Answer:
285 degrees
Step-by-step explanation:
take 75 minus 360 and you get 285
Hope This Helps!
Adrian shops for school clothes and spends a total of $93.42. If the local tax rate is 8%, how much was the cost without taxes?
Answer:
85.95
Step-by-step explanation:
If the local tax was 8% and we want to know what is was without the tax then we need to do 93.42 times .92
\(93.42*.92=85.9464\)
Since money only goes to the hundredths place we need to round there
\(85.95\)
Based on the amount that Adrian spent in total, the cost without taxes was $86.50.
The cost of the clothes was $93.42 including tax.
Assuming the original cost is x, the equation is:
Total cost = Original cost x ( 1 + tax)
Solving would give:
93.42 = x × (1 + 8%)
93.42 = 1.08x
x = 93.42 / 1.08
= $86.50
In conclusion, the cost without taxes was $86.50.
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10. The following frequency table contains the total number of deaths worldwide as a result of earthquakes from 2000 to 2012.YearDeaths2000231200121,357200211,685200333,8192004228,802200588,00320066,6052007712200888,01120091,7902010320,120201121,8532012768Total823,346What is the relative frequency of deaths that occurred in 2003 or earlier? State your answer as a decimal, rounded to the nearest hundredth.
Relative frequency is the ratio of the number of outcomes in which a specified event occurs to the total number of trials.
In our problem, the specified event is 'deaths that occurred in 2003 or earlier' and the total number of trials is the total number of deaths from 2000 to 2012.
Adding up the deaths from 2000 to 2003, we get:
\(231+21357+11685+33819=67092\)Then, the relative frequency is:
\(\begin{gathered} RF=\frac{67092}{823346}=0.08148\ldots \\ \Rightarrow RF\approx0.08 \end{gathered}\)After rounding it, the answer is 0.08
Please help me out here. I really don’t understand
Step-by-step explanation:
you have both points : (1, 1) and (5, 5).
so, we don't need to do any triangle calculations to get the height of the main triangle.
all we need to do is calculate the distance between these 2 points.
2 points in a coordinate grid create a right-angled triangle.
the direct distance is the Hypotenuse (the side opposite of the 90° angle). and the legs are the x- and the y-coordinate differences (one up or down the other left or right).
and we can use Pythagoras
c² = a² + b²
c being the Hypotenuse a and b being the legs.
so, how long are these legs here ?
the x-difference is 5 - 1 = 4.
also the y-difference is 5 - 1 = 4
so,
distance² = 4² + 4² = 16 + 16 = 32
distance = sqrt(32) = sqrt(16×2) = 4×sqrt(2) =
= 5.656854249...
the distance of P to the line RQ is 5.656854249...
true-false questions: justify your answers. 1.13 the solution set to a system of three equations in three unknowns cannot be a plane. 1.14 a system of linear equations cannot have only two solutions. 1.15 the solution set to a consistent rank 2 linear system in four unknowns would be a line in four-dimensional space. 1.16 a system of four equations in four unknowns always has a solution. 1.17 a system of four equations in four unknowns can have at most one solution. 1.18 the rank of a system is always less than or equal to the number of equations in the system. 1.19 use geometric reasoning to answer the following questions concerning systems (i) and (ii) below: (a) if (i) has exactly one solution, then the same is true for (ii). (b) if the solution set of (i) is a line, then the same is true for (ii). (c) if (i) has no solutions, then the same is true for (ii). (i) a1x b1y c1z
The True- False of given statements of Solutions of Equations are justified.
1.13 False. The solution set to a system of three equations in three unknowns can be a point, a line, or a plane. It depends on the system of equations and how they intersect in three-dimensional space.
1.14 False. A system of linear equations can have infinitely many solutions, one solution, or no solutions. It depends on the coefficients of the equations and the rank of the coefficient matrix.
1.15 False. The solution set to a consistent rank 2 linear system in four unknowns would be a plane in four-dimensional space, not a line.
1.16 False. A system of four equations in four unknowns may not have a solution, or it may have infinitely many solutions or one solution. It depends on the coefficients of the equations and the rank of the coefficient matrix.
1.17 False. A system of four equations in four unknowns can have infinitely many solutions or one solution, but it cannot have at most one solution.
1.18 True. The rank of a system is always less than or equal to the number of equations in the system.
1.19 (a) False. If (i) has exactly one solution, it does not necessarily mean that (ii) will have exactly one solution. It depends on the coefficients of the equations in (ii).
(b) False. If the solution set of (i) is a line, it does not necessarily mean that the same is true for (ii). It depends on the coefficients of the equations in (ii).
(c) True. If (i) has no solutions, then the same is true for (ii), since (ii) is equivalent to (i).
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The graph shows the cost of grapes at a grocery store. What is the slope of the line?
The slope of the line shown in the graph is 4.5 .
In the question ,
it is given that ,
the amount of grapes is represented on x axis . and
the cost for that grape in the grocery store is represented on y axis .
to find the slope we need two points on the line ,
from the graph we can take two points as (1 , 4.5) and (2 , 9) ,
the slope can be calculated using the formula
slope = (change in y coordinate)/(change in x coordinate)
slope = (9 - 4.5)/(2 - 1)
slope = 4.5/1
slope = 4.5 .
Therefore , The slope of the line shown in the graph is 4.5 .
The given question is incomplete , the complete question is
The graph below shows the cost of grapes at a grocery store. What is the slope of the line?
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Help please 6x + 3 > a if the inequality above is true for the constant a which of the following. coupd be a vakue of z
Answer:
\(\frac{a+3}{6}\)
Step-by-step explanation:
Treat it like any other math problem with a equals sign:
6x + 3 = a
subtract 3 from both sides: 6x = a + 3
divide both sides by 6: \(x = \frac{a+3}{6}\)
swap the ≥ back in: \(x \geq \frac{a+3}{6}\)
the only time the sign flips is if you divide by a negative
Carlos biked miles on Saturday and miles on Sunday. On which day did he ride further and by how much? Carlos rode further on Saturday by miles. Carlos rode further on Saturday by miles. Carlos rode further on Sunday by miles. Carlos rode further on Sunday by miles.
Answer:
He rode farther on Sunday
135/7 - 139/8 = 107/56 or 1 51/56 miles farther
Answer:D
Step-by-step explanation: I got a hundred on my test.
Quadrilateral MNPQ is rotated at 90 degrees counterclockwise about the origin and then rotated 270 degrees counterclockwise about the origin
After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.
When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.
The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.
Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.
The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.
It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.
The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.
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determining probability of events. please help!
PLEASE HELP!! Click the picture
Answer:
If y - 4 = 5 then:
y = 5 + 4
y = 9
2. The quadratic function y = 7 + 2x^2 - 3x written in standard form would
be?
Answer:
y, equals, minus, 2, x, minus, start fraction, 2, divided by, 7
Step-by-step explanation:
Answer:
7x − 2y = 0
Step-by-step explanation:
5. Ms. Brown's flight left at 9:20 A.M. Her plane landed 1 hour and 23 minutes later. What time did her plane land?
asap please thank you so much
Answer:
the plane landed at 10:43 A.M
Please help
The imaginary unit is defined as i=
where i^2
View image
Answer:
i = \(\sqrt{-1}\)
i^2 = -1
Step-by-step explanation:
I hope this helps you out :D
since i = square root of -1 when you square i (i^2) you get rid of the parenthesis.
Determine which integer in the solution set will make the equation true.
3s − 12 = −9
S: {−1, 0, 1, 2}
A: −1
B: 0
C: 1
D: 2
Answer:
c) 1
Step-by-step explanation:
Solving for the value of s,
→ 3s - 12 = -9
→ 3s = -9 + 12
→ s = 3/3
→ [ s = 1 ]
Thus, option (c) is correct.
BC=63 and AC=93, find AB =
Based on the length of BC and AC, we can find the length of AB to be 112cm.
What is the length of AB?This is a right-angled triangle which means that we can use the Pythogorean theorem to solve for the length of AB which is the hypotenuse.
The length of AB is:
AB² = BC² + AC²
Solving gives:
AB² = 63² + 93²
AB² = 3,969 + 8,649
AB = √(12,618)
AB = 112 cm
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What value of x is in the solution set of 2(3x - 1) ≥ 4x - 6?
-10
-5
-3
-1
Answer:
-1
Step-by-step explanation:
\(2(3x-1) \geq 4x-6 \\ \\ 6x-2 \geq 4x-6 \\ \\ 2x \geq -4 \\ \\ x \geq -2\)
Answer:
-1 is the answer
Step-by-step explanation:
Draw a line from the figure to the area of the figure.
13 square units
14 square units
15 square units
Hurry please do tomorrow this is a 3rd grade problem
To know the area of a figure, you would like to know its shape and estimations. The steps to take on how to draw a figure with the use of a ruler and a pencil is given below.
How do you Draw a line?Begin by selecting the kind of figure you need to draw. Make use of a ruler to draw the sides of the figure. Make sure that the lines are straight and have the right length.
E.g. If the figure may be a rectangle or a parallelogram, you wish to create beyond any doubt that inverse sides are parallel to each other. If the figure is triangle, you would like to draw three lines that shows at three distinctive points. At last, name the sides and vertices of the figure.
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I need help on the Math HW. I don’t get how to get the answers.
Answer:
1
A= 34
B= 112
C= 34
Step-by-step explanation:
A and C are vertical angles so would have the same angle degree. The 112 and B are same side interior angles so have the same degree
A and 112 are opposite interior angles so they have to add up to 180.
So 180-112=68
then 68 divided by 2 to get both A and C
hope that made sense
Find a. the mean b. the deviation from the mean for each data item: and c. the sum of the deviations in part b. 146, 153, 155, 160, 161
Answer:
a. The mean of the data set is:
(146 + 153 + 155 + 160 + 161) / 5 = 155
b. The deviation from the mean for each data item is:
146 - 155 = -9
153 - 155 = -2
155 - 155 = 0
160 - 155 = 5
161 - 155 = 6
c. The sum of the deviations from the mean is:
-9 + (-2) + 0 + 5 + 6 = 0
Note that the sum of the deviations from the mean is always zero, since the positive deviations cancel out the negative deviations.
2. Kasie lives in Seattle. She can see her house from the observation deck of the Seattle Space Needle. The
observation deck is 520 feet above the ground and the angle of depression from the deck to her house
is 70. What is the direct distance from the base of the Space Needle to Kasie's house? Round your
answer to the nearest foot.
Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.
What is angle of depression?The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.
Given,
Height of the observation deck AB = 520 feet
Angle of depression = 70°
Distance of the Space needle base to house BC = ?
By the figure,
tan70° = AB/BC
BC = tan70°(AB)
BC = 2.7475(520)
BC = 1428.7 feet
Distance of the Space needle base to house to nearest foot = 1429 feet
Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.
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examine the function for relative extrema and saddle points. (if an answer does not exist, enter dne.) f(x, y)
For the given function, the critical point is (-1,2), relative extrema is is 2, and saddle points is zero.
To find the critical points of a function, we need to find where the partial derivatives of the function are equal to zero or do not exist. In other words, we need to find the points where the function is not changing with respect to x and y. The partial derivative of f(x,y) with respect to x is:
fx = 2x + 2
And the partial derivative of f(x,y) with respect to y is:
fy = 2y - 4
To find the critical points, we set both partial derivatives to zero and solve for x and y:
fx = 2x + 2 = 0
=> x = -1
fy = 2y - 4 = 0
=> y = 2
So, the critical point of the function is (-1, 2).
To determine whether this critical point is a relative maximum, minimum, or saddle point, we need to look at the second partial derivatives of the function. The second partial derivative of f(x,y) with respect to x is:
fx = 2
And the second partial derivative of f(x,y) with respect to y is:
fy = 2
The mixed partial derivative of f(x,y) with respect to x and y is:
fy = 0
To classify the critical point, we can use the second derivative test.
If fx and fy are both positive (or both negative) at the critical point, then the critical point is a relative minimum (or maximum), respectively.
If fx and fy have different signs, then the critical point is a saddle point. If the second derivative test is inconclusive, then we need to use additional methods to determine the nature of the critical point.
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Complete Question:
Find the critical points, relative extrema, and saddle points of the function. (If an answer does not exist, enter DNE.) f(x, y) = x² + y² + 2x - 4y + 2
Use the rectangle below to answer both parts of the question.
Part 1: Write an equation to find w, if the perimeter of the rectangle above is 72 inches.
Equation:
—————————————
Part 2: What is the value of w, if the perimeter of the rectangle is 72 inches? Solve your equation from part 1.
W =
———————————————-
THIS IS WORTH 60% OF MY GRADE PLEASE !
Answer:
part 1= "72=(2w)+(w-15)"
part 2= "29"
I'm not sure if they want "w = abc"
I used that equation to solve part 2
Hope this helps you, I've been where you are
Find the limit of the difference quotients for f(x) = x2+2x+1 if a= -1
The limit of the difference quotients for f(x) = x^2 + 2x + 1 as x approaches -1 is indeterminate.
To find the limit of the difference quotients for the function f(x) = x^2 + 2x + 1 as x approaches -1, we need to evaluate the following expression:
lim(x→-1) [f(x) - f(-1)] / (x - (-1))
First, let's substitute the values into the expression:
lim(x→-1) \([(x^2 + 2x + 1) - (-1^2 + 2(-1) + 1)] / (x + 1)\)
Simplifying further:
lim(x→-1) \([(x^2 + 2x + 1) - (1 - 2 + 1)] / (x + 1)\)
lim(x→-1)\([x^2 + 2x + 1 - 0] / (x + 1)\)
lim(x→-1) \((x^2 + 2x + 1) / (x + 1)\)
Now, we can directly substitute x = -1 into the expression:
\((-1^2 + 2(-1) + 1) / (-1 + 1)\)
(1 - 2 + 1) / (0)
0 / 0
We have obtained an indeterminate form of 0/0. This indicates that we need to further simplify the expression or use other techniques, such as L'Hôpital's rule, to evaluate the limit. However, without additional information or simplification, we cannot determine the precise value of the limit at x = -1.
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A line has a slope of -2 and passes through the point (-2, -3). Write its equation in slope-
intercept form.
The slope-intercept form of a line's equation is y = mx + b, where m is the slope of the line and b is the y-intercept. We can use the given slope and point to solve for the y-intercept and write the equation in slope-intercept form.
Given: Slope (m) = -2 and point (-2, -3)
Step 1: Use the point-slope form of a line's equation to find the equation of the line in point-slope form:y - y1 = m(x - x1) (where x1,y1 are the coordinates of the given point)y - (-3) = -2(x - (-2))y + 3 = -2(x + 2)Step 2: Simplify the equation by distributing the -2:y + 3 = -2x - 4Step 3: Solve for y by subtracting 3 from both sides of the equation:y = -2x - 7Therefore, the equation of the line in slope-intercept form is y = -2x - 7.7
Calculate the volume and surface area. Round to the hundredths place if necessary.
Volume=
V
Surface area=
9.8 yd
9.5 yd
12.2 yd
Answer:
Volume: 1135.82 yd³
Surface Area: 657.12 yd²
Step-by-step explanation:
V = whl
12.2 · 9.8 · 9.5
1135.82
A = 2(wl + hl + hw)
2 · (12.2 · 9.5 + 9.8 · 9.5 + 9.8 · 12.2)
657.12
Which expression is equivalent to the expression quantity negative 7 over 6 times t plus 4 over 9 end quantity minus expression quantity negative 5 over 12 times t plus 2 over 3 end quantity?
negative 12 over 18 times t plus 6 over 12
negative 9 over 12 times t minus 2 over 9
12 over 18 times t plus negative 6 over 12
2 over 12 times t plus 2 over 6
The expression which is equivalent to the given expression as given in the task content is; negative 9 over 12 times t minus 2 over 9.
Which expression is equivalent to the expression as given?ait follows from the task content that the expression which is equivalent to the given expression is to be determined.
As evident from the task content; the given expression is;
-7t/6 + 4/9 - ( -5t/12) + 2/3 )
The expression can be solved by collecting like terms and evaluating sums as follows;
-7t/6 + 5t/12 + 4/9 - 2/3
= ( -14t + 5t ) / 12 + (4 - 6)/9
= -9t/12 - 2/9
Therefore, the required expression which is equivalent to that; which is as given is; negative 9 over 12 times t minus 2 over 9.
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The triangle above has the following measures.
m
a=7.5 y
Use the 45-45-90 Triangle Theorem to find the length of the hypotenuse. Include correct units.
Show all your work.
The length of the hypotenuse is 10.61 yd.
We have,
The sum of the angles in a triangle = 180
Now,
Two angles are 45.
This means,
The side opposite to angle 45 are equal.
So,
a = c
And,
a = 7.5 yd
Now,
Applying the Pythagorean theorem.
b² = a² + c²
b² = 7.5² + 7.5²
b² = 112.5
b = √112.5
b = 10.61
Thus,
The length of the hypotenuse is 10.61 yd.
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Compatible numbers for 2.4 and -0.18 are 2.5 and -0.2. What is the estimation of the product of (2.4)(-0.18)
using these compatible numbers?
-0.5
O-04
0.4
0.5
Answer:
-0.5
Step-by-step explanation:
just got it right
Answer:-0.5
Step-by-step explanation:I took the edge quiz
1: CC> Chapter 2: Chapter 2 What You Learned Before > Section Exercises
4
Evaluate the expression when a = and b = 6.
12a +(b-a-4)= ☐
The expression 12a + (b - a - 4) when a = b = 6 is equivalent to 68
What is an equation?An equation is an expression that is used to show how numbers and variables are related using mathematical operators
Given the expression:
= 12a + (b - a - 4)
When a = b = 6, substituting:
= 12(6) + (6 - 6 - 4)
Simplifying:
72 + (-4)
= 72 - 4
= 68
The expression is equivalent to 68
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Tom has a large photo he want to shrink to wallet sized it’s width is 20 centimeters and it’s length is 30 centimeters
Answer:The width was 20 cm and was brought down to 5 cm, you can see that the pictures width was shrunk down 4 times because 20 divide by 4 is 5 so to find the length you would divide 30 by 4 and get 7.5 cm as your answer.
Step-by-step explanation: so rember what ever grade you are in do first 20 x 30 = 600 and 20 + 30 = 50