Answers
Answer:
The equation for the nth term of the arithmetic sequence is:
[tex]a_{n} = a + (n-1)d\\[/tex]
The [tex]a_{30}[/tex] is 140
Step-by-step explanation:
"a" represents the first term which is -5.
"d" represents the common difference which is 5.
To find the common difference, just subtract the 2nd and 1st term.
0 - (-5) = 5
Now put the values in the equation:
[tex]a_{n} = a + (n - 1)d\\a_{n} = (-5) + (n - 1)5[/tex]
We are finding the 30th term so just put 30 to the "n" to help us find the 30th term of the sequence.
[tex]a_{30} = -5 + (30-1)5\\a_{30} = -5 + (29)5\\a_{30} = -5 + 145\\a_{30} = 140[/tex]
So the 30th term is 140
Related Questions
Find the sum of the first 15 terms of the AP:11,5,-1,-7
Answers
Here is ur answer
- BRAINLIEST ANSWERER
How would you best describe the angle pair
<3 and <8
Answers
Answer:
Vertical angles
giving brainliest to someone earning it
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Answer:
um... okie
Step-by-step explanation:
A train has an odd number of cars. The number of cars Is greater than 1 and less than 9
Answers
BRAINLIEST PLEASE
the deer population in georgia was 450,000 in 2010, and the population doubles every 5 years. in what year will the deer population in georgia reach 1 million
Answers
Answer:
We know that in 2020 the population of deer will be 900,000 based on the given numbers. In another 5 years the population will be over 1 million (1,350,000) in order to calculate when it will reach 1 million we need to see how much growth is gained per year. I believe to obtain that information we will need to divide 450,000 by 5 that equals 90,000 a year. So if I’m 2020 the population of deer will be 900,000 than add 90,000 until you reach your 1 million marker. In this case 2021 would be 990,000 thousand so 2022 would be 1,080,000. So your answer should be year 2022. Hope that helps
-5/6e-2/3=-24 what does e=
Answers
Answer:
-5e/6-2/3=-24
Step-by-step explanation:
Farmer Bob is planting a garden this spring. He wants to plant squash, pumpkins, corn, beans, and
potatoes. His plan for the field layout in feet is shown in the figure below. Use the figure and your
knowledge of polynomials, perimeter and area to solve the following questions.
1. Write a polynomial expression that represents the area of the potato field.
2. Simplify a polynomial expression that represents the area of the potato field.
3. Explain why the calculated area would be useful to Farmer Bob.
Answers
The simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72
From the diagram shown, we can see that the area of the potato field can be represented as a scaled factor of the area of the farm because they are both rectangular in nature.
Area of the potato field = length * width
Length = x^2 + 7x + 12
Width = x + 6
Substitute into the formula to get the required polynomial
Area of the potato field = (x^2 + 7x + 12)(x+6)
Area of the potato field = x^3+6x^2+7x^2+42x+12x+72
Area of the potato field = x^3 + 13x^2 + 54x + 72
Hence the simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72
Learn more on polynomial expression here: https://brainly.com/question/21534285
write an equation in slope-intercept form of the line (-10,-4) and (5,6)
Answers
Answer:
y = 2/3x + 8/3
Step-by-step explanation:
Help pls ? I just need this one question :,)
Answers
Answer:
=3b^2x(2b-1)x(2b+1)
Step-by-step explanation:
What is Calculus ???
Answers
Answer:
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.
Answer:
The fundamental idea of calculus is to study change by studying "instantaneous " change, by which we mean changes over tiny intervals of time. And what good is that? It turns out that such changes tend to be lots simpler than changes over finite intervals of time.
Step-by-step explanation:
Solve 3(x - 4) = 11x
Answers
Answer:
[tex]x = \frac{-3}{2}[/tex]
Step-by-step explanation:
3(x - 4) = 11x
Expand the brackets:
3x - 12 = 11x
Subtract 3x from both sides to isolate the -12:
3x - 12 = 11x
3x - 3x - 12 = 11x - 3x
-12 = 8x
8x = -12
Divide both sides by 8:
[tex]\\\frac{8x}{8} = \frac{-12}{8}\\x = \frac{-12}{8}\\[/tex]
Simplify fraction:
[tex]x = \frac{-12}{8}[/tex]
[tex]x = \frac{-12 \div 4}{8 \div 4}\\x = \frac{-3}{2}[/tex]
Hope this helps!
Nicole makes $26,400 per year. Her monthly rent is 25% of her monthly income. (find the monthly income to find the monthly rent) What is her monthly rent? I assume $26,375?
Answers
2. Now we can find 25% of this to work out her monthly rent: 0.25 x $2,200 = $550. (25% is 0.25 as a decimal)
Answer = $550
Hope this helps!
A class has 8 boys and x girls. Each student has 4 pencils. The total number of pencils the students is 52.Create an equation that models this situation.How many girls are in the class?
Answers
8 boys, x girls, 4 pencils each, total number of pencils 52.
The equation can be 4(8+x) = 52
So lets solve:
4(8+x)=52
Divide 4 on both sides:
8 + x=52 / 4
8 + x = 13
Subtract on both sides:
x = 13 - 8
x = 5
There are 5 girls in the class.
Now lets solve to double check:
4(8+5)=52
4(13)=52
52 = 52
Yes!
This means that there are 5 girls in the class.
I hope this helps! :)
Taking into account the definition of equation, there are 5 girls in the class.
Definition of equationAn equation is defined as an equality established between two expressions, in which there may be one or more unknowns that must be solved.
In other words, an equation is the equality between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
Each equation has two members, and these are separated by using the equal sign (=), which in turn each of them are made up of terms.
The unknowns, that is, the values to be found, are represented by letters.
The equality between the two algebraic expressions is only verified for certain values of the unknown.
In this way, the solution of an equation means determining through certain procedures the value that satisfies it.
Equation for this situationA class has 8 boys and x girls. Each student has 4 pencils. The total number of pencils the students is 52.
An equation that models this situation is:
4×(8+x)= 52
It is considered that:
When a value you are adding goes to another side of the equation by subtracting.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value you are multiplying goes to the other side of the equation, then it will go by dividing everything on the other side.Solving in this case:
8 +x= 52÷4
8 +x= 13
x= 13 -8
x= 5
Finally, there are 5 girls in the class.
Learn more about equation:
https://brainly.com/question/296895
https://brainly.com/question/643184
Write a proportion relating the side lengths of the triangle to any other triangle that has the line as a hypotenuse, a horizontal length of x units, and a vertical length of y units.
Answers
Answer:
y/x = 2 or y = 2xStep-by-step explanation:
The given triangle has:
Vertical segment = 2 unitsHorizontal segment = 1 unitThe ratio (slope) is:
2/1 = 2For any triangle using same line the proportion is:
y/x = 2 ory = 2xwhat is 22 over 7 - 2 over 3 divided by 2
Answers
jamelia paid $8.40 for sliced turkey the amount she bought was 2.40 lb how much did jamelia pay per pound for the sliced turkey
Answers
This is because $8.40 / 2.40lb = $3.50
What is the slope of the line that passes through the two following points?
(2,-5),(-1,4)
- 1/3
- -1/3
- 3
- -3
Answers
y= 4-(-5)/-1-2
y= 9/-3
y= -3
Therefore, the slope of the line is y=-3
please ehlp delta math with explanation please
Answers
Answer:
134.3
Step-by-step explanation:
In [tex]\triangle{WXZ},[/tex] a right triangle, look at sides XW and XZ.
[tex]\frac{XW}{XZ}=\frac{\text{adjacent}}{\text{hypotenuse}}=\cos{82^\circ}\\\\XW=(XZ)\cos{82^\circ}[/tex]
You now need to find XW.
In [tex]\triangle{XYZ},[/tex] the measure of angle XZY (the one at the top) is 180 - (82 + 67) = 31 degrees.
Using the Law of Sines in triangle XYZ,
[tex]\frac{XZ}{\sin{67^\circ}}=\frac{540}{\sin{31^\circ}}\\\\XZ=\frac{540 \sin{67^\circ}}{\sin{31^\circ}}[/tex]
Put that into the equation for XW above...
[tex]XW=\frac{540\sin{67^\circ}\cos{82^\circ}}{\sin{31^\circ}}[/tex]
A calculator shows that this is approximately 134.3
Help quick
......... pls?
Answers
Answer:
6x^3yz^4
Step-by-step explanation:
(2x3)x^2xyz^4
6x^2+1yz^4
6x^3yz^4
A bird flying 45 feet above a river dives
down 58 feet to catch a fish. Find the
location of the fish relative to the surface of
the water.
Answers
Complete the description of the piecewise function graphed below.
Answers
Step-by-step explanation:
not everything is visible, and the points' coordinates have to optically estimated (particularly for the leftmost point).
I assume, we have the following points :
(-6, 1.5) (-3, 3)
(-3, 2) (1, 2)
(1, 1) (6, -9)
all 3 segments are lines with the basic function definition
y = ax + b
a is the slope of the line function and is always the factor of x.
it is the ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.
b is the y-intercept (the y value when x = 0).
the first segment goes from (-6, 1.5) to (-3, 3).
x changes by +3 units (from -6 to -3).
y changes by +1.5 or 3/2 units (from 1.5 to 3).
the slope of the line is 3/2 / 3 = 3/(2×3) = 1/2
giving us the first part
y = (1/2)x + b
b we get by using the coordinates of one point (e.g. -3, 3) as x and y values and solve for b :
3 = (1/2)×-3 + b
3 = -3/2 + b
6/2 + 3/2 = b
9/2 = b
the full equation is
y = (1/2)x + 9/2 = (x + 9)/2
the second segment is a flat, horizontal line and is simply
y = 2
the third segment goes from (1, 1) to (6, -9) :
x changes by +5 units (from 1 to 6).
y changes by -10 units (from 1 to -9).
the slope of the line is -10/5 = -2
giving us the first part
y = -2x + b
b we get by using the coordinates of one point (e.g. 1, 1) as x and y values and solve for b :
1 = -2×1 + b
1 = -2 + b
3 = b
the full equation is
y = -2x + 3
The answer is in the pic below!
(1 point) Water is leaking out of an inverted conical tank at a rate of 8500.0 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 14.0 m and the the diameter at the top is 7.0 m. If the water level is rising at a rate of 29.0 cm/min when the height of the water is 1.5 m, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
Answers
Answer:
2030.4
Step-by-step explanation:
divided 85 and 7.0
solve pls brainliest
Answers
Answer:
3421
Step-by-step explanation:
3421 the order the tiles are in
Please show work
I just need long division, I got synthetic division done .
Answers
Answer:
(10x^4-50x^3-800)/(x-6)
Step-by-step explanation:
Images with work attached
Answer:
10 • (x^4 - 5x^3 - 80)
————————————————————
x - 6
Step-by-step explanation:
STEP 1:
Equation at the end of step 1
STEP 2:
Equation at the end of step 2
:
STEP 3:
10x4 - 50x3 - 800
Simplify —————————————————
x - 6
STEP 4:
Pulling out like terms
Pull out like factors :
10x^4 - 50x^3 - 800 = 10 • (x^4 - 5x^3 - 80)
Polynomial Roots Calculator :
Find roots (zeroes) of : F(x) = x^4 - 5x^3 - 80
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -80.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,4 ,5 ,8 ,10 ,16 ,20 ,40 ,80
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -74.00
-2 1 -2.00 -24.00
-4 1 -4.00 496.00
-5 1 -5.00 1170.00
-8 1 -8.00 6576.00
Polynomial Roots Calculator found no rational roots
Polynomial Long Division :
Dividing : x^4 - 5x^3 - 80
("Dividend")
By : x - 6 ("Divisor")
dividend x^4 - 5x^3 - 80
- divisor * x^3 x^4 - 6x^3
remainder x^3 - 80
- divisor * x^2 x^3 - 6x^2
remainder 6x^2 - 80
- divisor * 6x^1 6x^2 - 36x
remainder 36x - 80
- divisor * 36x^0 36x - 216
remainder 136
Quotient : x^3 + x^2 + 6x + 36
Remainder : 136
= 10 • (x^4 - 5x^3 - 80)
————————————————————
x - 6
Hope this helps, have a nice day/night! :D
help plzz
Find the length of X
Answers
Answer:
the answer is x=8 that is the answer
Using the findings (e.g., themes) from a qualitative study to develop a new quantitative survey is known as what type of integration
Answers
Using the findings from a qualitative study to develop a new quantitative survey is known as mixed integration.
Mixed integration is called the data collection and information classification system that includes both qualitative and quantitative processes as access mechanism to said data and information, that is, performing a mixed or dual analysis of the concepts being studied.
Learn more in https://brainly.com/question/1978633
the k the term is 1199/1200. What's k.
Answers
Answer:
could I get a picture plz
What is the y-intercept of the line?
Answers
Answer:
34
Step-by-step explanation:
We start by working out the slope. The slope is change in y over change in x, so (66-58)/(-56)-(-42) is the slope here. 66-58 is 8, and -56-(-42) is -14. -8/14=-4/7. The equation of a line in slope-intercept form is y=mx+b where b is the y intercept and m is the slope. Since the slope is -4/7, then y=-4/7x+b. We then insert any x and y pair into this equation and solve for b, the y intercept to get it. (We can do ANY pair) So, 50=(-4/7)(-28)+b.
: 50=16+b
: 50-16=b
: 34=b
So, in conclusion, the y intercept is 34. Hope this helps!
DUE IN 2 HOURS HELP QUICK! I WILL GIVE U BRAINLIEST
Answers
A is 81
7 x 7 x 7 x 7 = 2,401
2,401 x 7 = 16,807
B is 16,807
10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1000000000
10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000
1000000000/ 10000000 = 100
C is 100
5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390,625
390,625/ 5 = 78125
D is 78,125
Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]
(a)
3² × 3² = [tex]3^{(2+2)}[/tex] = [tex]3^{4}[/tex]
(b)
7 × [tex]7^{4}[/tex] = [tex]7^{(1+4)}[/tex] = [tex]7^{5}[/tex]
c)
[tex]10^{9}[/tex] ÷ [tex]10^{7}[/tex] = [tex]10^{(9-7)}[/tex] = 10²
(d)
[tex]5^{8}[/tex] ÷ 5 = [tex]5^{(8-1)}[/tex] = [tex]5^{7}[/tex]
please help me with both questions I will give brainliest , thank youu!!
Answers
Answer:
1st. yes
2nd. no
i don't know
Step-by-step explanation: