Answers
Step-by-step explanation
i had to turn my laptop just to read that
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Both rectangles have the same dimensions and shape. P'Q'R'S' is a translated image of PQRS, shifted 3 units right and 3 units up. They are congruent but not identical due to their position.
Step-by-step comparison of rectangles PQRS and P'Q'R'S':
1. Original coordinates:
Assume specific coordinates for the vertices of rectangle PQRS. For example, let P = (1, 2), Q = (5, 2), R = (5, 6), and S = (1, 6).
2. Translation:
A translation moves every point in the shape the same distance and in the same direction. Since Rashid translated rectangle 3 units up and 3 units to the right, add 3 to x-coordinate and 3 to y-coordinate of each point in PQRS to find corresponding points in P'Q'R'S'.
3. New coordinates:
P' = (1 + 3, 2 + 3) = (4, 5)
Q' = (5 + 3, 2 + 3) = (8, 5)
R' = (5 + 3, 6 + 3) = (8, 9)
S' = (1 + 3, 6 + 3) = (4, 9)
4. Comparison:
Shape:
Both rectangles PQRS and P'Q'R'S' are rectangles because a translation preserves the shape of the original figure.
Size:
They have the same dimensions (length and width) as the translation only shifts the position without altering the size.
Orientation:
They maintain the same orientation relative to the axes, meaning their sides remain parallel and perpendicular to the x and y axes.
Position:
The key difference lies in their position. P'Q'R'S' is located 3 units to the right and 3 units above PQRS.
5. Rectangles PQRS and P'Q'R'S' are congruent (same size and shape) but not identical (different positions).
P'Q'R'S' is a translated image of PQRS, moved 3 units to the right and 3 units up.
Related Questions
In the summer, you charge people $10 for going to their house to mow lawns, then $6 for every hour you mow. If you make $34 one day, how many hours did you spend mowing?
Answers
Answer: 4 hours
Step-by-step explanation:
10+6=16
16+6=22
22+6=28
28+6=34
Which probability distribution table corresponds with this frequency distribution table?
Answers
Answer:
Table 2
Step-by-step explanation:
The given frequency distribution table is
X : 1 2 3 4 5
f : 11 1 2 4 2
The sum of frequencies is
[tex]\sum f=11+1+2+4+2=20[/tex]
The formula for probability is
[tex]P_i=\frac{f_i}{\sum f}[/tex]
where, [tex]f_i[/tex] is frequency and [tex]\sum f[/tex] in the sum of frequencies.
For X=1,
[tex]P_1=\frac{11}{20}=0.55[/tex]
For X=2,
[tex]P_2=\frac{1}{20}=0.05[/tex]
For X=3,
[tex]P_3=\frac{2}{20}=0.1[/tex]
For X=4,
[tex]P_4=\frac{4}{20}=0.2[/tex]
For X=5,
[tex]P_5=\frac{2}{20}=0.1[/tex]
The probability distribution table corresponds with the given frequency distribution table is
X : 1 2 3 4 5
P : 0.55 0.05 0.1 0.2 0.1
Therefore, the correct option is 2.
The only probability distribution table that corresponds with the frequency distribution table is; Second table
From the given frequency distribution table, let's find the sum of the given frequencies. Thus;
Σf = 11 + 1 + 2 + 4 + 2
Σf = 20
Now,the probability for each value of x will be;
P_x = f_x/Σf
Where f_x represents the frequency of the given value of x.
Thus;
P_1 = 11/20
P_1 = 0.55
P_2 = 1/20
P_2 = 0.05
P_3 = 2/20
P_3 = 0.1
P_4 = 4/20
P_4 = 0.2
P_5 = 2/20
P_5 = 0.1
Looking at the tables in the options, in conclusion the only tables that have their P value corresponding with those we got for each value of x is Option B which is the second table.
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What are the values of x
Answers
Answer:
x=17
Step-by-step explanation:
Answer:
x=5 x=-3
Step-by-step explanation:
x - 15/x = 2
Multiply each term by x to get rid of the fraction
x(x - 15/x) = 2*x
x^2 -15 = 2x
Subtract 2x from each side
x^2 -2x -15 = 2x-2x
x^2 -2x-15 = 0
Factor the left hand side
(x-5) (x+3) =0
Using the zero product property
x-5=0 x+3 =0
x=5 x=-3
Plz help me!!!!!!!!!
Answers
Answer: 6
Step-by-step explanation:
x⁶ + x³ + 1 = 0
The only possible rational roots are ± 1.
Use synthetic division to see if either root is valid:
1 | 1 0 0 1 0 0 1
| ↓ 1 1 1 2 2 2
1 1 1 2 2 2 3 ← Remainder ≠ 0 so not a factor
-1 | 1 0 0 1 0 0 1
| ↓ -1 1 -1 0 0 0
1 -1 1 0 0 0 1 ← Remainder ≠ 0 so not a factor
Since there are no real roots, all 6 roots must be imaginary (complex). You can graph the equation to confirm (see attached). None of the roots cross the x-axis so they are all imaginary.
Find the quotient.
4^10
____
4^2
A. 4^8
B. 4^13
C. 4^-8
D. 4^-12
Answers
Answer:
Step-by-step explanation:
[tex]\frac{4^{10}}{4^2} = 4^{10 - 2} = 4^8[/tex]
Alternative A
I hope I helped you.
Answer:
A. 4^8
Step-by-step explanation:
When you divide powers with the same base, use the same base, and subtract the exponents.
Here is the rule:
[tex] \dfrac{a^m}{a^n} = a^{m - n} [/tex]
Here is your problem:
[tex] \dfrac{4^{10}}{4^2} = 4^{10 - 2} = 4^8 [/tex]
find the area of the semicircle with a diameter of 18in
Answers
The area of a semi-circle with a diameter of 18in is 127.17 inches squared
This figure consists of a rectangle and semi circle.
What is the perimeter of this figure?
You 3.14 for PI
A. 60.84 m
B. 72.84 m
C. 79.68 m
D. 98.52 m
Answers
The answer of the question is A
Answer: The answer to ur question is 60.84
Have a good one and can I get brainliest pls
The height of a triangle is six times the base write an expression for the area of the triangle and let x be the base
Answers
Answer:
A = 3x²Step-by-step explanation:
The formula fo an area of a triangle:
[tex]A=\dfrac{bh}{2}[/tex]
b - base
h - height
We have
x - base
6x - height
Substitute:
[tex]A=\dfrac{(x)(6x)}{2}=\dfrac{6x^2}{2}=3x^2[/tex]
Please hellppp me eeee
Answers
Answer:
Number 7 is A and Number 8 is D.
Answer:
The correct answers are
A) 2+10h
D) 40
Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit. Select all that apply. f(x)=2(3)^x g(x)=10log(x+3)
Answers
Hi. if you have acces to a ti-84 plus or a virtual to plug it into Y= and click 2nd and graph which will take you to the data table
Answer:
The correct option is 1.
Step-by-step explanation:
The system of equations is
[tex]f(x)=2(3)^x[/tex]
[tex]g(x)=10\log (x+3)[/tex]
Using graphing tool we can draw the graph as shown below.
From the below graph it is clear the graph of f(x) and g(x) intersect at (-1.944,0.236) and (1.004,6.025).
[tex](-1.944,0.236)\approx (-2,0.2)[/tex]
[tex](1.004,6.025)\approx (1,6)[/tex]
The approximate solutions of the given system of equations are (-2,02) and (1,6). Therefore only option 1 is correct.
which number is an irrational number
Answers
Answer:7 is an irrational number.
Step-by-step explanation: it can be expressed as the quotient of two integers: 7÷ 1.
On the attached drawing what is the name for Angle LHJ? Obtuse, acute, complementary or right?
Answers
Answer: Right (Last option)
Step-by-step explanation:
As you can see in the figure, the parallel lines AD and GJ are intersected by two lines.
The line EL intersects the parallel lines and there are two angles that are formed by this intersections which are located on the exterior of AD and GJ, but on opposite sides of EL, (these angles are called "Alternate exterior angles" and they are congruent), which are:
∠LHJ and ∠EBA
You can observe that the angle ∠EBA is indicated with a square. This means that the measure of that angle is 90° (Right angle).
Therefore, if ∠EBA=90°, then ∠LHJ =90°
Answer:
The correct answer is last option Right
Step-by-step explanation:
From the figure we can see that,
AD ║ GJ and LE is the traversal.
And also given <ABE = 90°
Fro figure we get <ABE and <GHB are corresponding angles. Corresponding angles are equal.
Therefore <GHB = 90°
To find the <LHJ
From figure we can see that <LHJ and <GHB are vertically opposite angles.
Vertically opposite angles are equal.
Therefore <LHJ = <GHB = 90°
formala to calculate time for exponential growth
Answers
Answer:
To calculate exponential growth, use the formula y(t) = a__ekt, where a is the value at the start, k is the rate of growth or decay, t is time and y(t) is the population's value at time t.
Mark as brainliest please..
To calculate the time for exponential growth, use the formula n = ln(M) / ln(b) for a specific multiple (M) and growth rate (b), or the Rule of 70 for estimating doubling time.
Explanation:Understanding Exponential Growth
The formula to calculate the time for exponential growth depends on the growth rate and the factor by which a quantity increases. If the growth rate is constant and represented as a percentage or fraction, the growth is exponential. For example, if a bacterial population doubles every hour, starting with 1000 bacteria, it will grow to 2000 after one hour, 4000 after two hours, and so on.
Calculating Time for Exponential Growth
One formula to find the time (n) to reach a certain multiple (M) of the original amount at a specific growth rate (b) is:
n = ln(M) / ln(b)
For instance, to calculate the time to increase by a factor of 1000 with an annual growth rate of 7% (b = 1.07):
n = ln(1000) / ln(1.07) ≈ 102 years
This equation shows that it would take approximately 102 years for the quantity to grow by a factor of 1000.
The Rule of 70
t = 70 / growth rate
t = 70 / 2.9 ≈ 24 years
The time it takes for exponential growth can vary significantly based on the growth rate and the factor of increase desired.
WILL GIVE THE BRAINLEST
Find the surface area of the triangular prism
Answers
Answer: 50
To find the surface area of any prism, you multiply the base by the height.
10 x 5 = 50
A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 2
C
The prism is filled with cubes that have edge lengths of 1/2 cm
How many cubes are needed to fill the rectangular prism?
Answers
Answer:
Step-by-step explanation:
first solve the volume of the rectangular prism
V = l x w x h
where l is the length
w is the width
h is the height
V = 7 x 4 x 2.5
v = 70 cu cm
then solve the volume of the box
v = e^3
v = 0.5^3
v = 0.125
number of cubes = 70 / 0.125
number of cubes = 560 cubes
Answer:
The number of cubes are needed to fill the rectangular prism = 448 cubes
Step-by-step explanation:
It is given that,
A rectangular prism has a length of 7 cm, a width of 4 cm, and a height of 2 cm. The prism is filled with cubes that have edge lengths of 1/2 cm
To find the volume of rectangular prism
Volume of rectangular prism = Length x Width X Height
Length = 7 cm, Width = 4 cm and height = 2cm
Volume = 7 x 4 x 2 = 56 cm³
To find the volume of small cubes
Volume of cube = a³
a = 1/2 cm = 0.5³ = 0.125
To find the number of cubes needed to fill prism
Number of cubes = Volume of prism/ volume of cube
= 56/0.125 = 448 cubes
Therefore the correct answer is 448 cubes
Jane orders cheese pizzas from a pizza restaurant that charges $8.00 per pizza. Jane has only $45.00 to spend on pizza. Jane’s cost in dollars is a function of the number of pizzas she orders
Answers
This question relates to the economic principle of a budget constraint. Jane can afford to purchase up to 5 pizzas with her budget, calculated via: Number of Pizzas = Total Budget / Unit Cost per Pizza.
Explanation:The subject of this question is related to an economic principle of budget constraint in mathematics. Here, Jane's budget constraint is her total budget of $45, and the unit cost per pizza is $8. The budget works as a restriction that states how many pizzas Jane can afford to buy. The number of pizzas she can buy can be calculated as her total budget divided by the unit cost per pizza.
Therefore, the question is asking you to determine how many pizzas Jane can afford to buy with her budget of $45. Using the formula Number of pizzas = Total budget / Unit cost per pizza, we get: Number of pizzas = $45 / $8 = 5.625.
Since Jane can't buy a fraction of a pizza, she can purchase up to 5 pizzas with her available budget.
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A fast typist can type 120 words in 100 seconds. At that rate, how many seconds would it take to type 258 words?
Answers
Answer:
215 seconds
Step-by-step explanation:
120 words : 100 seconds = 258 words : x seconds
x = 258*100/120 = 258*5/6 = 43*5/1 = 215 seconds
Answer: 120+120+ 18= 258
You know that it takes 100 seconds for 120 words
120=100 120=100 now we have to find now how many seconds does it take to make 18 words
help me please asap!
Answers
Answer:
xy=20
Step-by-step explanation:
Product indicates that you are multiplying.
Is means equal.
What is the surface area of this triangular prism rounded to the nearest tenth?
Answers
Step-by-step explanation:
Given
The measure of the length of the triangular prism is 5.3, height is 1.26, and width is 3.3,
Surface area triangular prism;
The surface area of a triangular prism is the total area covered by its surface in a three-dimensional plane.
The surface area of a triangular prism is given by;
Where a, b, and c are the sides of triangular bases and H is the height of the prism.
The measured side a is 5.3, b is 3.6, and c is 2.3.
Substitute all the values in the formula;
Hence, the surface area of this triangular prism is 43.6 square meters.
7x^2 + 14x − 105
plzzz helllp
Answers
Factor the polynomial
7(x-3)(x+5)
What is the quotient?
Answers
Answer:
= [tex]\dfrac{1}{5^{9}}[/tex]
Step-by-step explanation:
When dividing values with exponents, we simply need to subtract the numerators exponent to the denominators exponent.
So we have:
[tex]\dfrac{5^{-6}}{5^{3} }[/tex]
= [tex]5^{-6 - 3}[/tex]
= [tex]5^{-9}[/tex]
Now since we have a negative exponent, we can get the reciprocal of the value to make it positive.
= [tex]\dfrac{1}{5^{9}}[/tex]
Answer:
The answer is 1 / 5^(9)
Step-by-step explanation:
We just need to divide both numbers and find the result
(5)^-6 / (5)^3
(5)^(-6-(3)) =
(5)^(-9) =
1 / 5^(9) = 5,120 .10^(-7)
Which ones select all that apply?
Answers
Answer:
Step-by-step explanation:
Hello, this is a factorization algebra case:
a) 7(X+6)
b) 11y + 7
Best regards
3x-1=11 what is the value of x
Answers
Answer:
Step-by-step explanation:
1. Add 1 to both the sides
2. 3x=12
3. Divide both the sides by 3
4. X=4
Answer:
x = 4Step-by-step explanation:
[tex]3x-1=11\qquad\text{add 1 to both sides}\\\\3x-1+1=11+1\\\\3x=12\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{12}{3}\\\\\boxed{x=4}[/tex]
Multiply each of the following numbers 7.32, and 0.006 by 10, 100, and 1,000. Then explain the pattern you can use to find the products. *
Your answer
Answers
Answer:
I have the same question connections academy? it is so hard i still dont know
Step-by-step explanation:
A fast food restaurant had 11 pounds of flour. If they split the flour evenly among 2 batches of chicken, how much flour would each batch use?
Answers
Answer: 5.5 pounds
Step-by-step explanation: If 11 pounds of flour is being split evening between two batches of chicken you need to divide 11 by 2. 11 / 2 = 5.5 pounds.
Consider the dot plot which shows the distribution of data collected on the amount of time Jason sleeps each night. Find the difference between the mean and median. (round to nearest tenth)
A) 0.2
Eliminate
B) 0.3
C) 0.6
D) 0.8
Answers
Answer:
A) 0.2
Step-by-step explanation:
From least to greatest, the data points are
6, 6, 6, 7, 7, 7, 8, 8, 8, 9
To find the mean, we find the sum of the data points and divide by the number of data points, 10. The sum of the data points is
6+6+6+7+7+7+8+8+8+9 = 72
Dividing by 10, the mean is 72/10 = 7.2.
The median is the middle number in the set. This is 7.
The difference between the mean and the median is
7.2-7 = 0.2.
Answer:
0.2
Step-by-step explanation:
just got it right
8 x 1/5 write in simplest form. Identify the two whole number between which the product lies
Answers
The product lies between 1 and 2
REASON:
Here,
[tex]\huge 8×\frac{1}{5} [/tex]
[tex] =\huge\frac{8}{5} [/tex]
Convert into mixed fraction by dividing:
i.e. Quotient is taken as whole number.
Remainder is numerator
Denominator is same
So,
answer is-> [tex]\huge1 <1\frac{3}{5}<2[/tex]
HOPE IT IS USEFUL
The product after multiplying 8 x 1/5 in the simplest form is 1.6.
Given a multiplication expression, 8 x 1/5.
We have to find the product of this in the simplest form.
Here 8 and 1/5 are the numbers which are to be multiplied.
The simplest fractional form of the product is,
8 x 1/5 = 8/5
This fraction cannot be simplified further.
Now we have to find the result in decimal form.
8 x 1/5 = 1 3/5 = 1 + 0.6 = 1.6
Hence the product is 1.6.
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Find the volume of a cube with an edge of 6cd^3.
Answers
Answer:
V=a^3 is the answer
The value of the volume of a cube with an edge of 6cd³ is,
⇒ V = 216c³d⁹
What is mean by Cuboid?A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.
We have to given that;
An edge of cube is,
⇒ 6cd³
Since, We know that;
Volume of cube is,
⇒ V = side³
Hence, The value of the volume of a cube with an edge of 6cd³ is,
V = (6cd³)³
V = 216c³d⁹
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what is the percent of the increase of 2000 to 5000?
Answers
There is a 150% increase.
Work is attached in the image provided.
Have a great day!
Please help need answer
Answers
Answer:
Step-by-step explanation:
First, let's look at the pie-shaped segment defined by the 123° angle and the 18.6 m radius.
The area of the entire circle is given by A = πr² = 3.14159(18.6 m)², or A = 1086.865 m².
The area of the "pie slice" is (123/360) of that, or 371.346 m².
Next, we must find the area of the triangle and subtract this area from this 371.346 m²:
Use the Law of Cosines to find the area of this triangle. The Law of Cosines in appropriate form is
c² = a² + b² -2ab*cos C.
In this case C is 123° and a and b are both 18.6 m in length. Thus,
c² = (18.6 m)² + (18.6 m)² - 2(18.6 m)(18.6 m)*cos 123°
Thus,
c² = 691.92 m² - 691.92*cos 123°, or
= (691.92 m²)(1 - cos 123°)
= (691.92 m²)(1 - [-0.5446] ) = (691.92 m²)(1.5446) = 1068.767
Taking the square root of this result, we get c = +32.6920 m.
Subdivide the triangle shown to form a new triangle with hypotenuse 18.6 m, adjacent side 32.6920 m / 2, or 16.3460 and opposite side h.
Then 18.6² = h² + 16.3460², which leads to h²2 = 18.6² - 16.346², or 78.768.
Then h = √78.768 = 8.875 (m).
We now use this info to find the area of the illustrated triangle, using the formula A = (1/2)(base)(height). That comes out to:
A = (1/2)(16.3460 m)(8.875 m) = 72.535 m²
Finally, we subtract twice that from the area of the 'pie' to get the area of the yellow (shaded) area:
pie area - area of triangle shown in the diagram =
371.346 m² - 145.071 m² = 226.3 m² (to the nearest tenth)
Answer:
226.4
Step-by-step explanation:
NOT 226.3 !!