Answer:
Step-by-step explanation:
We know the line measurement total is 180
so 180 - 157 = A
A=23°
Answer:
A = 23
PLZ MARK AS BRAINLIEST
Step-by-step explanation:
180 - 157 = 23
What is the zero of the function?
1 cause the zero is where the line crosses at the x axis
a type of medicine is given in a 100 miligram dosage. the medicine comes in a 12 gram bottle. how many 100 milligram doses are in a bottle?
The medicine bottle has 120 doses of 100 miligram each.
As per the known fact, 1000 miligram is 1 gram. So, the amount of medicine in the bottle in milligrams = 12×1000
Performing multiplication on Right Hand Side of the equation
Amount of medicine in bottle = 12000 milligrams.
Now, number of dose of 100 miligram medicine = 1
Amount of dose of 12000 miligram medicine = (1/100)×12000
Performing division and multiplication on Right Hand Side of the equation
Amount of doses in 12000 miligram medicine = 120
Thus, there are 120 doses in a medicine.
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The history museum is hosting a special exhibition on history of flight. The admission ticket for each adult costs $7 and the admission
ticket for each child costs $2. On the opening day of the exhibition, 40 tickets were sold for a total of $180. How many adults visited the
special exhibition?
Answer:
Use simultaneous equation for this problem
y= number of adults
x = number of children
3y + 2x = 160
y + x = 60
then we double the second equation
3y + 2x = 160
2y + 2x = 120
we cancel x by elimination
3y - 2y = 160 - 120
y = 40
Step-by-step explanation:
hope this helps
6(2x - 3) – 2(2x + 1)
3(4+2)=30
pls help me
Answer:
Isn't it 18?
Step-by-step explanation:
Because you need to add 4 and 2 then multiply it with 3?
Five numbers that have 11, 2, and 3 as prime factors.
Answer: 66, 132, 264, 528, 1056
Step-by-step explanation:
For the numbers, just start with \(2\times3\times11 = 66\) and multiply by 2 over and over till you get 5 numbers:
66, 132, 264, 528, 1056.
the difference between savings and and fixed deposit account
Answer:
Fixed Deposits have a fixed lock-in period, which limits the unnecessary withdrawal of your money until maturity. A savings account, on the other hand, enables you to withdraw any amount at any time, which proves detrimental to your goal of wealth appreciation.
:)
The following table contains information from a chemistry experiment in which the concentration of a product was measured at one minute intervals. Plot this data. Suppose it is known that this chemical reaction should follow the law: C = a-be-02t Change the variables such that the law becomes a linear function. Then use buit-in polyfit function in MATLAB to find the coefficients of the linear function. Find a and b and then plot the graph of a -beon the interval (0,10] (as a solid curve), along with the original data points (using '.'). What will be the eventual concentration? 2 3 C 3.033 3.306 3.672 3.929 4.123 4.282 4.399 4.527 4.622 Answer: a = 5.025 and b = 2.0266 t = 0:8; C = [3.033 3.306 3.672 3.929 4.123 4.282 4.399 4.527 4.622;
Using the polyfit function with the given linear function:
a = 5.025 and b = 2.0266.
The eventual concentration C is 4.4695.
To plot the data from the given table, we can first use the built-in MATLAB polyfit function to find the coefficients of the linear function. This will allow us to change the variables such that the law C = a - be-0.2t becomes a linear function.
Using the polyfit function with the given data, we can find that a = 5.025 and b = 2.0266.
Now, we can plot the graph of a - be-02t on the interval (0, 10] (as a solid curve), along with the original data points (using '.'). To do so, we can use the following MATLAB code:
t = 0:8;
C = [3.033 3.306 3.672 3.929 4.123 4.282 4.399 4.527 4.622];
plot(t,a-b*exp(-0.2*t),'b-',t,C,'.');
By doing so, we can plot the graph of a - be-0.2t, along with the original data points. The eventual concentration of the chemical reaction, based on the linear function, is C = 5.025 - 2.0266e-02*10 = 4.4695.
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a ______ is a descriptiion of the approach that is used to obtain samples from a population prior to an data collection activity.
A.
population frame
B.
sampling weight
C.
sampling plan
D.
probability interval
The correct answer is option C. A sampling plan refers to a detailed strategy for obtaining a sample from a population for the purpose of data collection.
It describes the precise procedures needed to choose the sample, determine the members of the sample, and gather the data.
The sampling strategy should take into account the type of sampling design, sample size, sampling process, and the methods to be employed for data collecting.
The strategy for implementing sampling should be outlined in the plan, along with instructions on how to make sure the sample is representative of the population, how to prevent bias in the sampling process, and how to make sure the data gathered is of high quality.
A good sampling plan should provide a clear and consistent method for gathering data and be founded on basic statistical concepts.
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Anna does sit-ups to get ready for her first triathlon. When she starts, she does a sit-up every 222 seconds. But, as she gets tired, each sit-up takes longer and longer to do. Is the number of sit-ups Anna does proportional to the time she spends doing them?
Answer:
No
Step-by-step explanation:
When Anna starts, she does a sit-up every 22 seconds. As she gets tired, each sit-up takes longer and longer to do. It would mean that the number of sit ups are not proportional to the time. If any thing is proportional, the rate at which the quantity increases or decreases should be constant. But in this the rate is not constant. Also, when she gets tired, sit-up takes longer time
Answer:
no
Step-by-step explanation:
did on khan
the cylindrical tank of a water tower has a radius of 3 feet, and a height of 10 feet. the tank is half-filled with water. what is the volume?
Answer:
141.37 ft³ (rounded)Step-by-step explanation:
Volume of cylinder:
V = πr²hSubstitute values, consider half-height:
V = π*3²*(10/2) = 141.37 ft³ (rounded)Answer:
141.37 ft³ (rounded)
Step-by-step explanation:
Please help!! I don't know what I'm doing
answer:
1/5^2
=
1/25
step-by-step
1) 5^5/5^7=
5*5*5*5*5
-------------------
5*5*5*5*5*5*5
2) aka
1/5^2= 1/25 (.04)
What kind of transformation converts the graph of f(x)=
–
9(x+6)2–3 into the graph of g(x)=
–
9(x–4)2–3?
The kind of transformation which converts the graph of f(x) into the graph of g(x) is vertical shrink .
What is transformation in graph?
A graph transformation is a procedure that modifies an existing graph or graphed equation to create different version of the following graph.
It is given that the functions are :
f(x) = -9(x+6)2 - 3
g(x) = -9(x-4)2 - 3
We know that if we perform transformation that meant the graph of f(x) is transformed into the graph of g(x).
i.e.,
f(x) = -9(x+6)2 - 3
f(x) = -18(x+6) - 3
f(x) = -18x - 128 - 3
f(x) = -18x - 72 - 56 - 3
f(x) = -9(x-4)2 - 3 - 56
f(x) = g(x) - 56
or g(x) = f(x) + (-56)
So , as we are adding f(x), this suggests that the transformation is one of the vertical shrink type.
Therefore, the kind of transformation which converts the graph of f(x) into the graph of g(x) is vertical shrink .
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Heather purchased a sapphire bracelet during the Jewelry Emporium's Semi-Annual Clearance Sale. If Heather paid $149.50 for the bracelet and the original price is $230.00, how much of a discount did she receive?
A.
35%
B.
30%
C.
45%
D.
65%
She received a 35% discount (A).
An event A will occur with probability 0.4. An event B will occur with probability 0.7. The probability that both A and B will occur is 0.2. The conditional probability of A. given B, is O 0.17. O 0.20. O 0.29. O unable to be determined from the information given.
Rounding this value, we get P(A|B) ≈ 0.29. Thus, the correct answer is 0.29.
To answer this question, we need to find the conditional probability of A given B, which is represented as P(A|B). We are given the probabilities of event A and event B occurring, as well as the probability of both events occurring. We can use this information to calculate P(A|B) using the formula:
\(P(A|B) = P(A ∩ B) / P(B)\)
Here, P(A ∩ B) represents the probability of both events A and B occurring, and P(B) represents the probability of event B occurring. We are given the following information:
- P(A) = 0.4
- P(B) = 0.7
- P(A ∩ B) = 0.2
Now we can plug these values into the formula to calculate P(A|B):
\(P(A|B) = 0.2 / 0.7 = 0.2857\)
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A private shipping company will accept a box of domestic shipment only if the sum of its length and girth (distance around) does not exceed 90 in. What dimension will give a box with a square end the largest possible volume?
The dimension the a box with a square end the largest possible volume is 10 ×10 × 23.3
How to determine the volumeFirst, we will need to complete the question.
Let us assume that its dimensions are h by h by w and its girth is 2h + 2w.
Volume = h²w
Where h is the length
w is the girth
From the information given, we have;
Length + girth = 90
w+(2h+2w) = 90
2h + 3w = 90
Make 'w' the subject
w = 90- 2h/3
w = 30 - 2h/3
Substitute the values
Volume = h²(30 - 2h/3)
expand the bracket
Volume = 30h² - 2h³/3
Find the differential value
Volume = 60h - 6h²
h = 10
Substitute the values
w = 30 - 2h/3
w = 30 - 2(10)/3
w = 30 - 20/3
w = 23.3 in
The dimensions are 10 ×10 × 23.3
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Solve by using the substitution method. Express numbers in exact simplified form. x-Sy=16 y 2x 1 The solution set is:
the solution to the system of equations is x = 1/2 and y = -31/2. The solution set is {(1/2, -31/2)}.
ToTo solve the system of equations using the substitution method, we can solve one equation for a variable and substitute it into the other equation. Let's solve the first equation for x:
x - Sy = 16
x = 16 + Sy
Now substitute this expression for x in the second equation:
2(16 + Sy) - 1 = 0
32 + 2Sy - 1 = 0
2Sy + 31 = 0
2Sy = -31
Sy = -31/2
Now substitute this value of Sy back into the first equation:
x - (-31/2) = 16
x + 31/2 = 16
x = 16 - 31/2
x = 1/2
Therefore, the solution to the system of equations is x = 1/2 and y = -31/2. The solution set is {(1/2, -31/2)}.
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You have a standard deck of cards. What is the probability of drawing a heart or a face card?
Answer:
3/4
Step-by-step explanation:
What must you know to develop a binomial probability distribution?
(a) probability of success
(b) number of trials
(c) probability of success and the number of successes
(d) probability of success and the number of trials
To develop a binomial probability distribution, you need to know the probability of success and the number of trials.
A binomial probability distribution is used to model the probability of obtaining a specific number of successes in a fixed number of independent Bernoulli trials. In order to develop this distribution, two essential pieces of information are required: the probability of success and the number of trials.
Firstly, you need to know the probability of success, which represents the likelihood of a specific event or outcome occurring in each individual trial. This probability is denoted by "p" and must be a value between 0 and 1.
Secondly, you need to know the number of trials, which refers to the total number of independent experiments or events being conducted. This value is denoted by "n" and must be a positive integer.
With these two pieces of information, you can calculate the probability of obtaining a specific number of successes, ranging from 0 to n, using the binomial probability formula. This formula takes into account the probability of success, the number of trials, and the desired number of successes.
Overall, the probability of success and the number of trials are the key elements needed to develop a binomial probability distribution, enabling you to calculate the probabilities of various outcomes in a given set of independent trials.
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4-2 over -5-2 please help me
Step-by-step explanation:
I'm assuming you mean:
(4 - 2) / (-5 - 2)
First, simplify the numerator:
4 - 2 = 2
Next, simplify the denominator:
-5 - 2 = -7
Now, substitute the simplified numerator and denominator into the expression:
(4 - 2) / (-5 - 2) = 2 / (-7)
This fraction can be simplified by dividing numerator and denominator by their greatest common factor, which is 1 in this case:
2 / (-7) = -2/7
Therefore, (4 - 2) / (-5 - 2) = -2/7.
what is sample variance formula
The sample variance formula is: (sum of squared differences between each data point and the sample mean) divided by (sample size minus one).
The sample variance formula is a statistical calculation used to measure the variability of a set of data values in a sample. Variance is a measure of how spread out a set of data is, and it provides a measure of the average deviation of the individual data points from the sample mean.
The sample variance formula is calculated by taking the sum of the squared differences between each data point and the sample mean, and dividing that value by the sample size minus one. The resulting value provides a measure of how much the data points vary from the mean of the sample, and is an important tool for assessing the reliability and validity of statistical results.
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Jack takes out a student loan for $6,000 at a simple interest rate of 11.3% per year. How much total
interest will Jack owe at the end of 6 years? Assume he does not make any payments during that time?
Answer:
$10,068
Step-by-step explanation:
Step-by-step explanation:
6000
100+11.3÷100=1.113
6000x1.113(^6)
=
11405.71
or 11405.70
ANSWER FAST !!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
If this is the way I was taught and how I took the question. 38/57 or 2/3
Step-by-step explanation:
19 * 2 = 38/
19* 3 = 57
38 ÷19 = 2/
57 ÷19 =3
so 2/3
I need answers asp for all the problems
Answer:
-17
Step-by-step explanation:
Step By step
A Group of students is tracking a friend, John, who is riding a Ferris wheel. They know that John reaches the Maximum height of 11 m at 10 seconds and then reaches the minimum height of 1 m at 55 seconds.
What is the period of the function and what does it represent in this situation?
The period represents how long it takes go from one max to the next max (ie peak to peak). It also represents going from min to min.
======================================================
Explanation:
It reaches the max at 10 seconds, and then it reaches the min at 55 seconds. This is a timespan of 55-10 = 45 seconds. This is exactly half the period. It doubles to 2*45 = 90 seconds. This is the time period between any two points in time when you're at the max height (from one max to the next adjacent max).
So you're at the max height at 10 seconds, then min at 55 seconds, then the max again at 100 seconds. Note how 100-10 = 90.
The period of any trig function is basically telling us when the function or cycle repeats itself. Once we reach the peak again, the ride repeats itself from before.
-----------
Notes:
90 seconds = 1 minute, 30 seconds = 1.5 minutesThe actual heights listed (11 m and 1 m for the max and min respectively) do not play a role in determining the period. So the heights can be anything we want, and the period will stay at 90 seconds.Brianna's parents built a swimming pool in the backyard. Brianna says that the distance around the pool is 120 feet.
40 Ft
2011
1. Is she correct? Explain why or why not. (Your explanation needs to include the following: If she is correct, show what she
did to find the distance around the pool. If she is not correct, find the correct distance, showing all work.)
2. Explain (using words this time) how Brianna would determine the distance around the pool so that her parents would
know how many feet of stone to buy for the edging around the pool.
No, Brianna is not correct.
The distance around the pool is 131.4 ft
What is perimeter of semicircle?The perimeter of a semicircle is the sum of half of the circumference of the circle and its diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius, and, 2r=d is diameter.
P=(πr + 2r)
here, we have,
1) Semi circle with a diameter equal to the side opposite it, 20 ft.
Find the length of half the circle:
Circumference of semi-circle = (1/2)(πd)
Where:
π = 3.14
d = 20 ft.
Circumference of semi-circle = (1/2)(3.14)(20 ft) = 31.4 ft.
2) Vertical lengths from the endpoint of semi-circle to the endpoints of horizontal lengths, 40 ft each ⇒ 2 × 40 ft. = 80 ft.
3.) Horizontal length at 20 ft.
Add the semi-circle, vertical, and horizontal lengths:
Distance around the pool = 31.4 ft + 80 ft. + 20 ft.
Distance around the pool = 131.4 ft.
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a) If 8 workers can complete a piece of work in 18 days, how many workers are required to complete the work in 12 days? b) 20 labourers comnloto the . 1 T
Answer:
12 workers are required to complete the work in 12 days
what is 21000 take away two thirds
Answer:
7000
Step-by-step explanation:
21000/0.667
=14000
21000-14000
=7000
find the number of terms and the degree of this polynomial.
\( - 9 {r}^{9} \)
Step-by-step explanation:
there is 1 term
9th degree or degree =9
Question 4 of 10
The standard form of the equation of a parabola is y=x²-6x+14.
What is the vertex form of the equation?
OA y=(x-3)2 +15
OB. y = (x+3)(x-3) +5
O C. y=(x-3)2 +23
OD. y=(x-3)² +5
The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.
To convert the given equation from standard form to vertex form, we need to complete the square.
The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.
Given equation: y = x² - 6x + 14
Move the constant term to the right side:
y - 14 = x² - 6x
Complete the square by adding and subtracting the square of half the coefficient of x:
y - 14 + 9 = x² - 6x + 9 - 9
Group the terms and factor the quadratic:
(y - 5) = (x² - 6x + 9) - 9
Rewrite the quadratic as a perfect square:
(y - 5) = (x - 3)² - 9
Simplify the equation:
y - 5 = (x - 3)² - 9
Move the constant term to the right side:
y = (x - 3)² - 9 + 5
Combine the constants:
y = (x - 3)² - 4
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