The given expression is:
(23^20-53^19)/(-9)^9
This is a mathematical expression that involves multiple operations. The first step is to understand the order of operations, or PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction)
Parentheses: The expression does not contain any parentheses, so we can move on to the next step.
Exponents: The first term, 23^20, contains an exponent. The exponent operator (^) has higher precedence than the multiplication operator (), so we will simplify the exponent first. 3^20 is equal to 3 raised to the power of 20, which is equal to 3 * 3 * 3 * ... * 3 (20 times) = 59,049. Therefore, the first term is now 2 * 59,049.
The second term 5*3^19 also contains an exponent, so we simplify it in the same way as the first term. 3^19 is equal to 3 * 3 * 3 * ... * 3 (19 times) = 7,29,043. Therefore, the second term is now 5 * 7,29,043.
Multiplication and Division: After simplifying the exponents, we can see that the expression contains both multiplication and division. Since division has the same precedence as multiplication, we can simplify the expression from left to right.
The first term 2 * 59,049 is the product of 2 and 59,049. Multiplying these two numbers gives us 118,098.
The second term 5 * 7,29,043 is the product of 5 and 7,29,043. Multiplying these two numbers gives us 36,45,215.
The third term is the division of two terms. We have (23^20-53^19) / (-9)^9
Subtraction : Now we have the subtraction of two terms (118,098 - 36,45,215)
Now we have the division of two terms (-35,27,117) / (-9)^9. In this step, we are dividing the subtraction with -9 raised to the power of 9
The final step is to simplify the division. -9^9 is equal to -9 * -9 * -9 * -9 * -9 * -9 * -9 * -9 * -9 = -3486784401.
So the final expression is -35,27,117/-3486784401.
The expression is a very large negative number divided by a very large negative number, which results in a very small positive number.
A company estimates that 0.5% of their products will fail after the original warranty period but within 2 years of the purchase, with a replacement cost of $200.
If they offer a 2 year extended warranty for $11, what is the company's expected value of each warranty sold?
Answer:
The company is expected to make [tex]\$ 1[/tex] on every extended warranty sold.
Step-by-step explanation:
Let [tex]X[/tex] denote whether a product with the extended warranty requires replacement in that two years. ([tex]X\![/tex] would be a random variable.) Assume that [tex]X = 1[/tex] means that the product requires replacement, and [tex]X = 0[/tex] otherwise.
Assume that this product requires replacement in that two years. That is: [tex]X = 1[/tex]. The company would then bear a cost of [tex]200 \times 1 =200[/tex] for replacing this product (since [tex]X = 1\![/tex], that cost would be the same as [tex]200 = 200 \times 1 = 200\, X[/tex].)
On the other hand, assume [tex]X = 0[/tex] (that is: this product does not require replacement in that two years.) The company would not need to pay for replacing this product. Since [tex]X = 0\![/tex], the expression [tex]200\, X[/tex] would still represent the cost for the company for this warranty.
Either way, [tex]200\, X[/tex] would denote the replacement cost that the company would bear for this product. However, given that the company would charge [tex]\$ 11[/tex] for the extended warranty, the net revenue of the company on this warranty would be [tex]((-200) \, X + 11)[/tex]. (An earning of [tex]\$11 \![/tex] minus a spending of [tex]200\, X \![/tex].)
The question states that [tex]0.5\%[/tex] of the products would need replacement in this period. In other words, the expected value of [tex]X[/tex] would be [tex]\mathbb{E}(X) = 0.005[/tex].
The expected revenue of the company on this warranty would be:
[tex]\mathbb{E}(200\, X + 11)[/tex].
Apply the linearity of expected values to find the value of [tex]\mathbb{E}(200\, X + 11)[/tex]:
[tex]\begin{aligned}& \mathbb{E}((-200)\, X + 11) \\ &= (-200)\, \mathbb{E}(X) + 11 \\ &= (-200) \times 0.005 + 11 = 1\end{aligned}[/tex].
Hence, the company is expected to make [tex]\$ 1[/tex] on every extended warranty that it sold.
If y varies directly as x and y =6 when x =2 ... find y when x=9
Answer:
27
Step-by-step explanation:
y = kx, where k is the constant of proportionality. If x = 2 and y = 6, that constant is determined as follows:
6 = k(2), or k = 3. Then y = 3x. When x = 9, y = 27
Given the equation of a line: y = 3x - 7. Select the equation of the line PERPENDICULAR to this line
Options:
y = (1/3)x + 1/7
y = -3x + 7
y = (-1/3)x - 7
y = 3x + 2
Answer:
The third option, y=(-1/3)x-7
Step-by-step explanation:
To find a line perpendicular to an equation, you find the negative reciprocal of the slope. For instance, if you have an equation y=4x+5, the negative reciprocal is y=(-1/4)x+5. That is the equation to find a line perpendicular to this.
If you want to find a line parallel to the equation y=4x+5, all you have to do is come up with another equation that has the same slope. So, y=4x+8 would be a line parallel to the equation y=4x+5.
Which expression is equivalent to 9+24
Answer:
which expresión is equivalent to 9+24
how do i answer this question?
Answer:
Your answer
X = 3
Y = -3
Mark it as Brainlist answer. Follow me for more
Step-by-step explanation:
Carla draws two rectangles.
One of the rectangles has an area of 35 square inches.
The other has a perimeter of 20 inches
Select the two rectangles that could be the rectangles Carla draws
A rectangle with a width of 2 inches and a length of 6 inches
A rectangle with a width of 2 inches and a length of 8 inches
A rectangle with a width of 4 inches and a length of 6 inches
A rectangle with a width of 5 inches and a length of 7 inches
A rectangle with a width of 6 inches and a length of 10 inches
Answer:
A rectangle with a width of 5 inches and a length of 7 inches.
A rectangle with a width of 4 inches and a length of 6 inches
Step-by-step explanation:
Roberto brought 413 boxes of carrot muffins for a bake sale. Jose brought 3 34 boxes of apple muffins.
What is the total number of muffin boxes Roberto and Jose brought to the bake sale? Enter your answer in simplest form.
The total number of boxes brought to the bake sale is _______________.
A. 7 13/12
B. 8 5/12
C. 1/12
D. 8 1/2
In which step did Viet make an error?
Answer:
Step 1
Step-by-step explanation:
When moving the 4 to the other side, Viet was supposed to subtract 4 from each side, leaving 0 on the left, and 102-4 on the other side. 102-4=98, not 106. Viet added when he was supposed to subtract.
15. 2002 Dünya Kupası Futbol Turnuvası'na katılacak Türkiye Milli Takımı'na destek olmak için taraftar gruplan asagidak
görsellerdeki gibi 2 farklı atkı modell tasarlıyor.
Kirmizi
Görsel 1
Kim
Beyaz
C*
120 cm
C
Kimizi
Beyaz
Görsel 2
120 cm
Görsel 1'deki atlanın uçlarındaki kırmızı bölgelerin toplam uzunluğu atkının uzunluğunun 'si olarak tasarlanmıştır.
5
Görsel 2'deki atkinin beyaz, diğer kısmı kırmızı renk olarak tasarlanmıştır.
2
Buna göre atkılardaki toplam kirmizi bölgelerin toplam uzunluğu kaç santimetredir?
108
D) 72
C) 60
D) 48
ARGON SERİSİ
Answer:
d)
Step-by-step explanation:
İnşallah tutar iyi dersler Gold bye
Answer:
cevap 108 tamam sorun harika bir soru
Dhanu has a model railway.
(a) He has a train that consists of locomotive and 4 coaches. The mass of the locomotive is 87 g
and the mass of each coach is 52 g.
i) Work out the total mass of the train.
9. Sarah has to create a floral arrangement out of twigs and flowers that has a total of 9 objects. She has to
pay $1 for each twig she uses and $3 for each flower. If she spent $15 on the arrangement, how many
twigs and flowers did she buy?
Answer:
tu debes de saber por qué si yo lo sé tú también no es verdad
Write the equation for the perpendicular bisector of a segment that has endpoints (1, –4) and (3, 2).
Answer:
y = -⅓x-⅓
Step-by-step explanation:
Michael needs to save a 15 percent down payment for a car he wants to buy. He knows that cars of this make and model tend to sell for about $19,000. How much will he need to save?
Answer:
15 minutes or less can save you 15% or more on car insurance
Step-by-step explanation:
Gieko
Which line is the graph of y = -2 x + 2?
Step-by-step explanation:
Does this graph help?
The length of a rectangle is 2 inches more than twice its width. Write an equation relating the length / of the rectangle to its width w.
Answer:
l = 2w + 2 would be the equation
Multiply the following using the vertical multiplication method:
x² + 5x+1
x3x2 - 2x + 4
Evaluate (8+2)³-6?
Please help
Answer:
994 :)
Step-by-step explanation:
PEMDAS
(8+2)^3 - 6
(10)^3 = 10 x 10 x 10
1,000 - 6
994
Find the perimeter of the figure.
9 ft
9 ft
9 ft
9 ft
30 ft
perimeter:
ft
Answer: 66
Step-by-step explanation: 9+9=18 18+9+9= 36+30=66
A recipe for one batch of cookies uses 5 cups of flour and 2 teaspoons of vanilla.
Complete the double number line diagram to show the amount of flour and vanilla needed for 1, 2, 3, 4, and 5 batches of cookies.
If you use 20 cups of flour, how many teaspoons of vanilla should you use?
If you use 6 teaspoons of vanilla, how many cups of flour should you use?
Explain how you would determine how much flour and vanilla would be needed for 9 batches of this cookie recipe.
Answer:
8 teaspoons of vanilla
15 cups of flour
Step-by-step explanation:
Since 20 is 4 x 5
And the flour and vanilla has to be proportionate, You also have to multiply 2 tablespoons of vanilla by 4
4 x 2 = 8
Same with the last question
The komodo dragon are the biggest and heaviest lizards on earth. Full grown adults can reach 2.8 meters long and weigh more than 300 pounds! What is the length of the komodo dragon in centimeters? A) 28 cm B) 280 cm C) 2800 D) 28000
Answer:
280 cm
Step-by-step Explanation
The Komodo dragon 2.8 meters long and weigh more than 300 pounds, the length of the Komodo dragon in centimeters is, 280. So Option B is correct
What are Units ?To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple. Depending on their intended usage, different units can be categorized.
For example, for length measurement we use units like:- meter, centimeter, inch, miles.
Given that,
The Komodo dragon are the biggest and heaviest lizards on earth
Full grown adults can reach 2.8 meters long and weigh more than 300 pounds
The length of the Komodo dragon in centimeters = ?
Assume, Komodo is fully grown
So, the length of the Komodo = 2.8 meter
It is known that,
1 meter = 100 centimeter
Now,
2,8 meter = 2.8 × 100 centimeter
= 280 centimeter
Therefore, the length in centimeter is 280
To know more about Units check:
https://brainly.com/question/30168372
#SPJ6
HELPP I NEED THIS BY 2:30
The second angle of a triangle is 7 more than twice the first angle. The third angle is 3 less than the first. Find all
three angles if the sum of their angles is equal to 180°. (Let x = the measure of the first angle)
Answer:
44, 95, and 41
Step-by-step explanation:
[tex](x) + (2x +7)+(x-3)=180\\4x +4 = 180\\4x = 176\\x = 44[/tex]
In need of help thanks
Step-by-step explanation:
x = 20
y = 25
z = 24
plz mark my answer as brainlist plzzzz vote me also.
hope this will be helpful to you .
Answer:
x = 20
y = 25
z = 24
Step-by-step explanation:
2y + 10 = 60
2y = 50
y = 25
2y + 10 = 3x
but y = 25
=> 50 + 10 = 3x
3x = 60
x = 20
5z + 3x = 180
but x = 20
5z + 60 = 180
5z = 120
z = 24
please give me brainlist if it is helpful for you
Is the area of a room measured in cm2 or m2
Answer:
m² would be the best unit if you want to measure a room.
Step-by-step explanation:
The unit cm² is too small and would be less exact.
2,5 1,3. 9,20. 13,30.
Answer:
13/10 < 25/10 < 92/10 < 133/10
Step-by-step explanation:
13/10 is less than 5/2 is less than 46/5 is less than 133/10
Pls help me with this question thanks
Answer:
7 Hours
Step by Step:
150 pages divided by 25 page per hour is 7 Hours
If we do 150/25 we have 7 which is the answer
hi please help me with this i’ll give brainliest if you give a correct answer
Answer:
Step-by-step explanation:
a) PR=SU
b) PQ=TU
c) RQ=TS
Answer:
<P = <U
PQ = TU
<T = <U
Step-by-step explanation:
Sides can be shown to be congruent through tic marks. If two lines have the same number of tic marks then they are congruent. PQ and TU both have one, therefore they are congruent.
Angles are shown to be congruent through arcs. If two angles have the same numbers of arcs then they are congruent. <P and <Q both have two and <T and <U both have one. So they are congruent.
Al simplificar la fraccion 150/600 a su mínima expresión se obtiene 15/6
Answer:
cierto
Step-by-step explanation:
find the sum of 3/4 and 5/7.
Answer:
3/4 or in mixed number 1 13/28
Step-by-step explanation:
On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.
Let I = the event that a player is an infielder.
Let 0 = the event that a player is an outfielder
Let H = the event that a player is a great hitter.
Let N = the event that a player is not a great hitter.
Write the symbols for the probability that of all the great hitters, a player is an outfielder.
Answer:
P(H | I)
Step-by-step explanation:
Given that
Some players considered to be great hitters and some would be not great htters
So based on the symbols given in the question
For all the great hitters a player would be an outfielder
For this the symbol is
P(H | I)
The probability that of all the great hitters, a player is an outfielder will be [tex]P(O\cap H)[/tex].
Given information:
On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.
Lets assume,
I = the event that a player is an infielder. 0 = the event that a player is an outfielder. H = the event that a player is a great hitter. N = the event that a player is not a great hitter.It is required to write the probability that of all the great hitters, a player is an outfielder.
It is required that the player should be outfielder and hitter both.
So, the required probability can be written as,
[tex]P(O\cap H)[/tex]
Therefore, the probability that of all the great hitters, a player is an outfielder will be [tex]P(O\cap H)[/tex].
For further details refer the given link:
https://brainly.com/question/795909
Decide if the following is a true or false statement - explain how you know
1.5 + (-1.5) is equal to zero
Answer:
yes it's zero when measured from -1.5 and +1.5 to zero the distance is zero