Answer:
The slope of F = 5.
Not 100% sure.
Please please PLEASEEEEE HELP !!
helppp asap Given:
Prove: ΔKVM ~ ΔBVG
Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.
For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.
angle M and G are both 90° , this means they are equal.
angle KVM = BVG
therefore angle K = angle B
Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG
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Please help with this
Answer:
1. x = {-3, 3}
2. a = {-12, -2}
3. v = {-7, 10}
4. m = {-8, 8}
5. k = {-11, 1}
6. y = {-13, 19}
Step-by-step explanation:
|-2x| = 6
means that
-2x = 6 or -2x = -6
x = -3 or x = 3
|a + 7| = 5
means that
a + 7 = 5 or a + 7 = -5
a = -2 or a = -12
|8v-12| = 68
means that
8v-12 = 68 or 8v-12 = -68
8v = 80 or 8v = -56
v = 10 or v = -7
| m / -4 | + 1 = 3
| m / -4 | = 2
means that
m/-4 = 2 or m/-4 = -2
m = -8 or m = 8
3|k + 5| = 18
|k+5| = 6
means that
k + 5 = 6 or k + 5 = -6
k = 1 or k = -11
|2y - 6| / 4 = 8
|2y - 6| = 32
means that
2y - 6 = 32 or 2y - 6 = -32
y = 19 or m = -13
A 53.435 pound piece of metal is placed into graduated cylinder. The graduated cylinder read 3.585L before placin metal into the cylinder. After placing the metal in the cylinder the volume read 9.648L. What is the density in( g)/(m)l
To calculate the density of the metal, we need to use the formula: Density = Mass/Volume. In this case, the mass of the metal is given as 53.435 pounds.
However, we need to convert it to grams since the density is typically measured in grams per milliliter (g/mL). One pound is approximately equal to 453.592 grams. So, the mass of the metal can be converted to grams by multiplying 53.435 pounds by 453.592 grams/pound.
Next, we need to determine the volume of the metal in milliliters. The initial volume of the graduated cylinder was 3.585L, and after placing the metal in the cylinder, the volume read 9.648L. The difference in volume, 9.648L - 3.585L, represents the volume occupied by the metal.
Now, we can substitute the values into the density formula. Density = Mass/Volume = (53.435 pounds * 453.592 grams/pound) / (9.648L - 3.585L). The result will give us the density of the metal in grams per milliliter (g/mL). It's important to note that the final density value will depend on the accuracy and precision of the given measurements.
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how to subtract a whole number from a mixed fraction?
what is the most interesting or surprising thing you learned about converting between improper fractions and mixed numbers?
The interesting or surprising thing we can learn about converting between improper fractions and mixed numbers is that to know how large or small a fraction formed from mixed number.
A mixed number, or fraction is a number having two parts one is integer (whole number) and other is a proper fraction (having numerator is less than its denominator). An example of a mixed number is \(2\frac{1}{\\ 2} \\ \). An improper fraction is defined when the top number (numerator) is larger than the bottom number (denominator). For example, \( \frac{8}{5} \).
To change an improper fraction to a mixed number follow these steps.
Divide the numerator by the denominator to obtain a whole number with remainder. Substitute the remainder over the original denominator to form the fractional part.Write the whole number followed by its fractional part.The conversion between improper fractions and mixed numbers or mixed to improper is a best way to be able to understand fractions and recognize how large or small a fraction is.
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A randomized trial comparing the efficacy of two drugs showed a difference between the two (with a P-value < 0.05). Assume that in reality, however, the two drugs do not differ. This is, therefore, an example of:
Type I error can occur in any study or experiment, and it highlights the importance of considering the possibility of false positive results when interpreting statistical findings.
A randomized trial comparing the efficacy of two drugs showed a difference between the two (with a P-value < 0.05). Assume that in reality, however, the two drugs do not differ. This is, therefore, an example of a Type I error.
In statistics, a Type I error occurs when the null hypothesis is rejected, even though it is true. In this case, the null hypothesis would state that there is no difference between the two drugs. However, due to random chance or other factors, the trial yielded a statistically significant result indicating a difference between the drugs.
It's important to note that a Type I error can occur in any study or experiment, and it highlights the importance of considering the possibility of false positive results when interpreting statistical findings.
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Given this snippet of code, what is the value of x after executing the last statement? int x = 10, *y; y = &x; y = y + 1; *y = 100;
The value of x after executing the last statement is still 10.
After executing the last statement, the value of x is still 10. The snippet of code declares an integer variable x and a pointer variable y that points to the address of x. Then, y is incremented by 1 (which means it now points to the next memory location after x). Finally, the value 100 is assigned to the memory location pointed to by y, which is actually beyond the memory allocated for variable x. This can lead to unexpected behavior, but since the value of x is never modified directly, its value remains unchanged at 10.
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suppose that you and a friend are playing cards and decide to make a bet. if your friend draws two non-face cards, where a face card is a jack, a queen, or a king, in succession from a standard deck of 52 cards replacing the first card, you give him $30. otherwise, he pays you $50. if the same bet was made 20 times, how much would you expect to win or lose? round your answer to the nearest cent, if necessary.
I will win about $ 59.
This is a question of permutations and combinations.
We know that,
Probability of getting two non face cards = \(\frac{^{40}C_2}{{^{52}C_2}}\) = 10/17
Probability of not getting two non face cards = 1 - (10/17) = 7/17
Hence, we can write,
Money I will get = (7/17)*50*20 = $ 411.764
Money I'll have to pay = (10/17)*30*20 = $ 352.94
We know that,
Money left with me = Money I will get - Money I'll have to pay
Hence, we can write,
Money left with me = $ 411.764 - $ 352.94
Money left with me = 58.824 ≈ $ 59
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I know how to do it sorta, but i need to get it done, please help.
The equation, when stated to be either direct or inverse variation, and the possible constants of variation, are:
- 7x + 8y = - 1 - ⇒ Neither 5x = 25/y ⇒ Inverse variation ⇒ Constant of variation - 5How to determine the variation ?To determine whether 7x + 8y = -1 represents a direct or inverse variation, we need to rewrite it in the form y = kx or y = k/x.
y = (-7/8)x - 1/8
Since the equation is in the form y = (-7/8)x - 1/8, it has a constant term (-1/8), which means it does not represent a direct variation (y = kx). Since the equation is not in the form y = k/x or xy = k, it does not represent an inverse variation either.
The equation 5x = 25/y:
First, multiply both sides by y:
5xy = 25
Now, divide both sides by 5:
xy = 5
Since the equation is in the form xy = 5, it represents an inverse variation. The constant of variation, k, is 5.
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WILL GIVE BRAINLIEST
In the figures above, figure A is a square and figure B is a rhombus. If both quadrilaterals have a perimeter of 24, which quadrilateral has a longer side length?
Select one:
A. Figure A
B. Figure B
C. Both figure A and B have the same side length
D. Cannot be determined from the information given
Answer:
C
Step-by-step explanation:
Answer:
c.both figure a and b have the same side length
refer to exhibit 8-2. with a .95 probability, the sample mean will provide a margin of error of _____.
Referring to exhibit 8-2, we can see that the sample size is 400, and the population standard deviation is 10.
Based on these values, we can use the formula for the margin of error:
Margin of error = Z * (σ/√n)
Where Z is the Z-score for the desired level of confidence (in this case, 0.95), σ is the population standard deviation, and n is the sample size. Using a Z-score of 1.96 (which corresponds to a 0.95 confidence level), we can plug in the values:
Margin of error = 1.96 * (10/√400)
Simplifying this equation, we get:
Margin of error = 1.96 * (10/20) = 0.98
Therefore, with a 0.95 probability, the sample mean will provide a margin of error of approximately 0.98.
Based on Exhibit 8-2, with a 0.95 probability, the sample mean will provide a margin of error of "X" (please insert the value provided in the exhibit). This means that we can be 95% confident that the true population mean lies within the sample mean ± X.
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To avoid sharing his name with another famous Al, actor Albert Brooks changed his name from what? a. Al Pacino. b. Al Jolson. c. Albert Einstein.
d. Albert Schweitzer
Actor Albert Brook changed his surname to Albert Einstein to avoid sharing it with another well-known Al. Option C
In 1921, Albert Einstein received the Physics Nobel Prize in honor of his contributions to theoretical physics, particularly the creation of the law of the photoelectric effect. Despite moving to Switzerland in 1895 and giving up his German nationality the following year to become a citizen of the County of Württemberg, Einstein was born within the boundaries of the German Empire.
He enrolled in the program for teaching diplomas in physics and mathematics at the Swiss Federal University of Technology School in Zürich in 1897 as a 17-year-old, and he completed it in 1900.
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The table at the right shows the top ten total number of medals awarded at the 1996 summer olympic games in Atlanta Georgia. what is the average number of medals won?
The average number of medals won for the top ten total number of medals awarded at the 1996 summer olympic games in Atlanta Georgia is 46.7.
How to calculate the average?The top ten total number of medals awarded at the 1996 summer Olympic games in Atlanta Georgia include:
USA - 101
Russia - 63
Germany - 65
China - 50
France - 37
Italy - 35
Australia - 41
Cuba - 25
Ukraine - 23
South Korea - 27
Therefore, it should be noted that the average will be the addition of the numbers divided by 10. This will be:
= (101 + 63 + 65 + 50 + 37 + 35 + 41 + 25 + 23 + 27)/10
= 467/10
= 46.7
Therefore the mean of the number of medals won is 46.7.
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Use a definite integral to find the area under the curve between the given x-values. f(x) = 3 x from x = 1 to x = 8
Answer: 94.5
Step-by-step explanation:
Given
Function is \(f(x)=3x\) and the boundary is \(x=1\ \text{to}\ x=8\)
Integrating the function
\(\Rightarrow I=\int_{1}^{8}f(x)dx\\\\\Rightarrow I=\int_{1}^{8}3xdx\\\\\Rightarrow I=\left ( \frac{3x^2}{2} \right )_1^8\\\Rightarrow I=1.5(8^2-1^2)=1.5(64-1)\\\Rightarrow I=94.5\)
The value of integral is 94.5
The ratio of Aspens to Ponderosa Pines in a part of a forest is 12 to 16. If there are 12 ponderosa Pines, how many Aspens are there?
If there are 12 ponderosa Pines then there will be 9 Aspens .
In the question ,
it is given that
the ratio of Aspens to Ponderosa Pines is 12 to 16 .
which is Aspens : Ponderosa = 12 : 16
it can be written as number of Aspens = 12x
and number of Ponderosa Pines = 16x
given in the question , that number of Ponderosa pines = 12
16x = 12
x = 12/16
x = 3/4
So , number of Aspens = 12x = 12(3/4) = 3*3 = 9
number of Aspens = 9
Therefore , If there are 12 ponderosa Pines then there , will be 9 Aspens .
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Tell whether the given value is a solution of the inequality.
15n > -3; n = -2
Answer: no
Step-by-step explanation:
evaluate begin inline style sum from n equals 3 to 7 of end style left parenthesis n squared plus 2 n right parenthesis .
The sum of the given expression from n = 3 to 7 is 241.
The given expression is to be evaluated from n = 3 to 7. The given expression is,begin{align*}\sum_{n=3}^{7} (n^2 + 2n)\end{align*}Now, we can substitute the values of n and add them up to evaluate the expression. So, the sum of the expression is, \begin{align*}\sum_{n=3}^{7} (n^2 + 2n) &= (3^2 + 2 \cdot 3) + (4^2 + 2 \cdot 4) + (5^2 + 2 \cdot 5) \\&\qquad+ (6^2 + 2 \cdot 6) + (7^2 + 2 \cdot 7)\\&= 9 + 20 + 35 + 72 + 105\\&= \boxed{241}.\end{align*}.
Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the phrase x + y is one where x and y are terms with an addition operator in between. There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.
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Find the equation of the line that is parallel to the line y = 2x - 5 and passes through the point (-1,3).
Answer:
y=2x+5
Step-by-step explanation:
If you graph it you can figure out the starting point of the parallel line.
The rate of change is 2 and since the point the parallel line needs to pass through is (-1,3) you need to shift the starting point (y-intercept) up by 10 units.
Shifting the y-intercept of y=2x-5 up by 10 makes the new line y=2x+5.
i don’t I understand please help
Help!! Khan academy geomtry practice
Answer:
33.51 units³
Step-by-step explanation:
Volume of a sphere is given by the formula :
V = \(\frac{4}{3} \pi r^{3}\)
Because we have the radius we can plug it into the equation to give us :
V = (4/3)×π×(2)³
V = 4/3×8π
V ≈ 33.51
Units will be units³ since no measurement is given but it to the power of 3 since it is volume.
MODELING REAL LIFE The function D(t) = 75 -0.3r represents the number of gigabytes left after downloading a video game for t
minutes.
a. How many gigabytes are left to download after 90 minutes?
gigabytes
b. How long will it take to download the entire video game?
min or
hr
min
Answer:
a) 48 gigabytes
b) 250 minutes, or 4 hours 10 minutes
Step-by-step explanation:
For D(t) = 75 -0.3t modeling the number of remaining gigabytes to download after t minutes, you want to find D(90) and t such that D(t) = 0.
a) RemainingD(90) = 75 -0.3·90 = 48
After 90 minutes, 48 gigabytes are left to download.
b) Total timeThe time required to complete the entire download is given by ...
0 = 75 - 0.3t
0 = 250 -t . . . . . divide by 0.3
t = 250 . . . . . . add t
It will take 250 minutes, or 4 hours 10 minutes to download the entire game.
__
Additional comment
The attached calculator screen shows conversion to hours and minutes. Hours, minutes, seconds are computed "base-60" the same way that Degrees, minutes, seconds are computed "base-60". 250 minutes is converted to hours by dividing by 60 min/hour. We can use the →DMS function of the calculator to show decimal or fractional hours in hours : minutes : seconds. In this use of that function, degrees represents hours.
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Write the simplified form of (-0.5z + 0.9z) – (-0.3z + 0.9z) please help me im confused
do u like beans?Step-by-step explanation: hope it helps
Answer:
-0.2z
Step-by-step explanation:
-0.5z + 0.9z - ( -0.3z+0.9z) open paranthesis and change the sign of all terms
-0.5z + 0.9z + 0.3z - 0.9z combine terms
-0.5z+0.3z= -0.2z
Help!
Line s has an equation of y= -7/10x-1. Line t, which is parallel to line s, includes the point (-6,5). What is the equation of line t?
Answer:
\(y = -\frac{7}{10}x + \frac{4}{5}\)
Step-by-step explanation:
Parallel lines have the same slope.
Given that line s is represented by the linear equation, \(y = -\frac{7}{10}x - 1\), then line t must have the same slope of \(-\frac{7}{10}\).
All we have to do at this point is use line t's slope, m = \(-\frac{7}{10}\), and the given point, (-6, 5), to solve for the y-intercept, b:
y = mx + b
\(5 = -\frac{7}{10}(-6) + b\)
\(5 = \frac{42}{10} + b\)
\(5 = \frac{21}{5} + b\)
Subtract \(\frac{21}{5}\) from both sides:
\(5 - \frac{21}{5} = \frac{21}{5} - \frac{21}{5} + b\)
\(\frac{4}{5}\) = b
Therefore, the equation of line t that is parallel to line s is: \(y = -\frac{7}{10}x + \frac{4}{5}\).
let x(t) = cos(75t). if we sample x(t) at the nyquist frequency, what is the resulting discrete frequency
If we sample the function x(t) = cos(75t) at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is equal to half of the highest frequency component in the continuous signal.
In this case, the highest frequency component in x(t) is 75 Hz, as determined by the coefficient of t in the cosine function. According to the Nyquist-Shannon sampling theorem, to accurately represent a signal, the sampling frequency must be at least twice the highest frequency component. Therefore, the Nyquist frequency in this scenario would be 2 * 75 Hz = 150 Hz.
Since we are sampling at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is 150 Hz / 2 = 75 Hz. Hence, when sampling x(t) at the Nyquist frequency, the resulting discrete frequency would be 75 Hz.
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Maximize Z=12*1+16* 2 Subject to the constraints 10* 1 +20* 2
<=120; 8x_{1} + 8x_{2} <= 80 and x_{1}; x_{2} > 0 Solve
through graphical method
The optimal solution, obtained through graphical method, is: x₁ = 4, x₂ = 2, with the maximum value of Z = 80.
To solve the given linear programming problem graphically, we start by plotting the feasible region defined by the constraints:
Constraint 1: 10x₁ + 20x₂ ≤ 120
Constraint 2: 8x₁ + 8x₂ ≤ 80
Non-negativity constraint: x₁ ≥ 0, x₂ ≥ 0
The feasible region is the area of the graph that satisfies all the constraints.
Next, we calculate the objective function Z = 12x₁ + 16x₂. We plot the objective function as a line on the graph.
The optimal solution, which maximizes Z, is the point where the objective function line intersects the boundary of the feasible region.
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How to find the length of the segment indicated?
Answer:
Step-by-step explanation:
it is 2x
A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogram. Assuming the weight loss happened at a constant rate, about how many pounds did the group lose each day?
Answer:8.8 pounds a day
Step-by-step explanation:
7 days in a week
28/7=4 kg a day
2.2*4=8.8
8.8 pounds
The american institute of certified tax planners reports that the average u.s. cpa works 60 hours per week during tax season. do cpas in states that have flat state income tax rates work fewer hours per week during tax season? conduct a hypothesis test to determine if this is so.
a. formulate hypotheses that can be used to determine whether the mean hours worked per week during tax season by cpas in states that have flat state income tax rates is less than the mean hours worked per week by all u.s. cpas during tax season?
b. based on a sample, the mean number of hours worked per week during tax season by cpas in states with flat tax rates was 55. assume the sample size was 150 and that, based on past studies, the population standard deviation can be assumed to be σ = 27.4. use the sample results to compute the test statistic and p-value for your hypothesis test.
c. at α = .05, what is your conclusion?
a. Null hypothesis (H0): μ1 = μ2 and Alternative hypothesis (H1): μ1 < μ2. b. The test statistic is -2.57 and p-value is 0.005 for the hypothesis test. c. At α = 0.05 it can be concluded that CPAs in states with flat state income tax rates work fewer hours per week during tax season compared to the average U.S. CPAs.
a. First, let's formulate the hypotheses:
Null hypothesis (H0): μ1 = μ2, which means that the mean hours worked per week during tax season by CPAs in states with flat state income tax rates is equal to the mean hours worked per week by all U.S. CPAs during tax season.
Alternative hypothesis (H1): μ1 < μ2, which means that the mean hours worked per week during tax season by CPAs in states with flat state income tax rates is less than the mean hours worked per week by all U.S. CPAs during tax season.
b. Now, let's compute the test statistic and p-value using the given sample data:
Sample mean (x) = 55 hours
Population mean (μ) = 60 hours
Population standard deviation (σ) = 27.4 hours
Sample size (n) = 150
We'll use the z-test for this hypothesis test:
z = (x - μ) / (σ / √n) = (55 - 60) / (27.4 / √150) ≈ -2.57
To find the p-value, we need to look up the z-value in the standard normal table, which gives us a p-value of approximately 0.005.
c. Lastly, let's draw our conclusion using α = 0.05:
Since the p-value (0.005) is less than α (0.05), we reject the null hypothesis (H0). This suggests that CPAs in states with flat state income tax rates work fewer hours per week during tax season compared to the average U.S. CPAs.
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What Is y=13-x slope and y intercrept
Answer: slope -1; y-intercept is 13, (0,13)
Step-by-step explanation:
We rewrite the function as y = -x + 13
y = mx + b; m is the slope, b is the intercept, by comparison, we found that the slope is -1, and the y-intercept is 13.