Round to the nearest tenth.
Answer:
8.2 units
Step-by-step explanation:
Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC
Recall the Law of Cosines
\(a^2=b^2+c^2-2bc\cdot cos(A)\)
Identify angles and sides
\(m\angle A=23^\circ\\a=BC=?\\b=AC=14\\c=AB=6\)
Solve for side "a"
\(a^2=b^2+c^2-2bc\cdot cos(A)\\\\a^2=14^2+6^2-2(14)(6)\cdot cos(23^\circ)\\\\a^2=196+36-168cos(23^\circ)\\\\a^2=222-168cos(23^\circ)\\\\a=\sqrt{222-168cos(23^\circ)}\\ \\a\approx8.2\)
Therefore, the length of line segment BC is about 8.2 units
Answer:
the answer is 8.2 units
Step-by-step explanation:
wait wait wait change my mind change my mind ill take champ back you didnt say nothin bout it meanin brave
Samuel is arranging books in shelves at their library. He has 80 books to arrange he needs to put the same number of books on each shelf, and he needs to use all of the books. Between 9, 10 and 11 shelves, which is his best choice for the number of shelves that he can use?
(Show the solution and do not use Division (optional) and use the Divisibility rules of numbers)
Answer:
10 shelves
Step-by-step explanation:
out of the other choices, 10 is most suitable to divide with 80
An account pays 9% per year simple interest. In year 1, the amount in the
account is $750. How much is in the account in year 6?
Answer:
$405
Step-by-step explanation:
SI=PTR/100
=9*1*750/100
=$ 67.50
In 6 yrs= 67.50*6
=$405
Answer:
The answer is $1087.50
I got it wrong because someoneeeeeee didnt give the right answer (2 people to be exact)
A mouse has made holes in opposite corners of a rectangular kitchen. Starting from its hole
in the northwest corner, the mouse scurries 20 feet along the length of the kitchen to reach a
piece of cheese in the southwest corner. Then the mouse scurries 15 feet along the width of
the kitchen to its other hole in the southeast corner. Finally the mouse scurries back to the
first hole. What is the total distance the mouse scurries?
Answer:
60 ft
Step-by-step explanation:
a² + b² = c²
20² + 15² = c²
c = √625
c = 25
total distance = 20 ft + 15 ft + 25 ft = 60 ft
What is a pair of 3 called?
A "pair of 3" is not a commonly used term.
A set of 3 numbers can be called a triplet, or a set of 3 items can be called "a set of three".
Please let me know if you want me to clarify about something else.
(Multiple Choice, 20 pts)
Solve the rational equation 3 divided by x equals quantity 4 times x plus 3 divided by x squared, and check for extraneous solutions.
A. x = 0; x = 3 is an extraneous solution
B. x = 3; x = 0 is an extraneous solution
C. x = 0; x = −3 is an extraneous solution
D. x = −3; x = 0 is an extraneous solution
Answer:
x = -3, x = 0 is a extraneous solution
Step-by-step explanation:
Step 1: Cross-multiply
3x² = 4x² + 3x
Step 2: Isolate x's
0 = x² + 3x
Step 3: Factor
0 = x(x + 3)
Step 4: Find roots
x = 0, -3
Step 5: Double check work
Plug in both to see if they both work. Only x = 0 should be extraneous. We now have our answer!
Answer:
x = -3, x = 0 is a extraneous solution
Step-by-step explanation:
the person above is correct
What is 5% of 240? Please help
Answer:
12
Step-by-step explanation:
P = (x% * y)
P = (5% * 240)
p = 5/100 = 0.05
P = (0.05 * 240)
P = 12
Answer:
12%
Step-by-step explanation:
5 percent *240
= (5/100)*240
= (5*240)/100
= 1200/100 = 12
if d is the standard deviation of x, y, and z, what is the standard deviation of x 5, y 5, and z 5 ?
If we add any constant term in the variable then the standard deviation remains same. So it is not change.
In the given question, d is the standard deviation of x, y, and z.
We have to find the standard deviation of x+5, y+5, and z+5.
As we know that;
Data distribution in reference to the mean is measured by a standard deviation, or. Samples are said to be more narrowly collected around the mean when the standard deviation is minimal and more dispersed when the standard deviation is higher.
While a high or low standard deviation implies that data points are, respectively, above or below the mean, a standard deviation that is close to zero suggests that data points are, on the other hand, relatively close to the mean.
If we see that in each variable x, y, z a constant value 5 is added.
If we add any constant term in the variable then the standard deviation remains same. So it is not change.
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The right question is:
If d is the standard deviation of x, y, and z, what is the standard deviation of x+5, y+5, and z+5?
An equation was created for the line of best fit from actual enrollment data. It was used to predict the dance studio enrollment values shown in the table:
Enrollment Month
January February March April May June
Actual 500 400 550 550 750 400
Predicted 410 450 650 650 600 450
Residual 90 −50 −100 −100 150 −50
Analyze the data. Determine whether the equation that produced the predicted values represents a good line of best fit. (1 point)
No, the equation is not a good fit because the sum of the residuals is a large number.
No, the equation is not a good fit because the residuals are all far from zero.
Yes, the equation is a good fit because the residuals are not all far from zero.
Yes, the equation is a good fit because the sum of the residuals is a small number.
The correct option regarding the linear regression equation is:
No, the equation is not a good fit because the sum of the residuals is a large number.
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
In possession of the equation, the residuals are given by the difference of the predicted values(with the equation) and the actual values.
The model represents a good fit if the sum of the residuals is close to 0.
For this problem, the sum of the residuals is given by:
90 - 50 - 100 - 100 + 150 - 50 = -60.
The sum is a large number, hence the model is not a good fit.
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Martin uses his power saw every 15 seconds.How many times did he use it in one hour ?
Answer:
60÷15 =4Therefore Martin uses his power saw 4 times in one hour
Answer:
60/15=4
Step-by-step explanation:
He uses his power saw every 15 that inside of an hour is 4 because when you do the division its going to = 4
Help please, I suck at maths
Answer:1, 5
Step-by-step explanation:
divide the expression to get your answer then divide the choices on the right. find the ones with the same answer.
Answer:
7,610/50
.761/.005
Step-by-step explanation:
Compare both expressions' sums and check them off.
The purpose of using a sample and calculating a mean is to a find the average for the sample b determine the dispersion of the sample c estimate the mean of the population d estimate sample size
The correct option is c) The purpose of using a sample and calculating a mean is to estimate the mean of the population.
When we take a sample from a larger population, it is often impractical or impossible to measure or observe every individual in the population. Instead, we select a subset of individuals, known as a sample, and collect data from them.
By calculating the mean of the sample, we obtain an estimate of the population mean.
The sample mean is considered an unbiased estimator of the population mean, meaning that, on average, it will be equal to the population mean.
By using the sample mean, we can make inferences about the population mean and draw conclusions about the larger population based on the characteristics observed in the sample.
Therefore, the correct option is C). The primary purpose of calculating a mean from a sample is to estimate the mean of the population.
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if a is an n × n matrix, how are the determinants det a and det(5a) related? Remark: det(5A) = 5 det A only in the trivial case of 1 Times 1 matrices How are the determinants det A and det B related if A = a1 a2 a3
b1 b2 b3 c1 c2 c3), B = 2a1 3a2 5a3 2b1 3b2 5b3 2c1 3c2 5c3;
The determinants det a and det(5a) are related by a scalar multiplication of 5^n, where n is the dimension of the matrix a. In other words, det(5a) = (5^n) det a. This is because multiplying a matrix by a scalar multiplies its determinant by the same scalar raised to the power of the matrix's dimension.
For the second part of the question, the determinants det A and det B are related by det B = (2*3*5) det A = 30 det A. This is because multiplying a row of a matrix by a scalar multiplies its determinant by the same scalar, and multiplying a matrix by a scalar multiplies its determinant by the same scalar raised to the power of the matrix's dimension.
The determinant of a matrix represents the scaling factor of the matrix's transformation on the area or volume of the space it is operating on. Scalar multiplication of a matrix by a scalar s multiplies its determinant by s^n, where n is the dimension of the matrix. This is because the determinant is a linear function of its rows (or columns), and multiplying a row (or column) by a scalar multiplies the determinant by the same scalar.
For the second part of the question, we can use the fact that the determinant of a matrix is unchanged under elementary row operations, and that multiplying a row of a matrix by a scalar multiplies its determinant by the same scalar. We can therefore multiply the first row of A by 2, the second row by 3, and the third row by 5 to obtain B. This multiplies the determinant of A by the product of the three scalars, which is 2*3*5 = 30.
In summary, the determinants of a matrix and its scalar multiple are related by a power of the scalar equal to the dimension of the matrix. Additionally, the determinant of a matrix is multiplied by the product of the scalars used to multiply each row (or column) of the matrix when performing elementary row operations.
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the hydrate CoCl2 x XH2O decomposes to CoCl2, whose mass is 53.9% of the hydrate mass. What is the value of X in the hydrate formula?
Answer:
4
Step-by-step explanation:
Let's start by assuming that the initial mass of the hydrate CoCl2 x XH2O is 100 grams. This means that the mass of the anhydrous compound CoCl2 after decomposition is 53.9 grams (since it is 53.9% of the hydrate mass).
The mass of water lost during the decomposition is therefore:
Mass of water lost = Initial mass of hydrate - Mass of anhydrous compound
Mass of water lost = 100 g - 53.9 g
Mass of water lost = 46.1 g
The molar mass of CoCl2 is 129.8 g/mol, and the molar mass of H2O is 18.0 g/mol. Therefore, the molar mass of the hydrate CoCl2 x XH2O is:
Molar mass of hydrate = Molar mass of CoCl2 + Molar mass of H2O × X
Molar mass of hydrate = 129.8 g/mol + 18.0 g/mol × X
We can set up a proportion to solve for X:
Mass of water lost / Molar mass of water = X / Molar mass of hydrate
Plugging in the values we found:
46.1 g / 18.0 g/mol = X / (129.8 g/mol + 18.0 g/mol × X)
Solving for X:
46.1 g / 18.0 g/mol = X / (129.8 g/mol + 18.0 g/mol × X)
2.56 mol = X / (129.8 g/mol + 18.0 g/mol × X)
2.56 mol × (129.8 g/mol + 18.0 g/mol × X) = X
331.968 g/mol × X + 46.368 g/mol × X = X
378.336 g/mol × X = X
X = 4
Therefore, the value of X in the hydrate formula CoCl2 x XH2O is 4, and the formula of the hydrate is CoCl2 x 4H2O.
help me please, please
The little square means a right angle which is equal to 90 degrees.
X + 30 = 90
X = 60 degrees
Which rule explains why these triangles are congruent?
С
F
А
B
G
ASA
SSS
AAS
SAS
help urgently please
Answer:
Side Angle Side
Step-by-step explanation:
Describe in your own words:
(1) Describe in your own words, what an FPGA is?
(2) Give five non-synthesizable constructs and explain, in your own words, why they cannot be synthesized.
(3) Draw the general structure of an FPGA.
(4) What is the difference between an FPGA and a PLA?
(5) In your own words, explain the FPGA design flow.
(6) Explain, in your own words, what synthesis is in the context of integrated circuit design?
There are different types of FPGA architectures. FPGAs have a wide range of applications in various fields, including:
1) Digital Signal Processing (DSP):
FPGAs are commonly used for implementing digital filters, audio and video processing, image compression, and other DSP algorithms. The parallel processing capabilities of FPGAs make them well-suited for real-time signal processing applications.
2) High-Performance Computing (HPC):
FPGAs can be used to accelerate computationally intensive tasks in HPC systems. They can be customized to perform specific computations, such as encryption, decryption, and data compression.
3) Embedded Systems:
FPGAs are often used in embedded systems for implementing complex control logic, interfacing with different peripherals, and integrating multiple functions into a single chip.
4) Aerospace and Defense:
FPGAs are extensively used in aerospace and defense applications due to their reconfigurability, reliability, and radiation tolerance. They are employed in radar systems, communication systems, avionics, and military-grade encryption.
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a translation 3 units left and 2 units up
Answer:
Assuming you are asking how to do it you would first move the point on the graph to the left 3 units going towards the negative qudrant. Afterwards, you would move the point you just moved upwards 2 in this case.
Step-by-step explanation:
Lillian is ordering a flower arrangement with roses and carnations. She doesn't want to spend
more than $36 on the arrangement. Roses cost $6 each and carnations cost $1 each.
Select the inequality in standard form that describes this situation. Use the given numbers
and the following variables.
x = the number of roses
y = the number of carnations
x + y = 36
1 + x + 6 + y = 36
6 + x + 1 + y = 36
6x +y 36
Answer:
6x+y=36
Step-by-step explanation:
6x - A rose is $6 and you do not know how many she will buy so you would put an "x" after that symbolizing how many she will buy.
y - Carnations cost $1 and the amount purchased is unknown so you would use "y". Because they cost 1 dollar, you will not need to add 1 in front of "y" because "y" by itself is already known as one variable.
36 - The total cost of the arrangement is ultimately going to be $36
the maintenance department at the main campus of a large state university receives daily requests to replace fluorecent lightbulbs. the distribution of the number of daily requests is bell-shaped and has a mean of 53 and a standard deviation of 10. using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 53 and 63?
the approximate percentage of lightbulb replacement requests numbering between 53 and 63 is 68%.
The 68-95-99.7 rule, also known as the empirical rule, states that for a normal distribution:
- Approximately 68% of the data falls within one standard deviation of the mean.
- Approximately 95% of the data falls within two standard deviations of the mean.
- Approximately 99.7% of the data falls within three standard deviations of the mean.
In this case, we have a bell-shaped distribution of the number of daily requests for lightbulb replacement, with a mean of 53 and a standard deviation of 10.
To find the approximate percentage of lightbulb replacement requests numbering between 53 and 63, we need to calculate the area under the curve between these two values.
Since the mean is 53 and the standard deviation is 10, the range of interest falls within one standard deviation above the mean (63) and one standard deviation below the mean (43).
Using the empirical rule, we know that approximately 68% of the data falls within this range.
Therefore, the approximate percentage of lightbulb replacement requests numbering between 53 and 63 is 68%.
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John rode his dirt bike 45 miles in two hours. At this rate, how many miles will he travel in 1/2 an hour?
Answer:
11.25 miles
Step-by-step explanation:
To figure out how many miles John will travel in 1/2 an hour, we can use the following formula:
distance = rate x time
We know the rate, which is the number of miles John can travel per hour. We can find this by dividing the total distance by the total time:
rate = distance / time
rate = 45 miles / 2 hours
rate = 22.5 miles per hour
Now we can use this rate and the given time of 1/2 an hour to find the distance:
distance = rate x time
distance = 22.5 miles per hour x 1/2 hour
distance = 11.25 miles
Therefore, John will travel 11.25 miles in 1/2 an hour at this rate.
what is the solution to x?
Answer:
Step-by-step explanation:
By geometric mean theorem,
In a triangle ABC,
\(\frac{BC}{AC}=\frac{CD}{BC}\)
\(\frac{y}{(4+6)}=\frac{6}{y}\)
y² = 60
y = √60
y = 7.75
Similarly, \(\frac{AB}{AC}=\frac{AD}{AB}\)
\(\frac{x}{(4+6)}=\frac{4}{x}\)
x² = 40
x = √40
x = 6.32
Malik is making coffee using a recipe that calls for 2 cups of milk for every 5 cups of coffee
beans.
a.If he uses 5 cups of milk, how many cups of coffee beans should he use?
b. If he uses 17.4 cups of coffee beans, how many cups of milk should he use?
c. Write an equation that represents the relationship between cups of milk and cups of coffee beans. Be sure to define your variables:
d. What was the constant of proportionality in your equation above? Explain the meaning of the number.
You can choose which part you wanna do and you don’t have to do all.
Answer:
A. 12.5 cups of coffee
B. 6.96 cups of milk
Those are the only ones I have the brain power to do so..........
Hope this helped!!!
Consider the number /8 . Rewrite this number using rational exponents
The number after using rational exponents will be 2✓2.
The major rational properties are commutative property, closure property, associative property and distributive property. To solve this question, the rational property to be used is :
\( \sqrt[n]{ab} = \sqrt[n]{a} \times \sqrt[n]{b} \)
As per the known fact, we can write 8 as 2²×2. So, Number = ✓2²×2
Using rational property we will rewrite this number as -
Number = ✓2² × ✓2
Solving the square root
Number = 2✓2
Therefore, as per the rational property we can write the number as 2✓2.
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find the unit rate
80 inches in 5 hours
options -
16/1
1/ 1/5
80/5
1/16
Answer:
16 inches per hour.
Step-by-step explanation:
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 5
T/F the proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the .
The proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the coefficient of determination.
What is coefficient of determination?
The effectiveness of a statistical model in forecasting a result is shown by the coefficient of determination (R²). The dependent variable in the model is a representation of the result.
R² can have a value of 0 or 1, with 1 being the maximum achievable. Simply said, a model's R² will be closer to 1 the more accurate its predictions are.
R² is a more precise measure of goodness of fit. The amount of volatility in the dependent variable that the model can account for.
You can typically tell whether your linear regression data's R² is high or low by graphing it. The graphs below, for instance, display two sets of simulated data:
Dots represent the observations.
The line of best fit, or predictions of the model, is displayed as a black line.
Purple lines represent the deviations (the residuals) between the data and their expected values.
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may you please answer this question
Answer:
Step-by-step explanation:
Vertically opposite angles are congruent.
∠A = ∠C
∠A + ∠C = 254
∠A + ∠A = 254
2∠A = 254
∠A = 254/2
∠A = 127
Linear Pair: In two adjacent angles, if the non common arms are opposite rays, then they are called linear and they add up to 180
∠A + ∠B = 180 {linear pair}
127 + ∠B = 180
∠B = 180- 127
∠B = 53°
help please, solve for D
12
25
4
5
Answer: 81.98274589 is what i got but it will be 81 hope this helped
Step-by-step explanation:
Giving Brainliest to the first answer that's correct!!!
Triangle X Y Z is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right angle. The length of W Y is 4, the length of Y X is a, the length of Z Y is 3, the length of Z W is c, and the length of W X is b.
What is the value of a?
A.) 5 units
B.) 5 and one-third units
C.) 6 and two-thirds units
D.) 7 units
Answer:
B
Step-by-step explanation:
I think its B but dont trust my math lol xd
Answer:
B
Step-by-step explanation:
5 and one-third units
A father a son are standing beside each other in the sun. The father is 2 meters tall and casts a shadow 4 meters long. The son is 1 meter long. How long is his shadow
Answer:
to find the sons shadow you would simply multiply the length of his body by 2, therefore his shadow would be 2 meters long
The height of shadow is 2 meter long.
We have,
The father is 2 meters tall and casts a shadow 4 meters long.
let the length of shadow be x.
Using proportion
2/4 = 1/ x
2x = 4
x =4 /2
x = 2 meter
Thus, the height is 2 meter tall.
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