Answer:
1) [tex]1.276 \times 10^{7}\,m[/tex], 2) [tex]5.101 \times 10^{8}\,km^{2}[/tex], 3) [tex]5.974 \times 10^{24}\,kg[/tex], 4) [tex]7.723\times 10^{9}[/tex], 5) [tex]1.350 \times 10^{18}[/tex], 6) [tex]3.618\times 10^{8}\,km^{2}[/tex]
Step-by-step explanation:
(This exercise is written in Portuguese and for that reason explanation will be held in Spanish, which has strong similarities with that language)
La notación científica presenta el siguiente formato:
[tex]x.y \times 10^{n}[/tex]
Donde:
[tex]x[/tex] - Un dígito entero.
[tex]y[/tex] - Dígitos decimales consecutivos.
[tex]n[/tex] - Grado de potencia.
Para cálculos cotidianos se recomienda el uso de tres decimales consecutivos. A continuación, se presentan los números convertidos a la forma de notación científica:
1) [tex]12.756.000\,m[/tex]
El grado de la potencia es siete (7).
[tex]1.276 \times 10^{7}\,m[/tex]
2) [tex]510.072.000\,km^{2}[/tex]
El grado de la potencia es ocho (8).
[tex]5.101 \times 10^{8}\,km^{2}[/tex]
3) [tex]5.973.600.000.000.000.000.000.000\,kg[/tex]
El grado de la potencia es veinticuatro (24).
[tex]5.974 \times 10^{24}\,kg[/tex]
4) [tex]7.722.522.000[/tex]
El grado de la potencia es nueve (9).
[tex]7.723\times 10^{9}[/tex]
5) [tex]1.350.000.000.000.000.000[/tex]
El grado de la potencia es dieciocho (18).
[tex]1.350 \times 10^{18}[/tex]
6) [tex]361.800.000\,km^{2}[/tex]
El grado de la potencia es ocho (8).
[tex]3.618\times 10^{8}\,km^{2}[/tex]
what is the slope-intercept equation of the line below?
Answer:
4
Step-by-step example
Slop is the
Which function has an inverse function?
A- F(x) = l x-4 l + 1
B- F(x) = 25x^2+70x+49
C- F(x) = x^4
D- F(x) = x+3/7
Answer:
D
Step-by-step explanation:
Of these four functions, D is the only one that has an inverse. The graph of D, which is F(x) = x + 3/7, passes the horizontal line test; the horizontal line intersects the graph of F(x) = x + 3/7 only once.
What is the volume of the prism? 1080 cm 2700 cm 3240 cm 6480 cm
Answer:
Volume of prism = 3,240 cm³
Step-by-step explanation:
GIven.
Hexagonal prism.
Side of base(b) = 12cm
Height of prism = 9cm
Height of base (h)= 10cm
Find:
The volume of the prism.
Computation:
Area of base of hexagonal prism = n/2[bh]
Area of base of hexagonal prism = 6/2[(12)(10)]
Area of base of hexagonal prism = 360 cm²
The volume of prism = Area of base of hexagonal prism × Height of prism
The volume of prism = 360 × 9
Volume of prism = 3,240 cm³
Find the slope of the line that passes through (5, 9) and (2, 2).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
bdudbrksowodndiwnsonsuendumdjdndoamslals
The right answer is 7/3
hope it helps
Good luck on your assignment
simplify the equation
Answer:
3a
Step-by-step explanation:
9/3 = 3
[tex]a^{3}/a^{2} = a^{3 -2} = a[/tex]
b / b = 1
3 x a x 1 = 3a
Answer:
3a
Step-by-step explanation:
First, cancel the 3 at the bottom by getting rid of it and changing the 9 to a 3. You can do this because 3 is one third of 9.
With the division property of exponents, you have to subtract 3-2 and you can leave a to the power of 1 on the numerator.
Then, cancel the b's out by getting rid of them.
You will be left with 3a.
Find the value of x in the isosceles triangle shown below
Thank you!
Suppose it costs you $100 to rent a jet ski, plus another $150 per hour
of use. Using the equation C = 150h + 100, where C represents the
total cost for the rental and h represents the number of hours you rent
the jet ski, identify the slope and y-intercept.
Priya is hosting a poetry club meeting this week and plans to have fruit punch and cheese for the meeting. She is preparing 8 ounces of fruit punch per person and 2 ounces of cheese per person. Including herself, there are 12 people in the club. A package of cheese contains 16 ounces and costs $3.99. A one-gallon jug of fruit punch contains 128 ounces and costs $2.50. Let represent number of people in the club, represent the ounces of fruit punch, represent the ounces of cheese, and represent Priya's budget in dollars. Select all of the equations that could represent the quantities and constraints in this situation.
Answer:
i) Number of people in club = 12
ii) 96 ounces of fruit punch for 12people
iii) 24 ounces of cheese for 12 people
iv) Priya's budget for poetry club meeting in dollars = $7.87
Step-by-step explanation:
We are not given the options for the equations that could represent the quantities and constraints in this situation. We can tell we are to represent the information given above.
Number of people in the club = 12
8 ounces of fruit punch per person
For 12 people = 12×8 = 96 ounces of fruit punch
2 ounces of cheese per person
For 12 people = 12×2 = 24 ounces of cheese
A package of cheese = 16 ounces
The costs for 1package = $3.99
The costs for 16 ounces of cheese = $3.99
The cost for 24 ounces of cheese = (24×3.99)/16 = 5.985
The cost for 24 ounces of cheese = $5.99
One-gallon jug of fruit punch = 128 ounces
The cost of One-gallon jug of fruit punch = $2.50
The costs of 128 ounces of fruit punch = $2.50
The costs for 96 ounces of fruit punch = (96×2.5)/128 = 1.875
The costs for 96 ounces of fruit punch = $1.88
Priya's budget for poetry club meeting in dollars = $5.99 + $1.88 = $7.87
Cost per item for x number of people:
y = x(2.5/128) + x (3.99/16)
y = x(0.0195) + x(0.2494)
Cost equation for Priya's budget:
y = 96x(2.5/128) + 24x (3.99/16)
y = 96x(0.0195) + 24x(0.2494)
Since the total number of people to attend the meeting is 12, the constraint = 0≤x≤12
FernandoFernando buys juicejuice to make punchpunch for all hishis friends. HeHe buys 11 pintpint of juicejuice and one half 1 2 gallongallon of juicejuice. How many cupcups of juicejuice does hehe buy?
Answer:
10 cups
Step-by-step explanation:
He buys 1 pint of juice and 1/2 gallon of juice.
We have to convert pint and gallon to cups and then add them.
1 pint = 2 cups
1 gallon = 16 cups
1/2 gallon = 1/2 * 16 = 8 cups
Therefore,
2 + 8 = 10 cups
Fernando buys 10 cups of juice.
What is 15% of 80kg????
Answer:
12 kg
Step-by-step explanation:
15%×80 =
= 15×80/100
= 15×8/10
= 120/10
= 12 kg
I’m kinda stuck on this, could anyone explain it ?
The slope of the given line is -3/4.
Any line perpendicular to this one will have slope -1/(-3/4) = 4/3.
Use the given point and the point-slope formula to get the equation of the particular line:
y - (-1) = 4/3 * (x - 0)
y + 1 = 4x/3
y = 4x/3 - 1
Points (-1,2), (-4,7), (-3,1), (-2,4) lie in ______ quadrant
Answer:
2 quadrant
Step-by-step explanation:
i think
Answer:
Quadrant 2...
A livestock vaccine is to be given at the rate of 2 milliliters for each 15 pounds of body weight. How much should be given to a 60-pound goat?
Answer:
8
Step-by-step explanation:
There are 4 times 2 milliliters in each 15 pounds of a 60-pound goat
Answer:80milliliters/pound
Step-by-step explanation:
Rate per a pound = 20/15=4/3
For 60pounds =4*60/3
=80milliliter/pound
Find the side of to cube
whose volume is
5.832cm3
Answer:
[tex]1.8cm[/tex]
Step-by-step explanation:
Use the volume of cube formula.
[tex]\displaystyle V=s^3[/tex]
[tex]\displaystyle5.832=s^3[/tex]
[tex]\displaystyle\sqrt[3]{5.832} =s[/tex]
[tex]\displaystyle s=1.8[/tex]
Answer:
a= 1.8 cm
Step-by-step explanation:
V= a³
a= ∛Va= ∛5.832a= 1.8 cmA diver needs to descend to a depth of 100 feet. She wants to do it in 5 equal descents. How far should she travel in each descent?
Answer:
20 feet
Step-by-step explanation:
5 descent =>100 feet
1 descent => 100÷5
= 20 descent
What is the probability of Sunday following Saturday this week?
Answer:
certain
Step-by-step explanation:
the probability called certain means that is will occur or it's probability is 1
Answer:
Certain or 1/1 - 2/2 - 3/3 - 4/4 ect.
Step-by-step explanation:
Unless the world ends on Saturday (which is looking more and more certain as the year goes on) Sunday will follow after it the next day.
Which function grows at the fastest rate for increasing values of x? h(x)=2x f(x)=8x2−3x g(x)=19x p(x)=5x3+3
The function p(x) = 5x³ + 3 grows at the fastest rate for increasing values of x.
What is a function?A function is a relation between two sets one is called domain and the other one is range.
Given functions are:
h(x) = 2x
f(x) = 8x² − 3x
g(x) = 19x
p(x) = 5x³ + 3
Here, p(x) = 5x³ + 3 is the only cubic function.
As the degree of the function p(x) is highest among all.
Therefore, this function p(x) grows at the fastest rate for increasing values of x.
Learn more about function here:
https://brainly.com/question/5607159
#SPJ2
Over winter break, Raymond worked 12.5 hours at the library and 20.5 hours at a café. The library paid him $13 per hour. If he earned a total of $459.75 from both jobs, how much did the café pay Raymond per hour?
Answer: the correct answers is $14.50
Step-by-step explanation:
The amount that the cafe pays per hour will be $14.50 per hour.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
As per the given,
The rate of the library = $13 per hour.
For 12.5 hours.
Earning from library = 13 x 12.5 = $162.5
Cafe pay per hour = x
For 20.5 hours.
Earning from cafe = 20.5x
Total earning = 162.5 + 20.5x
20.5x = 459.75 - 162.5
x = 14.5
Hence "The amount that the cafe pays per hour will be $14.50 per hour".
For more about the linear function,
brainly.com/question/21107621
#SPJ2
oPr
on (x - 2)(x + 5) = 0?
________________________________
Hey!!
Solution,
(x-2)(X+5)=0
Either,
x-2=0
X=0+2
X=2
or,
X+5=0
X=0-5
X=-5
Hope it helps
Good luck on your assignment
____________________________
Horses varied directly as goats and inversely as pigs squared. When the barnyard contained 5 horses there were 4 pigs and only 2 goats. How many goats went with 6 pigs and 10 horses?
Answer:
I believe the answer is four there is twice as many horses so you would double the amount of original goats.
The number of goats that went with 6 pigs and 10 horses is; 4 goats.
Let the number of horses be h.
Let the number of pigs be p
Let the number of goats be g.
We are told that horses vary directly as goats.
Thus;
h ∝ g
Thus; h = k1g - --(eq 1)
Also, we are told that horses varies inversely as pigs squared.
Thus;
h ∝ 1/p²
h = k2/p² - - - (eq 2)
Where k1 and k2 are constant of proportionality.
When there are 5 horses there are 2 goats. Thus;
5 = 2k1
k1 = 5/2
k1 = 2.5
When there are 10 horses, we will have;
10 = 2.5g
g = 10/2.5
g = 4
Read more at;https://brainly.com/question/6843518
Find the range of values for which
Answer:
I don't understand the question
37 POINTS pls help time limit 13 minute left...
Answer:
first 3
Step-by-step explanation:
Answer:
A B C and D are all true not the last one!
Step-by-step explanation:
You had a goal to collect 50 cans for a food drive. You were able to collect 83 cans. What percent of your goal did you collect?
Answer:
you have 33 cans and so you have completed 166% of your goal
Step-by-step explanation:
I dont know
166 percent of the goal person as collected the cans.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
A percentage is a number or ratio that can be expressed as a fraction of 100.
Given that, a goal to collect 50 cans for a food drive.
Person as collected 83 cans.
Here, x% of 50 =83
x/100 ×50 =83 (word "of" means multiplication)
x/2 =83
x=166 (Transpose 2 to RHS of the equation)
So, x=166%
Therefore, 166% of the goal person as collected the cans.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
A city has a population of 2.8 million people. 45% of the population are male.
How many females live in the city?
Answer:
1.54 million
Step-by-step explanation:
If 45% of the population are males, then 55% are females. 55%=55/100=0.55. Multiplying this by the total population of the city, you can find that it has 0.55*2,800,00=1.54 million females. Hope this helps!
Answer:
the answer for this question is 1.54×10^6
Step-by-step explanation:
45%- Male
100%-45%=55%
55/100×(2.8×10^6)=1540000
=1.54×10^6
Oliver bought a scarf that costs 8 dollars and a watch that costs 9 dollars. At the counter he received a discount. If he paid only 13 dollars, how many dollars was the discount.
Answer: 4
Step-by-step explanation:8 + 9 = 17 you take what he paid 13 and subtract 13 from 17 and you get 4. 4 is how many dollars off he got.
Picture attachment is below
Answer:
0.04
Step-by-step explanation:
Answer:0.04
Step-by-step explanation:4/100
the lines shown below parallel. if the green line has a slope of -1, what is the slope of the red line
Answer:
-1
Step-by-step explanation:
Parallel lines have the same slope
If the green line has a slope of -1, the red line has a slope of -1
what is the solution to the equation x-16=-8
Answer:
x = 8
Step-by-step explanation:
8 minus 16 equals to a negative answer, resulting to -8.
Answer:
x = 8
Step-by-step explanation:
Add 16 to both sides of the equation.
x = −8 + 16
Add − 8 and 16
x = 8
Express 7040 in its standard form
Answer:
[tex]7.040 \times {10}^{3} [/tex]
Step-by-step explanation:
First write this number like this
[tex]7.040[/tex]
Then,
[tex]7.040 \times {10}^{3} [/tex]
To check whether your answer is correct you can do like this
[tex]7.040 \times {10}^{3} [/tex]
[tex] {10}^{3} = 10 \times 10 \times 10 \\ \: \: \: \: \: \: \: \: \: \: = 1000[/tex]
[tex]7.040 \times 1000 \\ = 7040[/tex]
yes, your answer is correct.
hope this helps
brainliest appreciated
good luck! have a nice day!
Which integers satisfy the inequality 2 < x ≤ 6 ?
Please help if you are in year 8 and know math!
Answer:
3, 4, 5, 6
Step-by-step explanation:
Given the inequality
2 < x ≤ 6
This says that 2 is less than x , so x ≠ 2 ( left part )
x is less than or equal to 6 means x can equal 6 ( right part )
Integer values that satisfy the inequality are
x = 3, 4, 5, 6
