The coordinates of vertex B' are (-1,3)
What is reflection?Reflection is a mathematical transformation in which a image of an object is formed by flipping it over a reflection line a distance equal to the distance of the object from the reflection line.
Analysis:
When an object is reflected along the y-axis, only the the x-coordinate changes , if reflected along the x-axis, only the y-coordinate changes.
So vertex B' is a reflected vertex along the y- axis since it is at x=2
The distance of the x-coordinate of vertex B from the mirror line is 5-2 = 3
so the x-coordinate of vertex B' is going 3 units away from the mirror line which is at -1.
So the coordinates of vertex B' are (-1,3)
In conclusion, the coordinates of vertex B' reflected over the line X= 2 are (-1,3)
Learn more about transformation: brainly.com/question/4289712
#SPJ1
What is the value of the dot shown on the number line below? If the answer is not an integer, enter it as a fraction or mixed number.
QUESTION 3 Simplify the following expression 3.1.1 Add:-4
x+6+11x - 5
Answer:
-24 + (-55) = -79
Step-by-step explanation:
-4x+6+11x - 5
Step-by-step explanation:
[tex] = x + 6 + 11x - 5[/tex]
Organize the expression....
[tex] = x + 11x + 6 - 5[/tex]
Simplify the expression...
[tex] = 12x + 1[/tex]
...
Which is the length of the hypotenuse of the triangle? Triangle A B C. Side A C is 12 feet and side C B is 35 feet. StartRoot 94 EndRoot ft
Answer:37
Step-by-step explanation:
just took the test
At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?
__5___Sprinkles
THAT IS THE ANSWER
If 10 donuts are sold. Then the expected value of the number of sprinkles will be 5.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
The expected value will be given as
E(X) = np
At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data.
If 10 donuts are sold.
Then the number of the sprinkles will be
The probability will be
p = 3/6
p = 0.5
n = 10
Then the expected value of the number of the sprinkles will be
E(x) = 10 x 0.5
E(x) = 5
Learn more about binomial distribution here:
https://brainly.com/question/13609688
#SPJ1
A box with square base and a height of 8cm has a volume of 1 332 cm3. find the length of the side base
Answer:
12.9 cm
Explanation:
Volume of rectangular box = Length × Width × Height
Given following:
Height = 8 cmConsider one of the base side as xSolve for volume:
L × W × H = Vx × x × 8 = 1332x² = 1332/8x = √166.5 ≈ 12.9 cmThe exchange rate of mexican pesos for u.s. dollars is approximately 10 pesos for 1 dollar. if lynn exchanged 4,000 pesos for u.s dollars, what was the approximate value in u.s.dollars
400 dollars
4000/10=400 dollars
Which choice could represent the surface area of a pyramid? 75.6 feet superscript 4 75.6 feet cubed 75.6 feet squared 75.6 feet
The choice that could represent the surface area of a pyramid is 75.6 feet squared
Surface area of a pyramid.The surface area of an object is the total sum of the area of its net. The surface area of any object is expressed in square units.
For instance, a pyramid with 4 triangles and a base area with al the units in feet can be expressed as:
TSA = area of 4 triangles + area of the base
Hence the choice that could represent the surface area of a pyramid is 75.6 feet squared
Learn more on surface area here: https://brainly.com/question/16519513
#SPJ4
Answer:
C/3
Step-by-step explanation:
!!100!! POINTS PLEASE HELP!!
Answer:
x = 5
Step-by-step explanation:
The triangles are similar by AA similarity.
They share a common angle (∠A) and have an angle of 90°.
Since they are similar, we can takes the sides in proportion.
[tex]\frac{BC}{DE} = \frac{AB}{BD}[/tex]8/16 = x/10x/10 = 1/2x = 10/2x = 5Answer:
x = 10.
Step-by-step explanation:
Triangles ABC and ADE are similar so their corresponding sides are in the same ratio.
So we have:
8/16 = x / (x + 10)
16x = 8(x + 10)
16x - 8x = 80
8x = 80
x = 10
A simple random sample from an infinite population is a sample selected such that.
A simple random sample from an infinite population is a sample selected such that each element is selected independently and from the same population.
What is Simple Random Sampling?Simple random sampling is known to be a types of sampling where there are no laws, rules etc., on how to select the samples.
Note that it is seen easiest way of sampling and as such, A simple random sample from an infinite population is a sample selected such that each element is selected independently and from the same population.
See full question below
A simple random sample from an infinite population is a sample selected such that:
a. each element is selected independently and from the same population
b. each element has a 0.5 probability of being selected
c. each element has a probability of at least 0.5 of being selected
d. the probability of being selected changes
Learn more about random sample from
https://brainly.com/question/24466382
#SPJ1
Learn with an example
on the last day of a shakespeare class, an english teacher asked her students which play
they liked most. out of the 12 students, 3 liked macbeth best.
what is the probability that a randomly selected shakespeare student likes macbeth best?
write your answer as a fraction or whole number.
p(macbeth) =
Find the volume of the figure
Answer:
[tex]800\pi yd^3[/tex]
Step-by-step explanation:
[tex]A = 10\pi ^2(8)\\= 800\pi yd^3[/tex]
Answer: 2513.27 yd³
Step-by-step explanation:
Volume of a cylinder:
-> This formula means we are finding the area of the base circle and multiplying it be the height
V = πr²h
V = πr²h
V = π(10)²(8)
V ≈ 2513.27 yd³
The volume of the figure is about 2513.27 yd³.
x² + y² = 8
x - y = 0
Select all of the following that are solutions to the system shown.
O (2, 2)
O (2,-2)
O (-2,2)
0 (-2,-2)
Answer:
[tex](2,2)~ \text{and}~ (-2,-2)[/tex]
Step by step explanation:
[tex]x^2 +y^2 =8~~~~~~...(i)\\\\x-y=0~~~~~~~~~...(ii)\\\\\text{From (ii):}\\\\x-y = 0 \implies x = y\\\\\text{Substitute x = y in eq (i):}\\\\~~~~~~y^2 +y^2 =8\\\\\implies 2y^2 = 8\\ \\\implies y^2 = \dfrac 82\\\\\implies y^2 = 4\\\\\implies y = \pm\sqrt 4\\\\\implies y = \pm 2\\\\\text{Substitute y = x in equation (i):}\\ \\~~~~~~x^2 +x^2 = 8\\ \\\implies 2x^2 = 8\\\\\implies x^2 = \dfrac 82\\\\\implies x^2 = 4\\\\\implies x = \pm\sqrt 4\\\\\implies x = \pm2\\\\[/tex]
[tex]\text{Hence,}~ (x,y) = (\pm2, \pm 2)[/tex]
Please help me with these questions. Thank you.
Answer:
36 x⁸y⁶
√2/2
Step-by-step explanation:
Factor 1296 into its prime factors
1296 = 24 • 34
To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.
Factors which will be extracted are :
1296 = 24 • 34
No factors remain inside the root !!
To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
36 = 22 • 32
At the end of this step the partly simplified SQRT looks like this:
36 √(x¹⁶y¹²)
STEP2:Simplify the Variable part of the SQRT
Rules for simplifing variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
√(x⁸)=x⁴
√(x^-6)=x^-3
Applying these rules to our case we find out that
SQRT(x¹⁶y¹²) = x⁸y⁶
Combine both simplifications
sqrt (1296x¹⁶y¹²) = 36 x⁸y⁶
Simplified Root : 36 x⁸y⁶
number 2)
3√2/3√4=
=3√2/3×2
=3√2/6
=3√2/6 ×3/3
=1√2/2
=√2/2
Jayne stacked 2 cubes on top of each other as shown. The edge length of the smaller cube is half the edge length of the cube below it. What is the surface area of the new figure?
Considering the surface area of a cube, and that the figure has two cubes, the total surface area is of 1470 m².
What is the surface area of a cube?The surface area of a cube of edge length a is given by:
S(a) = 6a².
In this problem, we have two cubes, one with a = 14 m and the other with a = 7 m. Hence, the total surface area, in m², is given by:
S(a) = 6 x 14² + 6 x 7² = 1470.
More can be learned about the surface area of a cube at https://brainly.com/question/3344483
#SPJ1
What is the answer F, G, H or J
Answer:
G its G
Step-by-step explanation:
1. Adrian invests $10,000 in an account that increases by 8% each year. What is the balance in the account after 15 years?
Answer:
$162000
Step-by-step explanation:
8% of 10000
10000÷100=100×8=800
10000+800=10800
10800×15=162000
i don't know exactly what to do
Answer:
Step-by-step explanation: Just relax effortlessly. Communion Kant be for All unless we are primed for purpose...
Option 1: use the applet to construct circles for problems 1 & 2 or 3 & 4.
take a screenshot and insert them into your student companion.
1. circle a, with a diameter of
6 cm.
2. circle c, with a radius that is
equal to circle a's diameter.
3. circle b, with a radius of 5
cm.
4. circle d, with a diameter
that is equal to circle b's
radius.
Answer:
9
Step-by-step explanation:
Option 1: use the applet to construct circles for problems 1 & 2 or 3 & 4.
take a screenshot and insert them into your student companion.
1. circle a, with a diameter of
6 cm.
2. circle c, with a radius that is
equal to circle a's diameter.
3. circle b, with a radius of 5
cm.
4. circle d, with a diameter
that is equal to circle b's
radius.
whats 6 divided by 161?
Answer:
0.03
Step-by-step explanation:
You can do this on a calculator.
6 ÷ 161 = 0.0372670807
Hope this helped
Which expression represents the volume, in cubic units, of empty space in the cube? four-thirdsπ(4.53) – (4.5)3 (9)3 – four-thirdsπ(4.52) four-thirdsπ(4.53) – (9)3 (9)3 – four-thirdsπ(4.53)
The expression that represents the volume of the empty space is 9³ - 4 / 3 π(4.5)³ cubic units.
How to find the expression for volumes?
The volume of the empty space can be represented as follows
volume of the empty space = volume of cube - volume of sphere
Therefore,
volume of sphere = 4 / 3 πr³
where
r = radiusVolume of cube = L³
where
L = side lengthTherefore,
volume of cube = 9³
volume of sphere = 4 / 3 π(4.5)³
Hence,
volume of the empty space = 9³ - 4 / 3 π(4.5)³
learn more volume here: https://brainly.com/question/27704437
#SPJ4
Answer:
D
Step-by-step explanation:
other dude typed too much lam
Find the value of x.
11.4
12.6
18.9
15.3
An open box is to be made out of a 6-inch by 18-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. find the dimensions of the resulting box that has the largest volume.
dimensions of the bottom of the box:
height of the box:
An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume.
Dimensions of the bottom of the box: L x W
Height of the box:
SOLUTION
Diagram
Cardboard with x2 area cutouts...
··················14 - 2x
···x··¦¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¦···x··
¦——¦·······························¦——¦
¦·············································¦
¦·············································¦ 6 - 2x
¦·············································¦
¦——¦·······························¦——¦
···x··¦___________________¦··x···
Volume = l·w·h
After cutouts:
l = 14 - 2x
w = 6 - 2x
h = x
V = (14 - 2x)(6 - 2x)(x) in3
V = 4x3 - 40x2 + 84x in3
To maximize the volume, take the derivative of V with respect to x, set it equal to zero, and solve for x:
dV/dx = 0 = 12x2 - 80x + 24
x2 - (20/3)x + 7 = 0
x = (10 ± √37)/3 in
Since (6 - 2x) yields a negative number for x = (10 + √37)/3 we use only x = (10 - √37)/3
Thus, the dimensions are:
l = 14 - 2x = 11.39 in
w = 6 - 2x = 3.39 in
h = x = 1.31 in
Base = l·w = 38.59 in2
Volume = 50.39 in3
Using the image above, what is the measure of Angle J? Round to the nearest hundredth
Answer:
∠J = 31.06°
Step-by-step explanation:
Taking the inverse sin function :
sin ∠J = 1.6/3.1J = sin⁻¹ (0.516)∠J = 31.06°Helloppp i need hwlp with this plllss
Put the numbers from least to greatest: .3, 2/3, .36, 35%, 1/3
Answer:
0.3, 1/3, 35%, 0.35, 2/3
Step-by-step explanation:
The table below represents the function f, and the following graph represents the function g. x -6 -5 -4 -3 -2 -1 0 1 f(x) 8 -2 -8 -10 -8 -2 8 22 Complete the following statements. The functions f and g have . The y-intercept of f is the y-intercept of g. Over the interval [-6, -3], the average rate of change of f is the average rate of change of g
Answer:
Complete the following statements.
The functions f and g have the same axis of symmetry.
The y-intercept of f is greater than the y-intercept of g.
Over the interval [-6, -3], the average rate of change of f is less than the average rate of change of g.
You decide that you will only sell two different types of frozen treats in your
ice-cream cart. You use the following criteria to help you make your decision:
• You will purchase 550 frozen treats for your cart.
• You have a budget of $450.
• Your goal is to make a profit of at least $700.
Which two frozen treats will you sell in your ice-cream cart, and how many of
each treat will you purchase? Show that your combination of frozen treats
meets the criteria.
Based on the given scenario above, the purchase decision will be I will chose Ice cream bar fruit and frozen bar fruit.
What is Purchase decision?This is know to be the thought method or act that helps a consumer to identify a need, gather options, and choosing a given product and brand.
Note that Based on the given scenario above, the purchase decision will be I will chose Ice cream bar fruit and frozen bar fruit.
If I am to purchase 550 frozen treats, I will buy:
Ice cream bar fruit = 300
Frozen bar fruit = 250
Therefore, for Ice cream bar fruit , it will be = amount x cost price
300 x 0.85 = 255
For Frozen bar fruit = 250 x 0.50
= 125
Add up the total cost= 255 + 125
Total amount spent will be= 380
Therefore we can see that the total price spent falls within the budget allocated and so I will choose both Ice cream bar fruit and frozen bar fruit.
Learn more about purchase decision from
https://brainly.com/question/7029808
#SPJ1
pls my test is tomorrow and its 11:30pm lol:(. so the question, a person at the top of a 25 yard tall hill looks down at a tree that is 100 yards diagonally away from the person. what is the angle of depression from the person to the tree
Answer:
76°
Step-by-step explanation:
Taking the cosine ratio of the angle of depression :
cos θ = height of hill / distance from person diagonallycos θ = 25/100cos θ = 1/4θ = cos⁻¹ (0.25)θ = 76° (nearest whole degree)None shall sleep ellie marney theme
Answer:
“teenager protagonists confronting horror”
Step-by-step explanation:
Marney herself said that she wrote the story specifically about “teenager protagonists confronting horror” for a teenage audience to give them “comfort” and impart a powerful message: “you are strong enough to deal with this. You have been in far worse situations and survived.
Answer:
I love sleep
Step-by-step explanation:
Verify if x > 1 is the solution to the inequality 7 - 4x > −2 (3x - 5).
Answer:
No, x>3/2
Step-by-step explanation:
Too lazy sorry.
