Answer:
C.
Step-by-step explanation:
Measure of arcURN = 270°
In radians:
270° = 270π/180
270° = 3π/2
Now
Area of sector = 1/2r²∅
= 1/2(10)²(3π/2)
= 50(3π/2)
= 75π
Solve x^2+8x+22=0 by completing the square.
Answer: x = √-6 - 4
Step-by-step explanation:
x^2+8x+22=0
(x+4)^2 - 16 + 22 = 0
(x+4)^2 + 6 = 0
(x+4)^2 = -6
√(x+4)^2 = √-6
x = √-6 - 4
√6 = 2.449
Which graph represents y=3vx
Answer:
is it just that one graph
Step-by-step explanation:
Answer:hmm
Step-by-step explanation:
Jane bought 6 boxes of beads. She used 14 of it to make face mask holders and also gave 12 of the boxes to her sister. How many boxes of beads were left?
Jane has 6 - 14 - 12 = -20 boxes of beads left.
Jane initially had 6 boxes of beads.
She used 14 of those boxes to make face mask holders and gave 12 boxes to her sister.
To find out how many boxes of beads she has left, we need to subtract the boxes used and given away from the initial number.
First, let's calculate the total number of boxes used and given away:
Total boxes used and given away = Boxes used for face mask holders + Boxes given to sister
Total boxes used and given away = 14 + 12
Total boxes used and given away = 26
Next, we can subtract the total boxes used and given away from the initial number of boxes Jane had:
Boxes left = Initial number of boxes - Total boxes used and given away
Boxes left = 6 - 26
Boxes left = -20
The result is -20, which implies that Jane has a deficit of 20 boxes of beads.
This means she doesn't have any boxes of beads left; she has a shortage of 20 boxes based on the activities she performed.
It's important to note that having a negative value indicates that Jane doesn't have enough boxes to fulfill her activities.
If the result were positive, it would represent the number of boxes remaining.
However, in this case, Jane has used and given away more boxes than she initially had, resulting in a negative value.
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Mae has 36/4 inches of red yard to use for hair on dolls she is making. She uses 9/2 ounces for each doll. How many dolls can have red hair
Answer: 2 dolls
Step-by-step explanation: got it right
what are two ratios that are equivalent to 12:13?
Answer:
24:26 and 36:39 are two ratios that are equivalent to 12:13.
Step-by-step explanation:
Which method could be used to prove they are similar?
1.5
3
4.5
Jy
Answer:
Prove what is similar?????
Mr. Lim and Mr. Tay had $31 090 at first.Mr. Lim donated $2390 of his money and Mr. Tay spent half of his money on a holiday trip. As a result, Mr. Lim had 3 times as much money as Mr. Tay. How much money did Mr. Lim have at first?
Answer:
Mr.Lim had 19610 dollars, and Mr.Tay had 11480 dollars at first.
Step-by-step explanation:
Mr. Lim had 19610 dollars at first.
To find how much did Mr. Lim had at first.Given:
Mr. Lim and Mr. Tay had $31 090 at first.
Mr. Lim donated $2390 of his money and
Mr. Tay spent half of his money on a holiday trip.
Mr. Lim had 3 times as much money as Mr. Tay.
Step 1:
Let Mr. Tay had x
Let Mr. Lim had y
x + y=31090………..(1)
Step 2:
Mr. Tay spent on holiday = x + 2390/2
Money left with Mr. Lim = y - 2390
Given,
y - 2390 = 3(x + 2390/2) .............(2)
Step 3:
Equating equation (1) and (2)
we get,
x = 11480
y = 19610
Hence, Mr. Lim has $19610, and Mr. Tay had $11480 dollars at first.
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Determine whether 548 is greater than or less than 373. Then write the expression showing this using < or >.
Answer:
548 > 373
Step-by-step explanation:
548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.
The ">" symbol is used to represent "greater than" in mathematical comparisons.
Hope this helps!
What's the answer to this? I thought it was -138 apparently it's not? :(
Two methods to measure one's heart rate are:
A. Palpitation and monitor
B. Monitor and EKG
C. Palpitation and pulse rate
only answer if you know! no spams :)
Answer:
The correct answer is C.
Step-by-step explanation:
There are 8 slots on Spinner B.
3 of those slots have squares.
Hence out of all the slots, 3/8 of them have squares.
Hope this helps:) Goodluck!
Answer:
Choice C true
Step-by-step explanation:
The Probability is found by good/total
Spinner A
P(square) = 1/4 - choice A not true
Spinner A
P(circle) = 1/4
Spinner B
P(circle) = 3/8
1/4 does not equal 3/8 Choice B not true
Spinner B
P(square) = 3/8 = Choice C true
In calculus, it can be shown that
e^x=infintesigmak=0 x^k/k!
We can approximate the value of for any x using the following sum e^x=infintesigmak=0 x^k/k!
a) Approximate e^2.2 n=3
Answer: \(7.39466666\)
Step-by-step explanation:
Setting \(x=2.2\) and \(n=3\),
\(e^{2.2} \approx \sum^{3}_{k=0} \frac{2.2^{k}}{k!}=\frac{2.2^0}{0!}+\frac{2.2^1}{1!}+\frac{2.2^2}{2!}+\frac{2.2^3}{3!} \approx 7.39466666\)
Answer:
7.39466667 (8 d.p.)
Step-by-step explanation:
We can approximate the value of eˣ for any x using the following sum formula:
\(\boxed{e^{x} \approx \displaystyle \sum^n_{k=0}\dfrac{x^k}{k!}}\)
To approximate \(e^{2.2}\) with n = 3, substitute x = 2.2 and n = 3 into the given sum formula:
\(e^{2.2} \approx \displaystyle \sum^3_{k=0}\dfrac{2.2^k}{k!}\)
To calculate the sum, substitute k with each value from 0 to 3 and add the results together:
\(\begin{aligned}e^{2.2} &\approx \displaystyle \sum^3_{k=0}\dfrac{2.2^k}{k!}\\\\&= \dfrac{2.2^0}{0!}+\dfrac{2.2^1}{1!}+\dfrac{2.2^2}{2!}+\dfrac{2.2^3}{3!}\\\\&= \dfrac{1}{1}+\dfrac{2.2}{1}+\dfrac{4.84}{2}+\dfrac{10.648}{6}\\\\&= 1+2.2+2.42+1.774666666...\\\\&=7.39466667\; \sf (8\;d.p.)\end{aligned}\)
Therefore, the approximate value of \(e^{2.2}\) is:
\(\large \textsf{$e^{2.2}$}=\boxed{7.39466667}\; \sf (8\;d.p.)}\)
Note: To obtain a more accurate approximate value, increase the value of n.
A graph which is undefined is?
Answer
is a vertical line, as shown above. The slope of the line is undefined.
Rewrite the function by completing the square.
h (x)=x^2+3x−18
Answer: (x+6)(x-3)
Step-by-step explanation:
y=x^2+3x-18
(x+6)(x-3 )
Order the numbers from least to greatest. = 7% = 0.01 = 2 20 = 0.11
Answer:
Here's your answer
Step-by-step explanation:
Write a fraction that is equivalent to 3/5 that has a denominator of 20.
5
15
20
20
12
12
20
3
20
Answer:
12/20
Step-by-step explanation:
\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)
The answer is:
12/20In-depth-explanation:
The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.
We need to multiply both the numerator and the denominator by 4, so we do this:
\(\sf{\dfrac{3\times4}{5\times4}}\)
\(\sf{\dfrac{12}{20}}\)
Hence, the answer is 12/20.Consider the figure below and answer the questions that follows. Please help me prepare for my finals!!!!
Using the distance formula, the length of segment PQ is:
C. √68 units
How to Find the Length of a Segment Using the Distance Formula?The distance formula is given as:
d = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).
Segment PQ has the following endpoints:
P(-2, 3)
Q(6, 1)
To find the length of segment PQ using the distance formula, we can apply the formula, where:
\((x_1, y_1)\)are the coordinates of point P
\((x_2, y_2)\) are the coordinates of point Q.
Given:
P(-2, 3) = \((x_1, y_1)\)
Q(6, 1) = \((x_2, y_2)\)
Let's substitute the values into the formula:
PQ = √[(6 - (-2))² + (1 - 3)²]
PQ = √[(8)² + (-2)²)
PQ = √(64 + 4)
length of segment PQ = √68 units
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Given z, find |z|.
z=-2-6i
\( \Large{\boxed{\sf | \sf z| = \sf \sqrt{40} = 2\sqrt{10} }} \)
\( \\ \)
Explanation:We are given a complex number in algebraic form, and we would like to find its modulus, |z|.
\( \\ \\ \)
Modulus of a complex number\( \\ \\ \)
Let's recall that a complex number in algebraic form is written as \( \sf z = a + ib \) , where a is its real part and b is its imaginary part.
\( \\ \)
The modulus of said complex number is calculated as follows:
\( \sf | \sf z| = \sqrt{a^2 + b^2} \)
\( \\ \)
\( \hrulefill \)
\( \\ \)
Let's identify our values:
\( \sf z = -2 - 6i \Longleftrightarrow z = \underbrace{\sf -2}_{\sf a} + (\underbrace{\sf -6}_{\sf b})i \)
\( \\ \)
Now, substitute these values into our formula:
\( \sf | \sf z | = \sqrt{(-2)^2 + (-6)^2} = \sqrt{4 + 36} = \boxed{\sf \sqrt{40}} \)
\( \\ \)
While this may be optional, the result can be simplified by using the following property:
\(\green{\begin{gathered}\begin{gathered} \\ \boxed { \begin{array}{c c} \\ \blue{ \star \: \sf{\boxed{ \sf Product \: rule \: of \: square \: roots\text{:}}}} \\ \\ \sf{ \diamond \: \sqrt{ab} = \sqrt{a} \times \sqrt{b} } \\ \end{array}}\\\end{gathered} \end{gathered}}\)
\( \\ \)
\( \sf \sqrt{40} = \sqrt{4 \cdot 10} = \sqrt{4} \cdot \sqrt{10} = \boxed{\boxed{\sf 2\sqrt{10}}} \)
\( \\ \)
\( \hrulefill \)
\( \\ \)
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Airlines A and B each operate one flight per day between the cities of Hartford and Chicago; the daily passenger volume between the two cities is 350. Because the quality of service and departure times for both airlines are similar, we assume that passengersselect the flights with equal probability and independently of one another.
Required:
a. Let X denote the number of passengers on the flight operated by airline A. Describe the exact distribution of X; name it and identify the parameters.
b. If the plane for airline A carries 210 seats there is a positive probability that more than 210 passengers will turn up, in which case not all passengers can be accommodated. Estimate the probability of "overbooking"
c. Denote by n the minimum number of seats the aircraft should contain if it is desired that the probability of exceeding the seating capacity be less than 0.01. Find n
Answer:
X ~ (350, 0.5)
0.00009
Step-by-step explanation:
Given that:
Daily passenger volume = 350
Since both airlines A and B have equal probability ;
p = 0.5
n = 350
X ~ (n, p)
X ~ (350, 0.5)
B.)
Mean, m= np = 350 * 0.5 = 175
Standard deviation, s = sqrt(np(1-p)) = sqrt(350*0.5*0.5) = sqrt(87.5)
Obtaining standardized score, Z
Z = (x - m) / s
x = 210
Z = (210 - 175) / sqrt(87.5)
Z = 35 / sqrt(87.5)
Z = 3.74
P(Z > 3.74) = 0.00009 (Z probability calculator)
Abi takes out a loan that gathers compound interest. The table below shows the value of the loan over time. a) What is the rate of interest per annum? Give your answer as a percentage to 1 d.p. b) Work out the value of the loan 10 years after it starts. Give your answer in pounds (£) to the nearest 1p. Start After 1 year After 2 years £2500.00 £2645.00 £2798.41
Answer:
25000
Step-by-step explanation:
A dairy farmer wants to mix 35% protein supplement in a standard 10% protein ration to make 1300 pounds of high grades 25% protein ration how many pounds of each should he use
Answer:
Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.
Step-by-step explanation:
The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.
The equation from the fourth column is:
0.35x + 0.10(1300 - x) = 0.25(1300)
Solving for x, we get:
x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600
Identify the axis of symmetry of the parabola.
What would be the right answer?
Answer:
x=-3, That is the x value of the vertex, and it is a vertical parabola.
A bag contains 100 balls numbered 1 to 100. One ball is drawn from the bag. What is the probability that the number on the ball selected will be odd or greater than 80?
Answer:
80/100
Step-by-step explanation:
i know that .....
Help Please!! i will give 25 points and Brainliest answer!!
Answer:
L x W (original)
(L+3) x w (one dimension changed)
(L+3)(W+3) (both dimensions changed)
Step-by-step explanation:
Rectangle when one dimension increase 3 units, area will change from original (L and w are its two sides)
L x W to (L+3) x w
If both dimension increase 3 units, the area will become
(L+3)(W+3)
select all of the statements that are true for the given parabola?check all that apply(everything in picture)
The x-intercepts are (-2, 0) and (2, 0), the minimum is at (0, -3), and the line of symmetry is x = 0 if the equation of the parabola is y = x²—4
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
Here the graph or equation is not given:
So we are assuming the equation for the parabola is:
y = x²—4
If we plot the graph of the parabola, we can say:
The x-intercepts are (-2, 0) and (2, 0) The minimum is at (0, -3)The line of symmetry is x = 0Thus, the x-intercepts are (-2, 0) and (2, 0), the minimum is at (0, -3), and the line of symmetry is x = 0 if the equation of the parabola is y = x²—4
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An ion has a charge of +7. How far is it from being neutral?
A. -0.07
B. -7
C. 7
D. 70
E. 0.7
The table represents a linear function. What is the slope of the function?
Slope is the change in y over the change in x.
Using the first and last value, the change in x would be the change from -4 to 4 which is 8
The change y y would be the change from -16 to 24 which is 40
The slope would be 40/8 which reduces to 5
The answer is 5
How many miles does he run in one year
Answer Key:
1. Since the question says Mr. Smith runs 2.7 miles every day of the week, you will need to multiply it with 365, the days of the year. The total answer you would get D. 985.5 miles.
| I just want to help you with #2 anyway
Solve 3 3/4 divided by 2/5
a.9 1/4
b.3 5/9
c.9 3/8
d.3 6/20
Step-by-step explanation:
3 \(\frac{3}{4}\) ÷ \(\frac{2}{5}\) Original problem
When dividing fractions, you want to turn the mixed numbers into improper fractions so....
\(\frac{15}{4}\) ÷ \(\frac{2}{5}\)
Now you want to flip the second fraction ( so \(\frac{2}{5}\) becomes \(\frac{5}{2}\) ) and then you want to turn the division sign into a multiplication sign
\(\frac{15}{4}\) × \(\frac{5}{2}\)
Now you multiply the numerators and multiply the denominators
\(\frac{15*5}{2*4}\) = \(\frac{75}{8}\)
Turn the improper fraction to a mixed number
75 divided by 8 is 9 with a remainder of 3 so your answer would be c. 9\(\frac{3}{8}\)
The answer is c
I hope this helps!!!
Question 5 (2 points)
Bryce is exercising on a stationary bike. He burns 144 calories in 15 min. What's the
number of calories Bryce burns per minute?
8.9 calories/min
9.3 calories/min
9.6 calories/min
9,8 calories/min
Answer:
9.6 calories/min
Step-by-step explanation:
Here Bryce burns 144 calories in 15 mins
Therefore, For each min value you need to:- Divide the Total Number of calories by Total Time Taken
i.e. 144 calories / 15 min = 9.6 calories/min
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