given function is a solution to the given differential equation.
x =2cost - 3sint, x'' +x =0
Given :
A function , x = 2cos t -3sin t .....equation 1.
A differential equation , x'' + x = 0 .....equation 2.
To Find :
Whether the given function is a solution to the given differential equation.
Solution :
First derivative of x :
\(x'=\dfrac{d(2cos t - 3sin t)}{dt}\\\\x'=\dfrac{d(2cost)}{dt}-\dfrac{(3sint)}{dt}\\\\x'=-2sint-3cost\)
Now , second derivative :
\(x''=\dfrac{d(-2sint-3cost)}{dt}\\\\x''=-\dfrac{d(2sint)}{dt}-\dfrac{d(3cost)}{dt}\\\\x''=-2cost+3sint\)
( Note : derivative of sin t is cos t and cos t is -sin t )
Putting value of x'' and x in equation 2 , we get :
=(-2cos t + 3sin t ) + ( 2cos t -3sin t )
= 0
So , x'' and x satisfy equation 2.
Therefore , x function is a solution of given differential equation .
Hence , this is the required solution .
Simplify the expression to a polynomial in standard form: (4x+5) (x^2-3x-2) PLEASE HLEP
Answer:
\(4x^3-7x^2-23x-10\)
Step-by-step explanation:
So we have the expression:
\((4x+5)(x^2-3x-2)\)
Distribute. Multiply (4x+5) to each term:
\((x^2)(4x+5)+(-3x)(4x+5)+(-2)(4x+5)\)
Distribute:
\(=(4x^3+5x^2)+(-12x^2-15x)+(-8x-10)\)
Combine like terms:
\(=(4x^3)+(5x^2-12x^2)+(-15x-8x)+(-10)\)
Add and simplify:
\(=4x^3-7x^2-23x-10\)
And this is in descending order, so it's in standard form.
Is this statement true or false? x = 4 is a solution to x – 5 >20
A true
B false
Answer:
B False
I had the same question and got it right
...................................................................
Answer:
29 degrees
Step-by-step explanation:
Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees
Matt has started a car washing business to save money for college. Each week, he
washes 3 more cars than he did the week before.
Answer:
Since this equation is not complete, I will just give an example.
Step-by-step explanation:
Lets say Matt starts out with 6 cars in week one. For the next week, just add the number 3 to the preexisting number (6), which will give you 9. Now, lets say he washes cars for 10 weeks to save money. All you would have to do is add a 3 each time to the preexisting number. So, it would go 6, 9, 12, 15, 18, 21, 24, 27 30, 33. The answer to the equation I created above is 33. I hope this helps you solve your question.
5 Here is a diagram of a dolls house Jayden has made.
0. 37 m
0. 75 m
0. 63 m
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
0. 7 m
0. 96 m
Two faces are each in the shape of a pentagon with a vertical line of symmetry.
All other faces are rectangular.
The base angles of each pentagon are right angles.
Jayden wants to cover all the surfaces of the dolls house with paint.
He knows the total area of the base and the roof is 1. 3824 m?
Jayden has enough paint to cover 3. 5m?
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
Has Jayden got enough paint to cover all the surfaces of the dolls house?
Show why you think this.
(5)
Jayden does not have enough paint to cover all the surfaces of the dolls house
How to determine if he has enoughThe complete question is added as an attachment
From the question, we have
Lateral area = Sum of the area of the sides
Using the given dimensions, we have
Lateral area = 2 * 0.7 * 0.63 + 2 * 0.96 * 0.63 + 0.7 * (0.75 - 0.63)
Evaluate
Lateral area = 2.1756
So, the total area is
Total = 2.1756 + 1.3824
Evaluate
Total = 3.558
3.558 is greater than 3.5
Hence, he does not have enough
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A forest contains 20 elks, of which 5 are captured, tagged, and then released. A certain time later 4 of the 20 elks are captured. What is the probability that 2 of these 4 have been tagged?
Answer:
Step-by-step explanation:
P{2 of 4 tagged}=(52)(152)(204)
=0.2167
I need help with this work plz
Answer:
wheres the work???⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
where's the screenshot?
What is the total surface area
Answer:
Step-by-step explanation: