Answer:
X=5 and y=-6
Step-by-step explanation:
Positive five cancels out -5 and—6 cancels out positive six, so you are left with 0 which equals 0.
What is the equation of the line of the best fit for the following data? Round to the slope and y-intercept of the line to three decimal places
Answer:
D. [tex]y=-0.927x+13.634[/tex]
Step-by-step explanation:
We graph the points on the graph. The graph is attached.
Let us take two points (1, 14) and (15, 1), and calculate the slope [tex]m[/tex]between them (we choose these points because the line passing through them will be the best fit for all points)
[tex]m=\frac{14-1}{1-15} =\frac{13}{-14} =-0.9286[/tex]
Thus we have the equation
[tex]y=-0.9286x+b[/tex]
Let us now calculate [tex]b[/tex] from the point [tex](1,14)[/tex]
[tex]14=-0.9286(1)+b[/tex]
[tex]b=14.9286[/tex]
So the equation we get is
[tex]y=-0.9286x+14.9286[/tex]
Let us now turn to the choices given and see which choice is closest to our equation: we see that choice D. [tex]y=-0.927x+13.634[/tex] is the closest one, so we pick it.
Evaluate the expression when n=5.
n^2-5n+3
Answer in factores form
The measure of one angle of a right angle is 50 more then the measure of the smallest angle
Answer:
70° and 20°
Step-by-step explanation:
let x be the measure of one angle then x + 50 is the measure of the other angle, thus
x + 50 + x = 90
2x + 50 = 90 ( subtract 50 from both sides )
2x = 40 ( divide both sides by 2 )
x = 20
The smallest angle is 20° and the other angle is 20 + 50 = 70°
An airplane travels 1800 miles from Los Angeles to Chicago in 3.6 hours going with the wind the return trip takes 4 hours and is against the wind find the rate of the airplane with no wind find the rate of the wind
PLEASE HELP
Answer:
The speed of the airplane is 475 miles/hour and the wind is 25 miles/hour.Step-by-step explanation:
Let, the speed of the airplane is x miles/hour and the wind is w miles/hour.
With the wind, the speed will be (x + w) miles/hour and against the wind, the speed will be (x - w) miles/hour.
As per the given question, [tex]3.6(x + w) = 1800\\4(x - w) = 1800\\(x - w) = 450[/tex]or, w = x - 450.
Now, [tex]3.6(x + w) = 1800\\2x -450 = 500\\2x = 950\\x = 475[/tex].
Thus, w = 475 - 450 = 25.
An angle measures 37.2° more than the measure of its complementary angle. What is the measure of each angle?
To find the measure of each angle, we can set up an equation and solve it for x, which represents one of the angles. The other angle can be calculated by subtracting x from 90. The answers are x = 63.6° and 90 - 63.6 = 26.4°.
Explanation:To solve this problem, we need to set up an equation based on the given information. Let x be the measure of one angle, and since the angles are complementary, the other angle will be 90 - x. According to the problem, x is 37.2° more than 90 - x. This can be written as the equation x = 90 - x + 37.2. Solving this equation, we find that x = 63.6°. Therefore, one angle measures 63.6° and the other angle measures 90 - 63.6 = 26.4°.
Learn more about Complementary angleshttps://brainly.com/question/1309590
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Order 1,2,4,5,3,6 from least to greatest
Answer:1,2,3,4,5,6
Step-by-step explanation:
Count
evaluate 1/2a^-4b^2 for a =-2 and b=4
Answer:
1/2
Step-by-step explanation:
Put the numbers where the corresponding variables are and do the arithmetic.
1/2(-2)^(-4)·(4)^2 = 1/2(4^2/(-2)^4) = 1/2(16/16) = 1/2
__
We used the rule of exponents ...
a^-b = 1/(a^b)
What is 15/16 - 1/4 in fractions
Answer:
11/16
Step-by-step explanation:
First get common denominators
1/4*4/4=4/16
15/16-4/16=11/16
11/16 is the answer
Final answer:
The difference between 15/16 and 1/4 is 11/16.
Explanation:
To find the difference between two fractions, we need to have a common denominator. In this case, the common denominator is 16.
Converting 1/4 into a fraction with a denominator of 16, we get 4/16.
Now we can subtract the two fractions: 15/16 - 4/16 = 11/16.
Therefore, the difference between 15/16 and 1/4 is 11/16.
As part of a statistical investigation why do statisticians gather a sample from the population?
A force that pushes or pulls is known as
A.
a reaction force.
B. an expected force.
C. a positive force.
D. an applied force.
Answer:
D. an applied force.
Step-by-step explanation:just did it
Answer:
an applied force.
Step-by-step explanation:
An applied force is a force that occurs by pushing or pulling.
An applied force is a contact force because it requires contact between the person or object pushing or pulling and the object being pushed or pulled.
GUYS PLEASE HELP ME PLEASE IT'S URGENT PLEASE GUYS PLEASE IF IT'S CORRECT I WILL MARK YOU BRANLIES PLEASE!!!! In the box, type the number that correctly completes the sentence.
Bryan had 24 coins in his pocket. He lost one-third of his coins. One-half of the lost coins were pennies. Bryan lost Answer
pennies.
Answer:
Its 4
Step-by-step explanation:
24÷3=8÷2=4
Answer:
the amount of pennies that Bryan lost is 16
Which steps will generate an expression equivalent to 14(x + 8)?
Answer:
Step-by-step explanation:
14(x + 8)....distribute thru the parentheses by multiplying the number directly to the left of the parenthesis, by everything in the parenthesis.
14(x + 8) = 14(x) + 14(8) = 14x + 112 <== equivalent
this is called the distributive property
Answer:
Step-by-step explanation:
Multiply each term in the parentheses by 14 and then add the products.
Determine any data values that are missing from the table, assuming that the data represent a linear function.
x
y
1
2
2
4
3
a.
7
c.
2
b.
6
d.
8
Please select the best answer from the choices provided
A
B
C
D
Final answer:
The missing data values 'a' and 'c' are determined by recognizing the linear pattern in the table, giving an 'a' value of 6 and a 'c' value of 14, which corresponds to answer choice B.
Explanation:
To determine the missing data values for a linear function, we need to identify the pattern in the given data points. We are given the data points (1, 2), (2, 4), and told that the function is linear. The change in the y-values as x increases by 1, is a consistent +2 (from 2 to 4 as x goes from 1 to 2).
To find the value of 'a' when x = 3, we add 2 to the previous y-value of 4 (at x = 2), resulting in an 'a' value of 6. To find the value of 'c' when x = 7, we add 2 repeatedly for each increase in x, which is 4 steps away from x = 3, resulting in a 'c' value of 6 + 2*4 = 14.
The missing data values 'a' and 'c' are 6 and 14, respectively, which corresponds to choice B.
who is our president
Answer:
trump
Step-by-step explanation:
(m+3n)8 plz help me now
Answer:
(8m+24n) is our final answer.
Step-by-step explanation:
Given:
(m+3n)8 ...
We have to simplify this.
Applying distributive property of multiplication:
Distributive property:
When a number is multiplied by a sum of two numbers then we will multiply 'the number' first with the number inside the parentheses then add it and again multiply 'the number' with the next number.
[tex]a(b+c)=ab+ac[/tex]
So,
⇒[tex](m+3n)8[/tex]
⇒[tex]m\times 8 + 3n\times 8[/tex]
⇒[tex]8m+24n[/tex]
Our final answer is (8m+24n).
The mass of Venus is 4.87 × 10 24 kg. The mass of Earth is 5.97 × 10 24 kg. What is the difference in mass between these two planets? 1.1 kg 1.1 × 10 24 kg 1.22 × 10 24 kg 0.81 kg
The difference in mass between Earth and Venus is 1.10 times 10²⁴ kg.
The question asks for the difference in mass between Venus and Earth. To find this, we subtract the mass of Venus from the mass of Earth. The calculation goes as follows:
Mass of Earth = 5.97 times 10²⁴ kg
Mass of Venus = 4.87 times 10²⁴ kg
Difference = Mass of Earth - Mass of Venus
Difference = (5.97 times 10²⁴) - (4.87 times 10²⁴) = 1.10 times 10²⁴ kg
So, the difference in mass between Earth and Venus is 1.10 times 10²⁴ kg.
You have 7 folders and you want to put the same number of pages in each folder if you have a total of pages how many pages will it be in each folder.
Answer:
7 in each folder for a total of 49 pages. 7x7=49
Step-by-step explanation:
You may put a number that is a multiple of 7 which divides in to seven folders pages evenly.
Final answer:
To determine the number of pages per folder, divide the total number of pages, which is 292,992, by the number of folders, which is seven. Each folder contains 41,856 pages.
Explanation:
The student has a total of 44,800mm shelf width, which converts to 292,992 pages at a rate of 6.54 pages/mm. To find out how many pages need to go into each of the seven folders, one would simply divide the total number of pages by the number of folders.
The calculation goes as follows:
Total pages / Number of folders = Pages per folder
292,992 pages / 7 folders = 41,856 pages per folder.
Each folder would therefore contain 41,856 pages.
Line that is perpendicular to y=3x-2 and passes through the point (-9,5)
Answer:
y = -1/3x + 2
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals.
The line y = 3x - 2 has slope 3.
The perpendicular line has slope -1/3.
Now we find the equation of the line that has slope -1/3 and passes through (-9, 5).
y = mx + b
y = -1/3x + b
5 = (-1/3)(-9) + b
5 = 3 + b
b = 2
The equation of the perpendicular is
y = -1/3x + 2
A. 37
B. 38
C. 39
D. 40
Hello ^w^
I believe the answer you are looking for is A
I found this answer by adding up the lengths of all the sides.
S -> T = 8
S -> R = 7
Q -> R = 6
P -> Q = 6
P -> T = 10
10 + 6 + 6 + 7 + 8 -> 37
A -> 37
If I am incorrect, please inform me.
Have a good day!
The bar graph shows changes in price of regular gasoline each year from 1996-2010. For example, at the end of 1996, the price per gallon for regular gasoline was $0.15 more than the price per gallon at the end of 1995. The price at the end of 1997 was $0.12 less than the price at the end of 1996, and so on.
Answer:
5 times
Step-by-step explanation:
First, we need to read the change in price in 2000 and 2007, from the graph.
So, the change in price in 2000 was $0.14 and in 2007 it was $0.71.
Now, we do the same thing we always do when comparing two values - we divide them. So:
0.71 / 0.14 = 5.07
Of course, we could multiply these values with 100, in order to avoid decimal numbers. Then we would get:
71 / 14 = 5.07
We could also divide this in the form of fractions:
71/100 / 14/100 = 5.07
There are several ways we could divide rational numbers, but the result will always be the same.
Change in price in 2007 was around 5 times greater than the change in 2000.
Find the area of the trapezoid 36mm by 15mm by 14mm.
Answer:
i think it is 357 hope this helps
Step-by-step explanation:
Answer:
1428mm
Step-by-step explanation:
Area = 0.5 (a + b) h
Area= 0.5 (36 + 15) 14
Area = 0.5 ( 51) 14
Area = 1428 mm or 1.428m
15 multiplied by 1/5
Answer:
iT WAS 3 Bum
Step-by-step explanation:
2/3 x 3/5 (multiply using Greatest Common Factor)
Answer:
.4
Step-by-step explanation:
Use a caluculator
Answer:
.4
Step-by-step explanation:
help.. Mike has a recipe that feeds one person that calls for 3/8 teaspoon of salt. How much salt is needed to make the recipe if he needs to cook the recipe for 8 people? a. 3/64 teaspoon c. 24/64 teaspoon b. 1 3/8 teaspoons d. 3 teaspoons
Answer:
3 teaspoons of salt is needed to cook the recipe for 8 people.
So, the correct option is d. 3 teaspoons.
Step-by-step explanation:
Given:
Mike has a recipe that feeds one person that calls for 3/8 teaspoon of salt.
Now, to find the quantity of salt is needed to cook the recipe for 8 people.
As, given the recipe feeds:
[tex]\frac{3}{8}[/tex] teaspoon salt per person.
Now, to get the salt needed to cook the recipe for 8 people we multiply [tex]\frac{3}{8}[/tex] by 8:
[tex]\frac{3}{8}\times 8[/tex]
[tex]=\frac{24}{8}[/tex]
[tex]=3.[/tex]
Thus, 3 teaspoons of salt is needed to cook the recipe for 8 people.
So, the correct option is d. 3 teaspoons.
10 gallons * 22 miles\
gallons
Answer:
2.2
Step-by-step explanation:
22 divide by 10 = 22 miles/2.2 gallons
hope it helps
The ratio of pages read to minutes for Hang is 5 : 8. Who has a greater ratio of pages read to minutes than Hang? Select all that apply. A. Kira:2 pages read every 4 minutes B. Joe:6 pages read every 9 minutes C. Quon:5 pages read every 7 minutes D. Lulu:10 pages read every 13 minutes E.
Answer:
B, C, and D
Step-by-step explanation:
By doing 5÷8 = .625 you know that Hang can read .625 of a page per minute.
You can do this for the rest of the people finding that Kira reads .5 page per minute which is a slower/ smaller ratio, Joe rate is .66, Quon's ratio is .71 and Lulus rate is .76, the only rate that is smaller than Hangs is Kira,s, leaving you with Joe, Quon, and Lulu to be your answer
Joe, Quon, and Lulu have a greater ratio of pages read to minutes than Hang. Their respective ratios are 0.6667, 0.714, and 0.769, each higher than Hang's ratio of 0.625.
Let's determine who has a greater ratio of pages read to minutes than Hang.
Hang's ratio is 5:8 or 5/8 = 0.625.
Kira: 2 pages in 4 minutes,ratio = 2/4 = 0.5 (less than 0.625)
2. Joe: 6 pages in 9 minutes,
ratio = 6/9 = 0.6667 (greater than 0.625)
3. Quon: 5 pages in 7 minutes,
ratio = 5/7 ≈ 0.714 (greater than 0.625)
4. Lulu: 10 pages in 13 minutes,
ratio = 10/13 ≈ 0.769 (greater than 0.625)
So, Joe, Quon, and Lulu have a greater ratio of pages read to minutes than Hang.
What is equivalent to 5x - 45
Answer:
Step-by-step explanation:
5x - 45 = 5(x - 9) <==
Find x- the length of the hypotenuse of the triangle
Answer:
X= 7
Step-by-step explanation:
Please help ASAP URGENT
The scatter plot below shows the number of pizzas sold during weeks when different numbers of coupons were issued. The equation represents the linear model for this data.
y = 3.4x + 43
According to the model, how many more pizzas are sold for each additional coupon issued?
A. 1 pizzas
B. 3.4 pizzas
C. 4.3 pizzas
D. 43 pizzas
E. 46 pizza
The question simply means how many pizzas are sold per coupon. The equation gives us 3.4x where x is the number of coupons issued. With each coupon issued 3.4 pizzas are sold.
For each additional coupon issued, 3.4 more pizzas are sold according to the linear model y = 3.4x + 43.
Explanation:The student's question pertains to the interpretation of a linear equation as it relates to a scatter plot of data on pizzas sold versus coupons issued.
The given equation is y = 3.4x + 43, which is a linear model describing this relationship.
In such a linear model, the coefficient of x (which is 3.4 in this case) represents the slope of the line and indicates the rate of change.
In other words, it tells us how many more pizzas are sold for each additional coupon issued.
Therefore, for each additional coupon issued, 3.4 more pizzas are sold according to this model.
Option B is the correct answer.