The comparison of the numbers is that -√7 is greater than -3.12345....
How to compare the numbers?The numbers are given as:
-√7 and -3.12345....
Using a calculator, we have:
-√7 = -2.6457.....
-2.6457.... is greater than -3.12345....
This means that
-√7 is greater than -3.12345....
Hence, the comparison of the numbers is that -√7 is greater than -3.12345....
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Simplify 7 + (−3) plz plz
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
When we simplify the expression we get 4.
Find the volume of the composite shape:
Answer:
\(\pi \times 39 \times 81 \times 2 = 9919.26\)
A 5.0 µC point charge is moved within an electric field and has an electric potential energy change of 10.0 J. What is the electric potential difference before and after the charge was moved? Show work. (µC = 1.0 × 10–6)
For a 5.0 µC point charge moved within an electric field, the electric potential difference is mathematically given as
du=2*10^6
What is the electric potential difference before and after the charge was moved?Generally, the equation for the change in potential energy is mathematically given as
dV=qdu
Therefore
10=5*10^{-6}*du
du=2*10^6
In conclusion, the electric potential difference
du=2*10^6
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Collin wanted to purchase a truck with four-wheel drive, a CD player, and a GPS. Since he had saved just enough for the base model without these features, he decided to buy the base model and forego getting a car loan. Which biblical principle did he follow?
Colin has lived by the biblical ideal of avoiding debt, purchasing the lowest item, repaying a loan, and being financially honest.
A car loan is what?With an auto loan, you may borrow money from a bank and use it to purchase a vehicle. The loan must be repaid with interest over a defined period of time in fixed instalments from you.
Lenders will aim for a credit score of at least 750 when you apply for a vehicle loan.
The additional costs won't dramatically raise the price of the automobile because of the low interest rate. The periodic payments won't put undue strain on your current or next finances.
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Which of the following is equivalent to the expression below?
(-k+8)(-2k²-8k-1)
A)2k³-8k²-63k-8
B)2k³-24k²-64k-8
C)-8k^4 +2k³+64k-8
D)-24k^4-2k³-64k²-8
Answer:
A
Step-by-step explanation:
(-k + 8)(-2k² - 8k - 1)
We can use FOIL to solve this.
(-k * -2k²) + (-k * -8k) + (-k * -1) + (8 * -2k²) + (8 * -8k) + (8 * -1)
2k³ + 8k² + k + (-16k²) + (-64k) + (-8)
2k³ - 8k² - 63k - 8
Best of Luck!
In order to verify the accuracy of their financial accounts, companies use auditors on a regular basis to verify accounting entries. The company’s employees make erroneous entries 5% of the time. Suppose that an auditor randomly checks three entries.
a. Find the probability distribution for Y , the number of errors detected by the auditor.
b. Construct a probability histogram for p(y).
c. Find the probability that the auditor will detect more than one error.
To find the probability distribution for Y, the number of errors detected by the auditor, we can use the binomial distribution formula. The binomial distribution is used when there are only two possible outcomes, success or failure, and each trial is independent.
In this case, the probability of success (detecting an error) is 5% or 0.05, and the probability of failure (not detecting an error) is 1 - 0.05 = 0.95.
a. To find the probability distribution for Y, we can use the formula for the binomial distribution:
P(Y = y) = (nCk) * p^k * (1-p)^(n-k)
where n is the number of trials (3 in this case), k is the number of successes (errors detected), p is the probability of success (0.05), and (nCk) is the combination formula.
For y = 0:
P(Y = 0) = (3C0) * (0.05)^0 * (0.95)^(3-0) = (1) * (1) * (0.95)^3 = 0.857375
For y = 1:
P(Y = 1) = (3C1) * (0.05)^1 * (0.95)^(3-1) = (3) * (0.05) * (0.95)^2 = 0.135375
For y = 2:
P(Y = 2) = (3C2) * (0.05)^2 * (0.95)^(3-2) = (3) * (0.05)^2 * (0.95)^1 = 0.007125
For y = 3:
P(Y = 3) = (3C3) * (0.05)^3 * (0.95)^(3-3) = (1) * (0.05)^3 * (0.95)^0 = 0.000125
So the probability distribution for Y is:
Y = 0 with probability 0.857375
Y = 1 with probability 0.135375
Y = 2 with probability 0.007125
Y = 3 with probability 0.000125
b. To construct a probability histogram for p(y), you can create a bar graph where the x-axis represents the number of errors detected (Y) and the y-axis represents the probability (P(Y = y)). Each bar will have a height corresponding to the probability.
c. To find the probability that the auditor will detect more than one error, we need to calculate the sum of the probabilities for Y = 2 and Y = 3:
P(Y > 1) = P(Y = 2) + P(Y = 3) = 0.007125 + 0.000125 = 0.00725
Therefore, the probability that the auditor will detect more than one error is 0.00725.
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Identify the initial amount a and the growth factor b in the exponential function.
g(x)=14 x 2^x
a=14, b=x
a=14, b=2
a=28, b=1
a=28, b=x
Answer:
a = 14, b = 2
Step-by-step explanation:
the initial amount was 14
the growth factor is 2
Identify the reciprocal of ⁴/₉
Answer: 9/4
Step-by-step explanation:
Reciprocal is when the numerator and denominator flips their position
So here, reciprocal of 4/9 = 9/4
SOMEONE HELP! I NEED THIS QUICKLY! WILLING TO GIVE 45 POINTS!!! At 1 P.M., the total snowfall is 2 centimeters. At 4 P.M., the total snowfall is 7 centimeters. What is the mean hourly snowfall? Write your answer in simplest form as a fraction or mixed number.
The mean hourly snowfall is (5/3) centimeters per hour, which means that each hour there are 5/3 centimeters more of snow.
What is the mean hourly snowfall?The mean hourly snowfall is given by the quotient between difference between the total snowfall at the two given times and the total time.
Here we have:
Initial snowfall = 2cm
Final snowfall = 7cm
Difference = 7cm - 2cm = 5cm
And that happens between 1 P.M. and 4 P.M., so we have 3 hours.
Then the mean hourly snowfall is:
M = 5cm/3h = (5/3) centimeters per hour.
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can anyone solve 2x-2 <6
Answer:
x<4
Step-by-step explanation:
Hello,
\(2x - 2 < 6\)
\(2x < 6 + 2\)
\(2x < 8\)
\( \frac{2x}{2} < \frac{8}{2} \)
\(x < 4\)
The head track coach for PCTVS has a big track meet coming up. He knows that his biggest rival is Clifton and the entire track meet will come down to one event, the 100 meter relay race. The relay race is comprised of 4 runners from each team who run 100 meters each. The track coach has been working on his projections for the race and knows it will come down to the last leg of the race. He is having difficulty with his algebra skills, so he has asked the Honors classes at PCTI to help him make a projection for the race. He knows that on the last leg of the race, his runner will be leading the race. PCTVS's runner runs at a speed of 10.1 meters per second. Clifton's runner runs at a rate of 10.9 meters per second and will start the last leg of the race 0.8 seconds behind the runner from PCTVS. Will PCTVS win the relay race?
Answer:
ookkkkk
Step-by-step explanation: i have no clue about what u saying
Answer:
Which excerpt from "The Catch” appeals to readers’ sense of hearing to help them imagine a scene?
His legs and thigh muscles ached as he trudged through the final swampland.
He tried to thrust off Rohan’s shoulders to push himself over in as though they were in a game of leap frog.
Just then, an old elf released a great eagle from its shackles, a signal for the race to start. When it squawked to freedom, the race began.
The gentle foothills ended quickly, and the runners made a steep scramble to the top of a cliff, followed by a daylong run up across uneven terrain of hard, coarse-grained rock.
Step-by-step explanation:
please help i just need answers (correct ones don't answer for points plz)
Answer:
It should be 29 gallons for both.
Step-by-step explanation:
1450 divided by 50 is equal to 29.
write an expression which maximizes the sugar your could gain from street so that you can satisfy your sweet tooth. hint: define m[i]m[i] as the maximum sugar you can consume so far on the i^{th}i th vendor.
To maximize the sugar you can gain from street vendors and satisfy your sweet tooth, you can use the following expression:
m[i] = max(m[i-1] + s[i], s[i])
Here, m[i] represents the maximum sugar you can consume so far on the i-th vendor, and s[i] denotes the sugar content of the i-th vendor's offering.
The expression utilizes dynamic programming to calculate the maximum sugar consumption at each step. The variable m[i] stores the maximum sugar you can have up to the i-th vendor.
The expression considers two options: either including the sugar content of the current vendor (s[i]) or starting a new consumption from the current vendor.
To calculate m[i], we compare the sum of the maximum sugar consumption until the previous vendor (m[i-1]) and the sugar content of the current vendor (s[i]) with just the sugar content of the current vendor (s[i]). Taking the maximum of these two options ensures that m[i] stores the highest sugar consumption achieved so far.
By iterating through all the vendors and applying this expression, you can determine the maximum sugar you can gain from the street vendors and satisfy your sweet tooth.
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What is the slope of the line that passes through the points (5,-11) and (-9, 17)?
A-2
B-1/2
C7
D2
Answer:
The answer is option AStep-by-step explanation:
The slope of a line given two points can be found by using the formula
\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ \)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(5,-11) and (-9, 17)
We have
\(m = \frac{17 - - 11}{ - 9 - 5} = \frac{28}{ - 14} = - \frac{28}{14} = - 2 \\ \)
We have the final answer as
\( - 2 \\ \)
Hope this helps you
NAME THIS FIGURE (multiple choice)m
Answer:
D.... pentagonal prism
Step-by-step explanation:
The carousel at an amusement park has 20 horses spaced evenly around its circumference. The horses are numbered consecutively from 1 to 20. The carousel completes one rotation about its axis every 40 seconds.
a. What is the central angle, in degrees, formed by horse #1 and horse #8?
b. What is the speed of the carousel in rotations per minute?
c. What is the speed of the carousel in radians per minute?
d. A child rides the carousel for 6 minutes. Through how many radians will the child pass in the course of the carousel ride?
The child passes through 18π radians in the course of the carousel ride.
To determine the number of radians the child passes during the 6-minute ride on the carousel, we need to know the distance traveled in terms of radians.
Since there are 20 horses spaced evenly around the carousel, each horse is separated by an angle of 360/20 = 18 degrees or π/10 radians.
Therefore, during one rotation of the carousel, the child passes through 20π/10 = 2π radians. And since the carousel completes one rotation every 40 seconds, the angular velocity is 2π/40 = π/20 radians per second.
To find the total distance traveled in radians during a 6-minute ride, we need to multiply the angular velocity by the time elapsed.
6 minutes is equal to 360 seconds,
so the child passes through π/20 x 360 = 18π radians during the ride.
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cos sec² a - cot²a=1
Answer:
The relation is:
cosec^2(a) - cot^2(a) = 1.
Where:
cosec(x) = 1/sin(x)
cot(x) = 1/tan(x) = cos(x)/sin(x)
Let's prove this.
Ok, we know by the Pythagorean theorem, that:
r^2 = x^2 + y^2
And we have the trigonometric relations, for an angle "a" measured from the x-axis
cos(a) = x/r
sin(a) = y/r
tan(a) = y/x
Where r is the hypotenuse, x and y are the catheti.
Now, let's divide the Pythagorean theorem by y^2 in both sides to get:
(r^2/y^2) = (x^2 + y^2)/y^2
r^2/x^2 = x^2/y^2 + y^2/y^2
r^2/y^2 = 1 + x^2/y^2
(r/y)^2 = 1 + (x/y)^2
and remember that:
y/r = sin(a)
then:
r/y = 1/sin(a) = cosec(a)
(r/y)^2 = cosec^2(a)
and:
y/x = tan(a)
then:
x/y = 1/tan(a) = cot(a)
and:
(x/y)^2 = cot^2(a)
replacing these in the equation (r/y)^2 = 1 + (x/y)^2 we get:
cosec^2(a) = 1 + cot^2(a)
cosec^2(a) - cot^2(a) = 1
8-2|4-5y|=4
| | stands for absolute value
Answer:
y = (2/5) OR y = (6/5)
Step-by-step explanation:
The first step is isolating the expression within the absolute value bars. The first thing we can do is subtract both sides by 8. If we do that, we get -2|4-5y| = -4. Now, to completely isolate the absolute value, we would have to divide by -2. This yields |4 - 5y| = 2. Finally, we can remove the absolute value bars. However, to do this, we need to first understand what an absolute value bar does to an equation. Lets say that |x| = 2. Absolute value describes the DISTANCE of some quantity from 0 (on the number line). Therefore, x (which is inside the absolute value bars) can be either positive or negative 2 (they are BOTH two units away from 0). Similarly, in this case, (4 - 5y) can either be 2 or -2 (because the absolute value of both is 2). Now we have two possible solutions to solve for:
4 - 5y = 2 OR 4 - 5y = -2
5y = 2 OR 5y = 6
y = (2/5) OR y = (6/5)
If we plug both of these answers back into the equation we can see that they both check out.
hello pleASE I need helppppppp
I can help you with that problem i just did that on my own.
please help im tried :(
Answer:
45°
Step-by-step explanation:
well all the side are equal. Since each angle of this square is 90, and if I'm not mistaken, the two angle are equal to each other.
So both angle x and y are 45°
What is the value of X?
Answer:
I think the answer for this question is 2.24cm
Which equation represents the line that is perpendicular to y=1/6 and passes through (-8,-2)?
Answer:
y = -6x - 50
Step-by-step explanation:
y = mx + b
Since it is perpendicular to y=1/6, the slope is -6. (Opposite reciprocal)
y = -6x + b.
Substitute to get: -2 = 48 + b
b = -50
y = -6x - 50
a business has the following entires in their budget: $45 expense, $980 income, $249 income, $780 expense, $437 expense. what is the balance of the business's budget?
the length of a rectangular pool is three times its width. The perimeter of the rectangular pool is 168 feet. find the length and width of the pool.
Step-by-step explanation:
breadth = 21 m
length = 63 m
w = 21 feet
l = 63 feet
Step-by-step explanation:l = 3w
P = 2(l + w)
168 = 2(l + w) : 2
84 = l + w
replace l
84 = 3w + w
4w = 84
w = 84 : 4
w = 21 feet
l = 3w
l = 3×21 feet
l = 63 feet
f(x)=−x−4, find f(-2)
By evaluating the function in x = -2, we will get:
f(-2) = -2
How to find f(-2)?To do that, we need to evaluate the given linear equation:
f(x) = -x - 4
We want to find f(-2), so we need to evaluate the linear equation in x = -2, this means that we just need to replace the variable by the corresponding number.
Then we will get:
f(-2) = -(-2) - 4
f(-2) = +2 - 4
f(-2) = -2
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Solve the equation for the given variable.
-2 (x + 6) = 8
Answer:
x = -10
Step-by-step explanation:
-2 (x + 6) = 8
-2x + -12 = 8
+12 +12
-2x = 20
÷ -2 ÷ -2
x = -10
What is the answer to
f(x)=400(1/2)^4x
Answer:
25x
Step-by-step explanation:
40. Four years ago, the age of Gopal was thrice the age of Ram. After 4 years, the age of Gopal would be
the age of Ram. Find their present ages.
gopal:44
ram:112
i think, i hope
A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. \( 87,87,215,154,288,235,231 \) Find the median number of newspapers sold.
The median number of newspapers sold over seven weeks is 223.
The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.
The formula for the median is as follows:
Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)
We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288
The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.
Median = (215 + 231)/2
= 446/2
= 223
In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.
Hence, the median number of newspapers sold over seven weeks is 223.
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Which of the following would be the most appropriate unit to measure the volume of iced tea in a glass?
A. kilogram
B. fluid ounce
C. inches
D. gallon
Answer:
B. fluid ounce
Step-by-step explanation:
Just do this as a process of elimination if you're not sure. A glass isn't very big, so gallons wouldn't be the most appropriate. Same thing for kilograms. Inches could work quite well, but fluid ounces are even better as they specifically measure liquids, therefore why it would be the most appropriate.
However, keep in mind that they could all be used to measure liquids/volumes.