Answers
Notice that the line goes down by 3 units for each 3 units that it goes to the right:
The slope of a line is defined as the ratio between the change in the variable y divided by the change in the variable x:
\(m=\frac{\Delta y}{\Delta x}\)In this case, Δy=-3 and Δx=3. Then:
\(m=\frac{-3}{3}=-1\)Therefore, the slope of the line is equal to -1.
Related Questions
Solve using tangent and cosine
Answers
The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.
What are the sides of the triangle labelled x?The figures in the image are right triangles.
A)
angle D = 17 degree
Adjacent to angle D = 14 mm
Opposite to angle D = x
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( 17 ) = x/14
x = tan( 17 ) × 14
x = 4.3mm
B)
angle Z = 82 degree
Adjacent to angle Z = 43.1 m
Hypotenuse = x
Using trigonometric ratio,
cosine = adjacent / hypotenuse
cos( 82 ) = 43.1 / x
x = 43.1 / cos( 82 )
x = 309.7 m
Therefore, the measure of x is 309.7 meters.
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FUNCTIONS HW HELP NEEDED
Answers
a) The equation for Bueller's height above the ground as a function of time is: h(t) = 9 cos(πt/8) + 1.5
b) When Bueller has been on the ride for 1 minute and 30 seconds, his height above the ground is approximately 10.5 m.
What is a function?In mathematics, a function is a rule that assigns a unique output value to each input value in a specified set. More precisely, a function is a set of ordered pairs (x, y) where each x-value (the input) corresponds to exactly one y-value (the output).
In mathematics, an equation is a statement that asserts the equality of two expressions, typically containing one or more variables. An equation consists of two sides, the left-hand side, and the right-hand side, separated by an equal sign (=).
According to the given information,
a) To determine an equation for Bueller's height above the ground as a function of time, we can use the equation for the height of a point on a Ferris wheel:
h(t) = r cos(ωt) + h0
where:
1) h(t) is the height of the point above the ground at time t
2) r is the radius of the Ferris wheel
3) ω is the angular velocity of the Ferris wheel (in radians per second)
4) t is the time elapsed since the point was at its lowest position
5) h0 is the initial height of the point above the ground
In this case, we know that Bueller boards the Ferris wheel at a height of 1.5 m off the ground, so h0 = 1.5 m. The radius of the Ferris wheel is 9 m, and it rotates once every 16 seconds, so the angular velocity is:
ω = 2π / T = 2π / 16 = π / 8 radians per second
Therefore, the equation for Bueller's height above the ground as a function of time is:
h(t) = 9 cos(πt/8) + 1.5
b) To find Bueller's height off the ground when he has been on the ride for 1 minute and 30 seconds (or 90 seconds), we can substitute t = 90 into the equation for h(t):
h(90) = 9 cos(π(90)/8) + 1.5
h(90) = 9 cos(11.25π) + 1.5
Using a calculator, we get:
h(90) ≈ -6.3 m
Note that the negative sign means that Bueller is below ground level, which is not physically possible. This occurs because we started counting time from the bottom of the wheel, so 90 seconds corresponds to the bottom position plus 5 and a half rotations. To fix this, we can add a multiple of the period T = 16 seconds to t to bring it back to the correct range:
h(t) = 9 cos(πt/8) + 1.5
h(90 + 5T/2) = 9 cos(π(90 + 5T/2)/8) + 1.5
h(90 + 5T/2) = 9 cos(π(2 + 5/16)) + 1.5
h(90 + 5T/2) ≈ 10.5 m
Therefore, when Bueller has been on the ride for 1 minute and 30 seconds, his height above the ground is approximately 10.5 m.
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A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
Which statement about probability is true?
The probability of landing on orange is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on blue.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
Answers
The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.
What is probability?Probability is defined as the total number of possible outcome of an event.
The repeated colour which are numbered from 1 to 8 are as follows:
Sections 1 and 8 are purple. The probability of getting a purple = 2/8 = 1/4Sections 2 and 3 are yellow. The probability of getting a yellow = 2/8 = 1/4 Sections 4, 5, and 6 are blue. The probability of getting a blue = 3/8Section 7 is orange. The probability of getting a orange = 1/8.Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.
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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.
Step-by-step explanation:
What is the coefficient in the expression 10x+8
Answers
Answer:
In the given expression, 10x + 8, the numerical coefficient is 10 and the literal coefficient is x. The number 8 is not considered as a coefficient since the value is a constant.
Answer: 10 + 8
Step-by-step explanation: If you want to find a coefficient you need to only remove the variable from the expression. For example what is the coefficient of 4x its 4. Please mark as the brainliest!
3. You get three summer jobs to help you save for college expenses. In your job as a cashier,
you work 20 hours per week and earn $9.50 per hour. Your second and third jobs are at a local
hospital. There, you earn $9.00 per hour as a payroll clerk and $7.00 per hour as an aide. You
always work 10 hours less per week as an aide than you do as a payroll clerk. Your total weekly
salary depends on the number of hours you work at each job.
a. Determine the input and output variables for this situation.
b. Explain how you calculate the total amount earned each week.
c. If x represents the number of hours you work as a payroll clerk, represent the number of
hours you work as an aide in terms of x.
d. Write an equation that describes the total amount you earn each week. Use x to represent
the input variable and y to represent the output variable. Simplify the expression as much
as possible.
e. If you work 12 hours as a payroll clerk, how much will you make in one week?
f. What are the practical replacement values for x? Would 8 hours at your payroll job be a
realistic replacement value? What about 50 hours?
g. When you don't work as an aide, what is your total weekly salary?
Please help!
Answers
Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.
What is a Variable?A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .
a. Input variables: hours worked as a cashier, payroll clerk, and assistant.
The total amount earned each week is the output variable.
b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:
Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)
c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).
d. The equation describing the total money earned each week is as follows:
(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y
This expression is simplified as follows:
y = 190 + 9x - 70 + 7x
y = 16x + 120
Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.
f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.
g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:
y = 16x + 120 + 0
y = 16x + 120
As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.
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what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
A packing crate can hold 205 avocados. There were 7,000 avocados picked at a large grove. The owner has 36 packing crates. Does he have enough crates to ship out the avocados? Explain.
Answers
Answer: He does have enough crates to ship out the avocados.
Step-by-step explanation: 205 avocados fit inside a shipping container. At a big grove, 7000 avocados were picked. 36 cargo containers belong to the owner. As a result, he can fit a total of = avocados. And since he has 7000 avocados, he does indeed have enough crates to carry the fruit.
Yes
Step-by-step explanation:
This is because, as we know, the owner has 36 crates that can hold 205 avocados. There are 7000 avocados so using no more than the 36 crates, 205 x 36 = 7,380. So, using less than 36 crates, and not surpassing the number of avocados that can be shipped, all 7000 avocados can be shipped.
center =
3. A diameter of a circle has endpoints P(-7,-4) and Q (3,2).
a. Find the center of the circle (hint use midpoint formula)
b. Find the radius. If your answer is not and integer, express in radical form. (hint use
distance formula)
c. Write an equation for the circle.
17
radius=
equation of the circle:
work:
< 2/3
I
>
Answers
a. The center of the circle is (-2, -1).
b. The radius of the circle is √136.
c. The equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.
a. To find the center of the circle, we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
In this case, the endpoints of the diameter are P(-7, -4) and Q(3, 2).Applying the midpoint formula:
Midpoint = ((-7 + 3)/2, (-4 + 2)/2)
= (-4/2, -2/2)
= (-2, -1)
Therefore, the center of the circle is at the coordinates (-2, -1).
b. To find the radius of the circle, we can use the distance formula, which calculates the distance between two points (x1, y1) and (x2, y2). The radius of the circle is half the length of the diameter, which is the distance between points P and Q.
Distance = √\([(x2 - x1)^2 + (y2 - y1)^2]\)
Using the distance formula:
Distance = √[(3 - (-7))^2 + (2 - (-4))^2]
= √\([(3 + 7)^2 + (2 + 4)^2]\)
= √\([10^2 + 6^2\)]
= √[100 + 36]
= √136
Therefore, the radius of the circle is √136.
c. The equation for a circle with center (h, k) and radius r is given by:
\((x - h)^2 + (y - k)^2 = r^2\)
In this case, the center of the circle is (-2, -1), and the radius is √136. Substituting these values into the equation:
\((x - (-2))^2 + (y - (-1))^2\) = (√\(136)^2\)
\((x + 2)^2 + (y + 1)^2 = 136\)
Therefore, the equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.
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Complete the square for x2 - 4x +
Then write the resulting expression as a
binomial squared.
Answers
Answer:
x(x-4)
Step-by-step explanation:
Which number has a 4 with a value ten times less than the 4 in the number 123,469?
Answers
The number that has a 4 in the hundred places.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A 4 with a value ten times less than the 4 in the number 123,469.
First, the value of the 4 in the number 123,469 can be found by separating each digit as:
123,469 = 100,000 + 20,000 + 3,000 + 400 + 60 + 9
Then the value of the 4 is 400.
Now we want a number that has a 4 with a value then times less than 400. Then we have
400/10 = 40
Then we want a number that has a 4 in the hundred places.
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If f(x)
2x + 3, find f(-2)
Answers
Answer:
2x+3
f(-2)=:2x+3
2(-2)+3
-4+3
= -1
What is the value of x in the equation –2.4x = 8.4?
Answers
Answer:
x= 3.5
Step-by-step explanation:
2.4 x= 8.4
x= 8.4 /2.4
x= 3.5
Answer:
X= -3.5
Step-by-step explanation:
You are trying to find what x is, and x is being multiplied with -2.4. The easiest way to find the answer is to divide 8.4 by -2.4. This way, you will get your answer of -3.5. Because two negatives make a positive when you multiply, 8.4 is not negative.
How I solved this.
-2.4x = 8.4
8.4=total
-2.4= Needs to be multiplied with x
x=?
8.4/-2.4=-3.5
Check your work:
-2.4(-3.5)=8.4
Final answer:
x= -3.5
I hope this helps!
-No one
At a supermarket, there are 118 customers. If 45 have purchased shirts, 59 have
purchased pants, and 40 have purchased neither, how many purchased both shirts and
pants?
Answers
Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.
What is a Venn Diagram?A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.
In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.
The total number of customers at a supermarket = 118
The number of customers who purchased shirts, n(A) = 45
The number of customers who purchased pants, n(B) = 59
The number of customers who purchased neither shirts nor pants = 40
Let the number of customers who purchased both shirts and pants = n(A ∩ B)
n(A ∪ B) = n(A) + n(B) - n(A ∩ B)
n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78
Substituting values:
78 = 45 + 59 - n(A ∩ B)
Solving for n(A ∩ B), we get:
n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26
Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.
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Answer this question pls
Answers
Answer:
16
Step-by-step explanation:
First you subtract 12 by 8, which equals 4. The cube root of 4 is 64, 4 x 4 x 4. Now multiply 24 and 2 together to get 48. Subtract 64 by 48 to get 16.
Hope this helps! :DD
Answer:
16 ;)))))))))))))))))
Where to put negative 1.5 on number line
Answers
On the number line, -1.5 would be located between -1 and zero, closer to -1.
To put negative 1.5 on a number line;
Since -1.5 is between -1 and zero, we can locate it by dividing the distance between -1 and zero into smaller intervals.
Thus Each interval represents a unit on the number line, so you can divide it into 10 equal parts.
Count 5 of these smaller intervals to the left from -1 to locate -1.5.
Then Mark a point at the fifth interval and label it as -1.5.
Therefore, on the number line, -1.5 would be located between -1 and zero, closer to -1.
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Solve for x.
37°
8 cm
x = [?] cm
X
Round to the nearest hundredth.
X
![Solve for x.378 cmx = [?] cmXRound to the nearest hundredth.X](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/5r3s734YNpMZhrSKBRqrQYrII2vYUjgx.png)
Answers
The measure of side length x in the right triangle is approximately 6.03 cm.
What is the measure of side length x?The figure in the image is a right triangle having one of its interior angle at 90 degrees.
From the figure:
Angle θ = 37 degrees
Adjacent to angle θ = 8 cm
Opposite to angle θ = x
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( θ ) = opposite / adjacent
Plug in the given values and solve for x:
tan( 37 ) = x / 8
x = tan( 37 ) × 8
x = 6.03 cm
Therefore, the value of x is 6.03 cm.
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Convert the degree measure to radian measure. Round to three decimal places.
75°
radians
Answers
The conversion from degree to radian will be 180° = π radian. Then the measure of angle 75° is 1.31 radians.
What is conversion?Conversion means to convert the same thing into different units.
Convert the degree measure to the radian measure.
⇒ 75°
We know the conversion is given as
180° = π radian
1° = π/180°
Then we have
75° = 75° x π/180° radian
75° = 1.30899 radian
75° ≅ 1.31 radian
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Which expression is equivalent to 3x² - 10x -8?
A. (3x-2)(x-4)
B. (3x - 4)(x + 2)
C. (3x-4)(x - 2)
D. (x-4)(3x + 2)
Answers
Answer:
working on a answer hold up
Step-by-step explanation:
Which element should be used to help clarify a complicated idea in a text? (1 point) O a new topic O a bibliography O a visual O a research question w
Answers
The element which should be used to help clarify a complicated idea in a text is ; A research question.
According to the question;
We are required to determine which element should be used to help clarify a complicated idea in a text.A research question is the best fit which should be used to help clarify a complicated idea in a text.
This is so because; a research question provides a basis for accessing all perspectives there is to the complicated idea.
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Answer:
D
Step-by-step explanation:
how is this math? 0-0
Add the two expressions.
−4.2x+3 and 2.5x−6
Answers
Combine like terms
Simplified:
-1.7x-3 is your answer
circle are congruent if there have some
fill in the blanks
Answers
Answer:
.I would like to help but....!!!!
there is no diagram!
9. Find m DF
m
140°
DF:
=
E
44°
20. Find
mZPQR.
131*
m/POR=
Need done asap please show work
Answers
According to the angles between intersecting secant and tangent, the value of
angle DF is 52 degrees
angle PQR = 49 degrees
How to solve for angle DFThe value of angle DF is solved using the angles of intersecting secant out side the circle
The theorem give the formula in the form
44 = 1/2 (140 - DF)
88 = 140 - DF
DF = 140 - 88
DF = 52 degrees
Using intersection of tangents, for the second figure
exterior angle = 1/2 (major arc - minor arc)
major arc = 360 - 131 = 229
PQR = 1/2 (229 - 131)
PQR = 49 degrees
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What is the range of y=log2(x-6)
Answers
Answer:
6<y<∞
Step-by-step explanation:
Logarithmic curves can never go left to 0 and go on forever to the right.
x=6 would make the function 0, so 6 is the lower limit and infinity would be the upper limit.
The length of a rectangle is 5 cm more than its width. If the perimeter is 58cm, calculate:
(a) Write an equation to show the perimeter of the rectangle ?
(b) calculate:
I.width
II.length
III. the area of the rectangle
Answers
The equation to show the perimeter of the rectangle is P = 2(2w + 5)
Writing an equation to show the perimeter of the rectangleFrom the question, we have the following parameters that can be used in our computation:
Length = 5 more than the width
Also, we have
Perimeter = 58
This means that
P = 2(w + 5 + w)
P = 2(2w + 5)
Calculating the dimensions and the areaIn (a), we have
P = 2(2w + 5)
This gives
2(2w + 5) = 58
So, we have
2w + 5 = 29
2w = 24
w = 12
Next, we have
l = 12 + 5
l = 17
Lastly, we have
Area = 17 * 12
Area = 204
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The market is located at point (−3, −2) on the coordinate graph.
The barber shop is 6 units to the right and 5 units up from the market.
Graph two points on the coordinate grid to show the location of the market and the location of the barber shop.
Answers
Answer:
(2,4)
Step-by-step explanation:
What function translates the function f(x)=|x| to the right 2 units and up 10 units?
g(x)=
Answers
The image of the function after the translation is g(x) = |x - 2| + 10
How to determine the equation of g(x) after the transformation?From the question, the given parameters are:
f(x) = |x|
The transformation is given as
Translate the function to the right 2 units and up by 10 units
Mathematically, this transformation can be represented as
(x, y) = (x, - 2 y + 10)
When represented as a function, we have
g(x) = f(x - 2) + 10
So, we have
g(x) = |x - 2| + 10
So, we have the following equation
f'(x) = |x - 2| + 10
Hence, the equation of g(x) is g(x) = |x - 2| + 10
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What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
Answers
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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1. Zachary grew a small garden as part of a science experiment. After observing his plants for several weeks, he noticed that of the
plants had yellow blossoms. Of the plants with yellow blossoms, had dark green leaves. What fraction of the plants had yellow blossoms with dark green leaves?
Answers
The fractiοn οf the plants had yellοw blοssοms with dark green leaves is 1/6
What dοes divisiοn οf fractiοns mean?A fractiοn is divided intο additiοnal equal pieces when it is divided intο fractiοns. Fοr instance, if yοu had three-fοurths οf a pizza remaining and divided each slice intο twο pieces, yοu wοuld have received six slices, which wοuld be equivalent tο six-eighths οf the entire pizza.
The fractiοn οf the plants had yellοw blοssοms with dark green leaves
= 2/4 the οf 1/3
= 2/4 * 1/3
=1/2 *1/3
=1/6
The fractiοn οf the plants had yellοw blοssοms with dark green leaves is 1/6
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how many like terms are in the expression 4j^2 +3j^2-9j^2
Answers
Answer: 16j^3+2
Step-by-step explanation:
What is a circumference of a circle with a. Radius of 50 Feet
A) 25
B)2500
C)100
D)50
Answers
Ft:157.1
M:47.88