Answer:
a) possible progressions are 5
b) the smallest and largest possible values of the first term are 16 and 82
Step-by-step explanation:
Sum of terms:
Sₙ = n/2(a₁ + aₙ) = n/2(2a₁ + (n-1)d)S₂₀ = 20/2(2a₁ + 19d) = 10(2a₁ + 19d)2020 = 10(2a₁ + 19d)202 = 2a₁ + 19dIn order a₁ to be an integer, d must be even number, so d = 2k
202 = 2a₁ + 38k101 = a₁ + 19kPossible values of k= 1,2,3,4,5
k = 1 ⇒ a₁ = 101 - 19 = 82k = 2 ⇒ a₁ = 101 - 38 = 63k = 3 ⇒ a₁ = 101 - 57 = 44k = 4 ⇒ a₁ = 101 - 76 = 25k = 5 ⇒ a₁ = 101 - 95 = 16As per above,
a) possible progressions are 5b) the smallest and largest possible values of the first term are 16 and 82Answer:
:) not right
Step-by-step explanation:
-45.6 divided by -1.2
Step-by-step explanation:
hope I could help :) used a calculator
what is 3x-15+6x+2=45
Answer:
x=58/9 fraction x=6 4/9
Step-by-step explanation:
Answer:
x = 6.44 (rounded)
Step-by-step explanation:
First, combine like terms:
3x + 6x + 2 - 15 = 45
(3x + 6x) + (2 - 15) = 45
(9x) + (-13) = 45
9x - 13 = 45
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and is:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, add 13 to both sides:
9x - 13 (+13) = 45 (+13)
9x = 45 + 13
9x = 58
Next, divide 9 from both sides:
(9x)/9 = (58)/9
x = 58/9
x = 6.44
evaluate the expression 3x + 2(x-1) when x = 3
Answer:
[tex]3(3) + 2(3 - 1)[/tex]
[tex]9 + (6 - 2)[/tex]
[tex]9 + 4[/tex]
[tex]13[/tex]
Hope this is correct and helpful
HAVE A GOOD DAY!
Which are perfect square trinomials? Select two options.
x2 − 9
x2 −100
x2 − 4x + 4
x2 + 10x + 25
x2 + 15x + 36
Answer:
C. x2 − 4x + 4
D. x2 + 10x + 25
Step-by-step explanation:
On edge 2021
The two perfect square trinomial are
x2 − 4x + 4x2 + 10x + 25Options C and D are correctPerfect square trinomialPerfect square trinomial is an algebraic expression takes the form
ax2 + bx + c,
A Perfect square trinomial gotten by the multiplication of a binomial with itself, and a binomial takes the form (x+a).
Therefore, the two perfect square trinomial perfect are
x2 − 4x + 4x2 + 10x + 25More on Arithmetic
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I NEED HELP PLEASE !!!!
Answer:
1st choice 9 to the power of 4 times 8 to the power of 4 times
Step-by-step explanation:
(9 times 8) to the power of 4 means
9*8*9*8*9*8*9*8 which is also equal to 9*9*9*9*8*8*8*8
and that is 9 to the power of 4 times 8 to the power of 4 times
Answer:
A
Step-by-step explanation:
Because (9*8)^4 equals 26873856
and 9^4*8^4 equals 26873856
You roll a six-sided number cube and flip a coin. What is the probability of rolling a number greater than 2 and flipping heads? Write
your answer as a fraction in simplest form.
Answer:
1/3
Step-by-step explanation:
Solve 2(x+1)+4=8 and can you please show me a step by step
Answer:
x = 1
Step-by-step explanation:
2(x + 1) + 4 = 8
2x + 2 + 4 = 8
2x + 6 = 8
2x = 8 - 6
2x = 2
x = 2 / 2
x = 1
What is the approximate value of ?
Answer:
An approximate value by defect of a number is a value that is close to this number, less than it, as close as possible, and with a requested level of precision.
Step-by-step explanation:
Is that what your asking.
Answer:
dee.?.
no hay ndaa
two less than eight times a number is the same number as the number +12
Answer:
94
Step-by-step explanation:
12x8 is 96, 96-2=94
A committee of three students met with the principal today and agreed that Rachel will report to the principal every $9$ days, Jessica every $12$ days, and Richard every $15$ days. What is the least number of days before all three will again report to the principal on the same day?
Answer:
180 days
Step-by-step explanation:
To solve for the least number of days all three will again be report to the principal, find the lowest common multiples of all three of them
Rachel will report to the principal every 9 days, Jessica every 12 days, and Richard every 15 days
Rachel (every 9 days) = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180
Jessica (every 12 days) = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180
Richard (every 15 days) = 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180
The lowest common multiples of 9 days, 12 days, 15 days is 180 days
Therefore, the least number of days all three will report again to the principal is 180 days
Use the following image to answer the questions below.
Answer: Choice A
Ray PL and ray PQ
=======================================================
Explanation:
Opposite rays always have the same endpoint in common. So opposite rays start with the same letter.
Opposite rays also lay on the same geometric line. This means they point in complete opposite directions. Gluing together two opposite rays forms a line that extends forever in both directions.
Ray PQ points in one direction while ray PL points in the opposite direction. These are opposite rays.
Saying "ray PQ" is different from saying "ray QP". The order matters. This is because the first letter tells you the endpoint while the second letter is where the ray is aimed at (and where it goes off forever).
A football match started by 10.25am and ended by 1.35pm. how long did it last?
Answer:
The match last for 3 hours and 10 minutes.
Step-by-step explanation:
Match started at 10.25 am
Match ended at 1.35 pm
We need to find how long did the match last.
Minutes between 10.25 am to 11 am = 35 minutes
Minutes between 1 pm to 1.35 pm = 35 minutes
Time between 11 am to 1 pm = 2 hours
Time between 10.25 am and 1.35 pm is :
T = 2 hours 70 minutes
But 1 hour = 60 minutes
T = 2 hours (60+10) minutes
T = 3 hours 10 minutes
It means the match last for 3 hours and 10 minutes.
I need the Answer to the question plz
Answer:
9
Step-by-step explanation:
[tex]15-\frac{10}{5} -2^{2}[/tex]
[tex]15-\frac{10}{5}-4\\15 -2-4\\13-4\\=9[/tex]
The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.
Answer:
B.The expression 75ℎ represents the total charge for Elegance Home Architects.
D.If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.
E.If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.
Step-by-step explanation:
Which of the following statements are true? Select all that apply.
A.The expression 50ℎ represents the total charge for Rock the House Digital Designs.
B.The expression 75ℎ represents the total charge for Elegance Home Architects.
C.The cost for using Rock the House Digital Designs for an initial consultation only is $550.
D.If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.
E.If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.
Answer:
Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. If they are hired for h hours, the total charge for Rock the House Digital Designs would be:
Total charge for Rock the House Digital Designs = 500 + 50h
Elegant Home Architects charge $75.00 per hour for the house plans, if they work for h hours, the total charge would be:
Total charge for Elegance Home Architects = 75h
A) Option A is not correct since the total charge for Rock the House Digital Designs is 500 + 50h
B) Option B is correct because the total charge for Elegance Home Architects = 75h
C) Option C is not correct, For an initial consultation, the cost for using Rock the House Digital Designs is $500
D) For a period of 15 hours:
Total charge for Rock the House Digital Designs = 500 + 50h = 500 + 50(15) = $1250
Total charge for Elegance Home Architects = 75h = 75(15) = $1125
Option D is correct because Elegance home architect would be cheaper
E) For a period of 40 hours:
Total charge for Rock the House Digital Designs = 500 + 50h = 500 + 50(40) = $2500
Total charge for Elegance Home Architects = 75h = 75(40) = $3000
Option D is correct because Rock the House Digital Designs would be cheaper
Use money sentences to simplify: -10-5
Answer:
The answer is
-15: I owe $10. I owe $5.
Please help Asap almost done
Answer:
question 11 is d and question 12 is g hope it helps
Step-by-step explanation:
subtract 24.65from 75
add both fractions
I already know the answers but I need someone to help/show me what it looks like solved on a number line
Answer:
[see below]
Step-by-step explanation:
3 * (-5) = -15
Locate the '-15' line and plot a closed circle on it.
-2 * -3 = 6
Locate the '6' line and plot a closed circle on it.
Hope this helps.
You deposit the same amount of money in a bank account each month. You deposit a total of $660 in 1 year. How many months does it take for you to deposit $2310?
Clear parentheses and combine like terms:
Answer:
[tex] -40s + 90t + 30 [/tex]
Step-by-step explanation:
Given, [tex] -10(4s - 9t - 3) [/tex]
To clear parenthesis using the distributive property of multiplication, we have,
[tex] -10(4s) -10(-9t) -10(-3) [/tex]
Negative sign multiplied by negative sign = positive sign
[tex] = -40s + 90t + 30 [/tex]
Thus:
[tex] -10(4s - 9t - 3) = -40s + 90t + 30 [/tex]
9. The value of the 8th term is 78. The sequence is increasing by 10 at each step. Explicit equation: y = 10x - 2 Recursive: now = previous term + 10 Find the 20th term. Explanation: Find the 20th term *
Add the following
- 62 + (- 65)=
Answer:
-127
Step-by-step explanation:
If m∠DEF = 117°, find the value of x
Answer:
x = 7
Step-by-step explanation:
Given:
∠DEF = 117°
∠DEG = (12x + 1)°
∠GEF = (5x - 3)°
Find:
value of x
Computation:
∠DEF = ∠DEG + ∠GEF
117° = (12x + 1)° + (5x - 3)°
117° = 17 x - 2
x = 7
what is the midpoint of the points: (-1,-5) and (-5,9)
Answer:
i think its m= −7/ 2 but i don't think its right ;-;
Step-by-step explanation:
How are rational numbers and Integers similar? How are they different?
Answer:
Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers. They are different because Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… is a rational number but not an integer. All rational numbers belong to the real numbers. If two numbers are at the same distance from 0 as in the case of 10 and -10 they are called opposites.
Step-by-step explanation:
the area of square is 36 square meters. what is the length (in meters) of one side in the square
Answer:6m
Step-by-step explanation:
Square root 36m²
The required length of the side of the square is 6 meters.
Given that,
the area of the square is 36 square meters, what is the length (in meters) of one side in the square needs to be determined.
A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,
Examples of the polygon, equilateral triangle, square, pentagon, etc
Here,
Since all the sides of the square are identical and the square is a polygon also.
Area of square = (side)²
we have given the area of a square, i.e. 36
36 = side²
side = √36
side = 6 (since √36 = 6)
Implies length of its side is 6 meters
Thus, the required length of the side of the square is 6 meters.
Learn more about polygon here:
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#SPJ2
Who statement is true
Answer:
C) f(2)=0 and g(-2)
Step-by-step explanation:
You start by looking at each graph and the given x values.
Check what value is at x=2 on the bue graph for your f(x), in this case it's 0. It's the same process for the red graph, g(x), which is 0.
Steve needs to ship a box of dice, each of which is a cube with a volume of 1 cubic centimeter. How many dice can Steve fit in this box? A. 39 B. 270 C. 972 D. 1,944
Answer:
D. 1,944
Step-by-step explanation:
the box's size is missing, so I looked for a similar question:
the box measures:
base (12 cm) width (9 cm) height (18 cm)total volume of the box = 12 x 9 x 18 = 1,944 cm³
since each dice occupies a volume of 1 cm³, then you can fit 1,944 dices in each box.
What is the area of this figure?
5 cm
6 cm
8 cm
2 cm
2 cm
3 cm
2 cm
10 cm
Answer:
85.1 (I think)
Step-by-step explanation:
2×2=4
5×2=10
5×6=30
(3×10)÷2=15
3squared+10squared=√109=10.44
5×10.44=52.2÷2=26.1
26.1+4+10+30+15=85.1
Solve: - (g+ 12) = 5(9-12)
Answer:
Step-by-step explanation:
-g - 12 = 5g - 60
-6g - 12 = -60
-6g = -48
g = 8
What is the domain of the square root function graphed below?
On a coordinate plane, a curve opens down to the right in quadrant 1. The curve starts at (3, 1) and goes through (4, 2) and (7, 3).
x greater-than 1
x greater-than-or-equal-to 10
x greater-than 3
x greater-than-or-equal-to 3
Answer:
The answer is D on edge!
Answer:
x greater - than - or - equal -to 3