On comparison 9 x 10⁴ is a larger number than 3 x 10².
To compare 9 x 10⁴ and 3 x 10², we can compare the coefficients (9 and 3) and the powers of 10 (10⁴ and 10²) separately.
Comparing the coefficients: 9 vs. 3
The coefficient 9 is greater than the coefficient 3. Therefore, 9 x 10⁴ is greater than 3 x 10² in terms of the actual value of the numbers themselves.
Comparing the powers of 10: 10⁴ vs. 10²
The power of 10 in 10⁴ is greater than the power of 10 in 10². A larger power of 10 means the number has more zeros. In this case, 10⁴ has four zeros (10,000), while 10² has two zeros (100).
Since 10⁴ has more zeros than 10², it represents a larger value.
Combining both comparisons:
When comparing the entire numbers, 9 x 10⁴ is greater than 3 x 10². The larger coefficient (9) and the larger power of 10 (10⁴) contribute to its greater value.
In summary, 9 x 10⁴ is a larger number than 3 x 10².
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Hera spent $16 on dinner. Then she spent S6 on dessert and some more on a taxi ride. Including the taxi fare, she spent a total of $31. How much money did Hera spend on the taxi ride? 2. (a) What is the unknown information? (b) Let x represent the unknown information. Write an addition equation that models the problem. (c) Solve the equation. (d) Answer the question PLEASE HELP !!!
A) unknown information is how much she spent on the taxi ride
B) 31 = x +16+6
C ) 31= x +22
x =31-22 = 9
She spent $9 on the taxi
(A) How much money Hera spent on the taxi ride.
(B) 31 = x + 16 +6
(C) 16 + 6 = 22 31 - 22 = 9
(D) She spent $9 on the taxi.
(also sorry im uh 4 years late aldksjfladfoajsdflkj)
She has given recently are different length one is 3 4/5 feet long and the other is 3 1/2 feet long how much would she have to cut so it will be the same length
Final answer:
To make the lengths the same, she would have to cut 0.3 feet from the longer piece.
Explanation:
To find the amount she would have to cut to make the two lengths the same, we need to subtract the smaller length from the larger length.
The first length is 3 4/5 feet, which can also be written as 3 + 4/5 = 3 + 0.8 = 3.8 feet.
The second length is 3 1/2 feet, which can also be written as 3 + 1/2 = 3 + 0.5 = 3.5 feet.
Subtracting the smaller length (3.5 feet) from the larger length (3.8 feet), we get:
3.8 feet - 3.5 feet = 0.3 feet.
So she would have to cut 0.3 feet from the longer piece to make the lengths the same.
is it possible for a 5 digit number to be rounded to a 6 digit number
A post card collector has 1,230 postcards if she displays them on pages that hold 6 cares each how many pages does she need ?
A cross-country skier skied at a rate of 10.82 miles per hour. In 2.45 hours, the skier covered 2.6509 miles.
Is this correct? Explain why or why not.
Answer:
CHEATING
Step-by-step explanation:
becaus eI got it right on egde
The information given that the skier covered 2.6509 miles is wrong because the decimal was wrongly put.
Since the cross-country skier skied at a rate of 10.82 miles per hour, it should be noted that in 2.45 hours, we've to multiply 10.82 miles by 2.45 hours and this will be:
= 10.82 × 2.45
= 26.509 miles
From the information given, we are told that in 2.45 hours, the skier covered 2.6509 miles, this is incorrect as the miles covered is 26.509 miles.
Therefore, information given that the skier covered 2.6509 miles is wrong because the decimal was wrongly put.
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Evaluate the numerical expression
[18 Divided by (2 x 3)] x 4
During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the caterer bring if there are 16 cups in one gallon?
In a grocery store there are 4 self-checkout lines and 8 lines with cashiers. Find the ratio of the number of lines with cashiers to the number of self-checkout lines. Express the answer as a simplified fraction.
Answer: The required simplified fraction is [tex]\dfrac{2}{1}.[/tex]
Step-by-step explanation: We are given that in a grocery store there are 4 self-checkout lines and 8 lines with cashiers.
We are to find the ratio of the number of lines with cashiers to the number of self-checkout lines.
Let n represents the number of lines with cashier and m represents the number of self-checkout lines.
Then, we have
n = 8 and m = 4.
Therefore, the required ratio of the number of lines with cashiers to the number of self-checkout lines is given by
[tex]\dfrac{n}{m}=\dfrac{8}{4}=\dfrac{2}{1}.[/tex]
Thus, the required simplified fraction is [tex]\dfrac{2}{1}.[/tex]
Suppose that a large mixing tank initially holds 700 gallons of water in which 50 pounds of salt have been dissolved. another brine solution is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min. if the concentration of the solution entering is 4 lb/gal, determine a differential equation for the amount of salt a(t) in the tank at time t > 0. (use a for a(t).)
The differential equation for the amount of salt a(t) in the tank at time t > 0 is dA(t)/dt = 12 - 2A(t)/(35 + (3 - 2)t).
Explanation:To find the differential equation for the amount of salt a(t) in the tank at time t > 0, we need to consider the rate of change of the salt concentration in the tank.
Let A(t) represent the amount of salt in the tank at time t. The salt entering the tank each minute is given by the concentration (4 lb/gal) multiplied by the rate of inflow (3 gal/min), which is 12 lb/min.
The salt leaving the tank each minute is given by the concentration in the tank (A(t)/V(t)) multiplied by the rate of outflow (2 gal/min), which is 2A(t)/(35 + (3 - 2)t).
Therefore, the rate of change of the salt in the tank is given by the difference between the rate of inflow and the rate of outflow: dA(t)/dt = 12 - 2A(t)/(35 + (3 - 2)t). This is our differential equation for the amount of salt in the tank.
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Sathish is going on a 200020002000-kilometer road trip with two friends. The car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter. If Sathish and his two friends want to split the cost evenly, how much should they each pay?
First calculate the total amount of liters consumed:
Volume gas consumed = (6 L / 100 km) * 2000 km = 120 L
Then calculate the total cost:
Cost = ($1.20 / L) * 120 L = $144
Since there are three of them, so each must pay:
Payment of each = $144 / 3 = $48 per person
Answer:
$48 per person
If the probability of drawing an ace from a deck of cards is 0.077 and the probability of rolling a "2" using a fair die is 0.167, then the probability of drawing an ace and rolling a "2" is
The probability of drawing an ace and rolling a "2" is 0.012859.
Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that the probability of drawing an ace from a deck of cards is 0.077 and the probability of rolling a "2" using a fair die is 0.167.
The probability of drawing an ace and rolling a "2" is calculated as,
Probability = 0.077 × 0.167
Probability = 0.012959
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If the machine has a probability of failure of 0.01, what is the probability of more than 1 failure occurring in a batch of 20 envelopes?
What number do you subtract from 3 to get 10?
Estimate the quotient 24 3/7÷3 7/13
Ratio of the number of students in art class to the number of students in gym class was 2:7, however art class is small, and gym class is large, students changed for the second semester. Now the students in art class to the number students in gym class is 5:4. If 75 students are in art class in second semester, how many were in art class and gym class first semester?
WILL GIVE THE BRAINLIEST ANSWER!!!
Select the postulate that is illustrated for the real numbers.
25 + 0 = 25
The commutative postulate for multiplication
Multiplication by one
The addition inverse postulate
Commutative postulate for addition
The distributive postulate
Additive identity
The multiplication inverse
I need to know how to solve this in order correctly and the answers well
use order of operations
8^2 = 64
4(64+4*4*8)
4(64+128)
4(192)
768
Yearly homeowner property taxes are figured at a rate of $1.15 tax for every $100 of home value. Find the property taxes on a townhouse valued at $73,000.
To calculate the property taxes on a townhouse valued at $73,000, divide the value by $100 to find the number of $100 increments, and then multiply this by the tax rate of $1.15.
Explanation:To find the property taxes on a townhouse valued at $73,000, we need to calculate the tax amount based on the given tax rate. The tax rate is $1.15 for every $100 of home value.
First, we need to find how many $100 increments are there in the home value.
Divide $73,000 by $100:
$73,000 ÷ $100 = $730
Now, multiply the number of $100 increments by the tax rate:
$730 × $1.15 = $839.50
Therefore, the property taxes on a townhouse valued at $73,000 would be $839.50.
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two stores sell the same refrigerator for the same original price. Store A advertises that the refrigerator is on sale for 15% off the original price. Store B advertises that it is reducing the refrigerator’s price by $150. When Stephanie compares the sale prices of the refrigerator in both stores, she concludes that the sale prices are equal.
Let p represent the refrigerator’s original price.
Which equation models this situation?
since the refrigerator is 15% off
it is selling at 100%-15% = 85% of the original value
85% = 0.85
so 0.85Pis one price
other store is selling at p-150
so 0.85p = p-150
Simplify (3a^3 b^3)(4ab^2)^2
Write a pair of numbers such that the value of the 7 in the first number is 1,000 times the value of the 7 in the second number, and the value of the 3 in the first number is 100 times the value of the 3 in the second number
Caecillia can run 3 over 20 of a Marathon in 2 over 3 of an hour compute the unit rate
the tangent line to the curve y=x^3-6x^2-34x-9 has slope 2 at two points on the curve. find the two points
To find the two points where the tangent line to the curve y=x^3-6x^2-34x-9 has a slope of 2, we need to find the derivative of the function and set it equal to 2. The two points are (2, f(2)) and (6, f(6)), where f(x) = x^3-6x^2-34x-9.
Explanation:To find the two points where the tangent line to the curve y=x^3-6x^2-34x-9 has a slope of 2, we need to find the derivative of the function and set it equal to 2.
First, we find the derivative of the function:
dy/dx = 3x^2 - 12x - 34
Next, we set the derivative equal to 2 and solve for x:
3x^2 - 12x - 34 = 2
3x^2 - 12x - 36 = 0
Using the quadratic formula, we find the solutions for x:
x = (-b ± √(b^2 - 4ac))/(2a)
Substituting the values a = 3, b = -12, and c = -36 into the quadratic formula, we get:
x = (-(-12) ± √((-12)^2 - 4(3)(-36)))/(2(3))
x = (12 ± √(144 + 432))/6
x = (12 ± √(576))/6
x = (12 ± 24)/6
x = 12/6 ± 24/6
x = 2 ± 4
So the two points where the slope of the tangent line is 2 on the curve are (2, f(2)) and (6, f(6)), where f(x) = x^3-6x^2-34x-9.
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How does writing 3.441 in expanded form show why the same digit can have different values?
Writing 3.441 in expanded form shows that each digit represents a different value depending on its place in the decimal number. This is determined by the power (exponent) of 10 corresponding to the decimal shift from the right side of the digit. This understanding is essential for scientific notation and handling large and small numbers.
Explanation:Writing the number 3.441 in expanded form helps to clarify why the same digit can possess different values based on its position in the decimal number. To write 3.441 in expanded form we break it down into the addition of its respective place values, like this:
3.441 = 3 x 1 + 0.4 x 1/10 + 0.04 x 1/100 + 0.001 x 1/1000.
As we can see, each digit represents a different value based on its placement. This is determined by the power (exponent) of 10 which is equal to the number of places the decimal is shifted from the right side of the digit. This method is also applicable to scientific notation, transforming both very large and very small numbers into more manageable expressions for calculations.
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The apartments in Ericas apartment house are consecutively numbered on each floor. The sum of her and next door neighbor's number is 2409. What are the two numbers?
there are 2 aircraft carriers , A&B, and carrier a is longer in length than carrier B. The total length of these 2 carriers is 4,198 ft, while the differences of their lengths is only 10ft. Find the length of each carrier
Carrier A is 2104 feet long and carrier B is 2094 feet.
Explanation:This problem can be solved using simple algebra. Let's denote the length of carrier A as 'a' and the length of carrier B as 'b'. We know two things about these lengths from the question:
The sum of the lengths is 4198 feet, hence: a+b=4198Carrier A is longer by 10 feet, hence: a-b=10Now, you can add these two equations together to eliminate 'b'. This will give: 2a=4208. Hence, by dividing by 2, you will find that a=2104. Now, substitute a=2104 back into the first equation: a+b=4198. This will give: 2104+b=4198, which simplifies to b=2094. So, the length of carrier A is 2104 feet and the length of carrier B is 2094 feet.
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Ten subtracted from seven times a number is 25 what is the number ?
The entrance of a cave is at an elevation of 14 meters. The lowest part of the cave is at an elevation of negative 86. Write an integer to represent the elevation of the entrance to the cave.
i need help plez and thanks
a line and a point are ________ coplanar.
a. always
b. sometimes
c. never
Answer:
A. always
Step-by-step explanation:
parallel lines are always going to be coplanar