Answer:
OB
-2 multiply by a -2 is a - 4 which is a numerator then
3 doesn't change cause it is a denomenator
thus your final answer is a -4/3
please read and answer the following:
Step-by-step explanation:
here
radius of circle(h,k)=(-7,11)
so ,h=-7
and k=11
r=8
we know that,
(x-h)^2+(y-k)^2=r^2
(X+7)^2 + (y-11)^2= 8^2
X^2+14x+49 +y^2-22y+121= 64
x^2+y^2+14x-22y+106=o is the equation of circle .
3. Mrs. Galicia started a savings account for her family and started it with an initial deposit of $1600. The account earns 3.75% interest compounded quarterly.
(a) Write an equation to represent the anount of money in the account as a function of time in years.
(b) How much money will be present in the account in 5 years. *please show plug in step*
Hey there!
--› Initial deposit: 1600
--› rate = 3.75%
a) First, convert R as a percent to r as a decimal
r = R/100
r = 3.75/100
r = 0.0375 rate per year,
Substitute into formula
= A = P(1 + r/n)nt
A = P(1 + 0.0375/4)^4t
A = 1,600.00(1 + 0.009375)^4t
b)
A = 1,600.00(1 + 0.009375)^4t
A = 1,600.00(1 + 0.009375)^4(5)
A = 1,600.00(1 + 0.009375)^(20)
A = $1,928.28
The amount of money that will be present in the account in 5 years is P(5) = $1923.36
Exponential equationsThe standard exponential equations is expressed as:
p(t) = p0(1+r)^t
where:
Po is the initial deposit = $1600Rate "r" =3.75% = 0.0375time "t" = 5 yearsSubstitute
P(t) =1600(1+ 0.0375)^t
P(t) = 1600 (1.0375)^t
Hence the equation to represent the aount of money in the account as a function of time in years is P(t) = 1600 (1.0375)^t
If t =5 years
P(t) = 1600 (1.0375)^t
P(t) = 1600 (1.0375)^5
P(5) = $1923.36
Hence the amount of money that will be present in the account in 5 years is P(5) = $1923.36
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circumference of a clock with the radius of 16 centimeters?
Answer:
100.5309649cm
Step-by-step explanation:
The formula for the circumference of a circle is:
2πr
if the radius is 16cm, we just need to substitute 16 for r:
2π(16)
= 32π
= 100.5309649cm
You can round this however you like, however I would recommend doing either 3 significant figures either 2 or 3 decimals places :)
consider the following formula used to estimate the height ,h, of a seedling after w weeks since planting:
Answer:
B
Step-by-step explanation:
solve for W
subtract 8/5 from both sides
then multiply by 5
hope this was helpful
A chocolatier makes chocolate bon-bons in the shape of a sphere with a radius of 2cm. The chocolate used in the bon-bons has a density of 1.31 g/cm^3. If the chocolate
used costs $0.06 per gram, how much would the chocolate for 140 bon-bons cost, to
the nearest cent?
We will get the mass of each chocolate sphere, and the cost of 140 of these is $368.56
How much would it cost?
A sphere of radius R has a volume:
V = (4/3)*3.14*R^3
The mass of a sphere of chocolate will be given by the volume times the density, then one ball of chocolate has a mass:
M = (4/3)*3.14*(2cm)^3*(1.31 g/cm^3) = 43.88 g
And we know that the cost is of $0.06 per gram, the cost for 140 of these spheres is:
cost = 140*(44.88 g)*$0.06 = $368.56
If you want to learn more about density, you can read:
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Why do you think y= ax+b is called a linear equation
Please help
Answer:
Y=mx+b Is a linear equasion because if you plot the x and y on a graph it always shows a straight line.
Step-by-step explanation:
For example, y=7x+9,
When x is 1 y is 16, and
when x is 2 y is 23.
When you put those two points on a graph and connect the dots with a ruler, you get a straight line, and you will automatically find that when x is 3 y is 30.
Step-by-step explanation:
Hey there!
Reason:
The power of the term is one.It can be graphed in a at. line on graph.You can simply define linear equation as the equation which has two variables with 1 exponent.
So, you can graph out that why it is called linear equation. It have two variables with 1 exponent.
Hope it helps..
Solve the following equation, and check your solution. Be sure to show all work in order to receive full credit.
Solve -17 + n/5 = 33. steps plsss
Answer:
17=n<
Step-by-step explanation:
17
Answer:
Step-by-step explanation:
17+ n/5=33
17+33-n/5
N= 50..
50/5
4 in
2 in
Hot wewn to see
What are the dimensions of the enlarged rectangle
What are the dimensions of the enlarged rectangle
Answer:
the dimensions are for in plus two in is equal to 6n
8 rabbits=5.5 squirrels
18 deer=2.25 bear
4 hippos=75 groundhogs
How many hippos are in 65.25 rabbits?
Answer:
he bouyancy Force of the hippo using the bouyancy force relation is 24107.1 N.
Given the Parameters :
Density of water = 1 kg/m³
Mass of hippo = 2500 kg
Volume = 2.46 m³
The bouyancy Force is defined as, :
Density of hippo =
Substituting values into the relation :
Therefore, the bouyancy Force is 24107.1 N
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Step-by-step explanation:
A clothing manufacturer would like to determine whether celebrity endorsements and length of commercial influence a customer's decision to buy its products. In order to estimate this potential influence, the manufacturer premieres its latest series of commercials privately to potential buyers. There are two types of commercials: commercials without celebrities, and commercials with celebrities. There are two lengths of commercials: 30 seconds and 60 seconds. Each potential buyer is randomly assigned a type and length of commercial to view. What are the factors of interest to the manufacturer
Answer:
The correct response will be "whether or not the viewer will buy the product".
Step-by-step explanation:
To consider its clients, the manufacturer requires conducting this research, but the only element of interest would be to figure out whether or not the consumer purchases the product after seeing the ad. The response variable or perhaps the predictor variables determine "not if the audience can buy the advertisement" as well as "whether another advertisement becomes 30 or 60 seconds" including "not when the commercial involves a brand personality" have become the explanatory variables or even just the relationship between the independent variable.1/4 x 2/5 express your awnser in simplest form.
Answer:
1/4*2/5=(1*2)/(4*5)
= 2/ 20
= 1/10
So 1/4* 2/5=1/10
Answer:
1/10
Step-by-step explanation:
1)Draw the fractions.
2) Since you are basically dividing, divide 2
into 4 and your answer should be 2, cross
out 2 and put I because 2 into 2 goes one time,
and cross out 4 and put 2 because 2 into 4 goes 2 times
3) Multiply from across and you will get your answer
A school buys 672 rulers to share among 21 classrooms. Each classroom gets the same number of rulers. How many rulers does each classroom get?
Divide rulers by rooms:
672/21 = 32
Each room gets 32 rulers
Answer:
32 rulers per classroom
Step-by-step explanation:
672rulers ÷ 21 classroom
=32 rulers per classroom
1. What is the difference between a line and a line segment?
A. A line is a figure formed by two opposite rays with a shared endpoint, a line segment is a part of
a line that extends forever in one direction.
B. A line is a specific location that is represented by a dot, a line segment is a specific location
represented by two dots.
C. Aline is a portion of a line consisting of two points and all the points between them, and a line
segment is a figure formed by two opposite rays.
D. Aline is a figure formed by two opposite rays and a shared endpoint, and a line segment is a
portion of a line consisting of two points and all the points between them.
Explanation:
Basically a line goes on forever in both directions. A ray only goes off forever in one direction. If we glue together two rays that point in complete opposite directions (eg 1 points north, the other points south) then we form a line.
A line segment is a piece of a line. It doesn't go on forever in either direction. It has 2 endpoints and has a set fixed length. If you know the coordinates of each endpoint, you can use the distance formula to find that length.
Which of the following is parallel to the equation of the following equation 3 x + 2 y = 10 and goes through the point (4, 10)?
Answer:
y=(-3/2)x+16
Step-by-step explanation:
In AUVW, u = 55 inches, w = 43 inches and angle W=134^ . Find all possible values of angle U , to the nearest degree .
I like marshmallows and weird fives eat food
100$ Per Assignment
Anyone interested to do my assignments? I can pay 100$ per assignments. URGENT NEED
Answer:
which class
Step-by-step explanation:
which class are you in and which subject do u want
Need help asap!!
First right answer will get brainliest
answer:
B and C are correct.
explanation:
[tex]\hookrightarrow \sf x^2-5x+5[/tex] where ax² + bx + c
\\ Thus we can determine a = 1, b = -5, c = 5 \\
using quadratic equation:
[tex]\rightarrow \sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0[/tex]
[tex]\hookrightarrow \sf x_{1,\:2}=\dfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\cdot \:5}}{2\cdot \:1}[/tex]
[tex]\hookrightarrow \sf x=\dfrac{5+\sqrt{5}}{2},\:x=\dfrac{5-\sqrt{5}}{2}[/tex]
Answer:
B and C
Step-by-step explanation:
[tex]x^2-5x+5=0[/tex]
⇒ a = 1, b = -5, c = 5
Using quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]\implies x=\dfrac{5\pm\sqrt{(-5)^2-4\cdot 1 \cdot 5} }{2\cdot 1}[/tex]
[tex]\implies x=\dfrac{5\pm\sqrt{5}}{2}[/tex]
The radius of a circle is 2 centimeters. What is the circle's area?
Answer:
12.56
Step-by-step explanation:
2x2=4
4×3.14=12.56
area = 12.56
complete the square to make a perfect square trinomial. Write the result as a binomial square. a^2-20a
Answer:
(a-10)^2 = 10^2
Step-by-step explanation:
a^2-20a=0
a^2-20a+100=100
(a-10)^2=100
Elizabeth ran 6 miles in 51 minutes. Assuming she always runs at that pace, how many miles can she run in 30 minutes? Round to the nearest tenth
Answer: 3.5 Miles
Step-by-step explanation: It would take her 8.5 min to run one mile because 51/6 is 8.5. Then I divided 30 by 8.5 to get 3.52, which is rounded to 3.5 miles in 30 min
Hope this helps :)
Which number line best shows the position of 17?
0
十
J7
+++
+++
||||
-2 -1 0 1 2 3 4
-4
-3
7
01- ++ --
-4 -3 -2 -1 0 1
2 3
4
十
7
-- + Att
-2 -1 0 1 2 3 4
-4 -3
-
-
+- ?
-
+++
-3 -2 -1 0 1
7
| |--
2 3 4 5
-5 4
Answer:
C
Step-by-step explanation:
The square root should be about half of that number so half of 7 is 3.5.
What is the volume of the pyramid shown below?
A. 294 cu. units
B. 1008 cu. units
C. 196 cu. units
D. 112 cu. units
Answer:
C) 196 cu. units
Step-by-step explanation:
Volume = lwh/3
= 7 x 7 x 12 / 3
= 588/3
= 196
The volume of a square pyramid is 196 cubic units.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
From the given figure, side of square base is 7 units and height is 12 units.
We know that, the volume of square based pyramid =a²h/3.
Now, volume of a pyramid = 1/3 ×7²×12
= 49×4
= 196 cubic units
Therefore, the volume of a square pyramid is 196 cubic units.
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If you can do all three questions I’ll mark you brainlest!! Thanks <3
Answer:
1. Rate needed 9/6; Unit rate is 1.5/1; 1.5 cans of white paint are needed for each can of blue.
2. rate needed = 12/6; unit rate = 2/1; Need 2 cups of water for every scoop of fruit mix.
3. 70 minutes
Step-by-step explanation:
1. Set up a ratio
3white/2blue = xwhite/6blue
3/2 = x/6
cross multiply 2x = 18; x = 9
rate needed = 9/6
Unit rate is 1.5/1 (divide 3 by 2 or 9 by 6 to get unit rate_
2. 3/1.5 = x/6
1.5x = 18; x = 12
rate needed = 12/6
unit rate = 2/1
3. Set up a ratio.
3.5/.25 ( 1/4=.25)
3.5/.25 = x/5
.25x = 3.5(5)
.25x = 17.5
x = 70 minutes
Answer:
1) Rate: 3/2
Unit Rate: 1.5/1
Interpretation: Every 1 can of blue paint used requires 1.5 cans of white
paint
Solution: 9
Dennis is saving up for a new video game console that costs $250. He already has $100. if he makes $10 per hour
nowing lawns, how many hours does he need to work in order to buy the console?
What is the equation and answer
Answer:
15 hours
Step-by-step explanation:
Step 1. $250-$100=$150
Step 2. $150÷$10=15 hours
To check answer:
$10x15(hours)=$150
$150+$100=$250
Answer:
15 hours
Explanation:
So start by taking 100 away from 250, to get 150. now divide 150 by 10. 15
9. Which of the following could be the areas of
the three squares below?
A. 12 ft?, 16 ft2 and 28 ft2
B. 8 f1?, 16 ft2 and 24 ft2
C. Both A and B
D. Neither A nor B
Answer:
The Answer can be A. 12ft2 ,16ft2 and 28 ft2
as well as B. 8ft2,16ft2 and 24ft2
a(2)+b(2)=c(2) a(2)+b(2)=c(2)
12+16=28 8 +16=24
Your answer is C.Both A and B
Hope you have a great day!
The volume of a cone is 30 pi cubic inches. If the radius of the cone is 3 inches, determine its height.
Two flower seeds are randomly selected from a package that contains 8 seeds for red flowers and 9 seeds for white flowers. (Give your answer correct to three decimal places.)
(a) What is the probability that both seeds will result in red flowers?
Incorrect: Your answer is incorrect.
(b) What is the probability that one of each color is selected?
(c) What is the probability that both seeds are for white flowers?
Using the hypergeometric distribution, it is found that the probabilities are given as follows:
a) 0.2059 = 20.59%.
b) 0.5294 = 52.94%.
c) 0.2647 = 26.47%.
What is the hypergeometric distribution formula?
The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem, the parameters are as follows: N = 17, k = 8, n = 2.
Item a:
This probbility is P(X = 2), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,17,2,2) = \frac{C_{8,2}C_{9,0}}{C_{17,2}} = 0.2059[/tex]
Item b:
This probbility is P(X = 1), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 1) = h(1,17,2,2) = \frac{C_{8,1}C_{9,1}}{C_{17,2}} = 0.5294[/tex]
Item c:
This probbility is P(X = 0), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,17,2,2) = \frac{C_{8,0}C_{9,2}}{C_{17,2}} = 0.2647[/tex]
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mark bought 10 movie tickets for $120. how much will it to buy one ticket
12 tickets --
120/10= 12
Answer:
$12
Step-by-step explanation:
well 12 * 10 = 120 so 12 is 1 ticket
can you help me for this m.c.m is of 10, 3 and 90.
Gracias (Thaks youuuuuuuuuuuuuuuuu)
Answer:
AR 27-10 supplements the MCM and is the ... available. The installation Trial Defense Service office will provide a military lawyer. If the. 3-1 ... away or assaulting you, enlist others to help.
Order 2/3,2/9,5/6,11/18 from least to greatest
Answer: 2/9, 11/18, 2/3, 5/6
Step-by-step explanation:
2/3 = 0.6666...
2/9 = 0.2222...
5/6 = 0.8333...
11/18 = 0.61111...