The simplest form is 15z+ 15x²
How to simplify the given expression ?In algebra, a triangle-shaped grouping of integers known as Pascal's triangle provides the coefficients for the expansion of any binomial formula, such as (x + y)n. Although it is much older, it bears the name of the French mathematician Blaise Pascal from the 17th century.
Because it has so many patterns that can be used to greatly simplify complex calculations, Pascal's triangle is significant.
Given,
(5z+5 x²)3
15z+15x² by simplifying,
3(5z+5 x²)
apply the distributive formula :a (b + c) =ab + ac
3(5z+5 x²) = 5x+3 * 5x²
By simplifying 3 5z+3 , 5x², 15z+15x²
we get
15z+ 15x²
Therefore the simplest form is 15z+ 15x² .
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Is the y-intercept 0 or 1?
Coordinate (0,1) of y-intercept implies that a line or curve cross the Y axis
at 1.
What is y-intercept?
The location of a point on the cartesian coordinate plane where a straight line or curve line as well as a plane crosses the Y axis is called Y-intercept. The coordinate of y-intercept is expressed as (0, y). This y value is y-intercept. The X coordinate of y intercept is zero.
In case of an equation of line while writing in slope-intercept form it is denoted by b such as y = mx+ b
in the above equation, b is y-intercept and m is the slope.
What means y-intercept (0, 1)?The y -intercept given by coordinate (0, 1) defines that a straight-line or curve line cross the Y axis at 1. The x coordinate of y -intercept is always zero because over the Y axis there is no value of X.
The y-intercept can have negative or positive value.
Suppose we have an equation of line 4x + 8y + 10 = 0
we will write it in a slope-intercept form
8y = -4x - 10
y = - 4x/8 - 10/8
y = -1/2x - 5/4
In the above equation - 5/4 or -1.25 is the y-intercept that means the line crosses the Y-axis at -1.25
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Reduce 22/154
to its lowest form.
22/154=11/77=1/7
1/7 is the lowest form
In the right triangle below b = 18 and c = 20, solve for a in simplified radical form.
Answer:
a = 2 radical 19
Step-by-step explanation:
a^2 + 18^2 = 20^2
a^2 + 324 = 400
subtract 324 from both sides
a^2 = 76
square root both sides
a = radical 76
simplify radical to get 2 radical 19
Look at the drawing below.
(2x +10)
46
Which equation can be used to determine the value of x?
2x + 10 = 46
2x + 10 + 46 = 180
2x + 10 + 46 = 90
Not Here
Correct answer gets 15 points.
The minimum hours of daylight occur mid-year with the maximum hours of daylight occuring in December.b.The maximum hours of daylight occur in January. The amount of daylight decreases each month until the minimum is reached in December.c.The minimum hours of daylight occur in December. The amount of daylight decreases each month until the minimum is reached.d.The minimum hours of daylight occur in January and December. The amount of daylight increases each month until it reaches a maximum mid-year.
The minimum hours of daylight occur in January and December is the correct answer . The amount of daylight increases each month until it reaches a maximum mid-year. Therefore, option D is correct.
The reason behind this is the rotation and revolution of Earth around the sun. The more the sun is towards the North Pole the shorter the day will be. On the equator, daylight will last generally for 12 hours as because sunlight falls directly on the equator
Therefore the shortest duration of daylight occurs in the month of December solstice when the North Pole is at its maximum distance from the Sun .
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Graph the line with slope -8 and y-intercept 9.
Answer:
the coordinates will be (0,9) (-8,0) and the equation will be y=(9/8x)+9
Step-by-step explanation:
Im not 100% sure but if im right please mark me as brainliest
Please I need the 3 of them
The following operations are used to transform the quadratic equation y = x² into parabolas in standard form:
Case 1
Horizontal translation, vertical translation. Horizontal stretch.
Case 2
Horizontal translation, vertical translation. Reflection in the x-axis, vertical stretch.
Case 3
Horizontal translation, vertical translation. Horizontal stretch.
How to determine the magnitude of horizontal and vertical translations for quadratic equations
In this question we find three cases of parabolas in standard form, that is, quadratic equations of the form:
y - k = a · (x - h)²
Where:
a - Vertex constant(h, k) - Coordinates of the vertex.This parabola is translated both horizontally and vertically by using the following definitions:
Horizontal translation
x → x - a, where a > 0 for rightward translation.
Vertical translation
y → y - b, where b > 0 for upward translation.
Horizontal dilation
f(x) → f(k · x), where k is a non-negative real number.
Vertical dilation
f(x) → k · f(x), where k is a non-negative real number.
Reflection in the x-axis
f(x) → - f(x)
The procedure is summarize below:
Write the original function, that is, the equation of the parabola with vertex at origin.Apply dilation, translation and reflection definitions.Finally, we summarize the procedure for each case:
Case 1
g(x) = x²
g(x) = [(1 / 2) · x²]
g(x) + 4 = [(1 / 2) · (x - 2)]²
Horizontal shift: 2 units right, vertical shift: 4 units down. Horizontal stretch.
Case 2
f(x) = x²
f(x) = - (1 / 2) · x²
f(x) - 2 = - (1 / 2) · (x - 4)²
Horizontal shift: 4 units right, vertical shift: 2 units down. Reflection in the x-axis, vertical stretch.
Case 3
h(x) = x²
h(x) = 2 · x²
h(x) - 5 = [2 · (x + 2)]²
Horizontal shift: 2 units left, vertical shift: 5 units up. Horizontal stretch.
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GH is dilated by a scale factor of to form G'H'. GH measures 36. What is the
measure of G'H'?
Answer:
The basic formula to find the scale factor of a dilated figure is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
can someone please help meee
Answer:
(-7,1)
Step-by-step explanation:
The vertex of a parabola is the maximum or minimum point on the graph. On this point, the maximum is at (-7,1).
Which values of h make the relation {(-2,3), (4,7), (9, h)} a function?
Answer:
h can be any value.
Step-by-step explanation:
As long as each input as exactly one output, the value of h does not matter.
Reggie made a scale drawing of a house. In real life, the garage is 3 meters wide. It is 6 millimeters wide in the drawing. What is the drawing's scale factor?
Answer:
1:50
Step-by-step explanation:
The drawing's scale factor is
1:50
Explanation:
In drawing, width of the garage is 6 cm and in actual width of the garage is 3m or 3×100=300 cm.
Hence, the drawing's scale factor is 6:300 and dividing by 6, it is 1:50
Helppp please!!!!!!!!!!!
Answer:
C.
Step-by-step explanation:
If y=-3, then you substitute -3 into the equation every place that there is y, making it 4+(-3)/4(-3). This simplifies into 4-3/-12 which is 1/-12 or -1/12
O conjunto A é formado pelos números inteiros maiores que -5 e menores que 8. Marque a alternativa que representa esse conjunto
Alguém sabe a resposta dessas 2 questão?
Answer:
A opção 2. Para um número ser maior que -5,basta ele está mais perto do 0,na reta numérica.
Espero ter lhe ajudado!
On a cruise ship, 400 passengers are adults and 350 are children. What percent of passengers are adults?
Step-by-step explanation:
percentage of adults= number of adults over total number of persons times 100;
400/400+350*100
400/750*100
40/75*100
8/15*100
8/3*20
160/3
=53.3%
Jasmine has $26 to spend on binders and one pack of pens. The pack of pens costs $4. 75. Each binder costs $5. Write an inequality to determine the maximum number of binders she can buy, (Define your variable. )
Jasmine can buy a average of 4 binders because the cost of the binders, multiplied by the number of binders she wants to buy, plus the cost of the pens, must not exceed her total budget of $26.
Step 1: Define the variable. Let x represent the number of binders Jasmine can buy.
Step 2: Write the inequality. 5x + 4.75 ≤ 26
Step 3: Solve the inequality. 5x ≤ 21.25
Step 4: Isolate the variable. x ≤ 4.25
Step 5: The maximum number of binders Jasmine can buy is 4.
Let x represent the number of binders Jasmine can buy
5x + 4.75 ≤ 26
5x ≤ 21.25
x ≤ 4.25
Jasmine has a total of $26 to spend on binders and one pack of pens. The cost of the pens is $4.75, and each binder costs $5. To determine the maximum number of binders she can buy. The inequality we need to solve is 5x + 4.75 ≤ 26. We can solve this inequality by first multiplying both sides of the equation by 5, which gives us 5x ≤ 21.25. We can then isolate the variable by dividing both sides of the equation by 5, which gives us x ≤ 4.25. This means that the maximum number of binders Jasmine can buy is 4.
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the length breadth and height of a cuboid are in the ratio 7:5:2 its volume is 35840cm³
[tex] \longmapsto \: 7x + 5x + 2x = 35820 \\ \\ x = \frac{35840}{14} = 2560[/tex] length equals to 7 into 2560 = 1792
Plz, solve the question below! 20 pts!
Answer:
your answer would be c.
hope this helps (ツ)
Can I join Wikipedia?
Yes , you can join Wikipedia as a creator who can help maintain the platform and update the content from time to time. There are also different types of job roles which you can find for Wikipedia .
You can also simply just create an account and start contributing as a member of Wikipedia.
For this the first step would be to select an appropriate username, which will be unique , as this will be used to identify and differentiate you from others. Then you can start contributing to Wikipedia and other Wikimedia projects.
Communicate with other editors via your own talk page. You can also opt in to exchanging emails with other users and thus increase your community.
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Find the volume of the pyramid. Write your answer as a fraction or mixed number. ft3
Answer:
Volume of pyramid = [tex]1\frac{1}{3}[/tex] feet³
Step-by-step explanation:
Given:
Length of base = 2 feet
Width of base = 1 feet
Height of pyramid = 2 feet
Find:
Volume of pyramid
Computation:
Area of base = Length x Width
Area of base = 2 x 1
Area of base = 2 feet²
Volume of pyramid = (1/3)(A)(h)
Volume of pyramid = (1/3)(2)(2)
Volume of pyramid = (1/3)(4)
Volume of pyramid = 4/3
Volume of pyramid = [tex]1\frac{1}{3}[/tex] feet³
Robot Navigation Self-navigating robots are very useful in the real world. Reducing the risk of human error by having a computer do tasks can increase the safety of transportation: Airplanes have systems that automate takeoffs and landings. Some cars can parallel park themselves. Cargo ships have autopilots. Mazes offer a challenge that can be directly translated to these situations. In this task, you are developing navigation software for a company that makes robotic systems that can direct themselves. As a first-level test of the robot you are developing, you will have it navigate a maze. North West East South B:The arrow at the maze entrance indicates that the robot will be heading east when it enters the maze. When programming the robot, let the complex number d represent the direction the robot is facing. As the robot changes direction, the value of d will also change; so, the value of d is dependent on where the robot is in the maze. At the start of the maze, what is the value of d? C;While navigating the maze, the robot will need to be able to turn left and right. The first turn the robot will make is a left turn. What will the value of d be after the first turn?
The first left turn, the value of d will be -1i, indicating that the robot is now facing north.
What is value?Value is the worth of something, which can be measured in terms of money, time or importance. It is something that is sought after and desired. Value can also be seen in terms of a person's character, morals, beliefs, and principles. It is an intangible concept that is difficult to quantify, but it is often sought after and is an important aspect of life. Value is what makes something worthwhile and irreplaceable.
The robot will need to be able to detect walls. As it moves through the maze, it will need to be able to detect when it is about to hit a wall. This can be done using sensors. The sensors should be able to detect the wall and the distance from the wall. This will allow the robot to turn in the correct direction and avoid hitting the wall.
The robot will also need to be able to detect when it has reached the end of the maze. This can be done by programming the robot to recognize when it has come to a dead end, or when it has reached a certain point in the maze. Once the robot has reached the end, it can then turn around and exit the maze.
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what is k if 1 1/3k=1/3
Answer: k = 11
Step-by-step explanation:
[tex]\frac{11}{3k} = \frac{1}{3} \\\\[/tex]
Cross multiply:
[tex]11 * 3 = 1*3k[/tex]
[tex]33 = 3k[/tex]
[tex]k = 11[/tex]
the perimeter of the trapezoid is 18x +18 find the missing length of the lower base
PLEASE HURRY
Answer:
Step-by-step explanation:
8x+18=2x+x+4x-3
8x+18=7x-3
perimeter = x+21
Angle J and Angle M are base angles of isosceles trapezoid JKLM. If angle j= 23x+5, and angle m = 13x+15 , find measure k .
The angle K for the Isosceles trapezoid is a supplementary angle to the angle J and the measure of angle K = 152°
What is an Isosceles trapezoidThis is a trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal. The opposite angles are supplementary which implies they sum up to 180°.
angle J and angle M are base angles for the Isosceles trapezoid and are equal, so:
23x + 5 = 13x + 15
23x - 13x = 15 - 5 {collect like terms}
10x = 10 {divide through by 10}
x = 1
angle J = 23(1) + 5 = 28°
Angle K and angle J are supplementary so:
K = 180 - 28
K = 152°
Therefore, the measure of the angle K for the Isosceles trapezoid JKLM is equal to 152°
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You are playing a game in which you randomly select one square tile and one round tile from the sets shown below. Before you select your tiles, you try to guess which combination you will pick.
20 green square tiles, 9 red square tiles, 16 pink square tiles, 10 yellow square tiles, 5 blue square tiles.Circle tiles: 5 purple, 6 orange, 10 blue, 1 white, 2 yellow, 4 red, 5 black, 3 green.
Of the four possible guesses listed below, which one will give you the greatest chance of success?
a.
green square tile and red round tile
b.
pink square tile and orange or yellow round tile
c.
red or blue square tile and black or green round tile
d.
blue square tile and blue or purple or white round tile
Answer:
b
Step-by-step explanation:
From the four possible guesses listed below, for the Terrence the highest chance of success is selecting black or pink square tile and blue or green round tile.
What is chain rule in probability?In probability theory, the chain rule describes how to calculate the probability of the intersection of, not necessarily independent, events or the joint distribution of random variables respectively, using conditional probabilities.
For two events A and B, by chain rule, we have:
P(A∩B) = P(B) P(A|B) = P(A) P(B|A)
Here P(A|B) is probability of occurrence of A given that B already occurred.
here, we have,
Terrence is playing a game in which he will randomly select one square tile and one round tile from the tile sets shown below.
Before he does so, he tries to guess which tiles he will draw.
Square tiles: 12 blue, 20 yellow, 8 red, 6 green, 4 pink, 5 black, 3 brown, 2 white, total 60.
Round tiles: 9 black, 4 green, 3 yellow, 2 white, 6 blue, 12 red, total 36.
Here, the event of choosing round tile and square tile is independent to each other.
a. black or pink square tile and blue or green round tile
The chance of black or pink square tile and blue or green round tile is,
P_1 = 0.65
b. yellow square tile and yellow round tile
The chance of yellow square tile and yellow round tile is,
P_2 = 0.42
c. green, brown, or white square tile and black or white round tile
The chance of green, brown, or white square tile and black or white round tile is,
P_3 = 0.49
d. red square tile and red or white round tile
The chance of red square tile and red or white round tile is,
P_4 = 0.52
Thus, from the four possible guesses listed below, for the Terrence the highest chance of success is selecting black or pink square tile and blue or green round tile.
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HELP PLZ PLZ PLZZZZ I WILL MARK BRAINLYLIESF!!!!!!
Answer:
150.8
Step-by-step explanation:
The formula for soving cylinder is V=Bh or V=πr2hmso if you plug that in you should get this answer like I did.
Please help!! I don't get it!
Answer:
64 times 7.5 and you will get your answer
Step-by-step explanation:
16*4=64
64*7.5=x
x is what you need to find
Make x the subject of the formula 2y - 3x = 6
Answer:
3x-2y= -6
Step-by-step explanation:
change the sign on both lines in the equation
-3x-2y= 6
3x - 2y = - 6
help me plz 15 points
Answer:
34625
Step-by-step explanation:
Condense the following logarithmic expression.
2 ln(x) + 5 ln(y) - 7 ln(z) - In (5)
Answer:
Answer:
ln(x²y⁵/(5z⁷))
Step-by-step explanation:
You want to condense the logarithmic expression 2 ln(x) + 5 ln(y) - 7 ln(z) - In (5).
Rules of logarithmsThe relevant rules of logarithms are ...
a·ln(b) = ln(b^a)
ln(ab) = ln(a) +ln(b)
ln(a/b) = ln(a) -ln(b)
Application[tex]2\ln{(x)}+5\ln{(y)}-7\ln{(z)}-\ln{(5)}=\boxed{\ln\left(\dfrac{x^2y^5}{5z^7}\right)}[/tex]
Mrs. Campos is making cupcakes for a bake sale. She uses the equation c = 0. 55x to determine the cost, c, for x cupcakes. Which best represents the constant rate at which cupcakes are sold at the bake sale?
55 cupcakes per dollar
$0. 55 per cupcake
$4 per cupcake
4 cupcakes per dollar
Best represents the constant rate at which cupcakes are sold at the bake sale $0. 55 per cupcake
Mrs. Campos is making cupcakes for a bake sale. She uses the equation c = 0. 55x to determine the cost, c, for x cupcakes. Which best represents the constant rate at which cupcakes are sold at the bake sale?
55 cupcakes per dollar
$0. 55 per cupcake
$4 per cupcake
c = 0. 55x
to determine the cost, c,
for x cupcakes.
CASE 1
55 cupcakes per dollar
therefor x = 55
c = 0. 55x
c = 0. 55 × 55
= 30.25
case2
$0. 55 per cupcake
x = 1
c = 0. 55x
c = 0. 55 × 1
= 0. 55
case 3
$4 per cupcake
x = 1
c = 0. 55x
c = 0. 55 × 1
= 0. 55
therefor conclusion is best represents the constant rate at which cupcakes are sold at the bake sale $0. 55 per cupcake
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