The slope of the line that passes through the points is -5
How to determine the slope?The complete question required that we calculate the slope of the line.
The points are given as:
(0,35) (1, 30), (2, 25), (3, 20), (4, 15), (5, 10), (6, 5)
The slope (m) is calculated using:
m = (y₂ - y₁)/(x₂ - x₁)
Using the given points, we have:
m = (30 - 35)/(1 - 0)
Evaluate
m = -5
Hence, the slope of the line is -5
See attachment for the graph
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what type of angle is mabc=170
Answer:
obtuse (anything above 90* is obtuse)
Step-by-step explanation:
CAN SOMEONE ANSWER THIS CORRECTLY PLZ!
Answer:
DFG = 28⁰
because DEFG is a rhombus
=> DF is a bisector of angle EFG
=> EFD = DFG
we also have: EG is perpendicular with DF
EG cuts DF at O
=> EOF is a right triangle at O
=> EFD = 90⁰ - 62⁰ = 28⁰
=> DFG = 28⁰
Helpppppp pleaseeeer
Answer:
D is the answer
Step-by-step explanation:
What does Sin mean in geometry
Answer:
in mathematics, the sine is a trigonometric function of an angle.
Step-by-step explanation:
The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).
Fixed point: 0
Critical point: kπ + π/2
Inflection point: kπ hope this helps you :)
Answer:
sine= hypotenuse/opposite
Step-by-step explanation:
In mathematics, the sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse).
Simplify
-6 - 7(c + 10)
A 64 - 7c
B -76 - 7c
C 4 - 13c
D -16 - 13c
Complete the table of values for y = 3x - 2
Table
x: -1, 0, 1, 2
y:
Answer:
y= -5
y= -2
y= 1
y= 4
Step-by-step explanation:
plug in the values of x into the equation
The values of 'y' for the given values of \(x = - 1, 0, 1, 2\) are \(- 5, - 2, 1, 4\) respectively.
What is a linear equation?A linear equation is an equation that has one or multiple variables with the degree of the polynomial is 1.
The given linear equation is
\(y = 3x - 2\)
The given values of \(x = - 1, 0, 1, 2\).
For \(x = - 1, y = 3(- 1) - 2 = - 5\)
For \(x = 0, y = 3(0) - 2 = - 2\)
For \(x = 1, y = 3( 1) - 2 = 1\)
For \(x = 2, y = 3(2) - 2 = 4\)
Therefore, the table will be:
x y
- 1 - 5
0 - 2
1 1
2 4
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Direction: Use your scientific calculators to find the measure of angle 0, to the nearest minute.
Good Perfect Complete=Brainlist
Copy Wrong Incomplete=Report
Good Luck Answer Brainly Users:-)
All the measure of angle θ, to the nearest minute are,
⇒ tan 35° = 0.70
⇒ sin 60° = 0.87
⇒ cos 25° = 0.91
⇒ tan 75° = 3.73
⇒ cos 45° = 0.71
⇒ sin 20° = 0.34
⇒ tan 80° = 5.67
⇒ cos 40° = 0.77
We have to simplify all the measure of angle θ, to the nearest minute as,
1) tan 35 degree
⇒ tan 35° = 0.70
2) sin 60 degree
⇒ sin 60° = √3/2 = 0.87
3) cos 25 degree
⇒ cos 25° = 0.91
4) tan 75 degree
⇒ tan 75° = 3.73
5) cos 45 degree
⇒ cos 45° = 1/√2 = 0.71
6) sin 20 degree
⇒ sin 20° = 0.34
7) tan 80 degree
⇒ tan 80° = 5.67
8) cos 40 degree
⇒ cos 40° = 0.77
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John's room is 12 feet by 8 feet. Spencer's room is 14 feet by 9 feet. How much larger is Spencer's room than John's room
Answer: 30 sq ft
Step-by-step explanation:
Let's calculate the area of both rooms.
John's room is 12x8 ft, so we can multiply to get the area. 12x8=96 ft squared.
Spencer's room is 14x9 ft, so we will do the same thing. 14x9= 126 ft squared.
Now, we can subtract 96 from 126 to find out how much larger Spencer's room is. 126-96= 30 ft squared.
hope this helped!
please help me :(
COORDINATE GEOMETRY SEATWORK 3
Triangle ABC is drawn on a
1cm² grid E is the point (0, 0)
1. (a) write down the gradient of the line AB
(b) The gradient of BC is -0.5
write down the equation of the line BC in the form y=mx-c.
Answer:
In the pics
Step-by-step explanation:
If you find my answer helpful, please consider marking it Brainliest
If you have any questions about the way I solved it, don't hesitate to ask me in the comments ;)
Solve for the value of w
33
(4w+5)
Answer:
w=7
Step-by-step explanation:
4w+5=33 Please let me know if I wrote the equation wrong
-5 -5 Get w by itself
4w=28
/4 /4 Divide by 4
w=7
In a sample of 230 commuting students, 111 reported that they walked to school. Can you conclude that fewer than half of the commuting students walk to school? Conduct a hypothesis test at the significance level of 10%. This hypothesis test is testing ____ Hence, you perform a ____ test. The alternative hypothesis has a Select] symbol in it and both of the hypotheses compare the parameter to the value ____ The value of your test statisticis ____which results in a p-value of ____You could also find the critical value, which is ____ Using the p-value or the critical value, you determine that you _____ This means that there is ____ evidence to say that the proportion of commuting students that walk is ____ at the _____ level of significance.
This hypothesis test is testing the proportion of commuting students who walk to school.
Hence, you perform a one-sample proportion test.
The alternative hypothesis has a "less than" symbol in it and both of the hypotheses compare the parameter to the value 0.5.
The value of your test statistic is -1.885, which results in a p-value of 0.030.
You could also find the critical value, which is -1.645.
Using the p-value or the critical value, you determine that you reject the null hypothesis.
This means that there is significant evidence to say that the proportion of commuting students that walk is less than half at the 10% level of significance.
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a landscape photographer observes that the peaks of the histogram are on the left side. what can the photographer deduce from the histogram?
A histogram is a graphical representation of the tonal range of an image. It shows how many pixels are found in an image for each tonal value.
Tonal values run from black on the left side of the histogram to white on the right side. In this case, if the peaks of the histogram are on the left side, then the photographer can deduce that the image is underexposed. This implies that the camera's exposure settings were not correctly calibrated or that there was a lack of light in the environment. When the peaks of the histogram are located on the left side, the image will have a lack of brightness and detail in the shadows.
A landscape photographer should be familiar with histograms and how they function to capture the ideal shot. A histogram is a graphical representation of the tonal range of an image. It shows how many pixels are found in an image for each tonal value. Tonal values run from black on the left side of the histogram to white on the right side. An ideal histogram should have tonal values distributed uniformly across the tonal range. However, if the peaks of the histogram are on the left side, then the image is underexposed. This implies that the camera's exposure settings were not correctly calibrated or that there was a lack of light in the environment.The underexposed image appears darker and lacking in detail in the shadows, which are important for landscape photography. To correct this issue, the photographer should adjust the camera's exposure settings or add more light to the scene, or both. The photographer could increase the ISO value, use a larger aperture, or slow down the shutter speed to fix the exposure. The goal is to reposition the peaks to the center of the histogram or as close as possible to the center of the histogram. Correcting the exposure settings will result in a well-balanced histogram that includes detail in the highlights and shadows.
If the histogram's peaks are on the left side, the image is underexposed. Adjusting the camera's exposure settings or increasing the amount of light in the scene will help the photographer obtain a properly exposed image with a balanced histogram.
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When Mt. St. Helens erupted in 1980, it reduced the elevation of the summit from 9,677 ft to 8,363 ft. By what percentage was the volcano's height reduced?
Answer:1314 or 13.14%
Step-by-step explanation:yes
If 25% of a number, n, is 6.25, what is 42% of n?
A.10.50
B.2.625
C.1.5625
D.5.250
Answer:
The answer is probably 10.50
(sorry if im wrong)
Step-by-step explanation:
Answer: The answer would be A: 10.50
Step-by-step explanation: 6.25 x 4 since it’s 25% this will get you 25 you then take 42% of 25 and get 10.50
27 is 30% of what number?
A 8585
B 9292
C 1212
D 90
Answer:
27 is 30% of what number?
D. 90
Step-by-step explanation:
You're welcome.
Holly's garden is divided into 5 equal sections. She will fence the garden into 3 areas by grouping some equal sections together. What part of the garden would each fenced area be? please help I forgot how to do it for my lil brother just answer E
There are two ways to fence the garden in 3 areas with some equal sections.
2/5, 2/5, 1/5 and 3/5, 1/5, 1/5.
Fraction definition
A fraction depicts a segment or component of the whole. It represents the equal parts that make up the whole. A fraction is made up of two parts: the numerator and the denominator. The number at the top is the numerator, and the number at the bottom is the denominator. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts that are taken.
Given The garden is divided into 5 equal pieces, each of which is 1/5 of the total garden size.
By arranging some equal parts together, she will fence the garden into three sections. There are two ways to do this.
(1/5 +1/5) = 2/5
(1/5 +1/5) = 2/5
1/5
these are the 3 areas 2/5, 2/5, 1/5.
and
(1/5 +1/5 + 1/5) = 3/5
1/5, 1/5
these are 3 areas = 3/5, 1/5, 1/5.
Hence there are only two ways to fence the garden into three areas by grouping some equal sections.
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Use your results from Exercise 13 to determine whether the given measures define 0,1, 2, or infinitely many obtuse triangles. Justify your answers.
a=15, b=15, m
When you are given two sides but no measurement of the angle, such as a = 15 and b = 15, we can create an infinite number of triangles.
For instance:
How many different triangles can be made if we have side lengths of 15 and 15 and an angle value of 0 to 360 degrees?
Using a protractor, make one of the triangles with sides of 25 metres and 21 metres, an angle of 12 degrees, and a third side that can be changed to your preferred length. You've constructed a triangle.
Similar to this, we can create a completely different triangle by varying the third side's length and angle measurement.
It's crucial to remember that you select the side lengths and angle. This implies that you might choose differently. You may create an infinite number of distinct triangles by using the same angles.
As a result, we can make an infinite number of triangles using just one angle and one side length.
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9
Which is the simplified form of the expression
(64)-
?
66
find the value of X plsss help!!
Answer: B
The Vertical Angles Theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent. This means that 48° should equal (7x+13)°, because they're vertical angles. The equation should appear as 48=7x+13. Subtract 13 on both sides to get. 35=7x. Divide 7 on both sides to result with x=5.
The displacement vector of a particle is given by r=(4.0+2.5t2)x^+(5/t)y^ 1) Find the AVERAGE VELOCITY during the interval t=1 s to t=10 s.(10 points) 2) What is the INSTANTANEOUS Velocity when t=0.5 s ? What angle does the Velocity vector make to the positive x-axis? (10 points) 3) A ball with velocity at 5 m/s, begins to roll DOWN from the top of a 10-meterIong ramp inclined at 33 degrees. Find the acceleration DOWN the ramp, and the final velocity once it reaches the bottom.
1) Average velocity = (254x + 0.5y - 6.5x - 5y) / 9s.
2) Instantaneous velocity at t=0.5s: v = 2.5x - 20y, angle with positive x-axis ≈ -80.54 degrees.
3) Acceleration = 5.25\(m/s^2\), final velocity = 10.27 m/s.
1) The average velocity during the interval t=1s to t=10s can be found by calculating the displacement over that time interval and dividing it by the duration. The displacement is given by r(10s) - r(1s):
\(r(10s) = (4.0 + 2.5(10^2))x + (5/10)y = 254x + 0.5y\)
\(r(1s) = (4.0 + 2.5(1^2))x + (5/1)y = 6.5x + 5y\)
Average velocity = (r(10s) - r(1s)) / (10s - 1s) = (254x + 0.5y - 6.5x - 5y) / 9s
2) The instantaneous velocity at t=0.5s can be found by taking the derivative of the displacement vector with respect to time and evaluating it at t=0.5s:
\(v(t) = d(r(t))/dt = (d(4.0 + 2.5t^2)/dt)x + (d(5/t)/dt)y\)
\(= (5t)x - (5/t^2)y\)
\(v(0.5s) = (5(0.5))x - (5/(0.5)^2)y = 2.5x - 20y\)
The angle that the velocity vector makes with the positive x-axis can be found using the arctan function:
θ = arctan(vy/vx) = arctan((-20)/(2.5)) = arctan(-8) ≈ -80.54 degrees
3) The acceleration down the ramp can be determined using the formula:
\(a = g sin(θ) = 9.8 m/s^2 * sin(33 degrees) ≈ 5.25 m/s^2\)
The final velocity once it reaches the bottom of the ramp can be found using the equation of motion:
\(v^2 = u^2 + 2as\)
Assuming the ball starts from rest (u = 0), the final velocity is given by:
v = sqrt(2as) = sqrt(2 * 5.25 * 10) ≈ 10.27 m/s
Therefore, the acceleration down the ramp is approximately 5.25 m/s^2 and the final velocity at the bottom is approximately 10.27 m/s.
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The box plots display data collected when two teachers asked their classes how many pencils they lose in a school year.
A box plot uses a number line from 5 to 47 with tick marks every one unit. The box extends from 8 to 14 on the number line. A line in the box is at 11. The lines outside the box end at 7 and 45. The graph is titled Mr. Johnson's Class, and the line is labeled Number Of Pencils.
A box plot uses a number line from 0 to 51 with tick marks every one unit. The box extends from 12 to 21 on the number line. A line in the box is at 14.5. The lines outside the box end at 0 and 50. The graph is titled Mr. Simpson's Class, and the line is labeled Number Of Pencils.
Which class lost the most pencils overall based on the data displayed?
Mr. Simpson's class; it has a larger median value 14.5 pencils
Mr. Johnson's class; it has a larger median of 11 pencils
Mr. Simpson's class; it has a narrow spread in the data
Mr. Johnson's class; it has a wide spread in the data
The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data
How to explain the informationThe answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.
In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.
Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.
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Aubrey has a new art box in the shape of a rectangular rectangular prism. The box is 12 cm space, by 20cm, 5 cm the only thing in the art box is a new pink eraser with the dimensions shown below. What is the volume of the art box not taken up by the eraser?
Answer:
By an online search, I've found that the dimensions of the eraser are:
4cm by 2cm by 0.5cm
First, we need to remember that for a rectangular prism of length L, width W, and height H, the volume is:
V = L*W*H
We know that the measures of the box are:
12cm by 20cm by 5cm
Then we can define:
L = 12cm
W = 20cm
H = 5cm
Then the total volume of the box is:
V = 12cm*20cm*5cm = 1200 cm^3
For the eraser, we will have:
L = 4cm
W = 2cm
H = 0.5cm
Then the volume of the eraser is:
v = 4cm*2cm*0.5cm = 4 cm^3
The volume of the box that is not taken up by the eraser is equal to the difference between the volume of the box and the volume of the eraser.
Then:
Volume not taken by the eraser = V - v = 1200cm^3 - 4cm^3 = 1196cm^3
find the unit rate
$28 for 7 people
Answer: 4 dollars per person . that would be it .
Step-by-step explanation:
Answer:
4$ per 1 person
Step-by-step explanation:
A ketchup Company purchased eight shipments of tomatoes, they were 900 tomatoes in each shipment how many did the company purchased in all
Answer:
7200 tomatoes
Step-by-step explanation:
8 shipments of tomatoes at 900 tomatos per shipment add up to 7200 tomatoes. That';s the product of 8 shipments and 900 tomatoes per shipment.
The r in the simple interest formula stands for rate which best describes how to use rate in formula
Convert it to a decimal and multiply is the best way to describe rate in simple interest formula.
Define rate.The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number. An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.
Given
The r in the simple interest formula stands for rate.
Convert it to a decimal and multiply is the best way to describe rate in formula.
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what is 8333333333/100000000000 simplified? It might be hard but I need help and it's for tonight. Thanks!
6÷2(1+2)= plsss help meee
Mrs. Maxwell is teaching a 5th grade class. She is standing 9 meters in front of Bruce. Ruth is sitting to Bruce's right. If Ruth and Mrs. Maxwell are 15 meters apart, how far apart are Bruce and Ruth?
9514 1404 393
Answer:
12 m
Step-by-step explanation:
The distances of interest are the sides of a right triangle whose right angle is at Bruce. The hypotenuse of the triangle is the Teacher-Ruth distance. The unknown side (x) can be found using the Pythagorean theorem:
x² + 9² = 15²
x² = 225 -81 = 144
x = √144 = 12
Bruce and Ruth are 12 meters apart.
Math question please help
FALSE
The distributive property comes in handy when we see an expression such as the following: 5(x + 3). This is because the 5 needs to be distributed to both the x and the 3.
For the given expression, combining like terms would be the next step because 2y and 6y can be added together.
Hope this helps!
In general, what is the relationship between the standard deviation and variance?
a. Standard deviation equals the squared variance.
b. Variance is the square root of the standard deviation.
c. Standard deviation is the square root of the variance.
d. These two measures are unrelated.
The relationship between the standard deviation and variance is that the standard deviation is the square root of the variance.
The correct option is -C
Hence, the correct option is (c) Standard deviation is the square root of the variance. Variance is the arithmetic mean of the squared differences from the mean of a set of data. It is a statistical measure that measures the spread of a dataset. The squared difference from the mean value is used to determine the variance of the given data set.
It is represented by the symbol 'σ²'. Standard deviation is the square root of the variance. It is used to calculate how far the data points are from the mean value. It is used to measure the dispersion of a dataset. The symbol 'σ' represents the standard deviation. The formula for standard deviation is:σ = √(Σ(X-M)²/N) Where X is the data point, M is the mean value, and N is the number of data points.
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