just move the 15 the left and divide 5 and u should get c=3
6. What is the greatest common factor of the following expression? *
15y3 – 40y
Answer:
I'm not sure what 15y3 is, but I'll take a guess.
If the only numbers are 15, 3, and -40, then the greatest common factor is 1.
If the only numbers are 15 and 3, then it's three.
If the only numbers are 15 and -40, it would be 5.
A colony of 85 bacteria doubles in size every 126 minutes. What will the population be 378
minutes from now?
Answer:
680 Bacteria
Step-by-step explanation:
378 is evenly divisible by 126, which is equal to 3.
The first 126 minutes, the 85 bacteria will double to 170 bacteria.
The second 126 minutes (252 minutes total), the 170 bacteria will double to 340 bacteria.
The final 126 minutes (378 minutes total), the 340 bacteria will double to 680 bacteria total.
If this helped, a brainliest would be greatly appreciated!
On the coordinate plane shown, what is the distance from point Y to point Z? Round your answer to the nearest hundredth. On a coordinate plane, point X is (negative 5, 3), Y (3, 2), Z (negative 1, negative 4).
= 7.211102550928
The distance is 7.21 units.
What describes the correct way to convert minutes to an hour
Answer:
Yo mean correct way??
yo can divide minute by 60 to convert minute into hour
For example
To convert 10 minute into hour. then we should divide 10 by 60. 10/60
Answer:
In any conversion you have to establish ratios (or rates) for the different units being converted.
The process will be performed by a series of multiplications that will cancel out the "unwanted" units.
multiplication by one (1) does not change the value in an equation.
you have to multiply by a "series of ones" that take into account the units being converted..
for example
1 minute/60 seconds or 1 inch = 2.54 cm or 1 day = 24 hours
in your problem you have minutes... lets say you have 100 minutes
100 minutes * 1 hour minutes cancel and you have 100/60 = 1 \(\frac{2}{3}\) hrs
60 minutes
Step-by-step explanation:
Roger is training for the upcoming track season and records the number of miles that he runs each day for 20 days: 2.5, 0.5, 3.5, 4, 1.5, 5, 2, 2.5, 0.5, 4, 4.5, 3, 1.5, 1, 0.5, 2.5, 3, 5, 2.5, 0.5, 4, 4.5, 2, 4 which dotplot displays the data correctly? a dotplot titled roger apostrophe s training. a number line labeled miles run goes from 0.5 to 5 in increments of 0.5. 0.5, 4; 1, 1; 1.5, 2; 2, 2; 2.5, 3; 3, 2; 3.5, 0; 4, 3; 4.5, 2; 5, 1. a dotplot titled roger apostrophe s training. a number line labeled miles run goes from 0 to 3.5. 0, 4; 2.5, 3; 4, 3; 1.5, 2; 2, 2; 3, 2; 4.3, 2; 1, 2; 5, 1; 3.5, 0. a dotplot titled roger apostrophe s training. a number line labeled miles run goes from 0 to 5. 0, 4; 1, 1; 1.5, 2; 2, 2; 2.5; 3, 3, 2; 4, 3; 4.5, 2; 5, 1.
By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on.
The dotplot that displays the data correctly is the one titled "Roger's Training" with a number line labeled "Miles Run" that goes from 0.5 to 5 in increments of 0.5. The dotplot should have the following data points:
0.5, 4
1, 1
1.5, 2
2, 2
2.5, 3
3, 2
3.5, 0
4, 3
4.5, 2
5, 1
This dotplot accurately represents the number of miles Roger ran each day over a 20-day period. Each dot represents a data point from the given list of miles run. The number line indicates the range of miles run, starting from 0.5 and ending at 5, with increments of 0.5.
By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on. This visual representation allows you to easily interpret the data and observe any patterns or trends in Roger's training.
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Which of the following is the correct simplified form of 16/56?
1/4
B
2/7
C
4/14
D
8/28
Answer:
B
Step-by-step explanation:
2/7 I Hope i helped
Consider a Stackelberg model in which firm 1 sets output and then firm 2 observes before setting . In the Subgame perfect Equlibrium,
a.
Firm 1 chooses a function, and firm 2 chooses a number.
b.
Both firms chooses numbers.
c.
Both firms choose functions.
d.
Firm 1 chooses a number, and firm 2 chooses a function.
In the Subgame Perfect Equilibrium of a Stackelberg model, firm 1 chooses a number, and firm 2 chooses a function. Therefore, option (d) is the correct answer.
The Subgame Perfect Equilibrium (SPE) is a solution concept in game theory that analyzes strategic decision-making in sequential games. In a Stackelberg model, firm 1 acts as the leader and sets its output level first, followed by firm 2 as the follower, who observes firm 1's output before making its decision.
In the Subgame Perfect Equilibrium of this model, firm 1 chooses a number (output level) while firm 2 chooses a function (strategy). This implies that firm 1's decision is made independently as a quantity, and firm 2, observing firm 1's choice, formulates its strategy based on that information.
Therefore, option (d) is the correct answer: Firm 1 chooses a number, and firm 2 chooses a function in the Subgame Perfect Equilibrium of a Stackelberg model.
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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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Please help timed question (question included in photo). I'll mark as brainiest!
Answer:
Step-by-step explanation:
This is a right triangle trig problem. Picture a right triangle. The height of the triangle is the height of the lighthouse, your distance from the base of the lighthouse is what we are solving for, and the reference angle is 2 degrees, which is the angle of inclination from where you stand to the top of this lighthouse. We have the reference angle, the side opposite the reference angle, and we are looking for the side adjacent to the reference angle. This is the tangent ratio: the side opposite the reference angle over the side adjacent to the reference angle. We know the measure of the reference angle and we know the value of the side opposite the reference angle. Filling in:
\(tan(2)=\frac{200}{x}\) and
\(x=\frac{200}{tan(2)}\) so
x = 5727.25 feet, the third choice down
Answer:
\(tan2=200/x\) \(x=200/tan2\)
\(x=5,727.25\)
------------------------
hope it helps..
have a great day!!
I need help figuring this out
Answer:
I believe the answer is c
Step-by-step explanation:
Hope this helps!❆
You invested $1200 into an account that earned interest that was compounded semiannually. After 10 years, the amount in the account is now $4034.22. What was the interest rate of the investment?
the interest rate of investment is r = 6.25 %.
Principal amount = $ 1200
Time = 10 years
Since the interest is compounded semi annually, the time period will become:
n = 2 × 10 = 20
Amount after 10 years = $ 4034.22
Using the formula for compound interest, we get that:
A = P (1 + r)ⁿ
Substitute the values, we get that:
4034.22 = 1200 ( 1 + r)²⁰
3.36185 = ( 1 + r)²⁰
( 1 + r)²⁰ = 3.36185
( 1 + r) = 1.06245
r = 0.0625
Interest Rate will be:
r = 6.25 %
Therefore, we get that the interest rate of investment is r = 6.25 %.
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We need a rock
garden with a
perimeter of 14 feet
and an area of 12
square feet.
Length:
feet
Width: :
feet
Answer: Length:4 Width:3
Step-by-step explanation:
for the perimeter 4+4+3+3= 14 feet
For the area: 3x4=12
use the method of laplace transforms to find the solution y(t) to the initial value problem y 00 2y 0 2y
To find the solution y(t) to the initial value problem y'' + 2y' + 2y = 0, we can use the method of Laplace transforms.
Step 1: Take the Laplace transform of both sides of the differential equation.
The Laplace transform of y''(t) is s^2Y(s) - sy(0) - y'(0), where Y(s) is the Laplace transform of y(t).
The Laplace transform of y'(t) is sY(s) - y(0).
The Laplace transform of y(t) is Y(s).
Step 2: Substitute the Laplace transforms into the differential equation.
We get (s^2Y(s) - sy(0) - y'(0)) + 2(sY(s) - y(0)) + 2Y(s) = 0.
Step 3: Solve for Y(s).
Rearrange the equation to solve for Y(s):
s^2Y(s) + 2sY(s) + 2Y(s) - sy(0) - y'(0) - 2y(0) = 0.
Combining like terms, we have:
(Y(s)(s^2 + 2s + 2)) - s(y(0) + 2y(0)) - y'(0) = 0.
Simplifying further, we have:
Y(s)(s^2 + 2s + 2) = s(3y(0)) + y'(0).
Dividing both sides by (s^2 + 2s + 2), we get:
Y(s) = (s(3y(0)) + y'(0))/(s^2 + 2s + 2).
Step 4: Inverse Laplace transform to find y(t).
To find y(t), we need to find the inverse Laplace transform of Y(s).
Using partial fraction decomposition, we can express Y(s) as:
Y(s) = A/(s^2 + 2s + 2) + B/(s^2 + 2s + 2).
To find the values of A and B, we can use the method of inverse Laplace transforms or solve the system of equations formed by equating the coefficients of the powers of s.
Once we have the partial fraction decomposition of Y(s), we can take the inverse Laplace transform to find y(t).
This step involves finding the inverse Laplace transforms of each term separately, which can be done using standard Laplace transform tables or by using the method of completing the square.
After finding the inverse Laplace transforms, we obtain the solution y(t) to the initial value problem y'' + 2y' + 2y = 0.
Please note that the specific values of y(0) and y'(0) need to be given in order to find the solution y(t) accurately.
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What is the solution for 2y – 5 – 8 + y > 5?
Answer:
y>6
Step-by-step explanation:
Answer: y>6
Step-by-step explanation:
What is the y-intercept of y=4x-7 & 7x+2y=18
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
A class has 30 students. 10 students take the bus. What percentage of students take the bus?
Answer:
33.3%
Step-by-step explanation:
10/ 30= 0.3(3 would be a reoccurring decimal)
0.3*100=33.3
10% of students take the bus
Bismah is building 5 raised garden beds in a community garden. Each raised
garden bed will need 1 7/8 bags of soil. How many bags of soil will Bismah need for
all 5 raised garden beds?
Answer:
9.375, or 10 bags, since he cant buy a part of a bag. Hope this helps!
Step-by-step explanation:
Find the standard deviation ofthe given data rounded to thenearest hundredth.12, 53, 141, 219, 500
1) Let's find the standard deviation for this data set:
\(12,53,141,219,500\)2) So, let's apply the formula for standard deviation:
\(\begin{gathered} S\left(X\right)=\sqrt{\frac{\sum_{i=1}^n\left(x_i-\bar{x}\right)^2}{n}} \\ \end{gathered}\)3) Let's find the mean and compute the variance:
\(\bar{x}=\sum_{i=1}^na_i=\frac{12+53+141+219+500}{5}=\frac{925}{5}=185\)The sum of all entries is divided by the number of data points.
Now, for the variance:
\(\begin{gathered} \sum_{i=1}^n\left(x_i-\bar{x}\right)^2=\frac{\left(12-185\right)^2+\left(53-185\right)^2+\left(141-185\right)^2+\left(219-185\right)^2+\left(500-185\right)^2}{5} \\ \frac{149670}{5}=29934 \end{gathered}\)Finally, we can take the square root of that variance to get the standard deviation:
\(\sigma\left(X\right)=\sqrt{\sum_{i=1}^n\frac{\left(x_i-\bar{x}\right)^2}{n}}=\sqrt{29934}=173.014\)help help help help help help help help help help
Answer:
A' (2,-1)
Step-by-step explanation:
The dilated rule was to multiply by 1/2. So, that means we multiply 4 and -2 by half:
4×1/2= 2
-2×1/2= -1
The location of A' is now (2,-1).
Hope this helps!
Answer:
(2,-1).
Step-by-step explanation:
Luis models a can of ground coffee as a right cylinder. He measures its height as 51/1
3
in and its radius as in. Find the volume of the can in cubic inches. Round your
4
answer to the nearest tenth if necessary.
Answer:
Step-by-step explanation:
Answer: I can’t find it please help
Step-by-step explanation:
Select the correct answer.
Write an expression to represent the product of 6 and the square of a number plus 15.
In your expression, what is the value of the coefficient?
A.1
В.15
c. 6
D. 2
Answer:
15 in the correct answer
SOMEONE PLEASEE HELP!!?!?
Answer:
The answer is H
Step-by-step explanation:
the test to detect the presence of a certain protein is 98 ccurate for corn plants that have the protein and 97 ccurate for corn plants that do not have the protein. do not round your answer.
The probability that a randomly chosen plant is detected incorrectly is 0.02965 = 2.965%.
How to determine the probabilityFrom the question, we have the following parameters that can be used in our computation:
2% of 3.5% have the protein3% of 96.5% do not have the proteinUsing the above as a guide, we have the following:
Probability = 2% * 3.5% + 3% * 96.5%
Evaluate
Probability = 0.02965
Rewrite as
Probability = 2.965%
Hence, the probability is 2.965%.
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Question
The test to detect the presence of a certain protein is 98% accurate for corn plants that have the protein and 97% accurate for corn plants that do not have the protein.
If 3.5% of the corn plants in a given population actually have the protein, the probability that a randomly chosen plant is detected incorrectly is
For which of these numbers would you most likely count rather than subitize?
A. 0
B. 1
C. 3
D. 5
A and B are typically subitized, which means that they can be immediately recognized without counting. C and D are more likely to be counted.
Counting is the process of determining the number of items in a set by successively adding one. Subitizing, on the other hand, is the ability to immediately recognize the number of items in a small set without counting. The capacity for subitizing is limited to small sets typically ranging from 1 to 5 items, depending on the individual's age and mathematical ability. The answer to this question would be option C, 3. For most individuals, recognizing the number of items in a set of 3 would require counting rather than subitizing, as 3 is at the upper limit of the typical range for subitizing.
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Which angle is formed by EA−→
and EG−→−?
Select all that apply.
Answer:
Step-by-step explanation:
\(\angle 2,\angle AEG, \angle GEB\)
what is the value of the function f(x)=1/4s-3 when x=12
Answer:
f(12) = 0
Step-by-step explanation:
f(x) = 1/4s - 3 x = 12
f(12) = 1/4(12) - 3
f(12) = 3 - 3
f(12) = 0
Answer:
\( \tt \:f(x) = \dfrac{1}{4} \times x - 3\)
\( \tt \:f(x) = \dfrac{1}{4 } \times 12 - 3\)
\( \tt \:f(x) = 3 - 3\)
\( \tt \:f(x) = 0\)
A recipe for sparkling grape jucie calle for 1 1/2 quarts of sparkling water and 3/4 quart of grape jucie. How much sparkling water would you need to mix with 9 quarts of grape jucie?
Answer: 18 quarts of sparkling water
Step-by-step explanation:
From the question, we are informed that a recipe for sparkling grape jucie calle for 1 1/2 quarts of sparkling water and 3/4 quart of grape jucie.
When there's an increase in the quarts of grape juice to 9, it simply means that the former grape juice has been multiplied 12 times (9 ÷ 3/4 = 9 × 4/3 = 12).
Therefore, we would also multiplybl the sparkling water given by 12 to get the new quantity needed. This will be:
= 1 1/2 × 12
= 3/2 × 12
= 18 quarts of sparkling water
i need help on this question
Answer:
1st question
Sry if its wrong xx
The scatter plot below shows nine points from a data set. 12.0 10.8 9.6 8.4 7.2 6.0 4.8 3.6 2.4 1.2 ● 0 1 2 3 4 5 6 7 8 9 10
A 4,4,5,5,6,6
b 4,10,4,11,4,12
C8,9,8,10,8,11
D10,10,10,11,10,12
Answer:
Therefore, based on the given scatter plot, the set of numbers that matches the points is C. 8,9,8,10,8,11.
Step-by-step explanation:
The scatter plot shown represents a set of nine points on a coordinate plane. Each point consists of an x-coordinate and a y-coordinate. To determine which set of numbers corresponds to the scatter plot, we need to analyze the pattern in the given points.
Looking at the scatter plot, we observe that the x-coordinates range from 0 to 10 with an increment of 1, while the y-coordinates seem to vary.
Now let's examine the given answer choices:
A. .4,4,5,5,6,6
B. .4,10,4,11,4,12
C. 8,9,8,10,8,11
D. 10,10,10,11,10,12
Set C (8,9,8,10,8,11) among these answer choices matches the pattern observed in the scatter plot. The x-coordinates in the scatter plot range from 0 to 10, and the y-coordinates correspond to the numbers provided in set C.
Therefore, based on the given scatter plot, the set of numbers that matches the points is C.
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question 1: 5 1/8 is 2/3 of what number?
question 2: what fraction of 9 3/8 is 4 3/8?
Answer:
1) \(7 \frac{11}{16} \)
2) \( \frac{7}{15} \)
Step-by-step explanation:
1) Let's convert the mixed fraction into a improper fraction.
\(5\frac{1}{8} \\ = \frac{5(8) + 1}{8} \\ = \frac{41}{8} \)
Let the number be x.
\( \frac{2}{3} x = \frac{41}{8} \\ x = \frac{41}{8} \div \frac{2}{3} \\ x = \frac{41}{8} \times \frac{3}{2} \\ x = \frac{123}{6} \\ x = 7 \frac{11}{16} \)
2)\(4 \frac{3}{8} = \frac{35}{8} \)
\(9 \frac{3}{8} = \frac{75}{8} \)
\(4 \frac{3}{8} \div 9 \frac{3}{8} \\ = \frac{35}{8} \div \frac{75}{8} \\ = \frac{35}{8} \times \frac{8}{75} \\ = \frac{7}{15} \)