Answer:
x=8
Step-by-step explanation:
Round 826,783 to the nearest ten thousand.
O A. 826,000
w
OB. 827,000
C. 820,000
O D. 829,000
O E. 830,000
Help please I’m dumb DOING A TEST HELPPPPP
Answer:
Step-by-step explanation:
826,783
82*6* (we go up)
826,783 is rounded to 830,000
Determine the intervals in which the function is decreasing
The intervals in which the function is decreasing. \([-\pi , -\frac{\pi }{3} ], [\frac{\pi }{3}, \pi ]\). Option 3
How do you find the interval in which the function is decreasing?We're given a function f(x) = 2 sin x - x, which describes a curve on a graph. We want to find the intervals where this curve is decreasing (going down) within the range of -π to π.
To find when the function is decreasing, we look at its slope. The slope tells us if the curve is going up or down. We find the slope by taking the first derivative of the function: f'(x) = 2 cos x - 1.
We now have an equation for the slope, f'(x) = 2 cos x - 1. A negative slope means the function is decreasing. So, we want to find where f'(x) is less than 0 (negative).
We set up the inequality: 2 cos x - 1 < 0. We solve it to find the x-values where the slope is negative. The solution is cos x < 1/2.
From the inequality cos x < 1/2, we find the intervals within the range of -π to π where the function is decreasing. These intervals are [-π, -π/3] and [π/3, π].
The above answer is in response to the question below as seen in the picture.
Determine the interval(s) in \([-\pi, \pi ]\) on
which f(x) = 2 sin x - x
is decreasing.
1. \([-\frac{\pi }{3}, \frac{\pi }{3} ]\)
2. \([-\frac{\pi }{6}, \frac{\pi }{6} ]\)
3. \([-\pi , -\frac{\pi }{3} ], [\frac{\pi }{3}, \pi ]\)
4. \([-\pi , -\frac{-2\pi }{3} ], [\frac{2\pi }{3}, \pi ]\)
5. \([-\pi , - \frac{5x}{6} ], [\frac{\pi }{6}, \pi ]\)
6. \([-\frac{\pi }{6}, \frac{5\pi }{6} ]\)
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on a separate sheet of paper, sketch the rectangle for each problem using any method round and estimate to check your answer problem 1 5 x 4,751
The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.
What is rounding of a number?Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.
The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.
1. 5 x 4751 ≈ 5 x 4800 = 24,000.
To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.
2. 7 x 6000 = 42,000.
To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.
3. 6 x 5214 ≈ 6 x 5200 = 31,200.
To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.
4. 8 x 3867 ≈ 8 x 3900 = 31,200.
To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.
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The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.
What is rounding of a number?The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.
In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.
Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.
1. 5 x 4751 ≈ 5 x 4800 = 24,000.
To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.
2. 7 x 6000 = 42,000.
We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.
3. 6 x 5214 ≈ 6 x 5200 = 31,200.
By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.
4. 8 x 3867 ≈ 8 x 3900 = 31,200.
To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.
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A line on a graph passes through the points (15, 10) and (60, 20).
Answer:
Not complete, please recheck the question
A local cinema found that if the price of admission was $16, the attendance was about 950 customers per day. When the price of admission was dropped to $5,
attendance increased to about 1550 per day. Write a linear equation for the attendance in terms of the price,p. (A = mp+b)
Answer:
A = -10*p + 2220
Step-by-step explanation:
To write a linear equation let define
A = attendance
m = slope of the line
b = intercept of the line
p = Price of admision
let´s find m, using the two points (p,A)
point 1 = (13, 2050)
point 2 = (12, 2100)
m = (2100 – 2050)/(12-17) = -10
Replacing m in the equation
A=-10p+b
To find b, let´s use point 1
2050 = -10*17 + b
B = 2050 + 170
b = 2220
finally, the equation is
A = -10*p + 2220
The cafeteria lunch menu lists:
Pizza Cheese, Sausage, Pepperoni
Dessert - Pudding or Cookie
Drink-Water, Milk, Soda
How many different lunch meals can you construct from these choices?
O 18
O
O 81
03
Answer: 18
Step-by-step explanation:
Multiply number of each item possible
3*2*3=18
A professional guitarist charges a flat amount for performances at restaurants and events. He played 6 performances over 2 weeks and made a total of $420. Write an equation and solve for the amount he makes for each performance.
Answer:
The guitarist makes 70$ a performance
Step-by-step explanation:
To find how much he makes per performance we need to make an equation where how much he makes per performance is x
The equation would be:
6×x=420
Then we would divide both sides by 6
6÷6×x=420÷6
which would make the equation
x=70
meaning that the guitarist makes 70$ per performance
Let performances be x
\(\\ \sf{:}\dashrightarrow 6x(2)=420\)
\(\\ \sf{:}\dashrightarrow 12x=420\)
\(\\ \sf{:}\dashrightarrow x=420/12\)
\(\\ \sf{:}\dashrightarrow x=35\)
Mrs. Smith has 310 pencils in her classroom. Each student gets 3³
pencils. How many students are in her class? Leave your answer in
exponent form.
A. 313
B. 330
C. 37
D. 39
The number of students in mrs. Smith's class in exponent form is 3⁷.
How many students are in Mrs. Smith class?Given that, Mrs. Smith has 3¹⁰ pencils in her classroom. Each student gets 3³ pencils.
Let the number of students in the class be represented by n.
Total number of pencils = 3¹⁰Number of pencils each student gets = 3³Number of students in the class = nTo get the number of students in the class, divide the total number of pencils by the number of pencils each student got.
n = Total number of pencils ÷ Number of pencils each student gets
n = 3¹⁰ ÷ 3³
Since they both have the same base, we subtract the exponents
n = 3¹⁰ ⁻ ³
n = 3⁷
Therefore, the number of students is 3⁷.
Option D) 3⁷ is the correct answer.
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Determine if it is possible to form a triangle using the set of segments with the given measurements.
4.5 in., 5.6 in, 10 in.
a) No, adding all three sides does not add up to the correct measurements.
b) No, because two sides add up to less than the third one.
c) No, because two sides add up to more than the third one.
d) Yes, because two sides add up to less than the third one.
e) Yes, because two sides add up to more than the third one.
Answer:
e) Yes, because two sides add up to more than the third one.-------------------------
Apply the Triangle Inequality Theorem.
It states that:
For a triangle to exist, the sum of the lengths of any two sides must be greater than the length of the third side.We'll take the sum of two shortest sides and compare with the longest:
4.5 + 5.6 = 10.1 > 10It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.
The matching answer choice is e).
Given:
p: x is greater than 20.
q: x is divisible by 5
What is a value of x that makes p or q true?
16
99
19
12
Answer:
99
Step-by-step explanation:
Since the question is or, we only need to answer one. For q, there is of course no answer that will not end the division in decimals. So lets move on to p. The only number that is greater than 20 is 99. Also, 99 is divisible by 5, it will just end in decimals. So the answer is 99.
Mofor has homework assignments in five subjects. He only has time to do two of
them.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
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Find three consecutive odd integers such that the sum of the first and second is 27 less than three times the third
The consecutive integers that are odd numbers are 17, 19 and 21.
How to determine the value of three consecutive integers
In this problem we need to find the values of three consecutive integers that odd integers such that the following equation is satisfied:
x₁ + x₂ = 3 · x₃ - 27
Please notice that two odd numbers are consecutive when their difference is 2.
x₁ + (x₁ + 2) = 3 · (x₁ + 4) - 27
2 · x₁ + 2 = 3 · x₁ + 12 - 27
2 · x₁ + 2 = 3 · x₁ - 15
17 = x₁
x₁ = 17
Thus, the three odd integers that are consecutive are 17, 19 and 21, respectively.
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This table shows the ratio of the number of red beans to the total number of beans.
A 2-column table has 2 rows. Column 1 is labeled Total with entries 30, and 15. Column 2 is labeled Red with entries 20, and 10.
Which ratios are equivalent to 30:20? Check all that apply.
40:30
10:0
3:2
the answer is C and D
The ratio which is equivalent to 30:20 is option C, 3:2.
How to obtain real measurements from the ratio of two measurements?Suppose the real measurements were "a" and "b"
Then their ratio will be formed as
\(\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}\)
where is a common factor (not 1)? This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly canceled from both the numerator and the denominator.
Thus, a = px, b = qx
We have given that a 2-column table has 2 rows. Column 1 is labeled
The Total with entries 30, and 15. Column 2 is labeled Red with entries 20, and 10.
Given ratio is 30:20
Or
3:2
Therefore, we can conclude that the ratio which is equivalent to 30:20 is option C, 3:2.
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find the 35th term of the arithmetic sequence -5, 1, 7, 13, 19,...
Answer:
1,7,13,19,.......
where a=1 & d=6(a2-a1=7-1=6)
an=a+(n-1)d
an=1+(n-1)6 [a=1,d=6]
an=1+6n-6
an=6n-5
6n-5 is the nth term of this sequence
Step-by-step explanation:
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have a beautiful day ahead
Combine like terms in expression below
2f + 9e - f + 3e
Answer:
12e + f
Step-by-step explanation:
2f - f = f
9e + 3e = 12
....
Answer:
f + 12e
Step-by-step explanation
(+2f) + (+9e) + (-f) + (+3e)
(2f) + (-f) = 1f or f
9e + 3e = 12e
f + 12e
Please Help! I need Help fast! Brailnest!! Sorry in the picture you can kinda see Sasuke's head lol. But its Multiple choice please help!
Answer:
D
each hour goes up by $25
Q7 PLEASE HELP ME !!!!!!!!!!!!!!!!!!!
The outcomes that are contained in the events are
X = 3 and 10 ⇒ P(X) = 1/5Not X =1, 2, 4, 5, 6, 7, 8 ⇒ P(Not X) = 4/51 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)
The outcomes contained in the eventsFrom the question, we have the following parameters that can be used in our computation:
X = gray colours
Given that
gray colours = 3 and 10
We have
X = 3 and 10
Not X =1, 2, 4, 5, 6, 7, 8
The probability is then calculated as
P(X) = 2/10 = 1/5
For P(Not X), we have
P(Not X) = 1 - 1/5 = 4/5
The equation of P(Not X)In (a), we have
P(Not X) = 1 - 1/5 = 4/5
This means that
P(Not X) = 1 - P(X)
So, the solution is
1 - P(X) = 4/5
The equivalent expressionUsing the above (a) and (b) as a guide, we have the following:
1 - P(X) is the same as P(Not X)
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Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
We have,
To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.
Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:
∫ (log(1 + (u-1)²) / u²) du.
Expanding the numerator, we have:
∫ (log(1 + u² - 2u + 1) / u²) du
= ∫ (log(u² - 2u + 2) / u²) du.
Now, let's split the logarithm using the properties of logarithms:
∫ (log(u² - 2u + 2) - log(u²)) / u² du
= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.
We can simplify the second integral:
∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.
Using the power rule for integration, we can integrate both terms:
∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.
Now, let's focus on the second integral:
∫ (log(u) / u³) du.
This integral does not have a simple closed-form solution in terms of elementary functions.
It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).
Therefore,
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
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Find the pair of numbers that completes the factorization. x^2 - 3x - 40 = (x +?)(x-?)
a- 5,8
b- 4,10
c- 10,4
d- 8,5
answer
a. 5,8
explanation
use numbers in each answer choice
+5 * -8 = - 40
+5 -8 = -3
Consider the form \(x^2+bx+c\). Find a pair of integers whose product is \(c\) and whose sum is \(b\). In this case, whose product is -40 and whose sum is -3.
\(\longrightarrow\boxed{\bold{(-8,5)}}\)
Write the factored form using these integers.
\((x-8) \ (x+5)\)
help omg I’m struggling
HELP ILL MARK AS BRAINLIEST!
Answer:
There is one solution (4,0)
Step-by-step explanation:
First, we will try to solve this system of equations.
I will rearrange 2x-5y=8 to isolate -5y.
The new equation would be 5y=2x-8.
Now we will add
2x -8 = 5y
with
-2x+8=5y
We get 0 = 10y
Divide by 10 and we get y = 0.
Now that we know the value of y, lets solve for x.
2x-8=5(0)
2x-8=0
Add 8
2x=8
Divide by 2 to isolate x
x = 4.
x=4 and y=0
The solution is (4, 0)
Assume that emergency medical personnel in California are planning for future resources and it has been observed that the average number of traffic accidents requiring ambulance assistance on the Hollywood Freeway between 7 and 8 AM on Wednesday mornings is 1.1. What, then, is the probability that there need for exactly 2 ambulances on the Freeway during that time slot on any given Wednesday morning?
Answer:
Answer is 0.5
Step-by-step explanation:
The text implies that the number of traffic accidents determines the number of ambulances required on the road. Hence, 1 traffic accident requires 1 ambulance.
The time slot and time of day remain same in both the text and the question.
The average or mean number of accidents is 1.1
QUESTION: What then is the probability that there is need for exactly 2 ambulances on that road and in that time frame?
In other words, what is the probability that there'll be 2 accidents on that road and in that time frame?
Since the mean number of accidents is 1.1, 2 is above the mean.
Probability of 1.1 accidents is 1, since that's the mean (expected value).
Probability of 2 accidents is 1/2 which is = 0.5
Listed below are annual data for various years. The data are weights(metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha (α) =0.05 Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Select all TRUE statements for the above hypothesis test from those given below.
Lemon_Imports_(x) Crash_Fatality_Rate_(y)
230 15.8
264 15.6
359 15.5
482 15.3
531 14.9
Reqiured:
a. What are the null and alternative hypotheses?
b. Construct a scatterplot.
c. The linear correlation coefficient r is: ________
d. The test statistic t is :__________
e. The P-value is :___________
Answer:
R = - 0.9453
T = - 5.019
Pvalue = 0.212
Step-by-step explanation:
Given the data:
Lemon_Imports_(x)
230
264
359
482
531
Crash_Fatality_Rate_(y):
15.8
15.6
15.5
15.3
14.9
The Correlation Coefficient, R using a correlation Coefficient calculator is - 0.9453 ; this depicts a strong negative correlation between the dependent and independent variable.
The test statistic, T :
T = r / √(1 - r²) / (n - 2)
T = -0.9453/ √(1 - (-0.9453)²) / (5 - 2)
T = - 0.9453 / 0.1883329
T = - 5.019
The Pvalue using a Pearson Pvalue calculator ;
df = n - 1 = 5 - 2 = 3 ; r = - 0.9453
Pvalue = 0.212
What is the slope of the linear equation y=x+6?
a. X
b. 1
c. 0
d. 6
Answer:
b
Step-by-step explanation:
The slope of the linear equation y=x + 6 is 1. When with a variable with a coefficient of 1, you do not need to write out 1. If it were zero, there would be no variable in the equation. It just stands on its own without the written coefficient. 1x=x. A does not make sense because x times x is x^2. in C, as i said before, there would just be no x and the equation would be y=6. And 6 is the y-intercept since it is in the place of b of y=mx+b.
In a class of 30 high school
students, 21 students drive a car to school. What percent of students drive a car to school?
Answer:
70 percent
Step-by-step explanation:
Answer:
70%
Step-by-step explanation:
you take the number of students who drive Divide by the number of high school students.
Can someone answer these 3 trig questions using sum and difference identities formula and show work ty very much
The exact values for trigonometric functions are:
a) cos(A+B)=56/65
b) sin(A+B)=-33/65
c) sin(A-B)=-33/65
a) We have, cos A = -3/5 (using Pythagorean identity
and sin B = -5/13 (using Pythagorean identity = 1).
Using the formula for cosine of sum of two angles, we have:
cos (A+B) = cos A cos B - sin A sin B
\(=(-3/5)(-12/13)-(4/5)(-5/13)\\\\=56/65\)
b) Using the same formula for sine of sum of two angles, we have:
sin (A+B) = sin A cos B + cos A sin B
\(=(-3/5)(-12/13)-(4/5)(-5/13)\\\\=-33/65\)
c) Using the formula for sine of difference of two angles, we have:
sin (A-B) = sin A cos B - cos A sin B
\(453=(4/5)(-12/13)+(-3/5)(-5/13)\\\\=-33/65\)
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Complete the statements based on the information.
Answer:
How can I answer this when there is no information.
What value of x is in the solution set of 8x – 6 > 12 + 2x?
Answer:
x > 3
Step-by-step explanation:
\(8x - 6 > 12 + 2x\\\\8x - 6 + 6 > 12 + 6 + 2x\\\\8x > 18 + 2x\\\\8x - 2x > 18 +2x-2x\\\\6x > 18\\\\\frac{6x>18}{6}\\\\\boxed{x > 3}\)
Any value that is greater than 3 would be in the solution set for the inequality.
Hope this helps.
Answer:
x > 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
8x - 6 > 12 + 2x
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 2x on both sides: 6x - 6 > 12[Addition Property of Equality] Add 6 on both sides: 6x > 18[Division Property of Equality] Divide 6 on both sides: x > 3Currently it is estimated that 3 out of every 1000 Californians are infected with
coronavirus. The so-called rapid "antigen" test for coronavirus has a very low false
positive.rate of just 0.05, but has a high false negative rate of 0.2.
What is the probability that an antigen test comes back positive?
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
We have,
To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.
Now,
Prevalence of coronavirus in California: 3 out of 1000
False positive rate of the antigen test: 0.05 (5 out of 100)
Let's calculate the probability of a positive test result.
The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):
True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)
The probability of a positive test result can be calculated using Bayes' theorem:
P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)
P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)
P(Positive test) = 0.0024 + 0.04985
P(Positive test) = 0.05225
Therefore,
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
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What is the area of this figure?
2m
4m
8m
9m
5m
10m
Answer:
98
Step-by-step explanation: