Answer:
4500 + 150.25s = 3696 + 200.5s Solve for s 4500 - 3696 = 200.5s - 150.25s 804 = 50.25s s = 804/50.25 = 16 tons of sugar The cost is found by plugging this value into either side of the original equation; it is $6904.
Step-by-step explanation:
Answer:
a) They would cost the same with 16 tons of sugar.
b) This would cost 9 108 dollar.
Step-by-step explanation:
! This is only true if the amount of rented trucks remains the same no matter what amount of sugar ! ( Which is really weird but ok.)
a) x= tons of sugar
=>7500+100,50X=6296+175,75X
<=> 75,25x=1204
<=> x=16
b) 7500+100,50.16=9108
21.18 - 17.92 rounded to the nearest whole number
Answer:
3
Step-by-step explanation:
21.18-17.92=3.26
Rounded its 3
A figure is shown.
What is the measure of ZA, in degrees?
Answer:
THE answer to this is 58.9 as it is the result of 180-121.1Please, I would appreciate it!
Also, if you can try to check our educational channel called Evimero Academy
Answer:
A = 58.9 degrees
Step-by-step explanation:
straight line angles add up to 180 degrees
121.1 + A = 180
A = 180 - 121.1
A = 58.9 degrees
A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 10 minutes, and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 12 minutes. A. What equation can you use to find the distance of the flowerbed from the hive? B. How far is the flowerbed from the hive?
Answer:
d/10 + 600 + d/6 = 720
450 fts
Step-by-step explanation:
Given that:
Speed from hive to flowerbed = 10 ft/s
Time used in flowerbed = 10 minutes
Speed from flowerbed to hive = 6ft/s
Total time at which bee is away from hive = 12 minutes
Equation to find distance of flowerbed from hive :
Let distance from hive to flowerbed = d
Time taken = distance / speed
Time taken from hive to flowerbed = d/ 10
Time used in flowerbed = 10 minutes = (10 * 60) = 600 seconds
Time taken from flowerbed to hive = d/6
Total time away from hive = 12 mins = (12 * 60) = 720 seconds
A. What equation can you use to find the distance of the flowerbed from the hive?
Distance can be obtained from the formula :
d/10 + 600 + d/6 = 720
B. How far is the flowerbed from the hive?
d/10 + 600 + d/6 = 720
Take L. C. M of 10 and 6 = 30
(3d + 18000 + 5d) = 21600
8d + 18000 = 21600
8d = 21600 - 18000
8d = 3600
d = 3600/8
d = 450
Distance of flowerbed from hive = 450 fts
Model Real Life The Elephant
Building is 335 feet high. A real
Asian elephant is 12 feet tall. If
29 real elephants could stand on
top of each other, would they reach
the top of the building?
Answer:
Yes
Step-by-step explanation:
The Elephant Building is 335 feet high. A real Asian elephant is 12 feet tall. If 29 real elephants could stand on top of each other, would they reach the top of the building?
They are asking if 29 12' elephants are as tall as as a 335' building:
29 × 12' = 348' elephant stack
because 348' is taller than 335' building then yes, 29 staked elephant would reach and pass the top of a 335' building.
A tortoise and hare start from rest and have a race. As the race begins, both accelerate forward. The hare accelerates uniformly at a rate of 1 m/s
2
for 4.8 seconds. It then continues at a constant speed for 12 seconds, before getting tired and slowing down with constant acceleration coming to rest 85 meters from where it started. The tortoise accelerates uniformly for the entire distance, finally catching the hare just as the hare comes to a stop. 4) What is the acceleration of the hare once it begins to slow down? See solution m/s
2
You currently have 3 submissions for this question. Only 12 submission are allowed. You can make 9 more submissions for this question. 5) What is the total time the hare is moving? See solution 5 6) What is the acceleration of the tortoise? See solution m/s
2
The acceleration of the hare, once it begins to slow down, is \($\frac{-11.52 - 12v_{\text{hare2}} + 85}{6}$\)\(m/s$^2$\), the total time the hare is moving in \($4.8 + 12 + t_{\text{hare3}}$\) seconds, and the acceleration of the tortoise \(($a_{\text{tortoise}}$)\) is to be determined.
To solve the problem in detail:
Hare's initial acceleration \(($a_{\text{hare1}}$) = 1 m/s$^2$\)
Hare's acceleration after constant speed \(($a_{\text{hare2}}$) = ?\) (to be determined)
Hare's time of constant speed \(($t_{\text{hare2}}$) = 12 s\)
Hare's final displacement \(($s_{\text{hare}}$) = 85 m\)
Step 1: Finding the hare's acceleration once it begins to slow down.
Using the equation of motion, we can determine the acceleration:
\(\[s_{\text{hare}} = v_{\text{hare1}} \cdot t_{\text{hare1}} + \frac{1}{2} \cdot a_{\text{hare1}} \cdot t_{\text{hare1}}^2 + v_{\text{hare2}} \cdot t_{\text{hare2}} + \frac{1}{2} \cdot a_{\text{hare2}} \cdot t_{\text{hare2}}^2\) \\\(85 = 0 + \frac{1}{2} \cdot 1 \cdot (4.8)^2 + v_{\text{hare2}} \cdot 12 + \frac{1}{2} \cdot a_{\text{hare2}} \cdot (12)^2\]\)
Solving for \($a_{\text{hare2}}$\), we get:
\(\[a_{\text{hare2}} = \frac{-11.52 - 12v_{\text{hare2}} + 85}{6}\]\)
Step 2: Finding the total time the hare is moving.
The total time the hare is moving is the sum of the time for acceleration \(($t_{\text{hare1}}$)\), time at a constant speed \(($t_{\text{hare2}}$)\), and the time to decelerate to rest \(($t_{\text{hare3}}$)\):
\(\[t_{\text{total hare}} = t_{\text{hare1}} + t_{\text{hare2}} + t_{\text{hare3}}\]\)
\(\[t_{\text{total hare}} = 4.8 + 12 + t_{\text{hare3}}\]\)
Step 3: Finding the acceleration of the tortoise.
The tortoise accelerates uniformly for the entire distance, so its acceleration \(($a_{\text{tortoise}}$)\) is constant.
Therefore:
The acceleration of the hare, once it begins to slow down, is \($\frac{-11.52 - 12v_{\text{hare2}} + 85}{6}$\)\(m/s$^2$\).The total time the hare is moving is in \($4.8 + 12 + t_{\text{hare3}}$\) seconds.The acceleration of the tortoise \(($a_{\text{tortoise}}$)\) is to be determined.Learn more about acceleration: https://brainly.com/question/25876659
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A lifegaurd recieved 15 hours of training 10 hours of first aid trainning and 10 cardioplumary resurection what is the ratio
Answer:
10/15 ten over 15 like a fraction you need to simplify that to 2/3 two over threep explanation:
a die is rolled 36 times and the number of even numbers is counted. convert the above box for rolling a die to a 0-1 box for counting only the even numbers. (assume you still have 6 tickets in the box.) how many 0's? 3 how many 1's?
The range from 1-6 has 3 even numbers and 3 odd numbers.
Define range.The difference between a collection of numbers' highest and lowest values is known as the range. Subtract the distribution's lowest number from its greatest number to determine it. Range is a statistical measure of dispersion in mathematics, or how widely spaced a given data collection is from smallest to largest. The range in a piece of data is the distinction between the highest and lowest value. You must collect your data, sort it from least to greatest, and then subtract the smallest value from the largest value to get the range in a set of integers. A variety of positive and negative numbers are available.
Given,
A die is rolled 36 times and the number of even numbers is counted.
1) The range from 1-6 has 3 even numbers and 3 odd numbers.
2) Each time the die is rolled, there are 36 draws.
3) 0-1 box average = 0.5
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Simplify the expression below. 12x+4−7x
Answer:
5x+4
Step-by-step explanation:
Combine like terms: 12x+4-7x
Notice that the 7 is being subtracted, as it's negative
12x+4−7x
5x + 4
answer is 5x + 4
A person accepts a position with a company at a salary of \( \$ 34,000 \) for the frat year, The person is guaranteed a raise of \( \$ 1850 \) per year for the first 6 years. Determine the person's to
The person's total salary over the first 6 years is $231,750.
To determine the person's total salary over the first 6 years, we need to calculate the sum of the salary for each year.
Given information:
- Initial salary: $34,000
- Annual raise: $1,850
- Number of years: 6
To calculate the total salary, we can use the arithmetic progression formula:
[ S = frac{n}{2} left(2a + (n - 1)dright) ]
Where:
- ( S ) is the sum of the salaries
- ( n ) is the number of terms (years)
- ( a ) is the first term (initial salary)
- ( d ) is the common difference (annual raise)
Substituting the given values, we have:
[ S = frac{6}{2} left(2(34000) + (6 - 1)(1850)right) ]
Simplifying the expression:
[ S = 3 left( 68000 + 5 times 1850 right) ]
[ S = 3 left( 68000 + 9250 right) ]
[ S = 3 times 77250 ]
[ S = 231750 ]
Therefore, the person's total salary over the first 6 years is $231,750.
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(a) Write an expression for a Riemann sum of a function f on an interval [a, b]. Explain the meaning of the notation that you use.
(b) If f(x)⩾ 0, what is the geometric interpretation of a Riemann sum? Illustrate with a diagram.
(c) If f(x) takes on both positive and negative values, what is the geometric interpretation of a Riemann sum? Illustrate with a diagram.
(a) The expression for a Riemann sum of a function f on an interval [a, b] is Δx = (b-a)/n
(b) If f(x)⩾ 0, then the geometric interpretation of a Riemann sum is infinity
(c) If f(x) takes on both positive and negative values, then the geometric interpretation of a Riemann sum is infinity
Riemann sums are an important tool in calculus for approximating the area under a curve. They are used to estimate the value of a definite integral, which represents the area bounded by the curve and the x-axis on a given interval. In this explanation, we will discuss the expression for a Riemann sum, its notation, and its geometric interpretation.
(a) Expression for a Riemann sum:
A Riemann sum is an approximation of the area under a curve using rectangles. We divide the interval [a, b] into n subintervals, each of length Δx=(b−a)/n. The notation used to represent this is:
Δx = (b-a)/n
(b) Geometric interpretation of a Riemann sum when f(x)⩾ 0:
If f(x) is always non-negative, the Riemann sum represents an approximation of the area between the curve and the x-axis on the interval [a, b].
Each rectangle has a positive area, which contributes to the overall area under the curve. The sum of the areas of the rectangles approaches the true area under the curve as the number of subintervals n approaches infinity.
(c) Geometric interpretation of a Riemann sum when f(x) takes on both positive and negative values:
When f(x) takes on both positive and negative values, the Riemann sum represents the net area between the curve and the x-axis on the interval [a, b].
Each rectangle may have a positive or negative area, depending on the sign of f(xi).
The positive areas represent regions where the curve is above the x-axis, and the negative areas represent regions where the curve is below the x-axis.
In conclusion, Riemann sums are used to approximate the area under a curve on an interval [a, b]. The expression for a Riemann sum involves dividing the interval into n subintervals and approximating the area under the curve using rectangles.
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a square with side length 2 and a circle share the same center. the total area of the regions that are inside the circle and outside the square is equal to the total area of the regions that are outside the circle and inside the square. what is the radius of the circle?
The radius of the circle which is overlapping the square is 1.12.
The length of side of the square is 2. Let us say that the radius of the circle is R.
The circle and the square are overlapping on each other.
The area of the region that are outside the circle but inside the square are equal to the area of the region which are inside the circle but outside the square.
Let us name the area of the region that are outside the circle but inside the square as M.
Let us name the area of the region which are inside the circle but outside the square as N.
Let us say that the area that is common in both is C.
The area of the square is 4.
So, according to the question,
M + C = 4
And,
N + C = πR²
And we know, M = N,
So,
C - πR² = C - 4
R = 2/√π
R = 1.12.
So, the radius of the circle is 1.12
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You emptied a cylindrical shark tank at the aquarium to clean it. The aquarium has a radius of 13 feet and a height of 18 feet. In cubic feet, about how much water is needed to refill the tank after cleaning?
sara draws the 8 8 of hearts from a standard deck of 52 cards. without replacing the first card, she then proceeds to draw a second card. a. determine the probability that the second card is another 8 8 .
The probability that the second card is another 8 is approximately 0.045
There are 52 cards in a standard deck, and after drawing the first card, there are only 51 cards remaining.
The probability of drawing an 8 as the first card is 4/52, since there are four 8s in the deck.
Since the first card is not replaced, there are only three 8s remaining in the deck.
Therefore, the probability of drawing another 8 as the second card, given that the first card is an 8 and was not replaced, is 3/51.
Thus, the probability that Sara draws the 8 of hearts as the first card and another 8 as the second card is
(4/52) x (3/51) = 0.0045
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The given question is incomplete, the complete question is:
Sara draws the 8 of hearts from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card. a. Determine the probability that the second card is another 8
What would be the best first step to solving the equation? -3=x+5
\(ANSWER:\) BRAINLIEST
The first step is: PLEASE
Change the order of the terms.
Let me show you what I am talking about.
x's (variables) must be on one side of the equation and constants on the other.
Be sure to use the opposite operation!
-x=5+3
Hope it helps! :)
Step-by-step explanation:
*\(GraceRosalia\)
Builtrite has calculated the average cash flow to be $14,000 with a standard deviation of $5000. What is the probability of a cash flow being between than $16,000 and $19,000 ? (Assume a normal distribution.) 16.25% 18.13% 23.90% 2120%
The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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NEED HELP ON THIS PLEASEEEEEEEEEEE
Answer: i am a 7th grade child and i dont know an idea of how to solve this..... just kidding but its b :) hopefully this will help u
Step-by-step explanation:
Solve for x
Help please
Answer:
a)4√3Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDAStips and formulas:tan(60°)=√3tan(a)=opp/adjlet's solve:\( \sf substitute \: the \: value \: of \: \tan( {60}^{ o} ) : \\ \sqrt{3} = \frac{x}{4} \)\( \sf cross \: multipication : \\ \therefore \: x = 4 \sqrt{3} \)Write the other side of this equation so that this equation
is true for ALL values of u.
6(u-2)+2 =
Answer: 6(u-2)+2=6u-10
Step-by-step explanation:
Then, any value of u makes the equation true.
The other side of this equation 6 (u-2) + 2 is 6u - 10 and is true for all values of u.
What is equation?An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
6 (u-2) + 2
Simplify the above expression as shown below,
6 × u - 6 × 2 + 2 (Use distributive property)
6u - 12 + 2 (Add constant terms)
6u - 10
Thus, 6 (u-2) + 2 = 6u - 10
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Help help help help help
Answer:
1: No Solutions
2:Infinite solutions
3: One Solution
Step-by-step explanation:
Desmos screenshots show solutions for simplified equations
randy needs to save 2550$ for a vacation. he has 6 months to save the money. how much money must he save each month?
Answer:
425
Step-by-step explanation:
2550/6=425
Answer:
425
Step-by-step explanation:
f(1) = -6
f(2) = -4
f(n) = f(n − 2) + f(n − 1)
f(3) =
Answer:
-10
Step-by-step explanation:
f(n)= f(n-2)+f(n-1)
• Put n = 3
=> f(3) = f(3-2) + f(3-2)
=> f(3) = f(1) + f(2)
=> f(3) = -6 + -4
=> f(3) = -10
Answer:
it in a file here
Step-by-step explanation:
xycba.com/file
The ratio of the measures of the angles in angles JKH is 2:3:4.
Answer:
J=40º, K=60º, H=80º
Step-by-step explanation:
since all angles of a triangle add up to 180º, we can make an eqaution.
3x+2x+4x=180
9x=180
x=20
J=2x=20x2=40º
K=3x=20x3=60º
H=4x=20x4=80º
Which algebraic expression represents the phrase "seven more than half of a number
0 7-1/2x
0 -7+ 1/2x
o 1/2x + 7
0 -1/2x + 7
Answer:
1/2x + 7
Step-by-step explanation:
Answer:
Step-by-step explanation:
7 more will be 7+
half of a number, let number be x, that will be x/2
1/2 x+7
Complete the table with the lengths of sides XY and YZ .
Consider this figure.
• Lines M and N are parallel.
XA=15 inches
XZ=27 inches
XB=10 inches
BA= 20 inches
Select the correct answer from each drop-down menu.
Let e(x) be the elevation, in meters, of a cable car from the ground, x minutes after it begins descending from the top
e(t) = 840 – 52.51
meters from the ground
minutes after it
Since e(14) = , the elevation of the cable car will be
from the top of the hill,
Corrected Question
e(x)=840-52.5x
Let e(x) be the elevation, in meters, of a cable car from the ground, x minutes after it begins descending from the top of a hill. Since e(14) = ?, the elevation of the cable car will be meters from the ground minutes after it begins descending from the top of the hill.
Answer:
e(14) =105 meters
Elevation of the cable car 14 minutes after it begins descending from the top of the hill= 105 meters from the ground
Step-by-step explanation:
Given the elevation, e(x) in meters, of a cable car from the ground , x minutes after it begins descending from the top of a hill.
e(x)=840-52.5x
e(14)=840-52.5(14)
e(14)=840-735
e(14)=105 meters
Since e(14) =105 meters, the elevation of the cable car will be 105 meters from the ground 14 minutes after it begins descending from the top of the hill.
Directions:Find the unknown measurements.(Square)Area: Side:2.6m
Answer:
Area = 6. 76 square cm
Explanation
Each side of the square = 2.6 cm
Area of a square = s^2
Where s = 2.6cm
Area = 2.6^2
Area = 6.76 square cm
Therefore, the area of the square is 6. 76 square cm
what is the square root of 100
The square root of 100 is 10.
To check, solve 10 x 10.
Hope this helps! Please mark me as brainliest!
Have a great day!
Find the missing base.
Write your answer as a whole number.
?^2=36
Answer:
6
Step-by-step explanation:
6^2 = 36
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have a miraculous day!! <3
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 19.6 feet
Step-by-step explanation:
Using the Pythagorean theorem,
\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)
Help me please i’ll give brainliest!