Answers
Answer: 21.98
Step-by-step explanation:
The formula for circumference is r times 2 times pi
so, the circumference is
7x3.14=21.98
Related Questions
which of the following solutions is the most acidic A. a solution is the most acidic B. a solution with pH of 2 C. a solution with pH of 7 D. a solution with a pH of 9
Answers
Answer:
to gorvenit means group
For the following telescoping series, find a formula for the nth term of the sequence of partial sums {Sn}. Then evaluate limn→[infinity]Sn to obtain the value of the series or state that the series diverges.
1) ∑[infinity]k = 1(1/k + 1 - 1/k + 2).
2) ∑[infinity]k = 1(1/(k + 6)(k + 7).
Answers
Answer:
The following are the solution to the given points:
Step-by-step explanation:
Given value:
\(1) \sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2}\\\\2) \sum ^{\infty}_{k = 1} \frac{1}{(k+6)(k+7)}\)
Solve point 1 that is \(\sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2}\\\\\):
when,
\(k= 1 \to s_1 = \frac{1}{1+1} - \frac{1}{1+2}\\\\\)
\(= \frac{1}{2} - \frac{1}{3}\\\\\)
\(k= 2 \to s_2 = \frac{1}{2+1} - \frac{1}{2+2}\\\\\)
\(= \frac{1}{3} - \frac{1}{4}\\\\\)
\(k= 3 \to s_3 = \frac{1}{3+1} - \frac{1}{3+2}\\\\\)
\(= \frac{1}{4} - \frac{1}{5}\\\\\)
\(k= n^ \to s_n = \frac{1}{n+1} - \frac{1}{n+2}\\\\\)
Calculate the sum \((S=s_1+s_2+s_3+......+s_n)\)
\(S=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+.....\frac{1}{n+1}-\frac{1}{n+2}\\\\\)
\(=\frac{1}{2}-\frac{1}{5}+\frac{1}{n+1}-\frac{1}{n+2}\\\\\)
When \(s_n \ \ dt_{n \to 0}\)
\(=\frac{1}{2}-\frac{1}{5}+\frac{1}{0+1}-\frac{1}{0+2}\\\\=\frac{1}{2}-\frac{1}{5}+\frac{1}{1}-\frac{1}{2}\\\\= 1 -\frac{1}{5}\\\\= \frac{5-1}{5}\\\\= \frac{4}{5}\\\\\)
\(\boxed{\text{In point 1:} \sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2} =\frac{4}{5}}\)
In point 2: \(\sum ^{\infty}_{k = 1} \frac{1}{(k+6)(k+7)}\)
when,
\(k= 1 \to s_1 = \frac{1}{(1+6)(1+7)}\\\\\)
\(= \frac{1}{7 \times 8}\\\\= \frac{1}{56}\)
\(k= 2 \to s_1 = \frac{1}{(2+6)(2+7)}\\\\\)
\(= \frac{1}{8 \times 9}\\\\= \frac{1}{72}\)
\(k= 3 \to s_1 = \frac{1}{(3+6)(3+7)}\\\\\)
\(= \frac{1}{9 \times 10} \\\\ = \frac{1}{90}\\\\\)
\(k= n^ \to s_n = \frac{1}{(n+6)(n+7)}\\\\\)
calculate the sum:\(S= s_1+s_2+s_3+s_n\\\)
\(S= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{(n+6)(n+7)}\\\\\)
when \(s_n \ \ dt_{n \to 0}\)
\(S= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{(0+6)(0+7)}\\\\= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{6 \times 7}\\\\= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}+\frac{1}{42}\\\\=\frac{45+35+28+60}{2520}\\\\=\frac{168}{2520}\\\\=0.066\)
\(\boxed{\text{In point 2:} \sum ^{\infty}_{k = 1} \frac{1}{(n+6)(n+7)} = 0.066}\)
WILL GIVE BRAINLISES
The coordinate 1 has a weight of 4, and the coordinate 4 has a weight of 2. Find the weighted average.
Answers
Answer: 3
Step-by-step explanation: This is the average between your 2 numbers, 4 and 2.
Answer: its 2
Step-by-step explanation: i guessed and i got it right after this other dud said 3....ITS 2
How do you determine a the coordinates
Answers
Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.
See
The picture please help test
Answers
Answer:
100.3 sqr. units
Step-by-step explanation:
Area of the composite figure = area of parallelogram + area of 2 semicircles
✔️Area of parallelogram = base * height
Base = 10
Height = 5
Area of parallelogram = 10*5 = 50 sqr. units
✔️Area of 2 semicircles = 2(½*πr²)
radius (r) = ½*8 = 4
Area of two semicircles = 2(½*π*4²)
Area of two semicircles = π*16 = 50.3 sqr.
✔️Area of composite figure = 50 + 50.3 = 100.3 sqr. units
My father’s monthly salary is twice what my mother makes in a month. Their combined salary is P27,000
Please help !
Answers
Step-by-step explanation:
mother salary: x
father salary:2x
total salary =27000
therefore 3x=27000
so x=900 (divided by 3)
therefore mother salary = 900
father salary=2multiplied by 900=1800
Answer:
Father's monthly salary is P18,000
Mother's monthly salary is P9,000
Step-by-step explanation:
The problem above can be solved by using "algebraic expressions."
Let x be the father's monthly salary
Let y be mother's monthly salary
Formula: x + y = P27,000
If father's monthly salary is twice than what mother makes, then: x = 2y, which means,
2y (father's salary) + y (mother's salary) = P27,000
First step: 2y + y = P27,000
Second step: 3y = P27,000
Third step: y = \(\frac{P27,000}{3}\)
Fourth step: y = P9,000
So, mother's salary is P9,000. This means we can get father's salary:
2y = 2 × P9,000 = P18,000 (this is the value of x)
So, father's salary is P18,000.
If we combine both of their salaries, the product is P27,000.
x + y = P27,000
P18,000 + P9,000 = P27,000
So, this explains the answer.
Which statement is true? (Please help)
Answers
Answer:
Option (2)
Step-by-step explanation:
From the picture attached,
Angle between HB and FG = 90°
Therefore, HB and FG are perpendicular segments.
HB ⊥ FG
Similarly, angle between HB and AC = 90°
Therefore, both the segments HB and AC will be perpendicular.
HB ⊥ AC
Since FG and AC are both perpendicular to HB.
Therefore, FG║AC.
Option (2) will be the correct option.
Question 2: Benjamin rolls an ordinary six-sided dice and flips a coin. List all the possible outcomes.
Answers
Answer:
Step-by-step explanation:
Hi I need help could someone please help me
Answers
Answer:
it's hypotenuse
Step-by-step explanation:
let's say we are selecting a piece of fruit from a bowl.
Let's say there are 8 peaches and 6 other pieces of fruit.
What is the probability of selecting a peach?
What is the probability of not selecting a peach?
What is the total of these two probabilities, and why?
What is the probability of selecting a plum?
What is the total of these two probabilities, and why?
Answers
Answer:
The probability of selecting a peach is 8/14, or approximately 0.57.
The probability of not selecting a peach is 6/14, or approximately 0.43.
The total of these two probabilities is 1, because any given selection must either be a peach or not a peach.
The probability of selecting a plum cannot be determined because the number of plums in the bowl is not specified.
The sum of the probabilities of selecting a peach and a plum cannot be determined for the same reason as in 4.
Step-by-step explanation:
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!John bought some apples and some oranges. He paid .89 cents for each apple and 1.05 for each orange. Sam also bought some apples and oranges. He paid 1.02 per apple and .84 cents per orange. Write an expression to show how much they paid together for all the apples and oranges
Answers
Answer:
175.07 apples and oranges
Step-by-step explanation:
Answer:
Set the amt of apples as x, and the amt of oranges as y.
Step-by-step explanation:
Apples: x
Oranges: y
John's expression: 0.89x+1.05y
Sam's expression: 1.02x+0.84y
Combine both expressions!
0.89x+1.05y+1.02x+0.84y
Now, combine like terms.
1.91x+1.89y
There's your answer!
Hope it helped! :)
Please help me with this question
Answers
Answer:
y=720.622*(1.039)^t
1057 individuals
Step-by-step explanation:
use desmos to make a table and use the equation
y1~a*b^x1
that will give you an equation and you plug in 10 for x since x is the number of days
The vector ⇀
= ⟨2, 3⟩ is multiplied by the scalar –4. Which statements about the components, magnitude, and direction of the scalar product –4⇀
are true? Select all that apply.
A. The component form of −4⇀
is ⟨–8, –12⟩.
B. The magnitude of −4⇀
is 4 times the magnitude of ⇀
.
C. The direction of −4⇀
is the same as the direction of ⇀
.
D. The vector −4⇀
is in the fourth quadrant.
E. The direction of −4⇀
is 180° greater than the inverse tangent of its components.
Answers
Answer:
Therefore, the correct statements are A, B, and E.
Explanation:
Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.
To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀
.
- The component form of −4⇀
is obtained by multiplying each component of ⇀
by –4. Therefore, −4⇀
= ⟨–8, –12⟩. This means that statement A is true.
- The magnitude of −4⇀
is obtained by multiplying the magnitude of ⇀
by 4. The magnitude of ⇀
is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀
is 4√13. This means that statement B is true.
- The direction of −4⇀
is opposite to the direction of ⇀
because the scalar –4 is negative. This means that statement C is false.
- The vector −4⇀
is in the third quadrant because its components are both negative. This means that statement D is false.
- The direction of −4⇀
is 180° greater than the inverse tangent of its components because it is opposite to ⇀
. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀
is 180° + tan^(-1)(3/2). This means that statement E is true.
Therefore, the correct statements are A, B, and E.
Beatriz has a big hot chocolate. She drank 7 ounces so far, how large is her entire hot chocolate
Answers
Answer:
larger than 7 ounces
Step-by-step explanation:
Answer:
lol
Step-by-step explanation:
lol
S= ut+1/2 at²
U=10 a=-2 t=1/2
Answers
The value of the unknown variable, S, is S = 4 3/4
Determining the value of unknown variable in an equationFrom the question, we are to determine the value of the unknown variable in the given equation
From the given information,
The given equation is
S = ut + 1/2at²
Also,
From the given information
u = 10
a = -2
t = 1/2
Substituting the values of u, a, and t into the given equation
S = ut + 1/2at²
S = (10)(1/2) + 1/2(-2)(1/2)²
Simplify
S = 5 + (-1)(1/4)
S = 5 + (-1/4)
S = 5 - 1/4
S = 4 3/4
Hence, the value of S is 4 3/4
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EHO
Using the following model, answer questions 1 - 2:
You bought a new car for $17,7 in 2005. Its value
has been decreasing by about 13% each year
Cuz Rocha
APPLICATIONS on Modeling Exponential Functions
Answer the following applications. Round your answers to 2 decimal places. Find the solution in the
Answer Bank. When you find a match, place the question number next to the color. Color the picture
accordingly to reveal the mystery picture!
1. Write an exponential model for the value of the car after "x" years
2. What will the car be worth in 2015?
Name:
Using the following model, answer questions 3 - 4:
The population of a small town has been increasing at
1.5% due to an economic boom in the area. The
population was 7,650 in 1995.
Using the following model, answer questions 5 - 6:
Peter earned $2,300 last summer. He deposited the
money in his savings account that earns 2.4% interesi
compounded annually.
Using the following model, answer questions 7 - 8:
You have inherited land that was purchased for
$10000 in 1950. The value of the land incrocisty
approximately 4% per year.
Using the following model, answer questions 9 - 10:
The student enrollment of a high school was 1250 in
2000 and decreased by 1% per year until 2015.
Using the following model, answer questions 11- 12:
You bought a commemorative coin for $150. Each year,
x, the value of the coin increased by 2.5%.
Applications on Modeling Exponential Functions
1. log₂ 128=7
ections: Write
4th
Date:
Rocha
Period:
3. Write an exponential model for the population in this town in a particular year
"X"
4. What is the population in 2017
5. Write an exponential model to describes the amount of money in the bank
after x number of years
6. How much money will Peter have in 8 years?
7. Write an exponential model for the value of the land x years after 1950
7.
What is the approbate value of the land in the year 2010
9. Write an exponential model to show school's student enrollment in terms of
x, the number of years since 2000.
10.
What is the number of students in 2015?
11. Write an exponential model to give the value of the coin after x number of
years.
12. What is the value of the coin at 50 years?
Never Give Up On Math 2017
:I
173
3.
nece
Answers
Answer:
If f(x) = +4, which of the following is the inverse of f(x)?
O A. ƒ˜¹(x) = 2(2+4)
B. ƒ˜¹(x) = 7(2-4)
C. ƒ˜¹(x) = 7(2+4)
D. f¯¹(x) = ²(2-4)
Step-by-step explanation:
Please help me answer this question ASAP!!
Answers
Answer:50 mph= fifty miles per hour
Step-by-step explanation:
that’s the meaning of mph
Answer:
:20.5 miles
Step-by-step explanation:
Answer:
The formula for distance, rate (speed), and time isDistance=rate×timeD=40 (this is the speed he was going for the first customer) × (time)the time is 12/60 because we the speed was in miles per HOUR and the time was in miles per MINUTE. To convert minutes to hours, we divide by 60.D=40× D=48/6D=8 milesSecond trip:D= 50×D=50× (15/60 simplified is 1/4)
D= 12.5 milesANSWER: 8 miles + 12.5 miles = 20.5 miles
A construction company will be penalized each day of delay in construction for bridge. The penalty will be $4000 for the first day and will increase by $10000 for each following day. Based on its budget, the company can afford to pay a maximum of $ 165000 toward penalty. Find the maximum number of days by which the completion of work can be delayed.
Answers
Answer:
The answer toy our problem is, The maximum number of days by which the completion of work can be delayed is 15.
Step-by-step explanation:
We are given that the penalty amount paid by the construction company from the first day as sequence, 4000, 5000, 6000, ‘ and so on ‘. The company can pay 165000 as penalty for this delay at maximum that is
\(S_{n}\) = 165000.
Let us find the amount as arithmetic series as follows:
4000 + 5000 + 6000
The arithmetic series being, first term is \(a_{1}\) = 4000, second term is \(a_{2}\) = 5000.
We would have to find our common difference ‘ d ‘ by subtracting the first term from the second term as shown below:
\(d = a_{2} - a_{1} = 5000 - 4000 = 1000\)
The sum of the arithmetic series with our first term ‘ a ‘ which the common difference being, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) ( ‘ d ‘ being the difference. )
Next we can substitute a = 4000, d = 1000 and \(S_{n}\) = 165000 in “ \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) “ which can be represented as:
Determining, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\)
⇒ 165000 = \(\frac{n}{2}\) [( 2 x 4000 ) + ( n - 1 ) 1000 ]
⇒ 2 x 165000 = n(8000 + 1000n - 1000 )
⇒ 330000 = n(7000 + 1000n)
⇒ 330000 = 7000n + \(1000n^2\)
⇒ \(1000n^2\) + 7000n - 330000 = 0
⇒ \(1000n^2\) ( \(n^2\) + 7n - 330 ) = 0
⇒ \(n^2\) + 7n - 330 = 0
⇒ \(n^2\) + 22n - 15n - 330 = 0
⇒ n( n + 22 ) - 15 ( n + 22 ) = 0
⇒ ( n + 22 )( n - 15 ) = 0
⇒ n = -22, n = 15
We need to ‘ forget ‘ the negative value of ‘ n ‘ which will represent number of days delayed, therefore, we get n=15.
Thus the answer to your problem is, The maximum number of days by which the completion of work can be delayed is 15.
Follow these steps to derive the law of cosines.
1. The relationship between the side lengths in AABD is
c²=²+h² by the
Answers
Note that the relationship between the side lengths in ΔABD is the Pythagorean Theorem.
What is the Pythagorean theorem?Pythagorean theorem states that In a right triangle, the square of the hypotenuse (c) equals the sum of the squares of the other two sides (a² + b²).
It is to be noted that the law of cosines in trigonometry connects the lengths of a triangle's sides to the cosine of one of its angles.
According to the Law of cosines c² = a² + b² - 2ab*cos(C), where C is the angle opposite to the side c in a triangle.
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Full Question:
See the attached image.
To order a pizza, you must choose a type of crust, a type of sauce, and also a size. How could you determine the number of outcomes?
Answers
# of different crust choices x # of different sauces x # of different sizes = the # of outcomes u'll end up w :)
Answer:abe
Step-by-step explanation:
After watching baking shows on T.V., Angie signs up for a cake-decorating class. To practice her new skills, she decorates a batch of cupcakes with sugar flowers. Angie puts 4 sugar flowers on each cupcake. In all, Angie puts 32 sugar flowers on the cupcakes.
Which equation can you use to find the number of cupcakes c Angie decorates?
Solve this equation for c to find the number of cupcakes Angie decorates.
Answers
Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.
To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.
4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.
To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8
Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8
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When 58,511 is divided by 21, the quotient is 2,786 R ___.
Numerical Answers Expected!
Answer for Blank
Answers
If you take the answer, 2786 and multiple by 21
You get 58,506
Which if you subtract from 58,511 you would get 5
Which is r
What is the equation of the graph?
Answers
Absolute value graphs appear triangular, like the given graph in the picture.
The parent function of an absolute value function is \(y=|x|\). In this graph, the vertex (the point where the graph changes directions) is at (0,0).
We can translate this vertex is by adding certain transformations to the graph:
\(y=|x-h|+k\) where (h,k) is the vertex
Solving the QuestionIn the given graph, the only transformation we need to apply is a translation. How do we know this?
The slopes of both sides have absolute values of 1 (no vertical or horizontal stretch)The vertex of this graph is (2,0). Plug this into the equation \(y=|x-h|+k\):
\(y=|x-2|+0\\y=|x-2|\)
Answer\(y=|x-2|\)
The equation of the graph is y = l x - 2 l.
From the graph:
Absolute value graphs appear triangular, like the given graph in the picture.
The parent function of an absolute value function is y = lxl. In this graph, the vertex (the point where the graph changes directions) is at (0,0).
We can translate this vertex is by adding certain transformations to the graph y=lx-hl+k
where (h,k) is the vertex
In the given graph, the only transformation we need to apply is a translation.
The slopes of both sides have absolute values of 1 (no vertical or horizontal stretch)
The vertex of this graph is (2,0). Plug this into the equation y = lx-hl+k
y = l x - 2 l + 0
y = l x - 2 l.
Therefore the equation of the graph is y = l x - 2 l.
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Are all trapezoids also quadrilaterals? 1)
Answers
Answer:
yes they have 4 sides
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
What is the volume of this figure?
A, 2520 in³
B. 1638 in³
C. 1323 in³
D. 935 in³
Answers
Answer:
the answer is 1323. i took the quiz
Step-by-step explanation:
Answer:
1323 in³ for K12
What is the equation of the line perpendicular to the line shown in the diagram that passes through the point (- 3, - 5) ?
Answers
Answer:
A X + 3y = 18
Step-by-step explanation:
A six-pack of juice sells for $2.28. What does 1 can cost?
Answers
Answer:$0.38
Step-by-step explanation:
Answer:
$0.38 or 38¢
Step-by-step explanation:
$2.28÷6 cans=
$0.38 or 38¢
A can costs $0.38 or 38¢
is 30% of 90 greater than less than or equal to 35% of 80
Answers
Answer: less than 35% of 80
Step-by-step explanation:
30% of 90 is 27
35% of 80 is 28
Jessie has 5 times as many dimes as Kate. Kate has 15 more dimes than Alice.
Alice has 22 dimes. How many dimes does Jessie have?
Answers
Answer:
Step-by-step explanation:
5(22 + 15) = Jessie
5(37) = Jessie
185= Jessie
Have a good day!
Brinks uses 2 gallons of gas per lawn mowed. He mows 5 lawns per day for 10 days. If he had to pay $249 for gas during those 10 days, how much would he pay for 1 gallon of gas?
Answers
2 gallons per lawn
5 lawns a day = 10 gallons
10 days = 100 gallons
100 * price of 1 gallon = 249 $
price of 1 gallon = 2.49$