Answer:
Step-
Honey it c !!!!………!l║.by-step explanation:
The explicit formula for the given "geometric-sequence" is aₙ = 4 × 2ⁿ⁻¹, and the eight term is 512, Option(c) is correct.
To find the explicit formula for a geometric-sequence, we need to find the common ratio between any two consecutive terms.
In this sequence, we can see that each term is obtained by multiplying the previous term by 2. So, the "common-ratio" is 2.
We also know the "first-term" is 4, so we use the formula for the nth term of a geometric sequence which is : aₙ = a₁ × rⁿ⁻¹,
Substituting the values,
We get,
⇒ a₈ = 4 × 2⁽⁸⁻¹⁾
⇒ a₈ = 4 × 2⁷
⇒ a₈ = 512,
Therefore, the correct answer is (c) aₙ = 4 × 2ⁿ⁻¹; 512.
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The given question is incomplete, the complete question is
Find the explicit formula for the geometric sequence. Then find a₈.
4, 8, 16, 32, 64,....
Which Answer is Correct:
(a) aₙ = 4 × rₙ - 1; 1024
(b) aₙ = a₁ × 2ⁿ⁻¹; 256
(c) aₙ = 4 × 2ⁿ⁻¹; 512
(d) aₙ = 2 × 4ⁿ⁻¹; 512
Two lines are intersecting. What is the value of x?
Answer:
51
Step-by-step explanation:
by linear pair
(2x+4)+(x+23)=180
2x+4+x+23=180
3×+27=180
3x=180-27
x=153/3
×=51
Answer:
Step-by-step explanation:
2x + 4 + x + 23 = 180 {linear pair of angles}
3x + 27 = 180
3x = 180 - 27
3x = 153
x = 153/3
x = 51°
Find measure of angle PRS pleaseee urgent!!
Answer:
142 degrees
Explanation:
First, you are going to estimate. You can quickly see that the angle is more than 90 degrees. The only option more than 90 degrees os 142 degrees.
Answer:
142
Step-by-step explanation:
Then plug it in
Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan costs $50 per month and $0.02 per minute. How will the graphs of the monthy costs of the two cell phone plans compare where x represents minutes purchased in a month? The prepaid phone plan will have a steeper line and lower y-intercept. The contracted phone plan will have the same steepness and a higher y-intercept. The prepaid phone plan will have a less steep line and the same y-intercept. The contracted phone plan will have a steeper line and same y-intercept.
Answer: A; The prepaid phone plan will have a steeper line and lower y-intercept.
"The prepaid phone plan, whose cost is $0.20 per minute, will means the usage increases as time increases means that this will have a steeper line and lower y-intercept since it has no monthly fee, Contracted phone plan, whose fee is still $0.02 would have a less steep line and a higher y-intercept because the plan requires monthly fee of $50."
Hope this helps
-Carrie
Please mark brainliest :)
A. The prepaid phone plan will have a steeper line and lower y-intercept.
What are given here ?Grace is comparing plans of cell phone.
A prepaid phone plan costs $0.20 per minute and has no monthly fee.
A contracted phone plan costs $50 per month and $0.20 per minute
What will be the type of graph ?Time increases as usage of the prepaid phone increases, which cost $0.20 per minute. So, the line will be steeper. There is no monthly plan in prepaid phone, so lower y-intercept seen in the graph.
The cost of contracted phone is $0.20 per minute, so the line is less steeper. Again, contracted phone has monthly plan of $50 per month, so the y intercept will be higher.
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4x + 7y= 60
- 4x + 7y= -4
O A. (1,0)
O B. (4,7)
O C. (8,4)
OD. (2,4)
Answer:
C. (8, 4)
Step-by-step explanation:
I graphed it
Answer:
(8,4)
Step-by-step explanation:
4x + 7y= 60
- 4x + 7y= -4
Add the two equations together to eliminate x
4x + 7y= 60
- 4x + 7y= -4
-----------------------
14y = 56
Divide each side by 14
14y/14 = 56/14
y = 4
Now find x
4x +7y = 60
4x +7(4) = 60
4x+28 = 60
Subtract 28 from each side
4x = 60-28
4x= 32
Divide by 4
4x/4 = 32/4
x =8
What are the coordinates of the x-intercept of the equation 2x - 3y = 8?
A:(-8/3,0)
B:(0,-8/3)
C:(4,0)
D:(0,4)
E:(-4,0)
Answer:
C
Step-by-step explanation:
x-intercept occurs when y=0.
2x -3y= 8
When y=0,
2x -3(0)= 8
2x= 8
x= 8 ÷2
x= 4
Thus the coordinates is (4,0).
IS THIS A FUNCTION OR NOT HELP PLEASEEEEEE! The table compares the amount of homework Khaled gave to his class, and the number of students who completed them, for several different occasions. Can the number of students who completed their homework be represented as a function of the homework's size? Homework (# of questions) Complete (# of students) 5 55 30 3030 8 88 24 2424 6 66 26 2626 10 1010 20 2020 4 44 32 3232 7 77 25 2525 6 66 26 2626 8 88 24 2424 Choose 1 answer:
Answer: The answer is Yes.
Step-by-step explanation:
Can not represent as a function. since some output have more than one input
What is sample space?The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually
No, because various numbers of students complete different sizes of homework, the number of students who finish their homework cannot be expressed as a function of the size of the assignment.
Khaled, for instance, was assigned a size 8 assignment twice, and on each occasion, a different amount of pupils finished it (24 and 21). There should only be one output for each input in a function, yet in this situation, some inputs have more than one output.
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Complete question:
The table compares the amount of homework Khaled gave to his class, and the number of students who completed them, on several different occasions. Can the number of students who completed their homework be represented as a function of the homework's size?
Homework Complete
5 30
8 24
6 26
10 20
4 32
7 25
6 26
8 24
The picture is up there (thank you!)
Answer:
$7.52
Step-by-step explanation:
It adds 0.34 dollars every month...
Hope this helps (:
Kevin is buying a cover for his circular swimming pool. If the diameter is 20 feet, how much
material will it take to cover the pool? Use 3.14 for pi.
31.4 ft2
62.8 ft2
98.6 ft2
314 ft?
Answer:
314 ft²
Step-by-step explanation:
3.14(10)²
(3.14)(100)
314
Use the following information for #19
Connor makes $120 for every 10 hours he works.
#19 If Connor earns $300, how many hours has he worked?
Answer:
25 hours
Step-by-step explanation:
$120 for every 10 hours
$12 for every hour
$300/12= 25 hours
the pyramid below has a rectangular base and E is directly above A. The volume of the pyramid is 600cm^3. Work out the height of the pyramid, AE
Answer:The volume of the pyramid = (1/3)*area of base *height
= (1/3)*10*24*13 = 1040 cubic units.
The total surface area = area of rectangular base + area of 2 isosceles triangles with a base of 24 units + area of 2 isosceles triangles with a base of 10 units.
Area of rectangular base = 24*10 = 240 sq units.
What is the result when the number 83 is increased by 7%? Round your answer to the nearest tenth.
Answer:
90
Step-by-step explanation:
multiply 83 by .07 equals 5
then add 83 + 5= 88 rounded to nearest tenth = 90
I will give brainliest answer
Step-by-step explanation:
inner region
A=πr^2
A=π*6^2
A=π*36cm^2
A=113.09cm^2
shaded region(outer)
A=πr^2
A=π*9^2
A=π*81cm^2
A=254.46cm^2
Area of shaded region=254.46cm^2-113.09cm^2
=141.37cm^2
Mark brianliest if my answer suit your question
Radius of the outer circle = 9cm
Area of a circle = πr²
= π×9×9
= 254.34cm²
Radius of the inner circle = 6cm
Area of a circle = πr²
= π×6×6
=113.04cm²
Therefore, area of the shaded region = 254.34-113.04
=141.30cm²
Please find the length of the missing side
Answer:
it is 768 in
Step-by-step explanation:
you multiply 32 by 24
Answer:
C. would be the answer.
Step-by-step explanation:
Hope this helps.
If two events. A and B, are independent then which of the following is always true about their probabilities?
1) P(A)=P(B)
2) P(A and B)=P(A) P(B)
3) P(A OR B)=P(A) P(B) - P(A and B)
4) P(A and B) = P(A) +P(B)
Answer:
P(A and B)= p(A) * P(B)
Step-by-step explanation:
The Formula for the probability of A and B (independent events) is
p(A and B) = p(A) * p(B).
20. Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. She can spend no more than
$42 on art supplies.
a. Write an inequality that shows how many bottles of paint, x, and boxes of colored pencils, y, Carmen can buy.
b. Name three different solutions to the inequality.
Answer:
(5, 8), (7, 1), (15, 3)
Step-by-step explanation:
a) The variables are defined in the problem statement. The total expenditure must satisfy ...
2.00x +3.50y ≤ 42.00
b) Possible solutions include ...
(x, y) ∈ {(5, 8), (7, 1), (15, 3)}
__
These were chosen by looking at the attached graph of the equation.
What is the value of n?
Answer:
85°
To get this,know that the total angle of triangle is 180°[(n-2)180] n=number of sides.Total angle on a straight line is 180°.
There are 3 angle you need to calculate.
Upper angle:180-133=47°
Right angle:180-142=38°
Left angle:180°-47°-38°=95°
n+95°=180°
n=180°-95°=85°
Please help me with my Algebra What is the solution to the system of equations? 3x−y−z=82x+y−z=3x−y+z=6 (−3,−4,−13) (2,−1.5,−0.5) (3,3,−2) (3,−1,2)
Answer:
HI
Step-by-step explanation:
Consider the function and its inverse. and When comparing the functions using the equations, which conclusion can be made? The domain of f(x) is restricted to x ≥ 0, and the domain of f–1(x) is restricted to x ≥ 0. The domain of f(x) is restricted to x ≥ 0, and the domain of f–1(x) is restricted to x ≤ 0. The domain of f(x) is restricted to x ≤ 0, and the domain of f–1(x) is restricted to x ≥ 4. The domain of f(x) is restricted to x ≤ 0, and the domain of f–1(x) is restricted to x ≤ 4.
Answer:
It’s actually C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
In ΔEFG, the measure of ∠G=90°, FG = 5.1 feet, and GE = 7.7 feet. Find the measure of ∠F to the nearest tenth of a degree.
Answer:
∠F=56.5⁰
Step-by-step explanation:
It forms a right angled triangle.
The base of the triangle is given as 7.7 feet
The perpendicular of the triangle is given as 5.1 feet.
Find ∠E where
tan∠E=perpendicular/base
tan∠E=7.7/5.1
∠E=33.518
Find ∠F by substracting ∠G and ∠E from 180,
∠F=180-90-33.518
∠F=56.482
Round off to nearest tenth
∠F=56.5
Which of the following is a correct interpretation of the expression -4 + 13−4+13minus, 4, plus, 13?
Answer:
Step-by-step explanation:
-4 + 13 - 4 + 13 - 4 + 13
9 - 4 + 13 - 4 + 13
5 + 13 - 4 + 13
18 - 4 + 13
14 + 13
27
What is the slope of the line represented by the equation y-6 = 5(x - 2)?
Answer & Step-by-step explanation:
The equation for slope-intercept form is y=mx+b
In order to solve this problem, we can just solve the equation to find y.
y - 6 = 5(x - 2)
Distribute 5 to (x - 2)
y - 6 = 5x - 10
Add 6 to both sides of the equation.
y = 5x - 4
So, the slope of the line is 5.
The required slope of the line m = 5
What is the slope of the line represented by the equation y-6 = 5(x - 2)
What is line?
line, is curve showing the shortest distance between 2 points.
Given line y-6 = 5(x - 2)
standard equation of line = [tex]y-y_1=m(x-x_1)[/tex]
compare the standard equation of line with standard equation
m=5
Thus, The required slope of the line m = 5
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The value of x for which the expressions 3x – 4 and 2x + 1 become
equal is
-3
0
5
1
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
To determine for which value of x a pair of expressions will be equal, we will need to set them equal to each other and then solve for x.
[tex]3x-4=2x+1[/tex]
First, we can add 4 to each side
[tex]3x=2x+5[/tex]
Now we can subtract 2x from each side
[tex]x=5[/tex]
Now, just to check our answer, we can plug in our answer back into the original equation to see whether we get the same result for each side
[tex]3(5)-4=2(5)+1\\\\15-4=10+1\\\\11=11[/tex]
Answer:
5
Step-by-step explanation:
1) make them equal to each other
2) put all the constants on one side and all the ones with x on the other
3) solve
Does (3, –8) make the equation y = –x + –5 true?
Answer:
Yes.
Step-by-step explanation:
Substitute in the equation for x and y:
-8 = -3 + -5 = -8.
Use the coordinates of the labeled point to find the point-slope equation of the line
Answer:
A. y + 1 = -2(x-2)
Step-by-step explanation:
point-slope equation is : y - y1 = m (x -x1)
remember m= slope value
the given point is (2, -1) therefore we can substitute the values in:
y + 1 = m(x -2)
now to make sure our answer is complete we will solve for the slope:
looking back at the graph, the y-intercept value is 3, therefore we have a point of (0,3) and (2, -1)
with any two points you can determine a slope.
y2 - y1 / x2 - x1
therefore :
-1 -3 / 2 - 0
-4 / 2 = -2
therefore our m value is -2
this makes the completed point-slope equation:
y + 1 = -2 (x - 2) or A
A shelf has four blue shirts, two green shirts, two gray shirts, one white shirt and one red shirt. You randomly choose one shirt from the shelves. Find the probability of choosing a red shirt. Give your answer as a percent (ex. 32%)
Answer:
20 %
Step-by-step explanation:
four blue shirts, two green shirts, two gray shirts, one white shirt and one red shirt = 10 shirts
P(red) = number of red shirts / total
= 2/10
= 1/5
=20 %
Answer:
10%
Step-by-step explanation:
4 blue
2 green
2 gray
1 white
1 red
4 + 2 + 2 + 1 + 1 = 10
each t-shirt = 10 percent
so 1 red t-shirt = 10%
3(x-1) - 8 = 4(1+x) +5. Too hard, i keep getting confused
3(x-1)-8=4(1+x)+5
One solution was found :
x = -20
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(x-1)-8-(4*(1+x)+5)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((3•(x-1))-8)-(4•(x+1)+5) = 0
Step 2 :
Equation at the end of step 2 :
(3 • (x - 1) - 8) - (4x + 9) = 0
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
-x - 20 = -1 • (x + 20)
Equation at the end of step 4 :
-x - 20 = 0
Step 5 :
Solving a Single Variable Equation :
5.1 Solve : -x-20 = 0
Add 20 to both sides of the equation :
-x = 20
Multiply both sides of the equation by (-1) : x = -20
One solution was found :
x = -20
hope this is wht u wanted
What is the length of BC?
Answer:
BC = 24
Step-by-step explanation:
Since angle B is equal to angle C
AC = AB
3x-15 = x+33
Subtract x from each side
3x-15 -x=x+33-x
2x-15 = 33
Add 15 to each side
2x-15+15 = 33+15
2x = 48
Divide by 2
2x/2 = 48/2
x = 24
We want BC = x
BC = 24
Find the value of x in the following quadrilateral.
Answer:
see below
Step-by-step explanation:
Because the sum of all angles in a quadrilateral is 360° we have:
90 + 101 + 12x + 3 + 9x - 2 = 360
21x + 192 = 360
21x = 168
x = 8°
Answer:
The value of x is 8.
Step-by-step explanation:
Given that total angles in a quadrilateral is 360°. So in order to find x, you have to add up all the angles together to make it equals to 360° :
[tex]101 + 12x + 3 + 9x - 2 + 90 = 180[/tex]
[tex]192 + 21x = 360[/tex]
[tex]21x = 360 - 192[/tex]
[tex]21x = 168[/tex]
[tex]x = 168 \div 21[/tex]
[tex]x = 8[/tex]
Which interval contains a local minimum for the graphed
function?
O [-4,-2.5)
O 1-2, -1]
O [1, 2]
O [2.5, 4]
Someone help ASAP! Weill give brainliest. (Not a quiz or test or anything)
Answer:
17.8
Step-by-step explanation:
First:
put the equation together
(2x+3) * (x+2)=91
Secondly:
condense
parenthisis can be dropped and normal problem solving can be used.
5x+2=91
subtract 2 from either side of the =
this will give you 5x=89
next divide 5 from each side because it is multiplying the x
x=17.8