[tex]t(n) = 2 {n}^{2} + 2n [/tex]
_________________________________
[tex]t(1) = 2 ({1})^{2} + 2(1) [/tex]
[tex]t(1) = 2 \times 1 + 2 \times 1[/tex]
[tex]t(1) = 2 + 2 = 4[/tex]
##############################
[tex]t(2) = 2 ({2})^{2} + 2(2) [/tex]
[tex]t(2) = 2 \times 4 + 2 \times 2[/tex]
[tex]t(2) = 8 + 4 = 12[/tex]
##############################
[tex]t(3) = 2 ({3})^{2} + 2(3) [/tex]
[tex]t(3) = 2 \times 9 + 2 \times 3[/tex]
[tex]t(3) = 18 + 6 = 24[/tex]
##############################
[tex]t(4) = 2 ({4})^{2} + 2(4)[/tex]
[tex]t(4) = 2 \times 16 + 2 \times 4[/tex]
[tex]t(4) = 32 + 8 = 40[/tex]
##############################
[tex]t(5) = 2 ({5})^{2} + 2(5) [/tex]
[tex]t(5) = 2 \times 25 + 2 \times 5[/tex]
[tex]t(5) = 50 + 10[/tex]
[tex]t(5) = 60[/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
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Write a linear equation that passes through the points (-3, 3) and (9, -13) in standard form:
Answer:
4x +3y = -3
Step-by-step explanation:
The standard form equation can be written from ...
(y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1
(-13 -3)x -(9 -(-3))y = (-16)(-3) -(12)(3)
-16x -12y = 12
The standard form has a positive leading coefficient, and all terms mutually prime. We can get that by dividing the equation by -4:
4x +3y = -3
_____
Additional comment
The form we used above for the equation of the line essentially comes from the fact that the slope of a line is the same everywhere:
(y2 -y1)/(x2 -x1) = (y -y1)/(x -x1)
Multiplying by the product of denominators and separating variable terms from constant terms gives the form used above.
Solve |x -2.5| =8 please help
Answer (it has two solutions):
x = -5.5x = 10.5I hope this helps!
Given f (x) = x2 + 3x – 4 and values of the linear function g(x) in the table, what is the range of (f + g)(x)?
x –6 –3 –1 4
g(x) 13 4 –2 –17
ℝ
[–3, 3]
(–∞, –9]
[–9, ∞)
The range of function (f + g)(x) is (-9, ∞) option (D) is correct the linear function g(x) is g(x) = -3x - 5
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = x² + 3x - 4
The domain of the f(x) is all real numbers
The range of the g(x) is [-6.25, ∞)
g(x) is shown in the table:
x –6 –3 –1 4
g(x) 13 4 –2 –17
The linear function g(x) is:
[tex]\rm g(x) = \ -13=\dfrac{\left(4-13\right)}{-3+6}\left(x+6\right)[/tex]
g(x) = -3x - 5
(f + g)(x) = f(x) + g(x)
= x² + 3x - 4 - 3x - 5
(f + g)(x) = x² - 9
The domain of the function is all real numbers.
The range of the function (-9, ∞)
Thus, the range of function (f + g)(x) is (-9, ∞) option (D) is correct the linear function g(x) is g(x) = -3x - 5
Learn more about the function here:
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Find the values of d given the area of the quadrilateral. A=48 ft2
Answer:
x=12
Step-by-step explanation:
the area of a triangle is 1/2hb. so half of the shape's area would be:
(1/2)4x12=24
and 24x2=48
You were 20 inches tall at birth, and 65 inches tall on your 10th birthday. Create a linear equation to
represent this situation. According to your equation, how tall will you be at age 20?
Answer:
At age 20, you will be 90 in
A sample contains 300 grams of carbon-11, which has a half-life of 20 minutes.
Write a function, A, to represent the amount of carbon-11 remaining in the sample after T minutes.
Answer:
Step-by-step explanation:
1/2 of Cindy's money is equal to 2/3 of Emily's money. They have $105 altogether. How much money does each of them have?
Answer:
Cindy has $45 and Emily has $60
Step-by-step explanation:
let x be the amount of money , then
[tex]\frac{1}{2}[/tex] x + [tex]\frac{2}{3}[/tex] x = 105
multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions
3x + 4x = 630 , that is
7x = 630 ( divide both sides by 7 )
x = 90
Cindy has [tex]\frac{1}{2}[/tex] × 90 = $45
Emily has [tex]\frac{2}{3}[/tex] × 90 = $60
work out (7×10^5) ÷ (2×10^2)
Answer:
3500 is the correct answer .Step-by-step explanation:
( 7×10^5) ÷ (2×10^2)= (7 × 100000) ÷ ( 2×100)= 700000 ÷ 200= 3500Mark BRAINLIEST
Thank you ☺️☺️
A(n) ______ can be used to make hand measurements of angles of interest with the joint centers forming the vertices of the angles between adjacent body segments.
Answer:
The blank should say 'protractor'.
Step-by-step explanation:
I do not have one sorry,
A self-serve frozen yogurt restaurant charges its customers according to the weight of their filled frozen yogurt cup. So, the amount they charge is directly proportional to the weight of the purchase. If they charge $5.04 for a 12-ounce cup, how much do they charge for a cup weighing 8 ounces?
what is the lie fact about sociology
Answer: Social science or sociology is considered as science but it is a pseudoscience.
Step-by-step explanation:
The sociology is considered as science as the study of social class, ethnicity, and religion abide by people of the society. Like, other factual sciences like chemistry, biology, and physics the facts cannot be rectified or verified by experimental trials. Instead, it is based on assumption and day to day experience with surrounding social environment. Thus, we can say that sociology is a science is a lie.
A group of 49 hikers registered for an 8-day trekking trip. The organizers arranged food to last for the entire trip. A few last minute registrations saw more hikers join the expedition. As a result, the food lasted only for 7 days. How many hikers in all went trekking?
Answer:
56 people
Step-by-step explanation:
49 times 8= 392
392 divided 7= 56
Calculate the standard error. May normality be assumed? (Round your answers to 4 decimal places.)
Answer:
EX: 1.5436666=1.5437
1.12455555=1.1246
1.29244827=1.2924
Which operation should be used to solve x/3 = 15 ?
Answer:
Multiplication
Step-by-step explanation:
[tex]\frac{x}{3} =15[/tex]
To get the 3 out of the denominator, you would have to multiply each side by 3:
[tex]3*\frac{x}{3} =3*15\\x=45[/tex]
Answer:
X=45
Step-by-step explanation:
Multiply 3 on both sides
Subtract 7a
2
-4ab+2b
2
from 3ab+7a2+2b2
Answer:
Step-by-step explanation:
3ab + 7a² + 2b² - (7a² - 4ab + 2b²) = 3ab + 7a² + 2b² - 7a² + 4ab - 2b²
Now combine like term. Like terms have same variable with same power.
= 3ab + 4ab + 7a² - 7a² + 2b² - 2b²
= 7ab
What is the 6th term in the following sequence?
48, 40, 32, 24,
A.0
B.16
C.20
D.12
Answer:
should be 8 unless the first term is 56? or the question asks for 5th term which is 16
Step-by-step explanation:
Difference between 1st term and 2nd:
48-40 =8
Difference between 2nd term and 3rd:
40-32 =8
Clearly the jump between 1 point and the next is subtracting 8 or adding -8:
so 5th term will
24-8 =16
6th term:
16-8 =8
Answer:
16
Step-by-step explanation:
d=8
a=T1-d
48-8=4
T6=T5-d=8
In 72,165 give the value of the
digit in the thousands place?
SOMEONE PLEASE HELP ME !!! ASAP
Answer:
a; line BC corresponds to line FG
Step-by-step explanation:
we know that a is correct as after translating BC and FG are on the same side of the rectangle and have the same length
The length of a rectangle is 20sq ft. Find the length and the width
Answer:
Step-by-step explanation:
5 or 4 can be the length. And 5 and 4 can be the width.
length: 5, 4, 2, 10, etc.
width: 5, 4, 2, 10, etc.
the numbers listed above are options. Multiply the numbers.
And
.
there are many more, but these are commonly used. Hope it helps!
what is 12.8% of 1,300?
Answer:
166.4
Step-by-step explanation:
Percentage of 12.8% of 1300 = ? 12.8% of 1300 is equivalent to multiplying them: 12.8% × 1300. 12.7% of 1300 = ? 12.9% of 1300 = ? 1% of 1300 = ? Detailed ...
The cash price for a car was £7460. Mr Roberts bought the car on the
following hire purchase terms: A deposit of 20% of the cash price and 36 monthly payments of £191.60. Calculate the total amount Mr Roberts paid.
A shadow of a 4 foot pole is 10 feet long. A tower is 200 feet tall. What is the length of the shadow of the tower?
Answer:
27 feet
Step-by-step explanation:
We can set up a proportion comparing the height of each object to the length of the shadow.
h/s
h/15=18/10
Cross multiply.
10*h=18*15
10h=270
Use the multiplicative Inverse
10/10=270/10
h=27
Find the mean of the sampling distribution of sample means using the given information. Round to one decimal place, if necessary. μ=51 and σ=9; n=36
The sample mean of the distribution is an estimate of the population mean
The mean of the sampling distribution of sample means is 51
How to determine the meanThe given information are:
Population mean, μ = 51
Standard deviation, σ = 9
Sample size, n = 36
The sample mean is an estimate of the population mean.
So, we have:
[tex]\bar x = \mu[/tex]
Substitute known values
[tex]\bar x = 51[/tex]
Hence, the mean of the sampling distribution of sample means is 51
Read more about sampling distributions at:
https://brainly.com/question/15713806
the carpenter is tasked to fence a trapezoid lot whose sides are as follows : 9x, 8x-2, 17x-6 and 5x+1, where x represents the length of the piece of wood in meters that will be used. what expression could represent the total length of trapezoid to be fenced?
not necessarily. The two sides of equal length could be adjacent sides.
What is the measure of the
hypotenuse of a right triangle
if the legs measure 10 and 24?
Answer:
hypotenuse= 26
Step-by-step explanation:
c= a^2 + b^2
10^2 + 24^2= 26
95×2 the answer to problem is
95 times 2 is 190.
90 times 2 is 180, and 5 times 2 is 10.
180 + 10 = 190.
A glass holds 189 milliliters of juice. How many liters will 36 glasses hold?
(A) 6,804
(B) 680.4
(C) 68.04
(D) 6.804
Answer:
A
Because you have to Multiply
189 by 36
what value will(i)raised to power 8 give?
[tex]i = \sqrt{ - 1}[/tex]
[tex]i {}^{2} = - 1[/tex]
[tex]i {}^{ 3} = - 1 \sqrt{ - 1} [/tex]
[tex]i {}^{4} = 1[/tex]
[tex]i {}^{8} = i {}^{4} \times i {}^{4} = 1 \times 1 = 1[/tex]
Which of the following is a secant?
Answer:
Line EF is a secant. I hope this helps!
Answer:line ef
Step-by-step explanation:
Write the equation of the line that is perpendicular to 3x+2y=8 and goes through the point (-5,2)
Answer:
[tex]\displaystyle y=\frac{2}{3}(x+5)+2[/tex]
Step-by-step explanation:
We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).
The given line can be expressed as:
[tex]\displaystyle y=-\frac{3}{2}x+4[/tex]
We can see the slope of this line is m1=-3/2.
The slopes of two perpendicular lines, say m1 and m2, meet the condition:
[tex]m_1.m_2=-1[/tex]
Solving for m2:
[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]
[tex]\displaystyle m_2=-\frac{1}{-\frac{3}{2}}[/tex]
[tex]\displaystyle m_2=\frac{2}{3}[/tex]
Now we know the slope of the new line, we use the slope-point form of the line:
[tex]y=m(x-h)+k[/tex]
Where m is the slope and (h,k) is the point. Using the provided point (-5,2):
[tex]\boxed{\displaystyle y=\frac{2}{3}(x+5)+2}[/tex]