In the given arithmetic progression Common difference is 14.
what is an arithmetic progression?An arithmetic progression is a set of integers with a fixed difference between any two succeeding numbers (A.P.).
Given, the n term of ap is Sₙ = 3n² + 5n
Where n is the number of terms
S₁ = 3* 1 + 5*1
S₁ = 8
S₂ = 3 * 4 + 5*2
S₂ = 22
common difference = 22-8
Common difference = 14
therefore, the Common difference in the given AP is 14.
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On a coordinate plane, the center of dilation is at (0, 0). Triangle A B C is dilated to create triangle A prime A C prime. The points of A B C are (negative 3, 3), (negative 1, 1), and (negative 3, 1). The points of A prime A C prime are (negative 9, 9), (negative 3, 3), and (negative 9, 3).
The dilation DO,3 (x, y) → (3x, 3y) is performed on the pre-image △ABC to make a similar triangle. Which statements are true? Check all that apply.
∠A corresponds to ∠A'.
∠A'AC' corresponds to ∠B.
CB corresponds to C'A.
Segment A'A is parallel to segment C'C.
△ABC ~ △A'AC'.
The true statements after a dilation of scale factor 3 are,
∠A corresponds to ∠A' and Triangle ABC is similar to triangle A'B'C'.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, The points of ABC are (negative 3, 3), (- 1, 1), and (- 3, 1).
The points of A'BC' are (- 9, 9), (- 3, 3), and (- 9, 3) after a dilation of 3, (x, y) ⇒ (3x, 3y).
We know dilation maintains the similarity of the dilated figures.
Therefore, The statements that are true,
∠A corresponds to ∠A' as dilation maintains similarity.
Triangle ABC is similar to triangle A'B'C'.
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Answer:
Options A,B,C,E
Step-by-step explanation:
Volume ? Length: 5 inches
Width: 3 inches
Height: 7.2 inches
John flew a kite. He started flying the kite at 2:20 pm and ended at 3:14 pm. How many minutes did John fly a kite?
47 minutes
50 minutes
54 minutes
55 minutes
Answer:
the answer is 54 minutes
Answer:
Step-by-step explanation:
47
Find the vertex of the function if x=1
options:
(1,24)
(1,30)
(1,32)
(1,41)
Answer:
(1, 41)Step-by-step explanation:
h = 1
k = p(h) = 4·1² + 24·1 + 13 = 4 + 24 + 13 = 41
whats this shape called?
Answer:
a rhombus
Step-by-step explanation:
How many positive two-digit integers are multiples of 5 and of 7?
The number of positive two-digit integers that are multiples of 5 and 7 are 2
What ae multiples?In mathematics, multiples are the results of multiplying an integer by a given number.
The multiples of 5 and 7 within 10 to 100 are
35 and 70
multiples of 5: 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95
multiples of 7: 7 14 21 28 35 42 49 56 63 70 77 84 91 98
The common numbers are 2 which are 35 and 70
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Mike is a sales person in a retail carpet store he paid 500 base salary per month plus 5% commission on sales over 10,000. His sales this month were 23,750 his total deductions were 152.75 What is the total amount on which mike could earn commission? What was the total amount of mikes commission? What was mikes base salary plus commission? What's mike net pay?
Answer:
Total amount on which Mike could earn commission:
Mike can earn amounts on sales over $10,000 so the commission amount is:
= 23,750 - 10,000
= $13,750
Total amount of Mike's compensation:
= 5% * 13,750
= $687.50
Mikes base salary plus commission:
= 500 + 687.50
= $1,187.50
Mike's net pay:
= Gross pay - deductions
= 1,187.50 - 152.75
= $1,034.75
Which of the following ordered pairs are in the solution set of 0.5x - y>2? (Is it solved for y)
Answer:
Any ordered pair #(x, y)# that satisfies #x>=6+4y#Or, in set notation, #Solution={(x, y)|x>=6+4y}#Explanation:Now, there is a little problem here - it is that you never specified which ordered pair needs to be evaluated to satisfy the condition #0.5x-2y>=3# Allow me to explain.Below is a graph of the inequality of your question:graph{0.5x-2y>=3 [-10, 10, -5, 5]}To answer which point is in the solution set, well the answer is that any point that is on or within the shaded area is part of the solution set.
Step-by-step explanation:
How do you know what to multiply in elimination?
Answer:
See below
Step-by-step explanation:
When nether of the variable will fall out when adding together. For example:
2x + 5y = 13
-2x + 7y = 17
When I add these equation together, the variable x will drop out because 2x - 2x = 0 and we would be left with other the y variable which we then can solve for. 12y = 30
Now another example where the neither the x or y falls out.
x + 5y = 12
2x + 3y= 9
When I add these together, neither variable falls out.
3x + 8y = 21
BUT, if I multiply x + 5y = 12 though by -2 I get
-2x -10y = -24
Now when I add the two equation together the x's will drop out.
-2x -10y = -24
2x + 3y = 9
-7y = --15
Please answer **ASAP**
if an=n(an-1) and a1=1 what is the value of a5
a. 5
b. 20
c. 120
d. 720
Answer:
Step-by-step explanation:
c.120 i did the work and i came out with this answer. Hope it helps!
please help me i can't seem to get it
Answer:
yurrrrrrrrrrrrrr
Step-by-step explanation:
Step-by-step explanation:
43
The angle should be 43 Hope it helps:)
expand and simplify and & simplify 4(f+3)+3(f+3)
4(f + 3) = 4f + 12
3(f+3) =3f + 9
Now you have 4f + 12 + 3f + 9
Combine like terms to get
7f + 21
At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to $\$3.15$. Mary orders a bagel and a muffin, which comes out to $\$3.30$. Mary orders a piece of toast, two bagels, and three muffins, which comes out to $\$9.15$. How many cents does one bagel cost
On solving the question, by linear equation One bagel is 100*1.55 = 155 cents in dollars.
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept.
A toast costs = x dollars.
A bagel costs = y dollars.
A muffin costs = z dollars.
It costs $3.15 for two pieces of toast and a bagel.
As a result, 2x + y = 3.15. To get the price of a bagel, we express x as a function of y,
2x = 3.15 —Y
x = -o.5y+ 1.575
It costs $3.30 for a bagel and a muffin.
Since x and z are functions of y,
—0.5y + 1.575 + + 3(3.3 — y) 9.15
—0.5y + 1.575 +2y + 9.9—3y = 9.15
—1.5y + 11.475 = 9.15
1.5y = 2.325
2.325
Y = 1.55
One bagel is 100*1.55 = 155 cents in dollars.
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928.89 The 8 in the ones place is ____________ times the value of the 8 in the tenths place.
Answer:
0.1 times
hope this helps
have a good day :)
Step-by-step explanation:
what is a possible rule for a mug wump family member
Answer:
NO Results Found
Step-by-step explanation:
mrk me brainliest
picture shown. what is the volume of the rectangular pyramid?
Answer:
answer is 187.2
Step-by-step explanation:
5.2 times 4 times 9= 187.2
Please help
Find the surface area of the rectangular prism.
7in, 12in, and 2in.
Answer:
244 in^2
Step-by-step explanation:
We'll start by listing out the dimensions of different surfaces on the shape, and how many times that specific sized rectangle is on the prism.
7x2 = 212x2 = 212x7 = 2The prism has six sides, so check that whatever list you make lines up.
one side is equal to 14 in^2, so both sides have a total area 28 in^2one side is equal to 24 in^2, so both sides have a total area of 48 in^2one side is equal to 84 in^2, so both sides have a total area of 168 in^2Now we can add all this up, 28 + 48 + 168 = 244 in^2 !
11. Which statement suggests causation?
a) When you are at the beach, you get
wet.
b) When you study for a test, your
classmate studies too.
c) When you carry an umbrella to school,
it rains.
d) When you don't brush your teeth, you
get cavities.
Will Give Brainliest!!! 1. For the circle with equation , answer each question.
(a) What are the coordinates of the center?
(b) What is the radius of the circle?
(c) What is the diameter of the circle?
a) The coordinates of the center is (2 ,-3)
b) The radius of the circle is 3
c) The diameter of the circle is twice the radius = 2(3) = 6
Now, According to the question:
a) The equation of a circle is given by
[tex](x-h)^2 + (y-k)^2 =r^2[/tex]
where (h, k) is the center and r is the radius
(x - 2)² + (y+3)² = 9
(x - 2)² + (y- -3)² = 3^2
The coordinates of the center is (2 ,-3)
b) The radius of the circle is 3
c) The diameter of the circle is twice the radius = 2(3) = 6
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The complete question is this:
For the circle with equation (x - 2)² + (y+3)² = 9 , answer each question.
(a) What are the coordinates of the center?
(b) What are the radius of the circle?
(c) What is the diameter of the circle?
Each square inch of your body has about 6. 5 × 10^2 pores. Suppose the top of your foot has an area of about 2. 0 × 10^1 in. ^2. About how many pores are on the top of your foot?
The number of pores that are on the top of your foot is approximately 13,000 pores on the top of your foot.
To find the number of pores on the top of your foot, we can multiply the area of the top of your foot in square inches by the number of pores per square inch.
The area of the top of your foot is 2.0 x 10^1 in^2 and each square inch of your body has about 6.5 x 10^2 pores. So, the number of pores on the top of your foot can be calculated as:
2.0 x 10^1 in^2 * 6.5 x 10^2 pores/in^2 = 130 x 10^2 pores = 13000 pores
So, there are approximately 13,000 pores on the top of your foot.
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Choose the best description of the data used to generate this histogram (note that the horizontal axis has no scale, so you will make your choice based solely upon the histogram's shape): OSAT Math scores of 1,000 future engineers and scientists. O Results of rolling a six-sided die 1,000 times. Cholesterol levels of 1,000 adults. O Shoe sizes of 1,000 men and women. O Prices of 1,000 California homes. * That is not quite right. The bulk of the SAT Math scores of engineers and scientists would be high scores, since people interested in those fields are usually good at math. So that distribution would be skewed left. Please try again.
On solving the provided question we can say that so the value of the data from histogram graphs will be x [tex]\alpha[/tex] 0.123 * 125 / 100 = 0.15375
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle
the best way to describe the data that was used to create this histogram (keep in mind that there is no scale on the horizontal axis, so you must choose based simply on the appearance of the histogram graphs
so the value of the data from histogram graphs will be
z = 0.123
u = 100
x = 125
x [tex]\alpha[/tex] 0.123 * 125 / 100 = 0.15375
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The radius of a circle is 7 inches what is the area give the exact answer in simplest form
Answer:
49π
Step-by-step explanation:
What type of quadrilateral is ABCD? Move segments and words to the blanks to classify quadrilateral ABCD.
The slope of
6-4
The slope of
جانا جاتا
Ini
6-
The slope of
The slope of
The slopes indicate that
Therefore, quadrilateral ABCD is a
is
to
and that
is
to
AB
BC
CD
DA
congruent
parallel
perpendicular
parallelogram
rectangle
rhombus
square
The type of quadrilateral is ABCD is parallelogram.
There are some properties of parallelogram:
If Two pairs of opposite sides are parallel and equal in length.The two pairs of opposite angles are equal in measure and one pair of opposite sides is parallel and equal in length.The diagonals bisect each other, and the adjacent angles are supplementary.Each diagonal divides the quadrilateral into two congruent triangles, with the sum of the squares of the sides equals the sum of the squares of the diagonals.The coordinate of quadrilateral ABCD are A=(2,4) B=(5,6) C=(4,3) D=(1,1)
By using the coordinates we can find the slope:
slope=y2-y1/x2-x1
the slope of AB =6-4/5-2
AB=2/3
the slope of AD =1-4/1-2
AD=3/1
the slope of CD =1-3/1-4
CD=2/3
the slope of BC =3-5/3-6
BC=2/3
The slope indicates that the slope of AB is equal to BC and the slope of AD is equal to CD
Therefore, as per the properties, quadrilateral ABCD is Parallelogram
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Perform the operation. (-2x^2-4x+2)-(-6x+2) (−2x 2 −4x+2)−(−6x+2)
Answer:
-50x^2+30x-4
Step-by-step explanation:
A. 2miles
B.200 miles
C.6 miles
Please help
Answer:
The answer to this is B. :D
need help asap! will give brainlist!!!!
Answer:
Although i am not sure, I believe the answer is 56.
Step-by-step explanation:
A right angle is 90 degrees.
90 - 28 = 62
by the looks of it, the angle on to of the place of the 62 looks identical, so i will assume it is also 62 degrees.
62 + 62 = 124
180 - 124 = 56
So that is why I believe it is 56.
(I may either be completly right or completely wrong. If it has answer choices, look at them and see if it is an option)
Hope it helped anyways!
Graph the Following parent function
Answer:
see attached
Step-by-step explanation:
You want the graph of g(x) = -f(x-3), given the graph of the parent function f(x) = log₂(x).
TransformationThe replacement of x with x-3 as the function argument causes the graph to be translated 3 units to the right.
The replacement of f(x) with -f(x) causes the graph to be reflected over the x-axis.
The translated, reflected graph is shown in blue in the attachment.
What is the volume of the figure?
144 cubic inches
Step-by-step explanation:
V=lwh
6x4=24
24x6=144
NEED HELP ASAP
IF ITS NOT AN ACTUAL ANSWER, DONT ANSWER PLEASE!
Answer:
95
Step-by-step explanation:
180-35-50=95
Answer:
Its 95 i was wrong
Step-by-step explanation:
Which expressions are equivalent to 2r + (t + r)2r+(t+r)2, r, plus, left parenthesis, t, plus, r, right parenthesis ?
Choose all answers that apply:
(Choice A:
2rt + 4r2rt+4r
(Choice B:
r+t
(Choice C:
None of the above
Answer:
none of the above
Step-by-step explanation:
Answer:
none of the above
Step-by-step explanation: