Answer:
If the current population is 850,000. Next year it will be 935,000, and the year following that it will be 1,028,500. This is a linear growth (its growth has a common ratio).
Answer:
1,028,500 people
Step-by-step explanation:
When finding the percentage of a number you moved the decimal place over twice and then multiply.
850,000 x 0.10 = 85,000
10% of 850,000 is 85,000
I then found the population of the 1st year
85,000 + 850,000 = 935,000
then I found 10% of that 1st year
935,000 x 0.10 = 93,500
then added 85,000 and 93,500 to find the population growth in the 2 years
85,000 + 93,500 = 178,500
Then added the population growth to the original population
178,500 + 850,000 = 1,028,500 people
(I'm sorry, my last answer was wrong)
Hope this helps! :)
A square has a diagonal of length 12. Find the length of each side.
Answer:
3
Step-by-step explanation:
12÷4=3
Hope this will help you!
You want to know the mean number of hours music students at your school practice each week. At each of three music classes you randomly survey 10 students. Your results are shown. Use all three samples to make one estimate for the mean number of hours music students practice each week. Round to the nearest hundredth if necessary. Hours Practiced Each Week A: 6, 5, 5, 6, 4, 6, 8, 5, 2, 6 B: 0, 6, 6, 5, 4, 5, 6, 3, 4, 9 C: 4, 5, 6, 4, 3, 2, 2, 3, 12, 1 The mean of all the sample data is hours.
The mean of a dataset is the average of the dataset
The mean of all the sample data is 4.67 hours
How to determine the meanThe datasets are given as:
Week A: 6, 5, 5, 6, 4, 6, 8, 5, 2, 6
Week B: 0, 6, 6, 5, 4, 5, 6, 3, 4, 9
Week C: 4, 5, 6, 4, 3, 2, 2, 3, 12, 1
The mean of a dataset is:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
Week A
[tex]\bar x_A = \frac{6+ 5+ 5+ 6+ 4+ 6+ 8+ 5+ 2+ 6 }{10}[/tex]
[tex]\bar x_A =5.3[/tex]
Week B
[tex]\bar x_B = \frac{0+ 6+ 6+ 5+ 4+ 5+ 6+ 3+ 4+ 9}{10}[/tex]
[tex]\bar x_B = 4.8[/tex]
Week C:
[tex]\bar x_C = \frac{4+ 5+ 6+ 4+ 3+ 2+ 2+ 3+ 12+ 1}{10}[/tex]
[tex]\bar x_C = 4.2[/tex]
Calculate the mean for the three weeks
[tex]\bar x = \frac{5.3 + 4.8 + 4.2}{3}[/tex]
[tex]\bar x = 4.76[/tex]
Hence, the mean of all the sample data is 4.67 hours
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if u dont know the answer then dont say nothing if u do pls help
answer:
x = 0.875
explanation:
4 ( 5 - 7x ) = 6 - 12x20 - 28x = 6 - 12x20 - 6 = -12x + 28x14 = 16xx = 14/16x = 7/8x = 0.875Thanks for the help!!
9) pi/3 = 180 /3 = 60⁰
the other angle = 90-60=30⁰
10) 2pi/9 = 360/9 = 40⁰
the other angle = 90+40=130⁰
11) arc length = 2pi * r * (θ/360)
= 2pi * 16 * (270/360)
= 75.4 km
12)arc length = 2pi * r * (θ/360)
3 * 180/4 = 135⁰
135/360 =0.375
2pi * 6 * 0.375 =14.13 in
13) arc length = 2pi * r * (θ/360)
= 9 *2pi *(255/360) =40.05 mi
14)arc length = 2pi * r * (θ/360)
=23.56 mi
Multiply: –c2(3c – 2) Apply the distributive property. Multiply. –c2(3c) (–c2)(–2) c3 c2.
The distributive property is applied to multiply the expression [tex]\rm -c^2 (3c - 2)[/tex]. Then the result is [tex]\rm -3c^3 + 2c^2[/tex].
What is distributive property?The distributive property is to make something easier to do or understand and to make something less complicated.
The expression is [tex]\rm -c^2 (3c - 2)[/tex].
On multiply, we have
[tex]\rm -c^2 *(3c) -c^2 (- 2) \\\\-3c^3 + 2c^2[/tex]
The distributive property is applied to multiply the expression [tex]\rm -c^2 (3c - 2)[/tex]. Then the result is [tex]\rm -3c^3 + 2c^2[/tex].
More about the distributive property link is given below.
https://brainly.com/question/13130806
Answer:
The distributive property is applied to multiply the expression . Then the result is .
What is distributive property?
The distributive property is to make something easier to do or understand and to make something less complicated.
The expression is .
On multiply, we have
The distributive property is applied to multiply the expression . Then the result is .
More about the distributive property link is given below.
brainly.com/question/13130806
Step-by-step explanation:
How can you use a sequence of transformations to map a preimage to its image?
Answer:
You can use a sequence of two or more transformations to map a preimage to its image. You can map AABC onto AA"B"C" by a translation 3 units right followed by a 90° clockwise rotation about the origin.
A sequence of transformations to map a preimage to its image is reflection.
It is required to find the transformations to map a preimage to its image.
What are transformations?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
Given:
Transformation maps the pre-image, DEFG, to the image, D'E'F'G'. The transformation is a reflection.
The line of reflection must go through the center point. Two lines of reflection go through the sides of the figure. Two lines of reflection go through the vertices of the figure. Thus, there are four possible lines that go through the center and are lines of reflections.
Therefore, a sequence of transformations to map a preimage to its image is reflection.
Learn more about transformations here:
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#SPJ2
what is 1875 ÷ 125 (show ur work do long divison)
answer is 15 explained in image .
help on perimeter pls
Answer:
59
Step-by-step explanation:
pls don't take my word as a final answer pls if u can do some more research
2. in the figure, x is an exterior angle to the triangle below. (
a) explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the equation with the steps/work that proves this theorem.
Step 1: __
Step 2: __
Step 3: __
(b) what is the measurement of
Answer:
< x = 120°
Step-by-step explanation
Step 1:
According to angle sum property,
y + 50 + 70 = 180
Step 2:
x and y are linear pairs, forming a supplementary angle.
Therefore,
x + y = 180
Step 3:
Since they are both equal to 180, equate the values
y + 50 + 70 = x + y
x = 70 + 50
x = 120
Find the perimeter of the figure.
Answer: The perimeter is 122 m.
Step-by-step explanation: The perimeter equation of a pentagon is P = s + s + s + s + s
You can therefore add all the sides of the pentagon and this will be your perimeter.
can you guys please help me on my homework? It would mean a lot to me :)
Answer:
For the top half add all of the numbers of a given set together, then divide by how many numbers there are.
1.) 9
2.) 7
3.) 4
4.) 3
5.) 47.5
6.) 67 1/3
For the bottom half questions, literally the same thing.
7.) 9
8.) 34
9.) 66
10.) -28
11.) -21
12.) 3
Step-by-step explanation:
your welcome for doing you 2 minute homework
Need help with this please
Answer:n
geadeeeeeeeeeee
Step-by-step explanation:
HELP NEEDED ASAP I NEED HELLLLPPP
Answer:
x = 14
Step-by-step explanation:
(4y - 10) + 3x = 180
in other hand: 4y - 10 = 9x + 12
so : (9x + 12) + 3x = 180
9x + 3x = 180 - 12
12x = 168
x = 168/12
x = 14
What is the derivative of Cos(x) when x is measured in degrees?.
Answer:
- sinx
Step-by-step explanation:
This is a standard derivative and applies to angles in degrees or radians.
[tex]\frac{d}{dx}[/tex] (cosx ) = - sinx
Answer:
[tex]\huge\purple{- \frac{\pi}{180}\sin \: \bigg( \frac{\pi x}{180}\bigg)}[/tex]
Step-by-step explanation:
[tex]x \degree = \frac{\pi x}{180} \\ \\ \implies \: \cos \: (x \degree) = \cos \:\bigg( \frac{\pi x}{180}\bigg) \\ \\ \implies \: \frac{d}{dx} \cos \: (x \degree) = \frac{d}{dx} \: \cos \: \bigg( \frac{\pi x}{180}\bigg) \\ \\ = - \sin \: \bigg( \frac{\pi x}{180}\bigg)\frac{d}{dx} \bigg( \frac{\pi x}{180}\bigg) \\ \\ = - \sin \: \bigg( \frac{\pi x}{180}\bigg) \bigg(\frac{\pi}{180}\bigg) \\ \\ \huge \red{= - \frac{\pi}{180}\sin \: \bigg( \frac{\pi x}{180}\bigg)}[/tex]
If italic sin open parentheses 2 x close parentheses equal italic cos open parentheses x plus 30 degree close parentheses comma what is the value of x?.
Using complementary angles, it is found that the solution to the trigonometric equation is of x = 20.
What are complementary angles?Complementary angles are two angles whose measures add to 90º.
If two angles a and b are complementary, we have that the sine of one is the cosine of other, that is:
[tex]\sin{a} = \cos{b}[/tex]
In this problem, the equation is:
[tex]\sin{(2x)} = \cos{(x + 30)}[/tex]
Hence, they are complementary, which means that:
[tex]2x + x + 30 = 90[/tex]
[tex]3x = 60[/tex]
[tex]x = \frac{60}{3}[/tex]
[tex]x = 20[/tex]
The solution to the trigonometric equation is of x = 20.
More can be learned about complementary angles at https://brainly.com/question/11161460
Q6. NON-CALCULATOR
x + 2/3x +
x-2/2x =3
in file
Step-by-step explanation:
PLS HURRY!
What is the lowest value of the range of the function
shown on the graph?
5
4
- od
3
0-2
2-
Ο Ο
1
O 3
-5 -4 -3 -2 -11
1 2 3 4
5
х
-2
-3
-4
+ >
Answer: -2
Step-by-step explanation:
Jimmie selects a marble from a bag, notes the color, and returns the marble to the bag. After 40 trials, he selects 12 orange marbles, 18 green marbles, and 10 blue marbles. Which of the following experimental probabilities are correct based on the results?
Answer:
C) P(not orange) = 7/10; P(not green) = 11/20; P(not blue) = 3/4
Step-by-step explanation:
The sum of the probabilities of all outcomes must equal 1.
Total trials = 40
If he selects 12 orange marbles out of 40 trials, then
P(orange) = 12/40 = 3/10
⇒ P(not orange) = 1 - 3/10 = 7/10
If he selects 18 green marbles out of 40 trials, then
P(green) = 18/40 = 9/20
⇒ P(not green) = 1 - 9/20 = 11/20
If he selects 10 blue marbles out of 40 trials, then
P(blue) = 10/40 = 1/4
⇒ P(not blue) = 1 - 1/4 = 3/4
Which equation is linear
Answer:
Step-by-step explanation:
How to identify a linear line:
has form: y = mx + c.A linear equation graphed looks like a straight line Has constant slope value.the degree of a linear function is oneBased on our previous information:
The answer is the first choice since the equation holds the form y = mx + c and has a degree of one and has a constant slope value.
Hope that helps!
25 POINTS. If 16 ounces of chlorine are needed in a 12,500-gallon pool, how many ounces of chlorine are needed in a 5,000-gallon pool?
7.6 ounces
3.2 ounces
6.4 ounces
5.9 ounces
Answer:
6.4 ounces
Step-by-step explanation:
Monomials. Pls hurry. I have a test.
(3p^7)^4
Answer:
81p^28
Step-by-step explanation:
3^4=81
7 times 4 =28
Which choice is a linear function?
Explain
Please Help
Answer:
Option C
Step-by-step explanation:
Given the following question:
Using the process of elimination, we can find the answer:
It's not option A, because in order for a table to be a linear function the change of x, and the change of y have to be constant. In this case our change in y goes through -2, to -1. Which means option A is not a linear function.
It's not option A because again in order for a table to be a linear function the change of x and the change of y have to be constant. In this case our change of x is constant but our change in y isn't.
It's not option D because in order to have a linear function, you have to be able to rewrite the function into slope intercept (y = mx + b) in this case we only have one real number which is 12, while having our x, and y variable. Which means option D isn't a function.
Which leaves option C or "4x + 3y = 12" which is your answer, because it can be rewritten in slope intercept form.
Hope this helps.
you have deposited $400 in a simple interest savings account which place 3% interest annually.
Find the amount of interest for 0, 5, 10, 15, and 20 years.
Add the interest to $400 and fill in the table round the amounts to the nearest dollar.
Answer:
0 years: $0
5 years: $460
10 years: $520
15 years: $580
20 years: $640
Step-by-step explanation:
I am taking a test tomorrow in math and it's on probability, I am having trouble with want that is can someone help and try and explain it to me better then my math teacher?? an example problem, If I have I have 8 M&Ms 2 red, 3 blue and 3 green, and it the change of getting a red M&M? I think it would be 2/8 but I know I probably wrong
Answer:
1/4
Step-by-step explanation:
probability is the number of possible solutions over the number of outcomes, so in this example, you would take the 2 possibilities of getting a red M&M, and pot it over all the possible M&Ms you could get, so it is 2/8, which simplifies to 1/4, so you are correct
PLEASE HELP!!
The length of a square is 4x-3, find the area in terms of x
Answer:
16[tex]x^{2}[/tex]−24x+9
Step-by-step explanation:
A=s^2
s=4x-3
A=(4x-3)^2
(a-b)^2=a^2-2ab+b^2
A=16x^2-2(12x)+9
A=16x^2-24x+9
What is the value of x?
Enter your answer in the box.
Answer:
x = 68 feet is your answer
a1 = -2 r=-2 Sn=22 Determine the number of terms of n in the series
A series can be an arithmetic series or geometric series
The series is undefined
How to determine the number of terms?The given parameters about the geometric series are:
a1 = -2 --- the first term
r=-2 --- the common ratio
Sn=22 --- the sum of n terms
The sum of n terms of a geometric series is represented as:
[tex]S_n = \frac{a(r^n - 1)}{(r-1)}[/tex]
Substitute known values
[tex]22 = \frac{-2((-2)^n -1)}{(-2-1)}[/tex]
This gives
[tex]22 = \frac{-2((-2)^n -1)}{(-3)}[/tex]
Divide both sides by -2
[tex]-11 = \frac{((-2)^n -1)}{(-3)}[/tex]
Multiply both sides by -3
[tex]33 = (-2)^n -1[/tex]
Add 1 to both sides
[tex](-2)^n = 34[/tex]
Take the natural logarithm of both sides
[tex]n\ln(-2) = \ln(34)[/tex]
Solve for n
[tex]n= \frac{\ln(34)}{\ln(-2) }[/tex]
The above number is a complex number.
Hence, the series is undefined
Read more about geometric series at:
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Which statement best describes the association between variable X and variable Y?
perfect negative association
no association
moderate positive association
strong negative association
you would need to cross over
What is the equation of the line that passes through the point (5, -6) and has a
slope of -3/5?
How many dots are there at 100 minutes?
Answer:
I need more information.
Step-by-step explanation:
Answer:
401
Step-by-step explanation:
i know the answer cuz i did this before.
The pattern is that for every minute four dots are added diagnally. To find how many doths there are at 100 minutes we will multiply 4 x 100 and then add one for the dot e started at. 4 x 100 = 400 + 1 = 401
At 100 minutes there will be 401 dots.
