The area of a circle given its circumference is 49.48 m^2.
The circumference of a circle is 25 m.
Step-by-step:
Use the formula for circumference: Circumference = 2πr, where r is the radius.
Given Circumference = 25 m, then find the radius using the formula: 25 = 2πr.
Calculate the radius: r = 25 / (2π).
Once you find the radius, use the formula for the area of a circle:
Area = πr^2
= π * 25/2π * 25/2π
= 625/(4 * 3.14)
= 49.48 m^2
Therefore, the area of the circle is approximately 49.48 m^2.
Identify the value of r and a1 for each geometric
series.
2 + 3 + 4.5+ 6.75 + ...
Given:
The given geometric series is [tex]2 + 3 + 4.5+ 6.75 + ...[/tex]
We need to determine the value of r and a₁
Value of a₁:
The term a₁ denotes the first term of the geometric series.
Hence, from the given series, the first term of the series is 2.
Thus, a₁ = 2.
Therefore, the value of a₁ is 2.
Value of r:
The term r denotes the common ratio between the terms in the geometric series.
The value of r is given by
[tex]r=\frac{3}{2}=1.5[/tex]
[tex]r=\frac{4.5}{3}=1.5[/tex]
[tex]r=\frac{6.75}{4.5}=1.5[/tex]
Thus, the value of r is 1.5
Answers:
1) 1.5 , 2
2) 0.5 , 8
explanation:
just did this :)
NEED SOMEONE WITH BIG BRAINS
Imagine we have a piece of string 25,000 miles long, just long enough to exactly circle the globe at the equator. We take the string and fit it snugly around the equator, over oceans, deserts and jungles. When we have completed our task, we find that the string is just one yard too long. To overcome the error, we decide to tie the ends together and to distribute the extra 36 inches evenly over the entire 25,000 miles, figuring that it will never be noticed. How far do you think the string will stand off from the ground at each point, merely by virtue of the fact that it is 36 inches (3 feet) too long? Explain your answer.
Answer: just an extra one foot
Step-by-step explanation:
Given that the length of the piece of string = 25,000 miles
Since the string is long enough to exactly circle the globe at the equator over oceans, deserts and jungles. We can say that the string could completely circle a sphere
Assuming that the earth is a perfect sphere.
The circumference of the circle = 25,000 mile.
But note that the circumference of a circle is directly proportional to the radius. If you double the radius, the circumference will also be doubled. Half the circumference, half the radius. Increase the circumference by 30%, radius will also be increased by 30% and so on.
In this question, the radius is being increased by 3 feet, so we need to know that as a fraction of the original radius.
Circumference = 2πr
Let's also convert miles to feet
25000 × 5280 = 2(3.143)r
r = 132 × 10^6/2π
r = 21008452.5 feet
3 feet - that's how far off the ground we're lifting the string out of 21008452.5 feet is close to one part in 25000 miles. The string was 132000000 feet long to start with, so we need just an extra 1 foot.
What is the answer to 7x+7=4x
Answer:
-2 1/3
Step-by-step explanation:
First, subtract 7x from both sides to isolate the variable:
7x+7=4x
-7x -7x
=7=-3x
divide both sides by -3 to find the value of x
Please answer this correctly
Answer:
13
Step-by-step explanation:
8 - (-5) = 13
Since x is the same in both points we only have to count the y
if you are given a 2% raise and the inflatoin is 3%, you are
Can someone help please???
Answer:
Length: x + 5
Step-by-step explanation:
x² + 8x + 15 = length × width
x² + 8x + 15
x² + 5x + 3x + 15
x(x + 5) + 3(x + 5)
(x + 5)(x + 3)
Width: (x + 3)
Length: (x + 5)
7 pounds of kitty litter cost $6.72. What is the price per ounce?
Gas prices have really decreased in the past month. At the beginning of March I paid $2.15 per gallon. I just recently filled my tank and it was $1.56. What was the percent of decrease to the nearest tenths place?
Answer: 27.44 % decrease in gas prices
Step-by-step explanation: First subtract 2.15 by 1.56 to get 0.59
then divide it by the starting value which is 2.15
0.59 divided by 2.15 is approximately 0.2744
then multiply times 100 to get 27.44 %
hope this helps mark me brainliest if it helped
Adding 6 to triple a number gives 21
Step-by-step explanation:
Let the required number be x.
[tex] \therefore \: 3x + 6 = 21 \\ [/tex]
The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude is given R = 0.67log(0.37E) + 1.46 where E is the energy (in kilowatt hours) released by the earthquake. If an earthquake release 1,770,000 kilowatt hours of energy, what is the earthquake's magnitude?
Answer:
R=3.897
Step-by-step explanation:
Given the magnitude measured by the Ritcher scale is given as;
R = 0.67log(0.37E) + 1.46 where E= is the energy (in kilowatt hours)
If E=1,770,000 then
R= 0.67log(0.37*1770000)
R=0.67log(654900)
R=0.67*5.81617
R=3.897
Final answer:
To determine the magnitude of an earthquake that released 1,770,000 kilowatt hours of energy using the Richter scale formula, the calculated magnitude is approximately 5.51.
Explanation:
The Richter scale is used for measuring the magnitude of an earthquake. Given the Richter magnitude formula
R = 0.67log(0.37E) + 1.46
where E is the energy (in kilowatt hours) released by the earthquake, we can calculate the magnitude of an earthquake that released 1,770,000 kilowatt hours of energy.
First, substitute the given energy value into the formula:
R = 0.67log(0.37*1770000) + 1.46.
Performing the calculation:
0.37 * 1,770,000 = 654,900
log(654,900) = 5.816
R = 0.67 * 5.816 + 1.46
R ≈ 5.51
Therefore, the earthquake's magnitude on the Richter scale is approximately 5.51.
There are four styles of a notebook available at a store: a plain black one, a glittery silver one, a shiny gold one, and a reflective turquoise one. The store looks at samples of four purchases in a row of these notebooks, with the following results:
{black, gold, gold, silver}
{turquoise, black, silver, gold}
{gold, silver, turquoise, turquoise}
{silver, silver, silver, turquoise}
{silver, black, gold, gold}
{gold, turquoise, black, black}
Using the mean of the sampling distribution of the proportion for each color, which notebook(s) is likely the most popular?
The black notebook.
The gold notebook.
The silver notebook.
The turquoise notebook.
Both the silver and gold notebooks.
Both the black and turquoise notebooks.
Answer:
gold and silver
Step-by-step explanation:
(8c2-2c) + (2c2+3c) in standard form
Answer:
Step-by-step explanation:
hello :
(8c²-2c) + (2c²+3c)= (8c²+3c²)+(3c-2c) =11c²+c .....standard form
The three inside angles (a,b and c) of a right-angled triangle are in the ratio 7:18:11
the smallest angle is 35 degrees
workout angles a,b and c
Answer:
The three angles of the right-angled triangle are
a = 35°
b = 90°
c = 55°
Step-by-step explanation:
We are given the ratio of angles of a right-angled triangle
a:b:c = 7:18:11
Recall that the sum of interior angles in a right-angled triangle is always 180°
7x + 18x + 11x = 180
36x = 180
x = 180/36
x = 5
a:b:c = 7x:18x:11x
a:b:c = 7(5):18(5):11(5)
a:b:c = 35:90:55
a = 35°
b = 90°
c = 55°
Alternatively:
We are given that the smallest angle is 35°
a = 7x = 35
x = 35/7
x = 5
b = 18x
b = 18(5)
b = 90°
c = 11x
c = 11(5)
c = 55°
Answer:
Step-by-step explanation:
solution
sum of angles on a triangle=180
total ratio=7+18+11=36
for angle a: (7/36)x180=35°
for angle c: (11/36)x180=55°
for angle b: (18/36)x180=90°
therefore: the 3 angles are 35°, 90°, 55°.
Use the diagram, which is not drawn to scale, to decide which proportions are true.
Answer:
a.
Step-by-step explanation:
I and IV only, are true proportions
what is the surface area of the cylinder? Use 3.14 for pi and round your answer to the nearest hundredth
Answer:
954.56 in²
Step-by-step explanation:
A = 2×π·r² + 2·π·r·h
= 2×3.14×64 + 2×3.14×8·11
= 401.92 + 552.64
= 954.56 in²
Describe The Function Between x= -4 and x= -1
Answer:
between x=-4 and x=-1 the graph is a straight line so it it linear and the graph is going up and to the right so it is increasing so between x=-4 and x=-1 the graph is linear and increasing
Step-by-step explanation:
Answer:
linear and increasing
25 points!!! Please help!!
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 90 kilograms and gained weight at a constant rate of 8 lbs. a week.
a. Write a function to represent this situation. Use x and y as your variables.
b. What would his weight be after 8 weeks?
Answer:
a) y= 8x+90 b) 154 pounds
Step-by-step explanation:
a) 90 will be the initial value (b) and 8 will be the slope (m)
this gives the linear function :
y = 8x + 90
b) to find his weight after 8 weeks plug in x=8
y= 64+90
y=154
154 pounds
what is the mean and mad of 33,78,99,87,90,67 plz answer this fast you will be the brainliest person
Answer:
The mean and mad of this is 75.67(rounded to nearest hundredth) and 17.10 because the deviations are: 42.6, 2.33, 23.33, 11.33, 14.33, 8.67.
Step-by-step explanation:
A rectangle has a height of 6k^3 and a width of 2k^2 + 4K +5 what is the area
Answer:
The answer is 12k^5+24k^4+30k^3.
Step-by-step explanation:
You want to multiply the height by width to find area. Multiply 6k^3 times 2k^2+4k+5. 6k^3(2k^2+4k+5)= 12k^5+24k^4+30k^3.
Final answer:
The area of a rectangle with a height of 6k³ and a width of 2k² + 4k + 5 is calculated by multiplying the height by the width, resulting in 12k⁵ + 24k⁴ + 30k³.
Explanation:
To calculate the area of a rectangle, you multiply the height by the width. The given height of the rectangle is 6k³ and the width is 2k² + 4k + 5. Applying the formula for the area of a rectangle, we have:
A = height × width
A = 6k³ × (2k² + 4k + 5)
To find the area, distribute the height into each term of the width:
A = (6k³ × 2k²) + (6k³ × 4k) + (6k³ × 5)
A = 12k⁵ + 24k⁴ + 30k³
The area of the rectangle is 12k⁵ + 24k⁴ + 30k³.
What is the slope of the line?
y+3=-4(x+7)
We don't really have to put this in slope intercept form; it would clearly end up as
y = -4x + something
so we know the slope is -4.
Answer: C) -4
Mary and Sam need to plant 198 trees. If Mary can plant 12 trees in 5 hours and Sam can plant 14 trees in 7 hours
how long would it take them if they worked together?
steps ?
Answer:
Step-by-step explanation:
so you wanna first add the hours
12
then add the number of trees painted in that number of hours
26
do 198 divided by 26
7.62( rounded to the nearest hundredth)
then take that product and multiply it by 12
91( rounded to the nearest one)
tha'ts your answer: 91 days
If a = 2 and b = 8, what is the value of the following expression?
8 divided by a + 4 x b
*The answer is not 19*
Answer:
36
Step-by-step explanation:
a = 2
b = 8
8 : a + 4 × b
= (8 : 2) + (4 × 8)
= 4 + 32
= 36
Often in statistics research, a population is too large to collect data on. A sampling distribution of a statistic is created by taking repeated samples of a certain size. But the most accurate information will be gained by taking every possible sample of a certain size.
A population of size 4 has 6 possible samples of size 2. Use this fact to explain why taking every sample of a certain size is not done for a population too large to analyze.
Final answer:
For large populations, taking every possible sample of a certain size becomes unfeasible due to the rapidly increasing number of combinations. Hence, random sampling methods are used to capture the population characteristics in a practical way, with larger samples providing more reliable statistics.
Explanation:
When a population size is large, it becomes impractical to take every sample of a certain size due to the combinatorial explosion in the number of potential samples. For instance, with a population of size 4, there are 6 possible samples of size 2, which is manageable. However, as the population size increases, the number of possible samples grows astronomically, making it unfeasible to examine them all. This is why sampling is a vital technique.
Random sampling methods like simple random sampling, stratified sampling, cluster sampling, and systematic sampling are employed to ensure each individual has an equal chance of being selected, which helps in capturing the characteristics of the entire population in the sample. Larger sample sizes are generally preferred as they reduce sampling variability and provide more reliable statistics.
Brainliest to the correct answer and all answers get thanks! Please help :3
Answer:The answer is; It builds tension in the story:and it introduces the setting.
Step-by-step explanation:
The right answer is of option D.
Look at the attached picture⤴
Hope it will help u...
h(n)=-4n-5
g(n)=n-1
Find h(g(n)) =
Answer:
h(g(n))=4n-9
Step-by-step explanation:
h(g(n))=4*g(n)-5 ( we replace n in the formule of h(n) by g(n).
h(g(n))=4(n-1)-5
h(g(n))=4n-4-5
h(g(n))=4n-9
Hope you understand it
How do you round a decimal to the nearest degree?
2. Carolyn drew a rhombus ABCD. Fill in the blanks.
BC
BC
AD
and AB
AB
DC
and
is parallel to, is equal to
is not parallel to, is not equal to
is parallel to, is not equal to
is not parallel to, is equal to
Answer:
A. Line AB is parallel to, is equal to Line DC
Step-by-step explanation:
A rhombus is a quadrilateral whose four sides have the same length. It is similar to a square in the sense that it has all its four sides having equal length. It is basically a square which is tilted at an angle. It is also called an equilateral quadrilateral.
Line AB is equivalent to Line DC & both lines are parallel one to another; the same is the relationship between Line BC & Line AD (You can check the attached image for more clarity)
Hence, option A is the answer - Lines AB & DC are parallel & equal to one another
Answer:
is parallel to, is equal to
Step-by-step explanation:
A rhombus has two sets of parallel sides. All four sides are equal in length.
Some people have freckles, and some people do not
have freckles. If a child has freckles, at least one parent
has freckles. However, the child may have a sibling that
does not have freckles. Which statement best describes
the presence of freckles? 1.Freckles are not determined
by DNA. 2. There are two alleles for freckles. 3.There is no
dominant allele for freckles. 4.Freckles are determined by
two genes instead of by one. If Mendel had crossed a true
breeding dominant plant with a true breeding recessive
plant, in which of the three generations is the recessive
trait visible? 1.F1 generation 2.P generation 3.F1 generation
and F2 generation 4.P generation and F2 generation.
Answer:I think freckles are not determined by DNA
Step-by-step explanation:
I have freckles and none of my parents do or ever have had freckles.
Answer:
There are two alleles for freckles
Step-by-step explanation:
100 on edg
help me answer this or ima get a butt whoping
solve for y
64−(3y+8y+y)÷40=37
Answer:
y= 90
Step-by-step explanation:
64−(3y+8y+y)÷40=37
Combine terms in the parentheses
64−(12y)÷40=37
Subtract 64 from each side
64-64−(12y)÷40=37-64
-(12y)÷40=-27
Multiply each side by 40
-(12y)÷40*40=-27*40
-12y =-1080
Divide each side by -12
-12y/-12 = -1080/-12
y =90
Answer:
y= 90
Step-by-step explanation:
64−( 3y+8y+y 40 )=37 64+ −3 10 y=37 −3 10 y+64=37
Step 2: Subtract 64 from both sides.
−3 10 y+64−64=37−64 −3 10 y=−27
Step 3: Multiply both sides by 10/(-3).
( 10 −3 )*( −3 10 y)=( 10 −3 )*(−27) y=90
The fraction 17 37/50 is equivalent to which of the following decimal numbers?
Answer:
17.74
Step-by-step explanation:
We know that anything divided by fifty is just two times itself as a decimal. Thus, [tex]\frac{37}{50}=0.74[/tex]. We can add this to 17 to find that [tex]17+0.74=17.74[/tex].