Answer:Such sequences can be expressed in terms of the nth term of the sequence. In this case, the nth term = 2n. To find the 1st term, put n = 1 into the formula, to find the 4th term, replace the n's by 4's: 4th term = 2 × 4 = 8
The following function represents the value of a house, in dollars, after x years:
f(x) = 242,000(1.04)*
What does 242,000 represent? (5 points)
Answer:
242,000 is the present value of the house.
Step-by-step explanation:
Answer:
242,000 represents the value of the house
Step-by-step explanation:
this table gives a few (x,y) pairs of a line in the coordinate plane x y -12 14 -2 21 8 8 what is the x intercept of the line?
Answer:
(-2, 21) and (8, 8)
Step-by-step explanation:
Use the two coordinate pairs (-2, 21) and (8, 8). As we go horizontally from the first to the second, the run (change in x) is 10 and the rise (change in y) is -13. Thus, the slope of the line through (-2, 21) and (8, 8) is m = rise / run = -13/10.
The equation of this line follows y - k = m(x - h):
y - 8 = (-13/10)(x - 8)
Answer:
(-32,0)
Step-by-step explanation:
Find 83 1 3 % of 384 please help I really need it
Answer:
320
Step-by-step explanation:
0.83333333x384=319.9999999=320
Convert [tex]\frac{1}{280}[/tex] to decimal number. What’s the length of the non-repeating part? What’s the length of the repeating block?
Answer:
Well to convert it into a decimal we do 1 / 280 which is 0.00357142857.
Well the lengh of the non repeating is only 3 numbers .003.
And the lenght of the repeating block is 6 numbers 571428
Which point on the graph of g(x)=(1/5)^x? HELPP
Answer:
(-1,5) and [tex](3, \frac{1}{125})[/tex] are points on the graph
Step-by-step explanation:
Given
[tex]g(x) = \frac{1}{5}^x[/tex]
Required
Determine which point in on the graph
To get which of point A to D is on the graph, we have to plug in their values in the given expression using the format; (x,g(x))
A. (-1,5)
x = -1
Substitute -1 for x in [tex]g(x) = \frac{1}{5}^x[/tex]
[tex]g(x) = \frac{1}{5}^{-1}[/tex]
Convert to index form
[tex]g(x) = 1/(\frac{1}{5})[/tex]
Change / to *
[tex]g(x) = 1*(\frac{5}{1})[/tex]
[tex]g(x) = 5[/tex]
This satisfies (-1,5)
Hence, (-1,5) is on the graph
B. (1,0)
x = 1
Substitute 1 for x
[tex]g(x) = \frac{1}{5}^x[/tex]
[tex]g(x) = \frac{1}{5}^1[/tex]
[tex]g(x) = \frac{1}{5}[/tex]
(1,0) is not on the graph because g(x) is not equal to 0
C. [tex](3, \frac{1}{125})[/tex]
x = 3
Substitute 3 for x
[tex]g(x) = \frac{1}{5}^x[/tex]
[tex]g(x) = \frac{1}{5}^3[/tex]
Apply law of indices
[tex]g(x) = \frac{1}{5} * \frac{1}{5} * \frac{1}{5}[/tex]
[tex]g(x) = \frac{1}{125}[/tex]
This satisfies [tex](3, \frac{1}{125})[/tex]
Hence, [tex](3, \frac{1}{125})[/tex] is on the graph
D. [tex](-2, \frac{1}{25})[/tex]
x = -2
Substitute -2 for x
[tex]g(x) = \frac{1}{5}^x[/tex]
[tex]g(x) = \frac{1}{5}^{-2}[/tex]
Convert to index form
[tex]g(x) = 1/(\frac{1}{5}^2)[/tex]
[tex]g(x) = 1/(\frac{1}{5}*\frac{1}{5})[/tex]
[tex]g(x) = 1/(\frac{1}{25})[/tex]
Change / to *
[tex]g(x) = 1*(\frac{25}{1})[/tex]
[tex]g(x) = 25[/tex]
This does not satisfy [tex](-2, \frac{1}{25})[/tex]
Hence, [tex](-2, \frac{1}{25})[/tex] is not on the graph
Which answer describes the type of sequence
A cdefghijklmnop
Step-by-step explanation:
Answer:
option a) multiply by 1/2
Step-by-step explanation:
2, 1 , 1/2 , 1/4 ....
Common ratio = 2nd term ÷ 1st term
= (1/2)÷ 1
= 1/2
Each term is obtained by multiplying by (1/2) with the previous term
PLEASE HELP A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.
================================================
Work Shown:
A = area of larger rectangle
A = length*width = 9*15 = 135 square feet
B = area of smaller rectangle
B = length*width = 7*4 = 28 square feet
C = area of shaded region
C = difference in areas of A and B
C = A - B = 135 - 28 = 107 square feet
please solve thank you!!!
For question 7, the output from left to right is:
20, 30, 40, 50, 60
For question 9, the output from left to right is:
6, 12, 18, 24
Explanation:
Using the rule (10=d-b) we can just add 10 to the input.
The same thing results with #9. We just need to add 4 to the input so that in the end u(output)-g(input)=4.
Hope this helps!! <3
Answer:
Step-by-step explanation:
7. Rule: 10=d-b
20-10=10
30-10=20
40-10=30
50-10=40
60-10=50
9. Rule: u-g=4
6-2=4
12-4=8
18-4=14
24-4=20
HOPE THIS HELPS!!!!!:)
In the circle below, QS is a diameter. Suppose m QR = 68° and m<QRT= 56°. Find the following.
Answer:
[tex]\boxed{\angle RQS = 56 \ degrees}[/tex]
[tex]\boxed{\angle SRT = 56 \ degrees}[/tex]
Step-by-step explanation:
A) ∠QRS = 90 degrees (The angle of the triangle opposite to the diameter is always 90)
Given that QR = 68 degrees
So,
∠RSQ = [tex]\frac{1}{2} (QR)[/tex]
∠RSQ = 68/2
∠RSQ = 34 degrees
Now, Finding ∠RQS
∠RQS = 180-90-34
∠RQS = 56 degrees
B) ∠SRT = ∠QRS - ∠QRT
=> ∠QRS = 90 (Mentioned above) , ∠QRT = 56 (Given)
So,
∠SRT = 90-56
∠SRT = 34 degrees
Which expression is equivalent to
?
4 square root 6/ 3 square root 2
Answer:
Hope the picture helps
Ted likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 959595 minutes. He wants to know how many kilometers (k)(k)left parenthesis, k, right parenthesis he will go if he runs at the same pace for 285285285 minutes. How far will Ted run in 285285285 minutes?
Answer:
The distance Ted will run in 285 minutes is 60 km
Step-by-step explanation:
The information in the question states as follows;
The distance Ted can run in 95 minutes = 20 km
Therefore, from the equation of speed, we have;
Speed = Distance covered ÷ Time taken
Ted speed, s = 20 km/(95 minutes) = 4/19 = 0.21 km/minute
Therefore, the distance, d Ted will cover in 285 minutes is given as follows;
d = Speed × Time = 0.21 km/minute × 285 minutes = 60 kilometres
The distance Ted will run in 285 minutes = 60 kilometres.
Answer:
285km=60
Step-by-step explanation:
Which of the binomials below is a factor of this expression?
25x2-4y2 z2
Answer: 5x - 2yz
Step-by-step explanation:
The uber fare in Detroit is $3.20 for the first 1⁄2 and each additional 0.1 mile costs $0.20. You plan to give the driver a $4.00 tip. How many miles can you ride for $12.00?
Answer: The correct answer is 3.6 miles
Step-by-step explanation:
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
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.
is the square root of 29 rational or irrational?
Answer:
irrational
Step-by-step explanation:
rational - a number that can turn into a fraction (you could do this with a perfect square)
Irrational - a number that cannot be expressed as a fraction
The square root of 29 is an irrational number because it can not be expressed as a fraction.
To determine whether the square root of 29 is rational or irrational, we need to check if it can be expressed as a fraction (ratio) of two integers.
Assuming that the square root of 29 is rational, we can represent it as √29 = a/b, where a and b are integers with no common factors other than 1, and b is not equal to 0.
Squaring both sides of the equation (√29)² = (a/b², we get 29 = (a²)/(b²).
This implies that 29 is equal to the ratio of two integers (a²)/(b²), which means that 29 can be expressed as a fraction. However, this is not true because 29 is a prime number and cannot be written as a fraction of two integers.
Therefore, the square root of 29 cannot be expressed as a fraction and is therefore irrational.
Hence, the square root of 29 is an irrational number.
To learn more about irrational numbers;
https://brainly.com/question/33006214
#SPJ6
Question 5 of 10
What is the approximate area of the shaded sector in the circle shown below?
A. 25 img
4.3 in
155
B. 5.82 in2
с
C. 11.63 in 2
D. 50 in2
SUBMIT
Answer:
25 in ^2
Step-by-step explanation:
First find the area of the circle
A = pi r^2
A = 3.14 ( 4.3)^2
A =58.0586
The take the fraction of the circle that is shaded
A circle is 360 degrees
155/360
155 /360 * the total area = area shaded
31/72 * 58.0586 = 24.99745278 in ^2
Rounding yields 25 in ^2
Answer:
25[tex]in^2[/tex]
Step-by-step explanation:
To find the area we need to use the expression [tex]\frac{x}{360}[/tex] · [tex]\pi r^2[/tex]
When you substitute and solve you should get 25[tex]in^2[/tex]
The perimeter of a triangle is 88 centimeters. If two sides are equally long and the third side is 10 centimeters longer than the others, find the lengths of the three sides. The length of each of the two equally long sides is ____(centimeters,square centimeters) and the length of the longer side is ____ (square centimeters,centimeters).
Answer:
P=2x +2y
2x=2y-p
As given that 2x=2(10)+88
x=108/2
x=54cm
May be it's help you;)
Answer:
The length of each of the two equally long sides is 26 cm
The length of the longer side is 36 cm
Step-by-step explanation:
Let the length of each of the two equal sides be represented by x
The other side = 10 + x
Perimeter of triangle (P) = sum of all sides of the triangle
88 = x + x + 10 + x
88 = 3x + 10
3x = 88 - 10
3x = 78
x = 78/3 = 26
Length of each of the two equally long sides (x) = 26 cm
Length of the longer side = 10 + x = 10 + 26 = 36 cm
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
An ancient Greek was born on April 1st, 35 B.C. and died on April 1st, 35 A.D. How many years did he live?
Answer:
70 years
Step-by-step explanation:
35 years before Christ and then another 35 years after: 35 + 35 = 70 years
From Dan's ranch one road is built to get to Andy's house and two roads are built to get to Willie's house (see previous problem). How many way are there now to get from Andy's house to Willie's house?
Answer: There are ways now to get from Andy's house to Willie's house.
Step-by-step explanation:
Given, from Dan's ranch one road is built to get to Andy's house and two roads are built to get to Willie's house.
Then, the number of ways to get from Andy's house to Willie's house =
(Number of ways to Andy's house) x (Number of ways to get Willie's house) [Using fundamental counting principle]
= 1 x 2 = 2
Hence, there are ways now to get from Andy's house to Willie's house.
Five test scores have a mean (average score) of 90, a median (middle score) of 91 and a mode (most frequent score) of 94. Find the sum of the two lowest test scores.
Answer:
171 points.
Step-by-step explanation:
If five test scores have a mean of 90, all the scores added together will be 5 * 90 = 450.
The middle score is 91, so the other four scores added together will be 450 - 91 = 359.
The mode is higher than the median, so we can assume that the highest two numbers are the same: 94. 94 * 2 = 188. 359 - 188 = 171.
That means that the sum of the two lowest test scores is 171 points.
Hope this helps!
Answer:
The sum of the two lowest test scores is 171.
Step-by-step explanation:
We see that there are 5 test scores, so the median ( middle score ) was not taken to be the average of the two middle scores. It is an element present in the set of five test scores. The mode of course has to be present in the set, but multiple times. If we can figure out how many times this mode is present in the set, it would help us.
As 91 is the middle value, there has to be two above 91. Therefore, as 94 appears the most frequent, is must appear twice.
Now another key thing we need here is the sum of all 5 numbers. Given a mean of 90, 90 [tex]*[/tex] 5 = the sum of all 5 numbers = 450. Therefore, the sum of the two lowest test scores should be = 450 - 94 - 94 - 91 = 171 - which is our solution.
Raymond normally has a snack consisting of ten 12-calorie crackers. How many 20-calorie cookies would he have to eat to consume the same number of calories?
Work Shown:
He eats ten 12-calorie crackers, so that is 10*12 = 120 calories total
If x is the number of 20-calorie cookies, then the total number of calories here is 20x. We want this to be 120, so,
20x = 120
x = 120/20 .... divide both sides by 20
x = 6
He must eat six 20-calorie cookies to get 120 calories total
Answer: 6 cookies
Step-by-step explanation:
First, multiply 10*12 to see how many calories he normally eats.
10*12 = 120
Then, divide by 20 to see how many cookies he can eat to keep the same number of calories.
120/20 = 6
Hope it helps <3
please answer need help :)
Answer:
112
Step-by-step explanation:
Answer:
112
Step-by-step explanation:
7² = 7 * 7 = 49
4² = 4 * 4 = 16
7² + 3(4² + 3 + 2) = 49 + 3(16 + 3 + 2)
= 49 + 3 * 21
= 49 + 63
= 112
If the perimeter of a square is 32 meters, then what is
the area of the square, in square meters?
Answer:
The awnser is 64
Step-by-step explanation:
It is 64 because you devide the perimiter (32) by 4, to get all sides, and then multiply 1 side by the other to get 64
THIS METHOD ONLY WORKS FOR A SQUARE
A bakery prepares boxes of desserts. Each box contains twice as many cookies as brownies. Which line on the graph depicts the number of cookies relative to the number of brownies?
Answer:
Last graph showing 10 cookies and 5 brownies.
Step-by-step explanation:
There are more cookies (y-axis) than brownies (x-axis), the slope is 2.0 so the line must be > 45 degrees.
Answer is the last graph which shows 10 cookies and 5 brownies.
Answer:
The graph that is closest to standing straight up.
Step-by-step explanation:
The bakery is preparing twice as many cookies than brownies, so for every brownie, the bakery bakes two cookies, which is represented in the graph.
so A =3x2+4x+1,B=5x2−3x+8,C=4x2−7x−3, find the value of B + C –A.
Answer:
6x² - 14x - 4Step-by-step explanation:
A =3x² + 4x + 1
B = 5x² - 3x + 8
C = 4x² - 7x - 3
B + C –A is
5x² - 3x + 8 + 4x² - 7x - 3 - ( 3x² + 4x + 1)
Expand and simplify
We have
5x² - 3x + 8 + 4x² - 7x - 3 - 3x² - 4x -1
Group like terms
5x² + 4x² - 3x² - 3x - 7x - 4x + 8 - 3 - 1
We have the final answer as
6x² - 14x - 4Hope this helps you
Find the area of the shape shown below.
Answer:
6[tex]cm^{2}[/tex] (assuming the units is in centimetres)
Step-by-step explanation:
Hi, hope this helps!
Method 1:
Calculate this shape as a trapezium. This is a trapezium because it has one pair of parallel sides. The way to calculate the area of a trapezium is this:
- Half the sum of the parallel sides
- Multiply the perpendicular height between them
In this case, 4 and 2 are parallel, so we add them together (4 + 2 = 6) then we divide by two (6 ÷ 2 = 3). Then we multiply our answer by the perpendicular length between the two parallel sides (assuming the side on the left is at a right-angle, 3 x 2 = 6).
Method 2:
Calculate this shape as a rectangle + a triangle. If you split the shape so the pointy bit on the right becomes a triangle and the left becomes a square, you can calculate the area without knowing the formula for calculating a trapezium (see above ^).
- Area of the square / rectangle = length x width = 2 x 2 = 4
- Area of the triangle = 1/2 x length x width = 2 x 2 x 1/2 = 4 x 1/2 = 4 ÷ 2 = 2
Then we add the two areas together (4 + 2 = 6).
I hope this helped and I wasn't waffling on :)
Bluey
Answer:6
Step-by-step explanation:
The surface area of a cube is represented by the expression below, where s is the side length of the cube. Find the surface area of a cube-shaped jewelry gift box with a side length of 10 centimeters. A. 600 square centimeters B. 900 square centimeters C. 300 square centimeters D. 2,000 square centimeters
Answer:
The correct answer is A. 600 square centimetres
Step-by-step explanation:
Let's recall that the formula of the surface area of a cube is:
A = 6s², where s is the side length of the cube.
Replacing with the value we know, we have:
A = 6 * 10²
A = 6 * 100
A = 600 square centimetres
The correct answer is A. 600 square centimetres
The displacement vector r=2i-j+3k is aligned to the same direction as the force (F) whose magnitude is F =20N Determine the comple description of the force F
Answer:
Step-by-step explanation:
Displacement vector R = 2i + j + 3k
Unit vector along displacement vector
= R / I R I
= ( 2i + j + 3k ) / √ ( 2² + 1² + 3² )
= ( 2i + j + 3k ) / √ 14
Now force F acts in the direction of this unit vector . It is magnitude of 20 N
So this vector can be represented by the following expression
F = 20 [ ( 2i + j + 3k ) / √ 14 ]
[tex]F= \frac{20}{\sqrt{14} } \times ( 2i+j+3k)[/tex]