Answers
Answer: B. 1.5 × 10⁻¹⁸
Step-by-step explanation:
Concept:
When multiplying exponents, add the exponents together.
When dividing exponents, subtract the exponents.
When converting scientific notation to an integer:
If the exponent is negative, move the decimal to the left with the same amount of units as the exponents. For example: If converting 5 × 10⁻³, since the exponent is -3, we move the decimal to the left 3 unitsIf the exponent is positive, move the decimal to the right with the same amount of units as the exponentsFor example: If converting 2 × 10⁴, since the exponent is 4, we move the decimal to the right 4 unitsWhen converting an integer to scientific notation:
If the number is ≥1, then count the moves of decimal point until the integer is 0<integer<10. The number of moves will be the exponent that is positive.For example: If converting 300, since there are two moves until it is left with 0<3<10. Thus, the scientific notation will be 3 × 10²If the number is <1, then count the moves of decimal point until the integer is 0<integer<10. The number of moves will be the exponent that is negative.For example: If converting 0.004, since there are three moves until it is left with 0<4<10. Thus, the scientific notation will be 4 × 10⁻³Given:
Mass of one water molecule = 3.0 × 10⁻²³
Total number of molecules (required by the question) = 50,000
Solve:
Formula
Total mass = Mass of one water molecule × Total number of molecules
Substitute the values into the formula
Total mass = 3.0 × 10⁻²³ × 50,000
Convert 50,000 into scientific notation
Total mass = 3.0 × 10⁻²³ × 5 × 10⁴
Multiply numbers together/ Multiply exponents together
Total mass = 15 × 10⁻¹⁹ = 1.5 × 10⁻¹⁸
Hope this helps!! :)
Please let me know if you have any questions
Related Questions
Sum of zeroes of polynomial 2x²-x-3 is ? Full solved answers ✔ No spam ❌
Answers
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 , then the sum of the roots is
α + β = - [tex]\frac{b}{a}[/tex]
Here 2x² - x - 3 = 0 is in standard form
with a = 2 and b = - 1 , then
sum of roots = - [tex]\frac{-1}{2}[/tex] = [tex]\frac{1}{2}[/tex]
simplify 12/2 . 12/3
Answers
Step-by-step explanation:
is that really all ?
to simplify 12/2 and 12/3 ?
well, 12 can be divided by 2 and by 3 without remainder.
and so we get
12/2 = 6/1 = 6
12/3 = 4/1 = 4
PLZ HELP ASAP please
Answers
Answer:
b:4,5
Step-by-step explanation:
Answer: 6.4
Step-by-step explanation:
Use the distance formula-[tex]\sqrt{(x_{2}-x_{1}) +(y_{2} -y_{1} \\[/tex]
Fill formula and solve-
[tex]\sqrt{(-4-0)^2+(6-1)^2[/tex]
[tex]\sqrt{ (-4)^2+(5)^2[/tex]
[tex]\sqrt{ 16+25[/tex]
[tex]\sqrt{41[/tex]
[tex]\\6.4031[/tex]
[tex]6.4[/tex]
Identify the reflection rule in the given figure.
A. Reflection along the line y = –1
B. Reflection along x-axis
C. Reflection along y = 1
D. Reflection along y-axis
Answers
Answer: A) Reflection along the line y = -1
===========================================================
Explanation:
Point A is at (1,5). Point A' is at (1,-7).
Apply the midpoint formula to find the center of these two points.
You should get (1,-1) as that midpoint.
Follow these steps for B(-1,3) and B'(-1,-5) to get the midpoint (-1,-1)
Those midpoints we found are located on the mirror line. We only need two such points to plot it. Drawing a line through (1,-1) and (-1,-1) graphs the equation y = -1. This is the horizontal line through -1 on the y axis.
Solve the triangle. Round your answers to the nearest tenth.
Answer Options:
A. m∠B=47, m∠C=28, b=24
B. m∠B=47, m∠C=28, b=28
C. m∠B=43, m∠C=32, b=28
D. m∠B=46, m∠C=29, b=24
Answers
Answer:
Option B
You use sine rule to find the missing angles
Answered by GAUTHMATH
For any triangle ABC, The correct option the given triangle is B. m∠B=47, m∠C=28, b=28.
What is law of sines?For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]
Remember that we took,
[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]
We have been given angle A = 105 degrees and side a = 37, side c = 18.
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle C}{c}\\\\\dfrac{sin\angle 105}{37} = \dfrac{sin\angle C}{18}\\\\sin\angle C = \dfrac{sin\angle 105}{37} \times 18 \\\\sin\angle C = 28[/tex]
By angle sum property;
A + B + C = 180
105 + 28 + B = 180
B = 180 - 133
B = 47
Therefore,
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b}\\\\\dfrac{sin\angle 105}{37} = \dfrac{sin\angle 47}{b} \\\\b = 28[/tex]
Hence, the correct option the given triangle is B. m∠B=47, m∠C=28, b=28.
Learn more about law of sines here:
https://brainly.com/question/17289163
#SPJ2
y = 4x – 10
y = 2
What is the solution to the system of equations?
(3, 2)
(2, 3)
(–2, 2)
(2, –2)
Answers
Answer:
(3,2)
Step-by-step explanation:
y = 4x – 10
y = 2
Substitute the second equation into the first
2 = 4x-10
Add 10 to each side
2+10 = 4x-10+10
12 = 4x
Divide each side by 4
12/4 =4x/4
3 = x
The solution is
(3,2)
Answer:
(3,2)
Step-by-step explanation:
y = 4x – 10...(1) y = 2...(2) You have y=2 here, substitute it in equation (1),
y = 4x – 10 2 = 4x – 10
Add both sides by 10 12=4x
Divide both sides by 4 x=3
We have x=3, and y=2. ==> (x,y) = (3,2)
HELP ASAP ILL GIVE BRAINLIST
t/f If substituting the test point produces a false solution, we shade on the opposite side of the line.
t/f Elimination will give you an exact answer to a system of equations.
Answers
Answer:
TRUE If substituting the test point produces a false solution, we shade on the opposite side of the line.
FALSE Elimination will give you an exact answer to a system of equations.
Step-by-step explanation:
Weird, I thought I already answer this xD
A national caterer determined that 37% of the people who sampled their food said that it was delicious. If the 144 people at the Valley Ridge Nursing Home are given the same food, and asked by tables what the deliciousness of the food, what is the mean of the sampling distribution of p-hat (the population proportion)
Answers
Answer:
Hence the mean of the sampling distribution of proportion is,
[tex]\mu\hat p = p = 0.37[/tex].
Step-by-step explanation:
Here the given details are,
p = 0.37
1 - p = 1 - 0.37 = 0.63
n = 144
The mean of the sampling distribution of proportion is,
[tex]\mu\hat p = p = 0.37[/tex]
For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?
Answers
Answer:
(2 + 1)^2 + 2 = 10 - 6
Falso
Step-by-step explanation:
109 / 5000
El lado izquierdo
11
no es igual al lado derecho
4
, lo que significa que la declaración dada es falsa.
Falso
help again geometry similarity transformations
Answers
1. 2
2. The X axis
3. 3 right and 1 up (3, 1)
Answer:
2 or A
x-axis or y = 0
I'm not sure the answer choices for the third one so I'm heading out.
Step-by-step explanation:
If your device is capable of taking screenshots from your laptop/desktop, then take a screenshot, like on Windows OS, it's Windows Key + Shift + S, and on Mac OS, it's Command + Control + Shift + 4, I think.
Taking a picture from a phone takes longer to upload and has bad quality since it's from a further distance and the individual pixels are more spread out.
a circle in the xy plane has a center at (3/4, 1/2)
Answers
Answer:
(x - 3/4)^2 + (y - 1/2)^2 = r^2
Brainliest, please!
Step-by-step explanation:
Equation of a circle: (x - h)^2 + (y - k)^2 = r^2
(x - 3/4)^2 + (y - 1/2)^2 = r^2
We do not have enough information to find the radius. Were you given another point that lies on the circle?
NEEDED ASAP will MARK THE CORRECT ONE
Answers
Answer:
→ m∠ABE + m∠EBC =180°
→ m∠ABF + m∠FED + ∠DBC =180°
→ ∠ABF ≅ ∠EBC
→ ∠ABE ≅ FBC
~OAmalOHopeO
For a beverage, Lisa mixes cups of lemonade to cups of ice tea in a ratio of 2:5. Which of the following best describes the amount of lemonade to iced tea
Answers
Answer:
lemonade is 4:10 to ice or .4:1
Step-by-step explanation:
Assuming lemonade is 2 and tea is 5, you can use a table or multiply both reciprocals by 2 so 2x2 and 2x5 = 4:10. then if you want to see how much is in just once cup of tea divide by ten to each for the product of .4:1
Answer: For every 2 cups of lemonade, there are 5 cups of iced tea.
if the ratio is 2:5 then for every 2 cups of lemonade there are 5 cups of tea.
it is just another way of saying the ratio
What is the slope of the line below is -5. Which of the following is the point-slope form of the line?
Answers
Answer:
[see below]
Step-by-step explanation:
Point slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
(x1, y1) - a point
m - slope
We are given the point of (2, -7), and the slope of -5.
[tex]y-y_1=m(x-x_1)\rightarrow y-(-7)=-5(x-2)\rightarrow\boxed{y+7=-5(x-2)}[/tex]
Hope this helps.
plssssss help me answer this quickly
Answers
Answer:
Step-by-step explanation:
Which congruence theorem can be used to prove
ABR = RCA?
Answers
Answer: The HL Theorem can be used to prove ABR ≅ RCA because both triangles share the same hypotenuse and a leg. The HL theorem states that If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
A student states that the translation of triangle ABC is A’B’C’. What measurements or properties of lines AA', BB', and CC' do you need to confirm that it is a translation? :D
Answers
If you can show that the following two items are true
AA' = BB' = CC'AA' || BB' || CC'then you have shown that triangle A'B'C' is a translated or shifted copy of triangle ABC. In other words, they are the same triangle.
Help!!!
Slove for x.
A.11
B.9
C.13
D.14
Answers
Answer:
Step-by-step explanation:
The secants form a proportion where the full length of the secant is the denominator of a fraction where the numerator is the external part of the secant.
7/(x + 7) = 6/(15 + 6) Cross Multiply after combining
7 / (x + 7) = 6/(21)
6 * (x + 7) = 7 * 21 Remove the brackets
6x + 42 = 147 Subtract 42
6x = 147 - 42
6x = 105 Divide by 6
x = 17.5
I think I've done this correctly. If you find an error, please let me know and I'll open it for editing.
What is the approximate value of V7 to the nearest tenth
Answers
Answer:
17 i think i dont know if its the right answear
if U= π(r+h), find r when U =16/1/2 and h = 2/3/4
π = 3/1/7
Answers
Answer:
r = 2.5
Step-by-step explanation:
U= π(r+h)
Where,
U = 16 1/2
h = 2 3/4
π = 3 1/7
U= π(r+h)
16 1/2 = 3 1/7(r + 2 3/4)
33/2 = 22/7(r + 11/4)
33/2 = 22/7r + (22/7 * 11/4)
33/2 = 22/7r + 242/28
33/2 - 242/28 = 22/7r
(462-242) / 28 = 22/7r
220/28 = 22/7r
r = 220/28 ÷ 22/7
= 220/28 × 7/22
= (220 * 7) / (28 * 22)
= 1540/616
= 2.5
r = 2.5
Question : A scale model of a tower is made using the scale 1 in=4ft. If the height of the scale
model is 20 in, what is the height of the tower?
Answers
Answer:
80ft
Step-by-step explanation:
1ib=4ft, multiply by 20 both sides and you will get 20in=80ft
The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.
Answers
2/3=(x+7)/3x
Its for my summer math, and I have forgot how to do these types of problems. please help
30 POINTS!!
Answers
Answer:
x = 7
Step-by-step explanation:
I reversed it for easy viewing:
(x+7)/3x = 2/3
<=> (x + 7).3 = 2.(3x)
<=> 3x + 21 = 6x
<=> 21 = 6x - 3x
<=> 3x = 21
<=> x = 7
2/3 = (x+7) /3x
Cross multiply:
2(3x) = 3(x+7)
Simplify:
6x = 3x + 21
Subtract 3x from both sides:
3x = 21
Divide both sides by 3:
X = 7
Answer: x = 7
I don't understand this at all ( PICTURE ) please help with a simple explanation if you can. 15 Points and Marking Brainliest, Reporting fakes.
Answers
Help me write in standard form please help!
Answers
An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 3 1/2" by 5 1/4" on the drawing, how large is the bedroom?
A. 20 ft by 30 ft
B. 7ft by 10.5 ft
C. 14 ft by 21 ft
D. 10 ft by 15 ft
Answers
Answer:
C. 14 ft by 21 ft
Step-by-step explanation:
First you want to set up an equation:
3 1/2" over x' = 1/4" over 1'
7/2 = 1/4x
14' = x
Next, do the same thing for the other side of the drawing (5 1/4")
5 1/4" over y' = 1/4" over 1'
21/4 = 1/4y
21' = y
So the answer is 14 ft by 21 ft (C)
1. 8y = 48
2. q — 12 = 1
3. 18 = a/2
4. r/3 = 7
5. 11 = m — 4
Answers
Hello!
1. 8y = 48 => y = 48 : 8 => y = 6
2. q - 12 = 1 => q = 1 + 12 => q = 13
3. 18 = a/2 => a = 18 × 2 => a = 36
4. r/3 = 7 => r = 3 × 7 => r = 21
5. 11 = m - 4 => m = 11 + 4 => m = 15
Good luck! :)
what's the answer for this?
Answers
Answer:
A
Step-by-step explanation:
Observe the coordinates of C, it's (5,2). Now observe C' which is (2, - 5). Hence the rule is (x, y) -> (y, - x)
Câu 1 : Trong các phương trình sau phương trình nào là phương trình bậc nhất một ẩn ;
A/ x-1=x+2 B/(x-1)(x-2)=0 C/ax+b=0 D/ 2x+1=3x+5
Câu 2 : x=-2 là nghiệm của phương trình nào ?
A/3x-1=x-5 B/ 2x-1=x+3 C/x-3=x-2 D/ 3x+5 =-x- 2
Câu 3 : x=4 là nghiệm của phương trình
A/3x-1=x-5 B/ 2x-1=x+3 C/x-3=x-2 D/ 3x+5 =-x- 2
Câu 4 : Phương trình x+9=9+x có tập nghiệm là :
A/ S=R B/S={9} C/ S= D/ S= {R}
Câu 5 : Cho hai phương trình : x(x-1) (I) và 3x-3=0(II)
A/ (I)tương đương (II) B/ (I) là hệ quả của phương trình (II)
C/ (II) là hệ quả của phương trình (I) D/ Cả ba đều sai
Câu 6: Phương trình : x2 =-4 có nghiệm là :
A/ Một nghiệm x=2 B/ Một nghiệm x=-2
C/ Có hai nghiệm : x=-2; x=2 D/ Vô nghiệm
Answers
Answer:
Can you please answer the question in English so I can understand the English psyche can answer your question please ask this question in English actually I'm Indian so I know only 3 languages steps
How long would it take the car to travel a distance of 2 meters at this average speed?
Answers
Answer:
1 hour
Step-by-step explanation:
2 ÷2=1 speed divide by distance
