Answer:
-11 ≤ x ≤ -5
Step-by-step explanation:
11-5x≥36
-5x≥25
x ≤ -5
11-5x≤66
-5x≤55
x ≥ -11
Answer:
\(-5 \leq x \leq -11\\\)
Step-by-step explanation:
You can simplify this inequality by:
\(36\leq 11-5x \leq 66\)
subtract 11 from all parts:
\(25 \leq -5x \leq 55\)
Divide each part by -5:
\(-5 \leq x \leq -11\)
This is your answer
Hope this helps!
find the exact length of the curve. y = 1 1 6 cosh(6x), 0 ≤ x ≤ 1
The exact length of the curve is 33.619.
To find the exact length of the curve defined by y = 7 + (1/6)cosh(6x), where 0 ≤ x ≤ 1, we can use the arc length formula.
First, let's find dy/dx:
dy/dx = (1/6)sinh(6x)
Now, we substitute dy/dx into the arc length formula and integrate from x = 0 to x = 1:
Arc Length = ∫[0, 1] √(1 + sinh²(6x)) dx
Using the identity sinh²(x) = cosh²(x) - 1, we can simplify the integrand:
Arc Length = ∫[0, 1] √(1 + cosh²(6x) - 1) dx
= ∫[0, 1] √(cosh²(6x)) dx
= ∫[0, 1] cosh(6x) dx
To evaluate this integral, we can use the antiderivative of cosh(x).
Arc Length = [1/6 sinh(6x)] evaluated from 0 to 1
= 1/6 (sinh(6) - sinh(0)
= 1/6 (201.713 - 0) ≈ 33.619
Therefore, the value of 1/6 (sinh(6) - sinh(0)) is approximately 33.619.
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What are the three unbiased estimators?
The three unbiased estimators are the sample mean, sample variance, and sample proportion. These estimators provide unbiased estimates of the population mean, population variance, and population proportion, respectively.
There are several unbiased estimators commonly used in statistics, but three notable examples are the sample mean, the sample variance, and the sample proportion.
1. Sample Mean: When estimating the population mean, the sample mean is an unbiased estimator. It is calculated by taking the average of all the observations in a sample. Under certain conditions, such as random sampling, the sample mean provides an unbiased estimate of the population mean.
2. Sample Variance: When estimating the population variance, the sample variance is an unbiased estimator. It measures the dispersion of the data points around the sample mean. By dividing the sum of squared differences by the sample size minus one, the sample variance provides an unbiased estimate of the population variance.
3. Sample Proportion: When estimating the population proportion, the sample proportion is an unbiased estimator. It represents the proportion of a specific characteristic or outcome within a sample. If the sample is obtained randomly and meets certain conditions, the sample proportion provides an unbiased estimate of the population proportion.
These three unbiased estimators play crucial roles in statistical inference, allowing researchers to make inferences about population parameters based on sample data.
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The following expression will evaluate to 2.5:(double) (10 / 4)© True) False
The statement is False. The expression evaluates to 2.0, not 2.5.
The expression (double) (10 / 4) involves several steps of evaluation. Let's break it down to understand the process.
Integer Division: The division operation 10 / 4 is performed first. In integer division, the result is the quotient of the division without any decimal places. In this case, 10 / 4 equals 2, as the fractional part is truncated.
Type Casting: The expression (double) is a type cast that converts the result of the division to a double data type. However, the type casting occurs after the integer division has already taken place. So, the result of the type casting will not affect the value obtained in the integer division.
As a result, the expression (double) (10 / 4) evaluates to 2.0, not 2.5. The value 2.0 is a double representation of the integer 2. The type casting only affects the data type of the value, not its actual numerical value.
Therefore, the statement "The following expression will evaluate to 2.5: (double) (10 / 4)" is false. The expression evaluates to 2.0.
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True. The expression (double) (10 / 4) will evaluate to 2.5.
To evaluate the given expression, we need to follow the order of operations. First, we have the casting operation, which involves converting the result of the division to a double data type. Then, we have the division operation, which involves dividing 10 by 4.
Let's break down the steps:
Perform the division operation: 10 / 4 = 2.5Perform the casting operation: (double) 2.5 = 2.5Therefore, the expression (double) (10 / 4) will evaluate to 2.5.
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How i can answer this question, NO LINKS, If you answer correctly I will give u brainliest!
Answer:
1. 20/2.50=8 2. (20-5)/2.5= 6
Step-by-step explanation:
math
The 2nd question's answer is 8 kilometers.
Brainliest pls if i m correct!
2w to the power of 0
Answer: 2 to the power of 0 can be expressed as 20
Step-by-step explanation: tbf im not sure, explain clearly
Answer: 1 or 2 (see below)
Step-by-step explanation:
any number to the power of 0 = 1
solution 1) (2w)^0 = 1
solution 2) 2(w^2) = 2(1) = 2
Answer depends on placement of parentheses!
please help: find m∠LHF
Answer:
17
Step-by-step explanation:
5y - 8 = 9y - 28
-8 = 4y - 28
4y = 20
y = 5
9(5) - 28
45 - 28
17
6/1000 is equal to...
A 0.0006
B 0.006
C 0.06
D 0.6
E 6000
Answer: B
0.006
Step-by-step explanation:
Answer:
B. 0.006
Step-by-step explanation:
for 6/10 it would be 0.6, 6/100 is 0.06, and 6/1000 is 0.006. Also the way you would say 6/1000 is either six over one thousand or six thousandths which is also how you would say 0.006.
i hope this helps!
Explain how you can solve inequality-2x +4 <16
The solution to the inequality -2x + 4 < 16 is x > -6.
To solve the inequality -2x + 4 < 16, you can follow these steps:
Start by isolating the variable term. In this case, the variable term is -2x. Move the constant term, which is +4, to the other side of the inequality by subtracting 4 from both sides:
-2x + 4 - 4 < 16 - 4
-2x < 12
Next, divide both sides of the inequality by the coefficient of x, which is -2. It's important to note that when you divide or multiply an inequality by a negative number, you need to reverse the direction of the inequality sign:
(-2x) / -2 > 12 / -2
x > -6
The solution to the inequality is x > -6. This means that any value of x greater than -6 would satisfy the original inequality. Graphically, this represents all the numbers to the right of -6 on the number line.
So, the solution to the inequality -2x + 4 < 16 is x > -6.
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help please I'll give brainliest and a vote!!!
which plumbing company charges more per hour so your work and explain how you know
Answer:
Quality Plumbing charges more per hour.
In the graph, you can see that it would cost $150 for their work plus $100 per hour based on the slope of the line.
A Plus Plumbing charges $140 for their work plus $60 per hour.
i dont know functions
Answer:
6, -8
Step-by-step explanation:
You need to find out the possible values of which X cannot equal
In fractions the only way that's possible is if the denominator= 0
Because everything in the denominator is being mulitplied this is pretty simple
We need either parantheses to equal 0
so we take them and solve for 0
we have
x-6= 0
x=6
x+8=0
x= -8
simplify this number 27:81
Answer:
I believe the simplified form of this ratio is 1:3
*The common factor to both numbers is 27.
27÷27=1 and 81÷27=3
So, that's where the 1:3 came from
5. Given a circle with radius 5cm and sector area of 5picm², find the
central angle.
The central angle of the sector with a radius of 5 cm and an area of 5π cm² is 72 degrees.
To find the central angle of a sector, we need to use the formula that relates the sector area to the central angle and the radius of the circle. The formula for the area of a sector is:
Area = (θ/360) * π * r^2
Where:
Area is the sector area
θ is the central angle in degrees
π is a mathematical constant (pi)
r is the radius of the circle
In this case, we are given the radius of the circle as 5 cm and the sector area as 5π cm². Let's substitute these values into the formula and solve for θ.
5π = (θ/360) * π * 5^2
Simplifying the equation:
5π = (θ/360) * 25π
To eliminate π, we can divide both sides of the equation by π:
5 = (θ/360) * 25
Now, let's isolate θ by multiplying both sides of the equation by (360/25):
5 * (360/25) = θ
Simplifying the equation:
θ = 72
Therefore, the central angle of the sector is 72 degrees.
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Suppose the equation for line a is given by 2x-5y=15. If line a and b are parallel and the point (-10, 3) lies on line b, then write the equation in slope intercept form for line b
Answer:
Line \(b\) is represented by the equation \(y = \frac{2}{5}\cdot x + 7\).
Step-by-step explanation:
Let be line \(a\) represented by \(2\cdot x - 5\cdot y = 15\), whose explicitive form is:
\(5\cdot y = 2\cdot x - 15\)
\(y = \frac{2}{5}\cdot x - 3\)
As line \(b\) is parallel to line \(a\), its slope is equal to \(\frac{2}{5}\). Two lines that are parallel to each other have the same slope but different y-intercept. In addition, we know that point (-10, 3) lies on that line and we must find the y-intercept (\(k\)):
\(y = \frac{2}{5}\cdot x +k\)
If \(x = -10\) and \(y = 3\), then:
\(3 = \frac{2}{5}\cdot (-10)+k\)
\(k = 3+\frac{2}{5} \cdot (10)\)
\(k = 7\)
Line \(b\) is represented by the equation \(y = \frac{2}{5}\cdot x + 7\).
. What tool can you use to improve your health?
A a social networking site with a healthy focus
B a cause (like improving the food at school cafeterias or inspiring others to get fit)
C MyPlate
D a health journal
E a club with a healthy focus (such as exercise or healthful cooking)
F an activities calendar
G all of these answers
Answer:
G. All of these answers
Step-by-step explanation:
It would be all of them because some have to do with exercise and the others have to do with a plan for dieting and exercising.
In your English class you are given a list of 12 books you want to choose three books to read over the summer how many groups of three books are available from the list of 12
Answer:
4
Step-by-step explanation:
I need help finding out the area of this shape plz help me.
Answer:
hi
Step-by-step explanation:
glizzy
Answer:
Step-by-step explanation:
Area = l x w
i dont know if you are trying to find the area of the whole shape but the area of the shape all together is 25.6
Can someone please give me the (Answers) to this? ... please ...
I need help….
Answer:
Step-by-step explanation:
5. x/7 = 9/x
x^2 = 63
x= 3\(\sqrt{7}\)
6. x/84 = 16/x
x^2 = 1344
x=8\(\sqrt{21}\)
7. x/12 = 12/16
16x=144
x=9
8. x/48 = 48/64
64x=2304
x=36
Are 3/8 and 3/4 equivalent fractions use a number line to dicide
Answer: Compare 3/8 and 3/4 3 8 is smaller than 3 4 Steps for comparing fractions Find the least common denominator or LCM of the two denominators: LCM of 8 and 4 is 8 Next, find the equivalent fraction of both fractional numbers with denominator 8.
True
False
The objective function in the linear programming always consists of either maximizing or minimizing some value.
True, The objective function in linear programming is formulated to either maximize or minimize a specific value or quantity.
The goal of linear programming is to optimize this objective function by finding the optimal values for the decision variables within the given constraints. Whether it is maximizing profit, minimizing cost, maximizing production, or minimizing waste, the objective function is designed to achieve the desired optimization outcome.
The objective function in linear programming serves as the goal or target to be achieved. It can involve maximizing profits, minimizing costs, maximizing efficiency, minimizing waste, or any other measurable quantity. The objective function guides the optimization process by defining the objective to be pursued in the linear programming problem.
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need help on this pleaseeee!! as soon as possible!!!
A 9-inch candle burns down in 6 hours. How far has it burned after 5 1/2 hours? Use the dropdown menu to state your answer as a decimal, mixed number, or improper fraction.
The amount of candle burn after 6 hours is 4.95 inches.
What is the total amount?
Total refers to an entire or complete amount, and the verb "to total" means to combine two numbers or to destroy anything. In mathematics, you add integers to get the total; the outcome is the total.
Here, we have
Given that the 9-inch candle burns in 6 hours.
We know that we first have to calculate how 1 hour how much candles will burn.
Candle burn in 1 hour is :
= 9 / 10
= 0.9 inch
Now,
To find out how far the candle burnt after 6 hours we need to multiply the part of the candle burned by one hour by 11/2 hours.
= 11/2 × 0.9
= 4.95 inches
Hence, the amount of candle burn after 6 hours is 4.95 inches.
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This year 20% of city employees ride the bus to work. Last year only 18% of city employees rode the bus to work. a. Find the absolute change in city employees who ride the bus to work. b. Use the absolute change in a meaningful sentence. c. Find the relative change in city employees who ride the bus to work. Round to whole number percent. d. Use the relative change in a meaningful sentence.
a. The absolute change in city employees who ride the bus to work is 2%.
b. The relative change in city employees who ride the bus to work is approximately 11%.
c. The relative change in city employees who ride the bus to work is approximately 11%.
d. The relative change of around 11% indicates an increase in the proportion of city employees riding the bus to work compared to last year.
a. The absolute change in city employees who ride the bus to work can be calculated as the difference between this year's percentage (20%) and last year's percentage (18%):
Absolute change = 20% - 18% = 2%
b. The absolute change of 2% indicates that the number of city employees riding the bus to work has increased by 2 percentage points compared to last year.
c. The relative change in city employees who ride the bus to work can be calculated as the absolute change divided by the previous year's percentage, multiplied by 100:
Relative change = (Absolute change / Previous year's percentage) * 100
Relative change = (2% / 18%) * 100 ≈ 11%
d. The relative change of approximately 11% implies that the proportion of city employees riding the bus to work has increased by around 11% compared to last year.
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In the diagram, ZTRV ZVRW.
T
S
R
W
What is the measure of ZSRT?
mzSRT =
degrees
By definition of the linear pair of angles, the measure of ∠ SRT is ∠ SRT = 90°.
Describe Angles?An angle is a geometric figure that consists of two rays that share a common endpoint, called the vertex. The rays are also known as the sides of the angle. Angles are measured in degrees or radians and are typically denoted using a symbol such as ∠ABC or ∠B. The size of an angle is determined by the amount of rotation needed to bring one ray into alignment with the other. Angles can be classified according to their size and shape.
Angles that measure less than 90 degrees are called acute angles, while angles that measure exactly 90 degrees are called right angles. Angles that measure between 90 and 180 degrees are called obtuse angles, and angles that measure exactly 180 degrees are called straight angles.
Angles can also be classified according to their position relative to each other. Two angles that share a common vertex and one side but do not overlap are called adjacent angles. Two angles whose measures add up to 180 degrees are called supplementary angles, while two angles whose measures add up to 90 degrees are called complementary angles.
We have to given that;
In the diagram,
⇒ ∠TRV ≅ ∠ VRW.
Now, By definition of linear pair of angles, we get;
⇒ ∠ TRV + ∠ VRW = 180°
⇒ 2 ∠ TRV = 180°
⇒ ∠ TRV = 90°
And, By definition of linear pair of angles, we get;
⇒ ∠ TRV + ∠ TRS = 180°
⇒ 90° + ∠ TRS = 180°
⇒ ∠ TRS = 90°
Thus, By definition of the linear pair of angles, the measure of ∠ SRT is,
⇒ ∠ SRT = 90°
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The complete question is:
The diagonal of a square has a length of 12.8 dm. Determine the square
circumference.
The circumference is ___ dm.
Probability of first marriage among women. A National Center for Health Statistics (NCHS) brief report by the Centers for Disease Control and Prevention (CDC) in 2009 identified that about 6% of women in the United States mar- ried for the first time by their 18th birthday 50% married by their 25th birthday, and 74% married by their 30th birthday. Based on these data, what is the probability that in a family with two daughters, the first and second daughter will be married by each of the following ages? la) 18 years of age b) 25 years of age c) 30 years of age
The probability that both will be married before the age of 18 is 0.0036. The probability that both will be married by the age of 25 is 0.25. Finally, the probability that both will be married by the age of 30 is 0.5476.
According to the brief report by NCHS, approximately 6% of women in the United States married for the first time before their 18th birthday, and 50% of women married by their 25th birthday. 74% of women married by their 30th birthday.The probability of a family with two daughters marrying at different ages is asked in the question. The probability that both daughters will be married by the ages of 18, 25, and 30 will be determined
The question requires finding the probability that both daughters of a family will be married by the ages of 18, 25, and 30 respectively. Since each daughter's wedding is a separate event, the individual probability of a daughter marrying at a given age will be determined separately and then multiplied together to get the probability of both daughters being married at the given age. So, let's find the probabilities of each daughter marrying at a given age:
Probability of one daughter getting married by 18 years:
As per the brief report, 6% of women in the United States married before the age of 18.
Therefore, the probability of one daughter getting married before the age of 18 is 0.06
Probability of one daughter getting married by 25 years:
As per the brief report, 50% of women in the United States get married by the age of 25. Therefore, the probability of one daughter getting married by 25 years is 0.5.
Probability of one daughter getting married by 30 years:
As per the brief report, 74% of women in the United States get married by the age of 30. Therefore, the probability of one daughter getting married by 30 years is 0.74.
The probability of both daughters getting married at the same age is the product of each daughter's probability of getting married at that age.
The probability that both daughters will get married before the age of 18 is:
P(both daughters married at 18 years) = P(daughter1 married at 18) × P(daughter2 married at 18)= 0.06 × 0.06= 0.0036
The probability that both daughters will get married by the age of 25 is:
P(both daughters married at 25 years) = P(daughter1 married at 25) × P(daughter2 married at 25)= 0.5 × 0.5= 0.25
The probability that both daughters will get married by the age of 30 is:
P(both daughters married at 30 years) = P(daughter1 married at 30) × P(daughter2 married at 30)= 0.74 × 0.74= 0.5476
The probability that in a family with two daughters, both will be married before the age of 18 is 0.0036. The probability that both daughters will be married by the age of 25 is 0.25. Finally, the probability that both daughters will be married by the age of 30 is 0.5476.
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Write a rule for the nth term of the sequence:
a_6 = -8, a_15 = -62 arithmetic
Answer:
\(a_n=28-6n\)
Step-by-step explanation:
Formula for arithmetic sequence: \(a_n=a+(n-1)d\)
Given:
\(a_6=-8\)\(a_{15}=-62\)\(a_6=a+5d=-8\)
\(a_{15}=a+14d=-62\)
\(a_{15}-a_6\implies 9d=-54\)
\(\implies d=-6\)
Substituting found value for d into one of the equations and solving for a:
\(a_6=a+(5 \times -6)=-8\)
\(\implies a=22\)
\(\implies a_n=22-6(n-1)\)
\(\implies a_n=28-6n\)
решииииитеееее плииииииз
Answer:
ik
Step-by-step explanation:
What is the second step to solve 4(3x + 2) = 28 ?
The second step solution to the equation 4(3x + 2) = 28 is x = 5/3.
The first step to solve the equation 4(3x + 2) = 28 is to use the distributive
property to simplify the expression inside the parentheses, which gives:
4(3x + 2) = 28
12x + 8 = 28
To solve for x, we need to isolate the variable on one side of the equation.
The second step is to subtract 8 from both sides to get:
12x = 20
So the second step is to divide both sides by 12 to get the value of x:
12x/12 = 20/12
x = 5/3
Therefore, the solution to the equation 4(3x + 2) = 28 is x = 5/3.
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help plssssssssssssssssssssssss
Answer:
perimeter = 5+9+8+11+8= 41cm
Mode = 8
median= 7
3, 6, |7|, 10, 12
Step-by-step explanation:
What is the formula to find P(A) for a series of simple events (ex: tossing a coin and selecting a number at the same time)
The probability of event A is P(A) = 1/4 or 0.25.
The formula to find P(A) for a series of simple events is:
P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)
For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:
- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.
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