Answer:
Step-by-step explanation:
an = -15 + 5(n – 1)
Find the 21st term of the sequence.
Answer:
[tex]a21 = - 15 + 5(21 - 1) \\ = - 15 + 105 - 5 \\ = 85[/tex]
85 the 21st term of the sequence.
What is Arithmetic progression?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
here, we have,
an = -15 + 5(n – 1)
so,
a_21= -15+(21-1)5
=-15+100
=85
Hence, 85 the 21st term of the sequence.
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Determine whether the polygons with the given vertices are similar. Use transformations to explain your reasoning.
First Polygon - A(-4, 0), B(-4, -2), C(-2, -2)
Second Polygon - D(4, 6), E(4, 2), F(8, 2)
*WILL MARK BRAINLIEST* 15 POINTS
Match each word to its correct definition:
Answer:
2
3
1
4
Step-by-step explanation:
Angles that add up to 90 are Complementary angles.
Two angles that have a common vertex and a common side but do not overlap are Adjacent angles.
Angles that are opposite each other and have the same measurment are vertical angles.
Angles that add up to 180 are Supplementary angles.
Hope this helps!! :D
HELP ME PLS...................TY
Answer:
E
Step-by-step explanation:
the only one where all the pieces of the equation have the same signs
explain the steps to solve the word problem over similar figures.
John made a scale model of a car. The car has an actual height of 25 feet. Johns model used a scale in which 1 inch represents 10 feet. What is the height in inches of Johns model?
Answer:
2.5 inches
Step-by-step explanation:
Remember:
Big to small, multiply it all
Small to big, divide the pig
Since feet is bigger than inches we're dividing 25 by 10 which is 2.5
The area in square feet of a rectangular garden can be expressed as the product of the garden’s length and width, or A(x) = 3x2 +13x +14. If the width of the garden is (x + 2) feet, what is the length of the garden?
Answer:
3x+7
Step-by-step explanation:
Use long division or synthetic division. (3x^2+13x+14)/(x+2)
The length of the rectangular garden is 3x + 7
The given expression:
[tex]A = 3x^2 + 13x + 14[/tex]
the width of the garden = x + 2
let the length of the garden = y
To find:
the length of the gardenThe area of the rectangular garden is calculated as;
[tex]A = y(x + 2) = 3x^2 + 13x + 14\\\\y(x + 2) = 3x^2 + 13x + 14\\\\y = \frac{3x^2 + 13x + 14}{x + 2}[/tex]
Using long division method:
3x + 7
------------------------------
x + 2 √ 3x² + 13x + 14
- (3x² + 6x)
-------------------------
7x + 14
- (7x + 14)
-------------------------------
0
Thus, the length of the rectangular garden, y = 3x + 7
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What is the coefficient of the second term in the expression 2n+7m+6
Answer:
the answer is seven.
Step-by-step explanation:
The coefficient of the second term will be equal to 7.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
A coefficient in mathematics is a multiplicative factor in some term of a polynomial, series, or expression.
Given that the expression is 2n+7m+6. Here the first term is 2n second term is 7m and the third term is 6. The coefficient of the second term will be 7.
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The length of a rectangular room is 7.3 feet longer than the width, x,
of the room. Which expression represents the perimeter of the room?
Answer:
14.6+4x
Step-by-step explanation:
permimeter=length(2)+width(2)
7.3+x would be the length
so if you multiplied (7.3+x)2, you would get 14.6+2x if you distributive property.
Then if you multiply the width, x, by 2, you get 2x.
So we would get 14.6+2x+2x when we add them together.
And that would be 14.6+4x if you combine like terms.
And that would be your answer.
In the figure, a∥e, m∥n, and m∠1 = 108°.
What is the m∠3?
Enter your answer in the box.
°
Lines n and m (reading from top to bottom) are parallel to each other, and lines a and e are parallel to each other. The two pairs of lines intersect each other. Lines m and n start at top left and drop to the bottom right. Lines a and e rise from left to right. Only six of the sixteen angles created are labelled. Angle one is the top angle made by lines n and a. Angle two is the bottom angle. Angle three is the bottom angle made by lines m and a. Angle four is the top angle made by lines n and e. Angle five is the left angle. Angle six is the bottom angle made by lines m and e.
Answer:
I believe the answer is 108
Answer:
108
Step-by-step explanation:
Got 100% on my quiz
PLEASE ANSER FAST!!
Leah is buying a new couch that regularly costs $699, but is on sale for 10% off. She also has to pay a 7% sales tax on her purchase. Which expression could Leah use to calculate the final price of the couch?
699(1.10)(1.07)
699(1.10)(0.93)
699(0.90)(0.93)
699(0.90)(1.07)
Answer:
699(0.90)(1.07)
Step-by-step explanation:
Given that:
Regular cost of couch = $699
Onsale percentage = 10%
Sales tax in purchase = 7%
Final price of couch :
New price at Selling percentage :
Regular price * (discount) * (sales tax percentage)
Regular price * (100% - 10%) * (100 + 7%)
699 * (1 - 0.1) * (1 + 0.07)
699 * 0.90 * 1.07
699(0.90)(1.07)
HURRY ILL GIVE BRAINLIEST.!!!!!
Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used.
Simplify the given polynomials. Then, classify each polynomial by its degree and number of terms.
Polynomial 1: (1 - 1)(61 + 2)
Polynomial 2: (712 + 32) – (21.32 – 12)
Polynomial 3: 4(5.12 – 95 + 7) + 2(-10x2 + 185 – 13)
2
6.12 + 21 - 1
612 - I - 1
trinomial
linear
constant
6
binomial
Polynomial
Simplified Form
Name by
Degree
Name by
Number of Terms
1
612 - I - 1
quadratic
2
3.0 + 4
3
2
monomial
Reset
Next
Answer:
Polynomial 1:
Simplified Form: 6x^2 - x - 1
Name by Number of Terms: trinomial
Polynomial 2:
Name by Degree: linear
Name by Number of Terms: binomial
Polynomial 3:
Simplified Form: 2
Name by Degree: constant
Step-by-step explanation:
Polynomial 1:
(x-1/2)(6x+2)
6x^2 - 3x + 2x - 1
6x^2 - x - 1
It has 3 terms, so it's a trinomial.
Polynomial 2:
There is one term with x and x is raised to the first degree, so it's linear.
There are 2 terms, so it's a binomial.
Polynomial 3:
4(5x^2-9x+7)+2(-10x^2+18x-13)
20x^2 - 36x + 28 -20x^2 + 36x - 26
28 - 26
2
Since there are no variables and the answer is just 2, it's a constant.
factor 18v⁹+33v⁸+14v⁷ completely
Answer:
[tex]v^{7}[/tex] x (6v+7) x (3v+2)
Step-by-step explanation:
18v^9 + 33v^8 +14v^7
Factor out v^7 from the expression
v^7 x (18v^2+33v+14)
write 33v as a sum
v^7 x (18v^2+21v+12v+14) *like this 21v+12v
Factor out 3v from the expression
v^7 x (3v x (6v+7)+12v+14)
Factor out 2 from the expression
c^7 x (3v x (6v+7)+2(6v+7)
Factor out 6v+7 from the expression
v^7 x (6v+7) x (3v+2)
In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Joyce has scored 90, 93, and 85 on the first three. What range of scores on the fourth test will give Joyce a C for the semester (an average between 70 and 79, inclusive)? Assume that all test scores have a non-negative value.
Express your answer in interval notation.
HELP ASAP BRAINLEST AND THANKS
Answer:
[12,48]
Step-by-step explanation:
We will start by calculating the score she needs to get a 70 in the class
We will let x equal the fourth test
[tex]\frac{90+93+85+x}{4} =70[/tex]
This isn't hard to solve and we will do so by multiplying 4 by both sides and subtracting 268 (90+93+85)
This means that x= 12
We will then use the same formula but set it equal to 79
[tex]\frac{90+93+85+x}{4} =79[/tex]
We solve x in the exact same way and get x=48
our final answer is now [12,48]
(8,-7)m=-3/4 write an equation in point slope form of the line that passes through the given point and has the given slope
Answer:
Equation of the straight line in point-slope form
y -(-7) = [tex]\frac{-3}{4}[/tex](x-8)
Equation of the straight line
3x +4y +4=0
Step-by-step explanation:
Explanation:-
Given that the point ( 8,-7) and [tex]m = \frac{-3}{4}[/tex]
Equation of the straight line passing through the point (x₁, y₁) and having slope 'm'
y - y₁ = m (x-x₁)
y -(-7) = [tex]\frac{-3}{4}[/tex](x-8)
4( y+7) = -3(x-8)
4y +28 = -3x +24
3x +4y +28 -24 =0
3x +4y +4=0
Please answer this question.
Can anyone help me with this question please .
Answer:
its the second one
Step-by-step explanation:
How many ounces are equal to 7 pounds?
Answer: 112 ounces
Answer:
Why did you7 ask a question then anwser it yourself
Step-by-step explanation:
If 3x - 7 = 2, then x equals?
Answer:
rjogir
grggreijgojrejow
g
Step-by-step explanation:
Answer:
3x - 7 = 2
3x = 2 + 7
3x = 9
x =9/3
x = 3
x equals 3
4y=x+8 pls answer hurry up pls
Answer:
x=-8
y=2
Step-by-step explanation:
Can someone help me (7th grade science) need to be done as sonn as possible
Answer:
1. B
2. Reflection
3. Refraction
Step-by-step explanation:
Carl saids the he is 5 feet tall. His sister is 60 inches tall.Are theses heights are the same? explain why are they not?
Answer:
they are the same
Step-by-step explanation:
i know because i do
A construction manager needs 12 workers to complete a building project in 54 days. Find in terms of T the number of workers needed to complete the same project in T days
Answer:
2T/9Step-by-step explanation:
A construction manager needs 12 workers to complete a building project in 54 days, we can write;
12 workers = 54 days
T find the number of workers needed to complete the same project in T days, we will write;
x workers = T days
Divide both equations
12/x = 54/T
Cross multiply
12T = 54x
x = 12T/54
x = 2T/9
Hence the number of workers needed to complete the same project in T days is 2T/9 workers
If three apples cost $6, how much does one apple cost? *
Answer:
2 dollars
Step-by-step explanation:
What is the solution to the equation: 2x-5 = -x+7
A: x=4
B: x=12
C: x=2
D: x=-4
Answer:
D: x=-4
Step-by-step explanation:
12x+3y=-9
find y- intercept
Answer:
3
Step-by-step explanation:
subtract 3y from both sides
add 9 to both sides
3y=12x+9
divide everything by 3
y=4x+3
y-intercept is 3
i need the anwser and the fractions
Answer:
5.5/3 - 3/1 = 2.5/3
can the numbers 3,6 and 8 be the values for the sides of a triangle
Answer:
No
Step-by-step explanation:
The reason why is the square root of 3^2 + 6^2 does not equal 8^2.
What is 3/4 divided 1/2
Answer:
1.5
Use KCF to solve this problem
Answer:
1 1/2
Step-by-step explanation:
When dividing fractions, use Keep Change Flip, to get 3/4*2/1, this gives you 6/4, which is equal to 1 1/2
Determine the intercepts of the line
y-intercept (__,__)
x-intercept (__,__)
PLEASE HELP ASAP! i’ll mark brainlest
Answer:
it looks like you already have the 2 answers
Step-by-step explanation: