The multiplication of two or more quantities is expressed as the "product" of those quantities. In dimensional analysis, multiplying a quantity by unit conversion factors that are equal to 1 does not change that quantity's value. This is a fundamental principle used in various fields to ensure unit consistency.
The multiplication of two or more quantities may be expressed as the product of the same quantities. When we multiply numbers and units, we apply the mathematical operation to both, resulting in a new number and a combined unit of measurement. For example, if we multiply 86 inches by some quantity in centimeters (cm), the number part gets multiplied to yield the numerical product, and the units inch (in) and centimeter (cm) are multiplied to give a unit product in inches times centimeters (in×cm).
Moreover, in dimensional analysis, we use conversion factors that equate to 1 to change from one unit to another without changing the quantity's value. For example, since 100 centimeters (cm) is equivalent to 1 meter (m), we can create a conversion factor of 1 by writing 100 cm over 1 m or vice versa. This concept is vital for ensuring the consistency of units when performing multiplications or divisions in various fields, including economics, engineering, and physics.
When dealing with expressions, multiplication can also be viewed as a reversal of the distributive law, transforming addition or subtraction statements into a set of multiples or factors that produce an equivalent value.
Please help out with this if you can.
Answer:
3/7 and 4/17
Step-by-step explanation:
a) given that Shen is playing a game and the probability of unlocking the treasure test is 3/10.
To find the odds in favour of his character unlocking the treasure chest.
Since probability = 3/10 we have favourable and total are in the ratio 3:10
i.e. favourable:Favourable+unfavourable= 3:3+7
Hene odds= favourable:unfavourable =3/7
Answer is 3/7
b) Given that odds against choosing a blue block are 13/4
This means there are 4 blue blocks and 13 other colour blocks.
Total blocks= 13+4 =17
No of blue blocks = 4
Probability of selecting blue block=4/17
The value of a car decreases about 7% percent each year after it is manufactured.The 2017 Honda Civic costs $19,540
Answer: a) , where 'A' is the value of car after 't' years.
b) $12446.784
Step-by-step explanation:
Given: A new car that sells for $21,000 depreciates (decreases in value) 16% each year.
Then a function that models the value of the car will be
, where 'P' is the selling price of car, 'r' is the rate of depreciation in decimal, 't' is the time in years and 'A' is the value of car after 't' years.
Thus after substituting given value, the function becomes
To find the value after 3 years, substitute t=3 in the above function.
Hence the value of car after 3 years=$12446.784
The value of a car such as the 2017 Honda Civic decreases approximately 7% per year after manufacture. This is an example of exponential decay. After the first year, the car's value would be close to $18,172.
Explanation:The value of a car declining annually after its manufacture is an example of exponential decay in mathematics. In the case of the 2017 Honda Civic costing $19,540, the value decreases by approximately 7% each year. To calculate this, we can use the formula for exponential decay which is A = P(1 - r), where A is the final amount, P is the initial amount (price of the car), r is the rate of decrease (in decimal form), and n is the number of time periods (years in this case).
Now, if you want the value of the car after its first year, replace P with $19,540, r with 0.07, and n with 1. When calculating this, you should get a value close to $18,172, which is the approximate value of the car one year after it was manufactured.
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For a certain experiment, if we expect to get an apple 8 times in 200 trials, what is the theoretical probability of getting an apple?
Answers:
A) 1/50
B) 1/30
C) 1/25
D) 1/100
5 times larger than the sum 2 and 8
Answer:
50
Step-by-step explanation:
The sum of 2 and 8 is 10. 10 times 5 is 50
Answer:
50
Step-by-step explanation:
10 times 5 is 50
suppose that many large samples were taken from population A, which is normally distributed, and population c, which is not normally distributed. The means of the samples of which of the following populations would approximate a normal distribution?
a. both population a and population c
b. neither
c. population c
d. population a
Answer:
Both populations -Apex
Step-by-step explanation:
he table shows the number of calories in different numbers of apples. Number of Apples 3 5 8 Number of Calories 195 325 520 How many calories are in 9 apples? Enter your answer in the box.
Answer:
The answer is 585
Step-by-step explanation:
I took the k12 test the answer above is correct
A circle has a circumference of 28.26 units. What is the diameter of the circle?
Answer:
The diameter of the circle is 9.
Step-by-step explanation:
Because circumference is equal to [tex]\pi[/tex] * d, we can backtrack and use this equation to find diameter. Let's say [tex]\pi[/tex] is equal to 3.14.
28.26 = 3.14d
Divide both sides by 3.14.
9 = d
The diameter of the circle is 9.
To find the diameter of a circle with a circumference of 28.26 units, the formula D = C / π is used, yielding a diameter of approximately 9 units.
Explanation:The student's question pertains to finding the diameter of a circle when the circumference is given. The circumference (C) of a circle is related to the diameter (D) by the formula C = πD, where π (pi) is approximately 3.14159. Given that the circumference of the circle is 28.26 units, we can solve for the diameter by rearranging the formula to D = C / π.
Substituting the given circumference into the formula gives us:
D = 28.26 units / 3.14159
When we do this calculation, we find that the diameter is approximately 9 units. Therefore, the diameter of the circle is approximately 9 units.
The complement of an angle is 35 degrees what is the measure of the angle?
A. 35 degrees
B. 70 degrees
C. 45 degrees
D. 55 degrees
Complementary angles add up to 90 degrees.
The complement angle to 35 is:
90 - 35 = 55 degrees.
The answer is D.
A diagonal shortcut across a rectangular lot is a 100 feet the lot is 60 feet wide what is the length of the lot
A. 40 feet
B. 60 feet
C.80 feet
D.90 feet
Da answer should be A. 40 feet hope it's da right answer
6.19 round to whole number
Answer:
6 is the closest whole number
Step-by-step explanation:
Answer: 6
Step-by-step explanation: If the first digit in 6.19 is less than 5 then we simply remove the decimal after the whole number (0.19 in this case) to get the answer. If the first digit in 6.19 is 5 or above, then we add 1 to the whole number (6 in this case) and remove the decimal after the whole number (0.19 in this case) to get the answer.
I hope that helped! Good luck, fam! :D
- Une
Write a linear function for the line represented by the point-slope equation y - 4 = 3 (x - 4)
MUST SHOW WORK TO GET CREDIT. PLEASE HAVE LEGIT AND IN DETAIL ANSWERS.
Answer:
Y = 3 X + (-8)
Step-by-step explanation:
The given equation is in the slope intercept form
Equation is
Y - 4 = 3 (X - 4)
In a linear function → it takes number X as a input and gives mX + b as output.
m and b are constant.
mX → it is called scaling by factor m.
+b → it is called a shift by an amount b.
Then we can say that linear function looks like this
f(X) = mX + b
Let Y = f(X)
Hence,
Y = mX + b
From the given equation
Y - 4 = 3 (X - 4)
Y - 4 = 3 X - 12
Y = 3 X + (-8) (m = 3 , b = - 8)
It is the linear form of the given equation
Solve the inequality.
x/8>4 ??
Answer:
x > 32
Step-by-step explanation:
x/8 > 4 Multiply both sides by 8
x > 32
#20 please help me with this Austin’s and an explanation please
Answer:
10 2/15 hours
Step-by-step explanation:
If we have a candle that is 11 2/5 inches tall
It burns 1 1/8 inches per hour. We need to divide to see how long the candle will last
11 2/5 ÷ 1 1/8
I will convert the mixed numbers to improper fractions
11 2/5 = (5*11+2)/5 = 57/5
1 1/8 = (8*1+1)/8 = 9/8
57/5 ÷ 9/8
Copy dot flip
57/5 * 8/9
456/45
Now we change it back to a mixed number
45 goes into 456 10 times with 6 left over
10 6/45
This simplifies to 10 2/15
how would i graph y=-x-6
Answer:
Step-by-step explanation:
-6 is your (y) while -x is your (x), for -x turn that to (-1/1) which is down 1 and right 1. That's your answer
Find the x-intercept and y-intercept of -x+2y=8
y-intercept: (0,4)
x-intercept: (8,0)
Y-intercept:
I made x=0
[tex]0+2y=8\\[/tex]
divide by 2 on both sides
[tex]y=4[/tex]
x-intercept
I made y=0
[tex]x+2(0)=8\\x=8[/tex]
(I NEED HELP PLEADE) I will give brainliest
Answer:
C is the correct answer.
can i get help for b please? URGENT
Answer:
195 cm
Step-by-step explanation:
Total the number of players and their total heigh
number of players = 2 + 6 + 3 + 1 + 1 = 13
total height = (2 × 200) + (6 × 201) + (3 × 202) + 203 + 204
= 400 + 1206 + 606 + 203 + 204 = 2619 cm
let x be the height of the new player, then
[tex]\frac{2619+x}{14}[/tex] = 201 ( multiply both sides by 14 )
2619 + x = 14 × 201 = 2814 ( subtract 2619 from both sides )
x = 2814 - 2619 = 195
height of new player is 195 cm
Help with this please
Answer: The question is saying to write an equation in slope form: y=mx+b
M=1/4 and b=-3/4
It is the first answer: y=1/4x-3/4
Angeline bought s yards of satin fabric priced at $8.09 per yard, and c yards of cotton fabric priced at $3.79 per yard. What expression could you use to determine the total cost of the fabric? If she bought 5 yards of satin fabric and 8 yards of cotton fabric, how much did Angeline spend in all?
Answer:
70.77
Step-by-step explanation:
Hope this helps
A convenience store sells two brands of orange juice. Brand A contains 8 fluid ounces and costs $1.28. Brand B contains 12 fluid ounces and costs $1.68. What is the difference in cost, in dollars, per fluid ounce between the two brands of juice?
Answer:
$.02 per ounce
Step-by-step explanation:
To find the cost per ounce, we take the cost and divide by the ounces
Brand A
$1.28 / 8
$.16 per ounce
Brand B
$1.68/12
$.14 per ounce
To find the difference, we subtract the smaller from the larger
$.16 -$.14
$.02 per ounce
Answer:
oof
Step-by-step explanation:
1. Which percent is indicated by the shaded area of the grid below?
A. 40%
B. 41%
C. 49%
D. 59%
2. Write 15% as a decimal.
A. 1.5
B. 0.15
C. 0.015
D. 0.0015
Write 5.6 as a percent.
A. 56%
B. 5.6%
C. 560%
D. 0.56%
Answer: 1) A. 41% (2)B. 0.15
(3) C. 560%
Step-by-step explanation:
In question 1, all you need to do is to count the number of shaded box, and tho total boxes are 100, so number of shaded box/100
=41/100 = 41%
In question (2)
15/100,whenever you shift a decimal to the left hand side the zero will go away, so shiftingit twice to the left handside,the two zeros will go away, so you will have 0.15
In question3
5.6 to percentage,
Simply multiply by 100/100
5.6 ×100/100 = 560/100 =560%
Can I have some help finding this answer please
Answer:
The hypotenuse of this is 6
Step-by-step explanation:
Answer:
hypotenuse = 6
Step-by-step explanation:
For a right triangle, we know that sin (theta) = opposite / hypotenuse
sin 45 = 3 sqrt(2)/ hypotenuse
Multiply both side by hypotenuse
hypotenuse * sin 45 = 3 sqrt(2)
Divide by sin 45 on both sides
hypotenuse * sin 45/ sin 45 = 3 sqrt(2)/sin 45
hypotenuse = 3 sqrt(2)/sin 45
hypotenuse = 6
Which is the following sum in simplest form? sqrt 8+ 3 sqrt2 +sqrt 32
Answer:
Exact Form:
9√2
Decimal Form:
12.72792206
Step-by-step explanation:
Simplify expression
Answer:
[tex]9\sqrt{2}[/tex]
Step-by-step explanation:
sqrt 8+ 3 sqrt2 +sqrt 32
[tex]\sqrt{8} +3\sqrt{2} +\sqrt{32}[/tex]
Simplify each square root
[tex]\sqrt{8}=\sqrt{2*2*2}=2\sqrt{2}[/tex]
[tex]\sqrt{32}=\sqrt{4*4*2}=4\sqrt{2}[/tex]
Given expression becomes
[tex]2\sqrt{2} +3\sqrt{2} +4\sqrt{2}[/tex]
All are like terms so we add it
[tex]9\sqrt{2}[/tex]
A regular triangle has a perimeter of 51 m. How long is each side?
Please help me
A regular or equilateral triangle has all sides of equal length. The length of each side can be found by dividing the total perimeter by the number of sides. Hence, each side of the triangle is 17 meters long.
Explanation:The question is asking about the sides of a regular triangle, which is another name for an equilateral triangle. In an equilateral triangle, all sides are of equal length. The perimeter of a triangle (or any polygon) is just the sum of the lengths of all its sides. So, if the perimeter of the regular triangle is 51m, that means the total length of all three sides is 51m. Since all three sides are of equal length, we can find the length of each individual side by dividing the total perimeter by the number of sides. In this case, 51m divided by 3 sides equals 17m. Therefore, each side of the regular triangle is 17 meters long.
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If x is a rational number and y is the opposite of x, why do x and y have the same absolute value
Answer:
Absolute value is the distance away from zero, so if x is a rational number and y is opposite, they would both be the same distance away from zero, regardless of their sign.
Step-by-step explanation:
Absolute value is the distance of a number away from zero. For example, if x is equal to the rational number -2, the absolute value of -2 is just 2, given that both 2 and -2 are only a distance of 2 away from the number zero. Think of it as your walk or drive to school. If you live 4 miles from school, you drive a distance of 4 miles there and 4 miles back. That distance is not calculated as a positive 4 miles there and a negative 4 miles back, but rather just 4 miles there and 4 miles back, for a total distance of 8 miles. So, if x=4 and y=(-4), the absolute value of both would be 4.
What is the value of x?
Answer:
They are all 180 degrees
70+30=100
180-100=
Ans:80 Degrees
Step-by-step explanation:
simplify the expression. (3x/y)^-3
a. 27x^3 y^3
b. 27/x^3y^3
c. y^3/27x^3
d. 27x^3/y^3
Answer:
y^3/(27 x^3)
Step-by-step explanation:
Simplify the following:
((3 x)/y)^(-3)
((3 x)/y)^(-3) = (y/(3 x))^3:
(y/(3 x))^3
Multiply each exponent in y/(3 x) by 3:
(y^3)/((3 x)^3)
Multiply each exponent in 3 x by 3:
y^3/(3^3 x^3)
3^3 = 3×3^2:
y^3/(3×3^2 x^3)
3^2 = 9:
y^3/(3×9 x^3)
3×9 = 27:
Answer: y^3/(27 x^3)
Janet’s gross pay is $750, from which $31is deducted for OASDI, $10 for Medicare, and $14 for income tax. What is her net pay?
Answer:
Net pay = $695
Step-by-step explanation:
To find her net pay, we take the gross pay and minus the deductions
Net pay = 750 - 31 - 10 - 14
Net pay = 695
April
has 3 pounds of trail mix she puts equal amounts in each of 8 bags how mush trail mix is in each bag
To solve this, simply divide 8 into 3
8/3=2 2/3
Each person gets 2 2/3 pounds of trail mix.
Answer: 3/8 or 0.375 trail mix is in each bag.
Step-by-step explanation: April has 3 pounds of trail mix. If there are 8 bags, we can divide 3 by 8 to give us how much trail mix is in each bag.
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
Graph 2.
Step-by-step explanation:
When you replace x with x - h, the functions shifts horizontally h units.
Here you are replacing x with x + 4. To write x + 4 in the x - h form, you must write x - (-4) making h = -4. f(x + 4) has a shift of -4 units, or 4 units to the left, compared to f(x).
The function f(x) = x^3 included point (0, 0). It goes up to the right of (0, 0), and down tot eh left of (0, 0).
The answer is graph 2. which shows a shift of 4 units to the left compared with the graph of f(x) = x^3.