Answer:
1.64×10⁷ km
Step-by-step explanation:
We know this is a triangle rectangle, so we apply the Pythagorean Theorem
QR=sqrt(PR²+PQ²)
Solving it, we will encounter in
sqrt(2.56×10¹⁴+1.296×10¹³)
to solve it, we need to bring the two numbers at the same power of ten, so we move 1.296 of one place to the left:
sqrt(2.56×10¹⁴+0.1296×10¹⁴)
we can now add the two numbers:
sqrt(2.6896×10¹⁴)
to solve this, we do the square root of 2.6896 and divide 14 by two (the index of the root is 2, so for roots' properties we can divide 14 by 2 - the index)
which gives us
1.64×10⁷
Solve the following inequality. 2(P + 1) > 7 + P
Answer: p > 5
Step-by-step explanation: screenshot
Answer:
p > 5
Step-by-step explanation:
2(p + 1) > 7 + p ← distribute parenthesis on left side
2p + 2 > 7 + p ( subtract p from both sides )
p + 2 > 7 ( subtract 2 from both sides )
p > 5
please answer this correctly
Answer:
557
Step-by-step explanation:
l x w
13x24
13x7
22x7
557
anwser it pls aaaaaaaassaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answer:
Step-by-step explanation:
Volume = Bh
Turn the shape so the trapezoid is on the bottom/base
h=18 for overall shape
B = area of base, trapezoid
B = 1/2 (b₁ + b₂) h
b₁ = 11
b₂ = 25
h = 24 for trapezoid
B = 1/2 (11 + 25)(24)
B = 432
V = Bh
V = (432)(18)
V= 7776 in³
Mikaela’s friends brought a big box of crackers to the movie theater. 53 crackers are
whole wheat and 29 crackers are cheese flavored. The remaining 1/3 of the box
contains sesame seed crackers. How many crackers are in the box altogether?
Answer:
123 crackers
Step-by-step explanation:
If 1/3 of the box contains sesame seed crackers, then, 2/3 of the box contains whole wheat and cheese flavored crackers.
Total number of whole wheat and cheese flavored crackers = 53 + 29 = 82
Let x be the total number of crackers in the box, so we will have the equation
2/3 x= 82
x = 82 ÷ 2/3; we will get
X =82 x 3/2
X = 123 crackers
can I get some help with changing the decimal 1.5 to a fraction please
Answer:
I do believe that 1.5 as a fraction is 3/2 or 1 and 1/2
Step-by-step explanation:
Hope this helps you:)
Answer:
1 ½ or 3/2
Step-by-step explanation:
Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction. - Khan Academy
Hope this helps :D
Round off to the underlined place values. 1 0.5242 2. 2.1616 3. 5.4852 4. 0.5862 5. 5.9658 6. 2.8959 7. 8.2584 8. 8.8956 9. 4.1492 1 5481
Answer:
wheres the underline pls let me know what is underlined ill answer it on comment
At a real estate agency, an agent sold a house for $361,000. The commission rate is 6.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answer:
$23,465
$4,693
Step-by-step explanation:
To find a percent of a number, multiply the percent by the number.
6.5% of $361,000 = 0.065 × $361,000 = $23,465
20% of $23,465 = 0.2 × $23,425 = $4,693
Which expression is equivalent to 63.56 + (–81.47)?
63.56 – 81.47
63.56 + 81.47
–63.56 – 81.47
–63.56 + 81.47
Answer:
63.56-81.47 is the correct answer
Answer:
63.56-81.47 is the correct answer
Step-by-step explanation:
What is the best description of originality?
nonobvious
special or interesting
convergent
having a low probability, unique
Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.
An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.
Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.
Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.
Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.
In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
To know more about Originality.
https://brainly.com/question/31916017
#SPJ11
Pls help !!!! will give 100 points and brainliest
a) xᵃ/xᵇ = xᵃ⁻ᵇ
b) xᵃ x xᵇ = xᵃ⁺ᵇ
c) x⁰ = 1
d) (xᵃ)ᵇ = xᵃˣᵇ
e) x⁻ᵃ = 1/xᵃ
indices are a method used in solving a variable in which the power or exponent of a number is raised to a number of variables
These questions are part of the basic theorems or rules of indices
To know more about Indices, you can learn it here: https://brainly.com/question/14928590
#SPJ1
The following data was collected from a simple random sample from a process (infinite population).
13 15 14 16 12
I've already determined that the point estimate of the population mean is 14 and the point estimate of the population std. deviation is 1.581.
What is the Mean of the Population?
A. 14
B. 15
C. 15.1581
D. Could be any Value.
The mean of the population is 14, which is the point estimate of the population mean that was determined from the simple random sample.
The mean of the population is a measure of the central tendency of the population. It is calculated by taking the sum of all the values in the population and dividing by the total number of values. In this case, the mean of the population would be calculated by adding the values of the sample (13, 15, 14, 16, 12) and dividing by the total number of values (5). The mean of the population is then 14 (13 + 15 + 14 + 16 + 12 / 5 = 14).
To calculate the mean of the population, we first need to calculate the sum of all the values in the population. This is done by adding the values of the sample together (13 + 15 + 14 + 16 + 12 = 70). We then divide the sum of the values by the total number of values in the population (70 / 5 = 14). This gives us the mean of the population, which is 14.
The mean of the population is a measure of the central tendency of the population, and it is calculated by taking the sum of all the values in the population and dividing by the total number of values. In this case, the mean of the population was 14, which is the point estimate of the population mean that was determined from the simple random sample.
The mean of the population is 14, which is the point estimate of the population mean that was determined from the simple random sample.
Learn more about random sample here:
https://brainly.com/question/28985088
#SPJ4
Evaluate the expression for x = 4.
10 + 2x - 3
O A. 15
B. 45
C. 36
D. 12
Answer:
The answer to this equation is A.
What is a number c decreased by 15?
Answer:
The Answer is Literally C - 15.
decreased by means subtract 15
and a number means the Variable: C
so C-15
Step-by-step explanation:
Find R. Round to the nearest tenth.
Answer:
letter R rounded off to the nearest tenth is 40
15 is the answer because this is the nearest
The table shows the age distribution of members of a gym. A member of gym is chosen at random. What is the probability that the person is: a) 21 or more b) 55 or less c) not in the 21 to 35 age group
The probability that the selected member is 21 or more is 88%.
The probability that the selected member is 55 or less is 86%.
The probability that the selected member is not in the 21 to 35 age group is 58%.
Finding probabilities:The basic probability formula of dividing the number of favorable outcomes by the total number of outcomes.
In this case, we are given the percentage of members in each age group, and we need to find the probability of selecting a member with a certain age range.
Here we have
The table shows the age distribution of members of a gym.
Age - Under 21 21 -35 36 - 55 Over 55
percentage 12 42 32 14
a) To find the probability that the selected member is 21 or more,
Add the percentage of members who are 21-35, 36-55, and over 55 since all of these age groups are 21 or more.
Probability (21 or more)
= Percentage (21-35) + Percentage (36-55) + Percentage (Over 55)
= 42% + 32% + 14%
= 88%
b) To find the probability that the selected member is 55 or less,
Add the percentage of members who are under 21, 21-35, and 36-55 since all of these age groups are 55 or less.
Probability (55 or less)
= Percentage (Under 21) + Percentage (21-35) + Percentage (36-55)
= 12% + 42% + 32%
= 86%
c) To find the probability that the selected member is not in the 21 to 35 age group,
Add the percentage of members who are under 21, 36-55, and over 55 since all of these age groups are not in the 21 to 35 age group.
Probability (not in the 21 to 35 age group)
= Percentage (Under 21) + Percentage (36-55) + Percentage (Over 55)
= 12% + 32% + 14%
= 58%
Therefore,
The probability that the selected member is 21 or more is 88%.
The probability that the selected member is 55 or less is 86%.
The probability that the selected member is not in the 21 to 35 age group is 58%.
Learn more about Probability at
https://brainly.in/question/34187875
#SPJ9
Someone please help me
Answer: Pretty sure it's A
Step-by-step explanation: If you find the square root of 282 you get 16.7
Answer:
It is A
Step-by-step explanation:
It is A because you need to take the square roots of every number the square root of 282 is 16.7985562
!!EASY!! look at the picture
Answer:what
Step-by-step explanation:
Please help with these to questions its urgent please!
Answer:
First problem: x = 5.7√2 = (57√2)/10
Second problem: x = 10√3
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
For such more questions on Kit Volume Correction
https://brainly.com/question/22971212
#SPJ8
Φ1 = ∬S1 (-2u^6cos(v) - 2u^3sin(v)) du dv
= ∫(0->1) ∫(0->2π) (-2u^6cos(v) - 2u^3sin(v)) dv du
\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)
does anyone know evaluate version
Answer: 6
Step-by-step explanation:
6x6x6 =216
Use the formula to find the total sum for the interior angles for a polygon with 7 sides.
Answer:
Sum = 900°
Step-by-step explanation:
Sum of interior angles = 180·(n-2),
where n is the number of sides the polygon has
Sum = 180·(7-2)
Sum = 180·5
Sum = 900°
what is 6(5/6)-4(1/3)? Show your work
\(6\frac{5}{6}-4\frac{1}{3}\) Showing my work using the mixed fraction the answer is \(=\frac{5}{2}\)
What do you mean by mixed fraction?
A fraction represented by a quotient and a remainder is a mixed number
Fractions represent parts of a whole.
How can I convert an improper fraction to a mixed number?
Divide the numerator by the denominator.
Keep the denominators the same, take the quotient as an integer, and the remainder as the numerator of the correct fraction.
Given expression:
\(6\frac{5}{6}-4\frac{1}{3}\)
⇒ \(\frac{41}{6}-\frac{13}{3}\)
⇒ \(\frac{41-26}{6}\)
= 15/6
= 5/2
Therefore, \(6\frac{5}{6}-4\frac{1}{3}=\frac{5}{2}\)
To learn more about the mixed fraction from the given link.
https://brainly.com/question/12096281
#SPJ4
Find the 12th term of the following geometric sequence.
10, 30, 90, 270, ...
Answer:
r = 90/30
r = 3
T12 = 10 × 3¹¹
T12 = 1771470
What is the volume of the composite figure? ASAP PLEASE!!!!
Answer:
74ft³
Step-by-step explanation:
Okay, so it's basically 3 rectangular figures smashed together so:
We'll do the 2 biggest one's first:
the formula for the volume of a rectangular figure is base x height so we first have to find the base:
4 x 3 = 12
So then we just plug our stuff in here:
12 x 3 = 36
Now there's 2 of these rectangles though so:
36 x 2 = 72
Now we're going to do the one in the middle:
1 x 2 = 2
2 x 1 = 2
Now we add that all together:
72 + 2 = 74
So, the volume of the composite figure is 74ft³
hope this helps:)
MARKING BRAINLIEST!!!
Answer:quadratic formula
Step-by-step explanation:
Answer:
Completing the square.
Step-by-step explanation:
x^2-8x+(-4)^2=22 can be rewritten as (x-4)^2=22. therefore, the best method would be completing the square.
what ticket price would maximize revenue?
As per the concept of system of linear equations, the maximum revenue of this basket ball match is $3.4
Linear equation:
Linear equation refers the one variable is an equation in which there is only one variable present. And it is of the form Ax + B = 0, where A and B are any two real numbers and x is an unknown variable that has only one solution.
Given,
A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at $10 the average attendance has been 28000. When the price dropped to $7, the average attendance rose to 33000. Assume that attendance is linearly related to ticket price.
Here we need to find the ticket price would maximize revenue.
In order to find the ticket price for the maximum revenue,
We have to identify the details from the given question,
Total seating capacity = 66,000
When ticket price $10 then the attendance 28,000
When ticket price $7 then the attendance 33,000
Let us consider the x be the maximum revenue ticket price.
Now, to solve this we have to find the slope for the equation,
That is,
=> m = (33000 - 28000)/(7 - 10)
=> m = 5000/-3
=> m = -5000/3
=> m = 1666.6
Then the revenue equation is written as,
=> y = (10 - x) * (28,000 + 1666.6x)
=> y = 280000-11334x-1666.6x²
If we plot the this function into the graph, then we get the graph like the following.
Therefore, the solution of the graph is 3.4.
To know more about Linear equations here.
https://brainly.com/question/11897796
#SPJ1
The units of an item available for sale during the year were as follows: Jan. 1 Inventory 50 units at $124 Mar. 10 Purchase 60 units at $132 Aug. 30 Purchase 20 units at $138 Dec. 12 Purchase 70 units at $142 There are 80 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the ending inventory cost and the cost of goods sold by three methods. Round interim calculations to one decimal and final answers to the nearest whole dollar. blank Cost of Ending Inventory and Cost of Goods Sold Inventory Method Ending Inventory Cost of Goods Sold First-in, first-out (FIFO) $fill in the blank 1 $fill in the blank 2 Last-in, first-out (LIFO) fill in the blank 3 fill in the blank 4 Weighted average cost fill in the blank 5 fill in the blank 6
Ending Inventory Cost and Cost of Goods Sold using different inventory methods:
FIFO Method:
Ending Inventory Cost: $11,920
Cost of Goods Sold: $15,068
LIFO Method:
Ending Inventory Cost: $11,996
Cost of Goods Sold: $15,123
Weighted Average Cost Method:
Ending Inventory Cost: $11,974
Cost of Goods Sold: $15,087
Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.
This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.
Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.
This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.
Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.
Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.
for such more questions on Cost
https://brainly.com/question/2292799
#SPJ8
PLZ HELP I cannot afford to fail this class
Answer:
x^8/3
Step-by-step explanation:
can 64, 58 and 58 make a right triangle?
Answer:
No
Step-by-step explanation:
In the Pythagorean theorem the sum of the 2 shortest side's squares add up to the square of the longest side (a²+b²=c²).
58²+58² = 64²
3,364+3,364 = 4,096
6,728 = 4,096
This is false so these sides can not make up a right triangle