Answer:
a(n) = -81(-4/3)^(n - 1)
Step-by-step explanation:
The first term is -81. From -81 we obtain the next term, 108, by multiplying -81 by -4/3. Note how (-4/3)(108) = -144 as anticipated.
Thus, the common ratio is -4/3.
The explicit function for this geometric series is
a(n) = -81(-4/3)^(n - 1)
Answer:
C
Step-by-step explanation:
simplify the expression
[tex] - 3(2q + - 6) + - 2q[/tex]
Answer:
-8q +18
Step-by-step explanation:
-3 ( 2q -6) -2q
Distribute
-6q+18-2q
Combine like terms
-8q +18
WILL MARK BRAINLIEST Give a real world example of an equation which the constant of proportionality is 15. What would the graph look like?
Answer:
Bob makes 15 dollars an hour mowing lawns.
The graph would be a straight line with a slope of 15.
Step-by-step explanation:
The Constant of Proportionality is y=kx, where k is the constant. A real world example would be:
Bob makes 15 dollars an hour mowing lawns. (y=15x)
The graph would be a straight line with a slope of 15.
What is the probability of rolling a 2 and then rolling a 5 on two consecutive rolls of a fair 6-sided die?
i kinda need quick answer pls tyy
Answer:
1/36
Step-by-step explanation:
1/6x1/6=1/36
The formula for any geometric sequence is an = a1 · rn - 1, where an represents the value of the nth term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 1, -2, 4, -8, ...? an = 1 · (-2)n - 1 an = -2 · 1n - 1 an = -8 · (-2)n - 1 an = 1 · 2n - 1
Answer:
[tex]\huge\boxed{a_n=1\cdot(-2)^{n-1}}[/tex]
Step-by-step explanation:
[tex]a_n=a_1r^{n-1}[/tex]
We have the geometric sequence: 1, -2, 4, -8, ...
Find the common ratio:
[tex]r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}[/tex]
[tex]a_1=1,\ a_2=-2[/tex]
substitute:
[tex]r=\dfrac{-2}{1}=-2[/tex]
Substitute
[tex]a_1=1;\ r=-1[/tex]
to
[tex]a_n=a_1r^{n-1}[/tex]
[tex]a_n=1\cdot(-2)^{n-1}[/tex]
Answer:
[tex]a_{n}=1 (-2)^{n-1}[/tex]
Step-by-step explanation:
Hi there!
Let's do it,
1)[tex]1,-2,4,-8[/tex]
First let's find the q, the common ratio by dividing the second term by the anterior one.
-2:1 =-2
4:-2=-2
So the common ratio is -2. Plugging in on the General formula:
[tex]a_{n}=a_{1}q^{n-1}[/tex]
[tex]a_{n}=1 (-2)^{n-1}[/tex]
A computer tallied the time to work for 200 days and found it reasonable to normal curve. The main Thomas 35 minutes, and the standard deviation with six minutes. For the 200 workday experiment, find the percent of tonic me to work more than 41 minutes.
Answer:
The probability that computers work more than 41 minutes is 0.15866 or 15.87%.
Step-by-step explanation:
We are given that a computer tallied the time to work for 200 days and found it reasonable to the normal curve. The mean is 35 minutes, and the standard deviation with six minutes.
Let X = the time taken by computer to work for 200 days.
So, X ~ Normal([tex]\mu=35, \sigma^{2} =6^{2}[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma }[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean time = 35 minutes
[tex]\sigma[/tex] = standard deviation = 6 minutes
Now, the probability that computers work more than 41 minutes is given by = P(X > 41 minutes)
P(X > 41 minutes) = P( [tex]\frac{X-\mu}{\sigma }[/tex] > [tex]\frac{41-35}{6 }[/tex] ) = P(Z > 1) = 1 - P(Z [tex]\leq[/tex] 1)
= 1 - 0.84134 = 0.15866
The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.84134.
Which expression is equivalent to *picture attached*
Answer:
The correct option is;
[tex]4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )[/tex]
Step-by-step explanation:
The given expression is presented as follows;
[tex]\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right )[/tex]
Which can be expanded into the following form;
[tex]\sum\limits _{n = 1}^{50} \left (4\cdot n^2 + 3 \cdot n\right ) = 4 \times \sum\limits _{n = 1}^{50} \left n^2 + 3 \times\sum\limits _{n = 1}^{50} n[/tex]
From which we have;
[tex]\sum\limits _{k = 1}^{n} \left k^2 = \dfrac{n \times (n+1) \times(2n+1)}{6}[/tex]
[tex]\sum\limits _{k = 1}^{n} \left k = \dfrac{n \times (n+1) }{2}[/tex]
Therefore, substituting the value of n = 50 we have;
[tex]\sum\limits _{n = 1}^{50} \left k^2 = \dfrac{50 \times (50+1) \times(2\cdot 50+1)}{6}[/tex]
[tex]\sum\limits _{k = 1}^{50} \left k = \dfrac{50 \times (50+1) }{2}[/tex]
Which gives;
[tex]4 \times \sum\limits _{n = 1}^{50} \left n^2 = 4 \times \dfrac{n \times (n+1) \times(2n+1)}{6} = 4 \times \dfrac{50 \times (50+1) \times(2 \times 50+1)}{6}[/tex]
[tex]3 \times\sum\limits _{n = 1}^{50} n = 3 \times \dfrac{n \times (n+1) }{2} = 3 \times \dfrac{50 \times (51) }{2}[/tex]
[tex]\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right ) = 4 \times \dfrac{50 \times (50+1) \times(2\times 50+1)}{6} +3 \times \dfrac{50 \times (51) }{2}[/tex]
Therefore, we have;
[tex]4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )[/tex].
There are 3 different roads from city A to city B and 2 different roads from city B to city C. In how many ways can someone go from city A to city C passing by city B and then return back to A? 36, 10, 5, 24
Answer:
36
Step-by-step explanation:
There are 3 * 2 = 6 ways to go from A to C and then 2 * 3 = 6 ways to go from C to A so the answer is 6 * 6 = 36.
HELP ME PLZ NEED ANSWER Which relation is a function? A coordinate grid containing a U shape with arrows on both ends that opens to the right. The bottom portion of the U passes through the origin. A coordinate grid with the graph of a circle centered at the origin and passing through the point begin ordered pair 2 comma 1 end ordered pair. A coordinate grid containing a U shaped graph with arrows on its ends. The U shape opens upwards and the bottom of the U shape is located at the origin. Coordinate grid with graph of a vertical line at x equals 3.
Answer:
A function is a relation in which each input has only one output.
Step-by-step explanation: In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.
A function is a coordinate grid containing a U-shape with arrows on both ends that open to the right, and in which the bottom portion of the U passes through the origin which is the correct answer would be an option (A).
What is a function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
A function is a coordinate grid with a U-shaped pattern, arrows on both ends that open to the right, and the origin at the bottom of the U.
Because there is only one output of the relation, y, for any input x (1, 2, 3, or 0), is a function of x. Because the input y = 3 contains multiple outputs, including x = 1 and x = 2, x is not a function of y.
Therefore, the function is a coordinate grid containing a U-shape with arrows on both ends that open to the right, and in which the bottom portion of the U passes through the origin.
Hence, the correct answer would be option (A).
Learn more about the functions here:
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Germany has a population
of 82,217,800. If there are
636,854 births, 827,155
deaths, 684,862
immigrants, and 680,766
emigrants, what is the
population change?
A. 186,205
B. 98,381
C. -186,205
D. -98,381
Answer:
C. -186,205
Step-by-step explanation:
636,854 - 827,155 + 684,862 - 680,766
=> 1,321,716 - 1,507,921
=> -186,205
The population change of the given data set will be as 82,031,595. so the correct option is C.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Germany has a population of 82,217,800. If there are 636,854 births, 827,155 deaths, 684,862 immigrants, and 680,766 emigrants.
WE need to find the population change.
Now, we have to add the births, deaths and subtact 680,766;
82,217,800 + 636,854 - 827,155 + 684,862 - 680,766
= 82,031,595
Therefore, the population change of the given data set will be as 82,031,595.
So the correct option is C.
Learn more about the unitary method;
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FIRST GETS BRAINLLEST If the rectangle below is enlarged by a scale factor of 1.2, what will be the area of the new rectangle? 62 square units 66 square units 72 square units 76 square units
Answer:
72 square units.
Step-by-step explanation: You have to multiply both sides by the scale factor. 5 times 1.2 is 6, and 10 times 1.2 is 12. Then, multiply 6 by 12 to get your area of 66 square units.
PLEASE I DID THE ANSWER!!!!!
Help me! PART B PART C
Answer:
A.) P^2 - 10p + 24 = 0
B.) 6 or 4 dollars
Step-by-step explanation:
Given that a company’s weekly revenue, in thousands, is modeled by the equation
R = -p2 + 14p,
where p is the price of the product it makes. The company is considering hiring an outside source to distribute its products, which will cost the company 4p + 24 thousand dollars per week.
If the company want to break even, the cost of hiring distributors will be equal to the revenue per week.
Therefore,
-P^2 + 14p = 4p + 24
Collect the like terms
-P^2 + 14p - 4p - 24 = 0
-P^2 + 10p - 24 = 0
Multiply all by minus sign
P^2 - 10p + 24 = 0
B.) To find P, factorize the equation above.
P^2 - 10p + 24 = 0
- 6 x - 4 = 24 and - 6 - 4 = 10
P^2 - 4p - 6p + 24 = 0
P( p - 4 ) - 6( p - 4 )
P - 6 = 0 or p - 4 = 0
P = 6 or 4
Substitute both back into the equation to test their authenticates
When p = 6
6^2 - 10(6) + 24 = 0
When p = 4
4^2 - 10(4) + 24 = 0
If you're good at trigonometry please help meeee
On a 30-60 set square, the side opposite the 60 degree angle is 80mm long. Find the length of the longest side to the nearest millimetre
Answer:
[tex]\boxed{92 \: \mathrm{mm}}[/tex]
Step-by-step explanation:
sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
sin (60) = [tex]\frac{80}{x}[/tex]
x = [tex]\frac{80}{\mathrm{sin} (60)}[/tex]
x = 92.37604307...
x ≈ 92
Using the base dimension and either given angle you can solve for x
Sin(angle) = opposite leg/ hypotenuse
Sin(60) = 80/x
X = 80/sin(60)
X = 80/ sqrt(3)/2
X = 160/3 x sqrt(3). (This is exact answer)
For a decimal answer: 160/3 = 53 1/3
Multiplied by sqrt(3) = 92.376 mm
Rounded to nearest mm = 92
Which algebraic expression is a polynomial with a degree of 2? 4x3 − 2x 10x2 − StartRoot x EndRoot 8x3+ StartFraction 5 Over x EndFraction + 3 6x2 − 6x + 5
Answer:
[tex]6x^2 - 6x + 5[/tex]
Step-by-step explanation:
Given
List of Options
Required
Which of the options has a degree of 2
The general format of a polynomial is
[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]
Where n represents the degree
In this case;
n = 2
Substitute 2 for n in expression above;
[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]
[tex]ax^2 + bx^{2-1} + ..... + cx^{2-2}[/tex]
[tex]ax^2 + bx^{1} + ..... + cx^{0}[/tex]
[tex]ax^2 + bx + c *1[/tex]
[tex]ax^2 + bx + c[/tex]
Comparing this format to the list of given options; the option with the same format is: [tex]6x^2 - 6x + 5[/tex]
Where [tex]a = 6[/tex]; [tex]b = -6[/tex] and [tex]c = 5[/tex]
Hence, the polynomial with a degree of 2 is [tex]6x^2 - 6x + 5[/tex]
Answer:
6x^2-6x+5
Step-by-step explanation:
what is the solution to this equation 10x-15x+5=-45+20
Answer:
6Step-by-step explanation:
[tex]10x - 15x + 5 = - 45 + 20[/tex]
Collect like terms
[tex] - 5x + 5 = - 45 + 20[/tex]
Calculate the sum
[tex] - 5x + 5 = - 25[/tex]
Move constant to RHS and change its sign
[tex] - 5x = - 25 - 5[/tex]
Calculate
[tex] - 5x = - 30[/tex]
Divide both sides of the equation by -5
[tex] \frac{ - 5x}{ - 5} = \frac{ - 30}{ - 5} [/tex]
Calculate
[tex]x = 6[/tex]
Hope this helps...
Best regards!!
Answer:
x = 6
Step-by-step explanation:
10x - 15x + 5 = -45 + 20
→ Simplify the 10x - 15x
-5x + 5 = -45 + 20
→ Simplify the -45 + 20
-5x + 5 = -25
→ Minus 5 both sides from to isolate -5x
-5x = -30
→ Divide by -5 from both sides from to isolate x
x = 6
Practice: Assignment, Help is appreciated! I will mark brainliest for correct answers! :)
Answer:
19:36.83 or 37 20:4.5
Step-by-step explanation:
Answer:
For #19, it would probably be around 37
For #20, it would be 4.5.
Step-by-step explanation:
For #19, the mean is 36.83333.... so a reasonable prediction would be about 37 ˚C.
For #20, the list would be in this order:
3.2, 3.9, 4.5, 4.6, 5.5, 6.5, 8.7, 9.1
So, the 3rd value is 4.5.
help me i want to get this correct
Answer:
1/8
Step-by-step explanation:
Well there is a .5 chance you get each side so in order for them all to land on the same side you do .5^3 which is .125 or 1/8
Kareem has scored 21 ,17 , and 25 points in his three basketball games so far. How many points does he need to score in his next game so that his average (mean) is 21 points per game?
Answer:
21
Step-by-step explanation:
his mean is already 21
but if he has to score then 21
help pls!!!! Peter is at a lumber yard. He gets 2 free boxes of nails for every 10 boards he buys. Write an expression for the number of boxes of nails Peter will get if he buys n boards. If each box has 100 nails, explain how to write an expression to find how many nails Peter will have if he purchases 90 boards.
Answer:
x=1/5n
a=1/5(90)*100
The algebraic expression n/10, where n is the number of boards, represents the number of times he gets 2 free boxes of nails. So 2(n/10), or n/5, is the number of boxes, and 100(n/5), or 20n, is the number of nails. Substituting 90 in for n, Peter will get 1,800 nails.
Please hurry!
Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle?
Answer: the first one I’m pretty sure! Due to the hypotenuse being the longest length (13) and you would use the Pythagorean theorem
Step-by-step explanation:
John is throwing a dart at a dar board. It has 5 rings surrounding the bull’s-eye. The bull’s-eye is 6 cm. The first rim surrounding the bull’s-eye is 2 cm more than the bull’s-eye region and every other ring is 3 cm more than the preceding ring. What is the probability of John hitting a bull’s-eye if he cannot miss the dart board and is randomly aiming at?
A. 3/10
B. 6/13
C. 9/100
D. 36/169
Answer:
3/10
Step-by-step explanation:
please help me with vivid explanation
Answer:
864 m²
Step-by-step explanation:
First calculate the total area of the rectangular field
The area of a rectangle is given by the product of the length and the width
let A be the total area
A = 100*120
A = 12000 m²
Calculate the area of the small rectangles
Let A' be the total area of the four small rectangles and A" the area of one small rectangle A' = 4 A" A' = 4 [([tex]\frac{120-4}{2}[/tex])*([tex]\frac{100-4}{2}[/tex])] A' = 4*58*48A' = 11136 m² Substract the A' from A to get the area of the roadLet A"' be the area of the road
A"' =A-A'
A"' = 12000-11136
A"' = 864 m²
1. How many tiles whose length and breadth are 13 cm and 7 cm respectively are needed to cover a rectangular region whose length and breadth are 520 cm and 140 cm? 2. The length of a rectangular wooden board is thrice its width. If the width of the board is 120 cm, find the cost of framing it at the rate of $5 for 20 cm. 3. From a circular sheet of a radius 5 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet is given that π = 22 /7.
Answer:
1. 600 tiles
2. $120
3. 50.3cm2
Step-by-step explanation:
1. 520 x 140/ 13 x 7
600 tiles
2. Since length is 3 x width, length is 360.
20=5
360= 360/20= 18= 18 x 5= 90
20=5
120= 120/20= 6= 6 x 5= 30
90 + 30= 120= $120
3. 22/7 x 5 x 5= 78.5
22/7 x 3 x 3= 28.2
78.5-28.2= 50.3= 50.3cm2
Identify the first 4 terms in the geometric sequence given by the explicit formula ƒ(n) = 4 × 2(n – 1). Question 3 options: A) 4, 8, 16, 32 B) 2, 6, 10, 14 C) 4, 6, 8, 10 D) 2, 8, 32, 128
Answer:
A
Step-by-step explanation:
Hello, please consider the following.
[tex]f(1)=4*2^0=4\\\\f(2)=4*2^1=8\\\\f(3)=4*2^2=16\\\\f(4)=4*2^3=32[/tex]
So the correct answer is the first one A.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
What solid figure has five faces and five vertices? rectangular prism cone triangular prism square pyramid
Answer:
Square pyramid
Step-by-step explanation:
The flat square on the bottom is 1 face and there are 4 triangle faces.
The flat square on the bottom has 4 vertices and there is the pointy 1 at the top that holds the 4 triangles.
Hope dis helps,
Have a great day.
Answer:
Square Pyramid
Step-by-step explanation:
Only a square Pyramid has 5 faces and 5 vertices. The right one!
A rectangular prism has 6 faces and 8 vertices. Wrong
A cone has 1 face and 0 vertices. Wrong
A triangular prism has 5 faces and 6 vertices. Wrong
Write this number in standard form. 300+80+0.9+0.06+0.001
Hey there! I'm happy to help!
First, let's add the hundreds and the tens.
300+80=380
We see that there is nothing in the ones place, so we keep our ones place 0 and we move onto adding the tenths.
380+0.9=380.9
We add the hundredths.
380.9+0.06=380.96
And finally, we add the thousandths.
380.96+0.001=380.961
Therefore, this number in standard form is 380.961.
Have a wonderful day! :D
Answer:
380.961
Step-by-step explanation:
300+80=380
0.9+0.06+0.001=.961
380+.961=380.961
since there is nothing in the ones place, keep it 0.
Find -8 ÷ -1/2 a. -1/4 b. 16 c. -4 d. 1/16
Answer:
16
Step-by-step explanation:
you would use the reciprocal when changing it from division to multiplication. So, it would be -8x-2 which equals 16.
(20 POINTS!!!) Richie and his brother have a paper route. Together they can deliver all of the papers in 40 minutes, and Richie can do it alone in 90 minutes. Richie’s brother slept in one day, leaving Richie to deliver alone for 30 minutes. How long must the two of them work together to finish delivering the newspapers?
Simplify equation: 14 - 7y + 5 = 1 + 3y + 24
simplify again: 19 - 7y = 25 + 3y
add -25 and 7y to both sides: -6 = 10y
y = -6/10 or -0.6
2. After 30 minutes, richie has delivered 1/3 of the papers, so they have to deliver the remaining 2/3. Since they can deliver them all in 40 minutes, would the answer be 2/3 of 40? I'm not sure about this.
Complete this item. Identify angle1 and angle2. Select all that apply off the following terms: acute, right, obtuse, adjacent, vertical, complementary, supplementary.
Answer:
Angles 1 and 2 are both obtuse and adjacent.
Step-by-step explanation:
We can go about this systematically.
Acute: They are not acute. Looking at the angles, we can assume that they are greater than 90°.
Right: Greater than 90°, not equal, so not right.
Obtuse: Greater than 90°, so it's obtuse.
Adjacent: The angles are next to each other, so they are adjacent.
Vertical: They share a vertex, but they are not opposite to each other.
Complementary: They do not form a right angle together.
Supplementary: They do not form a straight angle together.
---
I hope this helps, let me know if you have any questions.
Correct Answers:
right
vertical
supplementary
I finished the quiz, it's correct. They're both 90 degree [right] angles, they're across from each other and therefore they're vertical, and they both add up to 180 degrees total, which means that they're supplementary.
Can you guys please help me with this? It’s for tomorrow
Please help me... I will mark brainliest if you do ;)
An explanation would be appreciated as well!
Answer:
86
Step-by-step explanation:
The sum of the angles in a quadrilateral is 360 degrees
since EF is parallel to HG
m < E + m< H =180
y + 10 + 2y -31 =180
-21+ 3y= 180
3y = 180 + 21
3y = 201
y=67
m <E = 67 + 10 =77
m < F = 2*67 -40= 134 -40=94
m < H = 2*67-31 = 134 -31 = 103
m < G = 360 - (m<E+ m < F + m < H)
= 360 - ( 77+94+103)
= 360- 274
=86