Answer:
90 cm²
Step-by-step explanation:
since the ratio is 1:6 for every one little box the bigger box increases 6 times.
so 15·6= 90 cm²
Answer:
D. 90 square cm
Which of the following is the equation of the function f(x) graphed above? A. ƒ(x) = x(x − 2)²(x − 1)(x + 1) B. f(x) = (x - 2) (x − 1)(x + 1) c. f(x)= x(x - 2)²(x − 1)(x + 1) + 1)² D. f(x) = (x - 2)²(x - 1)(x - 1)^ E
True or False
Which of these statements is true?
(Select all that apply.)
Any translation can be replaced by two reflections.
Any translation can be replaced by two rotations.
Any rotation can be replaced by a reflection.
Any reflection can be replaced by a rotation followed by a
translation.
Answer:
truetruefalsefalseStep-by-step explanation:
One characteristic of a reflection that is useful for answering this question is that it always reverses the clockwise/counterclockwise orientation of a figure. Rotation and translation have no effect on that orientation.
__
1. translation by reflection
Reflection across two parallel lines has the net effect of translating a figure twice the distance between the parallel lines. So, one way to effect a translation using two lines of reflection is to draw one of them through the perpendicular bisector of a point and its translated image. Then the other line would be drawn parallel to the first through the image point.
True: translation can be replaced by two reflections
__
2. translation by rotation
A single point can be moved from one set of coordinates to another by rotating around any point on the perpendicular bisector of the original and its image. To "undo" the change in direction of other points in the image, the image can be rotated an equal angle in the reverse direction about the point that is in its proper place.
That is, if we rotate figure ABC an amount of X° about a point on the perpendicular bisector of AA', so that A ends up at A', then the translation can be finished by rotating that figure by -X° about point A'.
The simplest case is an initial rotation of 180° about the midpoint of AA', followed by another rotation of 180° about A'.
True: translation can be replaced by two rotations
__
3. rotation by reflection
As discussed above, reflection changes orientation and rotation does not.
However, a rotation can be replaced by two reflections. The rotation angle is equal to twice the angle between the lines of reflection. The point where the lines of reflection meet is the center of rotation.
False: rotation can be replaced by reflection
__
4. reflection by rotation and translation
As discussed above, reflection changes orientation, but rotation and translation do not.
False: reflection can be replaced by rotation and translation
what does 3 - (-8) equal????
Answer:
11
Step-by-step explanation:
3-(-8) = 3+8
= 11
PLEASE ANSWER FAST I NEED THE ANSWER
The direction and speed the plane traveling is at About 84.3° west of north at approximately 502.5 mph. Option C
How do we calculate the direction and speed of the traveling plane?We need to first find the distance between points A and C using the distance formula; Distance AC = √((x2 - x1)² + (y2 - y1)²)
If we input the figures as seen in the diagram, it becomes
Distance AC = √((-30 - 20)² + (520 - 20)²)
which is 502.49. if we round it off, it becomes 502.5
We have to find find the angle θ that the plane is traveling using the law of cosines
cos(θ) = (AB² + BC² - AC²) / (2 x AB x BC)
cos(θ) = (500² + 50² - 502.5²) / (2 x 500 x 50)
which is -0.000125
θ = arccos( -0.000125)
θ = 90.0071621563 (in degrees)
Give than the wind is blowing west, the angle should be measured west of north.
180° - 90.01° = 90°
It only mean that the plane is travelling at approximately 84.3° west of north
The answer is based on the question below;
A plane is set to fly due north, but it is pushes off course by crosswind blowing west. At 1 pm, the plane is located at point A and at 2pm, the plane is located at point C, as shown in the diagram. In what direction and at what speed is the plane traveling?
A. About 5.7° west of north at approximately 500.1 mph.
B. About 5.7° west of north at approximately 502.5 mph
C. About 84.3° west of north at approximately 500.1 mph.
D. About 84.3° west of north at approximately 502.5 mph
Point C coordinates (-30, 520)
Point A (20, 20)
Distance from A to B on a straight course is 500
B to C is 50
Find more exercises on speed the plane traveling;
https://brainly.com/question/700866
#SPJ1
The 6th number in the series 2, 4, 6, 8, 10, ... is
Answer:
the answer is 12! good luck!:)
Answer:The answer is (b) 12
Step-by-step explanation:
Hi, this is basically a simple addition series, and each number increases by 2. The First number is 2 Second number = 2 + 2 =4 Third number = 4 + 2 = 6 Fourth number = 6 + 2 = 8 Fifth number = 8 + 2 = 10 and Sixth number = 10 + 2 = 12 .
Hope this helps!
PLS HELP ME FIND THE MEASURE OF THE ANGLE TY I APPRECIATE YOUR TIME& HELP <333
Answer:
I think its 90 degrees.
Step-by-step explanation:
Its a right angle
Answer:
180
Step-by-step explanation:
52 + 90 = 142
180-142=38
YXZ =180
(I'm going off based on what I was taught)
2. what is the correct r code to build a linear regression model with response variable y and explanatory variable x? a. lm(y~x) b. lr(y~x) c. lm(y
The correct r code to build a linear regression model with response variable y and explanatory variable x is option a. lm(y~x).
The code lm(y~x) will create a linear model with y as the response variable and x as the explanatory variable.
The lm() function in r is used for linear regression, and the formula y~x indicates that y is the response variable and x is the explanatory variable. The other options, lr(y~x) and lm(y, are not correct r code for building a linear regression model.
In summary, the correct r code for building a linear regression model with response variable y and explanatory variable x is lm(y~x).
See more about linear regression at https://brainly.com/question/25987747.
#SPJ11
Identify which is greater at each marked location. Kinetic energy; Potential energy or both
HELP
Potential energy is the energy when an object is at rest, while the kinetic energy is when the object is in motion.
Formulas
Potential energy is calculated using:
\(\mathbf{PE = mgh}\)
Where:
m represents the mass of the objectg represents acceleration due to gravity (9.8m/s^2)h represents the height of the objectWhile kinetic energy is calculated using:
\(\mathbf{KE = \frac 12mv^2}\)
Where:
m represents the mass of the objectv represents the velocity of the objectExamples
The potential energy of a body that of mass 5 kg at a height of 2.5 meters above the ground is
\(\mathbf{PE = 5 \times 9.8 \times 2.5}\)
\(\mathbf{PE = 122.5J}\)
The kinetic energy of a body that of mass 5 kg moving at a velocity of 2.5m/s is
\(\mathbf{KE =\frac12 \times 5 \times 2.5^2}\)
\(\mathbf{KE =16.625J}\)
Note that, the question is incomplete; so, I provided a general explanation
Read more about potential energy and kinetic energy at:
https://brainly.com/question/17858145
describe the rate of change by this graph
Answer:
hey! I think you forgot to upload the graph xD
Step-by-step explanation:
or I can't see it but I'm very sure you didn't upload it
What transformation is modeled by the function?
Answer:B
Step-by-step explanation:
I took the test
Which of the lines is most likely of best fit for the data provided?
16+24/8-6 is equal to __.
A) 6
B) 20
C) -1
D) 13
Answer:
16+21/8-6 simplifies to 13
Hope this helps!!
Answer:
D. 13
Step-by-step explanation:
Step 1:
16 + 24 / 8 - 6
Step 2:
16 + (24 / 8) - 6
Step 3:
16 + 3 - 6
Step 4:
(16 + 3) - 6
Step 5:
19 - 6
Answer = 13
Hope it helps :)
pls help me solve this
The results of operations between vectors are, respectively:
Case A: u + w = <- 3, - 1>
Case B: - 6 · v = <6, 6>
Case C: 3 · v - 6 · w = <- 21, - 15>
Case D: 4 · w + 3 · v - 5 · u = <39, 4>
Case E: |w - v| = √(4² + 3²) = 5
How to determine the operations between vectors
In this problem we must determine the operations between vectors, this can be done by following definitions:
Vector addition
v + u = (x, y) + (x', y') = (x + x', y + y')
Scalar multiplication
α · v = α · (x, y) = (α · x, α · y)
Norm of a vector
|u| = √(x² + y²)
Now we proceed to determine the result of each operation:
Case A:
u + w = <- 6, - 3> + <3, 2>
u + w = <- 3, - 1>
Case B:
- 6 · v = - 6 · <- 1, - 1>
- 6 · v = <6, 6>
Case C:
3 · v - 6 · w = 3 · <- 1, - 1> - 6 · <3, 2>
3 · v - 6 · w = <- 3, - 3> + <- 18, - 12>
3 · v - 6 · w = <- 21, - 15>
Case D:
4 · w + 3 · v - 5 · u = 4 · <3, - 2> + 3 · <- 1, - 1> - 5 · <- 6, - 3>
4 · w + 3 · v - 5 · u = <12, - 8> + <- 3, - 3> + <30, 15>
4 · w + 3 · v - 5 · u = <39, 4>
Case E:
|w - v| = |<3, 2> - <- 1, - 1>|
|w - v| = |<4, 3>|
|w - v| = √(4² + 3²) = 5
To learn more on vectors: https://brainly.com/question/31900604
#SPJ1
Help pleaseee!! I will give brainlist
The length FE in the circle is 6 units
The arc AE has a measure of 64 degrees
Calculating the length FEFrom the question, we have the following parameters that can be used in our computation:
The circle
Given that the lengths from the center to either chords are equal
This means that
FE = 6 units
Calculating the measure of arc AEFor the other circle, we have
BC = 58 degrees
AB = ED
The arc AE is calculated as
AE = 180 - BC - ED
Where
AB = ED = BC = 58 degrees
So, we have
AE = 180 - 58 - 58
Evaluate
AE = 64
Hence, the arc AE is 64 degrees
Read more about circles at
https://brainly.com/question/25871159
#SPJ1
25 POINTSSSS PLEASE HELP ME I NEED HELP!!! PLZZZ
Which exponential function has the greatest average rate of change over the interval [0, 2]?
Answer:
I think its A
Step-by-step explanation:
Briley answered 85% of the 60 quiz questions correctly. How many questions did she answer correctly?
Answer:
51 questions she answered correctly.
Step-by-step explanation: 85/100 x 60
= 510/10
= 51
Answer:
51 questions
Step-by-step explanation:
To do this we need to realize that 85% is equal to 85/100. This can be simplified in fraction form to .85.
Looking at the question, we see that it says "Briley answered 85% of the 60 quiz..." A key word here is of. Of always means multiply. So we can see if we were going to form an equation, we would be multiplying.
Briley answered correctly = (85%) times (60 questions)
Mathematically, ?=(.85)x(60)=51
So we know she answered 51 correctly, and that 51 is 85% of 60.
I hope this helps you!
The graph of a quadratic function with vertex −4, 1 is shown in the figure below. Find the range and the domain.
The range of the provided quadratic function is y≤1, and its domain is all reals. The domain is a collection of all input values, while the range is the collection of all output values.
The domain is a collection of all input values, while the range is the collection of all output values. Any real values of have a definition for the given function. So, all real numbers are included in the supplied function's domain. It is evident from the provided graph that the function's maximum output value is. The potential output values are as follows. The range of the provided quadratic function is y≤1, and its domain is all reals.
To know more about range and domain, here:
https://brainly.com/question/28135761
#SPJ1
. How many lines of symmetry does the letter “B” have? (remember: a line of symmetry divides something up into mirror images)
Answer:
1
Step-by-step explanation:
across the middle of the B
Answer:
The F and G have zero lines of symmetry. Those letters cannot be folded in half in any way with the parts matching up. The rest of the letters, A, B, C, D, and E all have only 1 line of symmetry.Step-by-step explanation:
Miguel is posting photos on a school website. He has 48 photos, and he is allowed to
use 12 pages. He wants to put the same number of photos, p, on each page.
1) Which equation represents the situation?
Answer:
12p=48
Step-by-step explanation:
Answer pls I’ll do anything soon for begging AHAJSJSHA I-
Answer:
3. x
4. -3
Step-by-step explanation:
coefficient are stuff with a varible
constants are any other reg number
As we learn more about lines, we will occasionally have to consider perfectly vertical lines as a special case and treat them differently. Think about applying what you have learned in the last couple of activities to the case of vertical lines. What is the same? What is different?
If the line of the graph is vertical then the slope of the graph is zero. The coordinate of the y-value will never change on vertical lines.
What are vertical lines?The vertical line is a line that is parallel to the y-axis. A vertical line can be defined as a line on the coordinate plane where all the points on the line have the same x-coordinate. A form of test employed in relation is the vertical line test. Any kind of vertical line equation lacks a y-intercept. The vertical line test is used to determine whether or not the given relation is a function. The vertical line is another name for the vertical bar. A mathematical sign is an upright slash. Depending on the context, it may be used to represent a certain kind of logic or an operation. The vertical line is the line that runs along the y-axis.
To know more about vertical lines, visit:
https://brainly.com/question/13425491
#SPJ1
Identify the LCM for 8 and 10.
40
80
160
2
Answer:
A
Step-by-step explanation:
40
Please help me to do this i really need it.
First correct Answer gets Brainliest.
Answer:
Step-by-step explanation:
-3≤ x = graph 6
-3 > x = graph 3
x≥ 3 = graph 2
x ≤ 3 = graph 4
3 > x = graph 1
x > 3 = graph 5
the closed circles means greater/less than or equal to
the open circle means greater/less than
the direction of the arrow tells you if the number is greater than x or less than x
Josie is 11 years older than Macy. What is an equation
that relates the age of Josie J and the age of Macy M?
Answer:
J+11=M
Step-by-step explanation:
What ever age MAcy is Josie is 11 years older than Macy I think the equation is correct sometimes I struggle with those.
Mitch bought 4.6 feet of fabric. Each foot cost $3.50. How much did he spend in all on fabric?
Answer:
$16.10
Step-by-step explanation:
He spent $16.10 in total. Because 3.5 x 4.6 feet = 16.1
Answer:
$16.10
Step-by-step explanation:
3.50 x 4.6 = 14 + 2.10
Each column of the matrix (blank) represents a vertex of a triangle. If Bella scales the triangle by finding 3T, what are the vertices of the scaled triangle?
Answer:
(d) (0, 0), (0, 9), (9, 0)
Step-by-step explanation:
You want to know the vertices represented by the matrix 3T, where ...
\(T=\left[\begin{array}{ccc}0&0&3\\0&3&0\end{array}\right]\)
ScaledThe scaled matrix 3T is found by multiplying each element by the scale factor:
\(3T=\left[\begin{array}{ccc}0&0&9\\0&9&0\end{array}\right]\)
Each column is an (x, y) pair representing a vertex. The vertices of the scaled triangle are ...
(0, 0), (0, 9), (9, 0)
<95141404393>
A biologist is researching a newly discovered species of bacteria. At
time t = 0, he puts 200 bacteria into what he has determined to be a favorable growth. Eight hours later, he measures 800 bacteria. This can
be modeled by the equation y = aekt, where a is the initial amount of
bacteria. Find the rate of growth, k, of the bacteria.
Answer:
k ≈ 0.1733
Step-by-step explanation:
Using the numbers given, we find the multiplier of the population is 800/200 = 4 in 8 hours. This means the equation of growth can be written ...
y = 200(4^(t/8))
When this is written in the form ...
y = 200·e^(kt)
We can compare the two equations to see that ...
4^(1/8) = e^k
Taking natural logarithms, we have ...
1/8·ln(4) = k ≈ 0.1733
The growth rate k is approximately 0.1733.
_____
Additional comment
The comparison we were looking for was (4^(1/8))^t = (e^k)^t. Instead of "comparing" the equations, you could set them equal and solve for k.
200(4^(t/8)) = 200e^(kt)
4^(t/8) = e^(kt) . . . divide by 200
t/8·ln(4) = kt·ln(e) . . . . take natural logs
1/8·ln(4) = k . . . . . . use ln(e) = 1 and divide by t
Find the exterior of a rectangle in a polygon
The measure of each exterior angles of rectangle is 90°
Finding the exterior of a rectangle in a polygonFrom the question, we have the following parameters that can be used in our computation:
A rectangle
A rectangle is a polygon with 4 sides
So, the measure of the exterior angle can be calculated using the formula for the exterior angles in a polygon
The exterior angles in a polygon are found by using:
Exterior of a rectangle in a polygon = 360°/Number of sides of the polygon
In this case,
The number of sides of the rectangle = 4
So, we have
Exterior of a rectangle = 360°/4
Evaluate
Exterior of a rectangle = 90°
Hence, the value of the measure of each exterior angles of rectangle is 90°
Read more about polygons at
https://brainly.com/question/8409681
#SPJ1
Complete question
Find the measure of each exterior angles of rectangle?
Step by step
(1 point) Let y=ex/5. Find the differential dy when x=2 and dx=0.2 Find the differential dy when x=2 and dx=0.01
\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the Differential Calculus.
Since, we know this is a definite calculus,
thus we get here as, by using the Chain Rule.
A population of values has a normal distribution with
μ
=
124.9
and
σ
=
45
. You intend to draw a random sample of 36 items from this population.
Find the probability that the mean of this sample is less than 105.4.
The probability that the mean of this sample is less than 105.4 is 14.46%
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
\(z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\x=raw\ score, \sigma=standard\ deviation, \mu=mean,n\ is\ sample\ mean\\\\\\Given\ that\ \sigma=45,\mu=124.5,n\ =36,hence:\\\\For\ x<105.4:\\\\z=\frac{105.4-124.9}{45/\sqrt{36} }=-1.06\)
From the normal distribution table, P(x < 105.4) = P(z < -1.06) = 0.1446 = 14.46%
The probability that the mean of this sample is less than 105.4 is 14.46%
Find out more at: https://brainly.com/question/7449180