Answer:1:20, common sense would say 4 to 60, 8 to 90 so we can tell we are adding by 30s therefore number one is 20. 2: 32 for 4 hours, 48 for 6 hours, 64 for 8 hours, so if she works 5 hours mowing lawns she gets 75, and walking dogs for 5 hours would give her 40 so 75-40= 35, Here are all the answers, 1=20. 2=32,48,64. 3=35
Step-by-step explanation:look up
Find, correct to the nearest degree, the three angles of the triangle with the given vertices.
A(1, 0, -1), B(5, -2, 0), C(1, 4, 5)
LCAB =
LABC =
LBCA =
The three angles of the triangle with vertices A(1, 0, -1), B(5, -2, 0), C(1, 4, 5) are approximately 108.4°, 34.6°, and 37.0°.
The three angles of the triangle can be found using the dot product formula. First, we need to find the three sides of the triangle. Using the distance formula, we get:
AB = √[(5-1)² + (-2-0)² + (0-(-1))²] = √27
BC = √[(1-5)² + (4-(-2))² + (5-0)²] = √66
CA = √[(1-1)² + (4-0)² + (5-(-1))²] = √50
Using the dot product formula, we get:
cos(LCAB) = (AB² + CA² - BC²) / (2 * AB * CA) = -1/√11
cos(LABC) = (AB² + BC² - CA²) / (2 * AB * BC) = 5/√66
cos(LBCA) = (BC² + CA² - AB²) / (2 * BC * CA) = 7/√165
To find the angles, we take the inverse cosine of each value:
LCAB ≈ 108.4°
LABC ≈ 34.6°
LBCA ≈ 37.0°
Therefore, the three angles of the triangle with vertices A(1, 0, -1), B(5, -2, 0), C(1, 4, 5) are approximately 108.4°, 34.6°, and 37.0°.
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find the slope m and y-intercept b of the line y=mx+b that is
the tangent to the function f(x)=8x^2+7x+6. at x= -2
The slope m of the tangent line is -25 and the y-intercept b is -33.
How to find the slope m and y-intercept b of the line?To find the slope m and y-intercept b of the line tangent to the function f(x) at x=-2, we first need to find the derivative of the function f(x).
f(x) = 8x^2 + 7x + 6
f'(x) = 16x + 7
Next, we plug in x=-2 to find the slope of the tangent line:
m = f'(-2) = 16(-2) + 7 = -25
Now we need to find the y-intercept of the tangent line. We can do this by using the point-slope form of a line:
y - y1 = m(x - x1)
We know the slope is -25 and the point on the tangent line is (-2, f(-2)).
y - f(-2) = -25(x + 2)
Simplifying this equation gives us the slope-intercept form of the tangent line:
y = -25x - 33
Therefore, the slope m of the tangent line is -25 and the y-intercept b is -33.
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a study of fuel economy for various automobiles plotted the fuel consumption vs. speed. a lsrl was fit to the data. here is the residual plot from this least-squares fit. what does the pattern of the residuals tell you about the linear model?
The plot makes it obvious that the residuals are not indiscriminate; rather, they are forming a U-shape. Thus, we might infer that fitting a nonlinear model is preferable to doing so for a linear one.
Residual plot
The residual value of a regression line measures how much vertically a data point is missing. Regression lines offer the greatest fit for a collection of data. You can think of the lines as averages; some data points will fit the line while others won't. The independent variable is plotted on the horizontal axis, while the residual values are plotted on the vertical axis.
A residual plot is frequently used to identify regression problems. For some sets of data, regression is not a good fit, such as:
Heteroscedastic data (points at widely varying distances from the line).Information with no clear linear relationship.Data sets include outliers.
A residual plot makes these flaws more obvious than when viewing a representation of the original data set. Ideal residual values distribution on the horizontal axis should be uniform and random.
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Find the circumference of the circle. Round your answer to the nearest hundredth.
Answer:
131.95 in
Step-by-step explanation:
C=2πr
C=2π(21)
C= 131.95 in
Answer:
131.88
Step-by-step explanation:
42x π(3.14)=131.88
Tell whether the statement is always, sometimes or never true.
A positive integer is greater than its opposite.
How to Convert 183 cm to Inches?
To convert 183 centimeters (cm) to inches, multiply the number of centimeters by 0.393701. This gives a result of 72.047244 inches (in).
To convert centimeters to inches, it is necessary to multiply the number of centimeters by 0.393701. This is because there are 2.54 centimeters in one inch, so to determine how many inches are in a certain number of centimeters, the number of centimeters needs to be divided by 2.54. This can also be written as 1 cm = 0.393701 in. So, in order to convert 183 centimeters to inches, the equation would be 183 cm x 0.393701 = 72.047244 inches. This means that 183 cm is equal to 72.047244 inches. It is important to note that this value should be rounded to the nearest hundredth to get the most accurate result. In this case, the result would be 72.05 in. Converting centimeters to inches is a useful skill when measuring objects, or when converting measurements from the metric system to the imperial system.
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Point D is located at (-1, 6) on the coordinate plane. Point D is reflected over the
y-axis to create point D'. Point D'is then reflected over the r-axis to create point
D". What ordered pair describes the location of D"?
Answer:
(1, -6)
Step-by-step explanation:
After reflecting over y axis: (1, 6)
After reflecting (1, 6) over x axis: (1, -6)
I think you made a typo in your question. I think you meant "x-axis" instead of "r-axis"
Suppose that A is an n x n diagonal matrix with rank r, where rsn. Which of the following is true about
A?
A. O is an eigenvalue with algebraic muitiplicity n-r
B. O is an eigenvalue, but there is not enough information to determine the geometric multiplicity
C O is an eigenvalue with geometric multiplicity ner
DO is not an eigenvalue.
A is an n x n diagonal matrix with rank r , where rsn and the statement (a)"O is an eigenvalue with algebraic muitiplicity n-r " about A is true
Since A is an n x n diagonal matrix with rank r, the number of non-zero entries on the diagonal is r. This means that there are n - r zero entries on the diagonal.
For any diagonal matrix, the eigenvalues are simply the entries on the diagonal. Since there are n - r zero entries, the eigenvalue O has a geometric multiplicity of n - r.
Therefore, the correct statement is that O is an eigenvalue with geometric multiplicity n - r.
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CAN SOMEONE HELP I DONT UNDERSTAND (CRYS)
Answer:
1) \(m\)∠JKL = 145°
2) \(m\)∠IHG = 164°
3) \(m\)∠NME = 50°
4) \(m\)∠TUV = 178°
I hope this helps! (✿◠‿◠)
Can someone explain if I am wrong?
My answers for this so far are:
A. (b-10)(b+10)=180 and b is 2√70
B. (2√70-10)=c, so C is 6.733201
C. (2√70+10)=d, so D is 26.733201
Answer:
Step-by-step explanation:
A. (b - 10)(b + 10) = 180
\(b^{2}\)-100 = 180
\(b^{2}\)= 280
b = \(\sqrt{280}\)
b = 2\(\sqrt{70}\)
Your A is correct.
B. 2\(\sqrt{70}\) - 10 = c
c = 6.733200531 = 6.73 Try rounding to 3 significant figures.
C. 2\(\sqrt{70}\) + 10 = d
d = 26.73320053 = 26.7
You are correct in all 3 answers. Perhaps you should try rounding to 3 significant figures for your c and d values.
I hope this helps!! ^-^
-3x=6.3
what is x value
Answer:
-2.1 so you divide 6.3 and -3 and then boom that your answer
Answer:
\(x=-2.1\)
Step-by-step explanation:
1. Solve the equation using division
\(\frac{-3}{-3} x=\frac{6.3}{-3}\)
2. Solve equation
\(x=-2.1\)
3. Check answer
\(-3(-2.1)=6.3\\6.3=6.3\)
SOLVE FOR X PLZZZZZZ
Answer:
x=5
Step-by-step explanation:
Since these angles are vertical angles formed by two parallel lines being intersected by another vertical line, you can set the 18x and 17x+5 equal to each other. Then you solve using algebra. I hope this helps!
Answer:
x=5
Step-by-step explanation:
Because they both equal 90°, you can use the equations, 18x=90 and 17x+5=90 to solve.
First, 18x= 90: (Divide by 18)
x=5
Now, 17x+5=90: (Subtract 5 from both sides)
17x= 85
Then divide by 17:
x= 5
Hope this helps!
Mindset: This discussion topic is about the impact of challenges on personal growth... Think of a time when you were challenged by a math assignment. What was the topic? Did you end
up successfully completing it? If you can not think of a challenge that you encountered in math class, think of one from another aspect of your life. Share what the challenge was and what
the outcome was. In either scenario, did you find yourself saying any negative self-talk ("There's no way I can do this." "I've never done this before." "I'm never going to get better at
this.")?
How can working through challenges in your math class influence how you see yourself as a math student? What are some strategies you can use (or are already using) to confidently approach
challenges in math?
Answer:
One time I was challenged by a math assignment was when I was performing rotations, and reflections. It was confusing to know what coordinates needed to change based on each rule. After studying and asking for help, I was able to complete this assignment. At time, I thought I didn't know enough to complete the assignment, but I am happy to say that I improved. Working through your problems can help you succeed and have more confidence in yourself as a student.
An equation of he line through the points (-2,5) and (3,-4)
The equation of the line passing through points (-2,5) and (3,-4) is 9x + 5y = 7.
Hence, option C) 9x + 5y = 7 is the correct answer.
What is the equation of line that passes through the points (-2,5) and (3,-4)?Given the data in the question;
Point1 (-2,5)
x₁ = -2y₁ = 5Point2 (3,-4)
x₂ = 3y₂ = -4First, we determine the slope of the of the line,
m = (y₂-y₁)/(x₂-x₁)
m = ( -4-5 )/( 3-(-2) )
m = -9/5
Using the formula for equation, we determine the y-intercept
y = mx + b
Plug in the first point (-2,5) and the slope and then solve for the y-intercept b.
5 = -9/5(-2) + b
5 = 18/5 + b
b = 5 - 18/5
b = ( 25 - 18 )/5
b = 7/5
Now, plug the slope and y-intercept into y = mx + b to determine the equation of the line.
y = mx + b
y = -(9/5)x + 7/5
Convert to standard form
y = -(9/5)x + 7/5
Multiply each term by 5
5y = -9x + 7
5y + 9x = 7
9x + 5y = 7
The equation of the line passing through points (-2,5) and (3,-4) is 9x + 5y = 7.
Hence, option C) 9x + 5y = 7 is the correct answer.
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x=5 and 2 x+y=10 what is x and y?
The diagram shows an open rectangular box ABCDEFGH.
A straight stick AGM rests against A and G and extends outside the box to M.
a. Calculate the angle between the stick and the base of the box.
b. AM= 30 cm.
Show that GM= 4.8 cm, correct
to 1 decimal place.
The angle between the stick and the base of the box is 77. 9 degrees
How to determine the angleTo determine the angle between the stick and the base, we have to know the trigonometric identities.
These identities are;
sinecosinecotangenttangentsecantcosecantFrom the information given, we have;
sin A = FB/AB
Given that;
GB = 14.5cm
AB = 18. 6cm
substitute for the length of the sides, we have;
sin A = 14.5/18. 6
Divide the values, we have;
sin A = 0. 7796
Find the inverse sine
A = 77. 9 degrees
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When describing categorical data, you can use: counts and proportions measures of center, spread, and shape All of these statements are correct. box plot None of these statements are correct.
All of these statements are correct.
When describing categorical data, several methods can be used to provide meaningful insights and summarize the data.
Counts and proportions: Counting the number of observations in each category can provide information about the distribution and frequency of different categories. Proportions, also known as percentages, can be calculated by dividing the count in each category by the total count, allowing for a comparison of the relative frequencies of different categories.
Measures of center, spread, and shape: Although measures of center, spread, and shape are commonly associated with numerical data, they can also be used to describe certain aspects of categorical data. For example, the mode represents the most frequent category, which can be considered a measure of center. Measures of spread, such as the range or interquartile range, may not be applicable to categorical data. However, bar graphs and pie charts can visually depict the distribution and shape of categorical variables.
Box plots: Box plots are graphical representations primarily used for numerical data. They display the median, quartiles, and any potential outliers. While box plots are not commonly used for categorical data, they can be adapted by representing the frequency or proportion of categories instead of numerical values.
In summary, when describing categorical data, counts and proportions are commonly used to present the frequency and relative frequency of categories. Measures of center, such as the mode, can provide insights into the most frequent category. Measures of spread and shape may not be applicable, but graphical representations like bar graphs and pie charts can be used to visualize the distribution and shape of the categorical data. Box plots are not typically used for categorical data, as they are more suitable for numerical variables.
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Which expression represents the length of QR?
Answer:
jsjdkfnfnfkdkfkfkfkidkffbgngngkgk
Bethany and Aidan each have candy bars that are the same size and shape. Bethany's candy bar is marked so that it can be broken into equal parts. Aidan's candy bar is marked to that it can be broken into equal parts. Bethany ate pieces of her candy bar. Aidan also ate pieces of his candy. What is this problem about?
Answer:
Step-by-step explanation:
This problem is most likely about what percentage of the candy does each individual have left. Since the phrase is explaining that each ones candy bar is the same size and can be broken into equally divided pieces then it is most likely about figuring out which one of the individual's has more candy left over when compared to the other's candy. This is possible since both candies are the same size but more information would be needed.
If DE = 10 in. and GH = 4 in., what is the length of the radius? Round to the nearest tenth. A 5.4 in. B 6.4 in. C 10.8 in. D 29.0 in.
Answer:
A. 5.4 in
Step-by-step explanation:
At the top of the line segment GH, you can see it ends on Circle D's circumference. Therefore, if you made a line segment from D to G, its length would be the radius. Lines DE and GH are perpendicular and make a 90 degree angle, so you can make line DG a hypotenuse, use pythagoreans theorem, and find the radius. However, since they intersect at a halfway point, you have to divide 10 and 4 by 2. 10/2 = 5 4/2 = 2 5^2 + 2^2 = r^2
5^2 = 25 and 2^2 = 4, so 29 = r^2. The square root of 29 is 5.385, or 5.4 inches.
I got a bit lazy answering this, but I hope it helps!
Answer:5.4
Step-by-step explanation:
Amar owes $2,000 on his credit card with a minimum percentage of 4% or $60, whichever is higher. How much is the minimum payment due?.
Amar owes $2,000 on his credit card with a minimum percentage of 4% or $60, whichever is higher.
The Minimum Payment due is $ 80 as it is higher from the minimum payment of $60.
Given :
Credit Card amount = $2000
Minimum Percentage = 4%
By using the below formula we can find the minimum balance
Minimum Balance = Credit Card Amount * Minimum Percentage
Minimum Balance = $2000 * 4%
= $80
So According to the question Amar owes $2000 on his credit card with a minimum percentage of 4% or a minimum payment of $60, whichever is higher.
So the minimum percentage of 4% or minimum balance is higher than $60.
So that’s why the minimum payment due is $80.
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On the graph below, draw any line with a slope of *positive* 2 and draw any line with a slope of *negative* 2.
Refer to the image for the graph of the lines.
The common form of the equation of a line is y = mx + c, where m is the slope of the line and c is a constant.
We need to draw any line with a slope m = 2, and
another line with a slope m = -2.
Disclaimer: Let us assume that the constant c = 0.
Then the equation to the line with a slope of "positive" 2 is given by
y = 2x
Then the equation to the line with a slope of "negative" 2 is given by
y = -2x
Refer to the attached image for the graph of the lines with the slope of "positive" 2 and "negative" 2.
f: green line indicates a line with a slope of "positive" 2.
g: blue line indicates a line with a slope of "negative" 2.
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A car moved 30 km in the North- East direction, then moved 40 km due north. Calculate the total displacement.
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The total displacement is 50 km
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
A car moved 30 km in the North- East direction, then moved 40 km due north.
This can be drawn as,
B Final point
/ |
/ | (40 km)
/ |
A / |
Starting point (30 km)
Displacement is the distance of AB.
Applying the Pythagorean theorem.
AB² = 40² + 30² = 1600 + 900 = 2500
AB = √2500 = 50
Thus,
The total displacement is 50 km
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Please help due today
State if each triangle is acute, obtuse, or right
Answer:
Hi there :)
Step-by-step explanation:
From what I can see, 9. is a right triangle because of the right angle, 10. is an acute triangle, and 11. is another right triangle. Please let me know if you need further explanation.
Pam and her brother both open savings accounts. Each begin with a balance of zero dollars. For every two dollars that Pam save in her account, her brother save five dollars in his.
Answer:
Ratio [Pam to her brother] = 2:5
Step-by-step explanation:
Given:
Pam saves every two dollar
Her brother saves fives dollar (For every two dollar)
Find:
Ratio [Pam saving and his brothers saving]
Computation:
It is given that if Pam saves $2 her brother saves $5
So,
Ratio [Pam to her brother] = 2/5
Ratio [Pam to her brother] = 2:5
The measures of the angles of a triangle are shown in the figure below. Solve for x.
PLEASE HELP MAJOR
Answer:
33 degrees
Step-by-step explanation:
total degrees must add up to 180
106+41=147
180-147=33 degrees
Please answer it now in two minutes
Answer:
m∠C = 90°
Step-by-step explanation:
Triangle BDC is a right triangle with the measure of angle D = 90°
By applying Cosine rule in the given triangle,
Since, Cosine of any angle in a right triangle is a ratio of Its adjacent side and Hypotenuse (Opposite side of the right angle)
CosC = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)
CosC = \(\frac{\text{DC}}{\text{BC}}\)
CosC = \(\frac{7}{8}\)
\(C=\text{Cos}^{-1}(\frac{7}{8})\)
C = 28.955
C = 29°
Therefore, m∠C = 29° will be the answer.
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 25 inches, and the length of the base is 20 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
Check the picture below.
The perimeter of the given triangle is 73.8 inches.
What is the perimeter of a triangle?The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.
The length of the altitude is 25 inches, and the length of the base is 20 inches.
Using the Pythagoras theorem, to find the hypotenuse of the triangle :
Hypotenus = √(25² + (20/2)²)
Hypotenus = √(625+ 100) = √725= 26.9 inches
The perimeter of a triangle :
(base + side 1 + side 2) = (20 + 26.9 + 26.9 ) = 73.8 inches
Therefore, the perimeter of the triangle is 73.8 inches.
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3. Consider a polar curve r =-2 sin θ (a) Sketch the curve with the given polar equation by first sketching the graph of r as a function of θ in Cartesian coordinates. (b) Sketch the graph of the same polar curve but by converting it in to the Carte- sian form. (c) Are the graphs from Part(a) and Part(b) are same or different? Why?
The polar curve r = -2 sin θ can be graphed by first plotting the graph of r as a function of θ in Cartesian coordinates. To do this, we can set r = y and θ = x, and then plot the resulting equation y = -2 sin x.
This graph will have the shape of a sinusoidal wave with peaks at y = 2 and troughs at y = -2.
To sketch the same polar curve in Cartesian form, we can use the conversion equations x = r cos θ and y = r sin θ. Substituting in the given polar equation, we get x = -2 sin θ cos θ and y = -2 sin² θ. Simplifying these equations, we get x = -sin 2θ and y = -2/3 (1-cos² θ). This graph will have the shape of a four-petal rose.
The graphs from Part (a) and Part (b) are different because they represent different equations. Part (a) is the graph of y = -2 sin x, which is a sinusoidal wave. Part (b) is the graph of a four-petal rose. However, both graphs share some similarities in terms of their shape and symmetry. They are both symmetrical about the origin and have a repeating pattern.
In conclusion, we can sketch a polar curve by first graphing r as a function of θ in Cartesian coordinates and then converting it to Cartesian form. The resulting graphs may look different, but they often share similar patterns and symmetries.
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Clara would like to buy a toy for her baby sister that sells for
$12.49. How much will the toy cost after 13% tax? (Round to the nearest
cent)