Answer:
A) 23^(a+b)
Step-by-step explanation:
if you multiply a number with diferrent exponents, the exponents will always add.
The bases are the same, so we add the exponents
The answer is [tex]23^{a+b}[/tex] which is choice A============================================
Here's an example of why we add the exponents
Lets say we want to multiply 7^2 with 7^3
7^2 = 7*7
7^3 = 7*7*7
We have two copies of "7" being multiplied with 7^2, then we have an additional three copies of "7" with 7^3. Overall there are 2+3 = 5 copies of "7" that we multiply out.
So,
7^2*7^3 = (7^2) * (7^3)
7^2*7^3 = (7*7) * (7*7*7)
7^2*7^3 = 7*7*7*7*7
7^2*7^3 = 7^5
This example is fairly small in that we don't have that many copies of the base being multiplied. For larger examples, its best to use the formula mentioned
a^b*a^c = a^(b+c)
Find the perimeter of a regular hexagon
with side 5cm.
Answer:
Step-by-step explanation:
Regular hexagon has six equal sides
Perimeter = 5 + 5 + 5 + 5 + 5 +5 or 6*5
= 30 cm
Simplifying two rational expressions, matching them with their equivalent simplified forms. Please helpppp! 23 pts.
The simplifed versions of the eqaution are attached below:
In the figure, the segment is parallel to one side of the triangle. The ratio of x to 16 is
a.1/2
b.1
c.2
d.3
A)
Step-by-step explanation:
6/12=x/16
12x=96
x=8
6/12=8/16
simplified to 1/2
Therefore, the answer is A)
The expression 100 + 20m100+20m100, plus, 20, m gives the volume of water in Eduardo's pool (in liters) after Eduardo spends mmm minutes filling his pool. What is the volume of water in Eduardo's pool after he fills it for 5 \dfrac145 4 1 5, start fraction, 1, divided by, 4, end fraction minutes?
Answer:
205 litres
Step-by-step explanation:
Given:
Volume of water is given as:
[tex]V=100+20m[/tex] (in litres)
m is the time in minutes spent filling water in Eduardo's pool.
To find:
Volume of water in the pool after the water is filled for [tex]5\frac{1}{4}[/tex] minutes.
Solution:
Here, volume of water in the Pool (in litres) is given by the equation:
[tex]V=100+20m[/tex] ....... (1)
Where m is the time for which Eduardo fills the pool.
Here, we are also given that
m = [tex]5\frac{1}{4}[/tex] minutes = [tex]\frac{5\times4+1 }{4}=\frac{20+1}{4}=\frac{21}{4}[/tex] minutes
And we have to find the value of V after [tex]\frac{21}{4}[/tex] minutes.
Let us put the value of m as [tex]\frac{21}{4}[/tex] minutes in the equation (1) to find the value of V.
[tex]V=100+20m\\\Rightarrow V = 100 + 20 \times \frac{21}{4}\\\Rightarrow V = 100+105\\\Rightarrow \bold{V = 205\ litres}[/tex]
So, the volume of water in the pool after [tex]\frac{21}{4}[/tex] minutes is 205 litres.
Type in the correct answer. What is the slope of line m? On a coordinate plane, a straight line goes through (negative 2, 1), (0, 0), and (2, negative 1).
Answer:
-0.5 or -1/2
Step-by-step explanation:
The equation for slope is y₂-y₁ / x₂-x₁.
It should work with all of the points given. Any of the 2 points you choose will give you the slope -0.5 or -1/2.
The slope the straight line going through (-2,1) , (0,0) and (2,-1) is -1/2.
What is a line segment?A line section that can connect two places is referred to as a segment.
In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
The average slope of a straight line ;
The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by
Slope = (y₂ - y₁)/(x₂ - x₁)
So slope associated with two points (-2,1) , (0,0)
⇒ (0 - 1) / (0 + 2)
⇒ -1/2
Since all three points are in a straight line so slope must be the same.
Hence "The slope the straight line going through (-2,1) , (0,0) and (2,-1) is -1/2".
For more about line segment,
https://brainly.com/question/25727583
#SPJ2
here is my question
Answer:
It represents a linear function because there is a constant rate of change.
Step-by-step explanation:
A linear function is arranged in or extending along a straight or nearly straight line.
So if the numbers keeps increasing, which it is, it will be rising in an almost complete straight line on a graph. That means it is a linear function because the numbers keep increasing.
Brainliest for whoever gets this right!
Make x the subject of the formula
a(x-b)=a^2+bx
Answer:
[tex]\bold{x=\dfrac{a^2+ab}{a-b}}[/tex]
Step-by-step explanation:
[tex]\bold{a(x-b)=a^2+bx}\\\\\bold{ax-ab=a^2+bx}\\\\{}\ \ +ab\qquad+ab\\\\\bold{ax\ =\ a^2+bx+ab}\\\\ -bx\qquad-bx\\\\\bold{ax-bx=a^2+ab}\\\\\bold{(a-b)x\ =\ a^2+ab}\\\\\div(a-b)\quad\ \,\div(a-b)\\\\ \bold{x=\dfrac{a^2+ab}{a-b}}\qquad\qquad\qquad a\ne b[/tex]
which one is greater -8.652 or -7.045
Answer:
-7.045 is greater
Step-by-step explanation:
Because -7.045 is closer to 0
Answer:
-7.045
Step-by-step explanation:
5x = 20 [÷6] Show the result of applying the given operations to both sides of these equations.
Answer:
x=⅔
Step-by-step explanation:
5x=20/6. multiply both sides by 6 to remove the denominator
5x(×6)= 20×6
6
30x=20
divide both sides by 30 to obtain the value of x
30x=20/30
30
x=20/30
x=⅔
(1) Steve found an orange caterpillar and a green caterpillar in his backyard. The green
caterpillar was 2/3 of an inch long and the orange caterpillar was 7/12 of an inch long. How
much longer was the green caterpillar than the orange caterpillar?
Answer:
5/3
Step-by-step explanation:
7/3 - 2/3 = 5/3, Hope this helps!
the sum of four consecutive odd numbers is 368 find the numbers
Answer:
the four consecutive numbers are 89, 90, 91, 93.
Step-by-step explanation:
let the four consecutive numbers be x, x+2, x+4, x+6
according to the condition in the question
x+x+2+x+4+x+6=368
4x+12=368
4x=356
x= 89
So, the numbers are 89, 90, 91, 93.
hope this will help :)
why are the southern slopes of mountains warmer than northern slopes?
Answer:
In the Northern Hemisphere, soil on south-facing slopes dries out faster and is warmer than soil on north-facing slopes due to longer exposure to sunlight – the opposite applies in the Southern Hemisphere.
Step-by-step explanation:
how to do this question plz answer me step by step plzz plz plz
Answer:
yes
Step-by-step explanation:
Calculate the circumference (C) using
C = πd ( d is the diameter )
= 180π cm
Each guest needs 70 cm, thus
180π ÷ 70 ≈ 8.078 ← number of guests at 1 table
18 × 8.078 = 145.404 ← number of guests at 18 tables.
There is enough tables to seat 145 guests
a gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front spocket and 12 teeth on the rear sprocket, what is the gear ratio for the bike?
Answer:
3 : 1
Step-by-step explanation:
ratio = front on front : teeth on rear = 36 : 12 = 3 : 1
Write an inequality for the following statement. x is less than 2
What helps to encourage openness, sharing, and respect for one another’s ideas during a group discussion?
Answer:
a sense of cohesion
Step-by-step explanation:
Team cohesion is a concept of how a team stays committed and values the interest of its members. A group can remain in a stable state when cohesion is strong, but the lack of cohesion made it prone to fall apart. The research of group cohesion is an important subject for study o how people stay interested in making large institutions work efficiently. It is referred to as a group of individuals with the same values and skills. And such a group and members of their group are dependable on each other.
In other to command respect and the acceptance of other people's view during a group discussion, it is imperative than contributing members can prove their inputs or view with evidence.
The ability to back up views with evidence would allow others to respect the opinion put forward due to the fact that it has a basis. Provision of evidence also allows other's to share views brought forward due to the backing provided by the evidence.Learn more : https://brainly.com/question/17361599
Find the midpoint of the line segment between the points
(2,5) and (-4, 9).
Answer:
The midpoint is (-1,7)
Step-by-step explanation:
To find the midpoint
Add the x terms together and divide by 2 to get the x coordinate
(2+-4)/2 = -2/2 =-1
Add the y terms together and divide by 2 to get the y coordinate
(5+9)/2 = 14/2 =7
The midpoint is (-1,7)
7c3d2
Need help finding the degree of the monomial
Answer:
5
Step-by-step explanation:
7c³d²
This term has tow variables, c and d
Power of c is 3
Power of d is 2
Degree of this monomial is = 3+2 = 5
A man has 1/4 of a kilogram of couscous. He shared them equally among 2 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.
Answer:
1/8 of a kilogram of couscous.
Step-by-step explanation:
With the information given, to be able to determine the kilograms of couscous that each person gets, you have to divide 1/4 kilogram that is the amount that the man has by 2:
[tex]\frac{1}{4}[/tex]÷2= [tex]\frac{1}{4}[/tex]*[tex]\frac{1}{2}[/tex]=[tex]\frac{1}{8}[/tex]
According to this, the answer is that each person gets 1/8 of a kilogram of couscous.
Label the terms, coefficients, constants, and variables of : 4x-7+15z-y+20
Answer: see below
Step-by-step explanation:
coefficient: the numerical before a variable (3x)
constant: a number that is represented as an individual (5)
variable: any nonnumerical symbols (x)
-------------------
4x-7+15z-y+20
coefficient: 4 (4x), 15 (15z), -1 (-y)
constant: -7, 20
variable: x, y, z
Hope this helps!! :)
Please let me know if you have any question
75% of the M&Ms in a bag are red. There are 36 red in the class. How many M&M the
bag?
Answer:
48
Step-by-step explanation:
Let x be the total number of M&Ms in the bag.
0.75x = 36 because 75% of the M&Ms are red and there are 36 red M&Ms.
We can divide both sides by 0.75, getting x = 48.
Therefore, there are 48 M&Ms in the bag.
Tom hypothesizes that there is a relationship between air pressure and rainfall. He records air pressure and rain amounts for three months. Each month, he seems to get different results. What is the most likely explanation for this?
Answer:
Missing data points
Step-by-step explanation:
Given that there are 12 calendar months in a year, and there are clearly defined raining season in some areas which may last for months, following periods of low rainfall or zero precipitation, the sample should include all the months of the year so as to ensure, that the effect that causes rainy season such as the landward direction of moist air from the sea or the seaward of air during periods of dry season.
Other possible causes includes;
Heteroscedasicity
This occurs when the variability of the dependent variable is not constant with regards to the independent variable
Multiple linear regression
The relationship between rainfall and air pressure as well as other factors is a multiple linear regression
Una carraca contiene 2’5 decalitros de agua. ¿cuantas botellas de medio litro se necesitan para vaciar la garrafa? SI cada botella se vende a 0’35€,¿ cuánto dinero se obtiene en total ?
Ayudarme pls
Select two ratios that are equivalent to 6 : 10. Choose 2 answers.
Answer:
20:12
32:50
Step-by-step explanation:
all you need to do is multiply each one by how ever number you want them u get you answer then u just choose one.
Answer:
3:5 and 12:20
Step-by-step explanation:
you have to find a number that can divide into both 6 and 10 for example 2 can divide into both and you can multiply 2 both
I NEED HELP FAST PLEASE
Answer:
the correct answer is 1st one
Evaluate the expression 6z+5(-2z-7) for z=-1
Answer:
-31
Step-by-step explanation:
First let's plug in the value of z into the expression as it looks easier than expanding,
6(-1) + 5(-2(-1)-7)
Now we follow the order of PEMDAS,
6(-1) + 5(2-7)
6(-1) + 5(-5)
-6 - 25
-31
What number is 30% larger than 2000
What number is 30% smaller than 2,600
Answer:
a) 2600
b) 1820
Step-by-step explanation:
let the number be 'x'
a)
[tex]x = 2000 + \frac{30}{100} (2000)[/tex]
[tex]x = 2000 + 600 = 2600[/tex]
b)
[tex]x = 2600 - \frac{30}{100} (2600)[/tex]
[tex]x = 2600 - 780 = 1820[/tex]
Hope it helps... ;-)BRAINLIEST PLEASEProblem IDPRAQT48 At the beginning of a trip, a car's gasoline tank contained 14 1/5 gallons of gas. At the end of the trip, it contained 8 2/3 gallons. How many gallons of gas did the car use?
Answer:
5 8/15 Gallons
Step-by-step explanation:
Step 1: Change mixed numbers into improper fractions.
14 1/5 = 71/5
8 2/3 = 26/3
Step 2: Change the improper fractions to have the same denominator.
71/5 = 213/15
26/3 = 130/15
Step 3: Subtract
213/15 - 130/15 = 83/15
Step 4: Simplify
83/15 = 5 8/15
Hope this helps! :D
Answer:
i need points sorry :D
Step-by-step explanation:
it is 12 degrees colder in the mountains than in the valley. The temperature on the mountain is x. The temperature in the valley is y
Eleven less than a number (x) is 12.
Answer: 23
Step-by-step explanation:
eleven less than (x)=x-11
x-11=12
x=23