28.4.2 Test (CST): Transformations, Congruence, and Similarities, Part 2
Quadrilateral RUST has a vertex at R (1,5).
T
S
What are the coordinates of R'after the translation (x, y) → (x+1, y-1),
Answer:
R'(2,4)
Step-by-step explanation:
When doing translations you subtract or add within the coordinates like a normal problem.
If it helps you, write it as seperate equations like:
1-1 and 5-1
Hope that helps ✓
2.8 devided by 7.2 as a decimal
Answer: 0.388
8 continuing so draw a line over the eights.
Given limit of f (x) = 4 as x approaches 0. what is limit of one-fourth left-bracket f (x) right-bracket superscript 4 baseline as x approaches 0? 0 4 64 128
The limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64
Limit of a functionGiven the following limit of a function expressed as;
[tex]\lim_{x \to 0} f(x)=4[/tex]
We are to determine the value of the function
[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4[/tex]
This can also be expressed as
[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4\\ = \frac{1}{4}(4)^4 \\=1/4\times 256\\=64[/tex]
Hence the limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64
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Sally has 90 apples and she adds a double of what she subtracts. Now, she has 1/4 of 1000. How much does she add?
Answer:
I think it's 160...
Step-by-step explanation:
1/4 of 1000 is 250
250
- 90
____
160
If set A contains four distinct numbers and set B contains seven distinct letters, how many elements are in (A U B)?
There are 11 elements are in (A U B)
How to determine the number of elements?The given parameters are:
n(A) = 4
n(B) = 7
The number of elements in (A U B) is calculated using:
n(A U B) = n(A) +n(B) - n(A U B)
Given that the sets have distincts elements, we have:
n(A U B) = 4 + 7 - 0
Evaluate
n(A U B) = 11
Hence, there are 11 elements are in (A U B)
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Answer: There are 11 elements are in (A U B)
Step-by-step explanation:
A family purchases a Light sphere to be used out on their patio. The diameter of the sphere is 20 inches. What is the volume of the light sphere? Use 3.14 for pi. Enter your answer as a decimal and round only your final answer to the nearest hundredth.
Two people had different answers but had 5 stars. So can someone explain how to solve this question correctly. Thank you in advance
Answer:
The answer is 4188.79 ft^3.
Step-by-step explanation:
The formula is V=4/3πr^3. The radius is 10, turning that into V=4/3π10^3. 10^3 is 1000, and 1000 times 4/3 is 1333.33. 1333.33 times 3.14 (or π) is equal to 4188.79 ft ^3 rounded to the nearest 100th. I hope this helps! :)
a computer purchased for $2 500 and its value depreciates at 5% per month. a).write the equation that models the situation. explain what each equation represent. b) determine the value of the computer after 2 years. c) in which month after it is purchased does the computer's worth fall below $1 000?
Answer:
a(y=-5x+2500) b(2,380) c(25months)
Step-by-step explanation:
someone point out if I'm wrong. I'm not so sure about "c".
(how I got b)
So 2 years=24 months
y=-5x+2500
So x would be 24.
-5(24)+2500
-120+2500
2,380
The graph shows a probability distribution. What is P(X<3)?
The value of probability P(X<3) is 0.3 after calculating the area up to 3 option second is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a probability distribution shown in the picture.
To find the probability P(X<3) = area up to 3
From the probability distribution:
P(X<3) = (1/2)×3×(0.20)
P(X<3) = 1.5×0.20
P(X<3) = 0.3
Thus, the value of probability P(X<3) is 0.3 after calculating the area up to 3 option second is correct.
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Sanjay has ordered 30 slices of pizza for 7 people, including himself. If everyone gets an equal share, how many slices will each person get and what is the remainder? Choose the answer in the form (quotient)r (remainder).
please help i'm retaking a test because i don't have my head in the game! :C
Answer:
Each person get 4 slice of pizza and 2 is remaining
Find the 24th term of the sequence:
11, 16, 21, . . .
Answer:
126
Step-by-step explanation:
The difference between the first two terms of this sequence is 5 (16 - 11 = 5). The difference between the second and third terms of this sequence is also 5 (21 - 16 = 5).
So, we can assume that the difference between each term in this sequence is 5. To get from the first term (11) to the second term (16) we had to add 5 once. (or, add 5 x 1 [time])
To get from the first term (11) to third (21), we had to add 5 twice
(or, add 5 x2)
*repeated addition, such as 5+5+5 is the same thing as multiplication. If we are adding 5 three times, we will get the same outcome as 5 x 3.
So, to get from the first term (11) to the 24th term, we will have to add 5 23 times, or 5 x 23
5 x 23 = 115
11 + 115 = 126
Making 126 the 24th term of the sequence
Question 11
Solve the simultaneous equations
4x + 2y = 9
x - 2y = 1
The value of x and y is (5,2)
We have given that,
4x + 2y = 9 ........(1)
x - 2y = 1.......(2)
We have to solve the simultaneous equation
What is the simultaneous equation?
A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
adding equations 1 and 2 so we get,
4x + 2y = 9
x - 2y = 1
----------------
5x-0y=10
[tex]5x=10\\x=10/2\\x=5[/tex]
Use the value of x in equation 2 so we get,
[tex]5-2y=1[/tex]
[tex]-2y=1-5[/tex]
[tex]-2y=-4[/tex]
[tex]y=-4/-2[/tex]
[tex]y=2[/tex]
Therefore the value of x and y is (5,2)
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could someone pleasee help me will give brainliest
What is the force, in N, when a pressure of 22 N/m² is exerted on an area of 750 cm²?
Answer:
1.65 N
Step-by-step explanation:
Step 1: convert cm^2 to m^2
1 cm^2 = 0.0001 m^2
750 cm^2 = 0.075 m^2
Step 2: multiply pressure by area
F = P*A = 22 N/m^2 * 0.075 m^2 = 1.65 N
help me out bro please give me the right answer
Answer:
Always
Step-by-step explanation:
The alternate interiors are the orange pair and the green pair in between lines a and b. They've got symmetry! Rotating one of those lines 180 degrees won't change the picture or the angles of intersection, but it will flip one onto the other. Anyway, there's you answer above, if that's all you're looking for.
Any ideas for solving this beast
Answer:
option c
Step-by-step explanation:
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the pairs of polynomials to their products. (xy + 9y + 2) and (xy – 3) x2y2 + 3x2y – 7xy – 27x – 18 (2xy + x + y) and (3xy2 – y) 6x2y3 – 2xy2 + 3x2y2 – xy + 3xy3 – y2 (x – y) and (x + 3y) x3y + 3x2 + 3x2y2 + 7xy – 6 (xy + 3x + 2) and (xy – 9) x2 – 9y2 (x2 + 3xy – 2) and (xy + 3) (x + 3y) and (x – 3y)
The products of the polynomials are:
(xy + 9y + 2) * (xy - 3) = x²y² - xy + 9xy² - 27y - 6(2xy + x + y) * (3xy² - y) = 6x²y³ - 2xy² + 3x²y² -xy + 3xy³- y²(x - y) * (x + 3y) = x² + 2xy + 3y²(xy + 3x + 2) * (xy – 9) = x²y² - 7xy + 3x²y - 27x - 18(x² + 3xy - 2) * (xy + 3) = x³y + 3x² + 3x²y² + 7xy - 6(x + 3y) * (x – 3y) = x² - 9y²How to evaluate the products?To do this, we multiply each pair of polynomial as follows:
Pair 1: (xy + 9y + 2) and (xy – 3)
(xy + 9y + 2) * (xy - 3)
Expand
(xy + 9y + 2) * (xy - 3) = x²y² - 3xy + 9xy² - 27y + 2xy - 6
Evaluate the like terms
(xy + 9y + 2) * (xy - 3) = x²y² - xy + 9xy² - 27y - 6
Pair 2: (2xy + x + y) and (3xy² - y)
(2xy + x + y) * (3xy² - y)
Expand
(2xy + x + y) * (3xy² - y) = 6x²y³ - 2xy² + 3x²y² -xy + 3xy³- y²
Pair 3: (x – y) and (x + 3y)
(x - y) * (x + 3y)
Expand
(x - y) * (x + 3y) = x² + 3xy - yx + 3y²
Evaluate the like terms
(x - y) * (x + 3y) = x² + 2xy + 3y²
Pair 4: (xy + 3x + 2) and (xy – 9)
(xy + 3x + 2) * (xy – 9)
Expand
(xy + 3x + 2) * (xy – 9) = x²y² - 9xy + 3x²y - 27x + 2xy - 18
Evaluate the like terms
(xy + 3x + 2) * (xy – 9) = x²y² - 7xy + 3x²y - 27x - 18
Pair 5: (x² + 3xy - 2) and (xy + 3)
(x² + 3xy - 2) * (xy + 3)
Expand
(x² + 3xy - 2) * (xy + 3) = x³y + 3x² + 3x²y² + 9xy - 2xy - 6
Evaluate the like terms
(x² + 3xy - 2) * (xy + 3) = x³y + 3x² + 3x²y² + 7xy - 6
Pair 6: (x + 3y) and (x – 3y)
(x + 3y) * (x – 3y)
Apply the difference of two squares
(x + 3y) * (x – 3y) = x² - 9y²
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Need help don't understand
Answer:
she should get ready by 11:10
Step-by-step explanation:
Add All the time up 75(1 hour 15min=60+75)+40+25+30=170minutes
170minutes/60= 2 hour 50minutes
subtract 2 hour 50minutes from 2:00
= 11:10
2(z + 5) + 5(z + 2) = 10 (z - 1)
Answer:
z = 10
Step-by-step explanation:
simplify to
2z + 10 + 5z + 10 = 10z-10
2+5z-10z=-10-10-10
-3z = -30
z = 10
give brainiest please!
hope this helps :)
Answer:
z = 10
Step-by-step explanation:
Distribute:
(2z + 5) + 5(z + 2) = 10(z - 1)
2z + 10 + 5(z + 2) = 10(z - 1)
and distribute again:
2z + 10 + 5(z + 2) = 10(z - 1)
2z + 10 + 5z +10 = 10(z - 1)
and add the 2 tens that are in bold.
2z + 10 + 5z +10 = 10(z - 1)
2x + 20 + 5z = 10(z-1)
Theres a lot more steps but just
comebine like terms
Distribute
Stubtract 20 from both sides
simplify
subtract 10z from both sides
simplfy
divide both sides by the same factor
and simplfy.
The volumes of two similar solids are 512 cm3 and 2,197 cm3. If the smaller solid has a surface area of 960 cm2, find the surface area of the larger solid.
Part I: Find the similarity ratio by taking the cube root of each volume. Show your work. (2 points)
Part II: Use your answer from Part I to find the ratio of the surface areas. Show your work. (2 points)
Part III: Set up a proportion and solve to find the surface area of the larger solid. (3 points)
The similarity ratio by taking the cube root of each volume is 8/13, ratio of the surface areas is 64/169, and surface area of the larger solid is 2535 square cm.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
Part 1:
Volume of larger solid = (512) cubic cm
Volume of small solid = 2197 cubic cm
Ratio of the volumes = 512/2197
Taking cube root:
Similarity ratio = 8/13
Part 2:
Similarity ratio by taking the cube root of each volume = 8/13
Taking the square of the above ratio:
= 64/169
Part 3:
64/169 = 960/SA(larger)
SA(larger) = 2535 square cm
Thus, the similarity ratio by taking the cube root of each volume is 8/13, ratio of the surface areas is 64/169, and surface area of the larger solid is 2535 square cm.
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Jamaal and his father have 1,920 stamps from around the world. They want to place the stamps in display cases that each hold 72 stamps. How many display cases can Jamaal and his father completely fill with the stamps?
Answer:
26 display cases
Please give brainliest!
Hope this helps :)
if Jamaal has 1920 stamps, and he wants to place them in diplay cases that can each hold 72 stamps, we figure out how many display cases can be filled with stamps by finding out 1920/72
This gives us 26 2/3, but 2/3 isn't 1.
he can fill 26 cases
HELP PLEASE !!!!!!!!!!!
Answer:
I think A sorry if wrong
Step-by-step explanation:
have a good day
Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?
Answer:
Answer
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Assuming the time changes at a constant rate, the equation for this is linear (so has the equation y=mx +c)
8am = -2
9am = -0.5
10am = 1.0
11am = 2.5
12pm = 4
m = change in each value or the slope , for this it is m=1.5
c = the y intercept, we find this by: when x=8 y must = 1.5 , which it isn't , y has to = -2 . So c = -3.5
The equation then is: y= 1.5*x - 3.5
The gradient/slope/m value is 1.5. The answer is 1.5
Jenny wants to start an after-school club, so she decides to survey the student body to determine which club would be the most popular: French Club, Architecture Club, or Anime Club. She decides (with Mrs. Howell's permission) to survey the first 25 students who show up to her class one day.
Does her survey comprise an accurate representation of the Reach student body? Why or why not?
Answer:
no because it just reaches one class, not the student body
Step-by-step explanation:
A money market account is a collection of stock and bonds true or false
Answer:
A money market fund is a type of mutual fund that invests in high-quality, short-term debt instruments and cash equivalents.
B Which of the statements is true about the polygons below E D 120 degrees C 90 90 60 60 120 degrees 90 90 F D Polygon A Polygon B A. It is possible to circumscribe a circle around each polygon because they are both quadrilaterals. B. It is not possible to circumscribe a circle about either polygon because they are both quadrilaterals. C. It is possible to circumscribe a circle about the parallelogram on the left only, because opposite angles must be supplementary D. It is possible to circumscribe a circle about the rectangle because its opposite angles are supplementary
The statement that is true about the polygons is: the opposite angles of the rectangle are supplementary, therefore, a circle can be circumscribed about the rectangle.
What is a Circumscribed Quadrilateral?An circumscribed quadrilateral is a quadrilateral whose four side lie tangent to the circumference of a circle. The opposite angles in an inscribed quadrilateral are supplementary, that is, when added together, their sum equals 180 degrees.
From the two figures given, the opposite angles of the rectangle are supplementary, therefore, a circle can be circumscribed about the rectangle. (Option D).
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Which system of equations has a solution of (-2,-2,-2)?
OA
s+y=0
3-==-2
s+y=z=-4
OB. 31 - y = -8
y - 3z = -8
2 + y + z = -8
OC.
1 + 2y = -6
y + 2z = -6
I-y-z = 2
OD. 1-2y + z = 0
2y +9z = -20
I= y + z = 0
The system of equations that have a solution of (-2,-2,-2) is (b) x + 2y = -6, y + 2z = -6 and x - y - z = 2
How to determine the system of equations?The attached figure represents the proper format of the equations.
The solution is given as:
(x,y,z) = (-2,-2,-2)
To determine the system of equation, we simply substitute the values of x, y and z in the equations in the options.
So, we have:
Option 1:
x + y = 0
y - z = -2
x + y - z = -4
Evaluate
x + y = 0
-2 - 2 = 0 --- False
This means that this system of equations do not have a solution of (-2,-2,-2)
Option 2:
x + 2y = -6
y + 2z = -6
x - y - z = 2
Evaluate
x + 2y = -6
-2 + 2 * -2 = -6 --- True
y + 2z = -6
-2 + 2 * -2 = -6 ---- True
x - y - z = -2
-2 + 2 + 2 = 2
This means that this system of equations have a solution of (-2,-2,-2)
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3+x=7 what is x .........................
Answer:
4
Step-by-step explanation:
x = 7 - 3
x = 4
Answer:
x = 4
Step-by-step explanation:
3+x = 7
Subtract 3 from each side
3+x-3 = 7-3
x = 4
Find the area of the circle formed when a plane passes 7 cm from the center of a sphere with radius 8 cm. give your answer in terms of pi.
The area of the circle formed when the plane passes through the center of the given sphere is: 15π cm².
What is the Area of a Circle?Area of a circle = πr² (radius of the circle = r).
Given the following:
Radius of sphere = 8 cmDistance of the plane from the center of the sphere = 7 cmRadius of the circle = √((radius of sphere)² - (distance of the plane from the center of sphere²)) = √(8² - 7²)
Radius of the circle = 3.87 cm
Area of the circle = π(3.87²) ≈ 15π cm².
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Sean spends 35 minutes revising for his exam. Erica spends 1 hours 15 minutes revising for her exam. Work out the total time, in minutes, spent revising by Sean and Erica. please help ASAP
The total time spent in minutes is 110 minutes
How to determine the total time?The given parameters are:
Erica = 1 hour, 15 minutesSean = 35 minutesThe total time is calculated as:
Total = Erica + Sean
So, we have:
Total = 1 hour, 15 minutes + 35 minutes
1 hour = 60 minutes
So, we have:
Total = 60 minutes + 15 minutes + 35 minutes
Evaluate the sum
Total = 110 minutes
Hence, the total time spent is 110 minutes
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Type the correct answer in each box. use numerals instead of words. what are the x-intercept and vertex of this quadratic function? g(x) = -5(x-3)^2 write each feature as an ordered pair: (a,b). the x-intercept of function g is . the vertex of function g is .
Considering the given quadratic function, we have that:
The x-intercept is (3,0).The vertex is (3,0).What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
In this problem, the function is given by:
g(x) = -5(x - 3)²
Hence h = 3, k = 0, and the vertex is (3,0).
What are the x-intercepts of a function g(x)?They are the values of x for which g(x) = 0, hence:
-5(x - 3)² = 0
(x - 3)² = 0
Applying the root to both sides:
x - 3 = 0.
x = 3.
The x-intercept is (3,0).
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