An algebraic expression that represents the perimeter of the table is,
⇒ Perimeter = 8w - 4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The width of the dining room table is w feet,
And, the length is 3w - 2 feet,
Now, We know that;
Perimeter of rectangle = 2 (length + Width)
Hence, An algebraic expression that represents the perimeter of the table is,
⇒ Perimeter = 2 (3w - 2 + w)
⇒ Perimeter = 2 (4w - 2)
⇒ Perimeter = 8w - 4
Thus, An algebraic expression that represents the perimeter of the table is,
⇒ Perimeter = 8w - 4
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What is the
range of the function in the graph?
Answer:
Step-by-step explanation:
A resposta é a letra a
Find the lengths of AD, EF, and BC in the trapezoid below.
We know that,
[tex]EF=\dfrac{AD+BC}{2}[/tex]
which is
[tex]x=\dfrac{x-5+2x-4}{2}[/tex]
Now solve for x,
[tex]x=\dfrac{3x-9}{2}[/tex]
[tex]2x=3x-9[/tex]
[tex]x=9[/tex]
Since x is 9, the lengths are,
[tex]AD=x-5=9-5=\boxed{4}[/tex]
[tex]EF=x=\boxed{9}[/tex]
[tex]BC=2x-4=18-4=\boxed{14}[/tex]
Hope this helps :)
Which of the following figures does not have line symmetry?
O
E
NEXT QUESTION
O ASK FOR HELP
Answer:
second figure does not have line symmetry
1st , 3rd , 4th figures have line symmetry
find the surface area of the cylinder and round to nearest tenth HURRY HURRY
Answer:
The original answer is 18.85 and rounded to the nearest tenth is 18.9 ft squared.
Answer:
ok let's get going
surface area of cylinder is
2 pi r h + 2 pi r^2
now given = > h = 2 and r = 2/2 = 1
now what we do is insert in formula
so
2 pi * 1 * 2 + 2 pi 1^2
4pi + 2 pi
6 pi
now solving 6 pi
6 * 3.14 =>
18.84 ft^2
enjoy with ans;) and if u get time makr it brainliest
Find the zero of the polynomial [tex]f(x) = 2x + 3[/tex].
[tex]\\ \sf\longmapsto f(x)=0[/tex]
[tex]\\ \sf\longmapsto 2x+3=0[/tex]
[tex]\\ \sf\longmapsto 2x=-3[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-3}{2}[/tex]
Which is the zero of the polynomial
To find the zeros, equate the given expression to zero ,
[tex]\bf \Large \hookrightarrow \: \: 2x \: + \: 3 \: = \: 0[/tex]
[tex]\bf \Large \hookrightarrow \: \:2x \: = \: - 3[/tex]
[tex]\bf \Large \hookrightarrow \: \:x \: = \: \frac{ - 3}{2} \\ [/tex]
Zero of the polynomial is -3/2
Marina's father's age is triple her age plus her sister's age, knowing Marina is 12 and her father 48, how old is Marina's sister? write the equation, calculate the age of the marina's sister and identify if they are twins
Answer:
Marina's age = 12
Her father's age = 48
triple Marina's age = 12x3
= 36
The age of Marina's sister
= 48-36
= 12
Therefore, Marina's sister's age is 12
Answer:
no
Step-by-step explanation:
According to the graph of the rational function y equals 4 over the quantity x squared minus 4 end quantity which of the following statements is/are true? The function is even. The function is increasing for all values in the domain. There is a horizontal asymptote along the x-axis. I only I and II only I and III only I, II, and III
Using function concepts, it is found that the correct options are:
I and III only
--------------------------------
The function is:
[tex]y = \frac{4}{x^2 - 4}[/tex]
--------------------------------
Statement 1:
A function is even if: [tex]f(x) = f(-x)[/tex]
We have that:
[tex]f(x) = \frac{4}{x^2 - 4}[/tex]
[tex]f(-x) = \frac{4}{(-x)^2 - 4} = \frac{4}{x^2 - 4} = f(x)[/tex]
Since [tex]f(x) = f(-x)[/tex], the function is even, and the statement is true.
--------------------------------
Statement 2:
The function increases when: [tex]f^{\prime}(x) > 0[/tex]
The derivative is:
[tex]f^{\prime}(x) = \frac{-8x}{(x^2-4)^2}[/tex]
The denominator is always positive, but the numerator can be both positive/negative, which means that when the numerator is negative(x > 0), the derivative will be negative, thus the function will decrease and the statement is false.
--------------------------------
Statement 3:
A horizontal asymptote is given by:
[tex]y = \lim_{x \rightarrow \infty} f(x)[/tex]
In this question:
[tex]y = \lim_{x \rightarrow \infty} \frac{4}{x^2 - 4} = \frac{4}{\infty - 4} = \frac{4}{\infty} = 0[/tex]
y = 0 is the x-axis, thus, the statement is true, and the correct option is:
I and III only
A similar problem is given at https://brainly.com/question/23535769
Answer:
I and III
Step-by-step explanation:
If f(x) = x/2 -3 and g(x) = 3x2 +x-6 find (f+g) (x)
Answer:
A
Step-by-step explanation:
(f+g)(x)=f(x) + g(x)=(x/2)-3+3x^2+x-6=3x^2+(3/2)x-9
In a high school graduating class of 300, 200 students are going to college, 40 are planning to work full-time, and 80 are taking a gap year.
a. These are mutually exclusive events.
b. These are not mutually exclusive events.
c. You should add their individual probabilities.
d. None of the above are true.
Find an equation for the perpendicular bisector of the line segment whose endpoints are ( − 1 , − 1 ) (−1,−1) and ( 9 , 7 ) (9,7)
Answer:
Place the compass at one end of line segment.
Adjust the compass to slightly longer than half the line segment length.
Draw arcs above and below the line.
Keeping the same compass width, draw arcs from other end of line.
Place ruler where the arcs cross, and draw the line segment.
Answer:
y = - [tex]\frac{5}{4}[/tex] x + 8
Step-by-step explanation:
The perpendicular bisector intersects the line segment at its midpoint and is perpendicular to it.
Using the midpoint formula
M = ( [tex]\frac{x_{}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (9, 7)
midpoint = ( [tex]\frac{-1+9}{2}[/tex], [tex]\frac{-1+7}{2}[/tex] ) = ( [tex]\frac{8}{2}[/tex], [tex]\frac{6}{2}[/tex] ) = (4, 3 )
Calculate the slope using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (9, 7)
m = [tex]\frac{7-(-1)}{9-(-1)}[/tex] = [tex]\frac{7+1}{9+1}[/tex] = [tex]\frac{8}{10}[/tex] = [tex]\frac{4}{5}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] , then
y = - [tex]\frac{5}{4}[/tex] x + c ← is the partial equation
To find c substitute (4, 3) into the partial equation
3 = - 5 + c ⇒ c = 3 + 5 = 8
y = - [tex]\frac{5}{4}[/tex] x + 8 ← equation of perpendicular bisector
What are the factors of 60 ???
Answer:
Factors are 1,2,3,4,5,6,10,12,15,20,30,60
Step-by-step explanation:
Hope this helps
Factors refers to those numbers which muntiplied that no.here, numbers that muntiply 60 are 1,2,3,4,5,6,10,12,15,20,30,60.
thus these numbers are factors of 60.
convert 16,000 feet per second into kilometres per hour
Answer:
?
Step-by-step explanation:
Brainly challenge
Find the missing side length. Leave your answers radical in simplest form. PLEASE HURRY
Answer:
y=8 and x=8 ✔3. the check is meant to be square root symbol lol
Which of the following statements justifies why the triangle shown below is
not a right triangle?
A. BC
B. BC + AC < AB
C. 62 +112 +152
D. AC< AB
Answer:
Option C
Step-by-step explanation:
As per Pythagorean theorem
[tex]\\ \sf\longmapsto 6^2+11^2=15^2[/tex]
[tex]\\ \sf\longmapsto 36+121=225[/tex]
[tex]\\ \sf\longmapsto 157\neq225[/tex]
So
[tex]\\ \sf\longmapsto 6^2+11^2\neq 15^2[/tex]
a 800g boulder has a density of 8g/cm^3. What is the volume of the boulder?
Answer:
Below
Step-by-step explanation:
You can use this formula to calculate the volume of an object
Volume = Mass / Density
Plugging everything in...
Volume = 800g / 8 g/cm^3
= 100 cm^3
Hope this helps!
The volume of the boulder will be equal to 100 cubic centimeters.
What are volume and density?A substance's density is defined as its mass per unit volume. The density in other words can be defined as the ratio of mass and volume. Its unit will be kg per cubic meter.
The volume is defined as the space occupied by an object in three-dimensional geometry.
It is given that an 800g boulder has a density of 8g/cm^3. The volume will be calculated by using the formula below:-
Volume = Mass / Density
Volume = 800g / 8 g/cm^3
= 100 cm^3
Therefore, the volume of the boulder will be equal to 100 cubic centimeters.
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Can someone help please
Answer: it should be A
Step-by-step explanation:
Review the example argument and reasoning below. Identify the form (inductive or deductive) of reasoning and the type (example, analogy, causal correlation, syllogism, sign, or causal generalization) of reasoning Raul uses to justify his argument. Then, apply the three tests of argumentative reasoning (quantity, quality, & opposition) to test this argument.
Raul believes that if someone’s eyes shift to the left when they are responding to a question it is evidence that they are lying. While interviewing Michael, Raul notices Michael's eyes shifting to the left frequently when answering questions. Later, Raul tells a coworker that Michael was not hired because Raul believed Michael had lied about his previous experience during the interview.
Answer:
inductive - . Inductive reasoning makes broad generalizations from specific observations.
casual correlation
quality ( i think)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
i just did it
Verify the identity algebraically:
Csc(-x)tanx =-secx
Step-by-step explanation:
Recall that
[tex]\sin(-x) = -\sin x[/tex]
Therefore,
[tex]\csc(-x) = \dfrac{1}{\sin(-x)} = -\dfrac{1}{\sin x}[/tex]
so
[tex]\csc(-x)\tan x = \left(-\dfrac{1}{\sin x}\right)\left(\dfrac{\sin x}{\cos x}\right)[/tex]
[tex]\:\:\:\:\:\:\:\:\:= -\dfrac{1}{\cos x} = -\sec x[/tex]
NEED ANSWER ASAP!!!!
Answer:
y=4x+64
Step-by-step explanation:
The slope intercept form is y=mx+b, m being the slope and b being the y-intercept
The line intersects the y axis at (0, 64), so the y intercept is 64
To find the slope, find the change in y over the change in x
The y decreases by 16 every time the x increases by 4
SO the slope is 16/4, simplified to 4
y=4x+64
In a fruit punch drink, the 3
ingredients are apple juice, orange
juice and cranberry juice. If 1/4 of the
drink is apple juice and2/5 is orange
juice then write the ratio of
cranberry juice to apple juice to
orange juice in its simplest form.
Answer:
question is confusing
Sandy used these rules to write a 6-digit number.
• 3 in the tens place
• 6 in the hundreds place
1 in the thousands place
• 8 in the ten thousands place
4 in the ones place
• 2 in the hundred thousands place
.
What number did she write?
A. 281,634
B. 361.842
C. 681,234
D. 864,321
9514 1404 393
Answer:
A. 281,634
Step-by-step explanation:
You can identify the number after the first two "rules".
Choices A and C have 3 in the tens place.
Choice A has 6 in the hundreds place.
John runs a computer software store. Yesterday he counted 140 people who walked by the store, 63 of whom came into the store. Of the 63, only 25 bought something in the store.
(a) Estimate the probability that a person who walks by the store will enter the store. (Round your answer to two decimal places.)
(b) Estimate the probability that a person who walks into the store will buy something. (Round your answer to two decimal places.)
(c) Estimate the probability that a person who walks by the store will come in and buy something. (Round your answer to two decimal places.)
(d) Estimate the probability that a person who comes into the store will buy nothing. (Round your answer to two decimal places.)
Answer:
.................
Step-by-step explanation:
............
PLEASE HELP!!! ITS DUE TONIGHT!!!!!
YOUR ASSIGNMENT: Difference of 10
Erik and Nita are playing a game with numbers. In the game, they each think of a random number from 0 to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers is greater than 10, then Nita wins. Use the information in the interactive and what you know about absolute value inequalities to better understand the game.
Your Player
1. Choose your player, and record the number chosen by the other player. (2 points: 1 point for each answer)
a. Which player did you select?
b. What number did the other player pick?
Modeling Ways to Win
2. Should you use an equation or an inequality to represent the ways your player can win? Why? (2 points: 1 point for an answer, 1 point for an explanation)
3. Imagine that Erik chose a 4 and Nita chose a 12. Would the winner be different if Nita chose the 4 and Erik chose the 12? (2 points: 1 point for an answer, 1 point for an explanation)
4. Is it appropriate to use an absolute value inequality to represent how a player wins this game? Why? (2 points: 1 point for an answer, 1 point for an explanation)
5. If your player is Erik, write an inequality that shows all of the ways that Erik will win if Nita chooses 7. If your player is Nita, write an inequality that shows all of the ways that Nita will win if Erik chooses 17.
Be sure to define your variable. (3 points: 1 point for defining the variable, 2 points for the correct inequality)
6. In order to graph your solutions, solve for the variable. Be sure to show your work. (2 points)
7. Sketch a graph of your solutions. (2 points: 1 point for endpoints, 1 point for the correct region)
Forming a Strategy and a New Rule
8. What is the range of numbers that will win the game for your player?
If your player is Erik, assume that Nita chooses 7.
If your player is Nita, assume that Erik chooses 17.
(Hint: Remember that Erik and Nita can choose only numbers from 0 to 20, inclusive.) (2 points)
9. Graph all the possible numbers that either player could pick. Compare this graph with your answer in question 8.
If your player is Erik, and Nita chooses 7, does Erik have a good chance of winning?
If your player is Nita, and Erik chooses 17, does Nita have a good chance of winning?
Explain your answer. (3 points: 1 point for the correct graph, 2 points for the explanation)
Answer:
it is too long send me link of it
Answer: Choose your player, and record the number chosen by the other player. (2 points: 1 point for each answer) a. Which player did you select? Erik, assume that Nita chooses 7. b. What number did the other player pick? 17
2. Should you use an equation or an inequality to represent the ways your player can
win? Why? (2 points: 1 point for an answer, 1 point for an explanation)
An algebraic statement that represents all the ways Eric will wins is
where
be the number that Eric thi
3. Imagine that Erik chose a 4 and Nita chose a 12. Would the winner be different if
Nita chose the 4 and Erik chose the 12? (2 points: 1 point for an answer, 1 point for
an explanation)
no because both nita and eric won. eric with a number less than than 10
and nita with a number more than 10.
4. Is it appropriate to use an absolute value inequality to represent how a player wins
this game? Why? (2 points: 1 point for an answer, 1 point for an explanation)
they win it remains positive the negative will be losses which will be changed due to
absolute value
5. If your player is Erik, write an inequality that shows all of the ways that Erik will win
if Nita chooses 7. If your player is Nita, write an inequality that shows all of the ways
that Nita will win if Erik chooses 17.
Be sure to define your variable. (3 points: 1 point for defining the variable, 2 points for
the correct inequality)
Step-by-step explanation:
Brief and easy(if possible) explanation on how to do these?
Answer:
linear pairs are supplement which means it always equals to 180°
What is the factored form of the binomial expansion x3 + 9x2 + 27x + 27?
(x + 3)3
(x - 3)3
(x + 9)3
(X - 9)3
Answer:
A
Step-by-step explanation:
the factored form of the binomial expansion x^3 + 9x^2 + 27x + 27 is (x+3)^3
A Circuit has a 5000 V power supply(AC), A load resistance of 4 ohms and open switch how much Current will flow in a circuit as it is ?
Answer:
1250 amps
Step-by-step explanation:
V = 5000 V
R = 4 ohms
Use ohms law: V = IR
5000 =I(4)
I = 1250 amps
Adding Fractions: What is 9/8 + 5/6? I would like an explanation for mebecause I am confused about this problem, it will be nice if someone explained it to me. Thanks!
Answer:
4/3
Step-by-step explanation:
just do the lcm of denomination and after that start solving
9514 1404 393
Answer:
1 23/24
Step-by-step explanation:
Fractions can be added when they have the same denominator. Then the addition is performed by adding the numerators, and expressing the sum over the common denominator.
Here, your fractions have denominators of 8 and 6. Usually, we want to find a "least common denominator" to use to express the fractions. There are various ways to find that value. One of the easiest is to consult your memory of multiplication tables to find the smallest number that both a multiple of 8 and a multiple of 6. That number is 24.
An equivalent fraction is one that has the same value, but a different denominator than the one it is being compared to. Equivalent fractions can be made by multiplying by "1" in the form of "a/a" where "a" is any non-zero value. Here, it is useful to multiply 9/8 by 3/3 to make the equivalent fraction 27/24, which has a denominator of 24.
Similarly, we can multiply 5/6 by 4/4 to get the equivalent 20/24, which also has a denominator of 24.
These two fractions can now be added:
[tex]\dfrac{9}{8}+\dfrac{5}{6}=\dfrac{27}{24}+\dfrac{20}{24}=\dfrac{27+20}{24}=\dfrac{47}{24}[/tex]
If you want to turn this into a "mixed number", you need to find how many times 24 goes into 47: 47÷24 = 1 remainder 23. The quotient is the integer part of the mixed number; the remainder is the numerator of the fractional part. Then the mixed number value of the sum is ...
[tex]\dfrac{47}{24}=1\dfrac{23}{24}[/tex]
_____
Additional comments
The product of the denominators can always serve as a common denominator. That may not be the "least" common denominator. If you use that here, you would have ...
[tex]\dfrac{9}{8}+\dfrac{5}{6}=\left(\dfrac{9}{8}\cdot\dfrac{6}{6}\right)+\left(\dfrac{5}{6}\cdot\dfrac{8}{8}\right)=\dfrac{54+40}{48}=\dfrac{94}{48}[/tex]
This result can be reduced by removing a factor of 2 from numerator and denominator to give 47/24, the sum we had above.
The "least common denominator" (LCD) is the Least Common Multiple (LCM) of the denominators. It can be found by forming the product of the unique factors of the denominators. Here, we have 8 = 2·2·2 and 6 = 2·3. The LCD is the product 2·2·2·3. We recognize that 2³ and 3 are unique factors that need to contribute to the LCD. 2 is subsumed by 2³.
As you can see from the factoring, 2 is a common factor of both numbers. Another way to find the LCD (or LCM of the denominators) is to form their product (8×6 = 48) and divide that by the greatest common factor (GCF), which is 2. (48/2 = 24, the LCD) Sometimes it is easier to find the GCF and compute (product/GCF) than to find the LCM using factoring.
__
If you don't mind the possibility of having to reduce the resulting fraction, the sum of fractions can always be computed as ...
[tex]\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}[/tex]
This formula computes 94/48 as the sum of these fractions, effectively leaving out the middle step (9/8×6/6 +...) shown in the work above. I find this especially useful for adding rational expressions, not just numerical fractions.
:) (8x2 + 7y2 – z2 + 2yz + 3xz - 5xy) (2x – 3y) slove this in vertical method
Step-by-step explanation:
8x² + 7y² - z² + 2yz + 3xz - 5xy
x 2x - 3y
-----------------------------------------------
-24x²y - 21y³ + 3yz² - 6y²z - 9xyz + 15xy²
+ 16x³ + 14xy² - 2xz² + 4xyz + 6x²z - 10x²y
-----------------------------------------------------------
16x³-21y³-34x²y+6x²z+29y²x-6y²z-2xz²+3yz²-5xyz
Business/multivariable calc question
help needed asap!!!!
Answer:
There is a min value of 800 located at (x,y) = (16, 12)
==========================================================
Explanation:
Let's solve the second equation for y
4x+3y = 100
3y = 100-4x
y = (100-4x)/3
We'll plug that into the first equation
f(x,y) = 2x^2+2y^2
g(x) = 2x^2+2((100-4x)/3)^2
g(x) = 2x^2+(2/9)*(100-4x)^2
g(x) = 2x^2+(2/9)*(10,000-800x+16x^2)
This graphs a parabola that opens upward, due to the positive leading coefficient. This g(x) curve has its vertex point at the minimum.
Apply the derivative to help find the minimum
g(x) = 2x^2+(2/9)*(10,000-800x+16x^2)
g ' (x) = 4x+(2/9)*(-800+32x)
------------------------
Set the derivative function equal to 0 and solve for x
g ' (x) = 0
4x+(2/9)*(-800+32x) = 0
4x+(2/9)*(-800)+(2/9)*(32x) = 0
4x-1600/9+(64/9)x = 0
9(4x-1600/9+(64/9)x) = 9*0
36x-1600+64x = 0
100x-1600 = 0
100x = 1600
x = 1600/100
x = 16
Use this x value to find y
y = (100-4x)/3
y = (100-4*16)/3
y = (100-64)/3
y = 36/3
y = 12
-----------------------
Therefore, (x,y) = (16,12) leads to the largest value of f(x,y) = 2x^2+2y^2
That smallest f(x,y) value is...
f(x,y) = 2x^2+2y^2
f(16,12) = 2*16^2+2*12^2
f(16,12) = 800
What is the value of x?
Answer:
x=30°
hopefully this answer can help you to answer the next question
