Answer:
[tex]m = -\frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]P_1 = (-1,3)[/tex]
[tex]P_2 = (5,-1)[/tex]
Required
Determine and interpret slope
Slope is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (-1,3)[/tex]
[tex](x_2,y_2) = (5,-1)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{-1 - 3}{5 - (-1)}[/tex]
[tex]m = \frac{-1 - 3}{5 +1}[/tex]
[tex]m = \frac{-4}{6}[/tex]
[tex]m = -\frac{2}{3}[/tex]
The above slope is negative and it implies that x increases when y decreases and vice versa.
Complete the equations to show the relationships between the numbers.
write you answers in the blanks.
1. 4 = blank × 10
2. 0.04 = blank × 10
3. 0.4 = blank × 10
4. 40 = blank × 10
Answer:
1)0.4, 2) 0.004, 3) 0.04, 4) 4
Erin has quarters and nickels for a total of 16 coins. The value of his coins is $2.60. Let represent the number of quarters and y represent the number of nickels
Note: Consider we need to find each type of coins he has.
Given:
Erin has quarters and nickels for a total of 16 coins.
The value of his coins is $2.60.
To find:
The number of each type of coins.
Solution:
Let x represent the number of quarters and y represent the number of nickels.
According to the question,
Total coins : [tex]x+y=16[/tex] ...(i)
Total value : [tex]0.25x+0.05y=2.60[/tex] ...(ii)
Multiply equation (i) by 0.25 and subtract the result from (ii).
[tex]0.25x+0.05y-0.25(x+y)=2.60-0.25(16)[/tex]
[tex]0.25x+0.05y-0.25x-0.25y=2.60-4[/tex]
[tex]-0.20y=-1.40[/tex]
Divide both sides by -0.20.
[tex]y=7[/tex]
Put y=7 in (i).
[tex]x+7=16[/tex]
[tex]x=16-7[/tex]
[tex]x=9[/tex]
Therefore, the number of quarters is 9 and number of nickels is 7.
The points A(15, 8) and B(10,7) are on a straight line. Which of the following is the slope of the line?
Answer:
The slope of this line is 0.2
Step-by-step explanation:
m = -1 / -5 = 0.2
Answer:
1/5
Step-by-step explanation:
(7 - 8) / (10 - 15) = - 1 / ( - 5) = 1/5
coordinate plane with trapezoids TRAP and T prime R prime A prime P prime and points W, X, Y, and Z with points located at T 1 comma 1, R 2 comma 3, A 4 comma 3, P 5 comma 1, T prime 2 comma one half, R prime 2 and one half comma one and one half, A prime 3 and one half comma one and one half, P prime 4 comma one half, W 2 and one half comma negative one and one half, X 0 comma 3, Y 5 comma negative 1, and Z 6 comma 1
Trapezoid TRAP was dilated by a scale factor of one half to create trapezoid T'R'A'P'.
Which point is the center of dilation?
W
X
Y
Z
Answer:
Answer: X
Step-by-step explanation:
Answer:
B. X
BTW Jimin is living mochi!
Step-by-step explanation:
Based on experience, the probability that an incoming email is spam (an undesired message of solicitation) is 38%. If three emails are in my inbox, what is the probability that:A. All three messages are spam.B. At least one of the three messages are spam.C. None of the three messages are spam.
Answer:
0.0549
0.7617
0.2383
Step-by-step explanation:
Given that:
Probability that incoming email is spam ;
P(spam) = 0.38
If three emails are in my inbox, what is the probability that:
A. All three messages are spam.
P(1st message being spam) * p(second message being spam) * p(3rd message being spam)
= (0.38) * (0.38) * (0.38)
= 0.054872
= 0.0549
B. At least one of the three messages are spam.
1 - p(none of the 3 messages are spam)
P(none of the 3 messages are spam)
P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62
1 - [P(not spam) * p(not spam) * p(not spam)]
1 - (0.62 * 0.62 * 0.62)
= 1 - 0.238328
= 0.761672
= 0.7617
C. None of the three messages are spam.
P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62
P(not spam) * p(not spam) * p(not spam)
(0.62 * 0.62 * 0.62)
= 0.238328
= 0.2383
Which statement proves that F(x) is an exponential function
A.All values of f(x) are odd
B.The functions of f(x) grows by equal differences over equal intervals
C.All values of f(x) are multiples of three
D.The functions of f(x) grows by equal factors over equal intervals
Answer:
Y=a*b^x
If xponent is a variable
Step-by-step explanation:
PLEASE HELP I WILL MARK BRAINLIEST
Find the area of a square with side length x when x is equal to the given value. Is the area of a square and the length of its side directly proportional? Justify your answer.
1. x=15 ft.
2. x=10 in.
3. x=3 in
Answer:
x = 3 in
Step-by-step explanation:
Since it's a square, to find the area, all you have to do is multiply one side of the square by another. Since this is a square, all the sides are equal. so 3x3 = 9. 9 sq. in.
How to use place value strategies to find the number of zero in the product
Answer:
Count them?
Step-by-step explanation:
If g(x) = 4x - 6, find g(5).
Please help please I need your help please
Answer:
6
Step-by-step explanation:
please answersee image bellow
Answer:
62.832 mi.²Step-by-step explanation:
surface area = 2πrh + 2πr²
where r = 2 miles radius
h = 3 miles
plugin values into the formula
surface area = 2πrh + 2πr²
= 2π (2) 3 + 2π (2)²
= 37.699 + 25.133
= 62.832 mi.²
Dillon read 1/5 of a book on Monday and 2/5 of the book on Tuesday. What fraction of the book did he read on Monday and Tuesday?
Answer:
Fraction of Book Dillon Read on Monday and Tuesday is [tex]\mathbf{\frac{3}{5} }[/tex]
Step-by-step explanation:
Dillon read book on Monday = [tex]\frac{1}{5}[/tex]
Dillon read book on Tuesday = [tex]\frac{2}{5}[/tex]
We need to find fraction of the book did he read on Monday and Tuesday
So, Fraction of Book Dillon Read on Monday and Tuesday= Book read on Monday + Book read on Tuesday
Fraction of Book Dillon Read on Monday and Tuesday= [tex]\frac{1}{5}+\frac{2}{5}[/tex]
[tex]=\frac{1+2}{5} \ (Taking \ LCM \ of \ 5 \ and \ 5 \ we \ get \ 5) \\=\frac{3}{5}[/tex]
So, Fraction of Book Dillon Read on Monday and Tuesday is [tex]\mathbf{\frac{3}{5} }[/tex]
Rosa climbs a 16-meter tower to ride a straight water slide. After landing in the slash pool, she walks 9 meters back to the base of the tower. What is the length of the slide
Answer:
The length of slide is 18.36 meters
Step-by-step explanation:
The given scenario forms a right-angled triangle where
The height of tower id perpendicular, the distance between slash pool and base of tower is base and the length of slide will be hypotenuse.
Height of tower = h = 16 meters
Distance between slash pool and base of tower = b = 9 meters
Length of slide = s = ?
As it is a right angled triangle, we can use Pythagoras theorem to find the length of slide
Pythagoras theorem states that:
[tex](Hypotenuse)^2 = (Base)^2+(Perpendicular)^2\\s^2 = b^2+h^2\\s^2 = (9)^2+(16)^2\\s^2 = 81+256\\s^2 = 337\\s^2 = 18.36\ meters[/tex]
Hence,
The length of slide is 18.36 meters
what number is 33 1/3% of 66
Answer: 22
22 should be the correct answer
A 2-quart carton of pineapple juice costs $6.48. What is the price per cup?
Please hurry
$0.81 per cup.
There are 4 cups in a quart, so there are 8 cups in total . $6.48 ÷ 8 = $0.81
Answer:
$0.81 per cup
Step-by-step explanation:
Which angles represent alternate interior angles? O angles A and C O angles B and D O angles C, D, and E O angles B and C
Explanation:
Erase the line from angle C to angle A. You'll be left with only one transversal. This transversal forms angles B and D, which are alternate interior angles. They are inside the parallel lines, so that's what makes them interior. They are also on alternating sides of the transversal line. Alternate interior angles are congruent when we have parallel lines like this.
Side note: Another pair of alternate interior angles would be angle A and angle E.
question 1 please !!!
Answer:
Yes
Step-by-step explanation:
Well, this is a powers of powers problem. So the rule is that we always add our exponents and it will equal the same thing.
So therefore x3*x3*x3=x9=x9
HELP ME PLEASEEEEEEEEEE
Answer:9/10 L
Step-by-step explanation:
GIVING BRAINLY. Nine hundred light bulbs are packaged and shipped to a retail store. Thirteen percent of the light bulbs arrive broken. Which equation can be used to find the number of light bulbs that were broken?
StartFraction 13 times 9 Over 100 times 9 EndFraction = StartFraction 117 Over 900 EndFraction
StartFraction 13 times 9 Over 900 times 9 EndFraction = StartFraction 117 Over 8100 EndFraction
StartFraction 100 divided by 9 Over 900 divided by 9 EndFraction = StartFraction 11.1 Over 100 EndFraction
StartFraction 900 divided by 9 Over 13 divided by 9 EndFraction = StartFraction 100 Over 1.4 EndFraction
Answer:
c
Step-by-step explanation: sorry I'm late but I got a 100
Answer:
900*0.13
Step-by-step explanation:
I'm not sure exactly what your answer choices are saying (I'm sorry ab that!), but I do know for a fact this will get you the correct answer!
If the reserve requirement is 20%, and total deposits are $1,500,000.00, how much must a bank maintain in
reserves?
a. What is the money multiplier?
b. How large is the money supply created from these deposits?
How many square feet of outdoor carpet will
we need for this hole?
?
ft?
3 ft
I ft
2 ft
4 ft
2 ft
12 ft
Answer:46
Step-by-step explanation:
The amount of outdoor carpet needed is 40 ft².
What is the Area of a Rectangle?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
Area of a rectangle = length × width.
The amount of square feet of outdoor carpet needed
= area of the largest rectangle in the image - (area of medium rectangle + area of the smallest rectangle)
The amount of square feet of outdoor carpet needed
= 12 × 4 - (3 × 2 + 2 × 1)
= 48 - (6 + 2)
= 40 ft²
Thus, 40 ft² outdoor carpet needed.
Learn more about area of a rectangle here:
brainly.com/question/25292087
#SPJ7
Use the variable, h, to write an expression representing the difference of three times a number and two.
Answer:
3h - 2
Step-by-step explanation:
......................
What does this equal? [1+(7-2)]2=
Answer: 12
Step-by-step explanation: caculator
The time (in number of days) until maturity of a certain variety of tomato plant is Normally distributed with mean μ. You select a simple random sample of four plants of this variety and measure the time until maturity. The four times, in days, are as follows: 63 69 62 66 with standard deviation 3.16.
Required:
Calculate the 99% confidence interval for population mean μ. Find the closest answer
Answer: 60.93 < μ < 69.07
Step-by-step explanation: The true mean of a set of data is between an interval of values with a percentage of precision, e.g., a 99% confidence interval means we are 99% confident the true mean is between the lower and upper limits.
To find the interval, use
x±[tex]z\frac{s}{\sqrt{n}}[/tex]
z is z-score related to the % of confidence level
In this case, a 99% confidence interval is 2.576
x is sample mean
Calculating:
[tex]x=\frac{63+69+62+66}{4}[/tex]
x = 65
65±[tex]2.576\frac{3.16}{\sqrt{4}}[/tex]
65±4.07
Confidence Interval: 60.93 < μ < 69.07
Meaning that we are 99% sure the population means is between 60.93 and 69.07.
Which best describes how to solve the equation for x.
x/c = d
A. Multiply both sides by d.
B. Multiply both sides by c.
C. Divide both sides by d.
D. Divide both sides by c.
Answer:
B. multiply both sides by c.
Step-by-step explanation:
To solve the equation for x, you have to isolate the x variable on one side of the equation. To do this, do the opposite of any operation applied to x to remove other variables from the x's side of the equation:
x/c = d
multiply both sides of the equation by c to isolate x:
(x/c) * c = d * c
x = dc
Now x can be solved for.
Hope this helps :)
Convert 4.27
4.27 to
improper fraction
Answer:
[tex]\frac{427}{100}[/tex]
Step-by-step explanation:
4.27 * 100 = 427
[tex]\frac{427}{100}[/tex]
Answer:
427/100
Explanation:
As a proper fraction it would be 4 and 27/100, so to make it improper you multiply 4 times 100 and add that to 27.
A cheese can be classified as either raw-milk or pasteurized. 82% of cheeses are classified as pasteurized.
a. Two cheeses are chosen at random. What is the probability that both cheeses are pasteurized?
b. Four cheeses are chosen at random. What is the probability that all four cheeses are pasteurized?
c. What is the probability that at least one of four randomly selected cheeses is raw-milk? Would it be unusual that at least one of four randomly selected cheeses is raw-milk?
Answer:
Step-by-step explanation:
A cheese is said to be classified as either raw-milk or pasteurized.
Given that: 82% is pasteurized,
Then:
Supposed two cheeses are chosen at random;
P(both cheeses are pasteurized) = 0.82 × 0.82
= 0.6724
If four cheeses are chosen at random;
P(that all four cheeses are pasteurized) = 0.82 × 0.82 × 0.82 × 0.82
P(that all four cheeses are pasteurized) = 0.452
The required probability for at least one of the four randomly selected cheeses is raw milk is:
P(at least one of the randomly selected cheese is raw milk) = 1 - P(that all four cheeses are pasteurized)
P(at least one of the randomly selected cheese is raw milk) = 1 - 0.452
P(at least one of the randomly selected cheese is raw milk) = 0.548
However, since the probability that at least one of the randomly selected cheese is raw milk is greater than one; then we can conclude that;
It is not unusual that at least one of four randomly selected cheeses is raw-milk.
Find x if f(x) = 2x + 7 and f(x) = -1.
a.5 b.-3 c.-4
Answer:
Answer c. -4
Step-by-step explanation:
Equations
Given:
f(x) = 2x + 7
We need to find the value of x such that:
f(x) = -1
Equating:
2x + 7 = -1
Subtracting 7:
2x = -1 - 7
Operating:
2x = -8
Dividing by 2:
x = -8 / 2 = -4
x = -4
Answer c. -4
I need help please...
Answer:
[tex]a_n=11-10\,n[/tex]
Step-by-step explanation:
Notice that in the sequence :
1, -9, -19, ... one term differs from the following by a constant number that is subtracted from the first one. There is what is called a "common difference" (d = -10)
the first term is "1", and we can apply the formula for the nth term of an arithmetic sequence for which we know the first term , and the common difference:
[tex]a_n=a_1+(n-1) * d\\a_n=1\,+\,(n-1)*(-10)\\a_n=1-10\,n+\,10\\a_n=11-10\,n[/tex]
The zoom feature on a camera lens allows you to dilate what appears on the display. When you change from 100% to 600%, the new image on your screen in an enlargement of the original image with a scale factor of 5. If the new image is 36 millimeters wide, what was the width of the original image?
A: 6 mm
B: 2mm
C: 12 mm
D:5 mm
Answer:6mm
Step-by-step explanation:
So we know that you started with 100% and ended with 600% to get from 100 to 600 you would need to multiply by 6
100 * 6 = 600
So you know that to get back to your original number you would need to divide by 6
If you are trying to figure out what the original width is you would divide your current number by 6 to get the original number
36 / 6 = 6