The circumference of a circle is found by multiplying the diameter by PI.
Since the answer are in the form of PI, the answer is 140π ft.
what is the interquartile range of this data set 2, 5, 9, 11, 18, 30, 42, 48, 71, 73, 81
Answer:
I believe the answer is 62.
Step-by-step explanation:
Hope my answer has helped you!
Tara is making dinner for 9 people. She mixes 1 1/4 kilograms of rice with 500grams of vegetables and 410 grams of meat. If all of the food is split evenly among the diners,what is the size of each serving?
Answer:
240 grams
Step-by-step explanation:
Tara uses:
[tex]1 \dfrac{1}{4}\ kg=1 \ kg\ 250 \ g=1250\ g[/tex] of rice500 g of vegatables 410 g of meatIn total, Tara uses
[tex]1250+500+410=2160\ g[/tex] of ingredients.
She is making dinner for 9 people, so the weight of each serving is
[tex]2160:9=240\ g[/tex]
Does anyone know this?
the square root of 108 is about 10.4 and since the negative symbol is on the outside of the square root symbol, the answer is -10.4
Convert (2,210°) to rectangular form.
Answer:
(-√3 , -1)
Step-by-step explanation:
I can confirm this is the correct answer because I just took the Plato test and (2cos210, 2sin210) equals the answer.
A football coach is trying to decide: When a team is ahead late in the game,
which strategy is better?
Divide the number of wins by total games for each type of defense:
Regular defense = 41 /50 = 0.82
Prevent Defense = 32/50 = 0.64
The decimal is higher for regular defense, so it is more likely to win by playing regular defense.
The last choice is the right one.
Answer:
D apex
Step-by-step explanation:
round 249,982 to the nearest hundred
Hundred (100) means the 3rd number from the right, which is: 249,982 . So use the number before that (further to the right) to determine whether you will round up or stay the same, which is 249,982
The number before the hundreds spot (8) is greater then 5, therefore we will round the number in the hundreds spot up 1
Since the number above 9 is 10 you will have to round the number in the thousands spot up as well
249,982
And it looks like the number in the thousands spot is 9 and the next number up is 10. This means you will have to round the number in the ten thousands place up 1
249,982
so...
250,000
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
250000
Step-by-step explanation:
hundred thousand ten thousand thousand, hundred ten one
2 4 9 , 9 8 2
We are rounding to the nearest hundred, so we look at the tens place
8 ≥5 so we round the hundreds place up
9 will round to 10 so the thousands place gets one bigger and the hundreds place is a zero
9 will become to 10 so the ten thousands place gets one bigger at 5 and the thousands place is a zero
249,982 becomes 250,000
What are the values of the coefficients and constant term of 0 = 4 – 7x2 + x in standard form?
a =
b =
c =
ANSWER
[tex]a = - 7[/tex]
[tex]b = 1[/tex]
[tex]c = 4[/tex]
EXPLANATION
The given quadratic equation is:
[tex]0 = 4 - 7 {x}^{2} + x[/tex]
We rewrite in the standard quadratic equation form to obtain,
[tex] - 7 {x}^{2} + x + 4 = 0[/tex]
Comparing this to the general standard quadratic equation.
[tex]a {x}^{2} + bx + c = 0[/tex]
We have my
[tex]a = - 7[/tex]
[tex]b = 1[/tex]
[tex]c = 4[/tex]
Quadratic equations can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared.
The coefficients are a = -7, b = 1 and constant term c = 4.
GivenThe given quadratic equation is;
[tex]\rm -7x^2+x+4=0[/tex]
What is a quadratic equation?Quadratic equations can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared.
The general form of the quadratic equation is;
[tex]\rm ax^2+ bx + c = 0[/tex]
Where x is an unknown variable and a, b, c are numerical coefficients.
On comparing the given equation with the quadratic equation the values of coefficient and constant terms are;
[tex]\rm ax^2+ bx + c = 0[/tex]
[tex]\rm -7x^2+x+4=0[/tex]
Here, a = -7, b = 1, c = 4
Hence, the coefficients are a = -7, b = 1 and constant term c = 4.
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What is the relationship between 1 meter and 1 centimeter?
Answer:
It was first used as “centi” by the French, who introduced the measurement when they created the metric system. When used as centi, it is defined as one-hundredth of a unit. Thus, a meter is 100 cm, or a centimeter is one-hundredth of a meter.
Step-by-step explanation:
PLEASE HELP 15 POINTS
The circumference would be 213.6283 cm and the area would be 3,631.68 cm^2
A cone has a radius of 9 units and height of 8 units. What is its volume?
Answer:
V-678.58
Step-by-step explanation:
it is volume so it is 678.58
For this case we have that by definition, the volume of a cone is given by:
[tex]V = \frac {1} {3} \pi * r ^ 2 * h[/tex]
Where:
A: It's the radio
h: It's the height
We have by the statement of the problem that:
[tex]r = 9 \ units\\h = 8 \ units[/tex]
Substituting:
[tex]V = \frac {1} {3} \pi * r ^2 * h\\V = \frac {1} {3} \pi * 9 ^ 2 * 8\\V = \frac {1} {3} \pi * 81 * 8\\V = \frac {1} {3} \pi * 648\\V = 216 \pi[/tex]
Answer:
[tex]216 \pi \ units ^ 3[/tex]
I need help with question 12
The last one❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
The last one Is correct
if a car can go 200 miles and 6 hours how far can it go in 7 hours Please answer fast!
Answer:
233.33333 miles in 7 hours
Step-by-step explanation:
233.33333 miles in 7 hours
I Need Help Please!!!!!!
Answer:
A.
Step-by-step explanation:
The answer is A. B happens between 7 and 9, C happens before 6:30, and D happens between 9:30 and 10.
simplify (11-2i)+(-3+6i)
Answer:
8+4i
Step-by-step explanation:
You use the formula a+bi
You add the whole numbers which equal a (11 + -3)
You add the imaginary numbers which equal bi (-2i+6i)
You get 8+4i
Makayla has $8 to buy tickets at the school fair. Each ticket costs $1.50. Which inequality
best represents how many tickets she can buy?
n = number of tickets
-
-
-
A. n<5
B. n< 6
C. n<8
The tickets she can buys N<5
We have given that
"Makayla has $8 to buy tickets at the school fair. each ticket costs $1.50"
What is the formula for tickets makayla buys?Total number of money=cost for each ticket × (N)
can be written as,
[tex]$8 = (1.50/ticket)*N.[/tex]
Dividing both sides by ($1.50/ticket) results in
[tex]N=\frac{8}{1.50/ticket}[/tex]
[tex]N=\frac{8}{1.50/ticket}\\\\N= 5 \frac{1}{3} tickets[/tex]
N=5.33
Therefore tickets she can buys N=5(1/3) or < 5.
The tickets she can buys N<5.
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what is one step equation
Answer:
Solving One-Step Equations. A one-step equation is as straightforward as it sounds. You will only need to perform one step in order to solve the equation. One goal in solving an equation is to have only variables on one side of the equal sign and numbers on the other side of the equal sign
Step-by-step explanation:
ex: 3x-9=25
Give brainlist plzzz
Answer:
Step-by-step explanation:
A one-step equation is an algebraic equation you can solve in only one step. Once you've solved it, you've found the value of the variable that makes the equation true. To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself.
Answer by Khan Academy
Ranger used your advice to simplify the following expression. Follow Ranger’s steps to complete the simplified expression.
4(2x – 5)
1. Distribute the 4 through the parentheses:
4(2x) − 4(5)
2. Find each product:
(blank) x − 20
Answer:
[tex]8[/tex]
Step-by-step explanation:
[tex]4(2x-5) \\ \\ 4(2x)-4(5) \\ \\ 4*2=8 \\ \\ 8x-20[/tex]
For this case we have the following expression:
[tex]4 (2x-5) =[/tex]
We simplify according to the steps of Ranger.
We apply distributive property to the terms within parentheses.[tex]4 * (2x) -4 * (5) =[/tex]
We find each product:
[tex]8x-20[/tex]
Answer:
The simplified expression is 8x-20
An "8" is placed in the blank space
Amanda got a new cell phone and used 95 text message in the first two weeks. In those two weeks, she had used 38% of her total messages for the month. How many total available text messages did Amanda have for the month?
Answer:
D
Step-by-step explanation:
95 texts is 38% of her total messages.
95 = 0.38 × x
x = 95 / 0.38
x = 250
Please help ASAP! I will mark brainiest!
The population of Canyon Edge is 210,000, and the rate of population growth is 12.5%.
A. Using the formula for exponential growth, write a formula for the population of the town, y, after x years.
B. Next, use your formula to find population of Canyon Edge after 4 years.
Answer 2625
Step-by-step explanation: if the population is 210,000 and the rate is 12.5%
then make two fraction lines on your paper and on the second fraction line put 12.5% as the numerator and then 100 as the denominator then on the first fraction put x as your numerator and 210,000 as the denominator then cross multiple 120,000 to 12.5 then divide by 100 which your answer should be 2625
While training for a marathon, Jeff wants to increase the number of miles he runs each day. On the first day of training, Jeff runs 5 miles. He plans on increasing the number of miles he runs a day by 1 for the remainder of the week. Write a series to model the situation.
Also the series doesn't have to be more than seven numbers*****
Answer:
The series is 5 , 6 , 7 , 8 , 9 , 10 , 11
Step-by-step explanation:
* Lets revise the arithmetic series
- In the arithmetic series there is a constant difference between
each two consecutive numbers
- Ex:
# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)
# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)
# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)
* General term (nth term) of an Arithmetic series:
- If the first term is a and the common diffidence is d, then
U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d
- So the nth term is Un = a + (n – 1)d, where n is the position of the
number in the series
* Lets solve the problem
- Jeff wants to increase the number of miles he runs each day
∴ He will add the initial value by constant number each day
- He plans on increasing the number of miles he runs a day by 1
∴ The constant value is 1 mile
- On the first day of training, Jeff runs 5 miles
∴ The first value is 5 miles
∴ The series is arithmetic
∵ a = 5 , d = 1
- He do that for the remainder of the week
∵ The week has 7 days
∴ The series has 7 terms
∵ The rule of the series is Un = a + (n - 1)d
∵ a = 5 and d = 1
∴ Un = 5 + (n - 1)(1)
∴ Un = 5 + n - 1
∴ Un = 4 + n ⇒ n is the position of the number
- Substitute n from 1 to 7 to find the series
∴ The series is 5 , 6 , 7 , 8 , 9 , 10 , 11
Answer:
the next answer is arithmetic, and then 56 miles
Step-by-step explanation:
I just did on edge :)
What function does this graph represent?
Answer:
B. [tex]f(x)=0.2(x-2)^2+1[/tex]
Step-by-step explanation:
The equation of a parabola in the vertex form is given by:
[tex]f(x)=a(x-h)^2+k[/tex], where V(h,k) is the vertex of the parabola
This parabola opens upwards and has its vertex at: V(2,1)
The a-value must therefore be positive.
The function must be
[tex]f(x)=0.2(x-2)^2+1[/tex]
The correct option is B.
What is the value of x?
The angles are congruent meaning that you can set them equal to each other:
26 = 5x + 11
Now you can solve for x
26 - 11 = 5x + (11 - 11)
15 = 5x
15/5 = 5x/5
x = 3
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
26 = 5x + 11
5x = 15
x = 3
A car leave P and drives 3km North to Q. From Q it's drives 15km on a bearing North 45degree East to R. Find the distance and bearing of R from P
Answer:
17.25 km N37.9°E
Step-by-step explanation:
The way to solve this is to determine the vertical and horizontal distances traveled.
The bearing means 45° east of north.
Vertically, the car travels a distance of:
y = 3 + 15 cos 45°
y = 3 + 7.5√2
y ≈ 13.6
Horizontally, the car travels a distance of:
x = 15 sin 45°
x = 7.5√2
x ≈ 10.6
The total distance we find with Pythagorean theorem:
d = √(x² + y²)
d = √(10.6² + 13.6²)
d ≈ 17.25
The bearing from north we find with tangent:
tan θ = x / y
tan θ = 10.6 / 13.6
θ ≈ 37.9°
Ryan created the two-way table below to describe his scoring in his soccer team’s wins and losses last season. Ryan’s Scoring in Wins and Losses Team Won Team Lost Ryan Scored 6 4 Ryan Did Not Score 9 11 In what percentage of the team’s wins did Ryan score a goal?
Answer: There is 40% of team's win that Ryan score a goal.
Step-by-step explanation:
Since we have given that
Team Won Team lost
Ryan scored 6 4
Did not score 9 11
(by Ryan)
-------------------------------------------------------------------------
Total 15 15
Percentage of team's win that Ryan score a goal is given by
[tex]\dfrac{6}{15}\times 100\\\\=40\%[/tex]
Hence, there is 40% of team's win that Ryan score a goal.
Answer:
40%
Step-by-step explanation:
because I said so.
I don’t even know where to start please help
Answer:
12
Step-by-step explanation: we will use pathogorean theorem because there is a right triangle. a^2+b^2=c^2
We know BE=9 we need AE to find AB
You can make another triangle on the end. AD=28 - 12 (BC) = 16
16/2 = 8 so AE= 8
8^2+9^2=c^2
145=c^2
Square root of 145=c
C=12.04
Linda is flying two kites. She has 99 feet of string out to one kite and 112 feet out to the other kite. The angle formed by the two strings is 39° as shown in the figure below. Find the distance between the kites
Answer:
71.49134 feet
Step-by-step explanation:
Side a = 112
Side b = 99
Side c = 71.49134
Angle ∠A = 80.37° = 80°22'11" = 1.40272 rad
Angle ∠B = 60.63° = 60°37'49" = 1.0582 rad
Angle ∠C = 39° = 0.68068 rad
: )
The distance between the kites will be 128.16 feet.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
Linda has 99 feet of string out to one kite and 112 feet out to the other kite.
And, The angle formed by the two strings is 39°.
Now,
Find the distance between the kites as;
Since, Linda has 99 feet of string out to one kite and 112 feet out to the other kite.
And, The angle formed by the two strings is 39°.
Let the distance between the kites = x
So, We can formulate as;
x² = (112)² + 99² - 2 × 112 × 99 cos 39°
Solve for x as;
x² = 12,544 + 9,801 - 22,176 × 0.267
x² = 22,345 - 5,921
x² = 16,424
x² = √16,424
x = 128.16
Thus, The distance between the kites will be 128.16 feet.
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Find the value of the following expression:
(2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 2^28
Write your answer in simplified form. Show all of your steps.
Answer:
25
Step-by-step explanation:
Expression: (2⁸ ⋅ 5⁻⁵ ⋅ 19⁰)⁻² ⋅ (5⁻²/2³)⁴ ⋅ 2²⁸
Inner-most powers: 2⁻¹⁶ • 5¹⁰ • 1 • 5⁻⁸/2¹² • 2²⁸
Combine like terms: 2¹² • 5²/2¹²
Cancel out: 5²
Solve: 25
The expression (2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5^-2/(2^3)^4 ⋅ 2^28 simplifies to 2^24 * 5^8.
Explanation:To find the simplified form of the expression (2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5^-2/(2^3)^4 ⋅ 2^28, you use the properties of exponentiation.
First, any number to the power of 0 is always 1, so 19^0 is 1. Also, any number to a negative power is just the inverse of that number to the positive power. Thus, 5^−5 becomes 1/(5^5). So, the part in parentheses simplifies as follows:
2^8 ⋅ 5^−5 ⋅ 19^0 = 2^8 * 1/(5^5) * 1 = 2^8 / 5^5.
To raise this fraction to the negative 2 power, you swap the numerator and the denominator and raise it to the positive 2 power:
[tex](2^8 / 5^5)^-2 = (5^5 / 2^8)^2 = 5^1^0 / 2^1^6.[/tex]
Next, we tackle the second part of the expression: 5^(-2) / (2^3)^4 = 1/(5^2) / 2^12 = 2^12 / 5^2.
Finally, we multiply this by 2^28.
So, the entire expression simplifies to:
[tex]5^1^0 / 2^1^6 * 2^1^2 / 5^2 * 2^2^8 = 5^1^0 * 2^1^2 * 2^2^8 / (2^1^6 * 5^2) = 5^8 * 2^2^4 = 2^2^4 * 5^8[/tex]
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What is the mode for the set of values? 5 9 1 2 7 3 1 8 8 1 3
The mode is the number repeated most often, so if we arrange these numbers in order, we can see what numbers repeat the most-
1 1 1 2 3 3 5 7 8 8 9
The number that repeats the most is 1
(1 counted 3 times)
(3 counted twice)
(8 counted twice)
The mode for the set of values is 1. It's calculated by counting how many times a number appears in a data collection.
What is mode?Mode is the number in the data set repeating maximum number of times. It is obtained by calculating how many times the number are repeating in a data set.
The given data set is;
5 9 1 2 7 3 1 8 8 1 3
Numbers Count (No of times)
1 3
3 2
8 2
1 is the most repeating number. It repeats three times.
Hence, the mode for the set of values is 1.
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Two supplementary angles are congruent. Which equation gives the measure in degrees, d, of each angle?
Final answer:
Two congruent supplementary angles both measure 90 degrees each. The equation representing their measures is 2d = 180, where d stands for the degree measure of each angle.
Explanation:
If two supplementary angles are congruent, this means that they have the same measure. Supplementary angles add up to 180 degrees. Given that we have two congruent angles, let's name the measure of each angle as d. Therefore, the equation we are looking for will add the two angles together to equal 180 degrees.
The equation that gives the measure of each angle in degrees is:
d + d = 180
Since we have two of the same angles, we can simplify this to:
2d = 180
By dividing both sides of the equation by 2, we find that:
d = 90
Therefore, the measure of each congruent supplementary angle is 90 degrees.
Eliminate the parameter. X= 6 cos t and y= 3 sin t
To eliminate 't' from the parametric equations X=6cos t and Y=3sin t, square both equations and substitute the resulting cos^2 t and sin^2 t values into the trigonometric identity equation sin^2 t + cos^2 t = 1. This results in the equation X^2 / 36 + Y^2 / 9 = 1, effectively eliminating 't' from the equations.
Explanation:Eliminating the Parameter for X=6cos t and Y=3sin t
Our goal here is to eliminate the parameter 't' from the two given equations, which is a common task in parametric equations.
For such problems involving sin and cos, we can use the trigonometric identity sin^2 t + cos^2 t = 1. However, the provided equations don't directly represent sin t or cos t. To bring them in those forms, we start by squaring both equations.
Squaring X and Y yields: X^2 = 36cos^2 t and Y^2 = 9cos^2 t.
Next, we solve each equation for cos^2 t and sin^2 t separately.
cos^2 t = X^2 / 36 and sin^2 t = Y^2 / 9.
Substituting these values into the trigonometric identity equation, we get: X^2 / 36 + Y^2 / 9 = 1 which is the equation of an ellipse in x and y. Hence, 't' has been eliminated.
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To eliminate the parameter x = 6 cos t and y = 3 sin t, you can express x in terms of y as x = cos(t) and substitute it into the equation y = 3 sin(t), resulting in y = 3 sin(arccos(x)).
To eliminate the parameter in this case, we need to express x in terms of y. We can start by dividing the equation X = 6 cos(t) by 6 to get x = cos(t). Then we can substitute this expression for x in the equation y = 3 sin(t) to get[tex]y = 3 sin(cos^(-1)(x)).[/tex]
Since [tex]cos^(-1)(x)[/tex]is the inverse of cosine, we can rewrite this as y = 3 sin(arccos(x)).
So, when we eliminate the parameter, we have the equation y = 3 sin(arccos(x)).