The sequence which shows arithmetic sequence is -3, -10, -17, -24, -31, ....... so the correct option is Option D.
What is Arithmetic Sequence?
An arithmetic progression (AP) is a sequence where the differences between every two consecutive terms are the same.
Here, out of the given option option D follows the definition.
Difference between two consecutive term is equal.
-10 - (-3) = -10 + 3 = -7
-17 - (-10) = -17 + 10 = -7
-24 - (-17) = -24 + 17 = -7
-31 - (-24) = -31 + 24 = -7
Thus, the sequence which shows arithmetic sequence is -3, -10, -17, -24, -31, ....... so the correct option is Option D.
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Guys, can you please correct my answer for Question #45 of The Quadratic Relations for me, please?
Answer:
[tex]y=3(x-7)^2[/tex]
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]
Parent function
[tex]y=x^2[/tex]
Translated 7 units to the right
Subtract 7 from the x-value:
[tex]f(x-7) \implies y=(x-7)^2[/tex]
Vertically stretched by a factor of 3
Multiply the whole function by 3:
[tex]3f(x) \implies y=3(x-7)^2[/tex]
Streched 7 units right means change in x
So new equation
y=(x-7)²Vertically streched by 3
y=3(x-7)²Solve |5x + 30| = 10x Identify the solution and an extraneous solution
Answer:
B
Step-by-step explanation:
the absolute value function always gives a positive result
However, the value inside can be positive or negative, that is
5x + 30 = 10x or - (5x + 30) = 10x
solving both
5x + 30 = 10x (subtract 5x from both sides )
30 = 5x ( divide both sides by 5 )
6 = x
or
- (5x + 30) = 10x
- 5x - 30 = 10x ( add 5x to both sides )
- 30 = 15x ( divide both sides by 15 )
- 2 = x
As a check
substitute these values into the equation and if both sides are equal then it is a solution.
x = 6
left side = | 5(6) + 30 | = | 30 + 30 | = | 60| = 60
right side = 10(6) = 60
Then x = 6 is a solution
x = - 2
left side = | 5(- 2) + 30 | = | - 10 + 30 | = | 20 | = 20
right side = 10(- 2) = - 20 ≠ 20
Thus x = - 2 is an extraneous solution
help me pleaseeeeeeeee
[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ 2^3~~ = ~~8\implies \log_2(8)~~ = ~~3[/tex]
For item numbers 7-11, tell what relationship exists between the measures of each pair of angles.
Answer:
7-B (congruent)
8-D (supplement)
9-B (congruent)
10-B (congruent)
11-D (supplement)
Step-by-step explanation:
7- 1 and 3 are congruent using the corresponding angles theorem
8- they are supplements using the same side interior angle theorem
9- they are congruent using alternate interior angle theorem
10- they are congruent using the alternate exterior angle theorem
11- they are supplements using the same side exterior angle theorem
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brainliest?
What are the coordinates of the point that is 2/5 of the way from a to b
Answer:
the cords for a should be (-3,0) and the cords for b should be (7,15) sorry if im incorrect
If f(x) =
(3 + x)
(x-3)
what is f(a + 2)?
Answer:
(a^2)+4a-5
Step-by-step explanation:
(3+a+2)(a+2-3)
(a+5)(a-1)
use FOIL or box method
5a-5+(a^2)-a simplifyes to
(a^2)+4a-5
I inserted a photo please answer ASAP I will mark brainliest PLEASEEEEE
Answer:
B, C, D
Step-by-step explanation:
Square roots are not in polynomials
find the volume of the pyramid. round to the nearest hundredth
Answer:
A. 17.35 mm³
Step-by-step explanation:
Volume of a Pyramid
[tex]V = \frac{1}{3}Bh[/tex]
V ... volume
B ... area of base
h ... height
The base of this pyramid is a square. Area of a square is side times side.
[tex]B = 3.5 \times 3.5[/tex]
Let's substitute in the formula.
[tex]V = \frac{1}{3}Bh\\\\V = \frac{1}{3}(3.5\times 3.5)(4.25)\\\\V = \frac{1}{3}(12.25)(4.25)\\\\V \approx 17.35417 \text{ mm}^3[/tex]
Now let's round to the nearest hundredth.
V = 17.35 mm³
Based on the work done in checking his solution, does it appear that x = 9/2 is the
solution? Explain why or why not
be detailed, giving out brainliest to.
Answer:
Yes x = 9/2 is the correct solution.
Step-by-step explanation:
You have substituted x = 9/2 into both sides of the equation and they have both simplified to the same value.
A quadratic function has zeros at 1 and -8. Which of the following could be the function?
Answer:(x-1)(x+8)
Step-by-step explanation: You need to set it up as (x+y)(x+z) format. To get that you need to flip the zeroes making them the opposite. So the answer in this case would be (x-1)(x+8).
what's the number before 277000
The number is 276999
Find the length of side x in simplest radical form with a rational denominator.
V10
X
60°
30°
Check the picture below.
in the figure at the right DC = 20 cm and AB =36 cm . what is FE? a.16cm b.56cm c.28cm d.46cm
Answer:
however dc =20 cm is
Step-by-step explanation:
so this isnt contrary to 50
Answer:
If it's all about trapezoid and FE is the median:
SOLUTION:
m = \frac{1}{2}
2
1
[(20) + (38)]
m = \frac{1}{2}
2
1
(58)
m = \frac{58}{2}
2
58
m = 26
ANSWER: 26 cm
Step-by-step explanation:
Find point Z that partitions the directed line segment XY in the ratio of 2:1 where X(1, 2) and Y(7, 5). Show all steps.
!BRAINLIEST AND 5 STARS TO BEST ANSWER AND FULL EXPLANATION ONLY!
Hello, detailed answer is given below.
If you have any question(s), then feel free to ask in comments!
What should be added to both sides of this equation to solve for the variable?
P-33 = 17
Answer:
You add 33 on both sides to solve for the variable.
Step-by-step explanation:
Find the product or type
"impossible".
[2 6 -7][5 -2 4]
The value of (26 - 7) and (5 - 24) when they're multiplied will be -399.
How to multiply the values?From the information given, we are told to multiply (26 - 7) and (5 - 24). This goes thus:
= (26 - 7) × (5 - 24)
= 21 × -19
= -399
In this case, value of (26 - 7) and (5 - 24) when they're multiplied will be -399.
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What is the volume, in cubic centimeters, of a cylinder with a height of 5 centimeters and a base radius of 10 centimeters, to the nearest tenths place?
Answer:
The volume of the cylinder is approximately 1570.8 cm³.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightGeometry
Volume Formula [Cylinder]:
[tex]\displaystyle V = \pi r^2 h[/tex]
Step-by-step explanation:
Step 1: Define
Identify given variables.
h = 5 cm
r = 10 cm
Step 2: Find Volume
[Volume Formula - Cylinder] Substitute in variables:∴ the volume of a cylinder whose height is 5 cm and radius is 10 cm is approximately 1570.8 cm³.
___
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___
Topic: Geometry
order the decimal greatest to least 8.31,8.295, 8.06,8.3
Answer:
Least 8.06, 8.295, 8.3, 8.31 Greatest
How does the volume of the larger cube compare to the volume of the smaller cube? Use pencil and
paper. Use this and other examples to describe what happens to the volume of a cube if you triple the length
of the edges.
Answer:
Option C, The volume of the length cube is 3 times the volume of the smaller cube
Step-by-step explanation:
21.8 / 7.8 = 2.8
the volume of the larger would be 21.8^3 = 10360.23
the volume of the larger would be 7.8^3 = 474.55
Is this an example of inductive reasoning, deductive reasoning, or neither?
At the grocery store Mia saw a sign indicating that 3 grapefruit cost $2.50, so Mia bought 3 grapefruit.
A. Inductive
B. Deductive
C. Neither
Since the specific conclusion is based on a general premise, this is a case of deductive reasoning.
What is deductive reasoning?The term deductive reasoning has to do with the process of arriving at a specific conclusion based on a more general premise.
In this case, the conclusion arrived at was based on the fact that Mia saw a general sign that read that 3 grapefruit cost $2.50. Hence, this is a case of deductive reasoning.
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Which pair of angles shares ray A and F as a common side?
The pair of angles that share a ray as a common side in the given diagram is: ∠FAB and ∠FAD.
What are Adjacent Angles?Adjacent angles are angles that lie adjacent or next to each other sharing a common vertex and have the same ray as a common side.
In the diagram attached below, ∠FAB and ∠FAD share a common vertex, A, and a ray FA as a common side.
Therefore, the pair of angles is: ∠FAB and ∠FAD.
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1.
Solve the equation below.
a.
x = 1
x = -2
x = 3
x = -4
b.
C.
d.
2x + 3 = 5
Answer:
a) x = 1
Step-by-step explanation:
Given: 2x + 3 = 5
1. Subtract 3 from both sides:
2x + 3 - 3 = 5 - 3
⟹ 2x = 2
2. Divide both sides by 2:
2x ÷ 2 = 2 ÷ 2
⟹ x = 1
3. Check your work:
2(1) + 3 = 5
2 + 3 = 5
⟹ 5 = 5 ✔
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Using the information in the diagram, what is the height of the tree to the nearest foot?
45 ft
54 ft
60 ft
135 ft
The relationship between the corresponding sides of similar triangles indicates that the height of the tree is 60 feet. The correct option is therefore;
60 ftWhat are similar triangles?Similar triangles are triangles in which the ratio of the corresponding sides of the triangles are equivalent for the three sides of the triangle.
The location of the tree divides the hypotenuse side and the base of the triangle formed by the building into two parts of the same length, therefore;
The length of the hypotenuse side to the building = 2 × 108 ft = 216 ft
The length of the base to the building = 2 × 90 ft = 180 ft
The ratio of corresponding sides of similar triangles and the trigonometric ratio of sines, indicates that we get;
Height of the tree/108 = 120/216
Height of the tree = 108 × (120/216) = 60 feet
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Pepper Jackie is putting 742 hard-boiled eggs into cartons for a community
farm fundraiser. Each carton holds 12 eggs. How many cartons of eggs can she
make?
Answer:
About 61 cartons with a reminder with a remainder of 10
Step-by-step explanation:
12 * 61 = 732 → 742 - 732 = 10 eggs
hope this helps
Sarah opened new savings account on Tuesday with a deposit of $70. She made a deposit of $30 on Friday and a withdrawal of $60 on Saturday. Which of the following expression represents her new account balance.
Answer:
x=70+30-60
Step-by-step explanation:
Word to my mother
Is constructed by making arcs centered at a and b without changing the compass width. which equation is not necessarily true? a. pq = ab b. ap = pb c. aq = bq d. ar = rb
The equation that is not necessarily true is that PQ = AB.
How to illustrate the equation?The perpendicular bisector of any line segment can be drawn by opening the compass more than half, by putting the nib of the compass at one end of a line segment, and by marking an arc on both sides of the line segment from both the ends of the segment.
The following Property that the perpendicular bisector PQ follows when it bisects the line segment AB include:
AP=BPAQ=BQAR=BR∠ARP=∠BRP=∠ARQ=∠BRQ=90°Therefore, PQ is Perpendicular Bisector of Line Segment AB is not true.
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Of all of the medium mirrors that were shipped, how many of them were broken? 68 78 164 208
Calculate.
a) 130% of 220
Decide whether quadrilateral ABCD with vertices 4(3,1), B(-1,-1) C(1,3), and D(5,5) is a rectangle, rhombus,
square, or parallelogram.
Answer: rectangle
Step-by-step explanation:
From the options, it is implied that it is a parallelogram.
From inspection, we can tell that not all the sides are congruent, so it is not a rhombus or a square.
To determine if it is a rectangle, we can use the slope formula to see if there is a pair of perpendicular sides (if this is the case, then this will be a parallelogram with a right angle, making it a rectangle)
[tex]m_{\overline{AB}}=\frac{1-0}{-4-(-3)}=-1\\m_{\overline{BC}}=\frac{4-1}{-1-(-4)}=1\\\therefore \overline{AB} \perp \overline{BC} \text{ because} \left(m_\overline{AB} \right) \left(m_{\overline{BC} \right)=1[/tex]
So, the most specific classification is a rectangle.
How many sides do 2 nonagons and 3 decagons have in all?
Answer:
48 sides
Step-by-step explanation:
A nonagon has 9 sides
A decagon has 10 sides
10 + 10 + 10 = 30
9+9 = 18
30 + 18 = 48
48 sides in total
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