The factors of the given monomial are given below
What is a monomial?
A monomial is, broadly speaking, a polynomial with just one term in mathematics. There are two definitions of a monomial: A monomial, often known as a power product, is a product of powers of variables with nonnegative integer exponents, or a product of variables with repeats. The constant 1 is a monomial, which means that it is equivalent to the empty product and to for any variable x. If just one variable, x, is examined, a monomial is either 1 or a power xn of x, where n is a positive integer. If many variables, say x,y,z, are examined, each can be assigned an exponent, such that each monomial has the form xaybzc with a,b,c non-negative integers.
The factors of the monomial 16x²y are 2.2.2.2.x.x.y
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The factors of the monomial are given below
What is a monomial?
A monomial is, broadly speaking, a polynomial with just one term in mathematics. there are two definitions of a monomial: A monomial, often known as a power product, is a product of powers of variables with nonnegative integer exponents, or a product of variables with repeats. The constant 1 is a monomial, which means that it is equivalent to the empty product and to for any variables x. If just one variable, x, is examined, a monomial is either 1 or a power xn of x, where n is a positive integer, if many variables, say x, y, z, are examined, each can be assigned an exponent, such that each monomial has the form xaybzc with a, b, c non-negative integers.
The factors of the monomial 16x²y are 2.2.2.2.x.x.y
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Write the sentence as an equation.
y decreased by 283 is equal to 48
Answer:
y - 283 = 48
Step-by-step explanation:
y decreased by 283 means that 283 is subtracted from y. All set equal to 48.
p=2a+c, solve for c.
The given equation is expressed as
[tex]\begin{gathered} p\text{ = 2a + c} \\ To\text{ solve for c, we would subtract 2a from both sides of the equation. It becomes} \\ p\text{ - 2a = 2a - 2a + c} \\ p\text{ - 2a = c} \\ c\text{ = p - 2a} \end{gathered}[/tex]Please help ASAP for 20 Points! and a brainliest!
You are running a fuel economy study. You want
to find out which car can travel a greater distance
on 1 gallon of gas.
a. What is the gas mileage, in miles per gallon,
for the blue car?
b. What is the gas mileage, in miles per gallon,
for the silver car?
c. Which car could travel the greater distance
on 1 gallon of gas?
Thank you!
Answer:
a) gas mileage of blue car: 23.667 miles/gallonb) gas mileage of silver car: 34 miles/gallonc) The silver car would travel a greater distance on 1 gallon than the blue car.Step-by-step explanation:
a) gas mileage of blue car:gas mileage = miles covered/gallons used
but:
miles covered = [tex]35\frac{1}{2}[/tex]
= 35.5
gallons used = 1[tex]\frac{1}{2}[/tex]
= 1.5
gas mileage = 35.5/1.5
gas mileage = 23.667 miles/gallon (to 3 decimal places)
b) gas mileage of silver car:gas mileage = miles covered/gallons used
but:
miles covered = [tex]27\frac{1}{5}[/tex]
= 27.2
gallons used = [tex]\frac{4}{5}[/tex]
= 0.8
gas mileage = 27.2/0.8
gas mileage = 34 miles/gallon
c)
gas mileage of blue: 23.667 miles/gallon implies the blue car will travel 23.667 miles on 1 gallon
gas mileage of silver: 34 miles/gallon implies the silver car will travel 34 miles on 1 gallon
Hence the silver car would travel a greater distance on 1 gallon than the blue car.
Here are some ingredients for bolognaise sauce 400g of minced beef 800g of tomato sauce 300 ml stock 300ml red wine. julia has 300g of minced beef. how much of the other ingredients does she need
Answer:
Step-by-step explanation:
she would have to use 3/4 of the ingrediants to the 400g of minced beef.
tomato sauce would be 600g
stock would be 225g
and red wine would be 225g
The quantity of chopped tomatoes is 600 g, of stock is 225 ml, and of red wine is 225 ml if Julie only has 300 g of minced beef.
The ratio is the comparison of two quantities to determine how frequently one quantity obtains the other. It can be shown as a fraction between two numbers.
Quantity of minced beef = 400 g
Quantity of chopped tomatoes = 800 g
Quantity of stock = 300 ml
Quantity of red wine = 300 ml
Taking ratios of all the quantities, we get:
minced beef: chopped tomatoes:stock: red wine
= 400:800:300:300
= 100:200:75:75 ( Dividing by 4, as a common factor)
Multiplying the above ratio by three to make the quantity of minced beef 300 g
= 300:600:225:225
Thus, the quantity of chopped tomatoes is 600 g, the quantity of stock is 225 ml, and the quantity of red wine is 225 ml if Julie only has 300 g of minced beef.
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Deshaun is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges $84 and allows unlimited mileage.
Company B has an initial fee of $75 and charges an additional $0.60 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Step-by-step explanation:
Deshaun is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges $84 and allows unlimited mileage. Company B has an initial fee of $75 and charges an additional $0.60 for every mile driven. For what mileages will Company A charge less than Company B? (Use m for the number of miles driven, and solve your inequality for m.)
inequality: 0.6m + 75 < 84
subtract 75 from both sides:
0.6m + 75 - 75 < 84 - 75
0.6m < 9
divide both sides by 0.6:
0.6m/0.6 < 9/0.6
m < 15
SO:
For anything less than 15 miles, Company A charges less than Company B.
Determine whether each triangle below will form a unique triangle, no triangle or more than one triangle based on the criterion given.
Answer:
A: A unique triangle
B: A unique triangle
C: More than a triangle
The rectangular waiting area for a popular amusement park ride is covered by a large sun canopy. The total area of the canopy, in square feet, is 100 square feet more than twice the area where guests wait.
Which equation could you use to find the area of the place where guests wait for the ride if the area of the canopy is 7,600 square feet?
The equation which can be used to find the area of the place where guests wait for the ride if the area of the canopy is 7600 square feet is:
2a+100=7600.
Given, The rectangular waiting area for a popular amusement park ride is covered by a large sun canopy.
The total area of the canopy, in square feet, is 100 square feet more than twice the area where guests wait.
let the area of the place where guests wait be represented by 'a'.
the canopy covers the area = 2a + 100
total area of the canopy = 7600
equation used to find the area of the place where guests wait for the ride if the area of the canopy is 7,600 square feet = ?
⇒ 2a + 100 = 7600
arrange the like terms.
⇒ 2a = 7600 - 100
calculate the difference.
⇒ 2a = 7500
⇒ a = 7500/2
⇒ a = 3750
Hence the area of the place where guests wait is 3750 square feet.
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What is the area, in square centimeters, of the shaded part of the rectangle shown below
Answer:100 cm
Step-by-step explanation: first, you would find the area of the whole rectangle.
L x W = A
10x14=140
Next, find the area of the unshaded part. To do this, you would subtract 6 from 14
14-6=8
After that, times 8 by 10, then divide by 2
10x8=80
80÷2=40
Take 40 and subtract it from the area of the whole rectangle
140-40=100
Help!!, its a math question... it TIMED! The question is in the pic...
I think
Answer:
23
Step-by-step explanation:
Isolate the variable. Divide each variable
A scientist has 2 3rd liter of solution. He uses 1 halfof the solution for an experiment. Howmuch solution does the scientist use forthe experiment?
SOLUTION
The total amout of solution given is
[tex]\frac{2}{3}\text{liter}[/tex]From thequestion, 1/2 of the solution is used, then the amount of solution used for the experiment will be
[tex]\frac{2}{3}\times\frac{1}{2}=\frac{2\times1}{3\times2}=\frac{2}{6}=\frac{1}{3}\text{liters }[/tex]Hence
The amount of solution the scientist use is 1/3 litres
A segment MN has endpoints M(-7.-6) and N(7,7). Find the coordinates of partition point P that divides the segment into a 5:2 ratio.
A segment MN has endpoints M(-7.-6) and N(7,7). Find the coordinates of partition point P that divides the segment into a 5:2 ratio.
___________________________
Find the coordinates of partition point P that divides the segment into a 5:2 ratio.
5:2 means that it is divided into 7, and we do not move two positions from (7,7)
X axis
7- (-7) = 14
14/7 = 2
7-2*2 = 3
Y axis
7-(-6)= 13
13/7 =
7 - 2* (13/7) = 49/7 - 26/ 7 = 23/7 = 3 2/7
______________________________
Answer
(3, 3 2/7)
If the sum of a number and seven is tripled, the result is eight times a number.
Step 1: Represent a with an unknown
Let a number be x
Step 2: Represent the given information with an equation
From the first statement, the sum of a number and seven is tripled can be represented with the equation below:
[tex](x+7)\times3[/tex]The second statement reflects that the result of the first statement is eight times a number. Eight times a number is
[tex]8\times x=8x[/tex]The result of the first statement and the second statement is
[tex](x+7)\times3=8x[/tex][tex]3x+21=8x[/tex]Step 3: Solve for the unknown
The solution of the unknown is as shown below:
[tex]\begin{gathered} 3x+21=8x \\ \text{collect like-terms} \\ 21=8x-3x \\ 21=5x \\ \text{divide through by 5} \\ \frac{21}{5}=\frac{5x}{5} \\ \frac{21}{5}=x \end{gathered}[/tex][tex]\begin{gathered} \frac{21}{5}=x \\ x=\frac{21}{5} \\ \operatorname{Re}-\text{write as a mixed fraction} \\ x=4\frac{1}{5} \end{gathered}[/tex]Hence, the number is 4 1/5
Name the object below.
Thank you :’)
Answer:
The answer is option A.
General MathematicsProblem:What sum would have to be invested at 9% conpounded annually to provide an ordinary annuity at ₱8,000 per year for 5 years?
Given that a future value annuity of 8,000 is accrued at 9% compounded annually, the present value of the annuity is evaluated as
[tex]\begin{gathered} PV=P(\frac{1-(1+r)^{-n}}{r})\text{ ----- equation 1} \\ \text{where } \\ PV\text{ }\Rightarrow present\text{ value of the annuity} \\ P\Rightarrow value\text{ of each payment} \\ r\Rightarrow interest\text{ rate} \\ n\Rightarrow period \end{gathered}[/tex]Thus,
[tex]\begin{gathered} P=8,000 \\ r=9\text{\%}=\frac{9}{100}=0.09 \\ n=5 \\ PV\text{ is unknown} \\ \end{gathered}[/tex]Substitute the above value into equation 1, to solve for PV
[tex]\begin{gathered} PV\text{ = 8000(}\frac{1-(1+0.09)^{-5}}{0.09}) \\ \Rightarrow8000\times\frac{1-1.09^{-5}}{0.09} \\ =31117.21 \end{gathered}[/tex]Hence, the sum to be invested is 31117.21
Learning target: I can calculate the surface area of 4 ( width) cm and 20 (height) cm
Answer:
20 times 4
Step-by-step explanation:
suricce area
Whats the answer to x + 23 12
A.8
B.-11
C.-6
D.6
Answer:
-11
Step by step explanation:
-11+23=12
two students each use a random number generator to pick an integer between 1 and 8 inclusive. what is the probability that they pick the same number? (enter your answer as a fraction.)
The probability that they pick the same number is 1/8.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
As given two students each use a random number generator to pick an integer between 1 and 8 inclusive.
So, the possible choices are,
8 - 1 + 1 = 8 Possible choices: 1, 2, 3, 4, 5, 6, 7, 8.
So, the probability is, 1/8.
Therefore, the probability that they pick the same number is 1/8.
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one student from the school will be selected at random. what is the probability that the student is in the age-group of 6 to 8 years given that the selected student responded joy?
Given that the chosen kid gave a joy response, the probability that the student belongs to the age range of 6 to 8 years is 28/89.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.So, the likelihood that a pupil is between the ages of 6 and 8 can be calculated using the techniques below:
Step 1: 89 pupils out of a possible 200 answered with joy, as shown in the table.Step 2 - It is also stated that there were a total of 28 students in the age range of 6 to 8 years who answered positively.Step 3 - Accordingly, the likelihood that the pupil belongs to the 6 to 8-year-old age range is:P = 28/89
Therefore, given that the chosen kid gave a joy response, the probability that the student belongs to the age range of 6 to 8 years is 28/89.
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The complete question is given below:
Students at a local elementary school were shown a painting and asked which emotion—joy, happiness, love, or anger—they felt by looking at the painting. The students were classified by their age. The following table summarizes the responses of the students by age group. One student from the school will be selected at random. What is the probability that the student is in the age group of 6 to 8 years given that the selected student responded with joy?
What’s the answer pls
If I'm not mistaken, the answer is 43.17
HELP PLS ITS DUE TONIGHT
Answer:
1. 12
2. 4:5
3. 5
4. 30
5. 42
6. 15
7. 36
8. 1120
9. 10 2/3
Step-by-step explanation:
Answer:
In photo
Step-by-step explanation:
Solve system of equation by substitution
7y=-2x+5
3x+10y=6
Answer:
x= -8/41
y= 27/41
Step-by-step explanation:
7y=2x+5
3x+10y=6
maybe divide all parts of first equation by 7 to leave y by itself: y=2/7x+5/7
Then plug that in for y in the second equation:
3x+10(2/7x+5/7)=6
Then just solve for x:
x= -8/41
Substitute value of x into first equation:
7y=2(-8/41)+5
Solve for y:
y=27/41
In systems of equations, the values of x and y are -8 and 3, respectively.
Given systems of equations are:
7y=-2x+5 .....(i)
3x+10y=6 .....(ii)
We want both equations to be in standard form (Ax + By = C) so we need to fix the first equation.
For the equation (i), simply add 2x from both sides, so that x & y are on the same side of the equal sign
2x + 7y = 5 .....(i)
3x + 10y = 6 .....(ii)
To get the same x value in both equations (i) and (ii), we must now multiply equation (i) by 3 and equation (ii) by 2.
3(2x + 7y = 5) .....(i)
2(3x + 10y = 6) .....(ii)
Simplify.
6x + 21y = 15 .....(i)
6x + 20y = 12 .....(ii)
Now, subtract equations (ii) from (i)
y = 3
Now, substitute value of y = 3 in equation (i).
2x + 7y = 5 .....(i)
2x + 7(3) = 5
2x + 21 = 5
Then, subtract 21 from both sides.
2x + 21 - 21 = 5 - 21
2x = - 16
Divide both sides by 2.
2x / 2 = - 16 / 2
x = -8
So, x = -8 & y = 3
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4x^2 -18x-5 factored form by grouping
4x² - 18x - 5 cannot be factored by grouping.
How to factor quadratic equations?Factoring a polynomial involves writing it as a product of two or more polynomials.
In other words, it is a process of finding the factor.
Therefore, let's factor the quadratic equation as follows:
4x² - 18x - 5
Factorization by grouping means that we need to group the terms with common factors before factoring.
The grouping method can be used to factor polynomials whenever a common factor exists between the groupings.
Hence,
4x² - 18x - 5 cannot be factorise by grouping because it has no common factor.
in other word, we cannot, however, use the grouping method to factor 4x² - 18x - 5 because factoring out the GCF from both groupings does not yield a common factor.
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How do the laws of exponents apply to algebraic expressions
The laws of exponents are useful to solve algebraic expression as shown below.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
The laws of exponents (sometimes referred to as the rules of exponents) allow us to simplify expressions by using our understanding of what an exponent implies.
The goal is to write algebraic expressions as simply as you can in both situations.
Recall that an exponent indicates the number of times to multiply a number, variable, or expression by itself.
[tex]x^4=x \cdot x\cdot x\cdot x[/tex]
and, [tex](x+5)^3=(x+5)(x+5)(x+5)[/tex]
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HELP ASAP PLSSSPLSPSLPSLPLSS
Given f(x) = 3x − 4 and g(x) = f(2x), which table represents g(x)?
The values of g(x) at x = 1, 2 and 3 are 2, 8 and 14 respectively.
Which table contains the values of g(x)?
Since f(x) = 3x - 4 and g(x) = f(2x)
so, in f(x) = 3x - 4, we can replace x with 2x:
g(x) = f(2x) = 3(2x) - 4 = 6x - 4
when x = 1:
g(x) = 6(1) - 4
= 6 - 4 = 2
when x = 2:
g(x) = 6(2) - 4
= 12 - 4 = 8
when x = 3:
g(x) = 6(3) - 4
= 18 - 4 = 14
Therefore, when x = 1, 2 and 3, their corresponding values of g(x) are 2, 8 and 14. So 4th table contains the values of g(x).
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Answer: D
Step-by-step explanation: I Chose D and got it right for my quiz.
The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a fraction in simplest form.
The identified scale factor of the triangles is 71 / 37.
How to find the scale factor of similar triangles?Scale factor is the ratio of corresponding sides on two similar figures.
The triangles are similar. Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Therefore, let's identify the scale factor of the triangles.
The triangle on the right is a scale copy of the triangle on the left.
Hence,
scale factor = 71 / 37 = 71 / 37
Therefore, the scaled factor of the triangles in fraction form is 71 / 37
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Recall that the formula for the area of a rectangle is, A = l×w where l represents the length of the rectangle and w represents its width.
Find the area of a rectangle that has a length of 3.5 centimeters and a width of 2.2 centimeters. The answer is 7.7
Using the formula for the area of a rectangle is, A = l×w where l represents the length of the rectangle and w represents its width, the area of a rectangle with the length of 3.5 centimeters and a width of 2.2 centimeters will be 7.7 cm^2.
What is the area of a rectangle?The area of the rectangle can be calculated using the formula,
(A = l×w )
and the l = the length of the rectangle
w = represents the width of the rectangle
Then to calculate the area of the rectangle, we can substitute the values that is been given as :
(A = l×w )
A = (2.2 * 3.5) = 7.7 cm^2
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Answer:
7.7
Step-by-step explanation:
The answer was already in the question... He must've edited it or somethin'
Given the 2 statements: "If you study for your test, then you will pass
your test," and "If you passed your test, then you studied for your
test." the biconditional is:
The biconditional statement is "You study for your test if and only if you passed".
What is biconditional statement?
A biconditional statement combines a conditional statement with its opposite expressed in the form of "if and only if."
The given statements are,
"If you study for your test, then you will pass your test" and "you passed your test then you studied for your test".
The biconditional statement is: "You study for your test if and only if you passed".
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The equation of the line that is perpendicular to the line 5x + 6y = 18 and passes through the point (10,7)
Answer:
y = ( 6 / 5 )x - 5;
Step-by-step explanation:
Perpendicular Line Theoryy = - ( 1 / m )x + c;
AlgebraConvert dual intercept to standard form.
5x + 6y = 18;
Subtract 5x from both sides.
6y = - 5x + 18;
Divide both sides by 6.
y = ( - 5x + 18 ) / 6;
y = ( - 5x / 6 ) + ( 18 / 6 );
y = ( - 5 / 6 )x + 3;
Get the perpendicular line.
y = ( 6 / 5 )x + c;
Substitute the point.
7 = ( 6 / 5 )( 10 ) + c;
7 = 12 + c;
Subtract 12 from both sides.
- 5 = c;
c = - 5;
y = ( 6 / 5 )x - 5;
Let f(x) = 2x + 8, 9(x) = x2 + 2x – 8, and h(x) = 3x - 6. Perform the indicated operation. (Simplify as far as possible.) (h. f)(3) = =
x=3
[tex]\begin{gathered} 6\cdot3^2+12\cdot3-48 \\ 6\cdot9+36-48 \\ 54+36-48=42 \end{gathered}[/tex]A dinner set was marked $ 532 and a discount of 12% was offered on its marked price. Find the sale price of the dinner set.
Answer:
$468.16
Step-by-step explanation:
answer key
