Answer:
Step-by-step explanation:
If its a square all the sides are equal so therefor if it took up ten inches of the plate the length is 10 by 10 so 100 because the equation for length is base times height.
Question 23
Write the following phrase into algebraic equation or inequality:
The product of x and 12 is equal to 15.
Answer:
12x = 15
Step-by-step explanation:
A tank in the form of a right-circular cylinder standing on end is leaking water through a circular hole in its bottom. As we saw in (10) of Section 1.3, when friction and contraction of water at the hole are ignored, the height h of water in the tank in feet after t seconds is described by dh dt А. 2gh AW where A and A, are the cross-sectional areas of the water and the hole in square feet, respectively. (a) Solve for h(t) if the initial height of the water is H. Give its interval I of definition in terms of the symbols Awr An, and H. Use g = 32 ft/s2. (4„VH – 44,4) h(t) = osts 4A 4VĀ By hand, sketch the graph of h(t). h h H H/2 t h h H/2H H t (b) Suppose the tank is 11 ft high and has radius 2 ft and the circular hole has radius in. If the tank is initially full, how long will it take to empty? (Round your answer to two decimal places.) sec
The height of water in the tank in feet after t seconds can be expressed as h(t) = H - (Aw/Ah) 2gh t2, where Aw and Ah are the cross-sectional areas of the water and the hole in square feet respectively,
and g is the gravitational acceleration (32 ft/s2). The interval of definition for h(t) is 0 ≤ t ≤ H/2gh.
The graph of h(t) is a parabola with its vertex at (H/2gh, H) and is symmetric about the line t = H/2gh. It starts at (0, H) and gradually decreases to (H/2gh, 0).
Given the tank is 11 ft high, has radius 2 ft and the circular hole has radius in, and it is initially full, the time it will take to empty can be calculated as: t = √(2H/gAh) = √(22/(32 x π(0.52))) = 3.87 seconds. Therefore, it will take approximately 3.87 seconds to empty.
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What is X2 + 3(4) - 1 = 47?
Answer:
x=6, -6
Step-by-step explanation:
take the root of both sides then solve
Answer:
x = 18
Step-by-step explanation:
2x + 3(4) - 1 = 47
Begin by combining your like terms
2x + 12 - 1 = 47
2x + 11 = 47
Isolate your variable (x) by using inverse operations
2x = 36
x = 18
Maggie has purchased 1 cup of chocolate chips for some cookies she is baking, which is enough for 3/4 of a batch of cookies. How many cups of chips does she need for a whole batch of cookies?
Answer:
1 1/3
Step-by-step explanation: Because if you divide 1 by 3/4 you get 1.3 or 13/10 or 1 1/3 if you make it a proper fraction (im not fully sure about the explination but when i did the math in my head and paper i got the answer so sorry if im wrong ;-;)
Multiply.
-0.2(24)=
-100(-9.287)
Answer:
-0.2(24)= -4.8
-100(-9.287)= -9.287
question 9 in r, which statistical measure demonstrates how strong the relationship is between two variables?
Correlation analysis is a statistical technique used to measure the strength of the relationship between two variables.
Correlation analysis in research is a factual strategy used to quantify the strength of the direct correlation between two factors and figure out their affiliation. It ascertains the degree of progress in one variable because of the change in the other. A high correlation focuses on a solid correlation between the two factors, while a low correlation implies that the factors are pitifully related.
With regard to statistical surveying, specialists use this strategy to break down quantitative information gathered through research strategies like reviews and live surveys. They attempt to recognize the correlation, designs, huge associations, and patterns between two factors or datasets.
There is a positive correlation between two variables when an increment in one variable prompts an increment in the other. Then again, a negative correlation implies that when one variable expands, different declines as well as the other way around.
Correlation analysis is used to study practical cases. Here, the researcher can't manipulate individual variables. For example, correlation analysis is used to measure the correlation between the patient's blood pressure and the medication used.
Marketers use it to measure the effectiveness of advertising. Researchers measure the increase/decrease in sales due to a specific marketing campaign.
Thus, Correlation analysis is a statistical technique used to measure the strength of the relationship between two variables.
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Which of the following are equations for the line shown below? Check all that
apply.
(2, 2)
(-2,3)
A. y-2=-0.25(x-2)
B. y-3= -0.25(x+2)
C. y + 3 = -0.25(x-2)
D. y-3= -0.25(x-2). Check all that apply
a
5y/8_5y/16
simplify the expressions
Answer:
is it 5y/8_5y/16 or 5y/8-5y/16 ?
Step-by-step explanation:
Answer:
\(\frac{5y}{16}\)
Step-by-step explanation:
Given
\(\frac{5y}{8}\) - \(\frac{5y}{16}\)
To subtract the fractions we require them to have a common denominator.
Multiply numerator/ denominator of \(\frac{5y}{8}\) by 2
= \(\frac{5y(2)}{8(2)}\) - \(\frac{5y}{16}\)
= \(\frac{10y}{16}\) - \(\frac{5y}{16}\)
Now subtract the numerators, leaving the denominator
= \(\frac{10y-5y}{16}\)
= \(\frac{5y}{16}\)
1. Emma used elimination to solve this system of linear equations. 3x + 5y = -17 2x + 4y = 6 Which equation did Emma have after
EXPLANATION
Given the system of equations:
(1) 3x + 5y = -17
(2) 2x + 4y = 6
Multiplying (1) by 2 and (2) by 3:
(1) 6x + 10y = -34
(2) 6x + 12y = 18
Subtracting (2) to (1):
(2) 6x + 12y = 18
-
(1) 6x + 10y = -34
-------------------------------------
2y = 52
Dividing both sides by 2:
y = 52/2
Simplifying:
y = 26
\(\mathrm{For\: }6x+10y=-34\mathrm{\: plug\: in\: }y=26\)\(6x+10\cdot\: 26=-34\)\(\mathrm{Multiply\: the\: numbers\colon}\: 10\cdot\: 26=260\)\(6x+260=-34\)\(\mathrm{Subtract\: }260\mathrm{\: from\: both\: sides}\)\(6x+260-260=-34-260\)Simplify:
\(6x=-294\)Divide both sides by 6:
\(\frac{6x}{6}=\frac{-294}{6}\)Simplify:
\(x=-49\)The solutions to the system of equations are:
\(x=-49,\: y=26\)
16^-k -1= (1/64)^-k this is for solving for exponential functions in Algebra 2.
The value of k is -2/5. This is the value of K if \(16^{-k-1} = (\frac{1}{64})^{-k}\). Exponents are used in exponential functions, as the name suggests.
A constant serves as the exponent in an exponential function, but not the other way around (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
\(16^{-k-1} = (\frac{1}{64})^{-k}\)
\((4^{2})^{-k-1} = (\frac{1}{4^{3} })^{-k}\)
\(4^{-2k-2} = (4^{-3})^{-k}\)
\(4^{-2k-2} = 4^{3k}\)
As the base are equal so the exponents are equal
Hence,
-2k-2 = 3k
-2 = 3k + 2k
-2 = 5k
-2/5 =k
Therefore the value of K is -2/5
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a bakery uses 8 tablespoons of honey for every 10 cups of flour so how many tablespoons of honey do they use with 20 cups of flour
a bakery uses 8 tablespoons of honey for every 10 cups of flour so how many tablespoons of honey do they use with 20 cups of flour
we can use a rule of three
Step 1
define
\(\begin{gathered} 8\text{ tablespoons of honey}\rightarrow10\text{ cups of flour} \\ x\text{ tablespoons of honey}\rightarrow20\text{ cups of flour} \end{gathered}\)there is a relation between the honey and the flour, is needs to be constant, so
Step 2
fin the ratio
\(\begin{gathered} \frac{8}{10}=\frac{x}{20} \\ \end{gathered}\)Now
Step 3
solve for x
\(\begin{gathered} \frac{8}{10}=\frac{x}{20} \\ x=\frac{8\cdot20}{10} \\ x=\frac{160}{10} \\ x=16 \end{gathered}\)so, he uses 16 tablespoons
when the entire 95% confidence interval is less than 1, the odds ratio is statistically significant.
The "correct" statement is that the odds ratio appears statistically significant when the whole 95% confidence interval is much less than 1.
Explain the meaning of the term confidence interval?In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values a predetermined percentage of the time.
Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts. Therefore, it can be concluded that there is a 95% probability that the true value falls within that range if a point estimate of 10.00 with just a 95% confidence interval = 9.50 - 10.50 is derived using a statistical model. Point estimates lack the information that confidence intervals do. The researchers reach at an upper as well as lower bound that 95% of the time contain the true mean by creating a 95% confidence interval to use the sample's mean plus standard deviation and presuming a normal distribution represented by the bell curve.Thus, the "correct" statement is that the odds ratio appears statistically significant when the whole 95% confidence interval is much less than 1.
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Michael is planning to put fencing along the edge of his rectangular backyard, which is 22 yards by 16 yards. One long side of the backyard is along his house, so he will need to fence only 3 sides. How many yards of fencing will michael need?.
Michael will need 54 yards of fencing.
Dimensions of Michael's rectangular yard = 22 yards, 16 yards
Length of Michael's rectangular yard = 22 yards
Breadth of Michael's rectangular yard = 16 yards
Perimeter of Michael's yard = 2 [l+b] = 2 [22+16] = 2×38 = 76 yards
As Michael nee
ds to fence only 3 sides leaving a long side, so he needs to fence = perimeter - length = 76-22 = 54 yards
Hence, Michael will need 54 yards of fencing.
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Here i a cm cube
thi cuboid i made from centimetre cube
write down the volume of the cuboid
In order to determine the volume of the cuboid, we would need to know its length, width, and height in centimeters.
The volume of a cube is given by the formula:
V = s^3
Where V is the volume and s is the length of one side of the cube.
Since this cuboid is made up of centimeter cubes, it means that the length, width, and height are in centimeters.
It is not mentioned the dimension of the cuboid, so it is not possible to determine the volume of the cuboid.
In order to determine the volume of the cuboid, we would need to know its length, width, and height in centimeters.
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As a farmer, suppose you want to fence off a rectangular field that borders a river. You wish to find out the dimensions of the field that occupies the largest area, if you have 1500 feet of fencing. Remember that a square maximizes area, so use a square in your work.
-Draw several diagrams to express the situation and calculate the area for each configuration, then estimate the dimension of largest possible field.
-Find the function that models the area in terms of one of its sides.
-Find the point that maximizes the function you found in the second bulleted item.
-Calculate the area of the field at the point you found in the third bulleted item, and then compare your results with the results in the first bulleted item.
According to the area of rectangle, the maximum area is given by a 300 × 500 ft rectangle that is being half of a square
The formula to calculate the area of square is written as
A = l x b
where l refers the length and b refers the breadth in rectangle.
Here we have know that if there were no river then the maximum area would be given by a square configuration since increasing the length and decreasing the width of a square by the same value t will decrease the area by a square with sides of length t.
Here we have to add the river on one side.
As we all know that we need to fence in a rectangle on one side of the river and then here we have imagine an identical rectangle on the other side of the river.
Then the maximum area is given when the two rectangles form a square that is when we have a rectangle twice as long as wide is written as
=> 1500 feet of fence then the rectangle has fenced sides written as 500feet and 300feet.
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Jesse looks at the prices of 5 guitars. The prices are $85,
$90, $88, $82, and $86. This data set does not contain an
extreme value.
Which measure of center should Jesse use to describe the prices?
A. Either the mean or the median. The values are about the same.
B. Mean absolute deviation (MAD)
C. Interquartile range (IQR)
D. Range
The answer is A. I did this test and it said it was A.
Find the distance between the points (4,9) and (10,9).
Answer:
The distance between (4,9) and (10,9) is 6
Step-by-step explanation:
You need to follow this formula!
√x2 - x1^2 + y2 - y1^2
Your first point (4,9) is point 1
The other (10,9) is labeled as point 2
Take the 10 and subtract it from 4 to find the x coordinate.
10-4 = 6
Then you square it
36
Take the 9 and subtract it from the other 9.
0
So far we have √36
Simplify!
=6
Therefore, the distance between (4,9) and (10,9) is 6
The formula for the distance between point (x_1,y_1) and (x_2,y_2) is,
\(\text{d}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Determine the distance between points (4,9) and (10,9) by using distance formula.
\(\text{d}=\sqrt{(10-4)^2+(9-9)^2}\)
\(=\sqrt{36+0}\)
\(=\sqrt{36}\)
\(=6\)
So distance between the two points is 6.
to determine customer opinion on their service uisness depot randomly selects 130 stores during a certain week
As we first choose a cluster of the store before surveying all of the customers present in the store, they employed cluster sampling in this instance.
Describe cluster sampling and its variations?A population is divided into several clusters that are representative of homogeneous traits and have an equal chance of being included in the sample using the sampling technique known as cluster sampling.
Cluster sampling using a single stage: As the name implies, sampling only happens once.
Two-stage cluster sampling: In this case, a small number of individuals are chosen from each group by means of systematic or simple random sampling rather than the entire cluster.
Multiple stage cluster sampling: Compared to two stage sample, multiple stage cluster sampling goes one or more steps beyond. Complex clusters must be formed in order to conduct effective research across several geographies, and this can only be done by employing the multiple-stage sampling technique.
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Add 7 + (-12). The choices are A.) 19 B.) 5 C.) -5 D.) -19 Please explain how you got your answer.
Answer:
the answer is C search up this app called math papa it would help a little more
Step-by-step explanation:
7-12
7+-12
=-5
Answer:
c)-5
Step-by-step explanation:
7+(-12)
=7-12(+*- = -)
=-5(-has the greatest value so the ans comes in negative)
You walk into a tall building and take the elevator up an appointment you have on the 7th floor they send you down two floors to the 5th floor to pay your bill After paying your bill you take the stairs back to the main floor and exit the building
Answer:
The answer would be A because the person would go up 7 floors, go down 2, and go down five more.
Step-by-step explanation:
The bears in Alaska are limited to a certain area to live due to the resources available for
food and shelter. After years, the number of bears living in the area is modeled by the function below. Using the function, find the number of bears after 17 years.
The number of bears living in the area after 17 years is; 22555
How to solve exponential functions?We are given the function;
f(t) = 103/(1 + 26e^(-0.31t))
Where f(t) is a function that models the number of bears living in the area after t period of years.
Thus, to find the number of bears living in the area after 17 years, we will just substitute 17 for t in the given function to get;
f(17) = 103/(1 + 26e^(-0.31*17))
f(17) = 103/0.00456653759
f(17) ≈ 22555 bears
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If the following series continues the same pattern. What is the next number in the series 1, 10, 7, 16?.
Answer:
Step-by-step explanation:
28
Find the areas of the sectors formed by NMP. Round your answer to the hundredth of a square centimeter.
Consider that the area of a sector of a circle is given by:
\(A=\frac{\theta}{360}\pi r^2\)where θ is the angle of the sector and r is the radius.
For θ=40 and r = 8cm, you obtain:
\(A=\frac{40}{360}\pi(8cm)^2=22.34cm^2\)The area of the small sector is about 22.34 cm^2.
Now, for θ=320 and r = 8cm, you obtain:
\(A^{\prime}=\frac{320}{360}\pi(8cm)^2=178.72cm^2\)The area of the small sector is about 178.72 cm^2.
Identify the direction of rotation that maps triangle BCD to triangle B’C’D’.
The triangle is rotated in a
direction-----
Answer:
clockwise
Step-by-step explanation:
The triangle is rotated in a clockwise direction, as per the given conditions.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
It seems to be questioned is incomplete, we assume that the direction of rotation that maps triangle BCD to triangle B’C’D’ on a coordinate plane from quadrant 2 to quadrant 1 is about the origin. As rotation from quadrat 2 to one about origin represents the clockwise direction.
Thus, the triangle is rotated in a clockwise direction, as per the given conditions.
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In 2 minutes, a conveyor belt moves 200 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 3 minutes. If both
belts are used, find how long it takes to move the cans to the storage area.
The conveyor belts can move the 200 pounds of recyclable aluminum from the delivery truck to a storage area in minutes
It takes approximately 1.2 minutes to move the cans to the storage area when both conveyor belts are used.
We can begin the problem by using the formula:
work = rate x time
Let's denote the rate of the first belt as R1 and the rate of the second belt as R2. Then, we can write:
R1 = 200 pounds / 2 minutes = 100 pounds per minute
R2 = 200 pounds / 3 minutes ≈ 66.67 pounds per minute
When both belts are used, they work together to move the same 200 pounds of cans. Therefore, we can add their rates to get the total rate:
R = R1 + R2 = 100 + 66.67 = 166.67 pounds per minute
To find the time it takes to move the cans to the storage area, we can rearrange the formula:
time = work / rate
The total work is 200 pounds, so we have:
time = 200 pounds / 166.67 pounds per minute ≈ 1.2 minutes
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g (b) show that among a group of 621 people, there are at least 21 who are born on the same day of the month (e.g., the 21st or the 12th, etc.). is the same fact true if there are only 620 people?
There would be 20 more of us (620-600). There would have been a day when more than 20 people would have been born.
A counting-based argument is known as a combinatorial argument or combinatorial proof. This line of reasoning has already been used, for instance in the section on Stirling numbers of the second sort.
It is mentioned that 620 persons shared the same month of birth. Assume that there were 30 days in the month to avoid losing generality. We'll demonstrate that through contradiction, assuming there were no more than 20 births on any one day throughout that month.
(Beyond that, we have the outcome.)
Now within Thirty Days, 30 * 20 births made up the total. However, since the population was 621 strong, another 21 persons had to be born on a day within that month. Note that the pigeon-hole principle was used in this instance. As a result, someday x, more than twenty people will be born. Consequently, there are at least 21 people who share a birthday.
The outcome would be the same whether there were 620 people. The discussion we had led to this. Keep in mind that in this scenario, we would have 20 more people (620-600). Therefore, a day when more than 20 people were born would have come.
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Jake’s family is moving to a new home. They packed 22 boxes in \large 1\small \frac{5}{6} hours. What is the average number of boxes they packed per hour?
Answer:
12 boxes per hour
Step-by-step explanation:
22 boxes in 1 5/6 hours
22 /11/6
22 *6/11=12
Hope this helps plz hit the crown :D
600 miles divided by 28
Answer:
21.4285714 miles
Step-by-step explanation:
Answer: 21.4285714 miles. There you go!
I May be Overthinking, But I Keep getting Stuck In Between Choosing 8/49 or 4/49, Can You Help Me Fix This Sequence?
The sequence will be; 8/49, 14/49, 20/49, 26/49
What is a fraction?A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
We are given that the sequence as;
8/49, 2/7, 20/49, 26/49
so, we can see the pattern as the denominator is the multiple of 7.
So multiply the second term by 7.
2/7 = 14/49
therefore, the sequence will be;
8/49, 14/49, 20/49, 26/49
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Help plz
Use substitution to determine whether the system below has no solutions, infinitely many solutions, or one solution.
15x + 5y = 20
y = 8 − 3x
Group of answer choices
no solution
one solution
infinitely many solutions
Answer:
No solution
Step-by-step explanation:
15x+5y=20 8-3x
substitute one unknown quantity into the elimination
15x+5(8-3x)=20
solve the equation
nosolution