The coordinates of point N are (8.66, 21)
What is the general equation of a Straight line? What is Section Formula in 2 - D geometry?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The coordinates of a point dividing a straight line joining two coordinates in the ratio m : n is given by -
x = [tex]$\frac{mx_2+nx_1}{m+n}[/tex]
y = [tex]$\frac{my_2+ny_1}{m+n}[/tex]
We have LMN as a straight line such that the coordinates of L are (-3,1) , coordinates of M are (4,9) and LM : MN is 2 : 3.
Assume the coordinates of point N are (a, b).
We can write -
9 = (2b + 3)/5
4 = (-6 + 3a)/5
2b + 3 = 45
b = 21
3a - 6 = 20
3a = 26
a = 8.66
Therefore, the coordinates of point N are (8.66, 21)
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what is y=6x+20? Stemscopes
The solution of the given equation [tex]y=6x+20[/tex] is [tex]x = \frac{y + 20}{6}[/tex]
What is linear equation?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
We have,
[tex]y = 6x + 20[/tex]
Arrange the equation both sides so that all variable terms are on the left hand side.
[tex]6x - 20 = y[/tex]
Add 20 to both sides of the equation.
[tex](6x - 20) + 20 = y + 20[/tex]
[tex]6x = y + 20[/tex]
Divide both sides by 6 we get,
[tex]\frac{6x}{6} = \frac{y + 20}{6}[/tex]
∴ [tex]x = \frac{y + 20}{6}[/tex]
Hence, final solution is [tex]x = \frac{y + 20}{6}[/tex] .
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-8x-7=33 ''solve it ''
Answer:
Step-by-step explanation:
-8x-7=33
+7 +7
-8x=40
x=-5
esearchers performed a study on the effects of a nonsteroidal anti-inflammatory drug (nsaid) given before and after arthroscopic knee surgery. a sample of 67 patients undergoing elective knee arthroscopy was randomly divided into three treatment groups. researchers compared the mean pain scores of the patients in the three treatment groups one day after surgery, and the f value obtained was 4.79. which statement is false?
The F-test is used in regression analysis to test the hypothesis that all model parameters are zero. It is also used in statistical analysis when comparing statistical models.
Statistical models that have been fitted using the same underlying factors and data set to determine the model with the best fit. That is:
H₀ : B₁ = B₂ = ............. = Bₓ =0
H₁: Bₙ ≠ 0 for at least one j.
The F-test was developed by Ronald A. Fisher (hence F-test) and is a measure of the ratio of variances. The F-statistic is defined as:
F = [tex]\frac{explained variables}{unexplained variables}[/tex]
A general rule of thumb that is often used in regression analysis is that if
F > 2.5then we can reject the null hypothesis. We would conclude that there is a least one parameter value that is nonzero.
The F-distribution is generally a skewed distribution and also related to a chi-squared distribution. The f distribution is the ratio of X1 random chi-square variable with degrees of freedom ϑ1 and X2 random chi-square variable with degrees of freedom ϑ2. (In other words each of the chi-square random variable has been divided by its degrees of freedom)
The F-distribution is generally a skewed distribution and also related to a chi-squared distribution. The f distribution is the ratio of X1 random chi-square variable with degrees of freedom ϑ1 and X2 random chi-square variable with degrees of freedom ϑ2. (In other words each of the chi-square random variable has been divided by its degrees of freedom)
F =[tex]\frac{x_{1}/v_{1} }{x_{2}/v_{2} }[/tex]
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He makes a total of $500 for every 3 clients he
acquires.
How much money will 21 clients bring in?
3 thousand 500 dollars
Step-by-step explanation:3x7=21
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Using the velocity, the rocket reaches its maximum height at 3.25 seconds.
In the given question we have to find the maximum height at the rocket reaches.
From the question; a toy rocket is shot vertically into the air from a launching pad 5 feet above the ground with an initial velocity of 104 feet per second.
The height h in feet of the rocket above the ground at t seconds after launch is given by the function h(t)= -16t^2+104t+5.
As we know that at the maximum height, the velocity will be zero.
So the given function of the heigth is
h(t)= -16t^2+104t+5
Velocity(v) = dh(t)/dt = -32t+104
As the maximum height v=0
-32t+104 = 0
Subtract 104 on both side, we get
-32t= -104
Divide by -32 on both side
t= 3.25 seconds
Hence, the rocket reaches its maximum height at 3.25 seconds.
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A textbook store sold a combined total of 382 chemistry and biology textbooks in a week. The number of biology textbooks sold was 58
less than the number of chemistry textbooks sold. How many textbooks of each type were sold?
Number of chemistry textbooks sold:
Number of biology textbooks sold:
Answer:
chemistry books is 220 and number of biology books is 220
Step-by-step explanation:
let y be biology books
let x be the number of chemistry books
x-58=y
equation 1 ) x+y=382
sub in x-58 for y
2. x+(x-58)=382
3. 2x-58= 382
4. 2x=382-58
5. 2x = 324
6. x/2 =324/2
7. x = 162
for x=y+58
y=162
x 220
220+162=382
y+x=382
45 g and 60 b will go on a field trip. What is the maximum number of groups we can form where each group has the same number of g and the same number of b? How many g and how many b will each group have? Thank you.
Answer:
17
Step-by-step explanation:
First, add up the total and find a number divisible for your total which is 105. The next step will be to divide by a number that can go into it easily, like 3 for example. then you would get 35. Since we want the most groups try a number *2 of 3 and that will be 6. After you divide you'll get 17.5 . and since there isn't .5 of a person you go to the lowest number ( not rounding ) and that'll be 17 since 105 divide another multiple of 3 would get you 11.66 repeated.
Suav has a loyalty card good for a discount at his local grocery store. The item he wants to buy is priced at $21, before discount and tax. After the discount, and before tax, the price is $19.53. Find the percent discount.
The percent discount given to Suav in the local grocery store is
How to find the the percent discountinformation given in the problem
The item Suav wants to buy in the grocery store is priced at $21
After the discount, and before tax, the price is $19.53
The discount is found by subtraction as follows
discount = price at the store - price before tax
discount = $21 - $19.53
discount = 1.47
Discount in percent
the problem is discount of the price at the store
percentage deals with a fraction hundred and used as follows
= 1.47/21 * 100
= 7/100 * 100
= 7%
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NEEDS ANSWERING NOW: A carpenter uses 8 1/2 ft of cedar for every 13 2/3 ft of redwood for a construction project. If the carpenter uses 4 1/4 ft of cedar, how much redwood does she need? Use pencil and paper. Is there more than one way to find the amount of redwood? Explain.
The redwood that the carpenter needs is 5 [tex]\frac{5}{6}[/tex] feet.
How to calculate the value?From the information, the carpenter uses 8 [tex]\frac{1}{2}[/tex] ft of cedar for every 13 [tex]\frac{2}{3}[/tex] ft of redwood for a construction project.
Let the redwood needed be illustrated as x.
It's important to note that 4 [tex]\frac{1}{4}[/tex] is half of 8 [tex]\frac{1}{2}[/tex]. Therefore, we will divide the redwoods given earlier by 2. This will be:
= 13 [tex]\frac{2}{3}[/tex] ÷ 2.
= 41 / 3 × 1/2
= 41 / 6.
= 6 [tex]\frac{5}{6}[/tex] ft
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convert 730 hours into minutes
Answer:
730 hours = 43800 minutes
Step-by-step explanation:
Formula = multiply the time value by 60
Answer:
43,800 minutes
Step-by-step explanation:
convert 730 hours into minutes
there are 60 minutes in 1 hour so:
730 * 60 = 43,800 minutes
Tyler bought a bowling ball for $80. Sales tax is 7%. What is the total cost of the bowling ball?
Answer:
Step-by-step explanation:
first multiply
80* 7% you can also do it as 80* (7/100)
=5.6
then,
add 80 and the ans of 80* (7/100)
80+5.6= 85.6
(Constant of Proportionality MC)
The table shows a proportional relationship
X 1 2 3
y 14 28 42
Write an equation that represents the proportional relationship. Pls help
The equation that represents the proportional relationship is y = 14x.
We are given a table. The table contains the values for "x" and "y". The first row contains the data for the variable "x". The values of "x" are 1, 2, and 3. The second row contains the data for the variable "y". The corresponding values of "y" are 14, 28, and 42. We know that the table shows a proportional relationship between the values of "x" and "y". Let the constant of proportionality be represented by the variable "k".
y ∝ x
y = k*x
k = y/x
The value of k must be the same for each corresponding pair of values of "x" and "y".
k = 14/1 = 28/2 = 42/3 = 14
Hence, the equation is y = 14x.
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Answer:
y = 14x.
Step-by-step explanation:
Answer Asap
Thank u
Angle are ,x = 45 and y = 45
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.acc to our question-
x + 45= 90x = 90-45x=45as x and y are alternate interior anglesy = 45Hence,Angle are ,x = 45 and y = 45
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x+x+x+x+x please help!!!!!
Step-by-step explanation:
well this is a rather odd equation but I'm assuming that
x+x+x+x+x = 5x
Convert this Slope Intercept Form equation into Standard Form. y=2x-12
Answer: -2x+y=-12
Step-by-step explanation:
After what I did this is what i got. Can't really explain it
Hope this helps :)
I fill the 42 l tank in my car and take a 360 km trip. if my car consumes gasoline at a rate of 8 l per 100 km, how much farther can i go before i run out of gasoline?
Using the principle of proportional relationship, you can go 165km farther after the trip of 360km with 42L gasoline in the tank.
Consumption rate =[tex]8L[/tex] for [tex]100 km[/tex]
So, per number of Km per Litre is
[tex]8L = 100km[/tex]
[tex]1 L = x[/tex]
so,
[tex]8x = 100[/tex]
[tex]x=8 \div 100\\[/tex]
[tex]x= 12.5[/tex] kilometer per Litre
Number of kilometers for [tex]42 L[/tex]
[tex]12.5 km = 1 L[/tex]
[tex]y=42L[/tex]
On, Cross multiplying
[tex]y = 12.5\times42[/tex]
[tex]y = 525 km[/tex]
The difference in the distance [tex]= 525 - 360 = 165 km[/tex]
Therefore, the gas can go for a further [tex]165 km[/tex]
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Using your academic vocabulary and writing at least 5-7 sentences, give the (x, y) solution to the system and explain how to
solve it using the SUBSTITUTION METHOD. If your explanation uses any other method (graphing calculator or linear combination), you will not receive credit for this writing assignment.
y - 3x + 7
5x-y-5
5. If f(x)=4x - 1 and f(x)=11, find x.
Answer:
x = 3
Step-by-step explanation:
f(x)=4x - 1
f(x)=11, find x.
We want the value of x that would make 4x-1 equal to 11. Use 11 instead of f(x):
f(x)=4x - 1
11=4x - 1
Solve:
12 = 4x
x = 3
If x were 3, 4x-1 would be 4*3-3 or 11
2
5. A square bathroom with side length 8m
needs tiling. One pack of tiles covers 10m².
How many packs do I need?
Answer:
6.4 packs (7 as integer)
Step-by-step explanation:
Area of the square: 8^2 = 64 m^2
64 : 10 = 6.4
PLS HELPP TYSM I NEED HELP ASAPPPP
Answer:
x = 7
Step-by-step explanation:
(10x+30)° and (17x-19)° are
EQUAL TO EACH OTHER
10x+30 = 17x-19
7x = 49
x = 7
desmos
What is the quotient of 7 over 8 divided by 2 over 5?
Answer:
2 3/16
Step-by-step explanation:
It's simple math :D
NOVEMBER QUOTE!
Ooo! It's fall and thanksgiving time! I gotta get prepared for Thanksgiving and so my friends will come over! Fun! - Ash the Fox
(sorry that ones so long- ;-;)
Henry Bonnacio deposited 1,000 in a new savings account at First National Bank. He made no other deposits or withdrawls. After 6 months the interset was computed at an annual rate of 6 1/2%. How much simple interst did his money earn.
PLEASE HELP ASAP! (QUESTION IN IMAGE + 15 Points)
One angle of an isosceles triangle measures 128°. What measures are possible for the other two angles? Choose all that apply.
Answer:
Hmm I am not sure, but I think you should try 44 and 26!
Step-by-step explanation:
Reply back if its right :)
Write the standard form of the equation of the line passing through (-5, 1) and is parallel to y = -2/5x -5
The equation of the line passing through (-5, 1) and is parallel to y = -2/5x -5 in standard form is 5y + 2x = -5
How to find the equation of a line?The equation of a line can be represented in standard form or slope intercept form as follows;
Slope intercept form,
y = mx + b
where
m = slopeb = y-interceptLine are parallel when they have the same slope.
Therefore, the slope of the equation has a slope of - 2 / 5 x.
The line passes through (-5, 1).
Hence, let's find y-intercept.
y = - 2 / 5 x + b
1 = - 2 / 5 (-5) + b
1 - 2 = b
b = -1
Therefore, y = -2 / 5x - 1.
The equation in standard form should be in the form Ax + By = C.
Hence,
y + 2 / 5 x = -1
5y + 2x = -5
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Swimming pool A holds 215 gallons
213 gallons of water. How many times as many gallons does pool a hold
than pool B? (Example 5)
2B times as many gallons does pool A hold than pool B.
What is gallons?
The gallon is a volumetric unit that is used in both imperial and American customary measurements.
The imperial gallon (imp gal), which is equal to 4.54609 liters and was once used in various Caribbean nations as well as the United Kingdom, Ireland, Canada, Australia, and Australia.
Given:
Swimming pool A has 2^15 gallons of water.
Swimming pool B has 2^13 gallons of water.
We have to find the number of times pool A hold than pool B.
It is obvious that Swimming Pool A holds more water than Swimming Pool B.
Consequently, we must determine how many times as many gallons Pool A holds as Pool B:
2^15 > 2^13.
Therefore,
A = 2^15, B = 2^15
[tex]A = (\frac{2^1^5}{2^1^3}) B = 2B\\ A = 2B[/tex]
Hence the proof.
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There are 9 adults waiting in line to get the newly released "grown-up" happy meal. What is the probability that
hey are lined up from shortest to tallest?
not an answer, but ik the probability that they'll get one - 0% because they have been discontinued already :D
Please help me (see attachment)
Are the following rectangles similar? Show your work pls (yk how teachers are)
No the two rectangles are not similar as the ratios of the sides are not equal.
Two rectangles are said to be similar if the ratio of the sides of the rectangles are equal.
Now let us consider the given rectangles:
In rectangle ABCD:
AB = 18
AD = 36
In rectangle WXYZ :
WX = 25
XY = 45
Now the ratio of the sides of the rectangle are:
AB/AD = 18 / 36 = 1 / 2
WX/XY = 25 / 45 = 5 / 9
Thus we can see that AB : AD ≠ WX : XY
Hence the rectangles are not similar.
If the ratios of the adjacent sides of two rectangles are equal, then they are similar. A rectangle is a quadrilateral in the Euclidean plane because it has four right angles.
Other definitions include a parallelogram with a right angle or a quadrilateral that is equiangular, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
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A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing an additional cost for each book printed. The total production cost C (in dollars) is given by the function C=650+17.95N, where N is the number of books.
The total revenue earned (in dollars) from selling the books is given by the function R=31.90N.
Let P be the profit made (in dollars). Write an equation relating P to N. Simplify your answer as much as possible.
P = ?
Homework help lolol
Answer: 67
Step-by-step explanation:
do the math
a conical tent is to accommodate 11 persons. each person must have 4 m2 of the space on the ground and 20 m3 of air to breathe. find the height of the cone.
The height of the conical tent is 15 metres.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc toour question-
Let the radius of the base of the conical tent be r metres and its height be h metres. Area of the base = ( 4 × 11 ) m 2 = 44 m 2 ⇒ π r 2 = 44 m 2 =(4×11)m2=44m2⇒πr2=44m2(i) Volume of the cone = ( 20 × 11 ) m 3 = 220 m 3 =(20×11)m3=220m3 ⇒ 1 3 π r 2 h = 220 m 3 ⇒ π r 2 h = 660 m 3 ⇒13πr2h=220m3⇒πr2h=660m3.(ii) On dividing (ii) by (i), we get π r 2 h π r 2 = 660 m 3 44 m 2 ⇒ h = 15 m πr2hπr2=660m344m2⇒h=15m Hence, the height of the tent is 15 metreslearn more about unitary method click here:
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