N (-5,2) Q (1,-5)
What is the length of QN
The length between the two points is 9.2 units.
Given points are:
Q(1,₋5)
P(₋5,2)
Let the two points be denoted as
Q(1,₋5) as (x₁,y₁)
P(₋5,2) as (x₂,y₂)
Distance between two points is calculated as:
d = √(x₂ ₋ x₁)² ₊ (y₂ ₋ y₁)²
d = √(₋5 ₋ 1)² ₊ (2 ₋ (₋5))²
d = √(₋6)² ₊ (7)²
d = √36 ₊ 49
d = √85
d = 9.2
Hence the length of QN is 9.2 units.
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HELP ME QUICK PLEASE!!
Manny took home a couple of his friends after soccer practice. He originally had 4 gallons of gas in his car. He used 1.05 gallons of gas to take one friend home and three tenths gallon to take the other friend home. How much gas did he have left in his car after taking both friends home?
A: 1.04 gallons
B: 2.95 gallons
C: 3.70 gallons
D: 2.65 gallons
D) 2.65 gallons of gas left in his car after taking both friends home when 1.05 gallons of gas is used to take one friend home and three tenths gallon to take the other friend home.
Manny used 1.05 + 0.3 = 1.35 gallons of gas to take his friends home.
Since he originally had 4 gallons of gas, he had 4 - 1.35 = 2.65 gallons of gas left in his car after taking both friends home.
So the answer is D.
Here is the solution in more detail:
Manny started with 4 gallons of gas.
He used 1.05 gallons of gas to take one friend home.
He used 0.3 gallons of gas to take the other friend home.
The total amount of gas he used was 1.05 + 0.3 = 1.35 gallons.
Therefore, he had 4 - 1.35 = 2.65 gallons of gas left in his car.
I hope this helps! Let me know if you have any other questions.
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I need help with this asap, I don’t know how to solve it
I just think this way if it is wrong sry but at least I try
The slope of a plot of the natural log of the vapor pressure of a substance versus 1/t is ________.
The slope of a plot of the natural log of the vapor pressure of a substance versus 1/t is - e.
What is slope?
slope, The inclination of a line with respect to the horizontal is measured numerically. The ratio of the vertical to the horizontal distance between any two points on a line, ray, or line segment is known as its slope in analytic geometry ("slope equals rise over run").[tex]l_{n} P = \frac{- Delta H_{vol} }{R} ( 1 T ) + C[/tex]
Yy = mx + c
[tex]m = \frac{- Delta H_{vol} }{R}[/tex]
m = slope
Ans = - e
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Cynthia receives a gift of r7, 500 she decides to invest it for 3years, she is offered two saving option:option a:8% interest p.a simple interest
The simple interest for R 7,500 is R 1, 800, and she will get it at 3 years with interest of 8%.
Simple interest:
Simple interest means the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
The formula used to calculate the simple interest is
SI = P × R × T
P = The principal is the amount that initially borrowed from the bank or invested.
R = Rate is the rate of interest at which the principal amount is given to someone for a certain time.
T= Time is the duration for which the principal amount is given to someone.
Given,
Cynthia receives a gift of r 7, 500 she decides to invest it for 3 years, she is offered two saving at 8% interest.
Here we need to find the simple interest.
We know that,
P = 7, 500
R = 8/100 = 0.08
T = 3
So, the simple interest is,
SI = 7,500 x 0.08 x 3
SI = 1800
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Show that the point (1,-1,2) is common to the lines which join (6,-7,0) to (16,-19,-4) and (0,3,-6) to (2,-5,10).
Answer:
The given point satisfies both equations of a line, hence is common to the two lines.
Step-by-step explanation:
Given two lines, one joining the points (6,-7,0) to (16,-19,-4), and the other joining the points (0,3,-6) to (2,-5,10), you want to show that the point (1, -1, 2) is common to those lines.
Equation of a lineThe equation of a line through points (x1, y1, z1) and (x2, y2, z2) can be written:
(x -x1)/(x2 -x1) = (y -y1)/(y2 -y1) = (z -z1)/(z2 -z1)
For the first pair of points, the equation of the line is ...
(x -6)/(16 -6) = (y +7)/(-19 +7) = (z -0)/(-4 -0)
(x -6)/10 = -(y +7)/12 = -z/4 . . . . . line 1
For the second pair of points, the equation of the line is ...
(x -0)/(2 -0) = (y -3)/(-5 -3) = (z +6)/(10 +6)
x/2 = -(y -3)/8 = (z +6)/16 . . . . . line 2
Point on the line?If the given point is on each of these lines, then it will satisfy each of the equations.
Line 1: (1 -6)/10 = -(-1 +7)/12 = -2/4 ⇒ -5/10 = -6/12 = -2/4 . . . true
The given point is on Line 1.
Line 2: (1)/2 = -(-1-3)/8 = (2+6)/16 ⇒ 1/2 = 4/8 = 8/16 . . . true
The given point is on Line 2.
The given point is common to both lines.
__
Alternate solution
For points A and B and parameter p, we can write the parameterized equation of each line as ...
(x, y, z) = A +p(B -A)
Using parameters t and s for the two lines, we get ...
Line 1: (x, y, z) = (6, -7, 0) +t(16 -6, -19 +7, -4 -0) = (6 +10t, -7 -12t, 0 -4t)
Line 2: (x, y, z) = (0, 3, -6) +s(2 -0, -5 -3, 10 +6) = (0 +2s, 3 -8s, -6 +16s)
A common point will be found where (x, y, z) for some value of t matches (x, y, z) for some value of s. We can find those values of s and t by solving simultaneous equations for any pair of the variables (x, y, z). The equations are ...
6 +10t = 2s-7 -12t = 3 -8s-4t = -6 +16sBy any of your favorite methods, these equations have the solution (t, s) = (-0.5, 0.5). The point the lines have in common is ...
(6 +10(-0.5), -7 -12(-0.5), 0 -4(-0.5)) = (6 -5, -7 +6, 2) = (1, -1, 2)
The common point to the two lines is (1, -1, 2).
2/14 in simplist form
Answer: 1/7 or 0.142857
Step-by-step explanation:
Answer:
1/7 :)
Step-by-step explanation:
I need this asap pleasee!
Answer:
The answers are below
Step-by-step explanation:
The greater sign is > and the less then symbol is <
Using the red arrows on the number line, you can tell which one is bigger or less. The dot is colored in so it has to have a line under it. So for the first one (top, left), The red arrow is pointing to the right side meaning x is bigger than 3. Therefore x ≥ 3.
In the next one (top, right) the arrow is pointing to the negative side so that one must be less than 3. The dot is also colored in meaning it is: x ≤ 3
In the next one (bottom, left) the arrow is pointing to the right, the dot not colored in, so it has no line. Therefore it is x > 3
Last one (bottom right) the arrow is pointing left, dot is white meaning that the answer is x < 3
If you're wondering what the open dots and closed dots mean:
An open dot is used to show that the ray's endpoint is not a component of the solution when the inequality is "strict" ( < or >).
A closed dot is used to denote that the endpoint is a component of the solution for the other types of inequalities (≥ and ≤ ).
The function f(x) = -x³-7x2²-7x+15 has zeros located at-5, -3, 1. Verify the zeros of f(x) and explain how you verified them. Describe the end behavior of the function.
Answer:
Step-by-step explanation:
[tex]f(x)=-x^3-7x^2-7x+15\\Prove:\ x_1=-5\ \ \ \ x_2=-3\ \ \ \ x_3=1\ at\ f(x)=0\\\\-x^3-7x^2-7x+15=0[/tex]
Multiply both parts of the equation by -1:
[tex]x^3+7x^2+7x-15=0\\x^3+5x^2+2x^2+7x-15=0\\x^2*(x+5)+(2x^2+7x-15)=0\\x^2*(x+5)+(2x^2+10x-3x-15)=0\\x^2*(x+5)+(2x*(x+5)-3*(x+5))=0\\x^2*(x+5)+(x+5)*(2x-3)=0\\(x+5)*(x^2+2x-3)=0\\x+5=0\\x=-5\\x^2+2x-3=0\\x^2+3x-x-3=0\\x*(x+3)-(x+3)=0\\(x+3)*(x-1)=0\\x+3=0\\x=-3\\x-1=0\\x=1[/tex]
What is the answer to 1/4 times 2/3 times 4/3 equal?
Answer:
2/9
Step-by-step explanation:
To multiply fractions you just multiply the numerators with the numerators and the denominators with the denominators
1/4 * 2/3 = 2/12 which simplifies to 1/6
1/6 * 4/3 = 4/18 which simplifies to 2/9
:D
Miguel is asked to solve the problem below and wants to convert the values to the same form. Which form would you encourage Miguel to choose?
Group of answer choices
Since 5/6 is a terminating decimal, Miguel should convert 5/6 to a decimal and multiply the decimals.
Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions.
Since 5/6 is a repeating decimal, Miguel should convert the fraction 5/6 to a decimal and multiply decimals.
Please Help Me!
The correcting answer is - Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions.
What is a fraction?Fractions represent the parts of a whole or collection of objects.
A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.
Now the given mixed fraction is,
-0.6(5/6)
Now since 5/6 is a repeating decimal,
Therefore converting 0.6 into fraction, we get
0.6 = 6/10
Therefore, -0.6(5/6) = -(6/10)*(5/6)
Rearranging we get,
-0.6(5/6) = -(6/6)*(5/10)
⇒ -0.6(5/6) = -1*(5/10)
or, -0.6(5/6) = -(5/10)
simplifying 5/10 we get,
-0.6(5/6) = -(1/2)
Thus, the correcting answer is - Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions.
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lauren and three of her friends are going to magic springs. the total trip: gas, tickets, and food cost $125.76. how much will each person pay for their fun trip
Answer:
$31.44
Step-by-step explanation:
$125.76 ÷ 4 = $31.44
Lauren $31.44
Friend 1 $31.44
Friend 2 $31.44
Friend 3 $31.44
+ ________
$125.76
Solve for X. Show work
The value of x in the figure is 5
How to solve for x?From the figure, we have the following parameters are:
NM = 9
ML = 2x - 7
NL = x + 7
This means that
NL = NM + ML
So, we have:
x + 7 = 9 + 2x - 7
Collect the like terns
x - 2x = 9 - 7 - 7
Evaluate
-x = -5
This gives
x = 5
Hence, the value of x in the figure is 5
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s = gh−5gc ^3 solve for g.
What's a verbal expression
Does (9, 7) make the equation y = x + 2 true?
Answer:
no
Step-by-step explanation:
y = 9 + 2 is 11 not 7
rewrite (156 + 243) using factoring
Answer:
399
Step-by-step explanation:
Factor the polynomial, and that will give you 399.
Using factor (156 + 243), can be rewritten as 3.(52+81).
What is factor?Factor is a number that devides any other number and does not leave any remainder.
The given term is,
(156 + 243)
The factor of 156 = 2×2×3×13
The factor of 243 = 3×3×3×3×3
The common factor is 3,
So (156 + 243) can be rewritten as,
3(2×2×13+3×3×3×3)= 3.(52+81).
So, the required term is 3.(52+81).
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what is the monthly payment for a 12,300 4 year loan with an APR of 5%
Answer:
10,877
Step-by-step explanation:
You put $1,000 into a savings account that pays 7% in annual interest. how much money will you have after 7 years if the account pays only simple interest?
The total amount in the bank account after 7 years will be $1490
Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. The principal amount in simple interest is constant.
The formula for simple interest = (P*R*T)/100
where P = principal amount
R = rate of interest
T = time in years
As per the question,
P = 1000
R = 7%
T = 7 Years
Simple interest will be = (1000*7*7)/100 = $490
The amount of money in the savings account at the end of 7 years will be $1000 + $490 = $1490
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Question 1 (10 points)
Berry Ice charges $6.25 a cup and $0.60 for each topping (x) you add. Layla wants a cup with 3 toppings.
Which expression best represents the situation, and how much will the cup cost Layla?
Answer: Total cost for her would be $8.05
Step-by-step explanation:
Given:
Berry Ice charges $6.25 a cup
$0.60 for each topping (x) you add
since she wants a cup with 3 toppings.
then
total cost = 6.25 (cost of 1 cup) + 0.60*3 ($0.60 for each topping then for 3 topping 3*cost of 1 topping)
=$8.05
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If
Δ
C
A
T
≅
Δ
D
O
G
, which statement must be true?
Answer:
Answer: mark me brainlest
Step-by-step explanation:
Answer is A.
Kent has a collection of pennies and nickels with a value of $1.98. thenumber of pennies he has is five less than twice of nicleks. how many of each coin does kent have?
No. of pennies and nickels are 53 and 29 respectively
Let the number of pennies be x
Let the number of nickels be y
Value of pennies = $0.01x
Value of nickels = $0.05y
It is given that value of pennies and nickels = $1.98
Therefore the equation will be,
0.01x + 0.05y = 1.98
x + 5y = 198------(1)
Also, the number of pennies is five less than twice of nickels
x = 2y - 5
2y - x = 5 -------(2)
Adding equations (1) and (2) we get,
(x + 5y) + (2y - x) = 203
7y = 203
y = 29
Substituting the value of y in equation (1) we get,
x = 53
Therefore, the no. of pennies is 53 and the no. of nickels is 29
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tommy do this instead then
Answer: (2) 1010025
Step-by-step explanation:
Let's find the sum of 1+3+5+7+...+2007+2009
Let's use the formulas for an arithmetic progression:
[tex]a_1=1\ \ \ a+2=3\\d=a_2-a_1\\d=3-1\\d=2[/tex]
[tex]a_1 =1\ \ \ \ a_n=2009\\a_n=a_1+(n-1)d\\\Rightarrow\ 2009=1+(n-1)2\\\Rightarrow \ 2009=1+2n-2\\\Rightarrow\ 2009=-1+2n\\\Rightarrow\ 2010=2n\\[/tex]
Divide both parts of the equation by 2:
[tex]1005=n[/tex]
Hence,
[tex]\displaystyle\\S=\frac{a_1+a_n}{2} n\\\\S=\frac{1+2009}{2}1005\\\\S=\frac{2010}{2} 1005\\\\S=1005*1005\\\\S=1010025[/tex]
5x + 3y = 26
6x+ 7y=21
Answer:
x = -1
Step-by-step explanation:
5x + 3y = 26
- (6x + 7y = 21)
_________
-x - 4x = 5
-5x = 5
x = -1
Determine whether or not the function is one-to-one, and if it is, determine its inverse function
Determine the conditions for when a function has an inverse. Use the horizontal line test to recognize when a function is one-to-one. Find the inverse of a given function.
What is a horizontal line test?It is simple to establish whether the inverse of a function is also a function using the horizontal line test.
Because it fails the vertical line test, a function's inverse might not actually be a function.
Graph of the line
f\left( x \right) = - x + 2
f(x)=−x+2.
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please help!
there’s a picture, to see the question
Answer:
it's x+3
Step-by-step explanation:
it seems to go up by one so if you go down by you the input of 1 would be the output of 4 also known as (1,4)
and go again down by 1 and get (0,3)
so we know we have to add 3 each time so it is x+3
1. Determine whether each relation is a function.
((3, 2), (1,2), (4,3), (6, -2)}
domain = { 3,1,4,6} and range = { 2, 2 , 3 ,-2} are each relation is a function.
Describe domain.
The term "domain," which is specific to the internet, can apply to both the structure of the internet and the organization of a company's network resources. A domain is typically a sphere of knowledge or a governing region.Describe Range?
Range is the difference between the largest and lowest values in a dataset in statistics and mathematics. One indicator of data dispersion is the range.
function = ((3, 2), (1,2), (4,3), (6, -2)}
domain = { 3,1,4,6}
range = { 2, 2 , 3 ,-2}
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In which quadrant does the point (13, 18) lie?
A. Quadrant III
B . Quadrant IV
C. Quadrant I
D. Quadrant II
Answer:
quadrant I
Step-by-step explanation:
because both numbers are positive and quadrant I is the only one that has positive numbers on the y and x axis.
Answer:
C. Quadrant 1
Step-by-step explanation:
if both X and Y are positive, then the point lies in the Quadrant I.
Select all pairs of numbers that have a least common multiple of 30.
Answer:
5 and 6, 3 and 10
Step-by-step explanation:
that's all I can think of
Greg burned 200 calories exercising, and then he drank a 200-calorie protein shake. which expression uses an additive inverse and represents his net calorie intake?
The expression that uses an additive inverse and represents his net calorie intake 200 + (- 200) = 0.
What is additive inverse?In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite (number), sign change, and negation.
Now it is given that,
Calories burned by Greg = -200
Calorie taken from protien shake = + 200
Thus, Net calorie intake = Calorie taken + Calories burned
⇒ Net calorie intake = 200 + (-200) = 0
Thus, the expression that uses an additive inverse and represents his net calorie intake 200 + (- 200) = 0.
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