Answer:
-18
Step-by-step explanation:
because you take 40 + -58 and you can make the positive and negative sign a negative so now it would be 40-58
if you reverse it to make it 58-40 you would get 18 and then reverse it back to negative because you reversed it once so now its -18
Multiple Choice
1. Which of the following is the correct form of the distance formula? (1 point)
d=(33 – x;) +(12 – Y;)
mm 2 m ( 20 COO
a = √(x - 2)² + (x2 - y2)
= V(x2 – xz)-(-y)
a = √(x2-x;)²-(32-33)
d =
2. Use the distance formula to find the distance between the points (-3.8) and (-4. -
the nearest hundredth, if necessary.
Answer:
1. The formula used to the find distance formula is: [tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
2. The distance between the points (-3,8) and (-4, -2) is 10.04
Step-by-step explanation:
1. Which of the following is the correct form of the distance formula?
The formula used to the find distance formula is: [tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
2. Use the distance formula to find the distance between the points (-3.8) and (-4. -?)
Note: Since the y-term in (-4,-) is missing So, I am using -2 to solve the question and find distance. You can use the term given in question and replace it with -2 and use this solution as reference to solve and find the correct answer.
We have points (-3,8) and (-4,-2)
Putting values in distance formula and finding result:
[tex]Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have x_1=-3, y_1=8, x_2=-4, y_2=-2
[tex]Distance=\sqrt{(-2-(-3))^2+(-2-8)^2}\\Distance=\sqrt{(-2+3)^2+(-2-8)^2}\\Distance=\sqrt{(1)^2+(-10)^2}\\Distance=\sqrt{1+100}\\Distance=\sqrt{101}\\Distance=10.04[/tex]
So, the distance between the points (-3,8) and (-4, -2) is 10.04
☆15 POINTS AND MARKED BRAINLIEST IF CORRECT☆
look at the image above to view the question!
Answer:
3125 bacteria.
Step-by-step explanation:
We can write an exponential function to represent the situation.
We know that the current population is 100,000.
The population doubles each day.
The standard exponential function is given by:
[tex]P(t)=a(r)^t[/tex]
Since our current population is 100,000, a = 100000.
Since our rate is doubling, r = 2.
So:
[tex]P(t)=100000(2)^t[/tex]
We want to find the population five days ago.
So, we can say that t = -5. The negative represent the number of days that has passed.
Therefore:
[tex]\displaystyle P(-5)=100000(2)^{-5} = 100000 \Big( \frac{1}{32}\Big) = 3125 \text{ bacteria}[/tex]
However, we dealing within this context, we really can't have negative days. Although it works in this case, it can cause some confusion. So, let's write a function based on the original population.
We know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, our function is:
[tex]P(t)=A(2)^t[/tex]
After 5 days, we reach the 100,000 population. So, when t = 5, P(t) = 100000:
[tex]100000=A(2)^5[/tex]
And solving for A, we acquire:
[tex]\displaystyle A=\frac{100000}{2^5}=3125[/tex]
So, our function in terms of the original day is:
[tex]P (t) = 3125 (2)^t[/tex]
So, it becomes apparent that the initial population (or the population 5 days ago) is 3125 bacteria.
Answer:
We can express the question in a exponential function
The current population is 100,000.
The population doubles each day.
The exponential function is given by: P(t)=a(r)^t
The current population is 100,000, a = 100000.
The rate is doubling, r = 2.
P(t)=100000(2)^t
As we know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, the function is:
P(t)=A(2)^t
After 5 days, the population reaches 100,000. So, when t = 5, P(t) = 100000:
100000=A(2)⁵
Now solving for A, we get
A=(100000)/(2⁵)=3125
So, the function in terms of the original day is:
P (t) = 3125 (2)^t
Hence, the initial population is 3125 bacteria.
3125 is the right answer.Lin and Elena have discovered they have so much in common. They each have a fish tank holding 20 units of water. Whose tank holds 20 gallons, and whose holds 20 cups?
Answer: a. Lin's tank hold 20 cups and Elena's tank hold 20 gallons; I know this because gallons are greater than cups.
Step-by-step explanation:
Gallons are greater than cups so the fish tank that will hold 20 gallons would have to be the bigger one which in this case is Elena's.
With cups being lesser in quantity than gallons, the fish tank that will hold 20 cups of water will definitely have to be the smaller one which in the case is Lina's.
please help me please
Answer:
change/original price X 100
22/88 X 100 = 25%
Locate and label (4,5) and (4, -3), Draw the line segment between
the end points given on the coordinate plane. How long is the line
segment that you drew? Explain.
Given:
The two endpoints are (4,5) and (4,-3).
To find:
The line segment between the given endpoints and the length of the line segment.
Solution:
Plot the given point and connect them by and straight line segment as shown in the below graph.
The distance between (4,5) and (4,-3) is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(4-4)^2+(-3-5)^2}[/tex]
[tex]d=\sqrt{(0)^2+(-8)^2}[/tex]
[tex]d=\sqrt{0+64}[/tex]
[tex]d=\sqrt{64}[/tex]
[tex]d=8[/tex]
Therefore, the length of the line segment is 8 units.
Which set of ordered pairs represents a function?
( Please help me with this as soon as possible )
Answer:
B
Step-by-step explanation:
i did the same test
The point (4, 10) is in each scatterplot. In which one is it an outlier? On a graph, points (4, 10) and (6, 1) are outside of the cluster. On a graph, points are scattered. On a graph, point (2, 1) is outside of the cluster. On a graph, all points are within the cluster.
Answer:
A) On a graph, points (4, 10) and (6, 1) are outside of the cluster.
Answer:
A) The first option
Step-by-step explanation:
What number is missing from the table of equivalent ratios?
A. 2
B. 5
C. 7
D. 13
Answer:
Step-by-step explanation:
The answer would be 5 because 14/7=2 and 6/3=2 and 10/ 2 =5 so 5
Mrs. Carter needs 1/2 meter of cloth to make a pillowcase. How many pillowcases can she make with 5 meters of cloth?
PLEASE HELP DUE IN 30 MINS!!!
Answer:
There ya go
Step-by-step explanation:
Answer:
15/2
Step-by-step explanation:
goodluck on the rest! (:
Solve the equation 0.3 3=n
n=_____
when f(n) =12, what is rhe value of n
Answer:
When f(n) = 12, what is the value of n? Answer: n=5
Step-by-step explanation:
Solve for x.
-2.3 (x - 1.2) = -9.66
Enter your answer, as a decimal, in the box.
x = _______
Answer:0.03
Step-by-step explanation:
what is the answer to 5--4
Answer:
9
Step-by-step explanation:
if you have two negatives next to eachother, the equation now adds like 5+4. 5+4=9
HELP PLEASE I WILL MARK BRAINLIEST IF RIGHT ANSWER!!
Answer:
Its XYW is half of LXYZ
Step-by-step explanation:
.
Answer:
this is the required solution
The coordinates of three vertices of a square A (-2 1/2 , 1 1/2), B (-2 1/2 -3), and C (2,1 1/2 when point D is placed on this square what will the perimeter of the square be?
Answer:
The perimeter of square will be 18 units
Step-by-step explanation:
We are given that the coordinates of three vertices of a square A (-2 1/2 , 1 1/2), B (-2 1/2 -3), and C (2,1 1/2 )
When point D is placed on this perimeter.
We have to find the perimeter of the square.
First we have to find the side of square by using the distance formula
Distance formula
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Coordinates of A=(-5/2,3/2)
Coordinates of B=(-5/2,-3)
Length of side AB=[tex]\sqrt{(-5/2+5/2)^2+(-3-3/2)^2}[/tex]
Length of side AB=[tex]\sqrt{0+(-9/2)^2}[/tex]
Length of side AB=9/2 units
Now, the perimeter of square=4 (side)
Using the formula
Perimeter of square=4(9/2)=18 units
-5 = -3(x + 11) HELPP
Answer: x=9 1/3
Step-by-step explanation:
-5=-3x-33
-5+33=-3x
28=-3x
3x=-28
x=28/3
x=9 1/3
Answer: X=-28/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−5=−3(x+11)
−5=(−3)(x)+(−3)(11)(Distribute)
−5=−3x+−33
−5=−3x−33
Step 2: Flip the equation.
−3x−33=−5
Step 3: Add 33 to both sides.
−3x−33+33=−5+33
−3x=28
Step 4: Divide both sides by -3.
-3x/-3= 28/-3
X=-28/3
have a nice day :)
Given f(x) = –x– 5, solve for a when f(x) = -3.
Answer:
-2
Step-by-step explanation:
f(x) = –x– 5
f(x) = -(-3)– 5
f(x) = 3– 5
f(x) = -2
Answer:
Answer is -2 because - * - = + 3-5=-2
The seventh grade band has 15 drummers and 12 trumpet players. The eighth grade band band has 10 drummers and 8 trumpet players. Do the ratios form a proportion
4. Chrissy had 4 gallons of gas in her tank when she arrived at the
gas station. She pumped gas into her car at a rate of 0.3 gallon per
second. How many gallons of gas were in the tank after s seconds?
y = -x +2
7x + 4y = -1
What is the value of y for the solution to this system of equations?
Answer:
Hi! The correct answer is y = 5
Step-by-step explanation:
~Solve for the first variable in one of the equations, then substitute the result into the other equation~
Which is fraction is less 1/5 4/5?
Answer:
1/5
Step-by-step explanation:
Look at it this way; 1/5th of a pizza. Five parts of a pizza, you only have one. But 4/5? You have four slices of the pizza! Much more! Yum.
Answer:
1/5<4/5
Step-by-step explanation:
Hi. I need help with this question (see image). Please show workings.
Answer:
[tex]\frac{dy}{dx}[/tex] = 8(2x + 3)³
Step-by-step explanation:
Differentiate using the chain rule
Given
y = f(g(x)) , then
[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)
Here
f(x) = [tex](2x+3)^{4}[/tex] ⇒ f'(x) = 4(2x + 3)³
g(x) = 2x + 3 ⇒ g'(x) = 2
Thus
[tex]\frac{dy}{dx}[/tex] = 4(2x + 3)³ × 2
= 8(2x + 3)³
Identify the slope in the equation y=-7/3x +5 5 -5 7/3 -7/3
Answer:
-7/3
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = -7/3x + 5
Step 2: Break Function
Identify Parts
Slope m = -7/3
y-intercept b = 5
the formula for the sum of the degree measures of the interior angles of a polygon is S=180(n-2) Solve for ,n, the number of sides of the polygon, in terms of S
NEED STEP BY STEP EXPLANATION
Answer:
n = (S + 360)/180Step-by-step explanation:
Given formula:
S = 180(n - 2)Solving for n:
S = 180(n - 2) ⇒ open parenthesisS = 180n - 360 ⇒ isolate n180n = S + 360 ⇒ divide both sides by 180n = (S + 360)/180[tex]S = 180(n - 2) \\ S = 180n - 360 \\ 180n =( S + 360) \\ n = \frac{(S+ 360)}{180} [/tex]
where, n =number of sides of polygon
S =sum of the degree measures of the interior angles of the polygon
Tara plans to rent a car for the weekend. The cost is $45 plus $0.15 for each mile she drives. Write an equation that represents this situation and describe the variables.
Answer:
y = 45 + 0.15x
Step-by-step explanation:
$45 is the initial cost
0.15 is the cost for each mile
we dont know the miles so miles is x, unknown
Please help me with the questions please
Answer:
50,373 feet
Step-by-step explanation:
tan 15° = 13500 / x
.268 = 13500 / x
x = 50,373
#5) What is the slope of the line that passes through the points (6, -8) and (4,10)?
A)1/3
B)-1/9
C) - 9
D) -1
In AEFG, EF = 44 centimeters and FG = 12 centimeters. Which of the following best describes the possible length, in centimeters, of
AO 44
B. O 32
CO 12
D. 32 < EG < 44
Answer:
The best inequality describes the possible length of EG is 32 < EG < 56 ⇒ B
Step-by-step explanation:
In any triangle
The sum of the lengths of any two sides must be greater than the length of the third sideThe length of any side is greater than the difference between the lengths of the other two sidesIn Δ EFG
∵ EF = 44 cm
∵ FG = 12 cm
→ Find their sum and difference
∴ The sum of their length = 44 + 12 = 56 cm
∴ The difference between their length = 44 - 12 = 32 cm
→ By using the rule above
∵ EG is the third side
∴ EG < 56
∴ EG > 32
→ Write them in one inequality
∴ 32 < EG < 56
∴ The best inequality describes the possible length of EG is 32 < EG < 56
Pls help and SHOW WORKINGS it due asap.
Answer:
C
Step-by-step explanation:
The x coordinate of the rest stop:
1/2 × (the sum of the x coordinates of the highschool and the stadium)
= 1/2 × (3+7)
= 1/2 × 10
= 5
The y coordinate of the rest stop:
- Same thing i did for the x coordinate, but use the y coordinates.
1/2 × (the sum of the y coordinates of the highschool and the stadium)
= 1/2 × (4 + 1)
= 1/2 × 5
=5/2
So the coordinate of the rest stop would be (5, 5/2).
Next for the distance, i used the pythagoras theory so it's like this:
a^2 + b^2 = c^2
Here you plot the highschool and the stadium on the coodinate plane, then connect the two dots to make a right triangle. The height of the triangle will be 3, and the base would be 4. So a=3, b=4 in the equation.
3^2 + 4^2 = c^2
9 + 16 + c^2
25 + c^2
c = 5
(Note that this isn't the real answer cuz at the end of the question it said that one UNIT equals 6.4 MILES.)
So the final answer is 5 × 6.4, which is 32. The answer is C.