Answer:
the population will be 16,000
what is the center?
the circle passes through the point (-7,-7). what is the radius?
We have been given image of circle that passes through point [tex](-7,-7)[/tex]. We are asked to find the radius of the circle.
First of all, we will find the center of the circle.
We can see that center of circle is at point [tex](-2,-1)[/tex].
Now we will use equation of circle to find radius.
[tex](x-h)^2+(y-k)^2=r^2[/tex], where, point (h,k) represents center of circle and r represents radius of circle.
Now we will substitute the coordinates of point [tex](-7,-7)[/tex] and coordinates of center [tex](-2,-1)[/tex] and solve for r as:
[tex](-7+2)^2+(-7+1)^2=r^2[/tex]
[tex](-5)^2+(-6)^2=r^2[/tex]
[tex]25+36=r^2[/tex]
[tex]61=r^2[/tex]
Switch sides:
[tex]r^2=61[/tex]
Now we will take positive square root on both sides:
[tex]\sqrt{r^2}=\sqrt{61}[/tex]
[tex]r=\sqrt{61}[/tex]
Therefore, radius of circle will be [tex]\sqrt{61}[/tex] and center is at point [tex](-2,-1)[/tex].
Joe has 10 marbles. Ken has fewer marbles than Joe. Which inequality represents the
number of marbles m that Ken has?
m
= 10
m
<10
m
> 10
m
< 10
Answer:
The 2nd and 4th (m<10)
Step-by-step explanation:
The symbol used is a less than sign, so the inequality is saying m is less than 10, and since Ken=m Ken has fewer marbles.
Answer:
Step-by-step explanation:
The base of a rectangular prism has an area of 19.4 square meters and the prism has a volume of 306.52 cubic meters. Write an equation that can be used to find the height h of the prism. Then find the height of the prism.
Answer:
15.8
Step-by-step explanation:
The formula would be V = Bh, the Base being LxW.
Since we already know the base and volume, we can substitute it into the formula.
306.52 = 19.4(h). Divide by 19.4, and you get 15.8 as your answer.
Hope that helps! Tell me if im worng, im only a student .m.
Find the volume of the cone whoever answers first gets brainiest!
Answer:
157.08
pi x radius x radius x height/3
Step-by-step explanation:
Answer:
V≈157.08
Step-by-step explanation:
I used the formula for a cone:
V=πr2h/3 (h/3 as in a fraction)
Math question down below
Answer:
2 3/8
Step-by-step explanation:
5 1/8 - 2 3/4
= 5 1/8 - 2 6/8
= 4 9/8 - 2 6/8
= 2 3/8
Evaluate 3a + b to the second power if a=2 and b=3
PS : can you help me with 1, 2 and 3 ?!
Answer:
1. 3
2. 3
3. 15
Step-by-step explanation:
What is the value of x in the equation.
2/3(1/2x+12)=1/2(1/3x+14)-3?
A:-24
B:-6
C:-2/3
D:0
Answer:
A
Step-by-step explanation:
Our equation is:
[tex]\frac{2}{3} *(\frac{1}{2} x+12)=\frac{1}{2} *(\frac{1}{3} x+14)-3[/tex]
Let's first distribute the left side. When distributing, we essentially find the sum of the product of the outside term with each of the inside terms. Here, the outside term is 2/3 and the inside terms are 1/2x and 12. So:
[tex]\frac{2}{3} *(\frac{1}{2} x+12)=\frac{2}{3} *\frac{1}{2} x+\frac{2}{3} *12=\frac{1}{3} x+8[/tex]
Now distribute the right side. Here, the outside term is 1/2 and the inside terms are 1/3x and 14, so:
[tex]\frac{1}{2} *(\frac{1}{3} x+14)-3[/tex]
[tex]\frac{1}{2} *(\frac{1}{3} x+14)-3=\frac{1}{2} *\frac{1}{3} x+\frac{1}{2} *14-3=\frac{1}{6} x+7-3=\frac{1}{6} x+4[/tex]
We now have:
[tex]\frac{1}{3} x+8=\frac{1}{6} x+4[/tex]
Isolate the variable by bringing 1/6x to the left and bringing 8 to the right:
[tex]\frac{1}{3} x-\frac{1}{6} x=4-8[/tex]
[tex]\frac{2}{6} x-\frac{1}{6} x=-4[/tex]
[tex]\frac{1}{6} x=-4[/tex]
x = -4 * 6 = -24
The answer is A.
Steps to solve:
2/3(1/2x + 12) = 1/2(1/3x + 14) - 3
~Distribute
1/3x + 8 = 1/6x + 7 - 3
~Combine like terms
1/3x + 8 = 1/6x + 4
~Subtract 1/6x to both sides
1/3x + 8 - 1/6x = 1/6x + 4 - 1/6x
~Simplify
1/6x + 8 = 4
~Subtract 8 to both sides
1/6x + 8 - 8 = 4 - 8
~Simplify
1/6x = -4
~Multiply 6 to both sides
1/6x * 6 = -4 * 6
~Simplify
x = -24
Best of Luck!
Shades R Us charges $20 per day to rent a lounge chair and $15 per day to rent an umbrella. Dan and Lisa paid a total of $245 to rent a lounge chair and umbrella each during their vacation. Lisa rented the chair and umbrella for 1 day less than Dan. The following equation represents this situation, 20x+15x+20(x-1) = 245. What is the total amount Dan paid to rent the lounge chair and umbrella during his vacation
Answer:
$151.88 costs to Dan algebraic form
$245/2 = $122.50+20+15 = 157.5 is the answer though.
Step-by-step explanation:
35x+20(x-1)
35x + (20x -1)
35x +20x -1
35x -20x-20
x= 53/11
53/11 = 4.81
4.81 x 20 = $96.20 on chairs
4.81 x 15 = 72.15 on umbrella
96+72 = 168.35
245-168.35 = 76.65
76.65 + 20 = 96.65
Because we subtracted to get 168.35 we have the difference of $15 which is the difference of what he and she paid we half this amount = $7.50 half the 0.45 additional found on Dans $96.65 = $0.22 and find $7.72 balance to add to his 96.20
Added together his costs out of 245 was $104.37+ 76.65 = $181.20
Costs of umbrella = 76.65/2 = 39.325
181.20 -29.325=151.87 rounded up to 151.87
As x = 53/11 the decimal of this is 4.81 = x
please help, I dont know how to do this
Answer:
[tex]\frac{y-2}{4}[/tex]
Step-by-step explanation:
Let's start by factoring everything:
[tex]\dfrac{\frac{y^2+y}{y^2-2y}}{\frac{4y+4}{y^2-4y+4}}=[/tex]
[tex]\dfrac{\frac{y(y+1)}{y(y-2)}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]
Now, you can cancel out some terms:
[tex]\dfrac{\frac{y+1}{y-2}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]
Now, when you divide a fraction by another fraction, that is the same as multiplying the first fraction by the reciprocal of the second one:
[tex]\frac{y+1}{y-2}\cdot \frac{(y-2)^2)}{4(y+1)}=[/tex]
[tex]\frac{y-2}{4}[/tex]
Hope this helps!
what is 12,447 in Scientific notation
Answer: [tex]1.2447 * 10^4[/tex]
Step-by-step explanation:
1.2447 × [tex]10^4[/tex]
( scientific notation )
Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point.
Answer:
1.2447 x 10^4
Step-by-step explanation:
The answer would be 1.2447 times 10 to the fourth power because to find the first part (1.2447), move the decimal place one place to the right. (.12447-> 1.2447)
Next, count how many places are to the right of the decimal.
1.2447 = 4
So, that would get you 1.2447 times 10 to the power of 4.
2. You deposit $1200 into a bank account. Every year that accounts increase by 15 %.
a) Identify whether this an Exponential Growth or Decay function and write the equation of the
function
Answer:
Exponential Growth, 1200(1.15)
Step-by-step explanation:
It is a Growth function because it is "increasing" yearly. The equation is multiplying with 1.15 because when it is increasing, you need to add 1 to the percentage rate.
Please help ASAP will mark brainliest
|n|=5 what is the value for n.
A -5or5
B 0 and 5
C -5 only
D 5 only
Answer:
A -5or5
Step-by-step explanation:
|n|=5
Absolute value means take the positive value of the number
|5|=5
|-5|=5
so positive 5 and -5
The image of a triangle after it has been dilated with a center of dilation at the origin has vertices at A prime(12, –6), B prime(–24, –12), and C prime. If the pre-image of B prime, point B, has coordinates of (–18, –9) and the pre-image of C prime, point C, has coordinates of (–13.5, 18), which statements are true? Check all that apply. The coordinates of C prime are (27, 18). The coordinates of C prime are (–18, 24). The scale factor is 1 and one-third. The scale factor is 1 and one-fifth. The scale factor is Three-fourths. The coordinates of A are (16, –8). The coordinates of A are (9, –4.5).
Answer:
C is (-18, 24)
Scale factor --> 1 1/3
A is (9, - 4 1/2) *4 1/2 is also 4.5
Brainliest please, I need a few more :D
The true statement are; The coordinates of C prime are (–18, 24). The scale factor is 1 1/3 . The coordinates of A are (9, –4.5).
How to find if a pair of figure is not dilated version of each other?Dilation of a figure will leave its sides get scaled (multiplied) by same number.
Thus, suppose if a rectangle is dilated, and its sides were of length = L and width = W, then its dilated version would be having length = Ln, and width = Wn where n is the factor of scaling.
At image B (-24, -12) and pre image B (-18, -9),
we can work out the scale factor by (-24/-18) and (-12/-9) both equal 4/3
Using the scale factor to go from the pre image to the image,
We can find C coordinate by pre image C by the scale factor.
C is (-13.5 x 4/3) and (18 x 4/3)
C is (-18, 24)
So, The scale factor is 4/3, which is the mixed numeral of 1 1/3.
To find the pre image of point A;
A is (12/(4/3)) and (-6/(4/3))
A is (9, - 4 1/2)
Hence, the true statement are;
The coordinates of C prime are (–18, 24).
The scale factor is 1 1/3 .
The coordinates of A are (9, –4.5).
Learn more about dilation here:
https://brainly.com/question/27212783
#SPJ5
What is the surface area of the square pyramid represented by the net below
Answer:there is no "net below"
Step-by-step explanation:
Kim is packing eggs into boxes. Each box holds 6 eggs. She has 94 eggs. What is the smallest number of boxes she needs to pack all the eggs?
A. 15.65
B. 15.67
C. 15.7
D. 16
Answer:
D
Step-by-step explanation:
For this one (and others that are similar to this one) you can't have a portion of a box, therefore, you can eliminate all the other answers.
The smallest number of boxes she needs to pack all the eggs is 15.67,
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Total Eggs = 94
Each box Hold= 6 eggs
So, number of boxes required to hold 94 eggs
= 94 / 6
= 15.66
Hence, smallest number of boxes she needs is 15.67
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
Which of the following could be the equation of the line passing through (8, 3) parallel to y = -2.
y = 8
x = 8
y = 3
x = 3
Simplify the expression below. (3^5)^3
3^3
3^5
3^8
3^15
Answer:
14348907
Step-by-step explanation:
3^15 is it put in scientific notation.
Answer:
14348907
Step-by-step explanation:
Look at the data points on the graph:
Is this relation a function?
Stewart purchased 15/20 gallons of juice for his party. Guests drank 9/20 gallons, so how much juice is left?
Answer:
Step-by-step explanation:
6/20 Gallons
Answer:
[tex]\frac{3}{10}[/tex].
Step-by-step explanation:
To do this, we will need to subtract fractions.
[tex]\frac{15}{20}-\frac{9}{20}=\frac{6}{20} =\frac{3}{10}[/tex] (Simplified)
Find the length of DF
Answer:
7x-58
just add all the terms
DO, 2 of X = (2, -2) (4, 0) (8, 0)
Answer:
(-2, -2)
Step-by-step explanation:
Simplify.
8(12 - p)
20 - (8+p)
96 - 8p
96 - p
96p
So the right answer is of option C
Look at the attached picture
Hope it will help u ..
Please help!! Thanks!
Answer:
C
Step-by-step explanation:
What’s the answer????
Answer:
80
Step-by-step explanation:
the formula is base times height the height is 10 and the base is 8 so 10 times 8 equals 80
1
1) A basket contains four apples and four
peaches. You randomly select a piece of
fruit and then return it to the basket. Then
you randomly select another piece of fruit.
Both pieces of fruit are apples.
Are the events independent or dependent?
What is the probability?
Answer:
independent and 1/4
Step-by-step explanation:
it is independent because you replaced and that still kept the total outcomes.
1/2 times 1/2 which is 1/4
help help!!!!!!!!!!!!!!!!!!!!!!!
Answer:
bottom right
Step-by-step explanation:
Your answer is the bottom right number line.
To answer this question we should first do the calculation 1/8 - (-3/4) to find out what the final answer should be:
To subtract fractions they must have a common denominator, so we’re going to multiply -3/4 by 2 to get -6/8. This will give us:
1/8 - (-6/8) = 1/8 + 6/8 = 7/8. (this turns into + because when you subtract a negative number the minus sign cancels out)
Therefore the correct answer must land on 7/8 on the number line, which is 1 mark away from 1 because each mark represents 1/8, so your answer is the number line in the bottom right.
I hope this helps!
Number 5 Is the question I’m talking about
write an equation to represent the following:
five less than 1/3 a number, n. is 3
Four more than twice a number, x, is greater than the sum of three and negative seven.
Answer:
Five less than 1/3 a number n is 3.
[tex]\frac{1}{3}n-5=3[/tex]
Four more than twice a number x (2x+4) is greater than (>) the sum of three and a negative seven (3-7)
2x+4>3+(-7)
2x+4>3-7
Part of the population of 6,250 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 5 of them are infected. How many elk are likely to be infected?
Answer:
625
Step-by-step explanation:
6250/50=125
125*5=625