For what value of a will 8×103 be 40 times larger than a×102?
ok i got the answers if you guys want them
2
1.15741 * 10^-5
27,000,000
8.9987 * 10^7
2.3 * 10^-8 ; 3.2 * 10^-10 ; 2.3 * 10^-10 ; 2.3 * 10^-12
4.39814 * 10^2 days
2.62 * 10^6
9.3
4.79 * 10^-3
1.9823 * 10^-3
6.08 * 10^12
1.2 * 10^4
4.3 * 10^3
3 * 10^-3
yw :)
To find the value of a, we can set up an equation using the given information.
We are given that 8×10^3 (8000) is 40 times larger than a×10^2 (100a). In other words, 8000 is equal to 40 times 100a.
We can write this equation as:
8000 = 40(100a)
Simplifying the equation, we get:
8000 = 4000a
Dividing both sides of the equation by 4000, we find:
a = 2
Therefore, for a value of 2, 8×10^3 (8000) will be 40 times larger than a×10^2 (200).
Janiya found that her playlist will play for 3.8×102 seconds, 6.3¯¯¯ ×105minutes, 1.05¯¯¯¯¯ ×104 hours, or 4.39814¯¯¯¯¯¯¯¯¯¯¯¯ ×102 days. Which answer uses the most appropriate units?(1 point)
Responses
3.8×107 seconds
3.8 times 10 superscript 7 baseline seconds
4.39814¯¯¯¯¯¯¯¯¯¯¯¯ ×102 days
4 point modifying above 39814 with bar times 10 squared days
1.05 ¯¯¯¯¯¯ ×104 hours
1 point modifying above 05 with bar times 10 superscript 4 baseline hours
6.3¯¯¯ ×105 minutes
To find the distance from Earth to the sun, we need to add the distance from Venus to the sun (67,000,000 miles) to the distance Earth is farther (2.6×10^7 miles).
Therefore, we can calculate the distance using the following equation:
Distance from Earth to the sun = Distance from Venus to the sun + Distance Earth is farther
Distance from Earth to the sun = 67,000,000 miles + 2.6×10^7 miles
Adding the values, we get:
Distance from Earth to the sun = 67,000,000 miles + 2.6×10^7 miles = 93,000,000 miles
Therefore, the distance from Earth to the sun is 9.3×10^7 miles, expressed in scientific notation to 1 decimal place.
To calculate how much heavier a grain of rice is than a strand of hair, we need to subtract the mass of the hair from the mass of the rice.
Grain of rice mass = 0.002 ounces
Strand of hair mass = 2.17×10^(-5) ounces
Subtracting the two masses:
0.002 ounces - 2.17×10^(-5) ounces = 0.0019823 ounces
To express the result in scientific notation, we need to write 0.0019823 as a number between 1 and 10, multiplied by a power of 10.
0.0019823 can be written as 1.9823×10^(-3).
Therefore, a grain of rice is approximately 1.9823×10^(-3) ounces heavier than a strand of hair.
To calculate how many miles light travels in a year, we need to multiply the speed of light (1.9×10^5 mi./sec) by the number of seconds in a year (3.2×10^7 seconds).
Using scientific notation, we proceed with the calculation:
(1.9×10^5 mi./sec) × (3.2×10^7 seconds) = 6.08×10^12 mi.
Therefore, light travels approximately 6.08×10^12 miles in a year.
To calculate how many meters the tectonic plate would move in 2×10^6 years, we need to multiply the average rate of movement (0.006 m/year) by the number of years (2×10^6 years).
Using scientific notation, we can perform the calculation:
(0.006 m/year) × (2×10^6 years) = 1.2×10^4 m
Therefore, the tectonic plate would move approximately 1.2×10^4 meters in 2×10^6 years.
r they right
idk
To convert the temperature of the sun's center from scientific notation to decimal notation, we need to multiply 2.7 by 10 raised to the power of 7.
Therefore, 2.7 × 10^7 can be written in decimal notation as 27,000,000.
Use scientific notation to determine which of these numbers has the least value: 98,789,000; 987,890,000; or 89,987,000. Write your answer in scientific notation, expressed to the exact decimal place.
The answer that uses the most appropriate units is:
6.3¯¯¯ × 10^5 minutes.
In this case, minutes are a more appropriate unit since it is a common unit for measuring the duration of playlists or songs. The other options (seconds, hours, and days) are either too small or too large for typical playlist durations.
To find out how many square miles will be in each garden, we need to divide the total area of the field (3.9 mi^2) by the number of family gardens (1.3×10^3).
Using scientific notation, we can perform the calculation:
3.9 mi^2 / (1.3×10^3 gardens) = 3×10^(-3) mi^2
Therefore, there will be approximately 3×10^(-3) square miles in each garden.
One second is approximately 0.0000115741 of a day. What is this number in scientific notation?
The temperature of the sun at its center is about 2.7×107 degrees Fahrenheit. What is this temperature written in decimal notation?
To determine which of these numbers has the least value, we need to compare their coefficients.
Converting the given numbers to scientific notation:
98,789,000 = 9.8789 × 10^7
987,890,000 = 9.8789 × 10^8
89,987,000 = 8.9987 × 10^7
Comparing the coefficients, we see that 8.9987 × 10^7 has the smallest value.
Thus, 89,987,000 written in scientific notation, expressed to the exact decimal place, is 8.9987 × 10^7.
Place the numbers in descending order.
2.3 × 10−10; 3.2 × 10−10; 2.3 × 10−12; 2.3 × 10−8
To place the numbers in descending order, we need to compare their exponents first.
2.3 × 10^(-12) has the smallest exponent and will be the largest number.
Next, we compare the coefficients for the remaining numbers with the same exponent.
3.2 × 10^(-10) has a larger coefficient than 2.3 × 10^(-10), so it will come next.
Finally, 2.3 × 10^(-8) will be the smallest number since it has the largest exponent.
Therefore, the numbers in descending order are:
2.3 × 10^(-12)
3.2 × 10^(-10)
2.3 × 10^(-10)
2.3 × 10^(-8)
A national park covers an area of 1.42×106 acres. A nearby national forest covers an area of 1.2×106acres. What is the total number of acres in the park and the forest combined?(1 point)
Responses
2.62×1012
2.62 times 10 superscript 12 baseline
1.54×106
1.54 times 10 superscript 6 baseline
2.62×106
2.62 times 10 superscript 6 baseline
15.5×106
To find the total number of acres in the park and the forest combined, we add the areas of the national park and the national forest.
National Park area = 1.42×10^6 acres
National Forest area = 1.2×10^6 acres
Adding these values, we get:
1.42×10^6 + 1.2×10^6 = 2.62×10^6
Therefore, the total number of acres in the park and the forest combined is 2.62×10^6.
The distance from Venus to the sun is about 67,000,000 miles. The distance from Earth to the sun is about 2.6×107 farther. What is the distance from Earth to the sun? Write your answer in scientific notation to 1 decimal place.
Calculate 4.8×10−3−9.4×10−6. Express the answer in scientific notation rounding to 2 decimal places
To subtract the given numbers in scientific notation, we need to have the same exponent. In this case, we need to convert 9.4×10^(-6) to 4.8×10^(-3)'s exponent by multiplying it by 10^3:
4.8×10^(-3) - 9.4×10^(-6) can be written as 4800×10^(-6) - 9.4×10^(-6).
Performing the subtraction:
4800×10^(-6) - 9.4×10^(-6) = (4800 - 9.4)×10^(-6).
Evaluating the subtraction:
4780.6×10^(-6).
To round the answer to two decimal places, we consider the first two digits after the decimal point, which are 0 and 6. Since 6 is larger than or equal to 5, we round up the 0 to 1 and discard the 6.
Therefore, the final answer, expressed in scientific notation and rounded to two decimal places, is 4.78×10^(-3).
A strand of hair has an average mass of 2.17×10−5 ounces. A grain of rice has an average mass of 0.002 ounces. How much heavier is a grain of rice than a strand of hair? Express your answer in scientific notation.
Light travels at an approximate rate of 1.9×10^5 mi./sec. There are about 3.2×10^7 seconds in a year. About how many miles does light travel in a year? Write the answer in scientific notation. Express the answer to the exact decimal place.
Question
The average tectonic plate moves at the rate of 0.006 m per year. How many meters would it move in 2×10^6 years? Write the answer in scientific notation, expressed to the exact decimal place
An asteroid is heading toward Mars at the rate of 7.7×10^4 mi./hr. If the asteroid is 3.311×10^8 miles away from Mars, how many hours will it be before it hits Mars? Write the answer in scientific notation, expressed to the exact decimal place.(1 point)
A field of 3.9 mi^2 is being subdivided into 1.3×10^3 family gardens. How many square miles will there be in each garden? Write the answer in scientific notation.
im gonna check
To express the number 0.0000115741 in scientific notation, we move the decimal point 7 places to the right to obtain 1.15741. Then, we multiply this number by 10 raised to the power of -7, since we moved the decimal point 7 places to the right.
Therefore, 0.0000115741 can be written in scientific notation as 1.15741 × 10^-7.
To calculate how many hours it will take for the asteroid to hit Mars, we need to divide the distance between the asteroid and Mars (3.311×10^8 miles) by the rate of the asteroid (7.7×10^4 mi./hr).
Using scientific notation, we can perform the calculation:
(3.311×10^8 miles) / (7.7×10^4 mi./hr) = 4.2948×10^3 hr
Therefore, it will take approximately 4.2948×10^3 hours for the asteroid to hit Mars.