Answer:
3 x 10^3
Step-by-step explanation:
1.485 / 4.95 = 0.3
10^6 : 10^2 = 10^(6-2) = 10^4
0.3 x 10^4
3 x 10^3
The quotient of 1.485 x 10^6 and 4.95 x 10^2 expressed in science notation is 3 x 10^3
How does scientific notations work?The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
WE need to find the quotient of 1.485 x 10^6 and 4.95 x 10^2 expressed in science notation.
So we have;
1.485 / 4.95 = 0.3
Therefore,
10^6 : 10^2
= 10^(6-2)
= 10^4
Hence, the scientific notation written as;
0.3 x 10^4
= 3 x 10^3
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Find j.
Write your answer in simplest radical form.
Answer:
Step-by-step explanation:
A random number from 1 to 5 is selected
50 times. The number 1 is selected 13 times,
2 is selected 8 times, 3 is selected 14 times, 4
is selected 6 times, and 5 is selected 9 times.
What is the relative frequency of selecting a 2?
3?
Answer:
Relative frequency of selecting a 2 = 8/50 = 0.16
Relative frequency of selecting a 3 = 14/50 = 0.28
Step-by-step explanation:
When we have a given experiment with given outcomes (such that each time that we perform the experiment, one outcome happens) the relative frequency of a given outcome is the quotient between the number of times that that outcome happened, and the total number of times that the experiment was performed.
Here the experiment is selecting a random number between 1 and 5, and it is performed 50 times.
Out of these 50 times, the outcome "2" appears 8 times.
Then the relative frequency of selecting the number 2 is:
f(2) = 8/50 = 0.16
And of these 50 experiments, the outcome "3" appears 14 times.
Then the relative frequency of selecting the number 3 is:
f(3) = 14/50 = 0.28
I need help time is running!!
Answer: 1/3piex^2
3rd one down
Step-by-step explanation:
I’m not positive sorry if I’m wrong
The volume of a sphere can be given by the formula V = 4.18879r. You have to design a spherical container that will hold
a volume of 55 cubic inches. What should the radius (r) of your container be? Round your final answer the nearest
hundreths place.
Answer:
2.36 inches
Step-by-step explanation:
V = 4.18879r³
to determine the value of r, make r the subject of the formula in the above equation
∛(V/4.18879) = R
∛(55/4.18879) = r
r = ∛13.130283
r = 2.36 inches
the hundredth is the second number after the decimal place. To convert to the nearest hundredth, look at the number after the hundredth (the thousandth). If the number is greater or equal to 5, add 1 to the hundredth figure. If this is not the case, add zero
Find the measure of the angle indicated
=======================================================
Explanation:
The arc measures shown are 138 and 58. Subtract the arc measures and divide by 2 to get the answer
(138-58)/2 = 80/2 = 40 degrees
The general formula is
(A - B)/2
where A and B are the arc measures. The value of A is always the larger arc measure. This formula works for two secant lines as this diagram shows, and it also works for a secant line and tangent line, and lastly it works if both lines were tangent.
What is the k’s meaning in k over 5 = 5
Answer:
25
Step-by-step explanation
5 times 5 is 25
(To make problems like this easier just multiply the denominator by the result, take this problem for example, the denominator is 5 and the result is 5 so just multiply those and you get 25)
Identify the correct phrase to complete the statement.
A central angle has a measure of 1 radian if the length of the intercepted arc is ___.
A. 6.28 units
B. the same as the length of the diameter
C. the same as the length of the radius
D. pi/4 units
A central angle has a measure of 1 radian if the length of the intercepted arc is the same as the length of the radius.
What is the measure of 1 radian?One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle. Since the circumference of a circle is 2πr, one revolution around a circle of radius r corresponds to an angle of 2π radians because of sr⇒2πrr=2π radians.
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Find the values of x and y in the picture. Express answers in simplest radical form. (square root form)
Answers:
x = 8
y = 15*sqrt(2)
===========================================================
Explanation:
This is a 45-45-90 triangle. The right triangle is isosceles.
This means the two legs 3x-9 and x+7 are the same length
3x-9 = x+7
3x-x = 7+9
2x = 16
x = 16/2
x = 8
If x = 8, then each leg is...
3x-9 = 3(8)-9 = 24-9 = 15
x+7 = 8+7 = 15
Each leg is 15 units long to help confirm we have the correct x value.
---------------
The hypotenuse y is exactly sqrt(2) times that of the leg length.
Therefore, y = 15*sqrt(2) since earlier we found each leg is 15 units long.
15*sqrt(2) = 21.213 approximately
Will give 100 pointsss!!
Find the time required for the
amount to double. (Approximate the result to two decimal places.)
Answer:
12.16 years
Step-by-step explanation:
Continuous Compounding Formula
[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]
where:
A = Final amountP = Principal amounte = Euler's number (constant)r = annual interest rate (in decimal form)t = time (in years)Given:
A = $5,000 (double the initial investment)P = $2,500r = 0.0570Substitute the given values into the formula and solve for t:
[tex]\sf \implies 5000=2500e^{0.0570t}[/tex]
[tex]\sf \implies \dfrac{5000}{2500}=\dfrac{2500e^{0.0570t}}{2500}[/tex]
[tex]\sf \implies 2=e^{0.0570t}[/tex]
Take natural logs of both sides:
[tex]\sf \implies \ln 2=\ln e^{0.0570t}[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\sf \implies \ln 2=0.0570t\ln e[/tex]
As ln e = 1:
[tex]\sf \implies \ln 2=0.0570t[/tex]
[tex]\sf \implies \dfrac{\ln 2}{0.0570}=\dfrac{0.0570t}{0.0570}[/tex]
[tex]\sf \implies t=\dfrac{ \ln 2}{0.0570}[/tex]
[tex]\implies \sf t=12.16047685...[/tex]
Therefore, the time required for the amount to double is 12.16 years (2 d.p.).
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A spinner is divided into 10 equal parts and numbered 1-10. Four of the parts are colored blue, four parts are colored red, and two parts are colored green.
What is the probability of spinning a 6? Write your answer as a decimal.
theres a slight chance of spinning a 6 0.06
AABC is a right triangle. AB=____
Since ABC is a right triangle, we can use Pythagorean Theorem to solve for side AB.
Pythagorean Theorem: a^2 + b^2 = c^2
4^2 + 7^2 = c^2
16 + 49 = c^2
65 = c^2
c = 8.06
Hope this helps!! :)
Answer:
8.06
Step-by-step explanation:
Well the formula for this is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
The sides given are called the opposite and the adjacent, which, in this formula correspond to a and b. What you are trying to find is called the hypotenuse, and in this formula, c.
First you need to square a and b, like in the formula:
[tex]4^{2}[/tex] = 16
[tex]7^{2}[/tex] = 49
Now you add these together to find [tex]c^{2}[/tex]:
16 + 49 = 65
So [tex]c^{2}[/tex] is 65, and to find c you need to square root that:
[tex]\sqrt{65}[/tex] = 8.0622577...
So its approximately 8, and more accurately 8.06
Someone help me with this one
Answer:
Subtract 1/3 from 2/3 dont forget to add the variable h!
1/3h + 11 = 8
-11 -11
1/3h = -3
Now we multiply by 3 on both sides
H = -9
Product of two integers is -6 and There sum is 1
Answer:
3 and -2
Step-by-step explanation:
xy = -6
x + y = 1
let 'x' = y-1
y(y-1) = -6
y² - y + 6 = 0
(y-3)(y+2) = 0
y = 3 and -2
The area of a rectangular piece of plastic is 10 square millimeters. The perimeter is 22 millimeters. What are the dimensions of the piece of plastic?
3-1/3n< 6;n>-9 What is n???
Answer:
i don't understand your question, but i'll try to the best of my ability.
the answer to that is:
-8.33333333333
Step-by-step explanation:
let me break this down into a way you might understand.
1: 3-1=2
2: 2 divided by 3=0.66666666666.
3: i don't know if the "< 6;n>", was meant to be in the equation, so i just added the rest of it up.
if that's not right let me know. i'm pretty clueless sometimes, and this might just be a higher level of math that i don't know.
you're welcome though, (i suppose..) and have a great day.
Help, please!! I don’t have much time
Answer:
I might be wrong, but if I did this right it would be D.
Step-by-step explanation:
I'm sincerely sorry if I got this wrong.
Answer:
B. 3.72 x [tex]10^{7}[/tex]
Step-by-step explanation:
The distance between the sun and Mercury is approximately 36,000,000 miles.
Move the decimal point 7 positions to the left so that there is only one digit to the left of it.
Multiply that number by 10 raised to the power of 7
7 is the number of positions that the decimal point was moved.
I do not know this subject too well but hopefully this helps.
Mrs. Franklin sells MSU hats and sweatshirts. She is hoping to earn $500 by charging
$20 for each sweatshirt and $10 for each hat. If she sells a total of 30 items, Mr.
Sanders wants to know how many of each item she sells.
Let H represent the number of hats and S represent the number of sweatshirts.
What equation relates S and H to the total Money earned?
0 205 + 10H - 500
O 105 + 20H = 500
105 - 500
10H - 400
Plz help
Answer:
for the next week and I don't want you guys watch
Step-by-step explanation:
hi there there no no of I following help to this online as
-3x+6>12
need help with this one number line
Answer:
x <-2
Step-by-step explanation:
-3x+6>12
Subtract 6 from each side
-3x+6-6>12-6
-3x> 6
Divide each side by -3, remembering to flip the inequality
-3x/-3 < 6/-3
x <-2
How many liters of 10% silver iodide mixed with 9 liter of a 4%silver iodide solution to get 6% solution
Answer:
The correct answer is "4.5 liters". A further explanation is provided below.
Step-by-step explanation:
Let the solution needed be "x".
then, according to the question,
⇒ [tex]4 \ percent(9)+10 \ percent(x)=6 \ percent(9+x)[/tex]
By solving the above expression, we get
⇒ [tex]0.04\times 9+0.1x=0.06\times 9+0,06\times x[/tex]
⇒ [tex]0.04 x=0.54-0.36[/tex]
⇒ [tex]0.04x=0.18[/tex]
⇒ [tex]x=\frac{0.18}{0.04}[/tex]
⇒ [tex]=4.5 \ liters[/tex]
what is 60 written as a product of a factor greater than 1?
Answer:
I think the answer to your question is 12?
Step-by-step explanation:
I hope this helps, have a nice day
what is the volume of the square pyramid
Answer:
3710.67 mm
Step-by-step explanation:
The formula is a^2 h/3
a = 22 h = 23
First, do 22 squared which is 484.
Now do 23 divided by 3 which is 7.666666667
Now multiply 484 and 7.666666667 together to get
3710.666667 or 3710.67 mm
Guys, A little help here pls? lol
Basically uhhh Im not really sure what unit rate is yet and its kinda a new lesson we're learning-
4.5
4.5
4.5
4.5
4.5
4.5
4.5
4.5
4.5
How are the shapes alike ?
Answer:
those 4 options are wrong, unless I am d.u.m.b
Step-by-step explanation:
both of those figures have 6 faces, and 8 edges.
Have a nice day! :-)
Answer:
Each shape has 12 edges
Step-by-step explanation:
Every cube (regular hexahedron) has 6 square faces and each face has 4 edges. However, each edge is shared between 2 faces. So, you can determine how many edges there are by multiplying 6 x 4 and dividing the resulting number (24) by 2, getting the final number of 12.
Can someone help me out, I will give out brainly.
Answer:
370
Step-by-step explanation:
Area of the entire thing is 20*20 = 400
You need to remove the triangle since it's not shaded, so find the area of the triangle and subtract it from the total (total = 400)
Area of triangle:
First find the height using pythagorean theorem
5*12 = 156
Then divide by two: 60/2= 30
400-30 = 370
Nicole received a $15.00 gift card for a photo center. She used it to buy prints that cost 7 cents each. The remaining balance, B (in dollars), on the card after buying x prints is given by the following.
What is the remaining balance on the card if Nicole bought 50 prints?
Answer:
$11.50
Step-by-step explanation:
Since it's 7 cents to buy 1 print, you do 7 times 50 = 350 cents for 50 prints which is $3.50 so then we do $15.00 - $3.50 = $11.50
Therefore, the remaining balance on the card is $11.50
Please mark my answer as brainliest, it will help a lot.
find the value of x pls help
Answer:
x = 15°
Step-by-step explanation:
First Identify the angle of x by subtracting 180° - 120° = 60°
Always remember when you see a straight line the line measures 180°
So the angle of x = 60° but not the value of x so use the given equation to find the value of x
3x + 15 = 60°
3x - 15 = -15°
3x = 45
x = 15°
Plz help me it’s being timed
Find the area of the triangle
Answer:
12 units2
Step-by-step explanation:
(6x4) /2 =12
please simplify
4(57ab)⁰
no links, answer quickly,please
Answer:
4
Step-by-step explanation:
Using the rule of exponents
[tex]a^{0}[/tex] = 1
Then
4[tex](57ab)^{0}[/tex] = 1 and
4[tex](57ab)^{0}[/tex] = 4 × 1 = 4
Answer:
4
Step-by-step explanation:
since 57ab has power 0 it is equal to 1
1×4 is 4
Someone help please want
asap
Answer:
3
Step-by-step explanation:
you are dividing by 3 each time