For this case we have by definition, that the circumference of a circle is given by the following formula:
[tex]C = \pi * d[/tex]
Where:
d: Is the diameter of the circumference
So:
[tex]C = \pi * 25\\C = 78.5398[/tex]
Rounding to a decimal we have:
[tex]C = 78.5 \ yards[/tex]
ANswer:
[tex]C = 78.5 \ yards[/tex]
Ying Ying wants to buy some petunias.
The table compares the number of petunias Ying Ying could buy and the money that would remain in her wallet (in dollars).
What is the price of one petunia?
Answer: $0.25
Step-by-step explanation:
Let x be the total money was in her wallet and m be the cost of each petunia,
From the given table , the money left in wallet after purchasing 2 petunia =$6.50
Then we have the following equation :-
[tex]6.50=x-2m-----(1)[/tex]
Also, the money left in wallet after purchasing 8 petunia =$5
Then, we have
[tex]5=x-8m---------(2)[/tex]
Subtracting (2) from (1) , we get
[tex]6.50-5=-2m-(8m)\\\\\Rightarrow\ -2m+8m=1.50\\\\\Rightarrow\ 6m=1.50\\\\\Rightarrow\ m=\dfrac{1.50}{6}=0.25[/tex]
Hence, the price of one petunia = $0.25
Answer:
$.25
Step-by-step explanation:
Statistics
1. What is the sum of all the results included in the sample divided by the number of observations. It is the average.
2. total data set
3. this is the collection, display, and analysis of the data
4. this is asking or inquiring people's opinion
5. this is the most frequently occurring element in a set
6. this measures the deviation between the scores and the mean, it mesures how dispersed the data is. the higher this is the more spread out the data is from each other.
7. the type of sample in which each member of the sample set or group has equal chance of being chosen
8. the spread of the middle 50% of the data
9. the middle term in a set of data. if the data set has an even number of terms this is the average of the two middle terms.
10. this is the process of gathering data from every member of a population
Answer:
1. mean
2. population
3. statistics
4. survey
5. mode
6. standard deviation
7. random
8. interquartile range
9. median
10. census
Step-by-step explanation:
Peterson needed to pack 1000 eggs into flats that held 2 1/2 dozen eggs. How many flats could he fill?
Answer:
33
Step-by-step explanation:
Each holds 2.5*12 = 30 eggs.
1000/30 = 33.333333
So he fills 33 flats.
The number of flats he could fill is 33
Peterson needed to pack 1000 eggs into flats that held 2 1/2 dozen eggs. To find out how many flats he could fill, we need to calculate the total dozen eggs in 1000 and then divide by 2.5 dozen since each flat holds 2 1/2 dozen eggs. One dozen equals 12 eggs. Therefore, 1000 eggs would be equivalent to 1000/12 = 83.33 dozen. To find the number of flats, we divide the total dozen eggs by the capacity of each flat in dozen: 83.33 dozen / 2.5 dozen = 33.33. This means Peterson can completely fill 33 flats, with a partial amount of eggs left over not sufficient to fill another flat completely.
The square root of 73
8.5 is the answer to your question
The square root of 73 is approximately 8.544. It lies between the perfect squares of 64 and 81. The square root cannot be represented exactly as an integer or a simple fraction.
To find the square root of 73, we recognize that it is not a perfect square. Thus, the square root cannot be represented exactly as an integer or a simple fraction. We use approximation methods or a calculator to find it.
Steps to Find the Approximate Square Root of 73:
First, find the nearest perfect squares surrounding 73. We know that 64 (8²) and 81 (9²) are the closest.Next, since 73 is closer to 64, we can estimate that √{73} is slightly more than 8.Using a calculator, we find that the square root of 73 is approximately 8.544.So, the square root of 73 is about 8.544.
A cone has a radius of 4 units and a height of 6 units. Its volume is (A. 96 / B. 100.48 / C. 301.44 / D. 401.92) cubic units. If a cylinder has the same radius and the same height as the cone, then its volume is (A. 66.99 / B. 288 C. / 301.44 / D. 904.32) cubic units.
Answer:
A cone: B. V = 100.48 cubic unitsA cylinder: C. V = 301.44 cubic unitsStep-by-step explanation:
The formula of a volume of a cone:
[tex]V=\dfrac{1}{3}\pi r^2H[/tex]
r - radius
H - height
We have r = 4 u and H = 6 u. Substitute:
[tex]V=\dfrac{1}{3}\pi(4^2)(6)=\dfrac{1}{3}\pi(16)(6)=\dfrac{1}{3}\pi(96)=32\pi\ u^3[/tex]
[tex]\pi\approx3.14\to V\approx(32)(3.14)=100.48\ u^3[/tex]
If the cylinder has the same radius and height as a cone, then the volume of the cylinder is three times larger than the volume of the cone.
Therefore, the volume of acylinder:
[tex]V\approx3(100.48)=301.44\ u^3[/tex]
Why?
The formula of a volume of a cone:
[tex]V_{cone}=\dfrac{1}{3}\pi r^2H[/tex]
The formula of a volume of a cylinder:
[tex]V_{cylinder}=\pi r^2H[/tex]
Therefore
[tex]V_{cone}=\dfrac{1}{3}V_{cylinder}\to V_{cylinder}=3V_{cone}[/tex]
If the radius and height are the same.
Answer:
A cone has a radius of 4 units and a height of 6 units.
Its volume is
[100.48]
cubic units. If a cylinder has the same radius and the same height as the cone, then its volume is
[301.44]
cubic units.
Step-by-step explanation:
The fulcrum of a lever is the point on which it turns. Based on the function, how many pounds of force are needed to lift the rock if the distance from the fulcrum is 6 feet?
Answer: 10 pounds of force
Answer:
10 lb of force are needed to lift the rock if the distance from the fulcrum is 6 feet.
Step-by-step explanation:
From the given graph it is clear the curve passing through the point (1.5,40), (2,30), (2.5,24), (3,20) and (4,15).
These points satisfy by the equation
[tex]y=\frac{60}{x}[/tex]
where, x is the distance in feet from the fulcrum and y is needed force in pounds.
Put x=6 in this equation,
[tex]y=\frac{60}{6}=10[/tex]
Therefore, 10 lb of force are needed to lift the rock if the distance from the fulcrum is 6 feet.
Please help me with this question.. { 8th Grade Math} I don't need an explanation just the answers.
Answer:
45 degrees
2 units
Step-by-step explanation:
A rotation is an Isometry so therefore the 45-45-90 Triangle is the exact same size and shape after the rotation.
How many ways can a president and Vice President be selected from a class of 12?
A. 23
B. 72
C. 132
D.1,320
for president, we have 12 possible options
12_
Once we’ve decided on a president we only have 11 possible people to choose from for vice president
12_11
multiplying these options together gives us:
12•11= 132
So the answer is C.132
The correct answer is C 132
What is the sum of the geometric sequence 1,-6,36,... if there are 7 terms?
Answer:
39,991Step-by-step explanation:
The formula of a sum of a geometric sequence:
[tex]S_n=\dfrac{a_1(1-r^n)}{1-r}[/tex]
We have
[tex]a_1=1,\ a_2=-6,\ a_3=36,\ ....\\\\r=\dfrac{a_2}{a_1}\to r=\dfrac{-6}{1}=-6[/tex]
Substitute:
[tex]a_1=1,\ n=7,\ r=-6:\\\\S_7=\dfrac{1(1-(-6)^7)}{1-(-6)^7}=\dfrac{1-(-279936)}{1+6}=\dfrac{279937}{7}=39991[/tex]
Which graph best represents the solution to the following pair of equations?
y = −2x + 13
y = 2x − 3
A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2 times x plus 13 and y is equal to 2 times x minus 3 are plotted. These 2 lines intersect at the ordered pair negative 4, negative 5.
A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2 times x plus 13 and y is equal to 2 times x minus 3 are plotted. These 2 lines intersect at the ordered pair 4, 5.
A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2 times x plus 13 and y is equal to 2 times x minus 3 are plotted. These 2 lines intersect at the ordered pair negative 4, 5.
A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2x plus 13 and y is equal to 2x minus 3 are plotted. These 2 lines intersect at the ordered pair 4, negative 5.
ANSWER
See attachment
EXPLANATION
The given equations are:
y = −2x + 13
y = 2x − 3
We equate the two equations to get
−2x + 13=2x − 3
Group similar terms:
-2x-2x=-3-13
-4x=-16
Divide both sides by -4,
x=4
Put x=4 into equation (2)
y=2(4)-3
y=5
The two graphs should intersect at:
(4,5)
Answer: The answer is (4, 5)
Step-by-step explanation:
The dot plot shows the number of magazines sold. Determine the range of the data set.
A) 7
B) 8
C) 10
D) 25
Answer:
B
Step-by-step explanation:
The range is the difference between the largest and smallest members of the data set.
largest = 25 and smallest = 17
range = 25 - 17 = 8 → B
if logM/N = 4 and logP/N =7, what can you say about the relationship between M and P?
A. P= 3M
B. M= 3P
C. P= 1000M
D. P= 100M
Answer:
C. P= 1000M
Step-by-step explanation:
[tex]log(\frac{M}{N} )=4[/tex]
Using the quotient rule of logs we can write:
log(M) - log(N) = 4
or
log(M) - 4 = log(N) (Equation 1)
[tex]log(\frac{P}{N} )=4[/tex]
Using the quotient rule of logs we can write:
log(P) - log(N) = 7
or
log(P) - 7 = log(N) (Equation 2)
Comparing equation 1 and 2, we can write:
log(M) - 4 = log(P) - 7
-4 + 7 = log(P) - log(M)
log(P) - log(M) = 3
[tex]log(\frac{P}{M} )=3[/tex]
Converting the log to exponential form we get:
[tex]\frac{P}{M}=10^{3}\\\\\frac{P}{M}=1000\\\\P=1000M[/tex]
Thus, option C gives the correct answer.
Final answer:
The relationship between M and P is that P is 1000 times greater than M; hence, the correct option is P = 1000M.
Explanation:
Given the two equations log(M/N) = 4 and log(P/N) = 7, we need to find the relationship between M and P.
To understand this relationship, we use the property of logarithms that equates to a multiplication by 10 for each unity increase in logarithmic value.
From the first equation, M/N = 10⁴, and from the second equation, P/N = 10⁷. Simplifying these, M = 10⁴ N and P = 10⁷ N.
To find the relationship between M and P, we can divide the equation for P by the equation for M:
P/M = (10⁷ N) / (10⁴ N) = 10³ = 1000.
Therefore, P is 1000 times M, which means P = 1000M
How do I do number 3?
Answer:
120 in^2
Step-by-step explanation:
Split the shape into a square and a rectangle, like you did. A square has all equal sides, so you know that 9 x 9= 81. If the whole length of the square and the triangle combined is 15, then you know the triangle base is 6. Multiply the height of the triangle by the base and .5 to get that area. Add everything together for the answer
Stuck on geometric series question (in picture)
Answer:
The value of a7 is 128
Step-by-step explanation:
* Lets revise the rule of the geometric series
-There is a constant ratio between each two consecutive numbers
- Ex:
# 5 , 10 , 20 , 40 , 80 , ………………………. (×2)
# 5000 , 1000 , 200 , 40 , …………………………(÷5)
* General term (nth term) of a Geometric series:
# a1 = a , a2 = ar , a3 = ar2 , a4 = ar3 , a5 = ar4
# an = ar^n-1, where a is the first term , r is the constant ratio
between each two consecutive terms , and n is the position
of the term in the series
* Now lets solve the problem
∵ a = 2
∵ r = -2
* To find a7 put n = 7
∵ an = a (r)^n - 1
∴ a7 = 2 (-2)^(7 - 1) = 2 (-2)^6
∵ (-2)^6 = 64 ⇒ even power canceled the negative sign
∴ a7 = 2 (64) = 128
∴ The series is : 2 , -4 , 8 , -16 , 32 , -64 , 128 , ............
* The value of a7 is 128
How can you find f(2) if f(x) = 3x2 – 2?
a. Square 2. Subtract 2 from the result, and then multiply by 3.
b. Square 2. Multiply the result by 3, and then subtract 2.
c. Multiply 2 by f.
d. Multiply 2 by 3, square the result, and then subtract 2.
Answer:
b
Step-by-step explanation:
The square of 2 and the resultant is multiplied by 3 then subtract by 2. Then the correct option is B.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
f(x) = 3x² - 2
The value of the function at x = 2 will be given as,
f(2) = 3(2)² - 2
The square of 2 and the resultant is duplicated by 3 then, at that point, taken away by 2. Then, at that point, the right choice is B.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
Which equation has an a-value of –2, a b-value of 1, and a c-value of 3? 0 = –2x2 + x + 3 0 = 2x2 + x + 3 0 = –2x2 + 3 0 = 2x2 – x + 3
ax² + bx + c = 0
You know:
a = -2
b = 1
c = 3
The 1st option is your answer
-2x² + x + 3 = 0
a = -2
b = 1
c = 3
Answer:
A: 0 = –2x2 + x + 3
Step-by-step explanation:
edge
i sawer there only 2 more
answer:
y=5.5x
explanation:
rise over run=rise/run= x/y
for every t shirt or "y" multiply 5.5 and it will give u the total cost or"x"
doris tiene en su cartera billetes de $10 y de $20 . si en total tiene 25 billetes y $330 ¿cuantos billetes tiene de cada tipo?
Answer:
17 $10s and 8 $20s
Step-by-step explanation:
Solve the following equation. Then place the correct number in the box provided. 8x/7 = 8
Answer:
x = 7
Step-by-step explanation:
Assuming we need to solve for x, we cross multiply and do algebra to solve it. Steps shown below:
[tex]\frac{8x}{7}=8\\8x=7*8\\8x=56\\x=\frac{56}{8}\\x=7[/tex]
The correct answer is x = 7
Answer:
x = 7Step-by-step explanation:
[tex]\dfrac{8x}{7}=8\qquad\text{multiply both sides by 7}\\\\7\!\!\!\!\diagup^1\cdot\dfrac{8x}{7\!\!\!\!\diagup_1}=7\cdot8\\\\8x=56\qquad\text{divide both sides by 8}\\\\x=7[/tex]
Write parametric equations of the line -3x+4y=7
Answer:
x = 1 + t and y = 2.5 + 0.75t
Step-by-step explanation:
Parametric equations are the equations in which the all the variables of the equation are written in terms of a single variable. For example in 2-D plane, the equation of the line is given by y=mx+c, there x is the independent variable, y is the dependent variable, m is the slope, and c is the y-intercept. The equation of the given line is -3x + 4y = 7. The goal is to convert the variables x and y in terms of a single variable t. First of all, take two points which lie on the line. By taking x=1, y comes out to be 2.5 and by taking x=0, y comes out to be 2.5. The general form of the straight line is given by:
(x, y) = (x0, y0) + t(x1-x0, y1-y0), where (x, y) is the general point, (x0, y0) is the fixed point, t is the parametric variable, and (x1-x0, y1-y0) is the slope.
Let (x0, y0) = (1, 2.5) and (x1, y1) = (0, 1.75). Substituting in the general equation gives:
(x, y) = (1, 2.5) + t(1, 0.75). This implies that x = 1 + t and y = 2.5 + 0.75t!!!
Answer:
x=t, y=(3/4)t+(7/4)
Step-by-step explanation:
We start by changing the equation the slope-intercept form.
4y=3x+7
y=(3/4)x+(7/4)
then we set x equal to t
x=t
and substitute
y=(3/4)t+(7/4)
that's it.
5. What is the combined weight of the 3/4-lb bags?
The answer would be 3.175 kg
Answer:knee r
Step-by-step explaning
Reduce to simplest form 3/2+(-6/5)
Answer:
[tex] \frac{3}{10} [/tex]
Step-by-step explanation:
First we need to find a common denominator for the fractions.
[tex] \frac{3}{2} + \frac{ - 6}{5} \: is \: to \: \frac{15}{10} + \frac{ - 12}{10} [/tex]
Now we just need to work out the result by adding the numerators.
[tex] \frac{15}{10} + \frac{ - 12}{10} = \frac{3}{10} [/tex]
The area of a square is 1 square foot. What is the length of each side of the square? a. 1 ft. b. 2 ft. c. 3 ft. d. 4 ft.
Answer:
A. 1ft
Step-by-step explanation:
1 x 1 = 1 squared
So 1 foot x 1 foot = 1 square foot
Answer:
a. 1 ft
Step-by-step explanation:
The area of a square is found by using the formula
A = s^2 where s is the side length of the square
We know the area is 1 ft^2
1 = s^2
Take the square root of each side
sqrt(1) = sqrt(s^2)
1 = s
The side length is 1 ft
Share £747 in the ratio 2:7
Answer:
£166 : £581
Hope this helps :)
Have a great day !
5INGH
Step-by-step explanation:
2 + 7 = 9
747 ÷ 9 = 83
2 : 7
( × 83 both sides )
166 : 581
Answer this pls !!!.... and thanx !
This is the order you need to use to solve this problem: PEMDAS
(Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)
So you start with P and make your way down to S
(2x + 3)(x - 6) - 2x² + 3x + 30 First multiply (2x + 3)(x - 6) (distribute)
(2x)x - (2x)6 + (3)x - (3)6 = 2x² - 12x + 3x - 18 = 2x² - 9x - 18
(2x²- 9x - 18) - 2x² + 3x + 30 Simplify by combining like terms
-6x + 12
Answer:
- 6x + 12
Step-by-step explanation:
Expand the product of factors
= 2x² - 12x + 3x - 18 - 2x² + 3x + 30 ← collect like terms
= (2x² - 2x²) + (- 12x + 3x + 3x) + (- 18 + 30) ← simplify parenthesis
= 0 + (- 6x) + (12)
= - 6x + 12
If George the giraffe is 18 feet tall how many inches tall is he
To convert George the giraffe's height from feet to inches, multiply 18 feet by the conversion factor of 12 inches per foot, resulting in George being 216 inches tall.
Explanation:If George the giraffe is 18 feet tall and you want to convert his height to inches, you need to know that one foot is equal to 12 inches. To find out how many inches tall George the giraffe is, you multiply his height in feet (18 feet) by the number of inches in one foot.
Here's the calculation step by step:
Identify the height in feet: 18 feetKnow the conversion factor: 1 foot = 12 inchesMultiply the height in feet by the conversion factor: 18 feet × 12 inches/foot = 216 inchesTherefore, George the giraffe is 216 inches tall.
What is the value of x?
Answer:
28
Step-by-step explanation:
Answer:
x = 14
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 6, hence
sum = 180° × 4 = 720°
Each exterior angle plus it's interior angle = 180°
Subtract each exterior angle from 180 to obtain interior angle
180 - 80 = 100, 180 - 56 = 124, 180 - 61 = 119, 180 - 43 = 137, 180 - 92 = 88
The 6 th interior angle is the sum of the 5 interior angles subtracted from 720
6 th angle = 720° - (100 + 124 + 119 + 137 + 88)° = 720° - 568° = 152°
The 6 th angle and 2x sum to 180 ( same reason as given above )
2x + 152 = 180 ( subtract 152 from both sides )
2x = 28 ( divide both sides by 2 )
x = 14
marta is solving the equation s=2πrh+2πr^2 for h. which should be the result?
s/2πr-r=h
s-r/2πr=h
s-r/2π=h
s-2π/r=h
Answer: First option.
Step-by-step explanation:
Marta needs to subtract [tex]2\pi r^2[/tex] from both sides of the equation:
[tex]s=2\pi rh+2\pi r^2[/tex]
[tex]s- 2\pi r^2=2\pi rh+2\pi r^2- 2\pi r^2[/tex]
[tex]s- 2\pi r^2=2\pi rh[/tex]
Now she needs to divide both sides of the equation by [tex]2\pi r[/tex], then:
[tex]h=\frac{s- 2\pi r^2}{2\pi r}[/tex]
Rewriting:
[tex]h=\frac{s}{2\pi r}-\frac{2\pi r^2}{2\pi r}[/tex]
Simplifying, she should get:
[tex]h=\frac{s}{2\pi r}-r[/tex]
This matches with the first option.
Answer:
[tex]\frac{s}{2\pi r}-r=h[/tex]
Step-by-step explanation:
Given equation is [tex]s=2\pi rh+2\pi r^2[/tex].
Now we need to solve this equation for "h" and match with the given choices to find the correct choice.
[tex]s=2\pi rh+2\pi r^2[/tex]
[tex]s-2\pi r^2=2\pi rh[/tex]
[tex]2\pi rh=s-2\pi r^2[/tex]
[tex]h=\frac{s-2\pi r^2}{2\pi r}[/tex]
[tex]h=\frac{s}{2\pi r}-\frac{2\pi r^2}{2\pi r}[/tex]
[tex]h=\frac{s}{2\pi r}-r[/tex]
[tex]\frac{s}{2\pi r}-r=h[/tex]
Hence first choice [tex]\frac{s}{2\pi r}-r=h[/tex] is correct choice.
Please help i need it the answer right now
Answer: First graph
Step-by-step explanation:The lines wont intersect
Answer:
The answer is option A.
What’s 3.24 rounded to the nearest tenth
Answer:
3.2
Step-by-step explanation:
it is closer to 3.2 than 3.3
Answer: 3.2
Step-by-step explanation:
2 is the the tenths place and 4 is in the hundredths. .24 rounded to .2 is now the tenths therefore 3.2 is the tenths place