Answer:
Remainder = –24
Step-by-step explanation:
x³ + x² – 20 divide by x + 2
We can obtain the remainder when
x³ + x² – 20 is divided by x + 2 using the remainder theorem as follow:
We'll begin by calculating the value of x from x + 2. This is illustrated below:
x + 2 = 0
Collect like terms
x = 0 – 2
x = –2
Finally, we shall determine the remainder by substituting –2 for x in
x³ + x² – 20. This is illustrated below:
x³ + x² – 20
x = –2
Remainder = (–2)³ + (–2)² – 20
Remainder = –8 + 4 – 20
Remainder = –24
Therefore, the ramainder when
x³ + x² – 20 is divided by x + 2 is –24
please can someone help me with this
9514 1404 393
Answer:
1583.4 ft³
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h
The radius is half the diameter, so is (12 ft)/2 = 6 ft. Then the volume is ...
V = π(6 ft)²(14 ft) ≈ 1583.4 ft³
_____
Additional comment
The number shown in the problem statement answer box is the number you would get using the diameter in the above formula instead of the radius.
The volume of cylinder is 1583.4ft³.
Step-by-step explanation:
Given that :-
Height of cylinder = 14 ftBase diameter if cylinder = 12 ft
so, Radius of cylinder, r = 12 / 2 = 6 ftTo find :-
Volume of cylinderSolution :-
Using formula
Volume of cylinder = π × r² × h
Substitute the value
Volume of cylinder = π × (6ft)² × 14 ft
evaluate the exponent
Volume of cylinder = π × 36 ft ² × 14ft
multiply
Volume of cylinder = π × 504 ft³
Using , π = 3.14
Volume of cylinder = 3.14 × 504 ft³
Hence, the volume of cylinder is 1582.56ft³.
Round nearest tenth place = 1583.4 ft³.
Find the surface area and no links
Answer:
184 m²
Step-by-step explanation:
Surface Area = 2(10*2) + 2(10*6) + 2(2*6)
Surface Area = 2(20 + 60 + 12)
Surface Area = 2(92)
Surface Area = 184 m²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is the remainder when 3x^2-7x+5 is divided by x+5
answer
f(-5)=115
Step-by-step explanation:
x+5=0
x=-5
f(x)=3x^2-7x+5
f(-5)=3*(-5)^2-7(-5)+5
f(-5)=3*25+35+5
f(-5)=115
When solving the equation x2 – 8x - 7 = ( by completing
the square, which equation is a step in the process?
Step-by-step explanation:
x²– 8x - 7 = 0
(x²-8x+16) -7 = 16
(x²-8x+16) = 16+7
(x-4)² = 23
x-4 = √23
so x= 4+√23 or x= -4√23
Plz help me ASAP!!!! No files plzzzzzz. PLZZ and THX!
Answer:
y = 1x - 5
Step-by-step explanation:
We will use the slope equation for this: y = mx + b
y is our output/answer
m is our slope, or the rate of change
x is our x coordinate. For example, in (3,2) x would be 3.
b is our y intercept, or where the line passes through the y axis.
Knowing this, we can fill out the blanks.
when we look at one point on the grid, and then find the next closest number from the point we chose, we can see that the slope is 1 so we now have: y = 1x + b
to find b, we find where the line passes over the y axis which on our grid is -5. Normally we would write: y = 1x + 5 Since we have a negative 5 or -5, we will change the + to a -
This means we write y = 1x -5.
I hope this helps you and have a great day :D
Select the correct graph.
Which graph is the graph of function
f(x) =4^x
Answer:
the question on top is right
Step-by-step explanation:
Brainliest goes to whoever answers correctly and explains
Answer:
The answers are below
Step-by-step explanation:
1 - 6ft
2 - 8 years
3 - 9ft
Where is it saves three times as much money as Anna. If a represents Anna savings. Which relationship shows how much money they have saved, S, together
Answer:
S = 4a
Step-by-step explanation:
Rosa saves three times as much money as Anna. If a represents Anna's savings, which relationship shows how much money they have saved,
together?
Let
S = Total money they have saved,
together
a = Anna's savings
Rosa saves three times as much money as Anna
Rosa = 3 * a
= 3a
Total savings = Anna's savings + Rosa's savings
S = a + 3a
S = 4a
What is the value of a in the equation 38+ B equals 54 would b equals nine
Answer:
If you want to know what b is then it is 16
Step-by-step explanation:
38 + b = 54
54- 38 = 16
38 + 16= 54
Which graph shows a system of equations with a solution at (-1,1)?
A)
B)
C)
D)
Answer:
[tex]{ \tt{the \: solution \: of \: above \: graph \: is \: ( - 1, \: - 1.5)}}[/tex]
What is the experimental probability of popping a polka dot balloon? Express your answer as a fraction,decimal, and percent
Answer:
Experimental probability [popping a polka dot balloon] = 1 / 8
Step-by-step explanation:
Missing information;
Number of striped balloons = 17
Number of solid balloons = 18
Number of polka dot balloons = 5
F ind:
Experimental probability [popping a polka dot balloon]
Computation:
Experimental probability [popping a polka dot balloon] = Number of polka dot balloons / Total number of balloons
Experimental probability [popping a polka dot balloon] = 5 / [17 + 18 + 5]
Experimental probability [popping a polka dot balloon] = 5 / 40
Experimental probability [popping a polka dot balloon] = 1 / 8
A parachutist's speed during a free fall reaches 50 meters per second. What is this speed in feet per second? At this speed, how many feet will the parachutist
fall during 5 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
Answer:
speed of parachutists will be 50×3.3= 165 feet per second.
Step-by-step explanation:
hence distance traveled = speed × time taken
=165×5
=825 feet
74 + -28 =[find the difference and put the sign of big number]
Answer:
It should be 74+(-28) as 2 signs can bit be put together.
74+(-28)
=74-28 (sign only changes when there is (minus) before it
=48
We are not putting a minius (-) as 74 is digger that 28 and it has plus (+) before it.
I HOPE IT HELPS
HAVE A GREAT DAY
[tex]#Liliflim✌[/tex]
The sum of a number is
4 less then 2 times a
number is 35 what is the number?
21.5
Step-by-step explanation:35 divided by 2 = 17.517.5 + 4 = 21.5Just do the inversepor favor, me urge hacerla
Answer: do you have this in english so that I can help
Step-by-step explanation:
HELP WITH THIS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B., E.
Step-by-step explanation:
what was the difficulty ? this is just to understand the movement of a thrown rock.
what happens, when you throw a rock through the air ? it will first move up a little bit, reaches a maximum height, and then drops down again.
that is what the graphic shows.
so, can A. be correct ? no. as we move from 0 seconds to the right (time passes) the height of the rock increases first (before decreasing again later on).
can C. be correct ? no, it would mean that the function would look the same on both sides of the x-axis. this is clearly impossible.
can D. be correct ? no, nowhere in the graph is the height (= the functional value, the y to the x) negative.
can F. be correct ? no, we clearly see the maximum height at 1.5 seconds. at 3 seconds the height is actually at its minimum.
This circle graph shows the percent of land occupied by each continent.
The area of North America is approximately 220 million km2
.
Use the percents in the circle graph.
Find the approximate area of each of the other continents,
to the nearest million square kilometres.
The approximate areas of the continents (excluding North America) are as follows:
- Australia: 11 million km^2
- Europe: 15 million km^2
- Antarctica: 18 million km^2
- South America: 26 million km^2
- Africa: 44 million km^2
- Asia: 66 million km^2
To find the approximate area of each continent, we will multiply the given percentages by the area of North America (220 million km^2).
1. Australia:
Percentage: 5%
Approximate area: 0.05 * 220 million km^2 = 11 million km^2
2. Europe:
Percentage: 7%
Approximate area: 0.07 * 220 million km^2 = 15.4 million km^2 (rounded to 15 million km^2)
3. Antarctica:
Percentage: 8%
Approximate area: 0.08 * 220 million km^2 = 17.6 million km^2 (rounded to 18 million km^2)
4. South America:
Percentage: 12%
Approximate area: 0.12 * 220 million km^2 = 26.4 million km^2 (rounded to 26 million km^2)
5. Africa:
Percentage: 20%
Approximate area: 0.20 * 220 million km^2 = 44 million km^2
6. Asia:
Percentage: 30%
Approximate area: 0.30 * 220 million km^2 = 66 million km^2
Note: These values are rounded to the nearest million square kilometers.
For more such questions on continents
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Abby went camping with her family. She left her campsite to look for firewood. She walked 54 feet east and then walked 37 feet north. How far is Abby from the campsite?
Answer:
65.45 feet
Step-by-step explanation:
According to the Question,
Given, Abby went camping with her family. She left her campsite to look for firewood. She walked 54 feet east and then walked 37 feet north .
(Please find Diagram in Attachment)
A Right Angle Triangle ABC is formed by above-given data .So, By Phythagoras Theorem,
AC² = BC² + AB²
X² = 37² + 54²
X² = 4285 ⇔ √4285 ⇒ 65.45 feet
what is the difference between the domain and the range of a function?
Answer:
The domain is all the x values of a function while the range is all the y values of a function.
Answer:
Step-by-step explanation:
The domain of a function is the set of input (x-) values for which the function is defined. The range is the set of output (y-) values; often there are limitations.
For example, the sine function y = sin x is defined for all real x; for every input x, there is a corresponding output y. The sine function has a limited range in that the minimum value of the sine is -1 and the max is +1. There is no graph above y = -1 or below y = +1.
If m and n are rational numbers such that root m + root n = root 7+ 48, calculate the possible
value of m^2+n^2?.
Answer:
2353
Step-by-step explanation:
7^2+48^=2353
There are 4 000 people at a concert. 70% of these bought their tickets in advance. How many people at the concert bought tickets in advance?
As per linear equation, the number of people who bought ticket in advance is 2800.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1."
Given, the number of people is 4000.
70% of the people bought ticket in advance.
Therefore, the number of people who bought ticket in advance is
[tex]= \frac{4000(70)}{100}\\ = 2800[/tex]
Learn more about linear equation here: https://brainly.com/question/9403663
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If you place a 24-foot ladder against the top of a 20-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot. Delta math answer only :)
Hi, My answer is correct but I want to know how did I found 72 as the correct answer. Thanks already :) and please don't put any link
Answer:
Lol its just 48 divided by 2/3 and u get 72
Step-by-step explanation:
If you can give Brainiest answer it would be much help :)
HELP ME RN PLZ
The results of a survey are shown. 30 students said
their favorite dessert is pie. How many people
were surveyed? (image)
A. 75
B. 105
C. 200
D. 450
Find the area of each parallelogram.
Answer:
1 is 45yd²
2 is 21in²
3 is 63in²
4 is 20ft²
5 is 48yd²
write 36m÷9m in standard form
The expression (36m ÷ 9m) is equivalent to 4.
What is division in mathematics? What is a mathematical function, equation and expression?division : Division is the process of splitting a number or an amount into equal parts.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the following division as follows -
(36m ÷ 9m)
We have the following expression -
36m ÷ 9m
So, we can write -
(36m/9m)
36/9
4
Therefore, the expression (36m ÷ 9m) is equivalent to 4.
To solve more questions on functions, expressions and polynomials, visit the link below -
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A 1.5 Kg ball is thrown at 10 m/s. What is the ball's momentum?
Answer:
the ball's momentum is 10 × 1.5 = 15 kg m/s
Step-by-step explanation:
. Population of Sunder Nager was 235471 in the year 1991. In the year 2001 it was found to be increased by 72598. The population of the city in 2001 is
Answer:
population of sundarnagar is 235471 in the year 1991. In the year 2001 it increased by 72958. we should add these two numbers. therefore the population of the city in 2001 is 3,08,429
An artist made a 54-inch-tall statue of a former president. If the president was 6 feet tall, what scale did the artist use?
Answer:
[tex]1\text{ inch}=\frac{1}{9}\text{ foot}[/tex]
Step-by-step explanation:
To get a scale of inches to feet, divide both 54 and 6 by 54:
[tex]54\:\text{inches}=6\:\text{feet},\\\implies 1\:\text{inch}=\frac{6}{54}\:\text{ft}\implies \boxed{1\:\text{inch}=\frac{1}{9}\:\text{foot}}[/tex]
Use the graph at the top to figure out the question. If someone could help they would be great! And brainliest. Please help
Answer:
A) $24
Step-by-step explanation:
Looking at the graph, each gallon of gasoline is $3. Therefore, the equation would be y = 3x. To solve for 8 gallons, substitute the value into the equation.
y = 3(8) = 24
Therefore, the cost of 8 gallons of gasoline would be $24.