in your calculator, type in 18.25/6.
My water bottle was fully filled then I drank 40% of it. In this situation "y" is the amount of water remaining and " x" is the amount of water that I had at the start. Mark all the equations that represent the situation
Step-by-step explanation:
1.y = x * (1-0.4)
2.y = x - 0.4x
3.x = y / (1-0.4)
4.x = y + 0.4y
The equation 1 and 2 correctly represent the situation. In the first equation, we are multiplying the initial amount of water (x) with (1-0.4) which is the percentage of the water that is remaining after drinking 40% of it. In the second equation, we are subtracting 0.4x from x, which is equivalent to multiplying x by (1-0.4).
The equation 3 and 4 are not correct, as they are trying to calculate the initial amount of water from the remaining amount, but it's not possible to know the initial amount once it has been consumed.
You have 0.6X amount water remaining.
The amount of water remaining in the water bottle is X minus 40%. This means that if you had X amount of water at start you now have 60% of X left. That is, you have 0.6X amount of water remaining.
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Examine the following figures to find out the pattern. 5 figures. A figure with 3 sides, figure with 4 sides, figure with 5 sides, figure with 6 sides, figure with 7 sides. How many sides would the 10th figure in this sequence have? a. 10 sides b. 12 sides c. 13 sides d. 14 sides
HELP PLEASE AND QUICK
Answer:
B. 12 sides
Step-by-step explanation:
Correct on edge
Please help me step by step how to solve this quadratic equation 2a^2=-6+8a
The quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.
To solve the quadratic equation 2a^2 = -6 + 8a, we need to rearrange it into standard quadratic form, which is ax^2 + bx + c = 0, where a, b, and c are coefficients.
Step 1: Move all the terms to one side of the equation to set it equal to zero:
2a^2 - 8a + 6 = 0
Step 2: The equation is now in standard quadratic form, so we can apply the quadratic formula to find the solutions for 'a':
a = (-b ± √(b^2 - 4ac))/(2a)
Comparing with our equation, we have:
a = (-(-8) ± √((-8)^2 - 4(2)(6)))/(2(2))
Simplifying further:
a = (8 ± √(64 - 48))/(4)
a = (8 ± √16)/(4)
a = (8 ± 4)/(4)
Now, we can calculate the two possible solutions:
a1 = (8 + 4)/(4) = 12/4 = 3
a2 = (8 - 4)/(4) = 4/4 = 1
Therefore, the quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.
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How many different numbers can be obtained using five binary bits? A)64 B)32 C)31 D)63.
In binary representation, each bit can be either 0 or 1. Using five binary bits, we can obtain 32 different numbers. Therefore, the correct answer is (B).
With five binary bits, we have five positions, and each position can have two possibilities (0 or 1). To calculate the total number of different numbers we can obtain, we need to raise 2 to the power of the number of bits. In this case, we have \(2^5,\) which equals 32. Therefore, we can obtain 32 different numbers using five binary bits. To understand this concept, we can think of each binary bit as a switch that can be either on (1) or off (0). With five switches, we have a total of 32 different combinations or numbers that can be represented. These numbers range from 0 (all switches off) to 31 (all switches on). Therefore, the correct answer is (B), which states that we can obtain 32 different numbers using five binary bits.
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find the slope(-1,-1),(2,-2)
Answer:
\(\huge\boxed{slope=-\dfrac{1}{3}}\)
Step-by-step explanation:
The formula of a slope:
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
Substitute the coordinates of the given points (-1, -1) and (2, -2):
\(m=\dfrac{-2-(-1)}{2-(-1)}=\dfrac{-2+1}{2+1}=\dfrac{-1}{3}=-\dfrac{1}{3}\)
For a frequency polygon to display the distribution of data accurately, intervals of equal width must be used.
a) Explain why, using examples.
b) Can some of the data be left out of the frequency polygon? Justify your answer.
Answer:
\( x 2 + 4x + 4\)
Step-by-step explanation:
yes
pls help! simple question will give brainliest!
Answer:
Factor \(x^{4}\)−2401
\(x^{4}\)−2401
=(\(x^{2}\)+49)(x+7)(x−7)
Change the fraction into a decimal
\( \frac{7}{100} \)
Answer:
0.07
Step-by-step explanation:
2(2x + 3) = -5
Type your answer as a fraction
2(2x + 3) = x5
4x + 6 = -5
Solution
X= - 11/4
Answer:
x = -11/4
Step-by-step explanation:
First, you distribute.
2(2x + 3) = -5. 4x + 6 = -5.
Then, you subtract 6 from both sides of the equation
4x + 6 = -5. 4x + 6 - 6 = -5 - 6.
Simplify ( Cancel terms that are in both the numerator and denominator )
Thats how you get the answer!Help, please! I will mark you!
Answer:
It's the first one
Step-by-step explanation:
A tree casts a shadow of 15 meters, while a 2-meter post nearby casts a shadow of 3 meters. How tall is the tree
The tree is 10 meters tall.
To find the height of the tree, we can use the concept of similar triangles. The ratio of the height of the tree to the length of its shadow should be equal to the ratio of the height of the post to the length of its shadow, since they are both located in the same plane and are being illuminated by the same light source.
Let's use proportions to solve this problem. We can set up the proportion:
height of tree / length of tree's shadow = height of post / length of post's shadow
Let h be the height of the tree. Then we have:
h / 15 = 2 / 3
Cross-multiplying, we get:
3h = 30
h = 10
Therefore, the tree is 10 meters tall.
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Identify the reaction type for each generic chemical equation. a b → ab: ab → a b: hydrocarbon o2 → co2 h2o: ab cd → ad cb:
For all the given reactions there is a type name for it they are,
1. A + B → AB
2. AB → A + B
3. Hydrocarbon + O₂ → CO₂ + H₂O
4. AB + CD → AD + CB
All the above-mentioned chemical reactions are of the following types
1 → Synthesis
2 → Decomposition
3 → Combustion
4 → Replacement
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Find an equation for the line that passes through the points (-5, 2) and (3, 4)
researchers plan to take another sample of whale and cruise ship encounters in the west arm sub-region of glacier bay. assuming , if the researchers would like to ensure that the standard deviation of the sample proportion is no larger than 0.03, how many encounters would they need to include in their sample? round your answer to the nearest whole number.
The researchers would need to include at least 278 encounters in their sample to ensure that the standard deviation of the sample proportion is no larger than 0.03.
To determine the required sample size, we need to use the formula for the standard deviation of the sample proportion (σp):
\(\sigma_p = \sqrt{(p * (1 - p) / n)}\)
where:
p is the estimated proportion (we don't have this information, so we'll use 0.5 as a conservative estimate for maximum variance),
n is the sample size.
Since the researchers want to ensure that the standard deviation of the sample proportion is no larger than 0.03, we can set up the following inequality:
0.03 ≥ √(0.5 * (1 - 0.5) / n)
Squaring both sides of the inequality to eliminate the square root:
0.03² ≥ 0.5 * (1 - 0.5) / n
0.0009 ≥ 0.25 / n
Now, solve for n:
n ≥ 0.25 / 0.0009
n ≥ 277.78
Since the sample size (n) must be a whole number, the researchers would need to include at least 278 encounters in their sample to ensure that the standard deviation of the sample proportion is no larger than 0.03. Rounding up, the required sample size is 278 encounters.
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8 + 2/3(12b +15)
Who ever answers correctly I will mark brainliest
Answer:
Simplify: 8b+18
Step-by-step explanation:
Answer:
8b+15
Step-by-step explanation:
this is simplified
have a good day or night
A toy rocket is launched from the ground. The graph below shows the height of the rocket over time, x, At what height, y, does the rocket reach at 1 second
Answer:
33 seconds i believe, im pretty sure its all about multiplication
what does the following expression mean?
7!
A. 7+6+5+4+3+2+1
B. 7·6·5·4·3·2·1
Answer: B
Step-by-step explanation:
A factorial is multiplying the integer and all of the integers below it together.
The product of a whole number 'n' with every whole number until 1 is called the factorial. The correct option is B.
What is a factorial?The product of a whole number 'n' with every whole number until 1 is called the factorial. The factorial of 4 is, for example, 43221, which equals 24.
The expression 7! means 7 factorial which is expanded as,
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1
Hence, the correct option is B.
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help me on this to I'm begging u I'm so sorry I'm up so late but the school I'm in is wack
Answer:
Answer below
Step-by-step explanation:
1. C 2
2. The temperature from 15°F to -6°F has changed by 21°F
5. C $37
I hope this helps
The school that Ashley goes to is selling tickets to a fall musical. On the first day of ticket sales the school sold 9 adult tickets and 3 student tickets for a total of $120. The school took in $22 on the second day by selling 1 adult ticket and 1 student ticket. What is the price each of one adult ticket and one student ticket?
Given:
On first day, the number of adult tickets sold, p=9.
On first day, the number of student tickets sold, q=3.
The total price of tickets sold on first day, t=$120.
On second day, the number of adult tickets sold, m=1.
On second day, the number of student tickets sold, n=1.
The total price of tickets sold on second day, T=$22.
Let x be the price of one adult ticket and y be the price of one student ticket.
Hence, the expression for the total price of tickets sold on first day is,
\(\begin{gathered} t=px+qy \\ 120=9x+3y\text{ ---(1)} \end{gathered}\)The expression for the total price of tickets sold on second day is,
\(\begin{gathered} T=mx+ny \\ 22=x+y\text{ ---}(2) \end{gathered}\)Now, multiply equation (2) by 3.
\(\begin{gathered} 3\times22=3x+3y \\ 66=3x+3y\text{ ---(3)} \end{gathered}\)Subtract equation (3) from equation (1) and solve for x.
\(\begin{gathered} 120-66=9x+3y-3x-3y \\ 54=6x \\ x=\frac{54}{6} \\ x=9 \end{gathered}\)So, x=9.
Now, substitute x=9 in equation (2) and solve for y.
\(\begin{gathered} 22=9+y \\ y=22-9 \\ y=13 \end{gathered}\)Therefore, the price of each adult ticket is $9 and the price of each student ticket is $13.
What is the expression after applying the distributive property? −12(−2+(−3))
Answer:
60
Step-by-step explanation:
-5.-12=60
Hey there!
-12(-2 + (-3))
= -12(-2 - 3)
DISTRIBUTE -12 within THE PARENTHESES
= -12(-2) - 12(-3)
= 24 + 36
= 60
Therefore, your answer is: 60
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Please answer the question in the photo (10p)
Answer:
x = -4
y = 2
Step-by-step explanation:
y = 1/4x + 3
y = 2x + 10
Since both equations are equal to y, they are equal to each other.
1/4x + 3 = 2x + 10
Now, solve for x.
3 = 7/4x + 10
-7 = 7/4x
-4 = x
To solve for y, just plug in x in to one of the equations.
y = 2(-4) + 10
y = -8 + 10
y = 2
And there you go.
Determine the solution to the equation. 8+4x=2x+8+2x A Infinite B One Solution C No Solution
After solving the given equations the answer is an Infinite solution. Hence, option A is correct
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given equation in the question,
8 + 4x = 2x + 8 + 2x
Firstly, let's write the given equation in a simplified manner,
8 + 4x = 8 + 4x
As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.
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The legend on a map states that
1 cm is 20 km. If you measure 9
centimeters on the map, how
many kilometers would the actual
distance be?
Actual distance = [ ? ] km
Answer:
1cm=20km
multiply both sides by 9
you get
9cm=20x9km
9cm=180km
The five values for a data set are: minimum = 0 lower quartile = 2 median = 3. 5 upper quartile = 5 maximum = 10 Bruno created the box plot using the five values. What error did he make? The right whisker should go from 3. 5 to 10. The left whisker should go from 0 to 2. The box should go from 2 to 3. 5. The box should go from 3. 5 to 5
The five values for a data set are: minimum = 0 lower quartile = 2 median = 3. 5 upper quartile = 5 maximum = 10 Bruno created the box plot using the five values. Bruno made error. The left whisker should go from 0 to 2.
About quartileQuartiles is a type of quartile that divides data into four parts with approximately the same number. The first quartile or lower quartile (Q1) is the middle value between the smallest value and the median of the data group. The first quartile is a marker that the data in that quartile is 25% below the data group.
The second quartile (Q2) is the median data which marks 50% of the data (dividing the data in half). The third or upper quartile (Q3) is the middle value between the median and the highest value of the data set. The third quartile is a marker that the data in that quartile is 75% below the data group. Quartiles are a form of an ordered statistic because to determine quartiles, data needs to be sorted from smallest to largest value first.
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A simple random sample with n = 56 provided a sample mean of 22.5 and a sample standard deviation of 4.4. (Round your answers to one decimal place.)
a) Develop a 90% confidence interval for the population mean.
b) Develop a 95% confidence interval for the population mean.
c) Develop a 99% confidence interval for the population mean.
a) The 90% confidence interval for the population mean is approximately (21.52, 23.48).
b) The 95% confidence interval for the population mean is approximately (21.322, 23.678).
c) The 99% confidence interval for the population mean is approximately (20.926, 24.074).
To develop confidence intervals for the population mean, we can use the formula:
Confidence Interval = sample mean ± (critical value * standard error)
where the standard error is equal to the sample standard deviation divided by the square root of the sample size.
a) For a 90% confidence interval, we need to find the critical value corresponding to a confidence level of 90%. The critical value can be obtained from the t-distribution table with (n-1) degrees of freedom. Since the sample size is 56, the degrees of freedom is 56-1 = 55.
From the t-distribution table, the critical value for a 90% confidence interval with 55 degrees of freedom is approximately 1.671.
The standard error can be calculated as:
Standard Error = sample standard deviation / sqrt(sample size)
Standard Error = 4.4 / sqrt(56)
Standard Error ≈ 0.5882
Now we can calculate the confidence interval:
Confidence Interval = 22.5 ± (1.671 * 0.5882)
Confidence Interval = 22.5 ± 0.9816
Confidence Interval ≈ (21.52, 23.48)
b) For a 95% confidence interval, the critical value for 55 degrees of freedom is approximately 2.004 (obtained from the t-distribution table).
Standard Error = 4.4 / sqrt(56) ≈ 0.5882
Confidence Interval = 22.5 ± (2.004 * 0.5882)
Confidence Interval = 22.5 ± 1.178
Confidence Interval ≈ (21.322, 23.678)
c) For a 99% confidence interval, the critical value for 55 degrees of freedom is approximately 2.678 (obtained from the t-distribution table).
Standard Error = 4.4 / sqrt(56) ≈ 0.5882
Confidence Interval = 22.5 ± (2.678 * 0.5882)
Confidence Interval = 22.5 ± 1.574
Confidence Interval ≈ (20.926, 24.074)
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Can someone please help me with the following problems
The day which has the least change in temperature is Wednesday.
The two consecutive days which showed a drop in temperature is Wednesday and Thursday.The graph which was easier to read is table graph.Table graph illustrate the data because it clearly shows the data representation.How to read and explain graph?The day which has the least change in temperature can be calculated by finding the change in temperature:
Monday = High temperature - low temperature
= 82° - 58°
= 24°
Tuesday = High temperature - low temperature
= 85° - 60°
= 25°
Wednesday = High temperature - low temperature
= 77° - 62°
= 15°
Thursday = High temperature - low temperature
= 68° - 50°
= 18°
Friday = High temperature - low temperature
= 75° - 48°
= 27°
Saturday = High temperature - low temperature
= 70° - 52°
= 22°
Sunday = High temperature - low temperature
= 84° - 56°
= 28°
The day which has the least change in temperature is Wednesday
Which two consecutive days which showed a drop in temperature: Wednesday and Thursday with 77° and 68° respectively.
Unlike line graph, table graph is the graph that is easier to read.
Therefore, the graph which best illustrate the graph is table graph because it represent the data in a clearer way.
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Lcm of 34 and 68 and 153
Answer:
162
Step-by-step explanation:
To find the LCM (Least Common Multiple) of 34, 68, and 153, we can use the prime factorization method.
First, we find the prime factors of each number:
34 = 2 x 17
68 = 2 x 2 x 17
153 = 3 x 3 x 17
Next, we write the prime factors of each number in a vertical list, including duplicates, and circle the highest power of each prime factor:
```
2 3 17
2 3 17
2 17
3 17
3 17
Then, we multiply all the circled prime factors to get the LCM:
LCM = 2 x 2 x 3 x 3 x 17 = 612
Therefore, the LCM of 34, 68, and 153 is 612.
What’s the slope of the line? Please help!!
Answer:
1
Step-by-step explanation:
Answer:
y=x+2
Step-by-step explanation:
:)
how to solve 3x+7=2x+1 using Dcmam
Answer:
x = -6
Step-by-step explanation:
3x + 7 = 2x + 1
Subtract 7 on both sides to leave 3x alone
3x = 2x - 6
Subtract 2x on both sides to have X on one side only
3x - 2x = x
x = -6
I'm not entirely sure as to what Dcmam is but there is really not much else you can do to find this value of x, it's as simple as that.
What is the length of the longest side of a triangle that has the vertices (-2, 1), (5, 1), and (5, 4)?
OA. 65 units
OB. √58 units
OC. 6√65 units
OD. 5√65 units
Answer:
B
Step-by-step explanation:
To find the length of the longest side of the triangle, first sketch the triangle. A graph paper is not needed here.
In this case we have a right-angled triangle, since the ends of the adjacent side has the same y-coordinate of 1 and the opposite side has the same y-coordinate of 5.
In a right-angled triangle, the hypotenuse side is the longest. The length of the hypotenuse side can be found using 2 methods.
1) Pythagoras' Theorem
a² +b²= c²
(adjacent)² +(opposite)²= (hypotenuse)²
Length of adjacent
= 5 -(-2)
= 7 units
Length of opposite side
= 4 -1
= 3 units
(hypotenuse)²
= 7² +3²
= 58
hypotenuse= \( \sqrt{58} \)
2) Distance formula
Since we know that the hypotenuse side is the longest, we can simply find the length of the hypotenuse side instead of calculating the length of each side.
\(\boxed{{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}\)
Length of longest side
= distance between (5, 4) and (-2, 1)
\( = \sqrt{(4 - 1) {}^{2} + (5 - ( - 2)) {}^{2} } \)
\( = \sqrt{3 {}^{2} + {7}^{2} } \)
\( = \sqrt{58} \)
Thus, the length of the longest side is \( \sqrt{58} \) units.