Find the product by using the FOIL method
(11z-5y)(3z+2y)
Plz help!
Find the volume of the box. use the formula v = lwh. rectangular box with three sides visible, having width, length, and height of x plus two, two x minus one, and three x plus one respectively
a. 6x3 – 2
b. 6x2 – 13x2 – 3x – 2
c. 6x2– x – 1
d. 6x3 + 11x2 – 3x – 2
The expression for the volume of the box is given by 6x³+11x²-3x-2
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Given that, rectangular box with three sides visible, having width, length, and height of x plus two, two x minus one, and three x plus one
Height = x+2
Width = 2x+1
Length = 3x+1
Volume = HxLxW
Volume = (x+2)(2x+1)(3x+1)
= 2x²-x+4x-2(3x+1)
= (2x²+3x-2)(3x+1)
= 6x³+11x²-3x-2
Hence, The expression for the volume of the box is given by 6x³+11x²-3x-2
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when the solutions to each of the two equations below are graphed in the xy coordinate plane, the graphs of the solutions intersect at two places. Write the y-coordinate of the points of intersection in the boxes below in order from smallest to largest. y=2x and y=x^2-3
Answer:
Step-by-step explanation:
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
⇒ -3,
⇒ 0.59,
⇒ 3.41
What would be the side length of the smallest square plate on which a 40-cm chopstick can fit along a diagonal without any overhang? (Correct answer will get reward)
The side length of the smallest square plate required to fit a 40-cm chopstick along its diagonal without any overhang is approximately 28.284 cm.
To find the side length of the smallest square plate in which a 40-cm chopstick can fit along a diagonal without any overhang, we can use the Pythagorean theorem. The diagonal of a square is the hypotenuse of a right-angled triangle formed by two sides of the square. Since the sides of the square are equal, if one side is s, then the diagonal d can be calculated using the equation d = s√2, where √2 is the square root of 2 (approximately 1.4142).
Therefore, to fit a 40-cm chopstick along the diagonal:
Let d = 40 cm.
Use the equation s√2 = 40 cm to find s, the side of the square.
s = 40 cm / √2.
s ≈ 28.284 cm when rounded to three decimal places.
So, the side length of the smallest square plate on which a 40-cm chopstick can fit along a diagonal without any overhang is approximately 28.284 cm.
Let $G$ denote the centroid of triangle $ABC$. If triangle $ABG$ is equilateral with side length 2, then determine the perimeter of triangle $ABC$. 99 points! for right answer!
A 2-digit number is one more than 6 times the sum of its digits. If the digits are reversed, the new number is 9 less than the original number. Find the original number
1. _____ is exchanging one good for another without using money.
Credit
Barter
Negotiating
Brokering
2. A _____ has to be paid in full on the due date. (1 point)
Charge card
Credit card
Debit card
Check card
3. The _____ is the original amount owed on a loan. (1 point)
Loan due
Interest
Available balance
Principal
4. APR is used to calculate the _____. (1 point)
Loan amount
Interest accrued
Principal
Future earnings,
The answers are:
1. Barter
2. charge card
3. principal
4. interest accured
Suppose a population of 175 crayfish doubles in size every month. the function f(x) = 175(2x) gives the population after x months. how many crayfish will there be after 1 year?
Philip is going on a 400040004000-kilometer road trip with three friends. The car consumes 666 liters of gas per 100100100 kilometers, and gas costs \$1.50$1.50dollar sign, 1, point, 50 per liter. If Philip and his friends want to split the cost of gas evenly, how much should they each pay?
Sara is 8 years old and her mom is 34 years old. In how many years will Sara be twice as young as her mom will be?
If x is the number of years, then the equation is ______
The answer is _____
An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 4 cm long. A second side of the triangle is 7.4 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter. Question 3 options: 11.1 cm, 4.9 cm 44.4 cm, 3.2 cm 44.4 cm, 11.1 cm 24 cm, 4.9 cm
Answer:
11.1 cm, 4.9 cm
What’s the value of x worth 15 points!
Hi there! :)
Answer:
x=39
*The answer must have a positive sign.*
Step-by-step explanation:
When the 2 acute angles in which means you had to used 2x from both sides of an equation.
First, only had to do is, add by 15 from both sides of an equation.
[tex]3x-15+15=2x+24+15[/tex]
Then, you add by the numbers from left to right.
[tex]24+15=39[/tex]
[tex]3x=2x+39[/tex]
Next, you subtract by 2x from both sides of an equation.
[tex]3x-2x=2x+39-2x[/tex]
Finally, you simplify.
[tex]x=39[/tex]
Final answer is x=39
Hope this helps!
Thanks!
Have a nice day! :)
:D
-Charlie
HELP!!...................
Simplify these algebraic expressions: 12x + 3 − 4x + 7, 8 − 7x − 13 + 2x, −3x − 18 + 5x − 2
The simplified expressions are:
12x + 3 − 4x + 7 = 8x + 10
8 − 7x − 13 + 2x = −5x − 5
−3x − 18 + 5x − 2 = 2x − 20
What is an expression?A term is a single mathematical phrase. It might consist of only one variable—a letter—one number—positive or negative—or several variables multiplied but never added or subtracted. A number is placed in front of some nouns that have variables. Coefficients are numbers that come before phrases.
To simplify each expression, we combine like terms:
Expression 1:
12x + 3 − 4x + 7 = (12x − 4x) + (3 + 7)
12x + 3 − 4x + 7 = 8x + 10
Expression 2:
8 − 7x − 13 + 2x = (−7x + 2x) + (8 − 13) = −5x − 5
Expression 3:
−3x − 18 + 5x − 2 = (−3x + 5x) + (−18 − 2) = 2x − 20.
Therefore, the simplified expressions are:
12x + 3 − 4x + 7 = 8x + 10
8 − 7x − 13 + 2x = −5x − 5
−3x − 18 + 5x − 2 = 2x − 20
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In the Citizens United case the Supreme Court interpreted political donations as __________.
Jim runs a food cart and during a business outdoor Festival he sold $8470 worth of food he sells hot dogs for $2.50 and steak sandwiches for $10 if he sold a total of 985 items that they how many of each item did he sell?
Find the area of a triangle with a base length of 3 units and a height of 4 units.
every day Josie bakery bakes muffins and bagels. the ratio of m7ffins to bagels is always the same. the table shows data about what Josie bakery bakes 3 days of the week. How many bagels did Josie bakery bakes on wednesday
What are the values of a and b in the equation (4x^a)^b = 256/x^8
Answer:
The value of a is -2 and the value of b is 4.
Step-by-step explanation:
Given expression is,
[tex](4x^a)^b = \frac{256}{x^8}[/tex]
Using [tex](ab)^m=a^m.b^n[/tex] on left side,
[tex]4^b(x)^{ab}=\frac{4^4}{x^8}[/tex] ( [tex]4^4 = 256[/tex] )
Using [tex]a^m=\frac{1}{a^{-m}}[/tex],
[tex]4^b(x)^{ab}=4^4 (x)^{-8}[/tex]
By comparing both sides,
We get,
b = 4 and ab = -8
⇒ a = -2
Hence, the value of a is -2 and the value of b is 4.
Ben bought a desk for $249.99. The sales tax rate was 6.25%. How much did Ben pay for the desk? Round your answer to the nearest cent. (1 point)
$15.62
$187.49
$265.61
$406.23
Just tell me if its A,B,C, or D.
The Price for Desk after tax is $265.614.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Ben bought a desk for $249.99.
Tax rate = 6.25%
So, the price for desk after tax
= 249.99 + 249.99 x 6.25%
= 249.99 + 249.99 x 0.0625
= 249.99 +15.62
= $265.614
Hence, the Price for Desk after tax is $265.614.
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Three times a number added four times the number equals 84 find the number
Find the value of z.
A tessellation is a (blank) patterns of figures?
reflecting
repeating
symmetrical,
The explicit rule for a sequence is an=9(−5)n−1 .
What is recursive rule for the sequence?
an=5−(an−1),a1=9
an=−9(an−1),a1=5
an=9−(an−1),a1=5
an=−5(an−1),a1=9
Answer:
Option 4th is correct.
[tex]a_n = -5 \cdot a_{n-1}[/tex] , [tex]a_1 = 9[/tex]
Step-by-step explanation
The explicit sequence of the geometric sequence is given by:
[tex]a_n = a_1r^{n-1}[/tex] ....[1]
where,
r is the common ratio
n is the number of terms
[tex]a_1[/tex] is the first term
As per the statement:
The explicit rule for a sequence is:
[tex]a_n=9(-5)^{n-1}[/tex]
On comparing [1] we have;
[tex]a_1 = 9[/tex] and r= -5
Recursive formula for the geometric sequence is given by:
[tex]a_n = r \cdot a_{n-1}[/tex] for [tex]n\geq 2[/tex]
Substitute the given values we have;
[tex]a_n = -5 \cdot a_{n-1}[/tex]
Therefore, the recursive rule for the sequence is, [tex]a_n = -5 \cdot a_{n-1}[/tex] , [tex]a_1 = 9[/tex]
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what effect does the value of the coefficient of x^2 have on the graph?
Farmer Fran has some cows and some hens. Between them, they have 52 legs and 38 eyes. How many hens does Farmer Fran have? How many cows does Farmer Fran have?
Im learning Polynomials and we are learning the strategy grouping, can anyone please explain how to group polynomials and maybe give an example :) greatly appreciated
You deposit $1500 in an account that pays 7% annual interest. Find the balance after 2 years when the interest is compounded daily.
The balance after 2 years when the interest is compounded daily is
$1,725.39.
What is Compound Interest?The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.
Given:
P= $1500
R= 7%
T = 2 years
Now, using
A = P[tex](1 + r/n)^{nt[/tex]
A = 1,500.00[tex](1 + 0.07/365)^{(365)(2)[/tex]
A = 1,500.00[tex](1 + 0.00019178082191781)^{(730)[/tex]
A = $1,725.39
Hence, the balance is $1,725.39.
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Which of the following points lies on the graph