The numerical form of the statement the product of 9 and a number is
9n - 9.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
The given statement is 9 is subtracted from the product of 9 and a number.
Let the number be 'n'.
Therefore, The statement 9 is subtracted from the product of 9 and a number can be numerically written as,
9n - 9.
We can also take 9 as a common factor,
9(n - 1).
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The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. What is the slope of the line that passes through the points? 2 3 6 9
Solution :
the differences in the X coordinates and Y coordinates:
The x-coordinate tells you how many steps you have to take to the right (positive) or left (negative) on the x-axis. And the y-coordinate tells you have many steps to move up (positive) or down (negative) on the y-axis.
Given : difference in the x-coordinates of two points is 3
the difference in the y-coordinates of the two points is 6
The slope of the line :
In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.
The net change in the y-coordinate is represented by Δy and the net change in the x-coordinate is represented by Δx.
Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,
m = change in y/change in x = Δy/Δx
Where “m” is the slope of a line.
Tan θ = Δy/Δx can also represent the slope of the line
So, tan θ to be the slope of a line.
Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The letter ‘ m’ usually represents the slope.
If P(x1,y1) and Q(x2,y2) are the two points on a straight line, then the slope formula is given by:
Slope,
m = Change in y-coordinates/Change in x-coordinates
m = (y2 – y1)/(x2 – x1)
Therefore, based on the above formula, we can easily calculate the slope of a line between two points.
In other terms, the slope of a line between two points is also said to be the rise of the line from one point to another (along the y-axis) over the run (along the x-axis). Therefore,
Slope, m = Rise/Run
Use the slope formula.
the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or
the change in the y values over the change in the x values.
The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2. It does not matter which point you label as the first point and which you label as the second. Don't forget to include the correct sign of each value. Simplify to get the value of the slope. Check the your answer by graphing the points and verifying that the vertical distance between the two points and the horizontal distance between the two points is captured by the numerator and denominator of the slope
Ponit (2,3) & (6,9)
Slope of Line = y2-y1/x2-x1
= 9-3/3-2
=6/1
Slope of Line = 6
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How do you do order of operations?
What do I divide by ?
Answer:
you did it wrong
Step-by-step explanation:
you add the 2 negatives to qual -5 then divide both sides by -5
Should be -1.6
Approximately 33 comma 200 citizens of a country died in automobile accidents in 2015. Express this toll in deaths per day
The toll of death per day in 2015 is 91.
We are given the approximate number of people who died in year 2015, which is 33,200. Now, as per the known fact, the year 2015 has 365 days. So, we can easily calculate the toll in deaths per day by performing division.
Number of deaths in 365 days = 33,200
Number of deaths each day = 33,200 ÷ 365
Performing division to find the number of deaths per day
Number of deaths each day = 90.96
Rounding off the digits to find number of deaths each day
Number of deaths each day = 91
Hence, this toll in deaths per day is 91.
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find the larger angle given the following: the angles are complementary. the smaller angle is equal to 1⁄3 of the larger angle.
The larger angle is 67.5°.
When two angles add up to 90 degrees, they are complimentary.
Let L be the larger angle and S be the smaller angle
Given, smaller angle is 1/3 of larger angle
Thus, S = L/3
But, L + S =90
L + (L/3) =90
4L/3 = 90
4L = 270° .Therefore, L = 270 / 4 = 67.5°.
Thus the larger angle is 67.5°.
Which angle is wider?
Right angles (90 degrees), acute angles (smaller than a right angle), and obtuse angles are the three types of angles that we can recognize (larger than a right angle).
The vertex of an angle is the position where two factors come contact. The Latin word "angulus," which means "corner," is where the term "angle" originates. Angles Neighboring Us An angle can be found in many everyday objects, including fabric hangers, arrowheads, scissors, partially open doors, pyramids, table edges, ruler edges, etc.
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Help me with this question please
Answer: (1,0)
Step-by-step explanation:
Point is located on the x-axis
Hence, y=0
Thus, (1,0)
The forecasting method that is appropriate when the time series has no significant trend, cyclical, or seasonal effect is _____.
The forecasting method that is appropriate when the time series has no significant trend, cyclical, or seasonal effect is moving averages.
What is forecasting?Using past data as inputs, forecasting is a process that produces accurate predictions of the future course of trends. Businesses use forecasting to decide how to spend their budgets and make plans for forthcoming costs. Typically, this is based on the anticipated demand for the provided goods and services. Forecasting is a tool used by investors to predict if certain events, such sales projections, would raise or lower the price of a company's stock. For businesses that require a long-term view on operations, forecasting also offers an essential benchmark.
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There are 10 rulers and 25 packages of tape to be boxed. Each box must contain only one type of item, and every item must be boxed. What is the most that can be placed in a box so that each box has the same number of items?
A. 2
B. 5
C. 10
D. 15
A box can hold up to 15 items ensuring that every box contains the same quantity of items.
Given there are 10 rulers and 25 packages of tape.
Only one type of item may be present in each box.
Simply put, probability is the likelihood that something will occur.We can discuss the chance or likelihood of various outcomes when we don't know how an event will turn out. Statistics is the study of events that follow a probability distribution.The chance of an event happening is equal to 1 if there is no doubt about its likelihood. In other words, there is a 1 in the chance of an event. An event's probability is zero if there are no chances that it will occur.
In the event when 25 packages of tape and 10 rulers have to be placed in a box, the answer is 25 - 10 = 15.
then only 15 items that can be placed in a box so that each box has the same number of items.
Hence we get the desired result.
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The producers of a concert are going to use
television screens to show larger-than-life images
of the band using a scale of 2 inches = 3 feet.
The lead singer of the band is 6 feet 2 inches tall,
now tall will the singer be on the screen?
144 feet
111 fost
63 feet
9 feel
Answer:
111 feet
Step-by-step explanation:
The scale used to blow up the the lead singer (and the band) is
2 in : 3 feet
==> 1 in : 3/2 feet
Let X be the height of the band leader in inches and the blown-up image be Y
X = 6' 2" = 6 x 12 + 2 = 72 + 2 = 74"
Then Y = (3/2) x H
Y = (3/2) x 74" = 111 feet
Hiking up a mountain, you notice that the air temperature drop 10°C for every 1,00 meters in elevation. The temperature was at 68°F at 2,000 meters in altitude. If the hiker is now at altitude of 5,000 meters, what is the current temperature? Show your work.
Answer:
you're given a *rate* of decrease and then the *extent* of the "cause". SO the rate is 10C/1000m (right? You understand why this is a rate? You go 1000m up, the temperature drops 10C. And it happens continually, bit by bit, as you climb. That's a rate!
But, you don't stop with climbing just 1000m: you climb 1000m twice *more*. So, how much has the temperature dropped in all, by the end?
You really should be able to put this together as 10C/1000m x 3000m = result. It will be in units of (degrees) C.
Now, finish the problem and get down the mountain, before you freeze (also, winds kick up more on mountains -- a double whammy).
Step-by-step explanation:
REWRITE USING SET BUILDER NOTATION
a) the set of natural numbers less than 10
b) the set of integers greater than -7 but less than 7
c) the set of whole numbers greater than zero but less than or equal to 20
Answer:
See explanation
Step-by-step explanation:
n=number
a. { n ∈ N | n<10 } ==> N denotes natural numbers
b. { n ∈ Z | -7<n<7 } ==> Z denotes integers
c. {n ∈ W | 0<n<=20 } ==> W denotes whole numbers
For each pair of figures below, choose how they are related.
Translation
Reflection
Rotation
None of these
1 t
Translation
Reflection
O Rotation
None of these
M
1
O Translation
O Reflection
Rotation
O None of these
S
Translation
Reflection
O Rotation
O None of
Figure 1, 2,3and 4 are the cases of rotation, reflection, not the case of any options and rotation respectively
Figure 1 is the case of rotation as the two figures are of exact same size and same shape and are rotated at a angle
Figure 2 is the case of reflection as both the figures are mirror reflection of each other and are of exact same size and same shape
Figure 3 is a case of neither transition, refection nor rotation as the two figures are not of exact same size or shape
Figure 4 is a case of rotation as the two figures are of exact same size and same shape and are rotated at a angle
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Pierce sold six gallons of paint for $75.78. What was the price per gallon of the paint?
Una compañía de teléfonos celulares ofrece dos planos de mensajes de texto la gente que usa plan a pagar 10 centavos por cada mensaje enviado o recibido la gente que usa Plan B paga $12 por mes y paga 2 centavos adicionales por cada mensaje enviado o recibido escribe una disculpa desigualdad que representa el hecho de qué los más barato que alguien o sea plan a que al plan de usar es para los representar la cantidad de mensajes de texto que envié
Using linear functions, it is found that:
Plan A is cheaper for less than 150 messages.Plan B is cheaper for more than 150 messages.What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.For each plan, we have that:
The slope is the cost per message.The intercept is the fixed monthly cost.Hence the cost functions for sending x messages are given as follows:
A(x) = 0.1x.B(x) = 12 + 0.02x.The costs will be the same when:
A(x) = B(x)
Hence:
0.1x = 12 + 0.02x
0.08x = 12
x = 12/0.08
x = 150.
Due to the lower intercept of plan A, and the lower cost per message of plan B, we have that:
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There are 4 roses in a vase of 13 flowers. The rest are daisies.
(a) What is the ratio of all flowers in the vase to daisies?
(b) What is the ratio of daisies to roses?
Answer:
Ratio of the roses = 4:13
Ratio of the daisies = 9:13
All the flowers ratio = 13:13
Step-by-step explanation:
(a) What is the ratio of all flowers in the vase to daisies?
ans: All the flowers ratio - Ratio of the daisies
13:13 - 9:13 = 4:13
(b) What is the ratio of daisies to roses?
ans: Ratio of the daisies - Ratio of the roses
9:13 - 4:13 = 5:13
Sorry if its wrong
Hope it helps!!!
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PLEASE HELP ASAP. I am stuck
a. how far is the delivery from the starting point in miles
b. which vehicle would take longer to finish the delivery, the car or the truck
and how much longer would the faster vehicle be than the slower one.
Please explain why
Part A
Answer: 360 milesReason:
The graph shows the highest point occurs when y = 360. After this point, the truck turns around to go back to the starting point (the warehouse perhaps).
In other words, the truck starts at y = 0 when it's at the warehouse. It travels 360 miles to reach the customer, which is represented as the highest point of the V shaped curve. This process takes 6 hours.
Then another 6 hours elapses when the truck drives back to the warehouse. We assume the same route is used, and similar traffic conditions occur for each leg of the trip.
============================================================
Part B
Answer: The truckReason:
The graph shows that the truck takes 12 hours to get back to the warehouse. We look at the x intercept because this is when the distance from the start is back to y = 0 again.
Now we need to find out how long the car takes on its trip.
We'll plug in y = 0 into the car's equation and solve for x.
y = -72|x-5| + 360
0 = -72|x-5| + 360
72|x-5| = 360
|x-5| = 360/72
|x-5| = 5
x-5 = ± 5
x-5 = 5 or x-5 = -5
x = 5+5 or x = -5+5
x = 10 or x = 0
x = 0 or x = 10
This tells us that the car is at the warehouse when x = 0 and when x = 10.
Therefore, the car takes 10 hours to do a round trip, and it's the faster vehicle.
Show how to convert 83 1/3%
Answer:
5/6
Step-by-step explanation:
83 1/3% =
= (83 + 1/3)% <------- the mixed numeral 83 1/3 is the same as 83 + 1/3
= (249/3 + 1/3)% <---- to add 83 + 1/3, use the common denominator 3
= 250/3 % <---- the sum of 83 and 1/3 is 250/3, but this is still percent
= (250/3) / 100 <---- to change percent to decimal, divide percent by 100
= 250/300 <---- now we need to reduce this fraction
= 25/30 <---- divide numerator and denominator by 10
= 5/6 <---- divide numerator and denominator by 5
Matthew scored −33 points in his turn at a video game. In Genevieve's turn, she scored fewer points than Matthew.
Use absolute value to describe Genevieve's score as a loss.
Genevieve lost more than 33 points in her turn at a video game.
Absolute value describes a number's distance from zero on the number line without taking direction into account. A number's absolute value is never negative.
Given that Matthew's score is −33 points.
In Genevieve’s turn, she scored lesser points than Matthew in her turn at a video game.
Let y be the points scored by Genevieve.
Then we have y < -33
⇒ | y | > | -33 | (Using absolute value on both sides)
⇒ | y | > 33
The absolute value of y can be any number greater than or equal to 34, while Genevieve's point in her video game turn is less than or equal to -34.
Therefore, Genevieve lost more than 33 points in her turn at a video game.
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a container with 3 1 2 gallons of weed killer can spray 2 1/4 lawns. how many gallons would it take to spray 2 lawns
Answer:
Step-by-step explanation:
my answer is 3 1/9 gallons
Given: a container with 3 1/2 gallons of weed killer can spray 2 1/4 lawns.
No. of gallons required to spray 2 lawns = x
So, first of all we should divide 3 1/2 with 2 1/4
now this division we should equalise with x/3
(3 1/2 ÷ 2 1/4) = x ÷ 2
after doing this we have got the value of x = 28/9 or 3 1/9
hence, 3 1/9 gallons is required to spray 2 lawns.
So . this question is related to capacity.
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Anthoy drew a pentagon with each side measuring 6inches. carol drew a hexagon with each side measuring5 inches which shape has a greater perimeter? write an equation to help explain your answer
Both the shapes will have the same Perimeter.
It is given that :
Anthony drew a pentagon whose each side measures 6inches
Whereas, Carol drew a hexagon whose each side measures 5inches
The formula to calculate the Perimeter of the Pentagon is: 5*a
and, the formula to calculate the Perimeter of the Hexagon is: 6*a
In the given formulas, 'a' represents the measure of the side for both the Pentagon & Hexagon.
Calculating, Perimeter of Pentagon P1 = 5 * a, where a = 6 inches
=> P1 = 5*6 => P1 = 30inch
Calculating, Perimeter of Hexagon P2 = 6*a, where a = 5 inches
=> P2 = 6*5 => P2 = 30inch
We get P1 = P2
Hence, Both the Pentagon & the Hexagon have equal Perimeters of 30inch
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Cailyn is packing 1-centimeter cubes into a prism. What is the volume of the prism.
If Cailyn is packing 1-centimeter cubes in a prism of same dimensions and in the same manner as as shown in the figure attached, where Joe is packing 1-centimeter cubes into the prism, then the volume of the prism is 210 cm³.
As per the question statement, Cailyn is packing 1-centimeter cubes in a prism of same dimensions and in the same manner as as shown in the figure attached, where Joe is packing 1-centimeter cubes into the prism.
We are required to calculate the volume of the prism.
As we can see from the reference diagram attached hereby, our prism can hold a 7 cubes along its length, 6 cubes along its width and 5 cubes along its height.
And since the constituent cubes are all identical and of volume 1 cm³, it means that all the dimensions (length, width and height) of each of the constituent cubes is 1cm.
Therefore, length of our prism [tex]=(7*1)=7[/tex] cm,
Width of our prism [tex]=(6*1)=6[/tex] cm,
And, height of our prism [tex]=(5*1)=5[/tex] cm.
Therefore, volume of our prism = (length * width * height)
[tex]=(7*6*5)\\=(42*5)\\=210[/tex]
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the question is on the image.
Answer: Mr Blade is typing at about 30 words per minute
Step-by-step explanation: all you have to do is multiply 9 x 40 since that is the amount of wpm (words per minute) by amount of time it takes Mr Adi and 9 x 40 = 360 than you have to divided 360 by 12 since that is the amount of time it takes Mr Blade to type the story and 360 divided by 12 equals 30
in a large population, 71% of the people have been vaccinated. if 5 people are randomly selected, what is the probability that at least one of them has been vaccinated?
The probability that AT LEAST ONE of them has been vaccinated is 0.9979.
Vaccination rate among the population: p = 0.71
Sample size = 5
Assume that X people have received vaccinations.
P(atleast one) = 1 - P (none)
By the binomial distribution, now,
P(none)= (⁵₀) 0.71° (1-0.71)⁵⁻⁰
= 1 × 1 (0.29)⁵
= 0.0021
So,
P(at least one) therefore equals 1 - P (none)
= 1 - 0.0021
= 0.9979
Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.9979
An explanation of probability theory?
Probability theory is a mathematical discipline that analyzes random encounters. A random event's outcome cannot be predicted before it occurs, but it could take any of several various forms. The end outcome is thought that it was determined by chance.
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Venus has switches at the top and bottom of her stairs to control the light for the stairwell. She notices that when the upstairs switch is up and the downstairs switch is down, the light is turned on.
b. If both the upstairs and downstairs switches are in the up position, will the light be on?
Explain your reasoning.
If both the upstairs and downstairs switches are in the up position, the light will be off
How to determine if the light will be on?The given parameters are
Switches = 2 i.e. top and bottom
Also, we have:
When the upstairs switch is up and the downstairs switch is down, the light is turned on.
This means that the light is only on when the upstairs switch is up and the downstairs switch is down
Any other position of the switches, the light is off
From the question, we have
Both the upstairs and downstairs switches are in the up position
This is different from the required position to on the light
Hence, the light will be off
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Find the general indefinite integral. (use c for the constant of integration.) 8 x9 dx
[tex]$$\begin{aligned}&\text { (1) } \int \sqrt[8]{x^9} d x=\int x^{9 / 8} \cdot d x=\frac{(x)^{\frac{9}{8}+1}}{\frac{9}{8}+1}+c=\frac{8 x^{17 / 8}}{17}+c\\\\&\Rightarrow \int \sqrt[8]{x^9} d x=\frac{8}{17} \sqrt[8]{x^{17}}+c,(c \text { is constant })\\[/tex]
What is indefinite integral?In the previous two chapters, we were given a function and asked to determine its derivative. We are now going to reverse the situation, beginning with this part. We now want to know what function we discriminated in order to obtain the function. This previous example has two implications. The initial goal was to encourage you to start considering solutions to these difficulties. First, it's crucial to keep in mind that we are only asking what we differentiated to obtain the specified function. The second thing to keep in mind is that we could potentially employ an endless number of different functions, and they would all be different by a constant.
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i need help, due today please lol
thank u
A: Domain: (1.25,0) Range: (0,1)
B: Domain: −2≤x≤2 Range: −2≤y≤3
C: Domain: −2≤x≤3 Range:−2≤y≤2
D: Domain: −4≤x≤4 Range: −4≤y≤4
E: Domain: −2≤x≤2 Range: −3≤y≤3
Answer:
The answer is B, Domain: −2≤x≤2 Range: −2≤y≤3
Step-by-step explanation
The function f is defined as follows
f(x)=3x^2+1
if the graph of f is translated vertically downward by 8 units, it becomes the graph of function g
FIND THE EXPRESSION FOR G(X)
g(x)=?
Answer:
g(x)=3x²-7
Step-by-step explanation:
Subtract 8 from 3x²+1.
3x²+1-8=3x²-7
g(x)=3x²-7
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PLEASE I NEED HELP!! URGENT!!!
please don't put in any spam answers :/
Answer:
hope this helped
Step-by-step explanation:
fluid ounces row 1) 64, row 2) 2
Cups row 2) 14
quarts row 1) 2
Spam Answer- Will the Wise
The coordinate -5 has a weight of 3 and the coordinate 3 has a weight of 1. Find the weighted average
The weighted average of the given coordinates with given weights is 3.
We are given the following information:The coordinate -5 has a weight of 3.The coordinate 3 has a weight of 1.The weighted arithmetic mean is similar to the conventional arithmetic mean in that certain data points contribute more than others to the final average.Now, we are given the formula to calculate the weighted average as,The weighted average is the sum of the weighted values divided by the sum of the weights.Thus,The weighted average is [(-5 * 3) + (3 * 1)]/(3 + 1).The weighted average is (-15 + 3)/4.The weighted average is -12/4.The weighted average is -3.We will take the absolute value of the weighted average, which is 3.To learn more about the weighted average, visit :
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846÷11 only asking to see if I got it right
Answer:
SEE BELOW
Step-by-step explanation:
846 divided by 11 = 76.909 ... or 76 11/10