Using translation concepts, the change of f(x) = x to g(x) = x - 90 can be described as follows:
The base graph has been shifted down 90 units.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that g(x) = f(x) - 90, that is, the base graph was shifted down 90 units.
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
Convert 10000 seconds in to the number of equivalent hours minutes and seconds
Answer:
2 hours 46 minutes and 40 seconds
Step-by-step explanation:
First we divide by 60 to find how many minutes are in 10000 seconds :
10000÷60 = 166 minutes with remainder 40 seconds
If 166 minutes and 40 seconds is 100000 seconds then we change 166 minutes into hours and minutes :
We do this by dividing 166 by 60 :
166 ÷ 60 :
2 hours Remainder 46 minutes
So our final answer is :
2 hours 46 minutes and 40 seconds
Hope this helped and have a good day
A right rectangular pyramid is sliced vertically (down) at the red line by a plane not passing through the vertex of the pyramid m. what is the shape of the cross section?
The cross-section of a right rectangular pyramid will be shaped similar to the base, that is, a rectangle. Hence, 4th option is the right choice.
If the peak of the rectangular pyramid is directly above the center of the base, it creates a perpendicular to the base, indicating the height of the pyramid. This type of rectangular pyramid is known as the right rectangular pyramid.
A rectangle is a quadrilateral, that is a closed figure with 4 line segments, with all four interior angles at 90°.
When we slice a right rectangular pyramid vertically down at the red line by a plane, not passing through the vertex, of the pyramid will be a dilated image of its base.
A dilated image is an enlarged or diminished image of the preimage, similar with all angles.
Thus, the cross-section of a right rectangular pyramid will be shaped similar to the base, that is, a rectangle. Hence, 4th option is the right choice.
Learn more about right triangular pyramids at
https://brainly.com/question/27658401
#SPJ4
For complete question, refer to the attachment.
Answer:trapozoid
Step-by-step explanation:
Find the difference. express the answer in scientific notation. (8.64 times 10 superscript 20 baseline) minus (7.83 times 10 superscript 20 baseline) 8.1 times 10 superscript 19 0.81 times 10 superscript 20 8.1 times 10 superscript 21 0.81 times 10 superscript 40
Answer:
Its A or B
Step-by-step explanation:
Lola has collected 935 buttons. what is the number of buttons rounded to the nearest ten?
Answer:
940
Step-by-step explanation:
Since there is a 5 in the ones spot we round the number is the tens spot up by 1: 935 --> 940
Call line that passes through the point x, y with a y intercept of b and a slope of m can be represented by the equation y=mx + b. a line is drawn on the coordinate plane that passes through the .3, -6 and has a slope of four the y-intercept of the line is
Answer: (0, -7.2)
Step-by-step explanation:
Substituting into point-slope form, the equation is
[tex]y+6=4(x-0.3)[/tex]
The y-intercept is when x=0, so substituting in x=0,
[tex]y+6=4(-0.3)\\\\y+6=-1.2\\\\y=-7.2[/tex]
So, the y-intercept is (0, -7.2).
There are 752 cal in 8 ounces of a certain ice cream how many calories are there in 2 pounds
Determine whether the triangles can be proved similar. If they are similar, write a similarity statement. If they are not similar, explain why.
Answer: [tex]\triangle RQP \sim \triangle VPW[/tex]
Step-by-step explanation:
By the corresponding angles theorem, [tex]\angle RPQ \cong \angle VWP[/tex] and [tex]\angle RQP \cong \angle VPW[/tex].
Therefore, [tex]\triangle RQP \sim \triangle VPW[/tex] by AA.
Again pls help out!
Answer:
okay so I think its, horizontal shift right 2 and a vertical shift down 1
Step-by-step explanation:
so x says + 2 so right 2 and y says -y so down 1..?
I'm kinda rusty tho so yeah
Can someone help with this problem please.
A sheet of paper, 12 inches by 18 inches, is folded so that 2 opposite corners touch, as shown in the figures below. What is the area, in square inches, of the shaded triangle formed as the result of the overlap. (Please look at the picture!)
The area of the shaded triangle formed as the result of the overlap is = 62.35 inches ²
Calculation of the equilateral triangleAfter folding the rectangle with length of 12 inches and width of 18 inches, an equilateral triangle was formed.
An equilateral triangle is a type of triangle where by all the three sides are equal.
To determine the value of one of the sides, CB or CD is used because the folding didn't affect these sides.
Using the formula for the area of an equilateral triangle,
A = √¾ a²
a= 12 inches
A = √¾ ×12²
A = 62.35 inches ²
Learn more about triangle here:
https://brainly.com/question/1058720
#SPJ1
Answer:
Its 78!!!!
Solution:
1/2(12 * 18 - 5 * 12) = 78
In 2015, around ____ percent of the world’s population had an internet connections.
PLS HELPPP!!!! Look at pic
The correct option regarding whether the equation x² = y² is a function is:
No, since if you solve the equation for x, then [tex]x = \pm y[/tex]
What is needed for a relation to represent a function?In a function, each value of x can be associated with only one value of y.
In this problem, the equation is:
[tex]x^2 = y^2[/tex]
Then:
[tex]x = \pm \sqrt{y^2}[/tex]
[tex]x = \pm \sqrt{y}[/tex]
x is associated with two values, [tex]-\sqrt{y}[/tex] and [tex]\sqrt{y}[/tex], hence it is not a function.
A similar problem, in which we verify if a relation is a function, is at https://brainly.com/question/12463448
#SPJ1
Write the expanded expression in expanded form using the definition of an exponent.
2wz^2?
The expanded form of the given expression is 2 × w × z × z
Writing an expressionFrom the question, we are to determine the expanded form of the given expression
The given expression is
2wz²
To write an expression in an expanded form, we will write the expression as a repeated multiplication in the simplest way possible.
To do this, we will first expand the index in the given expression.
The index in the given expression is z²
Thus, we get
z² = z × z
Now, we will include the remaining individual terms in the expression and write them as product.
That is,
2wz² = 2 × w × z × z
Hence, the expanded form of the given expression is 2 × w × z × z
Learn more on Writing an expression here: https://brainly.com/question/17985350
#SPJ1
A map's numerical coordinates are in kilometres. Town A is at (16.3, 2.9) and town B is at
(4.5, 6.3). A road is to be constructed on a direct line between the two towns. Each town is
responsible for the construction up to the mid-point at a cost of $150 000 for each kilometre.
Determine the cost for each town.
Answer:
$92,250 per town
Step-by-step explanation:
See attached image.
The two towns may be connected with a straight line, the road, that can be made into the hypotenuse of a right triangle. The twio sides are calculated from the coordinates and shown in the image. Then use the phythagorean theorem to calculate the hypotenuse. The towns are 12.3 km apart. The total road cost would be:
($150,000/km)(12.3 km) = $1,845,000, or $92,250 per town.
The volume of the oceans on Earth is approximately 1,386 million km^3. As the Earth's temperature rises, the ice in the polar icecaps melts into the oceans, increasing the volume of the oceans. If 1 cm^3 of ice melts, it turns into approximately 0.92 cm^3 water.
1) There are approximately 3,800 cm^3 in a gallon. If 1.9 m^3 of ice melts, how many gallons of water does this produce? (Round your answer to the nearest gallon.)
2) Scientists estimated that the addition of 1,000 km^3 of water would increase sea levels by 364 cm. Greenland's ice sheet is especially vulnerable to melting. Recent reports indicate a melting average of 195 km^3 of ice per year from Greenland, resulting in additional yearly 179.4 km^3 of water. If melting continues at this rate, how many centimeters would the sea increase after 6 years? (Round your answer to the nearest centimeter.)
Answer:
460 gallons392 cmStep-by-step explanation:
The necessary units conversion can be accomplished by multiplying by appropriate conversion factors. Quantity can be found by multiplying rate by time.
1)The number of gallons of water produced by melting 1.9 m³ of ice is ...
[tex]1.9\text{ m$^3$ (ice)}\times\left(\dfrac{100\text{ cm}}{1\text{ m}}\right)^3\times\dfrac{0.92\text{ cm$^3$ (water)}}{1\text{ cm$^3$ (ice)}}\times\dfrac{1\text{ gal}}{3800\text{ cm$^3$}}\\\\=\dfrac{1.9\times10^6\times0.92}{3800}\text{ gal}=\boxed{460\text{ gal}}[/tex]
2)Multiplying the melting rate by time and converting to height, we have ...
[tex]\dfrac{179.4\text{ km$^3$}}{1\text{ yr}}\times\dfrac{364\text{ cm}}{1000\text{ km$^3$}}\times6\text{ yr}\approx\boxed{392\text{ cm}}[/tex]
__
Additional comment
The area of the world's oceans is about 361e6 km², so addition of 1000 km³ of water might be expected to increase the water level by (1000/361)e-6 ≈ 2.77e-6 km = 0.277 cm. Something seems a little off in this problem statement.
PLEASE HELP I GIVE 95 POINTS
I need to find the equation of the line
Answer:
y = 3x + 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line
m = [tex]\frac{3-0}{0-(-1)}[/tex] = [tex]\frac{3}{0+1}[/tex] = [tex]\frac{3}{1}[/tex] = 3
the line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 3x + 3 ← equation of line
Answer:
y = 3x + 3
Step-by-step explanation:
See attached image.
The solution to the system of equations shown is (2, 0).
3x − 2y = 6
x + 4y = 2
When the first equation is multiplied by 2, the sum of the two equations is equivalent to 7x = 14
.
Which system of equations will also have a solution of (2, 0)?
Answer:
7x = 14
x + 4y = 2
Step-by-step explanation:
3x − 2y = 6
x + 4y = 2
6x - 4y = 12
x + 4y = 2
-----------------------
7x = 14 Replace the first equation with this one.
Question 5 of 15
What would be the best first step in solving this system
x²-3x + 2y = -4
y = 3x + 2
Now you can equate it with second one to get x
Answer:
Substitute y = 3x + 2 into x² - 3x + 2y = -4
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}x^2-3x+2y=-4\\y=3x+2\end{cases}[/tex]
Since y is already isolated in the second equation, the best first step would be to substitute the second equation into the first equation, then solve for x.
Substitute equation 2 into equation 1:
[tex]\implies x^2-3x+2(3x+2)=-4[/tex]
Expand the brackets and simplify so that the equation equals zero:
[tex]\implies x^2-3x+6x+4=-4[/tex]
[tex]\implies x^2+3x+4+4=0[/tex]
[tex]\implies x^2+3x+8=0[/tex]
Now use the Quadratic Formula to solve for x.
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
Define the variables:
[tex]\implies a=1, \quad b=3, \quad c=8[/tex]
Substitute the values into the formula and solve for x:
[tex]\implies x=\dfrac{-3 \pm \sqrt{3^2-4(1)(8)}}{2(1)}[/tex]
[tex]\implies x=\dfrac{-3 \pm \sqrt{-23}}{2}[/tex]
[tex]\implies x=\dfrac{-3 \pm \sqrt{-1 \cdot 23}}{2}[/tex]
[tex]\implies x=\dfrac{-3 \pm \sqrt{-1}\sqrt{23}}{2}[/tex]
Remember that [tex]i^2=-1[/tex]
[tex]\implies x=\dfrac{-3 \pm i\sqrt{23}}{2}[/tex]
Therefore, the solutions to the system of equations are:
[tex]x=\dfrac{-3 + i\sqrt{23}}{2}, \quad \dfrac{-3 - i\sqrt{23}}{2}[/tex]
Learn more about systems of equations here:
https://brainly.com/question/27520807
Determine the measure of
Answer:
M: 74.579° = 74°34'43" = 1.30164
O: 49.421° = 49°25'17" = 0.86256 rad
how do you graph y=12/x
Answer: [tex]\frac{12}{x}[/tex] is an asymptote
Step-by-step explanation:
Apply a table, and plug in values of x into the equation. For example f(2)=[tex]\frac{12}{2} =6[/tex]. That's one of the points on the graph that we just found (2,6)
A scale drawing of a house addition shows a scale factor of 1 in. = 3.3 ft. Josh decides to make the house addition smaller, and he changes the scale of the drawing to 1 in. = 1.1 ft.
What is the change in the scale factor from the old scale to the new scale?
The change in the scale factor from the old scale to the new scale is 3.
What is the change in the scale factor?A scale drawing is a reduced form in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension.
The change in the scale factor = larger scale / smaller scale
3.3 / 1.1 = 3
To learn more about scale drawings, please check: https://brainly.com/question/26388230
#SPJ1
14 m
10 m
what is the volume of the following cylinder?
The volume of the cylinder is approximately, 1,539.4 cubic meters.
What is the Volume of a Cylinder?Volume of a cylinder = πr²h
Given the following:
Diameter of cylinder = 14 m
Radius (r) = 14/2 = 7 m
Height of cylinder = 10 m
Volume of cylinder = πr²h = π(7²)(10)
Volume of cylinder ≈ 1,539.4 cubic meters.
Learn more about volume of cylinder on:
https://brainly.com/question/9554871
#SPJ1
Suppose you have 5 riders and 5 horses, and you want to pair them off so that every rider is assigned one horse (and no horse is assigned two riders). How many ways can you do this?
There are 120 ways in which 5 riders and 5 horses can be arranged.
We have,
5 riders and 5 horses,
Now,
We know that,
Now,
Using the arrangement formula of Permutation,
i.e.
The total number of ways [tex]^nN_r = \frac{n!}{(n-r)!}[/tex],
So,
For n = 5,
And,
r = 5
As we have,
n = r,
So,
Now,
Using the above-mentioned formula of arrangement,
i.e.
The total number of ways [tex]^nN_r = \frac{n!}{(n-r)!}[/tex],
Now,
Substituting values,
We get,
[tex]^5N_5 = \frac{5!}{(5-5)!}[/tex]
We get,
The total number of ways of arrangement = 5! = 5 × 4 × 3 × 2 × 1 = 120,
So,
There are 120 ways to arrange horses for riders.
Hence we can say that there are 120 ways in which 5 riders and 5 horses can be arranged.
Learn more about arrangements here
https://brainly.com/question/15032503
#SPJ4
Determine the area of the figure.
Answer: 3x - 6 (in^2)
Step-by-step explanation:
base * height / 2
=
3 ( 2x - 4) / 2 (in^2)
= 3x - 6 (in^2)
Answer: 3x-6 in^2
Step-by-step explanation:
There is no way to figure out what x is without additional information, so you have to leave the answer in this form
Irene knows her blood type is A, but William does not know his blood type. However, William knows that his mother and father both had blood type B. Irene and William's first child is a boy with type O blood. Based on this information, William's blood type could be
Based on this information, William's blood type could be either B or O.
What is Segregation of alleles?
Allele pairs (several features of the same gene) are segregated during meiosis so that they can be transferred selectively to different gametes.During meiosis, maternal and paternal alleles separate.What is genotype vs phenotype ?
Genotype: An organism's genetic makeup. Phenotype. physical characteristic that arises within an organism as a result of its genotype. Probability law.Genotype - the set of alleles that make up an organism.How does genotype influence phenotype ?
The alleles you have for a specific gene or collection of genes are referred to as your genotype. The physical attribute itself, or phenotype, can be affected by both genotype and environmental variables.Learn more about Genotype
brainly.com/question/16882362
#SPJ4
Complete the sentence using the following formula. Enter your answer using digits.
area
The length of a rectangle can be found using the following formula: length width
The length of a rectangle that has a width of 2.5 cm and an area of 20.5 cm² is __ cm.
Answer: 8.2 cm
Step-by-step explanation:
Area of a rectangle = l x w
[tex]A= 25 cm^{2}[/tex]
[tex]l= ?[/tex]
[tex]w= 2.5 cm[/tex]
[tex]25cm^{2} = l(2.5cm)[/tex]
Rearrange the equation to get Length by itself[tex]\frac{25cm^{2} }{2.5cm}= l[/tex]
[tex]8.2 cm=l[/tex]
Which equation is equivalent to 3[x + 3(4x – 5)] = 15x – 24?
15x – 15 = 15x – 24
15x – 5 = 15x – 24
39x – 45 = 15x – 24
39x – 15 = 15x – 24
The equivalent equation of the given equation is 39x - 45 = 15x - 24.
Hence, option C) is the correct answer.
What is the equivalent of the given equation?Given the equation; 3[x + 3(4x – 5)] = 15x – 24
We expand and collect like terms
3[x + 3(4x – 5)] = 15x – 24
3( x + 12x - 15 ) = 15x - 24
3x + 36x - 45 = 15x - 24
We add the like terms on both sides
39x - 45 = 15x - 24
Therefore the equivalent equation of the given equation is 39x - 45 = 15x - 24.
Hence, option C) is the correct answer.
Learn more about equations here: brainly.com/question/14686792
#SPJ1
What is the
y-intercept
of this line?
Answer: (0, 3)
Step-by-step explanation:
The y-intercept of the line is where the line intercepts the y-axis. In other words, the coordinate value of the line when x is 0.
Answer: (3, 0)
Step-by-step explanation:
y-intercept = y=a number and x=0
So, y=3, x=0.
(3, 0)
if the length of a rectangle is decreased by 2cm and the width is increased by 6 cm the result will be a square the area of this square will be 64 cm^2 greater than the area of a rectangle find the area
The area of the rectangle is 105 square cm
How to determine the rectangle area?Represent the dimensions of the rectangle with x and y
So, the length of the square would be:
Length = x - 2
Width = y + 6
The areas are then calculated as:
Rectangle = xy
Square = (x -2)(y + 6)
The relationship between the areas is:
(x -2)(y + 6) = 64 + xy
Expand
xy + 6x - 2y - 12 = 64 + xy
This gives
6x - 2y - 12 = 64
Add 12 to both sides
6x - 2y= 76
Divide through by 2
3x - y = 38
By trial by error, we have:
x = 15 and y = 7
The rectangle area is then calculated as:
Rectangle = xy
This gives
Rectangle = 15 * 7
Evaluate
Rectangle = 105
Hence, the area of the rectangle is 105 square cm
Read more about areas at:
https://brainly.com/question/27683633
#SPJ1
which of the following points could be added to the graph f(x)=-|x+3| to keep the graph a function?
a.(0.3) b.(-3,-6)
c. both a and b d. none of the above
None of the points could be added to the graph f(x)=-|x+3| to keep the graph a function
How to determine the point?The equation of the function is given as:
f(x) = - |x + 3|
The points are given as:
(0, 3) and (-3, -6)
When x = 0, we have:
f(0) = - |0 + 3|
f(0) = -3 --- different y value from (0, 3)
When x = -3, we have:
f(-3) = - |-3 + 3|
f(-3) = 0 --- different y value from (-3, -6)
This means that the x values point to different y values (this does not represent a function)
Hence, none of the points could be added to the graph f(x)=-|x+3| to keep the graph a function
Read more about functions and relations at:
https://brainly.com/question/2328150
#SPJ1