Answer:
747 people per square mile
Step-by-step explanation:
population of city's town hall = 150,000
Radius of city's town hall = 8 mile
area of any circular shape is given by [tex]\pi r^2[/tex].
r is the radius of circle.
p
Area of city's town hall = [tex]\pi r^2= 3.12*8^2 = 3.14*64 = 200.96[/tex]
Population density for any place is ratio of population of that place to area of that place
Thus
Population density for city's town hall = population of city's town hall /Area of city's town hall
Population density for city's town hall = 150,000/200.96
Population density for city's town hall= 746.42 people per square mile.
Population density for city's town hall Rounded to the nearest whole number is 747 people per square mile.
five consecutive multiples of 3 add up to 105. What is the second smallest number
89 points!
Answer:
18
Step-by-step explanation:
Let's call the first number n. The next four numbers will be n + 3, n + 6, n + 9 and n + 12. Then, we have
n + n + 3 + n + 6 + n + 9 + n + 12 = 105
5n + 30 = 105
5n = 75
n = 15
The second smallest number is n + 3 which is 15 + 3 = 18.
Answer:
18
Step-by-step explanation:
You have found the following ages (in years) of all 4 zebras at your local zoo: 14, 15, 9, 1 What is the average age of the zebras at your zoo? What is the variance?
Answer:
9.8. is the Average Age
30.7 is the Variance
Step-by-step explanation:
9.8 is the Average Age and the 30.7 is the Variance.
What is Variance?The term variance refers to a statistical measurement of the spread between numbers in a data set.
Given that, 4 zebras at a local zoo have ages 14, 15, 9, 1,
We need to find the average age and the variance,
we know that,
Average = Sum of all the values of the set given / Number of values in the set
And,
Variance = sum of all the values of (x - means) ² / (n)
So,
Average age = 14 + 15 + 9 + 1 / 4 = 39/4 = 9.75
Variance =
(14-9.75) ² = 18.06
(15-9.75) ² = 27.56
(9-9.75) ² = 0.5625
(1-9.75) ² = 76.56
= 18.06 + 27.56 + 0.5625 + 76.56 / 4
= 30.68 ≈ 30.7
Hence, 9.8 is the Average Age and the 30.7 is the Variance.
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What is the equation of the exponential function graphed below?
Answer:4
Step-by-step explanation:
Answer:D
Step-by-step explanation:
Y=e^x
Plz need help with this question asap!!!
Answer:
A.
Step-by-step explanation:
The expression (1/4) * d + 7 really just means "one-fourth times d, plus 7"
Option A says the same expression, as we know that the product means multiplication, and that we add 7 at the end. For this reason, it is the correct response.
I hope this helps!
hello,
here is your answer:
**********
The product of one-fourth and a number, plus seven.
**********
hope this helped,
:)
megan is performing a science experiment on a particular type of bacteria.she starts with 10 cells and she finds that the number of bacteria can be modeled by the following equation where y is the number of bacteria and t is the number of hours since the experiment started
Answer:
You can change the number of bacteria which is y, by the number of hours. So the equation would be like = t is 10y. ( In this case, y is 1 cell )
Step-by-step explanation:
I hoped this helped!
Which of the following describes the transition of the graph of y = x^2 yo obtain the graph of y = -x^2 +3?
Answer:
The graph is reflected over the x axis and shifted up three units
Which ordered pair is a solution of the equation?
y= 7x - 3
Choose 1 answer:
Answer:
[tex]\frac{3}{7}, -3[/tex]
Step-by-step explanation:
[tex]7x-3=0[/tex]
[tex]7x-3+3=0+3[/tex]
[tex]7x=3[/tex]
[tex]\frac{7x}{7}=\frac{3}{7}[/tex]
[tex]x=\frac{3}{7}[/tex]
[tex]\left(\frac{3}{7},\:0\right)[/tex]
[tex]y=7\cdot \:0-3[/tex]
[tex]y=0-3[/tex]
[tex]y=-3[/tex]
[tex]\left(0,\:-3\right)[/tex]
Answer:
3/7, 0
Step-by-step explanation:
7x-3=0
7x = 3
x = 3/7
substitute
y = 7(3/7) - 3
7s cancel out
y = 3 - 3
y= 0
Tell whether each statement is a proportion:
3:9 = 6:18
28:7 = 64:16
95:100 = 17:20
60:80 = 14:16
200:300=24:36
Answer:
1. Yes
2. No
3. No
4. No
5. Yes
Step-by-step explanation:
Do you mean equal proportion?
1. 3 : 9 = 6 : 18 TRUE because 3 : 9 = 1 : 3 and 6 : 18 = 1 : 3
2. 28 : 7 = 64 : 16 FALSE because they are just not related.
3. 95 : 100 = 17 : 20 FALSE because the closest they get are 19 : 20 ≠ 17 : 20
4. 60 : 80 = 14 : 16 FALSE because the closest they get are 60 : 80 = 6 : 8 and 14 : 16 = 7 : 8
5. 200 : 300 = 24 : 36 TRUE because 200 : 300 = 2 : 3 and 24 : 36 = 2 : 3
Help me factorise these please :)
Answer:
Tell me if i'm wrong and stuff
Answer:
A:x ( x + 3 )
B:2 x ( x − 4 )
C:3 x ( 2 + 3 x 2 )
D:4 x 2 ( 3 x − 1 )
Step-by-step explanation:
hope this helps
mark me brainly
write this trinomial in factored form 4b^2 + 17b + 15
Answer:
(b + 3)(4b + 5)
Step-by-step explanation:
Given
4b² + 17b + 15
Consider the factors of the product of the b² term and the constant term which sum to give the coefficient of the b- term.
product = 4 × 15 = 60 and sum = 17
The factors are 12 and 5
Use these factors to split the b- term
4b² + 12b + 5b + 15 ( factor the first/second and third/fourth terms )
= 4b(b + 3) + 5(b + 3) ← factor out (b + 3) from each term
= (b + 3)(4b + 5) ← in factored form
Question #2 [tex]5x+9\leq 4[/tex]
37.68 yards that is the circumference I want to know what the radius is
The equation for the circumference is 2 pi r. You have the circumference given.
Now, divide that by pi to get 2 r.
This is approximately 11.63.
Now, divide that by 2 to get the radius.
Radius = 5.14 yards.
The number of girls in a classroom is greater than the number of boys. There are more than girls. Write system of inequalities to model this situation. Use x to represent the number of boys and y to represent the number of girls
Answer:
Step-by-step explanation:
Required
Represent the relationship between population of girls and boys
From the question, we have that
[tex]Boys = x\\Girls = y[/tex]
Given that y is greater than x in the classroom;
One of the keywords in the given data is "Greater than"
The inequality to represent the system is the greater than sign;
In other words, >
Bringing x, y and > together to form a complete inequality; we have
[tex]Girls > Boys[/tex]
Replace Girls with y and Boys with x
[tex]y > x[/tex]
A bag has 4 balls: 1 red (R), 1 green (G), 1 yellow (Y), and 1 blue (B).
You randomly choose a ball. What is the sample space?
A. {R, G, Y, B}
B. {R, B, Y, O)
C. {R}
D. {G}
Answer:
The correct answer is A. {R,G,Y,B}.
Step-by-step explanation:
The sample space for the given information is A. {R, G, Y, B}.
What is a sample space?A sample space can be defined as a set of all possible outcomes of a random experiment.
The sample space is represented by the symbol, ‘S’. Sample space can also be expressed using the set notation, {}.
Given that, a bag has 4 balls: 1 red (R), 1 green (G), 1 yellow (Y), and 1 blue (B), we need to find the sample space for this data,
So,
Since, the sample space is the all the data in the set,
Therefore, the whole set is = 1 red (R), 1 green (G), 1 yellow (Y), and 1 blue (B).
Therefore,
S = {R, G, Y, B}
Hence, the sample space for the given information is A. {R, G, Y, B}.
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Find a positive angle less than 360° that is coterminal with the given angle.
620°
A positive angle less than 360° that is coterminal with 620° is...
Answer:
260
Step-by-step explanation:
31/x=248/320
Solve for x
Answer:
X =(31×320)÷248
=9920÷248
X =40
This two-way frequency table gives the results of a screening test for heart disease conducted by determining the cholesterol level in the blood
samples of 750 patients.
Question 1
Using the two-frequency table, compute the probability of having high cholesterol. Or Phigh cholesterol)
Answer:
The probability of having high cholesterol = 0.496
Step-by-step explanation:
Given frequency data table
cholesterol level
Normal High Total
Heart diseases Yes 11 223 234
No 367 149 516
Total 378 372 750
Given data
The Cholesterol level is high n ( High cholesterol) = 372
Total n( S) = 750
The probability of having high cholesterol level
P( E) = [tex]\frac{n(E)}{n(S)} = \frac{372}{750} = 0.496[/tex]
In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ? Individual Question 158 132 120 110 70
Answer:
[tex]x=112[/tex]
Step-by-step explanation:
The opposite angles of a parallelogram are equal.
Find the value of "k", given that one solution of the equation 2x² kx + 12 = 0 is
is -3/2
Answer:
Is there a picture to it.
that will me helpful for me
Step-by-step explanation:
Willing to help
Find the measure of an exterior angle of a regular polygon with 36 sides
Answer: The sum of the measures of the exterior angles in a convex polygon is 360 degrees (this can be proven using the sum of the interior angles). Since each exterior angle measures 36 degrees, there are 10 sides to the polygon.
Step-by-step explanation:
An airplane is flying at 350 km/h in a direction of 349 degrees. Find the westerly and northerly components of its velocity.
The westerly and northerly components of the velocity of a flying airplane are 343.5 km/h and 66.7 km/h respectively.
Given in the question,
The airplane is flying at 350km/h in a direction of 349 degrees.
so, the airplane is flying 360-349=11degrees from the east as shown in the image.
The northerly component is 350*sin11degrees and the westerly component is 350*cos11degrees.
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Yesterday, Bridget's Snack Shack went through 2 bottles of ketchup. If they used 2 3/5 times
as much mustard as ketchup, how many bottles of mustard did they go through?
Write your answer as a fraction or as a whole or mixed number.
bottles
Submit
I don't know this yet >
Answer: 26/5
Step-by-step explanation:
Mustard used was 2 3/5 as much as ketchup =
2 x 2 3/5
= 2 x 13/5
= 26/5
Which expression is equivalent to −1 3/8?
A. -1 -3/8
B -1 +3/8
C. 1+3/8
D. 1-3/8
Answer:
It's A.
Step-by-step explanation:
-1 3/8 means 1 and 3/8 less than zero so its 0 - 1 then - another 3/8.
Answer:
a
Step-by-step explanation:
this is because a is equal to -1 +-3/8 which is -1 3/8
Why does 3-(x+1)=3-x-1? Use the distributive property.
[tex]3-(x+1)=3-x-1[/tex]
[tex](+3)-(x+1)[/tex]
[tex](+3)-1(x+1)[/tex]
Distribute the -1 to (x+1)
[tex](+3)-1x-1[/tex]
[tex]3-x-1[/tex]
[tex]-x+2[/tex]
3-1(x+1) = 3-x-1
Step 1. distribute the negative sign
2(-x-1) = 3-x-1
Step 2. distribute the 3
-2x-3= 3-x-1
add 3 on both sides
-2x = 6 - x - 1
add x to both sides
-1x = 6 - 1
-1x=5
x=5
SO..... u have to plug 5 in
Which of the following has a denominator of 6?
a. 6 2/3
b. 16/18
c. 6/7
d. 1/6
Answer:
D
Step-by-step explanation:
The denominator is the bottom number in a fraction, while the numerator is the top number.
numerator/denominator
Let's analyze the answer choices.
A. 6 2/3
The bottom number of the fraction is a 3, so this cannot be correct.
B. 16/18
The denominator here is 18, so this choice is also incorrect.
C. 6/7
In this fraction the numerator is a 6, but the denominator is a 7, so this choice is also wrong.
D. 1/6
This choice is the correct answer. The denominator, or bottom number is a 6.
The answer is D. 1/6.
Answer:
D
Step-by-step explanation:
Numerator/ denominator
Upper part of a fraction is numerator & down part of the fraction is denominator
Here is a pattern made up of tiles.
How many tiles will be in the 5th Pattern?
Answer:
26 tiles
Step-by-step explanation:
In the picture attached, the pattern is shown.
From the picture, we can see that:
the 1st pattern has 6 tilesthe 2nd pattern has 6 + 5 = 11 tiles the 3rd pattern has 11 + 5 = 16 tilesTherefore, the next patterns will have:
4th pattern, 16 + 5 = 21 tiles5th pattern, 21 + 5 = 26 tilesGina makes fruit bags. Each bag has 2 apples and 3 oranges.
What is the ratio of the number of apples in each bag to the total number of fruit in each bag? Move numbers to the lines to complete the
sentence.
Answer:
2:5
Step-by-step explanation:
While bowling with friends, Brandy rolls a strike in 8 out of 10 frames. What is the experimental probability that Brandy will roll a strike in the first frame of the next game? Enter your answer as a simplified fraction.
He rolled 8 strikes out of 10 tries.
This make the probability of rolling a strike 8/10 which reduces to 4/5
The answer is 4/5
For f(x)-3x+1 and g (x)-x^2-6 find (f•g)(x)
Answer & Step-by-step explanation:
For this problem, all we have to do is multiply the two expressions.
f(x) = 3x + 1
g(x) = x² - 6
Now, let's set up our equation for multiplication.
(f * g)(x) = (3x + 1)(x² - 6)
(f * g)(x) = 3x³ - 18x + x² - 6
(f * g)(x) = 3x³ + x² - 18x - 6
So, (f * g)(x) is 3x^3 + x^2 - 18x - 6
the correct Answer is
3x^3+x^2-18x-6
what is the inverse of the function f(x) equals 1/9 X +2
Answer:
1/9x-2
Step-by-step explanation:
