Classify the triangle based on its angles
Answer:
Right-angled triangle
Step-by-step explanation:
It has a square angle, meaning it is a right angle, which is \(90^{o}\), making it a right angled triangle
When solving for x, the sine of 33º is used. What other angle and trigonometric function could be used to solve for x? a. cos 57º c. tan 57º b. tan 33º d. cos 33º
hurry
Answer:
The answer is A.Cos 57.
Step-by-step explanation:
Took the test..
The circumference of the hub cap of a tire is 82.21 centimeters. Find the area of this hub cap. Use
3.14 for it. PLEASE HELP ME
\(\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=82.21 \end{cases}\implies 82.21=2\pi r\implies \cfrac{82.21}{2\pi }=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi \left( \cfrac{82.21}{2\pi } \right)^2\implies A=\cfrac{82.21^2}{4\pi }\implies A\approx 538.1\)
1. What is the value of this expression when c = 4?
4C+ 3c- 2c
Answer:
20
Step-by-step explanation:
4(4)+3(4)-2(4)=20
Joe writes to zack and does not recieve a answer. Assuming that one letter in n is lost in the mail, find the chance that zack recieved the letter.
The chance that zack received the letter is (n-1) / (2n-1).
What is probability?Probability is the branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty. The probability of an event can be calculated using the probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.To find the chance that zack received the letter:
let X = Probability that there is no reply & B got the letter is(n-1)/n*1/n
let Y = Probability that there is no reply & B did NOT get the letter is (n-1)/n * 1X / (X+Y) = (n-1) / (2n-1)Therefore, the chance that zack received the letter is (n-1) / (2n-1).
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The correct question is given below:
Joe writes to zack and does not receive an answer. Assuming that one letter in n is lost in the mail, find the chance that zack received the letter. It is to be assumed that Zack would have answered the letter if he had received it.
SPSS is an analytics software. Its manual sales (# sold) per quarter for seven years are provided in a spreadsheet, along with a growth variable "time trend". Your task is to advice management on when it would be best for SPSS to invest money in online advertising in order to increase sales.Construct an appropriate regression model after first examining a scatter plot of the sales data. State your final estimated equation along with p-values.Interpret the slope coefficients from the model.Finally, state in one sentence your advice to management regarding online advertising, making sure to explicitly use the analytics in justifying your recommendation.
To help management decide when to invest in online advertising for increasing SPSS manual sales, you should follow these steps:
1. Open the spreadsheet containing the sales data and the time trend variable.
2. Examine a scatter plot of the sales data to identify any trends or patterns.
3. Using SPSS or another statistical software, construct a linear regression model with manual sales as the dependent variable and the time trend as the independent variable.
4. Analyze the output, focusing on the estimated equation, slope coefficients, and p-values.
Assuming you've completed the analysis and obtained the following example results: - Estimated equation: Sales = a + b(Time Trend) - Slope coefficient (b): 1.2 - P-value: 0.01 Interpretation: The slope coefficient of 1.2 indicates that for every unit increase in the time trend variable, manual sales are expected to increase by 1.2 units.
The p-value of 0.01, which is less than the typical significance level of 0.05, suggests that the relationship between the time trend and sales is statistically significant.
Advice to management: Based on the analytics, investing in online advertising when the time trend is increasing will likely result in higher manual sales, as the significant positive relationship between time trend and sales suggests a strong connection between the two variables.
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To help management decide when to invest in online advertising for increasing SPSS manual sales, you should follow these steps:
1. Open the spreadsheet containing the sales data and the time trend variable.
2. Examine a scatter plot of the sales data to identify any trends or patterns.
3. Using SPSS or another statistical software, construct a linear regression model with manual sales as the dependent variable and the time trend as the independent variable.
4. Analyze the output, focusing on the estimated equation, slope coefficients, and p-values.
Assuming you've completed the analysis and obtained the following example results: - Estimated equation: Sales = a + b(Time Trend) - Slope coefficient (b): 1.2 - P-value: 0.01 Interpretation: The slope coefficient of 1.2 indicates that for every unit increase in the time trend variable, manual sales are expected to increase by 1.2 units.
The p-value of 0.01, which is less than the typical significance level of 0.05, suggests that the relationship between the time trend and sales is statistically significant.
Advice to management: Based on the analytics, investing in online advertising when the time trend is increasing will likely result in higher manual sales, as the significant positive relationship between time trend and sales suggests a strong connection between the two variables.
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write an equation for an ellipse if the endpoints of the major axis are at (–1, 5) and (–1, –3) and the endpoints of the minor axis are at (–4, 1) and (2, 1)
The equation of the ellipse is ((x + 1)^2) / 16 + ((y - 1)^2) / 9 = 1.
To write the equation of an ellipse, we need the coordinates of the center, the lengths of the major and minor axes, and the orientation of the ellipse. Given the endpoints of the major and minor axes, we can determine the center and lengths.
The center of the ellipse is the midpoint of the major axis, which is (-1, (5 + (-3)) / 2) = (-1, 1).
The length of the major axis is the distance between the endpoints, which is 5 - (-3) = 8.
The length of the minor axis is the distance between the endpoints, which is 2 - (-4) = 6.
Since the minor axis is horizontal, and the major axis is vertical, we have a vertical ellipse.
Now, we can write the equation of the ellipse in standard form:
((x - h)^2) / (a^2) + ((y - k)^2) / (b^2) = 1
where (h, k) is the center, and a and b are the lengths of the major and minor axes, respectively.
Plugging in the values we found, the equation of the ellipse is:
((x - (-1))^2) / (4^2) + ((y - 1)^2) / (3^2) = 1
Simplifying, the equation becomes:
(x + 1)^2 / 16 + (y - 1)^2 / 9 = 1
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Determine if the lines are parallel perpendicular or nether 10x+5y =-5 and y=-2x+6
The lines with the equations 10x+5y =-5 and y=-2x+6 are parallel
How to determine if the lines are parallel, perpendicular or nether?From the question, we have the following parameters that can be used in our computation:
10x+5y =-5 and y=-2x+6
Make y the subject in both equations
So, we have the following representation
y = -2x - 1 and y = -2x + 6
As a general rule of linear equations
Parallel lines have equal slope
A linear equation is represented as
y = mx + c
Where
slope = m
Using the above as a guide, we have the following:
The slope of y = -2x - 1 and y = -2x + 6 is -2
Hence, the lines are parallel
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Please answer the following question below
Answer:
65°
Step-by-step explanation:
The tangent is perpendicular to the diameter BD therefore m‹CBR=90°-25°=65°
Which expression is not equivalent to
3x – 2?
Answer:
Step-by-step explanation:
What are the options?
What is the ratio of future earnings to present earnings for a teacher that currently makes $20/hour and 20 years from now expects to earn $40/hour?
The ratio of Future earnings to present earnings for the teacher is 2. This means that the teacher expects to earn twice as much per year in 20 years as they currently do.
The ratio of future earnings to present earnings, we need to compare the amount of money the teacher will make in the future to the amount of money they make now. Let's assume that the teacher works the same number of hours per year over the next 20 years, so we can compare their annual earnings.
The teacher currently makes $20/hour, so their current annual earnings are:
$20/hour x hours worked per year = current annual earnings
We don't know how many hours the teacher works per year, so we'll leave this as a variable for now.
In 20 years, the teacher expects to earn $40/hour, so their future annual earnings will be:
$40/hour x hours worked per year = future annual earnings
To find the ratio of future earnings to present earnings, we simply divide the future annual earnings by the current annual earnings:
(future annual earnings) / (current annual earnings)
= ($40/hour x hours worked per year) / ($20/hour x hours worked per year)
= $40/$20
= 2
So the ratio of future earnings to present earnings for the teacher is 2. This means that the teacher expects to earn twice as much per year in 20 years as they currently do. However, it's worth noting that this calculation assumes that the number of hours worked per year remains constant over the 20-year period. If the teacher's working hours change, the actual ratio of future earnings to present earnings may be different.
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- 3/4 x 2/5
Please help
Answer:
-3/10 or 0.3
Step-by-step explanation:
hope this helps
Which function models the relationship
between the concentration of the
medication in milligrams, p(t), and the
number of hours since the medication
was taken, t?
Functiοn mοdels the relatiοnship between the cοncentratiοn οf the medicatiοn in milligrams is P(t) = 25.5(0.838)ˣ and number οf hοurs since the medicatiοn was taken, t is 2 hοurs.
The cοncentratiοn οf the drug in the blοοdstream at t = 8 hοurs is 24 mg/L. Frοm t= 0 tο t= 2 hr, the cοncentratiοn is increasing and after 2 hrs the cοncentratiοn is decreasing. The level οf the drug in the blοοdstream reaches its maximum value at t=2 hrs , and the cοncentratiοn in the blοοdstream at that time is 25.5 mg/L.
\After the drug reaches its maximum level in the blοοdstream, 8 additiοnal hοurs are required fοr the level tο drοp tο 16 mg/L. As at t= 10 hrs, cοncentratiοn is 16 mg/L and maximum cοncentratiοn is at t=2hrs. Sο, additiοnal hοurs= 10-2=8 hrs
P(t) = 25.5( 1-16.2%)ˣ
= 25.5((100 - 16.2)/100)ˣ
= 25.5(83.8/100)ˣ
P(t) = 25.5(0.838)ˣ
Hence, functiοn mοdels the relatiοnship between the cοncentratiοn οf the medicatiοn in milligrams is P(t) = 25.5(0.838)ˣ and number οf hοurs since the medicatiοn was taken, t is 2 hοurs.
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Complete question:
9. A patient has taken 25.5 mg of a prescribed medication. The concentration of the medication in the body decreases at a rate of 16.2% per hour.
Which function models the relationship between the concentration of the medication in milligrams, p(t), and the number of hours since the medication was taken, t?
Aaron paid $9.75 for pencils that cost $0.75 a peice how many pencils did he purchase
Answer:
The answer would be 13
Step-by-step explanation:
0.75 x 13 Hope this helps ya:)
please help with this
\((ax^{6} )^{\frac{1}{n} } =4x^{2}\)
find the value of a and n
The values of a and n that make the equation\((ax^6)^(1/n) = 4x^2\) true for all values of x are a = 4 and n = 3.
What are laws of exponents?The laws of exponents are rules for simplifying expressions with powers, including multiplying powers with the same base, dividing powers with the same base, and raising powers to a power.
The equation is \((ax^6)^(1/n) = 4x^2\). We want to find the values of a and n that make this equation true for all values of x.
We can begin by simplifying the equation using the laws of exponents:
\((ax^6)^(1/n) = 4x^2\)
a\(ax^6/n = 4x^2\)
Now we can solve for a and n by comparing the exponents of x on both sides of the equation:
The exponent of x on the left side is 6/n, and the exponent of x on the right side is 2. Therefore:
\(6/n = 2\)
Multiplying both sides by n, we get:
6 = 2n
Dividing both sides by 2, we get:
n = 3
Now we can solve for a by substituting n = 3 into the equation and simplifying:
\(ax^6/3 = 4x^2\\ax^2 = 4x^2\)
a = 4
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y=2/3x-3 graph the function
Answer:
Put a dot on -3 on the y-axis then count 3 from the dot you just made to the right and 2 up and repeat and draw a line (count 3 from the right and 2 up
Write the equation of the line in point-slope form.
Answer:
y-1= -3/4(x-1)
Step-by-step explanation:
find the slope then put it in the format: y2-y1=m(x2-x1)
y-1= -3/4(x-1)
Answer:
y = -3/4x + 7/4
Step-by-step explanation:
So we have 2 points:
(-3, 4) & (1, 1)
The formula for point-slope is:
y - y1 = m (x - x1)
First, we need to find the slope between the points
The formula for this is
(y2 - y1) /(x2 - x1)
1 - 4 / 1 - (-3) ->
-3 / 4
Our slope is -3/4 (m)
y = -3/4 (x + 3) + 4
I've done this using a simplified formula for point slope which is
y = m(x - x1) + y1
we can simplify this equation more
y = -3/4x + 7/4
is our final equation.
Find the slope of the line passing through the points (-7, 4) and (-7, -3). slope: Find the slope of the line passing through the points (-7.-7) and (4.-7). slope:
Given the points ( -7 , 4 ) and (-7 , -3 )
The slope of the line passing through the given points is calculated as following :
\(slope=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-4}{-7-(-7)}=\frac{-7}{-7+7}=-\frac{7}{0}=0\)So, the slope of the line = 0
which mean the line will be parallel to the x- axis
Final Answer:
Not definedZeroIn-depth explanation:
Hi! The question is asking us to find the slope of the line, given that it passes through the points (-7,4) and (-7,3).
To find the slope, I use the Slope Formula:
\(\Large\boxed{\boxed{\mathbf{m=\dfrac{y_2-y_1}{x_2-x_1}}}}\)
Where:m = slopey₂ = the y-coordinate of the second pointx₂ = the x-coordinate of the second pointy₁ = the y-coordinate of the first pointx₁ = the x-coordinate of the first pointPlug in the data:
\(\bf{m=\dfrac{-3-4}{-7-(-7)}=\dfrac{-7}{-7+7}}=\dfrac{-7}{0}}\)
\(\bf{m=not\:de fined}\)
\(\rule{350}{1}\)
Now let's find the slope between the second pair of points.
The points are: (-7,-7) and (4,-7), so let's go ahead and plug them in:
\(\bf{m=\dfrac{-7-(-7)}{4-(-7)}=\dfrac{-7+7}{4+7}}=\dfrac{0}{11}}\)
\(\large\textbf{Slope = 0}\)
Systolic Blood Pressure (SBP) of 13 workers follows normal distribution with standard deviation 10. SBP are as follows: 129, 134, 142, 114, 120, 116, 133, 142, 138, 148 , 129, 133, 140_ Find the 99%0 confidence interval for the mean SBP level: (124.84 (129.84 (126.84 (125.84 139.16) 139.16) 137.16) 138.16)
Answer:The 99% confidence interval is
To find the 99% confidence interval for the mean systolic blood pressure (SBP) level, we use the formula:
CONFIDENCE INTERVAL = Mean ± Z * (Standard Deviation / √n)
Where:
Mean is the sample mean of SBP
Z is the Z-score corresponding to the desired confidence level
Standard Deviation is the population standard deviation
Explanation:
Given that the sample size is 13 and the standard deviation is 10, we need to calculate the sample mean and the Z-score for the 99% confidence level.
First, we calculate the sample mean:
Mean = (129 + 134 + 142 + 114 + 120 + 116 + 133 + 142 + 138 + 148 + 129 + 133 + 140) / 13
= 1724 / 13
≈ 132.62
Next, we need to determine the Z-score for a 99% confidence level. The Z-score can be found using a Z-table or a statistical calculator. For a 99% confidence level, the Z-score is approximately 2.576.
Now, we can calculate the confidence interval:
Confidence Interval = 132.62 ± 2.576 * (10 / √13)
132.62 ± 2.576 * (10 / 3.6056)
≈ 132.62 ± 2.576 * 2.771
≈ 132.62 ± 7.147
Therefore, the 99% confidence interval for the mean SBP level is approximately (125.47, 139.77).
What is equidistant from the angles of a triangle?
The circumcenter of a triangle is the point in the plane equidistant from the three vertices of the triangle.
In geometry, the circumscribed circle or circumcircle of a polygon is a circle that passes through all the vertices of the polygon. The center of this circle is called the circumcenter and its radius is called the circumradius.
Not every polygon has a circumscribed circle. A polygon that does have one is called a cyclic polygon, or sometimes a concyclic polygon because its vertices are concyclic. All triangles, all regular simple polygons, all rectangles, all isosceles trapezoids, and all right kites are cyclic.
A related notion is the one of a minimum bounding circle, which is the smallest circle that completely contains the polygon within it, if the circle's center is within the polygon. Every polygon has a unique minimum bounding circle, which may be constructed by a linear time algorithm.
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hii the lateral surface area of a cube is 256 m cube . find the volume of the cube
Answer:
512cm3
Step-by-step explanation:
A lateral surface area of a cube is 256 m2. Find its volume.
A cube is a three-dimensional shape that is made up of 6 congruent square faces.
Answer: If the lateral surface area of a cube is 256 m2, then its volume is 512 cubic meters.
The lateral area of a cube is the sum of areas of all side faces of the cube
Explanation:
The lateral surface area (LSA) of the cube = sum of areas of all 4 side faces.
Let the edge length of the cube be x.
LSA = x2 + x2 + x2 + x2 = 4x2
Given that, LSA of the cube is 256 m2
4x2 = 256
x2 = 256/4
x2 = 64
x = 8
Length of edge of the given cube is 8 m.
The volume of a cube is x3.
The volume of cube = x3 = 83 = 512 m3
Thus, the volume of the given cube is 512 m3.
The volume of the given cube is 512 m³.
What is volume of cube?The volume of a cube is defined as the total number of cubic units occupied by the cube completely. A cube is a three-dimensional solid figure, having 6 square faces. Volume is nothing but the total space occupied by an object.
Given that, the lateral surface area of a cube is 256 m cube.
We know that, the formula to find lateral surface area of a cube is 4a², where a is edge of a cube
Now, 4a²=256
a²=64
a=8 m
The formula to find the volume of a cube is a³, where a is edge of a cube.
Thus, volume of a cube =8³ =512 m³
Therefore, the volume of a cube is 512 m³.
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The following cone has a slant height of 17
cm and a radius of 8
cm.
What is the volume of the cone?
Responses
480π
320π
544π
The formula for the volume of a cone is:
V = (1/3)πr²h
where r is the radius of the base, h is the height of the cone, and π is pi.
In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:
h² = s² - r²
h² = 17² - 8²
h² = 225
h = 15
Now that we have the height, we can plug in the values for r and h into the formula for the volume:
V = (1/3)π(8²)(15)
V = (1/3)π(64)(15)
V = (1/3)(960π)
V = 320π
Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.
A doctor orders are more thyroid half grain how would this do be expressed in milligrams
Given:
A doctor orders are more thyroid half grain.
Required:
To convert the 1/2 grain into milligram.
Explanation:
Let
\(1\text{ grain}=64.8\text{ mg}\)Now 1/2 grain is,
\(\begin{gathered} =\frac{1}{2}\times64.80 \\ \\ =32.4mg \end{gathered}\)Final Answer:
The option 2 is correct.
33
Find the slope of the line that passes through the pair of points.
(-43.23,5.1) and (4.23.3.6)
Answer:
07713800878
it will help you in your life
Sonny has $200. Each game he buys online costs $.99. After buying some games he has $178.22 left. How many games did he buy?
is the sqrt of 28 a irrational number
Answer:
Irrational
Step-by-step explanation:
The square root of 28, which is 5.291502622129181, is not a rational number. It cannot be written as a simple fraction, so it is called irrational.
Answer:
it is irrational hope i helped love yall
Step-by-step explanation:
if a sphere is increasing in volume at a rate of 50pi cm^3/min how fast is the diameter changing when the volume is 4000pi/3 cm?
To find the rate at which the diameter of a sphere is changing when the volume is 4000π/3 cm3, you can use the formula for the volume of a sphere, which is given by the equation V = (4/3)πr3, where V is the volume, π is the constant approximately equal to 3.14, and r is the radius of the sphere.
You can rearrange this formula to solve for the radius of the sphere:
r = (3V/(4π))^(1/3)
Plugging in the known values, you get:
r = (3(4000π/3)/(4π))^(1/3)
= (4000/4)^(1/3)
= 100^(1/3)
= 10
The diameter of the sphere is twice the radius, so the diameter is 2r = 2 * 10 = 20 cm.
To find the rate at which the diameter is changing, you can use the formula for the rate of change of a function, which is given by the equation rate of change = (change in y)/(change in x). In this case, the change in y is the change in the diameter of the sphere and the change in x is the change in the volume.
Since the volume is increasing at a rate of 50π cm3/min and the diameter is changing at the same time, you can use the formula to solve for the rate of change of the diameter:
rate of change = (change in y)/(change in x)
= (change in diameter)/(50π cm3/min)
To find the change in the diameter, you would need to know the initial and final diameters of the sphere. Without this information, it is not possible to determine the rate of change of the diameter.
which best explains if quadrilateral wxyz can be a paralleogram
There are a few conditions to consider to determine if WXYZ can be a parallelogram:
1)Opposite sides
2)Opposite angles
3)Consecutive angles
To determine if quadrilateral WXYZ can be a parallelogram, we need to examine the properties and conditions that define a parallelogram. A parallelogram is a quadrilateral with two pairs of parallel sides.
There are a few conditions to consider to determine if WXYZ can be a parallelogram:
1. Opposite sides: In a parallelogram, the opposite sides are parallel. We can examine the slopes of the lines connecting the vertices of WXYZ to determine if the opposite sides are parallel. If the slopes of the lines are equal, then the opposite sides are parallel.
2. Opposite angles: In a parallelogram, the opposite angles are congruent. We can check if the measures of the opposite angles of WXYZ are equal.
3. Consecutive angles: In a parallelogram, the consecutive angles are supplementary, meaning their measures add up to 180 degrees. We can verify if the consecutive angles of WXYZ satisfy this condition.
If all these conditions are met, then quadrilateral WXYZ can be a parallelogram.
It's important to note that a thorough examination of the properties of WXYZ, such as the lengths of sides and angles, is necessary to definitively determine if it is a parallelogram. Additionally, constructing a diagram or using coordinate geometry can provide visual aid in analyzing the properties of the quadrilateral.
In summary, to determine if quadrilateral WXYZ can be a parallelogram, we must verify if its opposite sides are parallel, opposite angles are congruent, and consecutive angles are supplementary. By checking these conditions and examining the properties of WXYZ, we can determine if it qualifies as a parallelogram.
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simplify the expression below using the distributive property:
4x - 2(x + 5)
Answer:
It is 2x-10
Step-by-step explanation:
It is 2x-10 because when you are doing this you want to try to get the x alone but in this case it is not dertinable
What expression -5+(-5r)+10