Answer:
20x³ + 50x² + 32x + 6Step-by-step explanation:
[tex](4x + 2)(5 {x}^{2} + 10x + 3)[/tex]
Multiply the second parentheses by each term from the first parentheses
[tex]4x( {5x}^{2} + 10 x + 3) + 2(5 {x}^{2} + 10x + 3) [/tex]
Distribute 4x through the parentheses
[tex]20 {x}^{3} + 40 {x}^{2} + 12x + 2(5 {x}^{2} + 10x + 3)[/tex]
Distribute 2 through the parentheses
[tex]20 {x}^{3} + 40 {x}^{2} + 12x + 10 {x}^{2} + 20x + 6[/tex]
Collect like terms
[tex]20 {x}^{3} + 50 {x}^{2} + 32x + 6[/tex]
Hope this helps...
Best regards!!
Write 5 3/7 as an improper fraction.
Answer:
The answer is option A
Step-by-step explanation:
[tex]5 \frac{3}{7} [/tex]
Can be written as
[tex] \frac{38}{7} [/tex]
Hope this helps you
Answer:
38/7
Step-by-step explanation:
question: 5*3/7
we should first cross multiply 5 with 7 and add the 3 to the product.
the formula for solving any question like this is :-
( whole no. multiplied with denominator ) + numerator
denominator
here: (5*7)+3
7
is the graph increasing decreasing or constant
Step-by-step explanation: aumentado pois ele define uma certa quantidade de aumentação
PLEASE HELP ME FAST, PLEASE
Answer:
The temperature order are;
(b) 96.62 K = (d) 96.62 K > (a) 48.31 K = (c) 48.31 K = (e) 48.31 K = (f) 48.31 K
Arrangement in order from highest to lowest and alphabetically gives;
(b) ↔ (d) → (a)↔ (c)↔ (e)↔ (f)
Step-by-step explanation:
From the universal gas equation
P×V = N×k×T
Where:
P = Pressure
V = Volume
N = Number of molecules
k = Boltzmann constant = 1.38 × 10⁻²³ J/K
T = temperature
Therefore;
[tex]T =\dfrac{P \times V}{k \times N}[/tex]
Which gives;
(a) When P = 100 kPa = 100,000 Pa, V = 4 L = 0.004 m³, N = 6 × 10²³, we have
100000*0.004/(6*10^(23)*1.38*10^(-23)) = 48.31 K
(b) When P = 200 kPa = 200,000 Pa, V = 4 L = 0.004 m³, N = 6 × 10²³, we have
200000*0.004/(6*10^(23)*1.38*10^(-23)) = 96.62 K
(c) When P = 50 kPa = 50,000 Pa, V = 8 L = 0.008 m³, N = 6 × 10²³, we have
50000*0.008/(6*10^(23)*1.38*10^(-23)) = 48.31 K
(d) When P = 100 kPa = 100,000 Pa, V = 4 L = 0.004 m³, N = 3 × 10²³, we have
100000*0.004/(3*10^(23)*1.38*10^(-23)) = 96.62 K
(e) When P = 100 kPa = 100,000 Pa, V = 2 L = 0.002 m³, N = 3 × 10²³, we have
100000*0.002/(3*10^(23)*1.38*10^(-23)) = 48.31 K
(f) When P = 50 kPa = 50,000 Pa, V = 4 L = 0.004 m³, N = 3 × 10²³, we have
50000*0.004/(3*10^(23)*1.38*10^(-23)) = 48.31 K
please help immediately
Answer: [tex]f'(1)=\dfrac{4}{2y+1}[/tex]
Step-by-step explanation:
To find the tangent, you need to find the derivative with respect to x.
Then substitute x = 1 into the derivative.
Given: 0 = 2x² - xy - y²
Derivative: 0 = 4x - y' - 2yy'
Solve for y': 2yy' + y' = 4x
y'(2y + 1) = 4x
[tex]y'=\dfrac{4x}{2y+1}[/tex]
[tex]\text{Substitute x = 1:}\quad y'(1)=\dfrac{4}{2y+1}[/tex]
Please Answer ASAP: As storm clouds gathered, the temperature fell 4 degrees in 3/4 of an hour. At what rate was the temperature falling? Simplify your answer and write it as a proper fraction, mixed number, or whole number.
Answer:
[tex]5 \frac{1}{3}[/tex] degrees per hour.
Step-by-step explanation:
If we know that the temperature fell 4 degrees in [tex]\frac{3}{4}[/tex] of an hour, we can set up a proportion to see how much fell in an hour.
[tex]\frac{4}{0.75} = \frac{x}{1}[/tex]
[tex]4 \cdot 1 = 4\\4 \div 0.75 = 5.\overline{33}[/tex]
[tex]5.\overline{33}[/tex] as a fraction is [tex]5 \frac{1}{3}[/tex].
So, the temperature fell at a rate of [tex]5 \frac{1}{3}[/tex] degrees per hour.
Hope this helped!
Answer:
5 1/3
Step-by-step explanation:
Choose the figure that is congruent to the shape labeled with an asterisk (*).
Figure a.
Figure d.
Figure b.
Figure c.
Answer:
figure d is congruent to the figure given above.
The figure that is congruent to the shape labeled with an asterisk (*) will be figure 'd'. Then the correct option is B.
What is a transformation of a shape?Picture, after translation, refers to the object's ultimate organization and placement. From just before the refers to the material's initial condition.
Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.
The figure is the semicircle is rotated, then the orientation of the semicircle is just changed.
Then the figure that is congruent to the shape labeled with an asterisk (*) will be figure 'd'. Then the correct option is B.
More about the transformation of the shape link is given below.
https://brainly.com/question/27224339
#SPJ2
Which expression can be used to find the surface area of the following square pyramid?
Answer:
Step-by-step explanation:
expression for surface area = a² + a √(a²/4+h²)
=4² + 2(4) √(4²/4+5²)
=16 + 8 √(16/29)
= 24 √0.55
= 20.65
suppose a triangle has sides 3,4,and 6. Which of the following must be true?
Answer:
its not a right triangle
Step-by-step explanation:
On a piece of paper, graph yz -2x - 2. Then determine which answer choice
matches the graph you drew.
Answer:
B
Step-by-step explanation:
y≥-2x-2
put x=0,y=0
0≥-2
which is true.
so (0,0) lies on it.
graph is a solid line.
so B satisfies it.
A normal distribution has a mean of 60 and a standard deviation of 2. Determine the z-
score for the data value of 22.
Answer: z score is -19
Work Shown:
x = 22 is the raw score
mu = 60 is the mean
sigma = 2 is the standard deviation
z = (x-mu)/sigma = formula to find z scores
z = (22 - 60)/2
z = -38/2
z = -19
The z score of -19 means we are 19 standard deviations below the mean. Anything beyond 3 standard deviations is often considered unusual/rare as most of the data in the normal distribution is within 3 standard deviations (approximately 99.7% of the distribution)
We can calculate E the amount of euros that has the same value as D u.s dollars using the equation E=17/20D. How many euros have the same value as 1 US dollar? How many US dollars have the same value as 1 euro?
Answer:
You can try substituting the 1's for different variables (E, D) in the formula , to get answers for each.
Which is the factorization of x3 + 8? (x + 2)(x2 – 2x + 4) (x – 2)(x2 + 2x + 4) (x + 2)(x2 – 2x + 8) (x – 2)(x2 + 2x + 8)
Answer:
here the answer is down below
Step-by-step explanation:
Answer:
A (x+2)(x^2-2x+4)
Step-by-step explanation:
just took test
Community Theater Owner A community theater currently sells 200 season tickets at $50 each. In order to increase its season-ticket revenue, the theater surveys its season ticket holders to see if they would be willing to pay more. The survey finds that for every $5 increase in the price of a season ticket, the theater would lose 10 season-ticket holders. What action, if any, should the theater owner take to increase revenue? a. Let n be the number of $5 price increases in the cost of a season ticket. Write an expression for the cost of a season ticket after n price increases, and an expression for the number of season-ticket holders after n price increases. b. Use the expressions from part a to create a revenue function, R (n) , from the survey information. c. Graph the revenue function. Be sure to label the axes with the quantities they represent and indicate the axis scales by showing numbers for some grid lines.
Answer:
the owner should increase prices to increase revenue (up to n=5)a) c(n) = 50+5n; q(n) = 200-10nb) R(n) =50(10+n)(20-n)c) see below for a graphStep-by-step explanation:
a. The cost of a ticket after n price increases of $5 each will be ...
c(n) = 50 +5n
The number of season-ticket holders (q) after n price increases will be ...
q(n) = 200 -10n
__
b. The revenue after n price increases will be ...
R(n) = c(n)·q(n) = (50 +5n)(200 -10n)
R(n) = 50(10 +n)(20 -n)
__
c. See the attachment for a graph
__
d. The theater owner should raise the price of a season ticket to increase revenue. The number of $5 price increases should not exceed 5 if revenue is to increase. Above that number, revenue will decrease.
If y varies jointly with x and z and y=40 when x=10 and z=9 find z when x =55 and y=105
Answer:
z = 189/44
Step-by-step explanation:
The "varies jointly" relationship can be expressed by ...
y = kxz
We can find k from the given values.
40 = k(10)(9)
40/90 = k = 4/9 . . . divide by the coefficient of k
Now we want to find z for given values of x and y. That can be found from ...
y = (4/9)xz
9y/(4x) = z . . . . . multiply by 9/(4x)
Filling in the new numbers, we have ...
z = 9·105/(4·55)
z = 4 13/44 = 189/44 ≈ 4.2954...(repeating 54)
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4). Given these coordinates, what is the length of side AB of this rectangle?
Answer:
5
Step-by-step explanation:
Firstly, I'm not from the USA so I'm not sure if I've understood the question correctly (different phrasing of the question here in the UK), but I hope I've done this right and this helps! :)
Method 1:
I would draw the graph! It makes it easier to visualise. You don't have to do a neat proper graph, just scribble something down. If you then count the number of squares between point A and point B you would get 5.
Method 2:
This is probably a more MATHEMATICAL method, but I think Method 1 or Method 2 are both fine. Since we are only asked about point A and point B, we don't have to think about points C or D. Since this is a rectangle, we know that the line would be straight and would also likely be perpendicular / parallel to the x or y axis. If we compare the coordinates of points A and B, we can see that they both have -6 in them: this shows us that these points are along the same row. So all you have to do is find the difference between the tow other points, i.e. the -8 in A and the -3 in B. -3 minus -8 = 5. So that gives you the length of the side.
I hope this helped, sorry for the lengthy explanation and slightly dodgy vocabulary (?).
Bluey
Answer:
Step-by-step explanation:
You could use distance formula to find the length
A( -8, -6) ; B(-3,-6)
Distance= [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
[tex]AB =\sqrt{(-3-[-8])^{2}+(-6-[-6])^{2}}\\\\=\sqrt{(-3+8)^{2}+(-6+6)^{2}}\\\\= \sqrt{(5)^{2}+0}\\\\= \sqrt{5^{2}}\\[/tex]
AB = 5 units
PLEASE HELP!!! I AM DESPERATE BECAUSE MY CLASS IS IN A FEW MINUTES. Solve using statement reason.
Answer:
Statement 1. P
Reason 1. Theorem: The measure of an external angle of a triangle is equal to the sum of the measures of the remote interior angles.
Statement 2. 132 = 3x + 54
Statement 3. x = 26
suppose y varies inversely with x, and y = 6 when x = 3. Find x when y = 12.
Answer:
1.5
Step-by-step explanation:
[tex]y \: \alpha \: \frac{1}{x} [/tex]
y = k ÷ x
yx = k
y = 6 , x = 3
6 • 3 = k
18 = k
when y = 12 , x = ?
yx = k
12x = 18
x = 18÷12
x = 3/2
x = 1.5
PLEASE HELP NOW!! James had a successful season on his basketball team. He scored a total of 160 points for the season compared to 640 pointer scored by his team as a while. What percentage of the team’s points was james responsible for?
Divide his points by teams points and multiply by 100:
160/640 = 0.25
0.25 x 100 = 25%
He scored 25% of the total points.
Answer:
25%
Step-by-step explanation:
640/140=4
james was responsible for 1/4 of the points which is equal to 0.25 when 1 is divided by 4, which times 10 is equal to 25, so the answer is 25%
Good Luck on whatever your doing!!!
A man flips a coin repeatedly until he obtains a heads. This probability setting describes _______ events. answer quick pls
Answer: I'm sure it describes experimental events? Is that an option? Because he's experimenting by flipping the coin. If not, just contact me! :)
Here and happy to help.
For what values of a the following expressions are true: |a−5|=5−a
Answer:
Whenever [tex]a\leq 5[/tex].
Step-by-step explanation:
We can play around with some numbers and develop some rules for this equation.
Note that the number 5 and -5 are used here, so let's try using 5 as a.
[tex]|5-5| = 5-5\\|0| = 0\\0 = 0[/tex]
So 5 works. Let's try a random number like 3.
[tex]|3-5| = 5-3\\|-2| = 2\\2 = 2[/tex]
Okay, with this info we know that we might be able to develop one rule that [tex]a<5[/tex]. Just to test, let's try 0, -3, and -5.
[tex]|0-5| = 5-0\\|-5| = 5\\5 = 5[/tex]
Zero works.
[tex]|-3 - 5| = 5-(-3)\\|-8| = 8\\8 = 8[/tex]
-3 works.
[tex]|-5 -5| = 5-(-5)\\|-10| = 10\\10 = 10[/tex]
-5 works. Now, this might stop here making the equation [tex]-5 \geq a \leq 5[/tex], so let's test a number outside of -5 - say -20.
[tex]|-20 - 5| = 5-(-20)\\|-25| = 25\\25 = 25[/tex]
Yes! This works, so a works for this equation as long as [tex]a \leq 5[/tex].
Hope this helped!
IF YOU GET ALL OF THESE CORRECT I WILL MARK YOU BRAINIEST:
-What is an ordered pair?
-What is first in an ordered pair, the x-value or the y-value?
-How do you find the distance between two points in a coordinate plane? -What is the distance between (4,3) and (4, -2)?
Answer:
1. an ordered pair is a pair or numbers in a specific order. It's a set of points.
2. The x-value is always first in an ordered pair, y-value second
3. The distance between the points is 5 units
Step-by-step explanation:
1. For example, (x,y)
2. no explanation needed
3.You can find the distance of two points by using the distance formula [tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]. To find the distance between (4,3) and (4,-2), we can plug the points into the distance equation. When solved, we get d=5, so the distance between the two points is 5 units.
hope this helps! please give brainliest!!
An ordered pair is a pair of values. The order in which the values appear is very important, since (x, y) is a whole different thing from (y, x).
The first in an ordered pair is the x-value, since mathematics usually goes by the order of the alphabet: a before b, and x before y.
The distance between two points in a coordinate plane is [tex]d = \sqrt{(x1 - x2)^2 + (y1 - y2)^2}[/tex], which is the distance formula.
The distance between (4, 3) and (4, -2)...
d = [tex]\sqrt{(4 - 4)^2 + (3 - (-2))^2}[/tex] = [tex]\sqrt{0^2 + 5^2}[/tex] = [tex]\sqrt{5^2}[/tex] = plus or minus 5.
Since distance can't be negative, the distance between the coordinates is 5 units.
Hope this helps!i need help i need help
Answer:
H1 H2 H3 H4 H5 H6
T1 T2 T3 T4 T5 T6
Step-by-step explanation:
When we roll a die we get 1,2,3,4,5,6
When get flip a coin get get H or T for heads or tails
The top right lists the possible outcomes, one for the heads or tails and one of the die outcomes
H1 H2 H3 H4 H5 H6
T1 T2 T3 T4 T5 T6
Answer:
H1 H2 H3 H4 H5 H6
T1 T2 T3 T4 T5 T6
Step-by-step explanation:
Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. Which restaurant has the best deal? (I made up these prices!!) Graph the system of equations. (Show your x/y tables) **Use a ruler or your answer will not come out correctly** or Slope- intercept simulation copy and paste
Answer:
[see below]
Step-by-step explanation:
Equation 1:Using 'd' as per drink, and 't' as the total cost:
Golden Corral charges 11 dollars for the buffet. ( + 11 )
They also charge 1 dollar for each drink This could be represented by ' 1d' or 'd'.
So, the Golden Corral deal can be represented by:
t = d + 11
Equation 2:The Western Sizzlin restaurants charge 9 dollars for a buffet. ( + 9 )
They also charge 2 dollars for the drinks. This is represented by '2d'.
The Western Sizzlin deal can be represented by:
t = 2d + 9
Graphing the equations together, Golden Corral's line is less steeper then Western Sizzlin's line.
Therefore, Golden Corral is cheaper and should be the best deal compared to Western Sizziln'.
The value of 2^3 + 4^2 = ___.
━━━━━━━☆☆━━━━━━━
▹ Answer
24
▹ Step-by-Step Explanation
2³ + 4²
= 2 * 2 * 2 → 8
= 4 * 4 → 16
8 + 16 = 24
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
24
Step-by-step explanation:
2³ + 4²
Solve for exponents first.
2³ = 2 × 2 × 2 = 8
4² = 4 × 4 = 16
8 + 16
Addition.
= 24
What conclusion can you make from the information below?
Three cousins (Donna, Marilyn, and Valr) have three different favorite types
of music (classical, pop, and hip-hop).
• Donna does not like classical.
• Valr does not like classical.
Answer:
Marilyn likes classical
Donna and Valr likes either pop or hiphop
What is the graph of the solution to the following compound inequality? –6x – 1 < –25 or 3x + 4 ≤ –5
Answer:
[tex]x>4[/tex] or [tex]x \leq -3[/tex]
Step-by-step explanation:
Given :[tex]-6x -1 < -25[/tex] or[tex]3x + 4 \leq -5[/tex]
Solving first inequality :
[tex]-6x-1<-25[/tex]
Add 1 to both sides
[tex]\Rightarrow -6x-1+1<-25+1\\\Rightarrow -6x<-24\\\Rightarrow 6x>24[/tex]
Divide both sides by 6
[tex]\Rightarrow \frac{6}{6}x>\frac{24}{6}\\\Rightarrow x>4[/tex]
Solving second inequality:
[tex]3x + 4 \leq -5[/tex]
Subtract 4 from both sides
[tex]\Rightarrow 3x+4-4 \leq -5-4\\\Rightarrow 3x \leq -9[/tex]
Divide both sides by 3
[tex]\Rightarrow \frac{3}{3}x \leq \frac{-9}{3}[/tex]
[tex]\Rightarrow x \leq -3[/tex]
So, [tex]x>4[/tex] or [tex]x \leq -3[/tex]
Refer the attached graph
A train traveling at 100 km an hour takes 3 seconds to enter a tunnel and an additional thirty seconds to pass completely through it. Find the length, in kilometers, of the train. Express your answer as a common fraction
The Goodsmell perfume producing company has a new line of perfume and is
designing a new bottle for it. Because of the expense of the glass required to
make the bottle, the surface area must be less than 150 cm2. The company also
wants the bottle to hold at least 100mL of perfume. The design under
consideration is in the shape of a cylinder.
Determine the maximum volume possible for a cylindrical bottle that has a total
surface area of less than 150 cm2. Determine the volume to the nearest 10mL.
Report the dimensions of the bottle and the corresponding surface area and
volume.
PLEASE WILL MARK BRAINLIEST
Given:
It is given that surface area must be less than 150 cm².
Solution:
The Maximum Volume With Total Surface Area Less than 150 cm² is shown in the table.
From the table, it can be concluded that for r=3.00 cm and h=4.95 cm the surface area will be less than 150 cm² and the volume will be the maximum.
[tex]S=2\pi rh+2\pi r^2\\S=2\pi (3)(7.95)+2\pi3^2\\S=93.3+56.5\\S=149.8 \text{ cm}^2[/tex]
Calculate the volume.
[tex]V=\pi r^2h\\V=\pi(3)^2(4.95)\\V=139.96[/tex]
Hence, the required dimensions are r=3.00 cm and h=4.95 cm.
(9,-4); slope =2/3 write the equation of the line
A golfer attempts to hit a golf ball over a valley from a platform above the groun
The functions that models the height of the ball is h(t) = -5t2 + 40t + 100
where h(t) is the height in metres at time t seconds after contact. There are
power lines 185 metres above the ground. Will the golf ball hit power lines?
Answer: NO
Step-by-step explanation:
The functions that models the height of the ball is given as
h(t) = -5t2 + 40t + 100
Where
a = -5, b = 40, c = 100
The time the ball will reach the maximum height will be the vertex of the parabola. At the line of symmetry, the time t will be:
t = -b/2a
Substitute b and a into the formula above.
t = - 40 / -5 = 8
Substitute 8 for t in the function f(t)
h(t) = - 5(8)^2 + 40(8) + 100
h(t) = -5(64) + 40(8) + 100
Open the bracket
h(t) = -320 + 320 + 100
h(t) = 100
The maximum height of the ball is 100m
Given that the power lines is 185 metres above the ground. The golf ball will therefore not hit power lines because the maximum height the ball can go is 100 metres