The product of two given numbers in terms of scientific notations is 1.36 × 10^(22).
What are scientific notations?
Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.
Calculation of the product of two numbers
Given two numbers are 3.2 × 10^(12) and 4.25 × 10^(9)
Multiplying two numbers, we get
= 3.2 × 10^(12) × 4.25 × 10^(9)
= 13.6 × 10^(21)
= 1.36 × 10^(22)
Hence, the product of two numbers in terms of scientific notations is 1.36 × 10^(22).
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A train car is carrying 500 TV's.
If each set weighs 12.85 pounds, what is the
weight of the entire load?
Answer:
6425
Step-by-step explanation:
12.85x500=6425
the expression 14x 3 represents the perimeter of the triangle. what is the length of the third side
consider a clock with an hour hand and a minute hand. what is the measure of the angle the minute hand traces in 36 minutes. your answer should be in radians.
The measure of the angle the minute hand traces in 36 minutes is 3.77 radians
Calculating AngleFrom the question, we are to determine the measure of the angle the minute hand traces in 36 minutes
The minute hand makes a complete rotation after 60 minutes.
Thus,
The angle the minute hand would have traced in 36 minutes is
36/60 × 360°
= 12960/60
= 216°
Now, convert to radians
216° = 216 × π/180 rad
= 3.77 rad
Hence, the measure of the angle the minute hand traces in 36 minutes is 3.77 radians
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What is the appropriate analysis to use when there are two independent variables that are measured and one dependent variable that is measured?
If there are two independent variables that are measured and one dependent variable that is measured, then the multiple regression method will use
Given,
The conditions
There are two independent variablesThe two independent variables are measured and one dependent variable that is measuredWe know
In multiple regression method the dependent variables are predicted by using the known independent variables. This method is usually used to analyze the relationship between multiple independent variables and one independent variables,
So here multiple regression method is using.
Hence, if there are two independent variables that are measured and one dependent variable that is measured, then the multiple regression method will use
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from a random sample of workers at a large corporation you find that 58% of 200 went on a vacation last year away from home for at least a week.
Option D is the correct answer (We are 95% confident that the proportion of coworkers who went on a vacation last year away from home for at least a week is between 50% and 66%)
Since the confidence interval is calculated for population proportion (parameter) based on sample data.
What is a confidence interval?Because the figure is based on a sample of the population you are investigating; there is always uncertainty when you generate an estimate in statistics, whether it be a summary statistic or a test statistic. The confidence interval is the range of values. If you repeated your experiment or resampled the population in the same manner, you would anticipate your estimate to fall within a specific proportion of the time. The alpha value determines the confidence level, the proportion of times you anticipate being able to recreate an estimate between the top and lower boundaries of the confidence interval.
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57x23=?
What is the explanations
Answer:1311
Step-by-step explanation:
2 digit long multiplication.
__________________________________________
Long multiplication can seem very intimidating, especially if you're multiplying two numbers that are pretty large. If you take it step by step, though, you'll be able to do long multiplication in no time.
First, muiltiply the 3 by 5 and 7, and muiltiply the 2 by 5 and 7 as well.
[tex]\frac{\begin{matrix}\:\:&\:\:&5&7\\ \:\:&\times \:&2&3\end{matrix}}{\begin{matrix}0&1&7&1\\ 1&1&4&0\end{matrix}}[/tex]
(NOTE: Remember when you muiltiply two digit numbers, when you pass from the first digit to the other on the bottom side, you ALWAYS add a zero to the beginning of the result BEFORE multiplying the following digit)
Secondly, once you've multiplied, you add both results of the multiplication.
[tex]\frac{\begin{matrix}\:\:&\textbf{\:\:}&1&\:\:&\:\:\\ \:\:&\textbf{0}&1&7&1\\ +&\textbf{1}&1&4&0\end{matrix}}{\begin{matrix}\:\:&\textbf{1}&3&1&1\end{matrix}}[/tex]
[tex]=1311[/tex] <- This is your final answer.
___________________________________________
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b. a quality control randomly selects two of five parts to test for defects. in a group of five parts, how many combinations of two parts can be selected?
10 combinations of two parts can be selected.
Combination is defined as the number of arrangements in a collection of items where the order of selection does not matter.
denoted by C(n,x)= ⁿcₓ=[tex]\frac{n!}{(x!)(n-x)!}[/tex] ,
where n is the total number of elements in the set.
x is the number of selected objects.
According to the Question
Total number of elements = 5 = n
Number of objects to be selected = 2 = x
Substituting the values in the above formula
C(5,2)=[tex]\frac{5!}{2!*3!}[/tex]
[tex]=\frac{5*4*3!}{2*3!} \\ \\ =\frac{20}{2} \\ \\ =10[/tex]
Therefore , 10 combinations of two parts can be selected.
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11. The circlex²+y² = 26 and the line y = x + 4 meet at two points P and Q
a) show that the x co-ordinates of P and Q satisfy the equation x² + 4x-5=0
b) hence find the co-ordinates of P and Q
a)The x co-ordinates of P and Q satisfy the equation x² + 4x - 5 = 0.
b)The co-ordinates of P and Q are (-5, -1) and Q = (1, 5).
What is defined as the equation of the circle?(x-h)² + (y-k)² = r² is the equation for a circle with (h, k) center and r radius. This is the equation's standard form. Thereby, if we recognise the coordinates of the circle's center and radius, we can usually find its equation.The given equation of the circle is;
x² + y² = 26.
Th circle satisfies the line y = x + 4.
Thus, Put the value of y in the main equation.
x² + (x + 4)² = 26.
Simplify the equation;
x² + x² + 16 + 8x = 26
2x² + 8x - 10 = 0
Divide the equation by 2.
x² + 4x - 5 = 0
Part a: This shows that x co-ordinates of P and Q satisfy the equation x² + 4x - 5 = 0.
Part b: Now, do the factorization of x² + 4x - 5 = 0.
(x + 5)(x - 1) = 0
x = -5 and 1.
For x = -5; y = -1
Point P = (-5, -1)
For x = 1; y = 5
Point Q = (1, 5)
Thus, the requires points P and Q are obtained.
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Mobius, incorporated, has a total debt ratio of .48. a.what is its debt-equity ratio?
debt-equity ratio is 0.92.
What is debt equity ratio?A firm's total liabilities and shareholder equity are compared using the debt-to-equity (D/E) ratio, which may be used to determine how heavily reliant a company is on debt. D/E ratios vary by sector and are most useful for comparing a firm to its closest rivals or tracking changes in its reliance on debt over time. When comparing similar organizations, a larger D/E ratio denotes greater risk, whereas a very low one can signify that a company is not utilizing debt funding to grow. Since long-term debt entails greater risk than short-term commitments, investors frequently change the D/E ratio to simply take it into account.
Debt-equity ratio is computed as follows:
= total debt ratio / (1 - total debt ratio)
= 0.48 / (1 - 0.48)
= 0.48 / 0.52
= 0.92
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I need help with 18 and 22. With a full explanation please.
The answer of 18 is y = 0.5x + 0
The answer of 22 is y = -0.4x + 0
Step-by-step explanation:
c is constant, m is gradient
18. m = 1/2
m = 0.5
1 = 0.5(2) + c
1 = 1 + c
c = 0
y = 0.5x + 0
22. m = 2/-5
m = -0.4
2 = -0.4(-5) + c
2 = 2 + c
c = 0
y = -0.4x + 0
\Which set does not contain –3?
the set of all real numbers
the set of all integers
the set of all whole numbers
the set of all rational numbers
Answer:
The set of all whole numbers
Step-by-step explanation:
Real numbers, integers, and rational numbers can all contain negative numbers. Whole numbers include numbers from 0 and up.
Hope this helps!
Have a nice day
Jarome is making pizza. He uses 2 1/2 cups of cheese for
every 2 3/4 pizzas. He has 6 1/4 cups of cheese left in the
bag. How many pizza pies can he make with the leftover
cheese?
Jarome can make 6 whole pizzas with the leftover cheese.
Given that Jarome uses 2 1/2 cups of cheese for every 2 3/4 pizzas. He has 6 1/4 cups of cheese left in the bag.
We need to determine the number of pizza pies can he make with the leftover cheese.
To find out how many pizza pies Jarome can make with the leftover cheese, we need to determine how many sets of 2 3/4 pizzas can be made using 6 1/4 cups of cheese.
Let's start by finding the number of sets of 2 3/4 pizzas that can be made from 6 1/4 cups of cheese:
Number of sets = Total cheese available / Cheese per set
Number of sets = 6 1/4 cups / 2 1/2 cups per set
To make the calculation easier, let's convert all the mixed numbers to improper fractions:
6 1/4 cups = (4 x 6 + 1) / 4 = 25/4 cups
2 1/2 cups = (2 x 2 + 1) / 2 = 5/2 cups
Number of sets = (25/4) / (5/2)
Now, to divide fractions, we invert the divisor (5/2) and multiply:
Number of sets = (25/4) x (2/5)
= (25 x 2) / (4 x 5)
= 50/20
= 5/2
So, Jarome can make 5/2 sets of 2 3/4 pizzas with 6 1/4 cups of cheese.
Now, let's see how many pizzas he can make with the leftover cheese:
To calculate the number of pizzas in 5/2 sets, we multiply it by the number of pizzas per set (2 3/4 pizzas):
Number of pizzas = (5/2) x (2 3/4)
Again, let's convert all the mixed numbers to improper fractions:
2 3/4 pizzas = (4 x 2 + 3) / 4 = 11/4 pizzas
Number of pizzas = (5/2) x (11/4)
Now, when multiplying fractions, we simply multiply the numerators together and the denominators together:
Number of pizzas = (5 x 11) / (2 x 4) = 55/8
So, Jarome can make 55/8 pizzas with the leftover 6 1/4 cups of cheese.
Now, let's simplify the fraction:
55/8 = 6 7/8
Therefore, Jarome can make 6 7/8 pizzas with the leftover 6 1/4 cups of cheese.
Since we can't make a fraction of a pizza, he can make 6 whole pizzas with some cheese left over.
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A bike rental fee is $15 plus $0.25 per hour how many hours can Kristen rent a bike if she has $20?
Answer:
Kristen can ride the bike for 20 hours
Step-by-step explanation:
20 - 15 = 5
The rate is 0.25 an hour.
0.25 x 4 = 1 - Currently $4
0.25 x 4 = 1 - Currently $3
0.25 x 4 = 1 - Currently $2
0.25 x 4 = 1 - Currently $1
0.25 x 4 = 1 - No more
Add up all the 4's
She can ride the bike for 20 hours.
Part 1 of 2 Question content area top Part 1 A bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 13 minutes, and then flies directly back to the hive at 8 feet per second. It is away from the hive for a total of 15 minutes. a. What equation can you use to find the distance of the flowerbed from the hive? b. How far is the flowerbed from the hive?
A group of friends wants to go to the amusement park. they have $327.75 to spend on parking and admission. parking is $13.75, and tickets cost $39.25 per person, including tax. how many people can go to the amusement park?
The total number of people who can go to the amusement park in the given scenario is 6. This problem is based on the basic mathematical formulae.
Formulae are mathematical statements comprising expressions, numbers, and variables to ease complex calculations.
Given that
The total amount for the expenditure = [tex]\[/tex]327.75.
Cost of parking per person = [tex]\[/tex]13.75,
Cost of tickets per person = [tex]\[/tex]39.25.
Total cost per person = Cost of parking per person + Cost of tickets per person
Total cost per person = [tex]\[/tex]13.75 + [tex]\[/tex]39.25
= [tex]\[/tex]53
So,
Number of persons = [tex]\frac{The total amount for the expenditure}{Total cost per person }[/tex]
= [tex]\frac{327.75}{53}[/tex] = 6.18.
So, 6 people can go to the amusement park.
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Write the following solution in interval notation:
x≥-3
Answer:
[-3,∞)
Step-by-step explanation:
Since x is on the left side and is greater than -3, we will use a bracket in front of the -3. Since we do not know when the interval ends, we finish it with a positive infinity because we know that x is GREATER than (or equal) to -3. If it were less than -3, it would be negative infinity. Similarly, we use a rounded bracket because infinity is a positive value greater than -3.
question what is an expression equivalent to 6(24) using the distributive property? drag and drop the appropriate number into each box.
The following can be used to rewrite the provided expression: 6(24) = 6(20 + 4).
What in mathematics is a distributive property?The distributive Property states in that it is necessary to multiply every one of the two numbers by the factor before performing the addition operation when a factor is multiplied by that of the sum or addition of two terms. The distributive law, which states that in elementary algebra, equality is always true, is generalized by the distributive principle of binary operations.
According to the given data:The following generic form can be used to specify the distribution property:
a(b+c) = ab + bc
the following expression:
6(24)
We can observe the following by contrasting this to the general form:
a = 6
b + c = 24
Consequently, we must identify two integers from the options whose sum is 24.
These numbers, out of the options provided, are 20 and 4.
The following can be used to rewrite the provided expression: 6(24) = 6(20 + 4).
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a water sprinkler is set to shoot a steam of water a distance of 12m and rotate through an angle of 40 degrees.
A) what is the ares of the lawn it waters? For r=12?
B.)what angle is required to water twice as much area. for θ=40 degree?
C)what range for the water stream is requiredto water twice as much area?
The area of the lawn is given as 50 . 24 m²
How to find the area of the lawn that the sprionkler watersArea = πr² x θ/360
r = 12m
θ = 40 degrees
Area = 3.14 x 12² * 40/360
= 50.24
Hence the area is 50 . 24 m²
b. what angle is required to water twice as much area2 x 50.26
= 100.52
Area = πr² x θ/360
The value of θ is not given
When we plug in the figures we would have
100.52 = πr² x θ/360
Then θ = 100.53 x 360 / 3.14 x 12²
= 80 degrees
c. θ = 40 degrees
100. 53 = πr² x 40/360
πr² = 100.53 x 360 / 40
r = 16.97 m
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machine a, working alone at its constant rate, produces x pounds of peanut butter in 12 minutes. machine b, working alone at its constant rate, produces x pounds of peanut butter in 18 minutes. how many minutes will it take machines a and b, working simultaneously at their respective constant rates, to produce x pounds of peanut butter?
The total time taken by machine A and B working together to produce x amount of peanut butter is 7.2 minutes.
What is the concept of time and work?
Time and work defines the way how the particular work is done in the given time. It gives an exact relationship between the work and the number of days required to complete it.
Calculation of the total time taken by the machines A and B working together
Given that Machine A completes the entire job in 12 minutes.
So, machine A completes 1/12 of the job in one minute.
Machine B takes 18 minutes to complete the entire job.
So, machine B completes 1/18 of the job in one minute
When we combine their work, they will complete (1 / 12 + 1 / 18) job in one minute i.e. (3 + 2) / 36 = 5/36 job in one minute —---- 1
To find the time taketaken by them to produce x amount of peanut butter, we will reciprocate the result obtained in equation 1
i.e. 36 / 5 minutes to complete the entire job
i.e. 7.2 minutes
Hence, the time taken by machine A and B working together to produce x amount of peanut butter is 7.2 minutes.
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6 time the complement of an
angle is 44° less than 2 times its supplement. Find all angles
The value are-
original angle = 34°complement angle = 56°supplement angle = 146°What are defined as the complement and supplement angle?If a sum of two angles is 180 degrees, they are referred to as supplementary angles because they form a linear angle when combined. If a sum of two angles is 90 degrees, they are termed to be complementary angles because they form a right angle when combined.Now, for the given question.
Let the given angle be 'x'.
Then, the complement of the angle will be: 90 - x.
6 times the complement = 6(90 - x)
6 times the complement is 44 less; 6(90 - x) - 44.
Now, the supplement of the angle is; 180 - x.
Two time the supplement = 2(180 - x)
The equation will form as;
2(180 - x) = 6(90 - x) - 44
360 - 2x = 540 - 360 - 44
Simplifying the equation;
x = 34.
Thus, the original angle is 34°.
complement angle = 90 - x
= 90 - 34
= 56°
Thus, complement angle = 56°
supplement angle = 180 - x
= 180 - 34
= 146
supplement angle = 146°
Thus, the values of the angles are obtained.
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The price of Stock A at 9 AM was $15.97. Since then, the price has been increasing at the rate of $0.11 each
hour. At noon the price of Stock B was $16.72. It begins to decrease at the rate of $0.15 each hour. If the two rates continue,
in how many hours will the prices of the two stocks be the same?
In about hours, the prices of the two stocks will be the same.
In roughly 127 hours the prices of the two stocks will be the same.
What do we mean by equations?A mathematical equation is a statement that uses the symbol 'equal to' to connect two expressions with equal values. 3x + 5 = 15, for example. Equations are classified into linear, quadratic, cubic, and other types.So, if we count the hours (x) after 9 a.m., the stock prices will be:
A = $15.97 + $0.11xB = $16.72 - $0.15(x - 3)The value of x when A = B can be calculated using:
A = B
$15.97 + $0.11x = $16.72 - $0.15(x - 3)$15.97 + $0.11x = $16.72 - 0.15x + 0.45$0.11x + 0.15x = $16.72 + 0.45 - $15.97$0.26x = $33.14x = 33.14/0.26= 127.4615384615385Rounding off: 127Therefore, in 127 hours roughly the prices of the two stocks will be the same.
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Do the two functions below appear to be inverses of each other
Answer:
yes
Step-by-step explanation:
if (a,b) is on the graph of f(x) then (-a,-b) is on the graph of f^-1(x)
PLSSS HELP IF YOU TURLY KNOW THISS
On simplifying the given expression the no. that goes in green box is -7
The rule of addition of two numbers
(+) (+) = (+)adding two positive integers result in positive integer.
(-)(-) = (+)adding two negative integers results in the sum with a negative sign.
(+)(-) = (-) (-)(+) = (-)addition of two different signed Integer will result in subtraction only and the sign of the result is same as the larger number sign.
so
2 + 16x - 9 - 10x
6x + [-7] HERE [ 2 + (-9) = -7 ]
On simplifying the given expression the no. that goes in green box is -7
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which of the following values is not a soliution to -4x - 6.8<34
A. X=-9
B. X=-10.2
C. X=-11
D. X=-10
The value not in the solution is x = -10.2
How to determine the value not in the solution?The inequality expression is given as:
-4x - 6.8<34
Add 6.8 to both sides of the inequality
So, we have:
-4x < 40.8
Divide both sides by -4
x > -10.2
This means that only values greater than -10.2 are in the solution set
Hence, the value not in the solution is x = -10.2
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Which of the following numbers are irrational?
Answer:
π/2 and ³√4
also -4.8237 and π/2
Step-by-step explanation:
number 2 and 4 are automatically out since every integer is a rational number.
√25 = 5 and 5 + 4 = 9, 9 can be expressed as 9/1 which falls under rational numbers.
π/2 on the other hand is not rational same goes for -4.8237 and ³√4 because these numbers cannot be written as a fraction with integers.
for the above numbers π/4 and ³√9 are irrational.
marvin was completing the square, and his work is shown below. identify the line where he made his mistake. (2 points) f(x)
It can be seen that the mistake that was made by Marvin was on line 1.
How to illustrate the information?2x² - 8x + 5.... move the 5 to the other side
2x² - 8x = -5
Now divide by 2
x² - 4x = -5/2
x² - 4x + 4 = -5/2 + 4
(x - 2)² = -5/2 + 8/2
(x - 2)² = 3/2
x - 2 = (+-)sqrt 3/2
x = 2 + sqrt 3/2 or x = 2 - sqrt 3/2
Therefore, he made his mistake on line 1.
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Marvin was completing the square, and his work is shown below. Identify the line where he made his mistake. f(x) = 2x2 − 8x + 5. Line 1: f(x) = 2(x^2 − 8x) + 5 Line 2: f(x) = 2(x^2 − 8x + 16) + 5 − 32 Line 3: f(x) = 2(x − 4)^2 − 27
-4b+5=-27 is what because i have no idea
Answer:
b=8
Step-by-step explanation:
-4b + 5 = -27
Move the 5 to the right side by subtraction, subtract five from the right side as well.
Now you should have:
-4b = -32
Now divide by -4 to get ‘b’ isolated, do this on both sides.
You should be left with:
b=8
A large polymeric molecule that is nonpolar over most of its structure but very polar at one end:_____.
A large polymeric molecule that is nonpolar over most of its structure but very polar at one end DNA and Phospholipid.
DNA and phospholipid were two examples of huge polymeric molecules that would be polar solely on a single end although nonpolar on the majority of their structure, as opposed to the other alternatives, which would be all monomeric compounds. Nucleotides are used to help DNA create its polymeric structure. Phosphodiester linkage aids in the arrangement of the nucleotides.
The polar molecule would only be found in one area of the vast strand-like polymeric structure. At one extremity of the strand, there is a polar phosphate link; with its assistance, some other monomeric units were joined, generating the phosphodiester bonds. Two fatty acids and the first molecule of glycerol work together to generate the structure known as the phosphodiester.
The phosphate group is present in the polar head region of the phosphate group. This help in the polarity of the phospholipid structure making the head region of the polymeric molecule hydrophilic.
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Todd wants to make a cheesecake for a birthday party. The recipe calls for a 9-inch diameter round pan. Todd only has square pans. He has an 8 -inch square pan, a 9-inch square pan, and a 10 -inch square pan. Which pan comes closest in area to the one that the recipe suggests?
The pan that comes closest in area is the 8-inch square pan.
What pan comes closest?A circle is a bounded figure which points from its center to its circumference is equidistant.
Area of a circle = πr²
Where :
π = pi = 22/7
R = radius = diameter / 2 = 9/2 = 4.5 inches
22/7 x 4.5² = 63.64 in²
A square is a quadrilateral with four equal sides.
Area of a square = length²
8² = 64 in²
9² = 81 in²
10² = 100 in²
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Find the solution to the differential equation dzdt=7te7z that passes through the origin.
The answer is [tex]z &=-0.14\left[\ln \left(1-24.5 t^2\right)\right]\end{aligned}$$[/tex]
What do you understand by differential equation?
An ordinary derivative or a partial derivative can both be found in a differential equation. The differential equation describes the relationship between the variable that is constantly varying with respect to the change in another quantity, and the derivative represents a rate of change.
Equations with General Differential. Consider the differential equation y′=3x2, which has a derivative and is an illustration of a differential equation. The variables x and y are related because y is an unidentified function of x. The derivative of y is also on the equation's left-hand side.
Given equation:
[tex]$$\begin{aligned}&e^{-7 z} d z=7 t d t \\&:(-1 / 7) e^{-7 z}=3.5 t^2+C\end{aligned}$$[/tex]
[tex]$C=-1 / 7$[/tex]
[tex]$$(-1 / 7) e^{-7 z}=3.5 t^2-1 / 7$$[/tex]
[tex]$$e^{-7 z}=1-24.5 t^2$$[/tex]
[tex]$$\begin{aligned}-7 z &=\ln \left(1-24.5 t^2\right) \\z &=-0.14\left[\ln \left(1-24.5 t^2\right)\right]\end{aligned}$$[/tex]
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