Kevin just put 20.26 gallons of fuel into his car. There were 3.9 gallons in the car to begin with. How much fuel is in Kevin's car now?
HELPP
Answer:
24.16
Step-by-step explanation:
one part of one hundred equal parts; 0.01.
Answer:
0.01, 1%, or 1/100
Step-by-step explanation:
These are all the same.
I need help !!! Only 1 ATTEMPT please
Polynomials and Factoring Unit Test part 2
f (x) = 9x^3 + 2x^2 – 5x + 4 and g(x) = 5x^3 - 7x + 4. what is f (x) – g(x)? Show all of your steps and write your final answer in factored form. Math symbols.
PLEASE HELP ME
Answer:
4x^3+2x^2+2x
Step-by-step explanation:
The difference of the two polynomials, is: f(x) - g(x) = 4x³ + 2x² + 2x
How to Subtract Polynomials?To subtract one polynomial from another, take like terms together.
Given the polynomials:
f(x) = 9x³ + 2x² - 5x + 4 and g(x) = 5x³ - 7x + 4
Find f(x) - g(x):
(9x³ + 2x² - 5x + 4 ) - (5x³ - 7x + 4)
Open the bracket
9x³ + 2x² - 5x + 4 - 5x³ + 7x - 4
Combine like terms together
4x³ + 2x² + 2x
Therefore, the subtraction of the two polynomials, is: f(x) - g(x) = 4x³ + 2x² + 2x
Learn more about polynomials on:
https://brainly.com/question/2833285
Complete the table of values for x + y =6
Answer:
-2 -1 0 1 2 3
8 7 6 5 4 3
Step-by-step explanation:
WILL GIVE BRAINLIEST
The volume of a rectangular prism can be found by multiplying the three side lengths. A bookcase in the shape of a rectangular prism has dimensions (b+8) ft, b ft, and (b+3) ft. Find the volume of the bookcase
Answer:
(b³+11b²+24)ft³
Step-by-step explanation:
Volume of the rectangular prism = Length * Width * Height
Given the dimension
Length = b+8 ft
Width = b ft
Height = (b+3)ft
Volume of the rectangular prism = b(b+8)(b+3)
Volume of the rectangular prism = b(b^2+3b+8b+24)
Volume of the rectangular prism = b(b^2+11b+24)
Volume of the rectangular prism = b(b^2)+b(11b)+1(24)
Volume of the rectangular prism = b^3+11b^2+24
Hence the Volume of the rectangular prism is (b³+11b²+24)ft³
The square root of 150 lies between which two consecutive integers?
O 10 and 11
O 11 and 12
O 12 and 13
O 149 and 151
Answer:
12^2 = 144 and 13^2 = 169
So, the answer is 12 and 13
Step-by-step explanation:
i need help w this plss
Answer:
Line a and Line b are parallel. The slopes are equal
Line b is perpendicular to line c. The slopes are different
Step-by-step explanation:
The standard form of an equation is y =- mx+C
m is the slope
Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1
For Line a: 4x-3y = 2
Rewrite
-3y = -4x+2
y = 4/3 x - 2/3
Slope of line a is 4/3
Line b: y = 4/3x + 2
mx = 4/3x
m = 4/3
slope of line b is 4/3
Line c = 4y+3x = 4
4y = -3x + 4
y = -3/4 x + 1
Slope of line c is -4/3
Since line a and b have the same slope, they arer parallel
mb * mc = 4/3 * -3/4
mb*mc = -1
Since the product of slope of line b and c is -1, they are perpendiclar
-3.5(x+9). URGENT : SHOW ALL STEPS PLEASE
Answer:
-3.5x - 31.5
Step-by-step explanation:
-3.5(x+9)
= -3.5x + -3.5(9)
= -3.5x - 31.5
The line l is tangent to the circle with equation x² + y2 = 169 at the point P.
By thinking about the radius or otherwise, determine the gradient of the line l.
Given:
The equation of a circle is
[tex]x^2+y^2=169[/tex]
A tangent line l to the circle touches the circle at point P(12,5).
To find:
The gradient of the line l.
Solution:
Slope formula: If a line passes through two points, then the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is
[tex]m_1=\dfrac{5-0}{12-0}[/tex]
[tex]m_1=\dfrac{5}{12}[/tex]
We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.
Product of slopes of two perpendicular lines is always -1.
Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.
[tex]m\times m_1=-1[/tex]
[tex]m\times \dfrac{5}{12}=-1[/tex]
[tex]m=-\dfrac{12}{5}[/tex]
Therefore, the gradient or slope of the tangent line l is [tex]-\dfrac{12}{5}[/tex] .
Farhan cycles the first part of a 150km journey at an average speed of 35km/h and walks the remaining distance at an average speed of 5km/h. If he takes 4.5 hours for his entire journey, find the distance that he cycles.
Answer:
man ion know
Step-by-step explanation:
the ratio of dogs to cats at the local shelter is 2 to 5.there are 20 dogs at the shelter.what is the total number of dogs and cats at the shelter?
20:50 or if you have to add it 70
its a angle question.
PLS HELP
Please due today are 11:59
A student need to fill a tank with 9 liters of water. How many 1/3 liters will it take to fill the tank?
Answer:
Number of [tex]\frac{1}{3}[/tex] liters required to fill the tank = 27
Step-by-step explanation:
Amount of water needed to fill the tank = 9 liters
Measure of water to fill a vessel = [tex]\frac{1}{3}[/tex] liters
Number of [tex]\frac{1}{3}[/tex] liters vessels required to fill the tank = [tex]\frac{9}{\frac{1}{3}}[/tex]
= 9 × [tex]\frac{3}{1}[/tex]
= 27
Therefore, number of [tex]\frac{1}{3}[/tex] liters required to fill the tank = 27
$6.00 times 200 per day times 65.00 per day for saftey
HELPP
The coast guard is out to sea and gets notification that two ships need help. One ship is directly west of the coast guard, and the other is directly south, as shown in the image below. The two ships are 6 miles from each other. Which ship is currently closer to the coast guard?
Answer:
Ship one is closer to the coast guard
Graph the system of equations, and determine the
solution.
X + 5y = 10
2x + 10y = 50
Use the graphing tool to graph the system,
Answer:
First one is 2. The second one is 5.
Step-by-step explanation:
Help! Will mark brainliest to whoever puts the answer first!
Answer:
1 and 6 (alternate exterior angle)
2 and 5(corresponding angle)
4 and 5(co interior angle)
3 and 5(alternate interior angle)
Select the quadrant in which the terminal side of the angle falls.
210° terminates in quadrant
390° terminates in quadrant
Answer:
The answer is below
Step-by-step explanation:
Select the quadrant in which the terminal side of the angle falls.
210° terminates in quadrant
-150° terminates in quadrant
390° terminates in quadrant
Solution:
The x and y axis divides the cartesian plane into four equal parts known as the four quadrants.
Angles between 0° and 90° are in the first quadrant, angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant while angles between 270° and 360° are in the fourth quadrant.
a) Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.
b) -150° = 360 - 150 = 210°. Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.
c) 390° = 390° - 360° = 30°.
Since 30 degrees is between 0° and 90°, hence it terminates in the first quadrant.
Answer:
a. quadrant III
b. quadrant III
c. quadrant I
Step-by-step explanation:
correct on edge 2022
Help plsssssssssssss
Answer:
CStep-by-step explanation:
use the number then do ÷
Please answer and show all work
Answer:
брате, заткнись, блядь, знай, хтось дбає про твої дивні тли
Step-by-step explanation:
additive inverse of -4/7
Answer:
1/7
Step-by-step explanation:
1/8 + 3/4 in its simplist form
Rewrite 3/4 to have the same denominator as 1/8.
3/4 = 6/8
Now you have 1/8 + 6/8 = 7/8
The answer is 7/8
HELP ILL GIVE BRAINLIEST
In a class of 40 students, 75% of the students
turned in their assignments. How many
students did NOT turn in their assignments?
Answer:
10 students didnt turn in work
Step-by-step explanation:
10. its like saying 100 divided by 25
What is / are the coefficients in this expressions? 3a+7-8n
Answer:
3 and 8
Step-by-step explanation:
3 and 8 are the only numbers that have a variable, or the letter beside it
How do I know where to put numbers on a graph
Answer:
X axis is on the left of the Coordinates (x,y) and Y axis is on te right
X goes sideways
Y goes Vertical
Step-by-step explanation:
Select the correct answer.
620
530
х
What is the value of x in this triangle?
Answer:
65
Step-by-step explanation:
NUMBER 28 please:
Scientists studied the population of a species of bat in some caves in Missouri from 1983 to 2003. In 1983 there were 141,200 bats living in the caves. That number decreased by about 11% annually until 2003.
A. Identify the initial amount, the decay factor, and the decay rate
B. Write a function that models and number of that since 1983 then find the number of bats in 2003
Answer:
a)
The initial amount is 141,200.
The decay factor is 0.89, and the decay rate is of 0.11 = 11%.
b)
The function is [tex]y(t) = 141200(0.89)^t[/tex]
The number of bats in 2003 was of 13,729.
Step-by-step explanation:
Exponential decay function:
An exponential decay function has the following format:
[tex]y(t) = y(0)(1-r)^t[/tex]
In which y(0) is the initial value, 1 - r is the decay factor and r is the decay rate, as a decimal.
A. Identify the initial amount, the decay factor, and the decay rate
In 1983 there were 141,200 bats living in the caves, which means that the initial amount is 141,200.
That number decreased by about 11% annually until 2003 means that the decay factor is 1 - 0.11 = 0.89 and the decay rate is 0.11 = 11%.
B. Write a function that models and number of that since 1983 then find the number of bats in 2003
With the data found in question A, we have that:
[tex]y(t) = y(0)(1-r)^t[/tex]
[tex]y(t) = 141200(1-0.11)^t[/tex]
[tex]y(t) = 141200(0.89)^t[/tex]
The function is [tex]y(t) = 141200(0.89)^t[/tex]
Number in 2003
2003 is 2003 - 1983 = 20 years after 1983, so this is y(20).
[tex]y(20) = 141200(0.89)^{20} = 13729[/tex]
The number of bats in 2003 was of 13,729.