Answer:
term to term rule is +2
The first term is -8
80th term is 150
Step-by-step explanation:
70 to 72 is adding 2
72 to 74 is adding 2
term to term rule is +2
The equation for a sequence like this is
xn = a + d(n−1)
where n is the term number a is the first term and d is the term to term rule
Using the 40th term is 70
70 = a + 2( 40-1)
70 = a + 2( 39)
70 = a + 78
Subtract 78 from each side
-8 = a
The first term is -8
80th term
xn = a + d(n−1)
x80 = -8 +2 (80-1)
= -8+2(79)
= -8+158
= 150
Solve : 1 − | 0.2(m−3)+ 1/4| =0
Answer:
1-{0.2(m-3)+¼}=0
1{0.2m-0.6+¼}=0
1-{(0.8m-2.4+1)/4}=0
1-(0.8m-1.4)/4=0
lcm
(4-0.8m-1.4)/4=0
(2.6-0.8m)/4=0
cross multiply
2.6-0.8m=0
m=2.6/0.8
m=3.25
The solution of the expression are,
⇒ m = 3.25
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Expression is,
⇒ 1 - | 0.2 (m - 3) + 1/4 | = 0
Now, We can simplify as;
⇒ 1 - | 0.2m - 0.6 + 1/4| = 0
⇒ 1 - |0.2m - 0.6 + 0.25| = 0
⇒ 1 - |0.2m - 0.35| = 0
⇒ 1 = 0.2m + 0.35
⇒ 1 - 0.35 = 0.2m
⇒ 0.2m = 0.65
⇒ m = 3.25
Thus, The solution of the expression are,
⇒ m = 3.25
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what is a supplementary angle of 750
Answer:
105°
Step-by-step explanation:
Supplementary angle of 75° = 180° - 75° = 105°
Answer:
105°
Step-by-step explanation:
angle given is 75°
= 180° - 75°
= 105°
Which set of ordered pairs represents a function? {(0,1), (1,3), (1,5) (2,8)}, {(0,0), (1,2), (2,6), (2,8)}, {(0,0), (0,2), (2,0), (2,4)}, {(0,2), (1,4), (2,6), (3,6)}
Answer:
The last set.
Step-by-step explanation:
The first 3 sets contain 'one-to-many' relations , for example (1, 3) and (1, 5) in set 1 and (0, 0) and (0, 2) in set 3 , so they are not functions.
The last set does not have any of these and is a function.
The graph of a linear equation g(x)=-1/3x +2 can be obtained from the graph f(x)=1/3x by using infinite sets of elementary translation (i.e reflection and shifting). List out five of those sets
Answer:
{Rx, T(-6, 4)}{Rx, T(-3, 3)}{Rx, T(0, 2)}{Rx, T(3, 1)}{Rx, T(9, -1)}Step-by-step explanation:
We assume you are not interested in five infinite sets of translations. Rather, we assume you want to pick 5 translations from the infinite set of possibilities.
The attached graph shows f(x), g(x), and 5 lines (dashed or dotted) that represent possible reflections and shifts of the function f(x).
The function f1 represents a reflection of f(x) about the x-axis, followed by a left-shift of 6 units. To make it match g(x), we need to shift it upward 4 units. Then the set if translations is ...
g(x) = f(x) ... {reflected over the x-axis, shifted left 6, shifted up 4}
Along the same lines, other possibilities are ...
g(x) = f(x) ... {reflected over the x-axis, shifted left 3, shifted up 3}
g(x) = f(x) ... {reflected over the x-axis, shifted left 0, shifted up 2}
g(x) = f(x) ... {reflected over the x-axis, shifted right 3, shifted up 1}
g(x) = f(x) ... {reflected over the x-axis, shifted right 9, shifted down 1}
___
Additional comment
All of the transformations listed above use reflection in the x-axis. Reflection could use the y-axis, as well. Reflection of the basic function f(x) in the y-axis will have the identical effect as reflection in the x-axis. The listed translations would apply unchanged.
Find the area between the graph of f of x equals the product of x squared and e raised to negative 1 times x cubed power and the x-axis for the interval (0, ∞). Your work must include the proper notation and show the antiderivative. If the integral diverges, show why.
If [tex]f(x)=x^2e^{-x^3}[/tex], then the area between the graph of [tex]f(x)[/tex] and the x-axis for non-negative x is given by the integral,
[tex]\displaystyle\int_0^\infty x^2e^{-x^3}\,\mathrm dx[/tex]
Let [tex]u=-x^3[/tex] and [tex]\mathrm du=-3x^2\,\mathrm dx[/tex]; then the integral is equivalent to
[tex]\displaystyle-\frac13\int_0^{-\infty}e^u\,\mathrm du=\frac13\int_{-\infty}^0e^u\,\mathrm du=\frac13\left(1-\lim_{u\to-\infty}e^u\right)=\boxed{\frac13}[/tex]
[tex]x+7-4(x+1)=-10[/tex]
━━━━━━━☆☆━━━━━━━
▹ Answer
x = 13/3, 4 1/3, or 4.3
▹ Step-by-Step Explanation
x + 7 - 4(x + 1) = -10
x + 7 - 4x - 4 = -10
-3x + 7 - 4 = -10
-3x + 3 = -10
-3x = -10 - 3
-3x = -13
x = 13/3, 4 1/3, or 4.3
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
x = 13/3
Step-by-step explanation:
x + 7 - 4(x + 1) = -10
x + 7 - 4x - 4 = -10
-3x + 3 = -10
-3x = -13
x = -13/(-3)
x = 13/3
7 times the difference between m and 8
Answer:
7(m-8)
Step-by-step explanation:
We are given: 7 times the difference between m and 8
We want to write an expression. Let’s begin with “the difference between m and 8”.
Difference means subtraction. Therefore, we must subtract m and 8.
(m-8)
Now, let’s add on “7 times”
Times means multiply. Therefore, we must multiply 7 and the expression we just wrote.
7(m-8)
Therefore, 7 times the difference between m and 8 can be written as: 7(m-8)
Answer:
7(m-8)
Step-by-step explanation
7 times the difference between m and 8 = 7*(m-8)
First, we know that difference, in a mathematical term, means subtraction, and “times” Means multiplication.
But, since it says,” difference between m and 8”, we must put those in parentheses, so we know that it is m-8, not 7*m.
so, therefore you have 7*(m-8), or 7(m-8)
7.
The area of this parallelogram is 120 ft. Find the value of h.
1
20 ft
12 ft
3 ft
15 ft
6 ft
Answer:
h = 6 ft.Step-by-step explanation:
area = base x height
where base = 20 ft.
height = ?
area = 120 ft²
plugin values into the formula
120 = 20 x height
height = 120
20
height = 6 ft.
Which fraction is equal to 60%?
2 of
100
600
60
100
100
60
6.0
100
Answer:
Step-by-step explanation:
[tex]60\% =\\\\\frac{60}{100} \\=0.6[/tex]
Answer:
3/5
Step-by-step explanation:
60% as a fraction is 3/5 :)
I need to know if the following questions are true or false
Answer:
False
Step-by-step explanation:
To find <A, we can do 5x - 80 = 3x + 20.
As we simplify, we will get 2x = 100, which is x = 50
Therefore, <A will be 50 degrees and not 45 degrees.
Also, if you need y, you can do:
3y - 7 = y + 7
2y = 14
y = 7
I need an answer for the attachment below:
Answer:
[tex] - \frac{ 1}{4} [/tex]Step-by-step explanation:
The line passes through points ( - 1 , 2 ) and ( 3 , 1 )
Let there points be A and B
A ( -1 , 2 ) -----> ( x1 , y1 )
B ( 3 , 1 ) -------> ( x2 , y2 )
Now, Let's find the gradient ( slope)
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
plug the values
[tex] = \frac{1 - 2}{3 - ( - 1)} [/tex]
Calculate the difference
[tex] = \frac{ - 1}{3 - ( - 1)} [/tex]
When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression
[tex] = \frac{ - 1}{3 + 1} [/tex]
Add the numbers
[tex] = \frac{ - 1}{4} [/tex]
Use [tex] \frac{ - a}{b} = \frac{a}{ - b} = - \frac{a}{b} [/tex] , to rewrite the fraction
[tex] = - \frac{1}{4} [/tex]
Hope this helps...
Best regards!!
Find the lateral area of the prism.
Answer:
576"
Step-by-step explanation:
AL=ph
AL= (4*12)12
AL= 48*12
AL=576"
A random sample of 51 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.03 years, with sample standard deviation s = 0.82 years. However, it is thought that the overall population mean age of coyotes is μ = 1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use α = 0.01.
Answer:
Yes the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 51[/tex]
The sample mean is [tex]\= x = 2.03[/tex]
The sample standard deviation is [tex]\sigma = 0.82[/tex]
The population mean is [tex]\mu = 1.75[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The null hypothesis is
[tex]H_o : \mu = 0.82[/tex]
The alternative hypothesis is
[tex]H_a : \mu >1.75[/tex]
The critical value of the the level significance [tex]\alpha[/tex] obtained from the critical value table for z-value is [tex]z_\alpha = 2.33[/tex]
Now the test statistic is mathematically evaluated as
[tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]
substituting values
[tex]t = \frac{ 2.03 - 1.75 }{\frac{0.82}{\sqrt{51} } }[/tex]
[tex]t = 2.44[/tex]
From that calculated and obtained value we see that the critical value of the level of significance is less than the test statistics so we reject the null hypothesis
Hence there sufficient evidence to proof that the sample data indicates that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years
An 8 foot square floor is to be covered with square tiles measuring 8 inches on each side. If each tile
costs 50 cents, how much will it cost to tile the floor?
A. $32
B. $64
C. $72
D. $96
Please explain how to get the answer
Answer:
72
Step-by-step explanation:
There are 12 inches in a foot.
Therefore in 8 feet there are 96 inches
Therefore the square floor is 96 * 96.
Therefore the area of the square floor is 9216 inches squared.
Each tile is 8 inches by 8 inches meaning it has an area of 64 inches squared.
9216 / 64 = 144.
Therefore 144 tiles are needed to tile the floor
Since each tile is 50 cents, 144 * 0.5 = 72
Therefore it costs 72 dollars to tile the floor.
Question 2 of 9
Enter the correct answer in the box.
What is the factored form of this expression?
x2 + 6x - 16
Substitute numerical values into the expression for p and q.
(x + p) (x +9)
Answer:
x^2 + 6x - 16
=x^2 + ( 8-2 )x -16
=x^2 + 8x - 2x -16
= X(X+8) -2(X+8). ( Taking common from term 1 and 2 and then from 3 and 4)
= ( X+8 ) ( x-2 ) ( Taking common from term 1 and 2).
so, this is the factored form of the expression x^2 + 6x - 16.
Answer:
1.(x-2)(x+8)
Step-by-step explanation:
1.x2+8x-2x-16
=×(x+8)-2(x+8)
=(x-2)(x+8)
from the top of a building 10m high the angle of depression of a stone lying on the horizontal ground is 60° . calculate the distance of the stone from the foot of the building
Answer:
14.29cm
Step-by-step explanation:
Height of the building=10cm
Angle of depression=60°
We are therefore asked to find the distance from the stone to the
the foot of the building;Therefore we use Tan ratio which is opp/adj;
Let the distance from the stone to the foot of the building be x;
10/x=Tan60°
10/x=1.7/1
We then cross multiply to get 1.7x=10
x=10/1.7
=10*10/1.7*10
=100/17
=14.29cm.
WILL GIVE BRAINLIEST!!!! A 5×5×5 wooden cube was painted and then sawed into 1×1×1 cubes.
b. How many 1×1×1 cubes are completely unpainted?
c. How many 1×1×1 cubes have exactly two faces painted?
Answer:
b.27 c. 36 (THIS ANSWER IS CORRECT....IM IN RSM ;)
Step-by-step explanation:
The bottom one is for b.
Okay now for c. Lets first think about every cube that has two faces painted. all the cubes on the edges right? So that would be 5*12=60 but that isn't the answer because the problem stated EXACTLY two faces. That means every cube on a vertices doesn't count because it has 3 faces painted. If you look back at the edges and don't count the cubes on the vertices you will see that there are 3 cubes that fit these guide lines on each edge and there are 12 edges. So your answer would be 3*12=36!
You can do it simply by seeing that the outer cubes will have their upper surfaces painted and thus 5*5 squares for each outer surface which will leave a cube with 3×3×3 dimensions. It is 3*3*3 because on every side all the outer cubes will be painted. So one layer of the cube will be decreased by one on all sides. So the length width and height will all end up as 5-2=3. Its kind of hard to explain and i suggest you draw it out if you don't understand...
The number of 1×1×1 cubes that are completely unpainted is 27 and the number of 1×1×1 cubes have exactly two faces painted. is 36.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
b. BY looking that the outer cubes will have their upper surfaces painted and thus 5 x 5 squares for each outer surface which will leave a cube with 3×3×3 dimensions.
It is 3 x 3 x 3 because on every side all the outer cubes will be painted. So one layer of the cube will be decreased by one on all sides. The length width and height will all end up as 5-2=3.
c. Let's first think about every cube that has two faces painted. So that would be 5x 12=60 but that isn't the answer because the problem stated exactly two faces.
That means every cube on vertices doesn't count because it has 3 faces painted. If you look back at the edges and don't count the cubes on the vertices you will see that there are 3 cubes that fit these guidelines on each edge and there are 12 edges.
The number is calculated as:-
N = 3x 12=36
Hence, the number of 1×1×1 cubes that are completely unpainted is 27 and the number of 1×1×1 cubes has exactly two faces painted. is 36.
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Use a calculator to determine the pattern of attractors for the equation y =kx(1-x) for the given value of k and the given initial value of x
K=3.26, x=0.8
Guys, I need help quickly?
Answer:
0.5216
Step-by-step explanation:
Given the function y =kx(1-x), the pattern of attractors are the value(s) of y at the initial value of k and x. Given the value of k = 3.26 and x = 0.8, to get the pattern of attractors, we will substitute the given initial value into the function as shown;
[tex]y =kx(1-x)\\\\y = 3.26(0.8)(1-0.8)\\\\y = 3.26*0.8*0.2\\\\y = 0.5216\\\\[/tex]
Hence, the pattern of attractor for the equation y is 0.5216
Without using a calculator, what is 30% of 546? (You can round up to avoid decimal points)
Answer:
Hey there!
We can solve this by multiplying 0.3 by 546, which is about 164.
Hope this helps :)
Explanation: Set up your equation as you read through the problem.
"What" means x, "is", equals, "30%", 30/100, "of", times, "546", 546.
So our equation reads x = 30/100 · 546.
Simplifying on the right side of the equation,
we can reduce 30/100 to 3/10.
So we have x = 3/10 · 546.
Now multiply across the numerators and denominators to get 1638/10.
This reduces to 819/5 which can be written as 163.8.
find the value of a, b, c, and d,
type exact answers and use radicals as needed
Step-by-step explanation:
Using trigonometrical functions we can obtain the required side lengths.
[tex] \sin 45\degree = \frac{a}{16\sqrt 2}\\\\
\therefore \frac{1}{\sqrt 2}= \frac{a}{16\sqrt 2}\\\\
\therefore a = \frac{16\sqrt 2}{\sqrt 2}\\\\
\huge\red {\boxed {\therefore a = 16}} \\\\
\cos 45\degree = \frac{c}{16\sqrt 2}\\\\
\therefore \frac{1}{\sqrt 2}= \frac{c}{16\sqrt 2}\\\\
\therefore c = \frac{16\sqrt 2}{\sqrt 2}\\\\
\huge\purple {\boxed {\therefore c = 16}} \\\\
\sin 30\degree = \frac{a}{b}\\\\
\therefore \frac{1}{2}= \frac{16}{b}\\\\
\therefore b = {16\times2}\\\\
\huge\orange{\boxed {\therefore b = 32}} \\\\
\tan 30\degree = \frac{a}{d}\\\\
\therefore \frac{1}{\sqrt 3}= \frac{16}{d}\\\\
\therefore d = {16\times\sqrt 3}\\\\
\huge\pink {\boxed {\therefore d = 16\sqrt 3}} \\\\
[/tex]
A coin is tossed and an eight-sided die numbered 1 through 8 is rolled. Find the probability of tossing a head and then rolling a number greater than 2. The probability of tossing a head and then rolling a number greater than 2 is nothing. (Round to three decimal places as needed.)
Answer:
7 out of 8
Step-by-step explanation:
heads gets tossed and there's only 6 numbers to choose from on the die
Answer: =0.375
Step-by-step explanation:
Actually we have to find the probability that both events will happened.
1st event the coin will be turned by a head P(head).
2nd event the number is greater than 2 , i.e. can be 3,4,5,6,7 or 8 P(a>2)
Both events do not depend from each other. So the resulted probability
can be calculated multuplying probabilities P(head) and P(a>2) on each other. P(head, a>2)= P(head)*P(a>2)
P(head) =1/2=0.5 so the coin has 2 sides only one of them is head.
P(a>2)=6/8 so rolling the eight -sided doe 8 outcomes are possible and six of them 3,4,5,6,7 or 8 can give us the number that is bigger than 2.
P(a>2)=6/8=3/4=0.75
P(head, a>2)= P(head)*P(a>2)=0.5*0.75=0.375 ( rounding is not necessary, so we get exactle 3 digits after the point)
evaluate the function to find three points f(0)=
Answer:
f(0) = 0
Step-by-step explanation:
f(x) = -sqrt(x)
Let x= 0
f(0) = -sqrt(0)
f(0) = 0
Value of the given function [tex]f(x) = -\sqrt{x}[/tex] for [tex]f(0) = 0.[/tex]
What is function?" A function is defined as the relation between the given variable represents set of all input value should have one output each."
According to the question,
Given function,
[tex]f(x) = -\sqrt{x}[/tex]
Substitute the different values for 'x' for the given function we get,
[tex]x=1 , f(1) = -\sqrt{1}[/tex]
[tex]=-1[/tex]
[tex]x=4 , f(4) = -\sqrt{4}[/tex]
[tex]=-2[/tex]
[tex]x=0, f(0) = -\sqrt{0}[/tex]
[tex]=0[/tex]
Therefore, given relation is a function.
Hence, value of the given function [tex]f(x) = -\sqrt{x}[/tex] for [tex]f(0) = 0.[/tex]
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72 students choose to attend one of three after school activities: football, tennis or running. There are 25 boys. 27 students choose football, of which 17 are girls. 18 students choose tennis. 24 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form.
Answer:
3/8
Step-by-step explanation:
There are 72 students. 27 students choose football, and 18 choose tennis, which means 27 choose running.
So the probability that a student chooses running is 27/72, which reduces to 3/8.
4 divided by 54.40
[tex]4 \div 54.40 = [/tex]
Bus drivers Andy, Benedict and Chris each return to Bus Terminal 1 every 50, 80, and 100 minutes respectively. If they leave the bus terminal at 0830 h, when will they next meet at the bus terminal ?
Answer:
1510 h, or 3:10 PM.
Step-by-step explanation:
The next time they meet at the bus terminal will be a multiple of 50, 80, and 100.
A common factor among the three numbers is 10. If we divide all three by 10, we will get 5, 8, and 10. 5 is a factor of 10, so as long as 5 is multiplied by an even number, 10 will be a multiple.
Since the number will have to be divisible by both 5 and 8, the smallest possible number would be 5 * 8 = 40. So, the next time they meet at the bus terminal will be 40 * 10 = 400 minutes after 8:30.
400 minutes in hours is 400 / 60 = 40 / 6 = 20 / 3 = 6 hours and 2/3.
2/3 of an hour in minutes is (2/3) * 60 = 2 * 20 = 40.
So, they will meet again in 6 hours and 40 minutes.
8:30 plus 6 hours and 40 minutes is 14:70. 70 minutes translates into an hour and 10 minutes. So, the time will be 15:10, or 3:10 PM.
Hope this helps!
Type the correct answer in each box. Use numerals instead of words. Jim is assessing the popularity of his high school football team's website for the first 5 weeks after the season ends. The average number of visits on the website for 5 weeks is given in the table below. Number of Weeks Avg. Number of Visits 0 48,000 1 24,000 2 12,000 3 6,000 4 3,000 5 1,500 The initial number of visits to the website was . The percent decrease from 4th week to 5th week was %. The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was
Answer:
48,00050%1500Step-by-step explanation:
The table is easier to read if formatted more like a table:
Number of Weeks Avg. Number of Visits
0 48,000
1 24,000
2 12,000
3 6,000
4 3,000
5 1,500
__
The initial number of visits to the website was 48,000. -- the value for week 0.
The percent decrease from 4th week to 5th week was 50%. ((new/old) -1)·100% = (1500/3000 -1)·100% = -50%
The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was 1,500. (the number in the 5th week)
A copy machine makes 153 copies in 4 minutes and 15 seconds how many copies does it make per minute
1 minute = 60 seconds
15 seconds /60 = 0.25 minutes.
Total time in minutes is 4.25
Divide total copies by total minutes:
153 / 4.25 = 36 copies per minute
Answer:
[tex]\boxed{\sf 36 \ copies \ per \ minute}[/tex]
Step-by-step explanation:
[tex]\sf 4 \ minutes \ 15 \ seconds = 4.25 \ minutes[/tex]
[tex]\sf The \ copy \ machine \ makes \ 153 \ copies \ in \ 4.25 \ minutes.[/tex]
[tex]\sf To \ find \ copies \ per \ minute, \ divide \ the \ number \ of[/tex]
[tex]\sf copies \ with \ the \ number \ of \ minutes.[/tex]
[tex]\displaystyle \frac{153}{4.25} =36[/tex]
[tex]\sf The \ copy \ machine \ makes \ 36 \ copies \ per \ minute.[/tex]
Name x1, x2, y1 and y2. Then, find the distance between the points.
Answer:
(5,6), (-2,8)
Step-by-step explanation:
I have a good math expertise. Don't question my skills as they are correct. woof woof waffling behavior. Thnak you hr welcne
100 POINTS!!! NEED HELP ASAP The question is the first picture and the second question is the answers to choose. Thank you!
Answer:
4, 3, 5, 8, 7, 6, 1, 2
Step-by-step explanation:
Let’s label the options with numbers.
Solve the percentages:
1) 442/(442+267) = 62.4%
2) 701/(701+187) = 78.9%
3) 267/(267+442)= 37.7%
4) 187/(187+701) = 21.1%
5) 442/(442+701) = 39.4%
6) 701/(442+701) = 61.3%
7) 267/(187+267) = 58.8%
8) 187/(187+267) = 41.2%
Arrange from least to greatest.
4, 3, 5, 8, 7, 6, 1, 2
Construct a 99% confidence interval of the population proportion at the given level of confidence. x=240, n=300 the lower bound is? the upper bound is?
Answer: lower bound = 0.7404; upper bound = 0.8596
Step-by-step explanation:
The proportion p for this population:
p = [tex]\frac{240}{300}[/tex]
p = 0.8
Confidence interval for proportion is calculated as:
p ± z-score.[tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
Z-score for a 99% confidence interval is: z = 2.58
Calculating:
0.8 ± 2.58.[tex]\sqrt{\frac{0.8(0.2)}{300} }[/tex]
0.8 ± 2.58.[tex]\sqrt{0.00053}[/tex]
0.8 ± 2.58(0.0231)
0.8 ± 0.0596
This means that the lower limit of this interval is 0.7404 and upper bound is 0.8596