the scientific notation is just another mumble jumble way to write the same thing without so many repetitive zeros, so hmmm 780000 has 4 zeros, so what we do is we can say
78 and 4 zeros following it
or we can say
78 * 10⁴, if we get that product, is 780000
in scientific notation, we only leave one digit to the left of the decimal point
so the same thing above can be written as
78 * 10000, can be written as 78.0 * 10000
or as
7.8 * 100000
or as
0.78 * 1000000
check their product
7.8 * 100000, is really just 780000
because we moved the decimal to the left one more slot, it
became 7.8 * 100000
or in
scientific notation, 7.8 ⨉ 10⁵Answer:
780,000 [tex]=7.8 * 10^5[/tex]
Step-by-step explanation:
Don't worry! I hope you do great on your finals, goodluck<3.
What is scientific notation?It's a way of expressing numbers that are either too large or too small.The formula for scientific notation is written as shown below:[tex]a * 10^{b}[/tex]
Variable A represents a number thats absolute value has to be greater than or equal to 1 and less than 10. This is represented below
1 ≤ | a | < 10
Therefore we know that 780,000 will be 7.8, because it is greater than 1 and less than 10 as well can still represent our original number.
[tex]7.8 * 10^b[/tex]
Assuming you know how powers work, if not I'll go over them very quickly.
What is an exponent?An exponent(also called a power or indices) is a tells you how many time you are going to use the number in multiplying a number by itself.For example 8² = 8 * 8, 8³ = 8 * 8 * 8.
To find what the exponent will be is pretty simple, you take 780,000 and identify what place our number is in.what I mean by this is if its in, tenths, hundreths, thousands, 10 thousands..
It's pretty obvious that our number is in the 100 thousands place.
Now if you know you're powers pretty well, this will be easy, although let me try to walk you through it if not.
remember the equation:
[tex]7.8 * 10^b[/tex]
We are trying to find b.
10 to what power is equal to 100,000
[tex]10^{1} = 10, 10^{2} = 100, 10^3 = 100, 10^{3} = 1,000, 10^4 = 10,000, 10^5 = 100,000[/tex]
How I like to remember what a power equals is counting the 0's :)
How we know if our answer is correct is plugging it into our equation and solve:
[tex]7.8 * 10^5[/tex]
We know that 10 to the power of 5 equals 100,000.
[tex]7.8 * 100,000[/tex]
and using a calculator, or mental math, or doing it the old fashion way, we know that 7.8 * 100,000 is equal to 780,000
There are 20 angelfish in a pet store. The fish are placed
into 5 tanks with the same number of fish in each tank.
How many fish are in each tank?
Answer:
4 fish in each tank.
Step-by-step explanation:
20/5 = 4
What is the absolute value of the complex number -4-√2i?
A.√14
B.3√2
C.14
D.18
PLEASE HELP
Answer: Choice B. 3√2
This is the same as writing 3sqrt(2) or [tex]3\sqrt{2}[/tex]
===========================================================
Reason:
For any complex number of the form [tex]z = a+bi[/tex], the absolute value or magnitude of it is [tex]|z| = \sqrt{a^2+b^2}[/tex]
In this case, we have [tex]a = -4 \text{ and } b = -\sqrt{2}[/tex]
So,
[tex]|z| = \sqrt{a^2+b^2}\\\\|z| = \sqrt{(-4)^2+(-\sqrt{2})^2}\\\\|z| = \sqrt{16+2}\\\\|z| = \sqrt{18}\\\\|z| = \sqrt{9*2}\\\\|z| = \sqrt{9}*\sqrt{2}\\\\|z| = 3\sqrt{2}\\\\[/tex]
If we formed a segment with the endpoints [tex](0,0) \text{ and } (-4, -\sqrt{2} )[/tex], then that segment will have length of the value mentioned above.
Side note: This formula or concept is related to the pythagorean theorem.
The volume of a cylinder is 20 ft3. which expression represents the volume of a cone with the same base and height as the cylinder? startfraction 2 over 30 endfraction feet cubed startfraction 20 over 3 endfraction feet cubed 3 (20) feet cubed startfraction 20 squared over 3 endfraction feet cubed
The expression that represents the volume of a cone with the same base and height as the cylinder is 1/3 * 20
How to determine the volume of the cone?The volume of the cylinder is given as:
V = 20
The volume of the cone is 1/3 of the volume of the cylinder.
So, we have:
v = 1/3 * V
Substitute 20 for V
v = 1/3 * 20
Hence, the expression that represents the volume of a cone with the same base and height as the cylinder is 1/3 * 20
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Answer:
B
Step-by-step explanation:
Hope this helps B)
A rectangular prism is 6.9 centimeters long and 1 centimeter wide. It’s volume is 21.39 cubic centimeters. What is the height of the rectangular prism? (will mark brainliest)
The height of the rectangular prism is 3.1
[tex]6.9x=21.39[/tex]
[tex]21.39[/tex] ÷ [tex]6.9=3.1[/tex]
Sure hope this helps
Type the correct answer in the box. burning one gallon of gasoline releases 20 pounds of co2 into the air. harry’s compact car can travel 25 miles on one gallon of gas. if harry drives 15,000 miles in a year, his vehicle will add pounds of co2 to the atmosphere.
The amount of co2 that Harry's vehicle would release to the atmosphere in a year is 12,000 pounds.
What is the amount of co2 that would be released?The first step is to determine the gallons of gasoline that the car would need in a year: 15,000 / 25 = 600 gallons
The second step is to determine the total emissions when the car uses 600 gallons: 600 x 20 = 12,000 pounds
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Someone pls help me
Answer:
197.92034
Step-by-step explanation:
V=πr2h=π·32·7≈197.92034
A circular plate has circumference 20.7 inches. What is the area of this plate? Use 3.14 for a.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)
Answer:
34 in²
Step-by-step explanation:
20.7 / 3.14 = 6.592 = diameter
6.592 / 2 = 3.296 = radius
3.296²(3.14) = 34.1
≈ 34 in²
I don’t know how to figure this question out I need help I need the steps to this
Answer:
19.5625
Step-by-step explanation:
To find the mean, you add all of your values together and divide by the number of values you have.
Here are the values in the dot plot listed:
12, 12, 15, 15, 15, 15, 16, 18, 20, 20, 22, 25, 25, 25, 29, 29
To find the mean:
(12 + 12 + 15 + 15 + 15 + 15 + 16 + 18 + 20 + 20 + 22 + 25 + 25 + 25 + 29 + 29)/16 = 19.5625
What is the slope of the line passing through (5, 5) and (-4, 5)?
Please awnser :))))))))
Answer:
See figure below.
Step-by-step explanation:
Since the dilation is 1/5 with respect to the origin, divide each x- and y-coordinate by 5 to find the new points. Then plot them. See figure below.
Solve pls i give brainlist to correct answer.
Answer:
Maggie can run faster by 0.85 minutes.
Maggie runs in 5.20 minutes, Olivia runs in 4.35 minutes.
Step-by-step explanation:
Maggie = can run a mile in 5.2 minutes (1.3/0.25)
Olivia = can run a mile in 4.35 minutes (2.9/0.666666667)
5.2-4.35= 0.85 minutes
I need help! Math isn’t my best subject
Answer:
A and c
Step-by-step explanation:
multiply the 3 to both parts of equation
Answer:
it's A and C, multiply 3 with 3x and 4y
Write the following without the absolute value sign: |a^3|, if a<0
Answer:
the answer will be the number 8
Nevaeh leans a 22-foot ladder against a wall so that it forms an angle of 64 degrees with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundreth of a foot if necessary
Answer:
19.77 ft
Step-by-step explanation:
The ladder is the hypotenuse of a right triangle ....one leg is the house , the other leg is the ground.
sin 64 = opposite/hypotenuse = height /22
sin 64 = height / 22
22 * sin 64 = height = 19.77 ft
Supply the missing number in the sequence: 10,11,12,13,14,15,16,17,18,19,20,22,24, _, 100, 121, 10,000
The missing number in the sequence is 31
How to complete the sequence?The sequence is given as:
10,11,12,13,14,15,16,17,18,19,20,22,24, _, 100, 121, 10,000
The above sequence is a base 16-n sequence numbers
In base 16-n, the next number after 24 is 31
So, the complete sequence is:
10,11,12,13,14,15,16,17,18,19,20,22,24, 31, 100, 121, 10,000
Hence, the missing number in the sequence is 31
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A men's basketball coach would like to know if there is a relationship between how tall a player is and how high he
can jump. complete the statement based on the information.
in this situation, height is the
y and how high he can jump is the
Answer:
Explanitory
Response
Step-by-step explanation:
edge
Solve simultaneously:
x-4y=1
6y=x-2
Answer:
separate : x-4y=1
= x-2y = 10
the other one: x = 6y + 2
togetehr : x = -1 , y = -1/2
step-by-step explanation:
i don't know if they're together so ima give you the answer for them if they are and just separte answers
A rectangle has a length represented by the function f(x) and a width represented by g(x).
Which statement describes the combined functions P(x) and A(x)?
O A(x) is linear, but P(x) is not.
OP(x) is linear, but A(x) is not.
O Both P(x) and A(x) are linear.
O Neither P(x) nor A(x) are linear.
Answer:
the statement that combines the functions is P(x)
4. Tyrone needs to save $100 to pay for his trip to
New York. He earns money delivering pizzas.
He has already saved $45.50
He makes $9.25 an hour delivering pizza.
How many hours must Tyrone work to have at least
$100 saved?
Answer:
6 hours
Step-by-step explanation:
Subtract saved amount from required amount :
$100 - $45.50 $54.50Divide by the pay rate :
$54.50 / $9.255.89 ≅ 6Tyrone must work at least 6 hours to have $100 saved.
ou toss a coin (heads or tails), then spin a three-color spinner (red, yellow, or blue). Complete the tree diagram, and then use it to find a probability.
1. Label each column of rectangles with "Coin toss" or "Spinner."
2. Write the outcomes inside the rectangles. Use H for heads, T for tails, R for red, Y for yellow, and B for blue.
3. Write the sample space to the right of the tree diagram. For example, write "TY" next to the branch that represents "Toss a tails, spin yellow."
4. How many outcomes are in the event "Toss a tails, spin yellow"? (1 point)
5. What is the probability of tossing tails and spinning yellow? (1 point)
The tree diagram that represents the events is an illustration of probability and combination
The tree diagramTo draw the tree diagram, we make use of the following representations:
H for heads, T for tails, R for red, Y for yellow, and B for blue.See attachment for the tree diagram.
The sample space and the outcomesFrom the tree diagram, the sample space is as follows:
S = {HR, HY, HB, TR, TY, TB}
The number of outcomes that represents "Toss a tail, spin yellow"This is represented as: TY
From the sample space above, we have:
TY = 1
Hence, the number of outcomes that represents "Toss a tail, spin yellow" is 1
The probabilityWe have:
TY = 1
Sample size = 6
Hence, the of tossing tails and spinning yellow is 1/6
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can you help with this please
Answer:
x = 81
Steps:
It says that y ~ √x
We have points (9, 18) as a guide.
We can write y = f(x) = a√x +b
Use points (9, 18) as a guide
18 = a√9 +b
18 = 3a + b
One solution might be a = 6, which means f(x) = 6√x
Thus when y = 54,
54 = 6√x
9 = √x
81 = x
Как это решать (отмечено красным)
Answer:
it’s 3 because chinese had the era.
Step-by-step explanation:
Simplify.
4(v-5)-7v pls help quick
Answer:
-3v-20
Step-by-step explanation:
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2014, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the calendar year in which the number of new cases would reach 579.
The linear regression equation that represents this data set is equal to y = 120.8x + 2,114.
How to write the linear regression equation?First of all, we would determine the slope of the given data set by using this formula:
[tex]Slope = \frac{\sum (x-\bar x)(y-\bar y)}{\sum (x-\bar x)^2}[/tex]
For the sample mean (years), we have:
[tex]\bar x = \frac{0\;+\;1+\;2\;+\;3\;+4}{5} \\\\\bar x =\frac{15}{4} \\\\\bar x =3.75[/tex]
For the sample mean (cases), we have:
[tex]\bar y = \frac{904\;+\;900+\;833\;+\;837\;+754}{5} \\\\\bar y =\frac{4,228}{4} \\\\\bar y =1057[/tex]
The sums are given by:
∑(x - |x|) = (0 - 3.75) + (1 - 3.75) + (2 - 3.75) + (3 - 3.75) + (4 - 3.75)
∑(x - |x|) = - 3.75 - 2.75 - 1.75 - 0.75) + 0.25
∑(x - |x|) = -8.75.
∑(x - |x|)² = (-8.75)² = 76.5625.
∑(y - |y|) = (904 - 1057) + (900 - 1057) + (833 - 1057) + (837 - 1057) + (754 - 1057)
∑(y - |y|) = -153 - 157 - 224 - 220 - 303
∑(y - |y|) = -1,057.
∑(x - |x|)(y - |y|) = -8.75 × -1057
∑(x - |x|)(y - |y|) = 9,248.75.
Now, we can determine the slope:
Slope = 9,248.75/76.5625
Slope = 120.8.
Therefore, the equation is given by:
y = 120.8x + a
Next, we would find the value of a:
1057 = 120.8(-8.75) + a
a = 1057 + 1,057
a = 2,114.
Hence, the linear regression model is given by:
y = 120.8x + 2,114.
Since the new cases would reach 579, the calendar year would be calculated as follows:
579 = 120.8x + 2,114
120.8x = 579 - 2,114
120.8x = -1,535
x = -1,535/120.8
x = -12.71.
Year = 2014 + 12.71
Year = 2026.71 ≈ 2027.
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PLEASE HELP ME ASAP!!
Which phrase best matches the expression below? (5 x 7) - 9?
Nine more than the product of five and seven.
Nine less than the product of five and seven.
Nine less than the quotient of five and seven.
Nine more than the quotient of five and seven.
Answer:
nine less than the product of five and seven
check the attachment please.
Answer:
It’s B
Step-by-step explanation:
they are a linear pair, when added up,the equal 180, so u would subtract 56 from 180 to get the answer.
ur wlcm :)
brainliest please?
Rezultatul calculului 22 grade 45 minute+27 grade 35 minute este egal cu
Answer:
49 grade 80 minutes
Step-by-step explanation:
c. (-3) ³:-(3)³
and this answer??
cause it's abit difficult
Answer:
-54
Step-by-step explanation:
first of all you want to simplify them
Solve this equation for x. X+13=22
Answer:
The value of X = 9
Step-by-step explanation:
X+13=22
X = 22-13
X = 9
What is the slope of the line?
Answer:
The answer is [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Use rise over run, so you go up 1 then go to the right twice giving you the slope