Answer:
2 m.
Step-by-step explanation:
T = 8.0 s is the period of the pendulum
g = 9.81 m/s^2 is the acceleration due to gravity
if x=2 and t=4 what is the value of 1/8 (x^3 - 4) (t^2 + 8)?
Answer:
12
Step-by-step explanation:
Finding the 'value' means we need to calculate a number answer.
1/8 (x^3 - 4) (t^2 + 8)
Fill in 2 for x and 4 for t.
=1/8(2^3 - 4)(4^2 + 8)
inside of parenthesis we'll work on exponents first.
= 1/8 (8 - 4) (16 + 8)
Still inside of parenthesis, do the subtracting or adding next.
= 1/8 (4) (24)
This is all multiplying.
= 12
if 200 group rooms are reserved and only 160 are ultimately occupied, the pick-up rate is group of answer choices 60% 70% 80% 90%
The pick-up rate in this scenario would be 80%. This is calculated by dividing the number of rooms occupied (160) by the number of rooms reserved (200), and then multiplying by 100 to get a percentage. So, (160/200) x 100 = 80%. This means that 80% of the reserved rooms were ultimately occupied.
It's important to note that a pick-up rate of 80% is generally considered to be a good result in the hospitality industry. It indicates that the hotel was able to accurately predict the number of rooms that would be needed by the groups, and that the groups themselves followed through on their reservations. A lower pick-up rate could suggest that the hotel overestimated demand, or that some of the groups cancelled their bookings at the last minute. On the other hand, a higher pick-up rate could indicate that the hotel was too conservative in its initial estimates, or that some of the groups requested additional rooms after the initial reservation was made. Ultimately, the pick-up rate is a useful metric for assessing the accuracy of a hotel's forecasting and planning processes.
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Simone’s mom brought two 32-ounce containers of coleslaw. At the end of the picnic, 1/4 of the containers of coleslaw remained. How many ounces of coleslaw is remaining? Show your work.
Answer:
55 ounces
Step-by-step explanation:
whats the missing length indicated?!? help!!
Answer:
A) 27
Step-by-step explanation:
\( \frac{16}{16 + 12} = \frac{63 - ?}{63} \)
➡️ \( \frac{4}{7} = \frac{63-? }{63}\)
➡️ \(63 - ? = 36\)
➡️ \(? = 27\)
f(x)=2x-3
g(x)=x-2
find f(x+3 )- g(x+3)
Answer:
x + 2
Step-by-step explanation:
f(x + 3) - g(x + 3)
= 2(x + 3) - 3 - (x + 3 - 2)
= 2x + 6 - 3 -(x + 1)
= 2x + 3 - x - 1
= x + 2
A baker has 12 pounds of almonds. She puts them in bags, so that each bag has the same weight.
Answer:
2x6 and 6x2
Step-by-step explanation:
because 12/6 gets you 2 and 6x2 equals 12
Answer:
2
Step-by-step explanation:
Clarie and Tyler thought about 12 divided by 6 because if you thought how much weight would give me 12?, You would think you need to divide to know that and if you multiply 2x6 it gives you the product of 12 so 12 divided by 6 is 2 therefore the missing number is 2.
A regional airport, community college, and city hall building are located at the vertices
of a right triangle formed by three roads. The airport and the city hall are 10 miles apart.
The distance between the airport and the community college is 8 miles, and the distance
between the city hall and the community college is 6 miles,
A service road will be constructed from the main entrance of the community college to
the road that connects the airport and the city hall. What is the shortest possible length
for the service road Round your answer to the nearest tenth,
Answer:
Aye My Guy You Got The Answer Yet Lol
Step-by-step explanation:
I don’t knowwwwww please help
Step-by-step explanation:
the key are always the 2 numbers in the middle.
you add number 2 to number 1 and put the result on top.
and you subtract number 2 from number 1 and out that result at the bottom.
starting with the example 3, -10 :
3 + -10 = 3 - 10 = -7 (goes on top).
3 - - 10 = 3 + 10 = 13 (goes at the bottom)
5, -3
5 + -3 = 5 - 3 = 2 (top)
5 - -3 = 5 + 3 = 8 (bottom)
18, ...
here we have the answers and need to find the original number.
let's call the missing number x.
I think 58 was put by you there and was originally empty. because 58 is not fitting to 22 below.
so,
18 - x = 22
x = 18 - 22 = -4
the missing number in the middle is -4.
and so the top is
18 + -4 = 18 - 4 = 14
two empty spots in the middle.
let's call the 2 missing numbers there x and y.
because the top and bottom numbers are given, we know :
x + y = -4
x - y = 8
x = y + 8
and we use this in the first equation :
y + 8 + y = -4
2y + 8 = -4
2y = -12
y = -6
x = y + 8 = -6 + 8 = 2
so, the 2 middle numbers from left to right are 2 and -6
The state of Colorado is 3 centimeters long and 4 centimeters wide on a map. A cartographer wants to use a scale factor of 1.5 to enlarge the map. What is the area of the enlarged map?
42 cm2
27 cm2
21 cm2
18 cm2
Answer:
27 cm^2
Step-by-step explanation:
Each dimension of the original map will be multiplied by 1.5 to get the dimensions of the new map because the cartographer intends to extend it by a scale factor of 1.5. The new map will therefore measure 3 * 1.5, or 4.5 centimetres, long and 4 * 1.5, or 6 cm wide.
We multiply the length by the width of the enlarged map to determine its area:
27 square centimetres are equal to 4.5 cm x 6 cm.
Consequently, the expanded map has a 27 square centimetre surface area.
Hope it helps! : )
The area of the enlarged map is 27 squared cm. Thus, the correct answer is option B.
Given that the state of Colorado is 3 cm long and 4 cm wide on the original map.
Using the scale factor of 1.5 to determine the new dimensions:
Length of enlarged map = 3 cm × 1.5
= 4.5 cm
Width of enlarged map = 4 cm × 1.5
= 6 cm
Now, we can calculate the area of the enlarged map using the new dimensions:
Area of enlarged map = Length × Width
= 4.5 cm × 6 cm
= 27 cm²
Therefore, the area of the enlarged map is 27 squared cm.
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Because a p-value of zero, while theoretically possible is effectively impossible, a p-value of .00000 is written as
A. < .01
B. 0.01
C. ~ .00000
D. Approximately .00000
E. All of the above
F. none of the above
The p-value of zero, while theoretically possible is effectively impossible, a p-value of .00000 is written as is
option A, "< .01".
It is important to first understand what a p-value represents. A p-value is a statistical measure that indicates the likelihood of obtaining the observed results of a study or experiment by chance, assuming that there is no true effect or difference between groups.
In hypothesis testing, a p-value of less than .05 (or .01, depending on the level of significance chosen) is typically considered to be statistically significant, indicating that the observed results are unlikely to be due to chance alone.
However, a p-value of exactly zero is not possible, as it would mean that the observed results are absolutely certain and could not have occurred by chance. Therefore, a p-value of .00000 (or any other extremely small value) is typically reported as "< .01" or something similar, indicating that the p-value is less than the chosen level of significance (in this case, .01).
Therefore, option A, "< .01", is the most accurate way to represent a p-value of .00000. The other options are either not precise enough (B and D), or incorrect (C and F).
A p-value of exactly zero is impossible, and a p-value of .00000 (or any other extremely small value) is typically reported as "< .01" to indicate that it is less than the chosen level of significance.
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4. A submarine is traveling a 375 feet below sea leven
rises183 feet and then dives 228 feet if the subm
come safely to the surface at 30 feet per second how many seconds will it take to reach the surface?
97
The submarine will take 14 seconds to safely reach the surface.
What is Speed?Speed is a measure of how quickly an object is moving, calculated as the distance traveled per unit time.
The submarine rises 183 feet, which means its depth decreases by 183 feet. Therefore, its depth is now 375 - 183 = 192 feet below sea level.
The submarine then dives 228 feet, which means its depth increases by 228 feet. Therefore, its depth is now 192 + 228 = 420 feet below sea level.
To reach the surface, the submarine needs to ascend a distance of 420 feet.
The speed of the submarine is given as 30 feet per second. Therefore, the time it will take for the submarine to reach the surface can be calculated as:
\(Time = \frac{Distance}{Speed} = \frac{420}{30}\)
= 14 seconds
Therefore, it will take the submarine 14 seconds to safely reach the surface.
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Please explain the law of detachment and the law of syllogism.
Please also give 1 example for each law.
Law of Syllogism
The law of syllogism, also called reasoning by transitivity, is a valid argument form of deductive reasoning that follows a set pattern. It is similar to the transitive property of equality, which reads: if a = b and b = c then, a = c.There are also three parts involved in the law of syllogism, and each of these parts is called a conditional statement. A conditional statement has a hypothesis, which follows after the word if, and it has a conclusion, which follows after the word then. A letter is used to represent each phrase of the conditional statement. Let me introduce the pattern, and then we can look at some examples. Statement 1: If p, then q. Statement 2: If q, then r. Statement 3: If p, then r. Statements 1 and 2 are called the premises of the argument. If they are true, then statement 3 must be the valid conclusion.Law of Detachment
The law of detachment states that if a conditional statement is true and its antecedent is true, then the consequence must also be true.There are endless examples both in mathematics and beyond of the law of detachment. One example is a coffee shop that gives a free drink to every 25th customer. As a conditional statement, this is “If someone is the 25th customer, then they get a free drink. ”Thus, if you are the 25th customer, you know you will get a free drink. Likewise, if your friend is the 25th customer, you know he will get a free drink.Sources: https://www.storyofmathematics.com/law-of-detachment/
https://study.com/academy/lesson/law-of-syllogism-in-geometry-definition-examples.html
Refer to the attachment
i need the standard form of seventy billion nine hundred milion sixty Thousand seven thousebth eight hundred ninty nine and one three
Answer:
7e+10 + 9e+8 + 6.7e+4 + 8.99 × 10 to the power of 2 + 1/3.
Step-by-step explanation:
What are the values of x 2x 2 4x 7?
The values of x for the given quadratic equation 2x² = 4x - 7
are given by:
\(x = \frac{2 +i\sqrt{10} }{2}\)
\(x = \frac{2 -i\sqrt{10} }{2}\)
What is the solution of a quadratic equation?
The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations.
According to the given question:
For this case we have the following quadratic equation:
2x² = 4x - 7
Rewriting the equation we have:
2x² - 4x + 7 = 0
From here, we have:
a = 2b = -4c = 7
Substituting values in the quadratic equation we have:
x = (-b ± √b² - 4ac)/2a
x = (-(-4) ± √(-4) - 4(2)(7)/2(2)
Rewriting the equation we have:
x = (4 ± √16 - 56)/4
x = (4 ± √-40)/4
x = (2 ± i√10)/2
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What’s 125+500 add up
To sum the given numbers:
1. Add the units digits: 5+0 = 5
2. Add the tens digits: 2+0=2
3. Add the hundreds digits: 1+5=6
Then, s 125+500 add up 625
i cant seem to understand this. please explain :))
(business math)
Answer:
$1.50 bro
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Using the chart, it shows the total amount that the retailer (the chip company) spends to make each bag of chips. We're looking at the $3 chip bag, so looking we can see that it costs the company $1.00 for each bag. If it costs $1 to make and it sells for $3, the profit is $2. This chart makes it easy because it calculates the total charts for you.
f(x) = -2(x + 1) + 4
Find f(-4)
A. -2
B. 14
C. -10
D. 10
Answer:
c
Step-by-step explanation:
a landscape architect wishes to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three sides by a metal fence costing $10/ft. if the area of the garden is 8 square feet, find the dimensions of the garden that minimize the cost.
the dimensions of the garden that minimize the cost are L = 2 ft and W = 4 ft.Let the length of the rectangular garden be L and the width be W. Then, the area of the garden is given as L x W = 8.
The cost C of enclosing the garden is given by:
C = 20L + 10(2L + W)
Substituting the value of W from the area equation, we get:
C = 20L + 10(2L + 8/L)
Differentiating C with respect to L and equating it to zero to find the minimum cost:
dC/dL = 20 + 20 - 80/L^2 = 0
Solving for L, we get L = 2 ft
Substituting L = 2 in the area equation, we get:
W = 4 ft
Therefore, the dimensions of the garden that minimize the cost are L = 2 ft and W = 4 ft.
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AYÚDENME PORFAVOR! 90puntos!!!!!
Answer:
See below
Step-by-step explanation:
1. ..................................
PR = 5.8 - 3.7 = 2.1 mm2. ..................................
EF = 2.5 + 2.8 = 5.3 pulg.3. ..................................
JL = 0.75 + 0.35 = 1.1 cm4. ..................................
HJ = 12.2 - 3.1 = 9.1 pies5. ..................................
AC = 0.4 + 1.6 = 2 m6. ..................................
SV = 4.1 - 2.6 = 1.5 pulg.7. ..................................
NQ = 1 + 1 1/4 = 2 1/4 pulg.8. ..................................
AC = 4.9 + 5.2 = 10.1 cm9. ..................................
GH = 15 - 9.7 = 5.3 mmthey are inches therefore it is easier
There are 239 people in the first 6 rows of a movie theater. If the same number of people are in the next 6 rows, about how many people are in the next 12 rows?
IUITUI Rauuild Ivoiribers Select the number line that shows that two opposite numbers have a sum of 0. 5 O A. -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 2 OB. + 8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 6 11 C. -8 -7 -6.-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 O D. PREVIOUS
It's important to know that the sum of two opposite numbers is zero because opposite numbers have the same absolute value but opposite sign, for example, 2 and -2 are opposite numbers.
The correct number line must have its final position on zero.
Notice that the number line A shows -5 as the initial number and then goes back 5 units to zero.
Therefore, the answer is A.Consider the following T bills:
Maturity Bid Ask
8-2 6.36 6.20
8-16 6.42 6.26
The T bills maturing August 2nd (8-2) are being offered at par
a. less a discount to yield 6.20%
b. plus a premium to yield 6.20%
c. less a discount to yield 6.36%
d. plus a premium to yield 6.36%
The correct answers are:
a. less a discount to yield 6.20%
d. plus a premium to yield 6.36%
Based on the provided information, the T bills maturing on August 2nd (8-2) are being offered at a bid yield of 6.36% and an ask yield of 6.20%.
To determine whether the T bills are being offered at a discount or a premium, we compare the bid yield and ask yield to the stated yields.
a. To yield 6.20% (ask yield), the T bills are being offered at a discount. Therefore, option a. "less a discount to yield 6.20%" is correct.
b. To yield 6.20%, the T bills are not being offered at a premium. Therefore, option b. "plus a premium to yield 6.20%" is incorrect.
c. To yield 6.36% (bid yield), the T bills are not being offered at a discount. Therefore, option c. "less a discount to yield 6.36%" is incorrect.
d. To yield 6.36%, the T bills are being offered at a premium. Therefore, option d. "plus a premium to yield 6.36%" is correct.
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Find the function which is parallel to y = 2x + 9.
5x-2y=8
O 7x+2y = 14
4y - 8x = 24
All of the choices
Answer:
4y - 8x = 24
Step-by-step explanation:
4y -8x = 24 Add 8x to both sides
4y = 8x + 24 Divide both sides by 4
y = 2x + 6
This slope is 2 which would great a line parallel to y = 2x + 9
Desmos is a free program that can help you graph. See the picture below. You just type in the equation and it graphs it for you. Cool
3. The table shows the linear relationship between the balance of a student's savings account and the number of weeks she has been saving. Savings Account Week 0 1 2 4 7 12 Balance (dollars) 24 32 40 56 80 120 Based on the table, what was the rate of change of the balance of the student's savings account in dollars and cents per week?
The number of weeks are 0 1 2 4 7 12
The balances are 24 32 40 56 80 120
The rate of change of the balance of the student's savings account in dollars and cents per week is also referred to as the slope of the graph that can be potted with these values. The formula for slope is expressed as
Slope = (y2 - y1)/(x2 - x1)
y1 and y2 would be consecutive values of the balance
x1 and x2 would be consecutive values of the number of weeks
When x1 = 0, y1 = 24
When x2 = 1, y1 = 32
Slope = (32 - 24)/(1 - 0)
Slope = 8
The rate of change of the balance of the student's savings account in dollars and cents per week is 8 dollars per week. Converting to cents, it would be 800 cents per week
select the appropriate reagents for the transformation at −78 °c.
For the transformation at -78 °C, appropriate reagents include lithium aluminum hydride (LiAlH4) and diethyl ether.
What reagents are suitable for -78 °C transformations?At -78 °C, certain chemical reactions require the use of specific reagents to achieve the desired transformation. One commonly used reagent is lithium aluminum hydride (LiAlH4), which acts as a strong reducing agent. It is capable of reducing various functional groups, such as carbonyl compounds, to their corresponding alcohols.
Diethyl ether is typically employed as a solvent to facilitate the reaction and ensure efficient mixing of the reactants. Researchers often utilize this low temperature for reactions involving sensitive or reactive intermediates, as it helps control the reaction and prevent unwanted side reactions.
The use of LiAlH4 and diethyl ether provides a reliable combination for achieving the desired transformation at this temperature, enabling chemists to manipulate and modify compounds in a controlled manner.
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What is the fractional equivalent of 34%?
A) 17/200
B) 35/10
C) 17/50
D) 35/1
Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, express x, y, z, and w in terms of the parameters t and s.)
4x + 12y-7z-20w = 26
3x + 9y-5z-28w = 36
(x, y, z, w)
The solution of the given system of equations is as follows:
x = x y = y z = -4/3x - 10/9y + 68/27
w = -1/147
Let's solve the given system of equations:
4x + 12y - 7z - 20w = 263x + 9y - 5z - 28w = 36
Divide the first equation by 4 and the second equation by 3 we have:
x + 3y - 7/4z - 5/2w = 26/43x + 3y - 5/3z - 28/3w = 12
Now, multiply the first equation by 3 and subtract from the second equation:
3(1x + 3y - 7/4z - 5/2w = 26/4)3x + 3y - 21/4z - 15/2w = 39/4- (3x + 3y - 5/3z - 28/3w = 12)1/3z + 11/3w = 7/4
Now, solve for z:
z = 21w - 28/3By substituting the value of z in terms of w in the first equation we get:
1x + 3y - 7/4(21w - 28/3) - 5/2w = 26/4x + 3y - 147/4w + 7 = 13/2
Multiply both sides by 2, and we get:2x + 6y - 147/2w + 14 = 13
Therefore,2x + 6y - 147/2w = -1/2
Now, solving for w:{147}/{2w}= {-1}/{2}
w = -1/147
By substituting the value of w in the equation x + 3y - 7/4z - 5/2w = 26/4, we get:
1x + 3y - 7/4z - 5/2(-1/147) = 26/4x + 3y - 7/4z + 5/294 = 13/12
Multiplying both sides by 12, we get:12x + 36y - 21z + 5 = 39
Now, solve for z:
z = -{4}/{3}x - {10}/{9}y + {68}/{27}
Hence, the solution of the given system of equations is as follows:x = x y = y z = -4/3x - 10/9y + 68/27w = -1/147
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The difference of two positive numbers is 13. The larger number is nine less than twice the smaller number. Find
the numbers.
The numbers are
This is solution.
Click on the photo to view full solution.
(NO LINKS, HELP ASAP!) Ill give brainliest to decent answer and 20+ points. !!
Wilson did a survey to find the average shoe size of the students in his class. He asked the following question:
What is the shoe size of the tallest student in the class?
Is Wilson's question a statistical question, and why or why not?
A) No, because it does not anticipate variability in students' shoe sizes
B) No, because it does not ask a question that can be answered correctly
C) Yes, because it asks a question that can be answered correctly
D) Yes, because it anticipates variability in students' shoe sizes
Answer:
A
Step-by-step explanation:
A statistical question is that question which can have different answers. Like - what is the height of girls in a class?
Here, Wilson's question will have only one answer as the show size is a simple number. A tallest student will be only one, nut mutiple different answers, so the answer is A!
Answer:
A) No, because it does not anticipate variability in students' shoe sizes
Step-by-step explanation:
he is asking the shoe size for only the tallest kid in the class, you cant base the average of the class off of the tallest kid you have to ask multiple people their shoe sizes.
Write the perimeter of a rectangle in simplified form.
The length is 7x + 1 and the width is x - 3
Answer:
16x - 4
Step-by-step explanation:
A rectangle have two identical length and two identical width, so to get the perimeter
Two identical length + two identical width = perimeter
2(7x+1) + 2(x-3)
( remember to multiply everything inside the bracket with the 2)
= 14x +2 +2x - 6
= 16x - 4