The area of the circle is approximately 30,000 [tex]m^{2}[/tex]
The circumference of the circle is given as 600m.
And we know that circumference = [tex]2\pi r[/tex] where r is the radius of the circle.
Therefore,
[tex]2\pi r = 600[/tex]
[tex]r = \frac{600}{2\pi }[/tex]
[tex]r = \frac{300}{\pi }[/tex]
Now, we know that area of the circle = [tex]\pi r^{2}[/tex]
Putting the value of r in this, we get
area = [tex]\pi (\frac{300}{\pi } )^{2}[/tex]
area = [tex]\pi.\frac{300}{\pi } .\frac{300}{\pi }[/tex]
Therefore, area of the circle = 28,647.889 [tex]m^{2}[/tex]
Therefore, the correct answer is 30,000 [tex]m^{2}[/tex]
To learn more about circle and it's area, refer to:
https://brainly.com/question/16125353
Need Answered ASAP. Rewrite 12x^4y^3 − 48x^3y^4 using a common factor.
Answer:
Step-by-step explanation:
12x^2y^3-36x^5y^3-48x^4y4
factor out 12
12(x^2y^3-3x^5 y^3 - 4x^4 y^4
consider X^2 y^3 - 3x^5 y^3
4x^4 y^4 Factor out x^2y^3
x^2 y^3 (1-3x^3 -4x^2 y)
Rewrite the complete factored expression
12x^2 y^3 (1-3x^3-4x^2y)
z/2>2
hey help me please
Answer:
Z > 4
Step-by-step explanation:
Which expression has like terms?
Group of answer choices
8x - 4y
8x - 4x
13c + 13d
4 + 4y
thx!
Write the point-slope form of the equation of a line that passes through the point (−1, 6)and is parallel to the line that passes through the points (6, 2) and (2, 4).
In order to solve this problem, we need a few formulas to help us get to the answer:
The first formula we need is the Slope Formula:
[tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are two different points.
The second formula we need is Point-Slope Form:
[tex]\displaystyle y - y_0 = m(x - x_0)[/tex]
where (x₀, y₀) is a given point on the line and m is the slope.
DefiningNow, we can organize and define what the problem has given us:
We are first given information that a line passes through the points (6, 2) and (2, 4).
We are also given that the parallel line passes through (-1, 6).
WorkLet's first find the slope of the line that passes through two points:
[tex]\displaystyle\begin{aligned}m & = \frac{4 - 2}{2 - 6} \\& = \frac{2}{-4} \\& = \boxed{ - \frac{1}{2} } \\\end{aligned}[/tex]
∴ we know that the slope is equal to negative one-half.
Let's substitute in our slope into Point-Slope Form since parallel lines have the same slope:
[tex]\displaystyle y - y_0 = m(x - x_0) \Rightarrow y - y_0 = - \frac{1}{2} (x - x_0)[/tex]
Recall that we were given the initial point (-1, 6). Let's also substitute this into Point-Slope Form:
[tex]\displaystyle \begin{aligned}y - y_0 = m(x - x_0) & \Rightarrow y - y_0 = - \frac{1}{2} (x - x_0) \\& \Rightarrow y - 6 = - \frac{1}{2} (x - -1) \\& \Rightarrow \boxed{ y - 6 = -\frac{1}{2}(x + 1) } \\\end{aligned}[/tex]
Answer∴ we have found that the point-slope form of the equation of a line that passes through the point (-1, 6) and is parallel to the line that passes through the points (6, 2) and (2, 4) is equal to:
[tex]\displaystyle \boxed{ y - 6 = -\frac{1}{2}(x + 1) }[/tex]
Hope this helps!
#Brainlystudentskeeponlearning
___
Learn more about writing equations: https://brainly.com/question/9972577
Learn a little more about Algebra here: https://brainly.com/question/17011730
Hey, while you're at it, why not take a sneak peak of higher-level math here?: https://brainly.com/question/28758158
Simplify the expression
[tex]\frac{-4(1 - \sqrt[3]{8}*5)}{3}[/tex]
ok, my let’s try this again. can someone please help fill out the ? for this table.
Answer:
60 months
$9,000
4.6%
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{6.5cm}\underline{Simple Interest Formula}\\\\$ A = P(1 + rt)$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]
Given:
A = $5,000P = $4,000r = 5% = 0.05Substitute the given values into the formula and solve for t:
[tex]\implies 5000=4000(1+0.05t)[/tex]
[tex]\implies \dfrac{5000}{4000}=1+0.05t[/tex]
[tex]\implies1.25=1+0.05t[/tex]
[tex]\implies 0.05t=1.25-1[/tex]
[tex]\implies 0.05t=0.25[/tex]
[tex]\implies t=\dfrac{0.25}{0.05}[/tex]
[tex]\implies t=5\; \rm years=60\; months[/tex]
Given:
A = $11,160r = 8% = 0.08t = 36 months = 3 yearsSubstitute the given values into the formula and solve for P:
[tex]\implies 11160=P(1+0.08 \cdot 3)[/tex]
[tex]\implies 11160=P(1.24)[/tex]
[tex]\implies P=\dfrac{11160}{1.24}[/tex]
[tex]\implies P=\$9000[/tex]
Given:
A = $3,207P = $3,000t = 18 months = 1.5 yearsSubstitute the given values into the formula and solve for r:
[tex]\implies 3207=3000(1+r \cdot 1.5)[/tex]
[tex]\implies \dfrac{3207}{3000}=1+1.5r[/tex]
[tex]\implies 1.069=1+1.5r[/tex]
[tex]\implies 1.5r=1.069-1[/tex]
[tex]\implies 1.5r=0.069[/tex]
[tex]\implies r=\dfrac{0.069}{1.5}[/tex]
[tex]\implies r=0.046[/tex]
[tex]\implies r=4.6\%[/tex]
Therefore, the completed table is:
[tex]\begin{array}{|c|c|c|c|}\cline{1-4} \vphantom{\dfrac12} \rm BALANCE & \rm PRINCIPAL & \rm INTEREST \; RATE & \rm TIME \\\cline{1-4} \vphantom{\dfrac12} \$5,000 & \$4,000 & 5\% & \rm 60 \; months\\\cline{1-4} \vphantom{\dfrac12} \$ 11,\!160 & \$9,000 & 8\% & \rm 36 \; months \\\cline{1-4} \vphantom{\dfrac12} \$3,207 & \$3,000 & 4.6\% & \rm 18 \; months\\\cline{1-4} \end{array}[/tex]
If x and y vary directly and y is 40 when x is 10, find y when x is 15.
Answer:
y is 60 when x is 15
Step-by-step explanation:
the ratio of x to y is 1:4
SOMEONE HELP ME PLEASE I DONT KNOW HOW TO DO THIS!!!
if you're a tad confused, o represents one of the options and you're supposed to fill it in. x represents number for bags
A coffee shop sells bags of coffee for a regular price of $8 per bag. Chang bought some bags and used a coupon for $10 off his entire purchase. After applying the coupon, he paid $30.
How many bags of coffee did he buy?
(a) Write an equation to help answer the question above.
Choose the correct form below and fill in the blanks using only 8, 10, and 30.
(The variable x is used to represent the number of bags.)
ox+o=o OR o×-o=o
(b) Write an expression to help answer the question above.
Choose the correct form below and fill in the blanks using only 8, 10, and 30.
o+o/o OR o-o/o
(c) How many bags of coffee did Chang buy? answer: _x_ bags
If the number of bags is x, the cost of them is 8x.
After applying a $10 coupon the total was $30.
Part (a)Set equation:
8x - 10 = 30Part (b)Solve it for x:
8x = 30 + 108x = 40x = 40/8x = 5Part (c) Answer: 5 bagsEnter the expression −3−8 as an equivalent addition expression.
Answer:
8 + 3
Step-by-step explanation:
Find the next two numbers in the pattern. -800, 400, -200, 100
PLEASE EXPLAIN HOW TO DO IT!
This sequence follows a pattern of dividing by two each time. So, you would divide 100 by two, and the resulting number would be divided by two as well. The next occurring numbers would be 50 and 25. I hope this helps! :)
This Is a Math Test. Help please ASAP! 30 POINTS!
Use the following model to answer the question.
3 groups are shown. Each group shows 2 tens rods and 6 ones cubes.
Which division problem is shown by the model?
A. 0.66÷3=0.22
B. 0.66÷3=0.26
C. 0.78÷3=0.62
D. 0.78÷3=0.26
Answer:
D
Step-by-step explanation:
well, it all starts with a check, what calculations in the answer options are even correct.
A. is correct. 0.66/3 = 0.22
B. is incorrect
C. is incorrect
D. is correct. 0.78/3 = 0.26
so is it A or B ?
one group of 2 tens and 6 ones : how much is that ?
2×10 + 6×1 = 20 + 6 = 26
3 groups of 26 means
3×26 = 78
so, the combination of the 3 groups would either show that
3×26 = 78
or
78/3 = 26
and that is the same as showing
0.78/3 = 0.26
because
0.78 = 78/100
0.26 = 26/100
therefore
78/100 / 3 = 26/100
78/100 = 3×26/100 = 78/100
correct.
HELP I NEED AWNCERS ASAPPPP!!!!!!!!!!!! I GIVE BRAINLIST
Question 1 (1 point)
Why does an eclipse happen?
a
A celestial object moves into the shadow made by another celestial object.
b
The Sun burns out quickly and reignites due to changes in magnetic energy.
c
Stars twinkle which creates a delay in light transfer.
d
The planets Mars and Venus interfere with Earth's orbit.
Question 2 (1 point)
The picture below shows a globe with the location of Barrow, Alaska circled. For almost three months, mid-May to mid-August, the Sun never sets in Barrow, Alaska.
Which is themost likelyreason for the Sun always shining in the summer in Barrow?
a
Earth only rotates on its axis during the winter, so the same part of Earth faces the Sun all summer.
b
Only the middle of Earth rotates around its axis, so the top of Earth always faces the Sun.
c
Earth's axis is tilted, so sometimes parts of Earth face the Sun for the entire daily rotation.
d
The Sun's axis is tilted, so sometimes parts of Earth face the Sun for the entire daily rotation.
Question 3 (0 points)
The diagram shows Earth in its yearly orbit around the Sun.
Earth is moving from Position B to Position C. Which statement correctly identifies the season in the Northern Hemisphere when Earth is in Position C?
a
It is fall because the Northern Hemisphere is tilting away from the Sun and receiving less direct sunlight than Position B.
b
It is fall because the Northern Hemisphere is tilting toward the Sun and receiving more direct sunlight than Position B.
c
It is spring because the Northern Hemisphere is tilting toward the Sun and receiving more direct sunlight than Position B.
d
It is spring because the Northern Hemisphere is tilting away from the Sun and receiving less direct sunlight than Position B.
Question 4 (1 point)
The map shows the United States.
Which city will most likely experience the mildest winters?
a
Tallahassee, FL, because it is closest to the equator and receives the most direct sunlight.
b
Harrisburg, PA, because it is located in the southern hemisphere.
c
Helena, MT, because it is closest to the equator and receives the most direct sunlight.
d
Des Moines, IA, because it is closest to the poles and receives the least direct sunlight.
Question 5 (1 point)
What can happen when Earth, the Sun, and the Moon line up in a straight line?
a
a lunar or solar eclipse
b
decreased planetary rotation
c
a change in the order of Moon phases
d
a reversal in the orbital direction
Question 6 (1 point)
Use the diagram below to answer the question.
Which point indicates the location of the Moon that is the best for viewing a lunar eclipse from Earth?
a
N
b
P
c
O
d
M
Question 7 (1 point)
Why can a solar eclipse only happen during a new moon?
a
During a new moon, Earth does not receive the light created by the Moon.
b
During a new moon, Earth is between the Moon and the Sun.
c
During a new moon, the Moon is fullest and blocks the sunlight best.
d
During a new moon, the Moon is between the Sun and Earth.
Answer:
An eclipse happens when a celestial object moves into the shadow made by another celestial object. In the case of a solar eclipse, the Moon moves into the shadow of the Earth, and in the case of a lunar eclipse, Earth moves into the shadow of the Moon.
The most likely reason for the Sun always shining in the summer in Barrow, Alaska is that Earth's axis is tilted, so sometimes parts of Earth face the Sun for the entire daily rotation.
When Earth is in Position C in the diagram, it is spring in the Northern Hemisphere because the Northern Hemisphere is tilting toward the Sun and receiving more direct sunlight than Position B.
The city that will most likely experience the mildest winters is Tallahassee, Florida because it is closest to the equator and receives the most direct sunlight.
When Earth, the Sun, and the Moon line up in a straight line, a lunar or solar eclipse can happen.
The point that indicates the location of the Moon that is the best for viewing a lunar eclipse from Earth is P.
A solar eclipse can only happen during a new moon because, during a new moon, the Moon is between the Sun and Earth. This allows the Moon to block the sunlight and create an eclipse.
Answer:
During a total lunar eclipse, Earth blocks sunlight from reaching the Moon. Earth casts a shadow onto the Moon. The Moon can look reddish orange.An eclipse occurs when one heavenly body such as a moon or planet moves into the shadow of another heavenly body. Let’s learn about the two types of eclipses on Earth.What Is a Lunar Eclipse?The Moon moves in an orbit around Earth. At the same time, Earth orbits the Sun. Sometimes Earth moves between the Sun and the Moon. When this happens, Earth blocks the sunlight that normally is reflected by the Moon. (This sunlight is what causes the Moon to shine.) Instead of light hitting the Moon's surface, Earth's shadow falls on the Moon. This is an eclipse of the Moon, or a lunar eclipse. A lunar eclipse can occur only when the Moon is full.A lunar eclipse can be seen from Earth at night. There are two types of lunar eclipses: Although the Moon is in Earth's shadow, some sunlight reaches the Moon. The sunlight passes through Earth's atmosphere, which filters out most of the blue light. This makes the Moon appear red to people on Earth.Earth's shadow passes in front of the Moon until it turns red or orange.A partial lunar eclipse happens when part of the Moon enters Earth's shadow. In a partial eclipse, Earth's shadow appears very dark on the side of the Moon facing Earth. What people see from Earth during a partial lunar eclipse depends on how the Sun, Earth and Moon align.A lunar eclipse usually lasts for a few hours. At least two partial lunar eclipses happen every year, but total lunar eclipses are rare. It is safe to look at a lunar eclipse.
An equation is written in standard form, match each word with the expression that is used to find it.
Answer:
slope : opposite of a
y-intercet:b/c
x-intercet:a/b
Step-by-step explanation:
You have 2 different savings accounts. For Account A, the simple interest earned after 21 months is $5.95. For Account B, the simple interest earned after 30 months is $36.00. If the interest rate is %3.4 for Account A and %2.4 for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer.
Answer: Principal amount is A = $250.09
Principal amount is B = $400.
Account B earned you the most interest the first month
The formula for simple interest is expressed as
I = PRT/100
Where
P = the principal or initial amount of money invested.
R = interest rate
T = time
On account A,
I = $6.94
R = 3.7%
T = 9 months = 9/12 = 0.75 years.
Using the formula:
On account B,
I = $13.80
R = 2.3%
T = 18 months = 18/12 = 1.5 years
Using the formula:
To determine the account that earned more interest in the first month we divide the interest by the number of months.
$6.94/9 = $0.7711
$13.80/18 = $0.7667
Account B earned you the most interest the first month because $0.7667 is higher than $0.7711.
Answer:
Principal amount is A = $250.09
Principal amount is B = $400.
Account B earned you the most interest the first month
The formula for simple interest is expressed as
I = PRT/100
Where
P = the principal or initial amount of money invested.
R = interest rate
T = time
On account A,
I = $6.94
R = 3.7%
T = 9 months = 9/12 = 0.75 years.
Using the formula:
On account B,
I = $13.80
R = 2.3%
T = 18 months = 18/12 = 1.5 years
Using the formula:
To determine the account that earned more interest in the first month we divide the interest by the number of months.
$6.94/9 = $0.7711
$13.80/18 = $0.7667
Account B earned you the most interest the first month because $0.7667 is higher than $0.7711.
Scroll down
Hope it helps.
4x-2=7x+8-3x-6
infinite many solutions
one solutions
no solutions
two solutions
Answer:
no solutions
Step-by-step explanation:
4x-2=7x+8-3x-6
4x-7x+3x = 8-6+2
0 = 4
Since 0 = 4 is a false statement, there is no solution.
Need Answered ASAP. As part of the training for the cross-country team, you must run a total of 20 miles per week. You ran 6.3 miles in the first two days of the week. If you run the same amount each day for the remaining five days, how many miles must you run per day to complete the 20 miles?
Write and solve an equation to determine the number of miles, m, you must run per day.
Answer: 1.48 miles
Step-by-step explanation:
6.3 x 2 = 12.6
20 - 12.6 = 7.4
7.4/5 = 1.48
Which expression is equivalent to 2E-3/2E-5
a. 2E2
b. 1/2E2
c. 2E8
d. 1/2E8
E=exponent
Answer:
a 2E2
Step-by-step explanation:
[tex]\frac{2^{-3} }{2^{-5} }[/tex] When powers have the same bases and you are dividing, you subtract the exponents.
[tex]2^{-3 - -5}[/tex] = [tex]2^{-3+5}[/tex] = [tex]2^{2}[/tex]
Which table shows a function that is decreasing only over the interval (–1, ∞)?
What answer is it and why? To me it seems it can either be C or D (One all the way to the right on the top row and one all the way to the bottom right), but I'm not sure why it would be either one over the other and would need an explanation. If it is neither C nor D I need an explanation on how to solve this question correctly.
Answer: The table to the farthest right the last one.
Explanation:
The interval (-1, ∞) represents x-values anywhere from -1 and higher.
As such, you are looking for a table with y-values that decrease as the x-values increase.
Starting from -1 -
The first option: -5, -2, -1, 2. This is increasing.
The second option: -7, -6, 1, -1. This increases from -7 to -6 to 1.
The third option: -1, 2, 1, -6. This increases from -1 to 2.
The fourth option: 1, 0, -4, -8. This decreases across all coordinates in the range specified.
Answer:
The last graph (d) represents it
When do you use the RECIPROCAL of a fraction?
Group of answer choices
-When dividing fractions.
-When adding fractions.
-When multiplying and dividing fractions.
-When multiplying fractions.
Thank u!
The reciprocal of a fraction is used when:
Dividing fractions
Help, i have to do this in the next like 30 seconds -_-
I think your answer is 2/3
I am not sure
20 points to whoever answers this asap <3
Joe and Andrew shot baskets in a school fair. Joe made 9 baskets, which is 2 baskets more than Andrew. Supply the correct numbers to complete the equation that can be used to determine the number of baskets, b, that Andrew made.
Answer:
The answer to the question is 7. This is the number of baskets that Andrew made, as calculated using the equation b = 9 - 2.
Step-by-step explanation:
If xx and yy vary directly and yy is 40 when xx is 5, find yy when xx is 6.
Answer:
41
Step-by-step explanation:
PLEASEEEE HELPPPPPPPPP
Answer: The difference between the angle measure is 152 degrees
Step-by-step explanation: Supplementary angles are angles that add up to 180
So if one angle is x in this case, the other will be 14x
Adding both ;
x + 14x = 180
15x = 180
x = 180/15
x = 12
The other angle is 14 * 12 = 168
The difference between the two will be;
168-12 = 156
Answer:
168
Step-by-step explanation:
m<B + m<C = 180 since the angles are supplementary.
m<B = 14m<C since the measure of angle B is 14 times the measure of angle C.
m<B + m<C = 180
14m<C + m<C = 180
15m<C = 180
m<C = 180/15
m<C = 12
m<B = 14m<C = 14 × 12
m<B = 168
Answer: 168
The zoom feature on a copier sets the percent size of a copy. Lebron wants to make a 200% copy of a photograph. The original photo has a width of 5 in. What width will the copy be?
a) 2.5in
b) 10in
c) 25in
d) 100in
Help please help help
Answer:
Question 13
89.75
Question 14
39
Question 15
403
Answer:
13: 89.75
14: 39
15: 403
DISCLAIMER: This is all in EXACT answers
Step-by-step explanation: I hope this helps! (Not rounded; exact answers) I used long division.
TIP: Round up (or down) to find the rounded number. Remember, the number in the one's place between 0-4, you round down. You round up when the number in one place is 5-9. So,
718 rounded = 720
156 rounded = 160
3627 rounded = 3630
Now, divide the rounded answers by the number on the right, so the REAL answers are:
13: 90
14: 40
15: 403.3 (3 repeats forever)
I hope this helps ;)
If x and y vary directly and y is 6 when x is 8, find y when x is 12.
Answer:
If x and y vary directly and y is 6 when x is 8, y is 9 when x is 12.
Step-by-step explanation:
In the given problem, it is known that when x is 8, y is 6, so the constant of proportionality in this case is k = y/x = 6/8 = 3/4. This means that the relationship between x and y can be written as y = (3/4)x.
To find the value of y when x is 12, we can plug this value into the equation to get y = (3/4) * 12 = 9. Therefore, if x and y vary directly and y is 6 when x is 8, y is 9 when x is 12.
Answer:
y is 9 when x is 12
Step-by-step explanation:
the ratio of x to y is 4:3
Write the mixed number 4 ⅜ as an improper fraction.
Thank u!
Answer:
[tex]\frac{35}{8}[/tex]
Step-by-step explanation:
Another name for 1 is [tex]\frac{8}{8}[/tex] so 4 can be [tex]\frac{8}{8}[/tex] + [tex]\frac{8}{8}[/tex] + [tex]\frac{8}{8}[/tex] + [tex]\frac{8}{8}[/tex] = [tex]\frac{32}{8}[/tex]. we can now add this to [tex]\frac{3}{8}[/tex]
[tex]\frac{32}{8}[/tex] + [tex]\frac{3}{8}[/tex] = [tex]\frac{35}{8}[/tex]
Which story problem can be solved using the expression 5 divided by ¼?
Group of answer choices
-Alex cuts ¼ of a pizza into 5 slices. What part of the pizza is one of the slices he cuts?
-Nicole cuts 5 feet of string into ¼ - foot pieces. How many pieces does she cut?
-Suzy needs 5 pieces of ribbon that are each ¼ yard long. What is the total length of the ribbon?
-Sammy pours ¼ cup of honey equally into 5 teacups. How much honey does he pour into each teacup?
Thank u! <3
Answer: Nicole cuts 5 feet of string into ¼ - foot pieces. How many pieces does she cut?
Step-by-step explanation:
Nicole cuts 5 feet of string into ¼ - foot pieces. How many pieces does she cut?
When you cut one piece of string into smaller pieces, that is the same as dividing.
5/1/4 is the same as 5*4/1
=20
"Based on the table, which best predicts the end behavior of the graph of f(x)?"
How do I figure out the answer to this question? I need a step-by-step explanation to the answer of the question.
Answer: How you figure out the answer to this question is figure out if it's a line by a constant rate of change
Step-by-step explanation: Because you gotta make sure before you plug in an answer you need to make sure it's a line
Evaluate the expression: 2 × 14 ÷ (3² − 2)
Group of answer choices
3
8
4
6
Answer: 4
Step-by-step explanation:
2 × 14 ÷ (3² − 2)
28 / (9-2)
28/7
4
[tex]2\times14\div(3^2-2)[/tex]
[tex]14\times2=28[/tex]
[tex](3^2-2)=7[/tex]
[tex]28\div7[/tex]
[tex]=\fbox{4}[/tex]