Step-by-step explanation:
It is given that,
The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.
(a) In scientifc notation, the distance from the Sun to Venus will be :
There are 8 numbers before 1. It means
d = 1.08 × 10⁸ km
(b) In scientific notation, the diameter of a human hair will be :
There are 3 numbers after decimal. It means
D = 2.5× 10⁻³ mm
(c) Before comparing two measurements, both values must be converted into the same units.
Since, 1 mm = 10⁻⁶ km
D = 2.5× 10⁻³ × 10⁻⁶ km
= 2.5 × 10⁻⁹ km
For comparison divide the distance from the Sun to Venus and the diameter of a human hair.
[tex]C=\dfrac{1.08\times 10^8\ km}{2.5\times 10^{-9}\ km}\\\\=4.32\times 10^{16}[/tex]
Hence, this is the required solution.
Consider the expression shown.
(x^-3 y^5 z^-4) • (x^6 y^-7 z^-2)
Part A. The value of the exponent of x in the simplified expression will be
1. -18
2. -9
3. 3
Part B. The value of the exponent of y in the simplified expression will be
1. -35
2. -12
3. -2
Part C. The value of the exponent of z in the simplified expression will be
1. -6
2. -2
3. 8
Answer:
3, 3 and 1
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
Given
([tex]x^{-3}[/tex] [tex]y^{5}[/tex] [tex]z^{-4}[/tex] × [tex]x^{6}[/tex] [tex]y^{-7}[/tex] [tex]z^{-2}[/tex]
A
[tex]x^{-3}[/tex] × [tex]x^{6}[/tex] = [tex]x^{(-3+6)}[/tex] = x³ → with exponent 3
B
[tex]y^{5}[/tex] × [tex]y^{-7}[/tex] = [tex]y^{(5-7)}[/tex] = [tex]y^{-2}[/tex] → with exponent - 2
C
[tex]z^{-4}[/tex] × [tex]z^{-2}[/tex] = [tex]z^{(-4-2)}[/tex] = [tex]z^{-6}[/tex] → with exponent - 6
I've worked out the problem multiple times but I don't get any of the answer choices. Can someone work it and tell me what you get? The answer I have selected is closest to what I'm getting.
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[tex] \frac{ {a}^{3} - 27 }{ {a}^{2} - 9 } \div \frac{ {a}^{2} + 3a + 9 }{a + 3} = \\ [/tex]
[tex] \frac{ {a}^{3} - 27 }{ {a}^{2} - 9 } \times \frac{a + 3}{ {a}^{2} + 3a + 9 } = \\ [/tex]
[tex] \frac{(a - 3)( {a}^{2} + 3a + 9) }{(a - 3)(a + 3)} \times \frac{a + 3}{ {a}^{2} + 3a + 9 } = \\ [/tex]
[tex] \frac{(a - 3)(a + 3)( {a}^{2} + 3a + 9) }{(a - 3)(a + 3)( {a}^{2} + 3a + 9) } = \\ [/tex]
[tex]1[/tex]
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The correct answer is the first option .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The length of a rectangle is equal to triple the width. what is its width and length if its perimeter is 88 centimeters.
Answer:
56fifjjfiggitrireieisixii3eiirr
Answer:
Length = 33 cm
width = 11 cm
Step-by-step explanation:
a = 3w ⇒ eq. 1
88 = 2(a+w) ⇒ eq. 2
a = length
w = width
then:
replacing the value of the eq. 1 on the eq. 2
88 = 2(3w + w)
88/2 = 4w
44 = 4w
w = 44/4
w = 11 cm
from the eq. 1
a = 3w
a = 3*11
a = 33cm
Check:
perimeter = 88 = 2(a+w)
88 = 2(33+11)
88 = 2*44
At an office supply store, 8 boxes of pens and 3 folders cost $6.50. At the same store, 8 boxes of pens and 1 folder cost $5.90. How much does one box of pens cost? How much does 1 folder cost? Please explain.
Answer:
$0.30
Step-by-step explanation:
the difference of the folders is 2.
The difference of money is $0.60
60/2 = 30
$0.30
Find f (h(-5))
f (x) 9x - 5
g(x) - 3x
h(x) 2x2
Your answer:
hi
You are making f ° h
f(x) = 9x-5
h(x) = 2x²
You must first calculate h(-5) : so remplace x by -5 in h :
h(-5) = 2 (-5)² = 2* 25 = 50
then apply f(x) to result : f(50) = 9 *50 -5 = 450 -5 = 445
Chicken costs $3.20 per pound, and beef costs $4.59 per pound. Answer each question and show your reasoning. When purchasing 3 pounds, which meat is more expensive? By how much more expensive is it?
Given :
Chicken costs $3.20 per pound, and beef costs $4.59 per pound.
To Find :
When purchasing 3 pounds, which meat is more expensive and by how much.
Solution :
Price of 3 pound chicken, [tex]P_c=3.2\times 3 = \$9.6[/tex] .
Price of 3 pound beef, [tex]P_b = 4.59\times 3=\$13.77[/tex] .
Now, difference in price :
P = $13.77 - $9.6 = $4.17 .
Therefore, beef is more expensive than chicken by $4.17 .
Hence, this is the required solution.
What is the slope-intercept equation of the line below?
My answer would be A. Because if your line is going down, it is a negative slope. And the y-intercept is at negative 1.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
the y intercept is -1 becuase thats where the point is located on the y axis and the slope is -2x because rise over run go up 2 over one
Find y if 3х + 4y = 1
Answer:
y=1/4-3/4y
Step-by-step explanation:
rearrange the equation
4y=1-3x
divide both sides by 4 to get the value of y
Answer:
y = 1/4
Step-by-step explanation
Find Y set x=0
3(0)+4y = 1
4y = 1
y = 1/4
Given that sec(0) =25/7
and 0 is in Quadrant I, find csc(0) and tan(0).
Answer:
Csc(0)=24/27 and Tan(0)= 24/7
Step-by-step explanation:
We know that secant is the inverse of cos. So that Sec(x) = Cos^-1(x)= hypotenuse/adjacent. We now know that 25 is hypotenuse and 7 is the length of side adjacent to angle theta.
Given this information we can find the length of side opposite to theta, which has length 24.
Now we know:
Hypotenuse=27
Adjacent=7
Opposite=24
Csc is inverse of sin, so that scs=sin^-1=hypotenuse/opposite=27/24
and tan=opposite/adjacent=24/7
I need help on this... i have to find the m
Answer:
100°
Step-by-step explanation:
(20x)° = (7x + 5)° + 60°
20x - 7x = 65
13x = 65
x = 5
m∠BTU = (20 × 5)° = 100°
A count went from 605 to 203. What was the approximate percent decrease? Round the numbers to find an estimate of the percent decrease.
Answer:
66 %
Step-by-step explanation:
it is 66% because 203 is less than half of 605 .So, you would add together .
203+203=406 Thats not even close to 605 so now you add almost half so that would be about 66%
IT'S D
HOPE THIS HELPED MARK ME BRAINLIST PLS
Write the equation of the line that passes through the given points.
Answer:
y=3x-3
Step-by-step explanation:
the y(intercept)= -3 because the point is at -3 on the y-axis. from there the line goes up 3 and over 1. the slope would be 3.
All together the equation of the line is:
Y=3x-3
Can you guys answer 1 and 2?
- 6
48
-
99
how to solve it
To solve the following system by elimination of the x terms, if the first equation were multiplied by -4, by what number would you multiply the second equation?
Answer:
6
Step-by-step explanation:
Multiply by 6 and you can eliminate x or y.
La profesora repartió témperas del mismo tamaño entre los chicos. Mariana usó 3/5 de su pote y Juan 3/4 del suyo. ¿Quién usó mayor cantidad y por qué? Representa con dibujos los potes y lo que se usó
Answer:
Juan uso mayor cantidad de témpera.
Step-by-step explanation:
Para comparar fracciones que tienen distintos denominadores, como en este caso, es conveniente encontrar fracciones equivalente a las fracciones dadas, donde ambas tengan el mismo denominador. Dos fracciones son fracciones equivalentes cuando representan la misma parte de la unidad.
En este caso, para comparar las fracciones 3/5 y 3/4, obtienes que el mínimo común múltiplo entre los denominadores que es 20 (el denominador común se puede obtener multiplicando ambos denominadores o calculando el m.c.m) y amplificas cada una de las fracciones para que tengan el mismo denominador.
Entonces:
[tex]\frac{3}{5} =\frac{3*4}{5*4} =\frac{12}{20}[/tex]
[tex]\frac{3}{4} =\frac{3*5}{4*5} =\frac{15}{20}[/tex]
Cuando dos o más fracciones tienen igual denominador, es mayor la que tiene mayor numerador. Entonces en este caso podes observar 15/20 es mayor. Como 3/4 es una fracción equivalente a 15/20, entonces 3/3 es una fracción mayor. Por lo que es posible decir que Juan uso mayor cantidad de témpera.
Esto también se puede observar en la representación de la imagen adjunta, donde se divide en 1/4 y 1/5 y se encuentra pintado la cantidad usada por Juan y Mariana. En ese caso se puede ver que el área pintada es mayor en el caso de 3/4, la cantidad usada por Juan.
Park rangers at a game preserve in Africa observed a cheetah run 3
3
5
miles in
1
20
hour. What was the cheetah’s speed in miles per hour (mph)?
A.
9
50
mph
B. 5
5
9
mph
C. 72 mph
D. 92 mph
2
Among other ingredients, a recipe for paella calls for
3
4
pound of chorizo and
1
2
cups of rice. What is the unit rate of pounds of chorizo to cups of rice in the recipe?
A.
3
10
pound of chorizo per cup of rice
B.
8
15
pound of chorizo per cup of rice
C. 1
7
8
pound of chorizo per cup of rice
D. 3
1
3
pound of chorizo per cup of rice
3
Mary Ellen has a white oak tree in her backyard. She observed that the tree had grown
2
3
foot in
3
4
year. What is the tree’s growth rate in feet p
Answer:
Cheetah's speed = 2.79 miles per hour
Step-by-step explanation:
Speed = Distance / Time
Distance = 335 miles, Time = 120 hours
So, speed = 335 / 120
Speed = 2.79 mph
Paul's bank account used to have $1,250 dollars in it. After saving and following a strict budget he manages to increase that amount by 40%. How much money is in his bank account now?
i need help with a question! im going to post it now! some one please help!!!!
its math
Answer:
Where is it?
Step-by-step explanation:
the equation y=7× represents a proportional relationship. What is the constant of proportionality
The answer is the number 7
If two pounds of steak will serve 5 people, how many
pounds will be needed to serve 13 people?
Answer:
5.2 pounds will be needed
Step-by-step explanation:
TEXAS INSTRUMENTS TI-30X IX
- calculator i used
Answer:
5.2 approximately 5 pounds of steak
Step-by-step explanation:
if 5 people : 2 pounds of steak
then 13 people : ?
if more , less divides
13/5×2
26/5
5.2
What 10 x 13x 5 x6 x8 x9 x9 x0
Answer:
0
Step-by-step explanation:
If those x's are NOT variables, then the answer is 0. The x is a multiplication sign, right?
Solve the system of equations algebraically.
5g+4k=10
-3g-5k=7
Answer:
k = -5
g = 6
Step-by-step explanation
1) First solve for k and plug that into the other equation to solve for g.
5g + 4k = 10
4k = -5g + 10
k = -5/4g + 2.5
2) Plug k into the other equation to solve for g
-3g - 5k = 7
-3g = 5k + 7
-3g = 5(-5/4g + 2.5) + 7 Use the distributive property
-3g = -6.25g + 12.5 + 7 Combine like terms and simplify
-3g = -6.25g + 19.5 Add 6.25g to both sides
3.25g = 19.5 Divide 3.25 from both sides to find g
g = 6
3) Now we take this g and plug it into the other equation to find k
(we could also just plug it into this equation as well)
5g + 4k = 10
5(6) + 4k = 10
30 + 4k = 10
4k = -20
k = -5.
If we really wanted to doube check this then we could plug the k value into the equation we used to find the g value...
-3(6) - 5(-5) = 7
-18 + 25 = 7
So yes, k = -5 and g = 6.
4. The difference log2 (3) - log2 (12) is equal to
Answer:
Step-by-step explanation:
-2
Apply this particular rule of logs:
log a - log b = log a/b
Therefore, log2 (3) - log2 (12) = log2 (3/12) = log2 (1/4)
This last result simplifies to log2 1 - log2 4 = 0 - 2 = -2
Answer:
-2
Step-by-step explanation:
[tex]log_2(3)-log_2(12)[/tex]
~Simplify using log properties
[tex]log_2(\frac{3}{12})[/tex]
[tex]log_2(\frac{1}{4})[/tex]
~Apply log rules
[tex]-log_2(4)[/tex]
~Rewrite
[tex]-log_2(2^2)[/tex]
~Apply log rules
[tex]-2log_2(2)[/tex]
~Apply log rules
-2 * 1
~Simplify
-2
Best of Luck!
18 + 19x = 10x + 54
can someone help me with this
Answer:
The answer is X= 4.
Please anyone help me
Answer: Are we supposed to solve for y or?
Step-by-step explanation:
warning: sorry if this doesn't make sense but this all i can get out of this one
-2x + y = -9
x = 9/2 + y/2
y = -9 + 2x
------
same warning here
12x + 3y = 9
x =3/4 - y/2
y = 3 - 4x
sorry if this doesn't help but i hope it does
4. A map has a scale of 1 inch = 100 miles. The distance between two cities is 7.25 inches. If a car travels
50 miles per hour, about how long will it take to get from one city to another?
hours
Answer:
14.5 hours/14 hours 30 minutes
Step-by-step explanation:
The distance between the two cities is 7.25•100=725 because you multiply the scale distance by the scale.The number hours is 725/50=14.5 hours because you divide the distance by 50 (the miles per hour).ILL GIVE Brainliest
find the area of the polygon
Answer:
27.5 units^2
Step-by-step explanation:
Total area = Area of triangle ILH + Area of parallelogram JKLI
Area of triangle ILH
= 1/2 * b * h
= 1/2 * 5 * 5
= 12.5 units^2
Area of parallelogram JKLI
= bh
= 3 * 5
= 15 units^2
Total area
= Area of triangle ILH + Area of parallelogram JKLI
= 12.5 + 15
= 27.5 units^2
Solve the literal equation
X= (a+b+c)/(ab)
for a.
Answer:
a = (b + c)/(bx - 1)Step-by-step explanation:
Given
x= (a+b+c)/(ab)Solving for a
x = (a + b+ c)/(ab)abx = a + b+ cabx - a = b + ca(bx - 1) = b + ca = (b + c)/(bx - 1)Brainliest to right answer, dont answer if your not sure...also based on the previous answer are the equations equivalent?
Answer:
D
Step-by-step explanation:
To get from A to B you must divide by x on each side, therefore dividing by the same variable expression