Answer:
Please check the explanation.
Step-by-step explanation:
Given the expression
[tex]\:x^3+25\:[/tex]
Please note that the given expression could not factor further.
But, wait!
Let me take a sample expression and factor that sample expression so that you could get an idea of how to factorize the expression
Given the sample expression
[tex]x^2-5x+6[/tex]
Breaking the expression into groups
[tex]\:x^2-5x+6=\left(x^2-2x\right)+\left(-3x+6\right)[/tex]
Factor out x from x²-2x: x(x-2)
Factor out -3 from -3x+6: -3(x-2)
[tex]=x\left(x-2\right)-3\left(x-2\right)[/tex]
Factor out the common term (x-2)
[tex]=\left(x-2\right)\left(x-3\right)[/tex]
Thus, factorizing the expression such as:
[tex]x^2-5x+6=\left(x-2\right)\left(x-3\right)[/tex]
Please need help on this one
Answer:
60°
Step-by-step explanation:
You have to do a² + b² = c²
I plugged in the numbers and they matched up.
Hope this helps ya!
A class of 160 students contain 40 honor students, 60 athletes, and 80 who are neither athletes nor honor students. From the entire group a student is chosen at random. What is the probability that the student is an honor student given that he is an athlete
1/2
1/3
1/8
Answer:
⅛
Step-by-step explanation:
let x represent students who are both honor students and athletes
60+80+40-x=160
180-x=160
x=189-160=20
The probability=20/160=⅛
Answer:
The correct answer is 1/3
Step-by-step explanation:
If sales tax is 7%, how much tax will Miguel pay for a TV that costs $150?
Answer:
$10.50
Step-by-step explanation:
To find how much tax is added on to the $150 we have to multiply .07 by 150.
(150)(.07) = 10.5
Therefore, Miguel will have to pay $10.50 in tax.
I hope this helps!
- Kay :)
A model of a house is shown What is the perimeter, in feet, of the model?
Answer:
There isn't anything shown. Perimeter is all sides added up. Hope that helps.
Step-by-step explanation:
Evaluate the expression.
-2x + 3y; x = 3, y = 4
Answer:
6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
-2x + 3y
x = 3
y = 4
Step 2: Evaluate
Substitute: -2(3) + 3(4)Multiply: -6 + 12Add: 6If Alejandro walks 3 miles in 43 minutes, then how far will Alejandro walk in 93 minutes?
Answer:
he will walk about 8 miles
Step-by-step explanation:
A heating pad takes 9,738 watts during each time it is turned on. If you only use it for 48 minutes, how much CO2 was created? Round to 1 decimal.
Help me out here pleaseeeee
Answer:
32 pieces is the right answer
3×8=24
24×1/4
so 32
Step-by-step explanation:
please mark me as brainliest
When a number is increased by 13, the result
is 43. What equation fits this statement?
Answer:
The equation is
✔ d = 5l
.
As the number of
✔ laps
increases, the number of
✔ dollars
also increases.
Step-by-step explanation:
Using the concept of expressing an equation , the required expression is n + 13 = 43
Let the number be : n
The number increased by 13 can be expressed thus :
n + 13Equating the expression to the result, we'll have :
n + 13 = 43Therefore, the required expression, is n + 13 = 43
Learn more : https://brainly.com/question/19802693
X+1 , 2x+3 and X+7 are the second, third and fourth terms of an arithmetic series. Find the value of X and hence calculate the common difference.
Answer:
x = 1,
Common Difference = -3
Step-by-step explanation:
Each number in series has the same difference, hence
(x + 1) - (2x+3) = (2x + 3) - (x + 7) Solve to find => x = 1Plug in value of x into (x+1) - (2x+3)Which solves for -3
Answer:
x=1
c.d.=3
Step-by-step explanation:
2(2x+3)=x+1+x+7
4x+6=2x+8
4x-2x=8-6
2x=2
x=1
so terms are 2,5,8
c.d.=5-2=3
Valerie bought a 9 ft piece of ribbon from which she wants to cut into 2/3 ft pieces. How many 2/3 ft pieces can
Valerie cut?
Answer:
Valerie can cut 13 2/3 ft pieces.
Step-by-step explanation:
Please brainliest!
An object dropped from rest from the top of a tall building on Planet X falls a distance feet in the first t seconds. Find the average rate of change of distance with respect to time as t changes from to . This rate is known as the average velocity, or speed. The average velocity as t changes from to seconds is:________
Complete Question:
An object dropped from rest from the top of a tall building on Planet X falls a distance d(t)=13t^2 feet in the first t seconds. Find the average rate of change of distance with respect to time as t changes from t1=2 to t2=10. This rate is known as the average velocity, or speed.
The average velocity as t changes from 2 to 10 seconds is _______ feet/sec?
Answer:
[tex]v = 156[/tex]
Step-by-step explanation:
Given
[tex]d(t)=13t^2[/tex]
Time Interval: (a,b)
[tex]a = 2[/tex]
[tex]b = 10[/tex]
Required
Determine the average rate of change (v)
This is calculated as thus:
[tex]v = \frac{d(b) - d(a)}{b - a}[/tex]
Substitute values for b and a
[tex]v = \frac{d(10) - d(2)}{10 - 2}[/tex]
[tex]v = \frac{d(10) - d(2)}{8}[/tex]
Calculate d(10): Substitute 10 for t
[tex]d(t)=13t^2[/tex]
[tex]d(10) = 13 * 10^2[/tex]
[tex]d(10) = 13 * 100[/tex]
[tex]d(10) = 1300[/tex]
Calculate d(2): Substitute 2 for t
[tex]d(t)=13t^2[/tex]
[tex]d(2) = 13 * 2^2[/tex]
[tex]d(2) = 13 * 4[/tex]
[tex]d(2) = 52[/tex]
The equation [tex]v = \frac{d(10) - d(2)}{8}[/tex] becomes
[tex]v = \frac{1300 - 52}{8}[/tex]
[tex]v = \frac{1248}{8}[/tex]
[tex]v = 156[/tex]
Hence, the average rate of change is 156ft/s
Helppppp!!!
Every hour, the radio station
plays 16 commercials that are
a total 13 minutes in length. If
x represents a 30-second
commercial and y is a 60-
second commercial, how many
of each type of commercial is
played?
Enter the equations that
represent the scenario into the
graphing calculator to find how
many of each type of
commercial is played.
x + y = 16
0.5x + y = 13
In one hour, the radio station
plays commercials that are 30 seconds long. In one hour, the radio station plays commercials that are 60 seconds long
Answer:
it would be 6 and 10
Step-by-step explanation:
Answer:
the answer is
6
10
Step-by-step explanation:
im taking the assignment
3
Evaluate the expression 4 + [(96 ÷ 8) × 5] – 42.
Answer:
22
Step-by-step explanation:
4 + [(96 ÷ 8) × 5] – 42 =
4 + [12 × 5] - 42 =
4 + 60 - 42 =
22
If four loaves of bread costs $8, a loaf of bread and a bag of oranges costs $5, and a loaf of bread, two bags of oranges and a basket of apples costs $12, what is the cost of a basket of apples?
Answer:
$6
Step-by-step explanation:
4 loaves of bread ---- $8
1 loaf of bread ---- $8 ÷ 4 = $2
one bag of oranges --- $5 - $2 = $3
two bags of oranges --- $3 × 2 = $6
one basket of apples --- $12 - $6 = $6
The cost of a basket of apples is $6.
In a fish tank, there are 3 orange fish, 5 blue fish and 6 yellow fish. In simplest form, what is the ratio of yellow
fish to orange fish? Explain what your ratio means in context.
Show Your Work
6:3, for every six yellow fish there are three orange fish
2:1, for every two yellow fish there is one orange fish
3:6, for every three orange fish there are six blue fish
23:5. for every three orange fish there are five blue fish
P
Answer:
B. 2:1, for every two yellow fish there is one orange fish
Step-by-step explanation:
So you have 6 yellow fish and 3 orange fish.
You can divide both these values by 3 to get:
2 yellow fish: 1 orange fish
Therefore, the simplified version of the ratio is 2:1
In context this means for every 2 yellow fish there is 1 orange fish.
The answer is then B.
I hope this helps!!
- Kay
One Friday the temperature in a town at 5:00PM was 7 degrees Fahrenheit which was 13 degrees warmer than at 9 AM
What was the temperature in degrees Fahrenheit at 9:00 AM?
Answer:
-6° F
Step-by-step explanation:
solve the proportion. 6/8=y/12
Answer:
y=9
Step-by-step explanation:
I drew a model to help me
# 3 A cellular phone company offers several different service options. If the total cost per month is given by the
formula C = 0.42 m+ 7.81, how much will you pay in a month when you did not use the phone?
Answer:7.81
Step-by-step explanation:
7.81=0.42*0 +7.81
Find the 107 the derivative of the function
Answer:
Step-by-step explanation:
Pattern
dx/dy = - sin(x)
d^2/dx^2 = -cos(x)
d3/dx^3 = sin(x)
d4/dx^4 = cos(x)
So if you divide 107 by 4 what's the remainder?
107 / 4 = 26 with a remainder of 3
So the answer is going to be the third one down or d107/dy^107 = sin(x)
List the first 3 odd
composite numbers.
Answer:
9, 15, 21
Step-by-step explanation:
A composite number is a positive integer that can be formed by multiplying two smaller positive integers.
hope this helps, pls mark brainliest :D
Answer: 9 15 21
Step-by-step explanation: hope this helps
IM THE COOL KID 121212
PLEASE answer i’ll do anything please
Answer:
25
Step-by-step explanation:
[tex]f(x) = {3}^{x} - 2 \\ \\ plug \: x = 3 \\ \\ f(3) = {3}^{3} - 2 \\ \\ f(3) = 27 - 2 \\ \\ f(3) = 25[/tex]
suppose that you have made a batch of orange paint by mixing 2 cups of red paint and 1/3 cups of yellow paint. What are some other combinations of numbers of cups of red paint and yellow paint that you can mix to make the same shade of orange?
Answer:
6 red and 1 yellow
Step-by-step explanation:
Multiply 2 and 1/3 by the same value
* 2
4 Red and 2/3 Yellow
*3
6 red and 1 yellow
Etc.
The circumference of the base of a cone is 10π cm. The circumference of the base of a second similar cone is 20π cm. What is the ratio of the surface area of the first cone to that of the second cone?
Given:
The circumference of the base of a cone is 10π cm.
The circumference of the base of a second similar cone is 20π.
To find:
The ratio of the surface area of the first cone to that of the second cone.
Solution:
Let the radii of base of two cones are [tex]r_1[/tex] and [tex]r_2[/tex] respectively.
Circumference of the circular base is [tex]2\pi r[/tex], where, r is radius.
We have,
[tex]2\pi r_1=10\pi\text{ cm}[/tex]
[tex]r_1=\dfrac{10\pi}{2\pi}\text{ cm}[/tex]
[tex]r_1=5\text{ cm}[/tex]
And,
[tex]2\pi r_2=20\pi\text{ cm}[/tex]
[tex]r_2=\dfrac{20\pi}{2\pi}\text{ cm}[/tex]
[tex]r_2=10\text{ cm}[/tex]
It two cons are similar, then ratio of there areas is equal to square of the ratio of there corresponding dimensions, i.e., radius or heights.
[tex]\dfrac{A_1}{A_2}=\left(\dfrac{r_1}{r_2}\right)^2[/tex]
[tex]\dfrac{A_1}{A_2}=\left(\dfrac{5}{10}\right)^2[/tex]
[tex]\dfrac{A_1}{A_2}=\left(\dfrac{1}{2}\right)^2[/tex]
[tex]\dfrac{A_1}{A_2}=\dfrac{1}{4}[/tex]
The ratio form is
[tex]V_1:V_2=1:4[/tex]
Therefore, the ratio of the surface area of the first cone to that of the second cone is 1:4.
The ratio of the surface area of first cone to that of the second cone is; 1:4
Surface AreaFormula for the circumference of the base of a cone is;
C = 2πr
Where;
C is circumference
r is radius
Thus;
For the first cone;10π = 2πr
r = 10π/2π
r = 5
For the second cone;20π = 2πr
r = 20π/π
r = 10
Now, formula for surface area of the base is;
A = πr²
Thus, ratio of both area of first cone to second cone is;
A1/A2 = 5²/10²
A1/A2 = 25/100
A1/A2 = 1/4
Thus, ratio of first cone to that of the second cone is; 1:4
Read more on surface area of cone at; https://brainly.com/question/6613758
Uhhh how many cookies will she put in each container
Answer:
Step-by-step explanation:
You didn't put anything to solve
Answer:
She will put as many cookies that will fit in the containers she has.
Select the better answer for the definition: Step Function.
Answer:
A function that increases or decreases abruptly from one constant value to another.
Mrs. Cousins works in a pool store and earns a 9.5% commission on every swimming pool she sells. How much commission would she earn for selling a pool that costs $5,600?
Answer:
$532
Step-by-step explanation:
19/200 * 5600/1
Cross cancellation makes this:
19/1 * 28/1
19 * 28
(19 * 20) + (19 * 8)
380 + 152
$532 in commission
Which of the following statement are true
A:The only factors of 9 are 1 and 9
B:The only factors of 7 are 1 and 7
C:The only factors of 6 are 1,2, and 3
D:The only factors of 16 are 1,2,4 and 16
PLEASE HELLPPPPP
Sandra Jean ears an annual
salary of $38,400.00. What is
her monthly salary?
Answer:$3200
Step-by-step explanation:
38,400 divided by 12 = $3200