Answer:
First seven terms apart from 10 are
13, 16, 19, 22, 25, 28, 31
Step-by-step explanation:
Given recursive rule aₙ = a ₙ ₋ ₁ + 3
a1 = 10
[tex]x_{1} = 10\\x_{2} = x_{2-1} + 3= x_{1} + 3 = 10 + 3 = 13\\x_{3} = x_{3-1} + 3= x_{2} + 3 = 13 + 3 = 16\\x_{4} = x_{4-1} + 3= x_{3} + 3 = 16 + 3 = 19\\x_{5} = x_{5-1} + 3= x_{4} + 3 = 19 + 3 = 22\\x_{6} = x_{6-1} + 3= x_{5} + 3 = 22 + 3 = 25\\\x_{7} = x_{7-1} + 3= x_{6} + 3 = 25 + 3 = 28\\x_{8} = x_{8-1} + 3= x_{7} + 3 = 28 + 3 = 31[/tex]
Thus, first seven terms apart from 10 are
13, 16, 19, 22, 25, 28, 31
Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees. Which statement is true about the angles?
This question is incomplete because it lacks the appropriate options
Complete Question
Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees.
Which statement is true about the angles?
a) Measure of angle A = 20 degrees
b) Measure of angle B = 60 degrees
c) Angle A and Angle B are complementary
d) Measure of angle A + measure of angle C = 100 degrees
Answer:
a) Measure of angle A = 20 degrees
Step-by-step explanation:
It is known that the sum of angles in a triangles = 180°
We are given these values in the question
Triangle ABC has the angle measures shown. Measure of angle A = (2 x) degrees. Measure of angle B = (5 x) degrees. Measure of angle C = (11 x) degrees.
Therefore,
Angle A + Angle B + Angle C = 180°
2x + 5x + 11x = 180°
18x = 180°
x = 180°/ 18
x = 10°
Finding each of the angles
Angle A = 2x = 2 × 10 = 20°
Angle B = 5x = 5 × 10 = 50°
Angle C = 11x = 11 × 10 = 110°
Therefore, the correct option is:
a) Measure of angle A = 20 degrees
The true statement is required.
The true statement is that [tex]m\angle A=10^{\circ}[/tex]
[tex]\angle A=2x[/tex]
[tex]\angle B=5x[/tex]
[tex]\angle C=11x[/tex]
The sum of the angles in a triangle is [tex]180^{\circ}[/tex]
So
[tex]\angle A+\angle B+\angle C=180\\\Rightarrow 2x+5x+11x=180\\\Rightarrow 18x=180\\\Rightarrow x=\dfrac{180}{18}\\\Rightarrow x=10[/tex]
[tex]\angle A=2x=2\times10\\\Rightarrow \angle A=10^{\circ}[/tex]
The true statement is that [tex]m\angle A=10^{\circ}[/tex]
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What is the divisble test for 861?
Answer:
7 is the correct answer
The radius of a semicircle is 1 meter. What is the semicircle's area?
Answer:
1.57Step-by-step explanation:
[tex]A -of -circle= \pi*r^{2}\\ Note : A -semicircle- is -half -of- a- circle\\Area = \frac{ \pi*r^{2}}{2} \\r = 1\\A =\frac{3.14*1^{2}}{2}\\A = \frac{3.14}{2} \\A = 1.57[/tex]
Which functions graph is a translation of the graph of f(x)= 3x^2 + 4 seven units down?
A. F(x)= -4x^2 +4
B. F(x)= 10x^2+4
C. F(x)= 3x^2-3
D. F(x)= 3x^2 +11
Answer:
Option C
Step-by-step explanation:
Consider the function f ( x ) = 3x^2 + 4;
[tex]f ( x ) = 3x^2 + 4,\\\\4 = vertex ( y - intercept ),\\\\\\[/tex]
Now if this graph were to be translated 7 units down, considering the function was f ( x ) = 3x^2, the new graph would be f ( x ) = 3x^2 - 7. The same concept is applied to the graph f ( x ) = 3x^2 + 4;
[tex]4 - 7 = - 3,\\f ( x ) = 3x^2 - 3\\\\Solution - Option C[/tex]
* Note that a translation doesn't effect the rate with which the graph changes, it only effect's it's position on the coordinate plane
Hope that helps!
Solve for x. 5 x − 29 > − 34 OR 2 x + 31 < 29
Answer:
x > -1
x < -1
Step-by-step explanation:
5x - 29 > - 34
5x > - 34 + 29
5x > -5
x > -1
2x + 31 < 29
2x < 29 - 31
2x < -2
x < -1
These two lines graphed below are not parallel. How many solution are there to the system
Answer:
B: One
Step-by-step explanation:
As shown on the graph, they are intersecting at only one point, so the answer is one. If it was infinite it would be the same line. If it had no solution the lines would be parallel.
Answer:It’s One
Step-by-step explanation: just did it
(2, infinity)
What is the answer to this question?
Please help
Answer:
TO INFINITY AND BEYOND! No, i'm jk. It's the last one
Step-by-step explanation:
(It's the last one)
Unicode ∞) represents something that is boundless or endless, or else something that is larger than any real or natural number.
11. The formula for finding a number that's the square root of the sum of another number n and 6 is
A. x = √n + 6.
B. x = √n + 6.
C. x = √n + √6.
D. x = √n6.
Answer:
x = [tex]\sqrt{x+6}[/tex]
Step-by-step explanation:
The question states that it is the square root of the sum of both n and 6. That means n and 6 are added first before square rooted. Between B and C, choose the answer that has the parenthesis around x and 6, like (x + 6).
The transformation from function f(x) =3x to the function f(x)=3x-2
Answer:
Translation down 2 units
Step-by-step explanation:
If a number is added or subtracted like that at the end of a function, it will either lift or put down a function however many units the number says. In this case, the number says 2, so the transformation would be a "Translation down 2 units".
Solve: g^2x + 1 = g^3x – 2
[tex]\displaystyle\bf\\g^{2x+1}=g^{3x-2}\\\\g=g\\\\3x-2=2x+1\\\\3x-2x=1+2\\\\\boxed{\bf x=3}[/tex]
Can you please help me?
Answer:
Area: 7, because there are 7 squares.
Perimeter: 14.
Step-by-step explanation:
Four friends’ typing speeds are shown. Who is the fastest? Monica: 10 words in 1 4minute Rachel: 55 words in 5 6minute Charlie: 42 words in 3 4minute Daniel: 25 words in 1 2minute
Answer:
racheal
Step-by-step explanation:
Will crown the correct answers brainliest 3x
Answer :
(1) [tex]\frac{1}{x}+\frac{1}{y}=\frac{y+x}{xy}[/tex]
(2) [tex]\frac{1}{5x}+\frac{1}{3y}=\frac{3y+5x}{15xy}[/tex]
(3) [tex]\frac{1}{7x}-\frac{1}{2y}=\frac{2y-7x}{14xy}[/tex]
(4) [tex]\frac{2}{5x}+\frac{3}{7y}=\frac{6y+15x}{21xy}[/tex]
(5) [tex]\frac{7}{11x}-\frac{1}{33y}=\frac{231y-11x}{363xy}[/tex]
(6) [tex]\frac{1}{2x}+\frac{3}{x}-\frac{1}{7y}=\frac{7y+42y-2x}{14xy}[/tex]
Step-by-step explanation :
(1) The given expression is: [tex]\frac{1}{x}+\frac{1}{y}[/tex]
[tex]\frac{1}{x}+\frac{1}{y}=\frac{y+x}{xy}[/tex]
(2) The given expression is: [tex]\frac{1}{5x}+\frac{1}{3y}[/tex]
[tex]\frac{1}{5x}+\frac{1}{3y}=\frac{3y+5x}{(5x)\times (3y)}=\frac{3y+5x}{15xy}[/tex]
(3) The given expression is: [tex]\frac{1}{7x}-\frac{1}{2y}[/tex]
[tex]\frac{1}{7x}-\frac{1}{2y}=\frac{2y-7x}{(7x)\times (2y)}=\frac{2y-7x}{14xy}[/tex]
(4) The given expression is: [tex]\frac{2}{5x}+\frac{3}{7y}[/tex]
[tex]\frac{2}{5x}+\frac{3}{7y}=\frac{(2\times 3y)+(3\times 5x)}{(5x)\times (7y)}=\frac{6y+15x}{21xy}[/tex]
(5) The given expression is: [tex]\frac{7}{11x}-\frac{1}{33y}[/tex]
[tex]\frac{7}{11x}-\frac{1}{33y}=\frac{(7\times 33y)-(1\times 11x)}{(11x)\times (33y)}=\frac{231y-11x}{363xy}[/tex]
(6) The given expression is: [tex]\frac{1}{2x}+\frac{3}{x}-\frac{1}{7y}[/tex]
[tex]\frac{1}{2x}+\frac{3}{x}-\frac{1}{7y}=\frac{(x\times 7y)+(3\times 2x\times 7y)-(2x\times x)}{(2x)\times (x)\times (7y)}=\frac{7xy+42xy-2x^2}{14x^2y}=\frac{7y+42y-2x}{14xy}[/tex]
A producer of electronic book readers is performing a quality check to ensure the reader's backlight is working correctly. The plant manager tests 2,000 readers on Monday and finds that 8 have defective backlights. The fraction StartFraction 1 over x EndFraction is the experimental probability of a book reader having a defective backlight. What is the value of x?
Answer: 25
Step-by-step explanation:
From the question, we are told that a producer of electronic book readers is performing a quality check to make sure that the reader's backlight is working correctly. Then, the plant manager tests 2,000 readers on Monday and finds that 8 have defective backlights. The fraction 1/x is the experimental probability of a book reader having a defective backlight. What is the value of x?
Number of tested readers= 2000
Defective backlight = 8
Probability of having a defective backlight will be the number of defective backlight divided by the number of readers tested. This will be:
= 8/200
We reduce the nice fraction to its lowest term.
8/200 = 1/25
Therefore x will be 25
Answer:
250
Step-by-step explanation:
two thousand divided by eight = 250
2000/8=250
The range of y=x2 is
y = 2 is a polynomial function.
True or false
Answer:
false
Step-by-step explanation:
Write the following using algebraic notation, using the letter x for any unknown numbers:
I think of a number, subtract 3 then multiply by 4
Answer:
[tex]4(x-3)[/tex]
Step-by-step explanation:
[tex](x-3)\times 4[/tex]
[tex]4(x-3)[/tex]
[tex]4x-12[/tex]
Answer:
4(x-3)
Step-by-step explanation:
Let the number be x
⇒ Subtracting 3 would make it x-3
After that
⇒ Multiplying 4 would make it 4(x-3)
MY LAST 2 QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!
1. Which statement can be made based on the diagram below? IMAGE BELOW
A) m∠1 + m∠2 = 180
B) m∠2 + m∠3 = 180
C) ∠2= ∠3
D) ∠3=∠4
4. What is the difference between a formal and informal proof?
A) A formal proof provides the reasons for steps, whereas an informal proof does not.
B) A formal proof uses a table or a list of steps, whereas an informal proof uses paragraphs.
C) A formal proof is much shorter, whereas an informal proof is longer.
D) A formal proof uses equations, whereas an informal proof only uses text.
Terry is saving up for a bike which costs £403.50 So far he has saved up £265.90 How much more money does he need to be able to get the bike?
Answer:
Cost of bicycle. £403.50
His present savings. £265.90
Amount required. £137.60
Answer:137.60
Step-by-step explanation:
Match the measureable quantity given by its formula with the appropriate unit(s).
speed = distance/time
square meters
area = (length)(width)
meters per second
volume = (length) (width)(height)
UUOO
meters
perimeter = 2 (length) + 2 (width)
cubic centimeters
Intro
rity
Done
Answer: i hope this helps (answer is down below)
Step-by-step explanation:
Area goes to square meters
speed goes to meters per second
volume goes to cubic centimetres
perimeter goes to meters
the number of hours that college freshman spend studying each week is normally distributed with a mean of 8 hours and a standard deviation of 5.5 hours. what percentage of students spend between 2.5 and 19 hours each week?
The answer would be
81.5%
The sets of numbers 7,24,25 and 9,40,41 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or show why they are Pythagorean triples. Be sure to show your work for each set of triples
Answer:
Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
7-24-25
7² + 24² = 25²
49 + 576 = 625
625 = 625
9-40-41
9² + 40² = 41²
81 + 1600 = 1681
1681 = 1681
Answer: See Explanation
Step-by-step explanation:
Pythagoras' theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex].
So [tex]7^{2}[/tex] (49) + [tex]24^{2}[/tex] (576) = [tex]25^{2}[/tex] (625)
Same goes for the other one. It is always the smallest number squared (smallest side of triangle) + the middle number squared (middle length side of triangle, = the biggest side/number squared.
which of the following is the quotient of the rational expressions shown here?
Answer:
x^2 /(x^2 -36)
Step-by-step explanation:
x/(x-6) ÷ (x+6) /x
Copy dot flip
x/(x-6) * x/(x+6)
x^2/ ( x-6)(x+6)
This is the difference of squares( a-b)(a+b) = a^2 -b^2
x^2 /(x^2 -36)
Answer:
The answer is A.
Step-by-step explanation: how Is you cross-multiply the answer you (x^2)/X^2/-36
work :X*X=X^2
X*X=X^2
6*6=36=
X^2/X^2-36
What is the solution to this system of
equations?
S2x + 8y = -4
x + 4y = -2
Answer:
There are infinitely many solutions
Step-by-step explanation:
2x + 8y = -4 ⇒ x+4y = -2x + 4y = -2As we see these are equal, so overlapping 2 lines. There are infinitely many solutions to the system
Answer:-2
Step-by-step explanation:
Find the area of the circle R=6ft
Answer:
Area is 113.097
Step-by-step explanation:
Answer:
113.10 ft²
Step-by-step explanation:
Area of the circle is equal to πr².
Where r is the radius. The radius of the circle is 6 feet.
π(6)²
36π = 113.097336
The area of the circle is 113.10 ft² approximately.
A flat surface that extends without end in all directions and is named by three points that are not on the same line is known as which geometric term? A. point B. ray C. line D. plane
Answer:
D...........................
The flat surface that extends without end in all directions and is named by three points that are not on the same line is known as D. Plane.
What is a plane?A flat form or a shape with two dimensions—length and width—is referred to as a two-dimensional shape. Shapes that are two-dimensional, or 2D, lack thickness.
We can represent all the two-dimensional figures in a plane some of them are, Triangles, Circles, Quadrilaterals, and Polygons.
A plane can also be represented as a surface, It can extend without end in all directions and is named after three points that are not on the same line.
learn more about planes here :
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given the function f(x)= 2|x+6|-4, for what values of x is f(x)=6?
Answer:
x = -1 or x = -11
Step-by-step explanation:
f(x)= 2|x+6|-4
2|x+6|-4 = 6
2|x+6| = 6+4
2|x+6|=10
|x+6| = 10/2
|x+6| = 5
x+6 = ±5
x = ±5 - 6
x = -1 or x = -11
I need help with this one it’s asking to write the equation of the line in slope intercept form
Answer:
y = -4/3x - 3
Step-by-step explanation:
Step 1: Find slope
m = (-3-1)/(0+3) = -4/3
Step 2: Find y-intercept
(0, -3)
Step 3: Write in slope-intercept form
y = mx + b
y = -4/3x - 3
I neeed answers pleassse ?
Answer:
The answer is −2 1/15 or -62/30
Step-by-step explanation:
8. The sum of two numbers is 8 less than twice the first number. Their difference is 4 less than twice
the second number. Find each of the numbers.
Answer:
14 and 6
Step-by-step explanation:
Let's start by naming the first number x.
We can name the second number y.
We can set up equations to model our situation.
x+y=2x-8
x-y=2y-4
Let's simplify the equations.
x+y=2x-8
Subtract 2x from both sides
-x+y=-8
__________
x-y=2y-4
Subtract 2y from both sides.
x-3y=-4
Add the two equations together to eliminate x.
x-3y=-4
-x+y=-8
________
0x-2y=-12
-2y=-12
Divide both sides by -2.
y=6
The second number is 6.
Plug that back in.
x+6=2x-8
Subtract x from both sides
6=x-8
Add 8 to both sides
x=14
The first number is 14
