Answer:
Step-by-step explanation:
In an arithmetic sequence, the consecutive terms differ by a common difference, d. Therefore,
d = Term 2 - Term 1 = Term 3 - Term 2
In an geometric sequence, the consecutive terms differ by a common difference, r. Therefore,
r = Term 2 /Term 1 = Term 3 / Term 2
1) 128, 32, 8, 2, .. Is a geometric sequence
r = 32/128 = 1/4
2) 1, 3, 9, 27, .. Is a geometric sequence
r = 3/1 = 3
3) 5, 10, 15, 20, ...is an arithmetic sequence
d = 10 - 5 = 5
4) 20, 17, 14, 11, … is an arithmetic sequence
d = 17 - 20 = - 3
ABCD is a square. BD = 21.21 in. Find the perimeter to the nearest whole number.
Answer:
60 in
Step-by-step explanation:
BD² = s² + s²
21.21² = 2s²
s² = 224.93205
s = 14.997734829
Perimeter = 4s
= 59.990939316
Which statement best describes the domain and range of f(x) = -(7)¥ and g(x) = 7*?
A) f(x) and g(x) have the same domain and the same range.
B) f(x) and g(x) have the same domain but different ranges.
C) f(x) and g(x) have different domains but the same range.
D) f(x) and g(x) have different domains and different ranges.
The solution is, A) f(x) and g(x) have the same domain and the same range.
What is range & domain?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
here, we have,
First of all, A function f from a set A to a set B is a relation that assigns to each element in the set exactly one element in the set [/tex]B[/tex]. The set is the domain (or set of inputs) of the function and the set contains the range (or set of outputs).
First.
f(x) = -7x
The graph of this equation is shown in Figure 1. As you can see this is a straight line with negative slope and does not intersect the y-axis.
So the statement that best describes this problem is:
Both the domain and the range is the set of all real numbers.
Second
g(x) = 7x
The graph of this equation is shown in Figure 2.This is also a straight line but it has positive slope. This one does not intersect the y-axis either.
Both the domain and the range is the set of all real numbers.
Hence, The solution is, A) f(x) and g(x) have the same domain and the same range.
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find perimeter and area of figure
In a class of 666, there are 444 students who are secretly robots.
If the teacher chooses 222 students, what is the probability that neither of them are secretly robots?
Answer:
1/15
Step-by-step explanation:
2/6 for the first one the first the second is 1/5, so 2/6=1/3, so 1/3 x 1/5 = 1/15 your answer is 1/15
A photo of an ant in a science book is increased 515% as large as the actual size. If the ant is 16 millimeters, what is the size of the ant in the photo
Answer:
82.4 millimeters is the size of the ant in the photo
Step-by-step explanation:
In this question, we are asked to calculate the size of an ant in a science book given the actual size of the ant and the percentage increase is the size of the ant in the book.
From the question, we can identify that the actual size is 16 millimeters
Now let’s find 515% of this to know the size to which it would be magnified in the science book.
That would be;
515/100 * 16 = 82.4 millimeters
Hence, this means the ant will have a size of 82.4 millimeters in the science book
Answer:
The size of the ant in the photo is 88 mm
Step-by-step explanation:
Here, we have the percentage increase = 515 %
Size of ant = 16 millimeters in real life,
Therefore, the size of the ant in the in the photo, is given by,
[tex]\frac{16 \, mm}{100} = \frac{y\, mm}{550} = \frac{16 \times 550}{100} = \frac{y \times 100 \, mm}{100} \rightarrow 88 \, mm = y[/tex]
y = 88 mm
The size of the ant in the photo = 88 mm.
An oblique prism is created using rohmbuses with the edge lengths of 25 units. The area of one rhombus is 600 square units. The perpendicular distance between the bases is 24 units.
What is the volume of the prism?
Given:
The length of each edge of rhombus = 25 unit
The area of one rhombus is 600 square units.
The perpendicular distance between the bases is 24 units.
To find the volume of the prism.
Formula
The volume of the prism
[tex]V = Bh[/tex]
where, B is area of one rhombus
h be the height.
Now,
Putting, B = 600 , h = 24 we get,
[tex]V = (600)(24)[/tex] cube unit
[tex]or, V = 14400[/tex] cube unit
Hence,
The volume of the prism 14400 cube unit.
Which of the following statements are true about the angles in the figure? Select all that apply.
∠X and ∠Z are vertical angles.
∠X and ∠Y are a linear pair.
∠W and ∠Z are supplementary.
∠Y and ∠Z are supplementary.
∠W and ∠X are adjacent.
Answer:2 , 3 , and 5 would be your answer
Step-by-step explanation:
Answer:
B,C,E
Step-by-step explanation:
so the guy above me is right
Round to the nearest hundredth 160(1+0.04)
Answer:
166.4
Step-by-step explanation:
160(1+0.04)
Using PEMDAS
Parentheses first
160 (1.04)
Multiply
166.4
This does not go to the hundredths place so we do not need to round
166.4
We can use the distributive property to solve: a(b + c) = ab + ac
160(1 + 0.04)
(160 * 1) + (160 * 0.04)
160 + 6.4
166.4
Best of Luck!
Jake makes 9 loaves of olive bread. He uses 30 grams of olives in each loaf. He started with 1 kilograms of olives. How many grams of olives does jake have left?
307 grams
730 grams
269 grams
961 grams
Jake has 730 grams left.
Step-by-step explanation:Lets start by converting the kilograms to grams. Kilos to Base is x1000
So he started with 1000 grams of olives.
How much olives did he use?
9*30=270
SO the answer is 1000-270=730
A silver bracelet has a mass of 52.45g and volume of 5cm³ find the density of silver bracelet
Answer:
10.49 g/cm³
Step-by-step explanation:
d = m/V = 52.45g/5cm³ = 10.49 g/cm³
Answer:
10.49g/cm3
Step-by-step explanation:
mass=52.45g
volume=5cm3
density=mass divided by volume
52.45 divide by 5=10.49
) In a recent survey, 83% of the community favored building a police substation in their neighborhood. You randomly select 18 citizens and ask each if he or she thinks the community needs a police substation. Decide whether you can use the normal distribution to approximate the binomial distribution. If so, find the mean and standard deviation. If not, explain why.
Answer:
No, you should not approximate using the normal distribution because your sample size is too small.
Step-by-step explanation:
You can use the normal distribution in the following cases:
Your sample size is larger than 25You know that the sample size comes from a normally distributed population.Based on the rule of thumb, I would collect at least 7 more answers before using the normal distribution.
Because the sample size is too tiny, one should not use the normal distribution for approximation.
Given that,
In a recent survey, 83% of the community favored building a police substation in their neighborhood. You randomly select 18 citizens and ask each if he or she thinks the community needs a police substation.
The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
The sample size should be greater than 25, and the sample size should originate from a regularly distributed population. As the sample size of the distribution is to small normal distribution cannot be used.
Thus, Because the sample size is too tiny, one should not use the normal distribution for approximation.
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a cereal box has a length of 8 inches, a width of 1.75 inches, and a height of 12.25 inches. What is the volume of the cereal box?
Answer:
171.5
Step-by-step explanation:
Answer:
The answer to your question is Volume = 171.5 in ³
Step-by-step explanation:
Data
length = 8 in
width = 1.75 in
height = 12.25 in
To find the volume of this box, look for the formula to get the volume of a rectangular prism, substitute the values and simplify.
Formula
Volume = length x width x height
Substitution
Volume = 8 x 1.75 x 12.25
Simplification
Volume = 171.5 in ³
Find the distance between (2, -75) and (10, 235).
Answer:
2
Step-by-step explanation:
Answer:
Use the distance formula to determine the distance between two points.
Exact Form:
2 √ 24041
Decimal Form:
310.10320862
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9-18
Use what you have learned about triangles and angles to write an equation that represents each situation. Then find each of the missing angles in the triangles below.
9-19.
Additional Challenge: Use what you know about triangles and angle relationships to find the missing angles in the triangles below.
Answers and Step-by-step explanations:
9-18.
a) All the angles of a triangle add up to 180, by definition. So, we can write the expression: 30 + 115 + x = 180.
Then, we can just solve for x by subtracting 30 and 115 from both sides:
x = 180 - 115 - 30 = 35 degrees
b) Again all three angles should add up to 180, so:
x + x + x = 180 ⇒ 3x = 180 ⇒ x = 180/3 = 60 degrees
9-19.
a) These angles add up to 180:
2x + x + 30 = 180 ⇒ 3x + 30 = 180 ⇒ 3x = 150 ⇒ x = 50
2x = 50 * 2 = 100
The missing angles are 100 degrees and 50 degrees.
b) Again, these add up to 180:
x + 10 + x + 90 = 180 ⇒ 2x + 100 = 180 ⇒ 2x = 80 ⇒ x = 40
x + 10 = 40 + 10 = 50
The missing angles are 50 degrees and 40 degrees.
Hope this helps!
Answer:
9-18
a)
x = 180 - (115 + 30) = 180 - 145 = 35°
b)
3x = 180 => x = 180 : 3 => x = 60°
9-19
a)
180 = x + 2x + 30
180 - 30 = 3x
3x = 150
x = 50°
b)
180 = x + 10 + x + 90
180 - 10 - 90 = 2x
2x = 80
x = 40°
Twin brothers, Mike and Mark, are both offered jobs at grocery stores. Mike is offered a job at Fresh Foods making $10 per hour. Mark is offered a job at Groovy Groceries making $8 per hour plus a one-time hiring bonus of $100. Each twin believes he has been offered the better job. It's your responsibility to determine which brother has been offered the better job.
Answer: Mike offer is the best.
Step-by-step explanation:
Assuming he work for 30hrs per week in a month he gets
30hrs x 10 = $300 x 4 = $1200
If Mark work 30hrs per week he gets
30hrs x $8 = $240 x 4 = $960 + Bonus $100 = $1,060
Therefore, Mike makes more money.
Solve each equation and check.show all work
Answer:
z= -2
it is what it isssssss
Adonis created a rectangular play area for his dog in his backyard. The length of the long side was 10ft and the length of the short side was 5ft. What is the total perimeter of the dog's play area?
Answer:
The perimeter of the dog's play area is 30 ft
Step-by-step explanation:
Rectangle:
The opposite sides are congruent.The opposite angles are congruent.The sum of all four angles of a rectangle is 360°.The sum of two adjacent angles of a rectangle is 180°.The diagonals bisect each other.The perimeter of a rectangle is = 2(Length+width)The area of a rectangle is = Length × widthGiven that,
The length of the long side of the dog's play area was = 10 ft.
So, Length of dog's play area is = 10 ft.
The length of the short side of the dog's play area was = 5 ft.
So, width of dog's play area is = 5 ft.
It is a rectangular plot.
So, the perimeter of the dog's play area is =2(Length+width)
=2(10+5) ft
=2(15) ft
=30 ft
Mrs. Maldonado has $3,000 she wants to invest for the next 4 years. Her credit union offers a 5.96% interest rate compounded yearly, while a new bank will pay a 7.27% annual simple interest on her investment. Assume Mrs. Maldonado makes no additional deposits or withdrawals over the 4-year period.
Step 2: Use the correct formula to calculate the interest earned for the offer at the bank.
What is the area of this shape?
Answer:
9.43
Step-by-step explanation:
find the area of the circle and take away 1/4 of the area (because the angle taken away is 90) then you have the answer.
Answer:
9.4275
Step-by-step explanation:
First you find the area of the circle without the cut portion which is
2 times 2 = 4. Then 4 times 3.14 = 12.57.
Now that we found the total area of the circle we need to subtract the removed portion. What you can see here is that the circle is cut by 25% so that means only 75% of it still remains. 75% of 12.57 is = 0.75 multiplied by 12.57 which is 9.4275
Tom goes on holiday to south africa. Tom wants to change £890 into south african rand. He wants to get as many 200 rand notes as possible. The exchange rate is £1= 18.57 rand. Work out the greatest number of 200 rand notes Tom can get for £890
Answer:
82
Step-by-step explanation:
Considering the exchange rate of £1= 18.57 rand and since he has £890 he gets equivalent of $890*18.57=16,527.3 rands
Since he wants to get as many 200 rand notes as possible then assuming he is only given 200 rand note as the highest note he gets
16, 400/2 =82 rands of 200 note
then the remaining 127.3 rands he gets in other notes and coins available
What is the area of the parallelogram 1.2 cm 7cm
Answer:
8.4 cm
Step-by-step explanation:
Hope this helps!
Answer:
8.4 cm²
Step-by-step explanation:
Area of a parallelogram= base × height
= 1.2× 7 cm² = 8.4cm²
Express your answer in the form (a + bi)
(21 + 2i) + (13 + 8i) =
Answer:
The answer to your question is (34 + 10i)
Step-by-step explanation:
Data
(21 + 2i) + (13 + 8i) =
To solve this operation, just sum up the whole numbers and get a result then, sum up the imaginary numbers and get another result. Finally, write the result.
-Whole numbers 21 + 13 = 34
-Imaginary numbers 2i + 8i = 10i
Result (34 + 10i)
Answer:
34 +10i
Step-by-step explanation:
( 21 + 2i) + (13 + 8i) =
Add the real numbers
21+13 = 34
Add the imaginary numbers
2i+8i = 10i
The complex number is the real plus the imaginary number
34 +10i
Billy's mother had five children. The first was named Lala, the second was named Lele, the third was named Lili, the fourth was named Lolo. What was the fifth child named?
Answer:
billy
Step-by-step explanation:
its billy's mother. he/she is one of the children
During a game, a basketball team scored 38 points worth of two-pointers, 33
points worth of three-pointers, and 8 points worth of free throws. How many
shots did the basketball team make during the game?
Answer:
185 Points
Step-by-step explanation:
38 x 2 = 76
33 x 3 = 99
8 x 1 = 8
78 + 99 + 8 = 185
Work Shown:
"38 points worth of two-pointers" means 38/2 = 19 two point shots were made.
"33 points worth of three-pointers" means 33/3 = 11 three point shots were made
"8 points worth of free throws" means 8/1 = 8 free throws were made
In total, 19+11+8 = 38 shots were made
Multiply the problem,
Answer:
The answer to your question is the letter B
Step-by-step explanation:
Data
| 5 0 | | 2 - 1 |
| 3 -5 | | 2 - 2|
Process
1.- This is the product of two matrices 2 x 2 so the result will be a 2 x 2 matrix.
- Multiply the first row of the first matrix by the first column of the second matrix.
-Multiply the first row of the first matrix by the second column of the second matrix.
- Multiply the second row of the first matrix by the first column of the second matrix.
-Multiply the second row of the first matrix by the second column of the second matrix.
| 5 0 | | 2 - 1 | | (5 x 2) + (0 x 2) (5 x -1) + (0 x -2) |
| 3 -5 | | 2 - 2| = | (3 x 2) + (-5 x 2) (3 x -1) + (-5 x -2)|
= | 10 + 0 -5 + 0 |
| 6 - 10 -3 + 10|
= | 10 - 5 |
| -4 7|
Two new puzzle apps have 2,000 downloads on their first days. Jigsaw Junction
is downloaded 10,000 times each day after that, while Impossible Puzzles
double in total number of downloads each day. How many days will it take for
Impossible Puzzles to have more downloads than Jigsaw Junction?
5 Days
O 6 Days
7 Days
8 Days
Answer: 6 days
Step-by-step explanation: 6 days= 62,000 for jigsaw junction and 64,000 for impossible puzzles
i hope this helps
Impossible Puzzles will have more downloads than Jigsaw Junction in 1 day.
Explanation:To find out how many days it will take for Impossible Puzzles to have more downloads than Jigsaw Junction, we need to set up an equation and solve for the number of days.
Let's assume that the number of downloads for Impossible Puzzles on the first day is x. Since it doubles in total number of downloads each day, the number of downloads on the second day would be 2x, on the third day would be 4x, and so on.
On the other hand, Jigsaw Junction is downloaded 10,000 times each day after the first day. So, for n number of days, the number of downloads for Jigsaw Junction would be [tex]10,000 * n.[/tex]
We want to find the number of days when the number of downloads for Impossible Puzzles is greater than the number of downloads for Jigsaw Junction. So, we can set up the equation [tex]4x > 10,000n.[/tex]
To find the value of x, we can substitute 2,000 (the number of downloads on the first day for Impossible Puzzles) into the equation: [tex]4(2000) > 10,000n.[/tex]
Putting all the information together, we can set up the equation [tex]8,000 > 10,000n.[/tex]
To solve for n, we can divide both sides of the equation by[tex]10,000: 8,000/10,000 > n[/tex]. This simplifies to 0.8 > n.
Since n represents the number of days, we round up to the nearest whole number. Therefore, it will take 1 day for Impossible Puzzles to have more downloads than Jigsaw Junction.
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A pool is comprised of a rectangle with 2 semicircles on the ends.
The local public pool is a rectangle with two semicircles.
The area of the rectangle is .
Using 3.14 for π and rounding to the nearest meter, the area of each half circle is m2.
The area of the surface of the pool is m2.
Answer:
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
Length = 100 m
Width = 52 m
Area of rectangle = 100 × 52 = 5200 m²
A semicircle is half of a circle
The formula for determining the area of a semicircle is
Area = 1/2 × πr²
Diameter = 52 m
Radius = diameter/2 = 52/2
Radius = 26 m
The area of each semicircle is
1/2 × 3.14 × 26² = 1061.32 m²
The area of the surface of the pool is
1061.32 + 1061.32 + 5200 = 7322.64 m²
Answer:
5200
1061
7322
hope this help
1. Last week, Mr. Key worked for 50 hours. This week, he work for 58 hours. 2p
Find the percent of change for Mr. Key's hours worked.
SA
be
Answer:
16% increase
Step-by-step explanation:
A percentage change can be calculated from ...
percentage change = ((new value)/(old value) -1) × 100%
= (58/50 -1) × 100% = (1.16 -1) × 100%
= 16%
Mr. Key's work hours increased 16% from last week to this.
The vertex form of h(x) = x2 – 14x + 6 is h(x) = (x -
)2-
Answer:
(X-7)2-43
Step-by-step explanation:
Answer:
7
43
Step-by-step explanation:
Jeremy caught 8 fish in a contest.
The mean weight of the fish was 4.3125 kg.
He forgot to make his own record of the weight of the last fish,
but the first 7 were: 4.3 kg, 5.3 kg, 6.8 kg, 2.6 kg, 3.2 kg, 4.4 kg and 4.8 kg.
What was the weight of the last fish?
kg [2]
Answer:
Step-by-step explanation:
4.3 kg + 5.3 kg + 6.8 kg + 2.6 kg + 3.2 kg + 4.4 kg + 4.8 kg
4.3+5.3+6.8+2.6+3.2+4.4+4.8
= 31.4 ÷ 7
= 4.4857142857
Approx. 4.5kg