Answer:
(4x^3 -5y^2) (16x^6 + 20x^3y^2 + 25y^4)
Step-by-step explanation:
Use a^3 - b^3 formula which is (a-b) (a^2 + ab + b^2)
Here a is 4x^3 and b is 5y^2.
You get (4x^3 -5y^2) (16x^6 + 20x^3y^2 + 25y^4)
Let me know if this helps!
What are two ways you can represent the number 27 using the number 3?
Answer:
see explanation
Step-by-step explanation:
27 = 3 × 9 ← is one way
27 = 3³ ← is another way
The two (2) ways you can represent the number 27 using the number 3 are shown below.
In this exercise, you're required to represent the number 27 by using the number 3. This simply means that you will represent the number 27 in terms of 3.
First way;
Since 3 is a factor of 27, we would multiply it to get 27.
[tex]27 = 3 * 3 * 3[/tex]
Second way;
From the above, we can see that the product of 3 is equal to 27.
[tex]27 = 3^{3}[/tex]
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[2+(-4)]+5-[(-11)x(-2)]-(-7)
Answer: -12
Step-by-step explanation:
[2+(-4)] becomes (2-4), or -2, and 5-[(-11)x(-2)]-(-7) becomes 5-22+7, so the entire thing is -2+5-22+7, so it is -12.
The given expression [2+(-4)]+5-[(-11)x(-2)]-(-7) simplifies to -12.
To simplify the given expression, we follow the order of operations (PEMDAS/BODMAS):
Step 1: Evaluate the innermost parentheses:
[2 + (-4)] + 5 - [(-11) x (-2)] - (-7)
[2 - 4] + 5 - [(-11) x (-2)] - (-7)
Step 2: Complete the operations inside the brackets:
[-2] + 5 - [22] - (-7)
Step 3: Simplify the subtraction and negation:
-2 + 5 - 22 + 7
Step 4: Perform addition and subtraction from left to right:
(5 - 2) - 22 + 7
3 - 22 + 7
Step 5: Continue performing addition and subtraction:
-19 + 7
Step 6: Final result:
-12
The expression simplifies to -12.
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What’s the measure of x
Answer:
[tex]\boxed {\sf x=66^o}[/tex]
Step-by-step explanation:
Apply the properties of a triangle:-
Where, the sum of all internal angles of a triangle is always equal to 180°.
[tex]\sf 90^o+x+24^o=180^o[/tex]
Combine like terms.
[tex]\sf x+90+24=180^o[/tex]
Add numbers.
[tex]\sf x+114=180^o[/tex]
Subtract 114 from both sides.
[tex]\sf x+114-114=180-114[/tex]
[tex]\sf x=66^o[/tex]
−2 1/4=r−4/5
What is r?
Answer:
r = -29/20 or r = -1.45
Step-by-step explanation:
I believe you are saying that the equation is -2 1/4 = r - 4/5. If so, then I would solve it in this way:
-2 1/4 = r - 4/5
-9/4 = r - 4/5
-9/4 (20) = r (20) - 4/5 (20)
-45 = 20r - 16
20r = -29
r = -29/20
r = -1.45
Check:
-2 1/4 = r - 4/5
-9/4 = r - 4/5
-2.25 = r - 0.8
-2.25 = -1.45 - 0.8
-2.25 = -2.25
-9/4 = -9/4
The calculated value of variable r is r = -1.45.
What is equation?An equation is a mathematical statement that shows the equality between two expressions. It typically consists of variables, constants, and mathematical operations (e.g., addition, subtraction, multiplication, division) with an equal sign (=) in between.
To solve for r in the equation -21/4 = r - 4/5
Step 1: Add 4/5 to both sides of the equation to isolate r:
r = -2.25 + 4/5
Convert -2.25 to a fraction with a common denominator of 5:
r = (-11.25/5) + (4/5)
Add the fractions:
r = (-11.25 + 4)/5
Simplify:
r = -7.25/5
r = -1.45
So, r = -1.45.
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2. Hal forgot the number of people at the
basketball game. He does remember that
the number had four digits and a 3 in the
tens place. Write a number that Hal could
be thinking of
Answer:
Well there is a lot of different numbers he could be thinking of because we are only given 2 useful pieces of information: Four Digits, and, a 3 in the tens place (30).
.
This means that the other spaces could be any number.
.
If X represents a random number it would be XX3X.
.
Eg 1234
How did the railroad facilitate population growth in
the interior of the country? Check all of the boxes
that apply.
The railroad built towns along the railroad.
The railroad bought land from farmers,
ranchers, and business owners.
The railroad recruited settlers to form new
communities along the route.
The railroad encouraged American Indians to
settle along the route.
DONE
Answer:
1. The railroad built towns along the railroad.
and
3. The railroad recruited settlers to form new.
Step-by-step explanation:
I just took it
The railroad facilitate population growth in the interior of the country by The railroad built towns along the railroad, The railroad recruited settlers to form new.
What is the population?A population is a complete set of a group of individualists, whether that group constitutes a nation or a group of groupings with a common characteristic. In data point, a population is the pool of individuals from which a statistical sample is drawn for a study. As we see, different countries have different populations.
The construction of the transcontinental railroad boosted Western economic development and population growth. For both persons and commodities, railroad businesses offered superior transportation. Additionally, they sold the property to settlers, which prompted a Westward migration. New railroads benefited the industry.
Therefore, option (A) is correct
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Amber is an American teaching English in China, and she currently has 35,000
yuan in her bank account. If the exchange rate changes from 1 U.S. dollar =
6.83 Chinese yuan to 1 U.S. dollar = 6.96 Chinese yuan, what happens to the
value in U.S. dollars of the money in Amber's bank account?
A. It decreases by $4550.00
B. It increases by $4550.00
C. It increases by $95.71
D. It decreases by $95.71
It decreases by $95.71
Answer:
decreases by $95.71
Step-by-step explanation:
Just did test
Find the distance between the points (a, 0) and (0, b).
Answer:
d = sqrt( a^2 + b^2)
Step-by-step explanation:
Formula
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x1 = a
x2 = 0
y1 = 0
y2 = b
Solution
d = sqrt( (0 - a)^2 + (b - 0)^2 )
d = sqrt( a^2 + b^2)
which is another way of writing the Pythagorean theorem.
To find the distance between points (a, 0) and (0, b), use the distance formula which results in √(a² + b²). This involves calculating the square root of the sum of the squares of the coordinates.
Therefore, the final distance is √(a² + b²).
Finding the Distance Between Two Points
To find the distance between two points (a, 0) and (0, b), we use the distance formula:
Distance formula: d = √((x2 - x1)² + (y2 - y1)²)
Let's denote the points as:
Point 1: (a, 0)
Point 2: (0, b)
Applying the coordinates to the distance formula, we get:
d = √((0 - a)² + (b - 0)²)
Simplifying inside the square root:
d = √(a² + b²)
So, the distance between the points (a, 0) and (0, b) is √(a²+ b²).
Lilly and Rose are playing a game. In the game, each player starts with 0 points and the player with the most points at the end wins. Lilly gains 5 points two times, loses 12 points/ and then gains 3 points. rose loses 3 points two times, loses 1 point, gains 6 points, and then gains 7 points.
A. write and evaluate an expression to find Lillys score.
B. write and evaluate an expression to find Roses score
C. Who won the game, and why?
Answer:
Rose wins the game, with 6 points over Lilly's 1 point.
Step-by-step explanation:
Let's find Lilly's score. In this example we will add together the gains first, so we wouldn't have to deal with negative numbers, and after, we subtract the losses of each person.
Lilly's points:
[tex]0 + 5 + 5 + 3 - 12 = 1[/tex]
Rose's points:
[tex]0 + 6 + 7 - 3 - 3 - 1 = 6[/tex]
Rose wins the game with a 5 point lead.
Lilly's score is 1 and Rose's score is 6. Therefore, Rose wins the game because 6 is greater than 1.
Explanation:To find Lilly and Rose's score, we will create and solve an expression that reflects each player's game moves.
A. Lilly's score:
Lilly gains 5 points two times, loses 12 points, and then gains 3 points. We can express this as (5*2) - 12 + 3. First, we multiply 5 by 2, which equals 10. Then, we subtract 12 from 10, which gives -2. Finally, we add 3 to -2, resulting in a final score of 1 for Lilly.
B. Rose's score:
Rose loses 3 points two times, loses 1 point, gains 6 points, and gains 7 points. We can write this as (-3*2) - 1 + 6 + 7. First, we multiply -3 by 2, which equals -6. Then, we subtract 1 from -6 yielding -7. After that, we add 6 to -7, getting -1. Lastly, we add 7 to -1, resulting in a final score of 6 for Rose.
C. Game result:
Rose won the game because her final score of 6 is higher than Lilly's final score of 1.
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What is greater 3/4 or 5/8 math
Answer:
3/4
Step-by-step explanation:
3/4 is equal to 6/8 which is bigger than 5/8
6/8 > 5/8
Answer: 5/8
Step-by-step explanation:
3/4=0.8
5/8=0.7
Write in slope-intercept form an equation of the line that passes through the points (−5,−3) and (3,−11)
Slope intercept form is y=-x-8.
Which of the following equations has infinitely many real solutions?
A) 4x + 1 = x-1
B) 4(x-5)=4x+20
C) 4(x-5) =4x-20
D) 4x+ 1 = 4x-1
Which of the following equations has exactly one solution?
A) x + 1= x + 1
B) 7x= 7x
C) x + 1 = x + 2
D) 7x= 7
Which of the following equations has no real solutions?
A) 14x-6=14x-6
B) 4(x+8) = 4( x+4)
C) 4x-8 =4x -28
D) 8(x-6) =8x-48
Answer:
1) b 2) d 3) d
Step-by-step explanation:
Translate (N-5)*7 turn into verbal statement
(N-5)*7
The N-5 is in parenthesis, so this needs to be done first, then the multiplication is done.
To say this verbally:
Subtract five from N, then multiply by seven.
a cookie recipe calls for 1 2/3 of sugar if you plan on changing the recipe to make it 2 1/2 times as much how many cups of sugar will you need
Pls show work
Answer:
[tex]4\frac{1}{6}\ cups[/tex]
Step-by-step explanation:
we know that
The recipe calls for 1 2/3 of sugar
To make 2 1/2 times the recipe
Multiply 2 1/2 by 1 2/3
Convert mixed numbers to an improper fraction
[tex]1\frac{2}{3}=\frac{1*3+2}{3}=\frac{5}{3}\ cups[/tex]
[tex]2\frac{1}{2}=\frac{2*2+1}{2}=\frac{5}{2}[/tex]
so
[tex]\frac{5}{2}(\frac{5}{3})=\frac{25}{6}\ cups[/tex]
Convert to mixed number
[tex]\frac{25}{6}=\frac{24}{6}+\frac{1}{6}=4\frac{1}{6}\ cups[/tex]
Final answer:
To find out how much sugar is needed for the new recipe that is 2 1/2 times as much, follow the three-step process.
Explanation:
To find the amount of sugar needed:
Calculate 1 2/3 cups of sugar is equal to 5/3 cups of sugar.
Multiply 5/3 by 2 1/2, which equals 25/6.
Convert 25/6 to a mixed number, which is 4 1/6 cups of sugar needed for the new recipe.
slope 2, y-intercept at 0
Answer:
y = 2x
Step-by-step explanation:
This is what is known as direct variation.
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8. What is the prime factorization of 120?
Answer:
120 is a composite number. 120 = 1 x 120, 2 x 60, 3 x 40, 4 x 30, 5 x 24, 6 x 20, 8 x 15, or 10 x 12. Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. Prime factorization: 120 = 2 x 2 x 2 x 3 x 5, which can also be written 120 = 2³ x 3 x 5.
Answer:
3 x [tex]2^{3}[/tex] x 5 = 120
Step-by-step explanation:
Use the factorization tree to answer this question.
Anything helps ouuuuuu:)))))))))))
Answer:
In order for the average to equal 3,000 then the total attendance must equal 9,000.
Show 1 = 2,580
Show 2 = 2,920
2 show total = 5,500
Therefore, third show total must equal 9,000 minus 5,500 =
3,500
Double-Check
2,580 + 2,920 + 3,500 = 9,000
Step-by-step explanation:
what is the answer to
6x + 7 = 13 + 7x
x = -6 is the solution to the equation 6x + 7 = 13 + 7x
To solve the equation 6x + 7 = 13 + 7x, you can follow these steps:
Group the x terms on one side and the constant terms on the other side:
6x - 7x = 13 - 7
Combine like terms:
-x = 6
Multiply both sides of the equation by -1 to isolate x:
-1*(-x) = -1*6
This simplifies to:
x = -6
Therefore, the solution to the equation 6x + 7 = 13 + 7x is x = -6.
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Lucinda has a pocketful of dimes and quarters with a value of $6.20. The number of dimes is 18 more than 3 times the number of quarters. How many dimes and how many quarters does Lucinda have?
Answer:
The number of dimes is 42 and the number of quarters is 8
Step-by-step explanation:
Let
x -----> the number of dimes
y -----> the number of quarters
Remember that
1 dime=$0.10
1 quarter=$0.25
we know that
0.10x+0.25y=6.20 -----> equation A
x=3y+18 ----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (42,8)
see the attached figure
therefore
The number of dimes is 42 and the number of quarters is 8
There are 42 dimes and 8 quarters
Further explanationThe two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
[tex] \large {\boxed {\bold {ax + bx = c}}} [/tex]
x, y = variable
In this equation system there are coefficients and variables whose solutions can use:
1. substitution 2. elimination 3. graph 4. mix
We can state the problem in the form of algebraic equations
Lucinda has a pocketful of dimes and quarters with a value of $ 6.20
we translate this sentence into Algebraic expressions:
dime = D = $ 0.10
quarter = Q = $ 0.25
Then the equation becomes:
0.1D + 0.25Q = 6.20The number of dimes is 18 more than 3 times the number of quarters
we translate this sentence into Algebraic expressions:
D = 18 + Q
D - 3Q = 18
We solve the two equations with substitution and elimination
1. elimination
0.1D + 0.25Q = 6.20 x 10
D - 3Q = 18 x 1
------------------------------------
D + 2Q = 62
D - 3Q = 18
----------------------------------- -
5.5Q = 44
Q = 8
2. substitution
D - 3Q = 18
D - 3.8 = 18
D - 24 = 18
D = 42
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Factor out the coefficient of the variable in the expression 1/3b - 1/3
Answer:
[tex]\dfrac{1}{3} \left (\dfrac{1}{b} - 1 \right )[/tex]
Step-by-step explanation:
[tex]f(x) = \dfrac{1}{3b} - \dfrac{1}{3}[/tex]
1. Find the least common multiple of the denominators
The least common multiple of 3 and 3 is 3.
2. Factor out ⅓.
[tex]\dfrac{1}{3b} - \dfrac{1}{3} = \mathbf{\dfrac{1}{3} \left (\dfrac{1}{b} - 1 \right )}[/tex]
What is the circumference of a circle with an area of 50.24 cm²?
Use 3.14 for pi.
Enter your answer as a decimal in the box.
Answer:
What is the circumference of a circle with an area of 50.24 cm²?
Use 3.14 for pi.
Enter your answer as a decimal in the box.
25.12cm
- 3/4 (x + 2) = 6
the / is a fraction can someone help
Lyndi has started a home business
If |z - 7| - 2 = 2, then z = -3 /amp; z = -11 true or false
Answer:
False
Step-by-step explanation:
The absolute value always returns a positive value, however the expression inside can be positive or negative, that is
Given
| z - 7 | - 2 = 2 ( add 2 to both sides )
| z - 7 | = 4, then
z - 7 = 4 OR - (z - 7) = 4
z = 4 + 7 = 11 OR
- z + 7 = 4
- z = 4 - 7 = - 3 ( multiply both sides by - 1 )
z = 3
As a check
z = 11
| 11 - 7 | - 2 = | 4 | - 2 = 4 - 2 = 2 ← True
z = 3
| 3 - 7 | - 2 = | - 4 | - 2 = 4 - 2 = 2 ← True
Hence z = 11 or z = 3 are the solutions
Rewrite the following without an exponent. (-2)^2
Answer:
(-2)(-2) or 4
Step-by-step explanation:
[tex](-2)^2=4[/tex]
What is an exponent?"It is the number of times a number is multiplied by itself. "
For given question,
We have been given a number [tex](-2)^2[/tex]
We need to write given number without exponent.
[tex](-2)^2\\=(-2)\times (-2)\\=4[/tex]
Therefore, [tex](-2)^2=4[/tex]
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The graph of which function(s) will contain the point (3, 6)?
y = x + 3
y = 3x
y = 2x
y = x + 6
Answer:
Step-by-step explanation:
y = x+3 because when : x = 3 y = 3+3=6
y=2x because when : x = 3 y = 2(3)=6
How do you reduce 16/72
Answer:
2/9
Step-by-step explanation:
16/72 = (8×2)/ (8×9)=2/9
Answer: 2/9
Step-by-step explanation:
Divide it by 2 and keep going until you can't anymore.
Find the domain of the function.
Answer:
{y|10 < y}; ○ y > 10
Step-by-step explanation:
Whenever you have a Rational-Radical function, the answer will ALWAYS result in greater than.
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Please help me idk this
Answer:3.3
Step-by-step explanation:
You want to look at the 3.2 because the 2 in the hundredths place so you will round it up because 6 is higher than 5 so it will be 3.3
Rounded to the nearest hundredth is 3.26
V = arh for h
Helppppppppp
Answer:
h = V / ar
Step-by-step explanation:
V = arh
arh = V (divide both sides by "ar" )
h = V / ar