Answer:
False
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] , then
[tex]10^{3}[/tex] × [tex]10^{14}[/tex] = [tex]10^{(3+14)}[/tex] = [tex]10^{27}[/tex]
find the least common multiple of 5, 6, and 20
Answer:
60
Step-by-step explanation:
Maths.
5*12=60
6*10=60
20*3=60
Answer:
5*6=30
30*2=60
20*3=60
Least common multiple is 60
Which expression is equivalent to the given expression? 2x^2-11x-6
Answer:
X=-1/2,6
Step-by-step explanation:
Answer:
(2x+1) (x-6)
Step-by-step explanation:
I think this is right
If [tex]f(x)=x^2-2[/tex] and [tex]g(x)=3x[/tex], what is [tex](f\circ g)(2)[/tex]?
Answer:
[tex]\boxed{f(6) = 34}[/tex]
Step-by-step explanation:
Composition of functions occurs when we have two functions normally written similar or exactly like f(x) & g(x) - you can have any coefficients to the (x), but the most commonly seen are f(x) and g(x). They are written as either f(g(x)) or (f o g)(x). Because our composition is written as [tex](f \circ g)(2)[/tex], we are replacing the x values in the g(x) function with 2 and simplifying the expression.
[tex]g(2) = 3(2)[/tex]
[tex]g(2) = 6[/tex]
Now, because we are composing the functions, this value we have solved for now replaces the x-values in the f(x) function. So, f(x) becomes f(6), and we use the same manner as above to simplify.
[tex]f(6) = (6)^2-2[/tex]
[tex]f(6) = 36-2[/tex]
[tex]f(6) = 34[/tex]
Therefore, when we compose the functions, our final answer is [tex]\bold{f(6) = 34}[/tex].
Answer:
[tex]\large\boxed{34}[/tex]
Step-by-step explanation:
[tex]f(x) = x^2 - 2[/tex]
[tex]g(x) = 3x[/tex]
[tex](fog)(2)[/tex]
Find g(2)
[tex]g(x) = g(2)[/tex]
[tex]x=2[/tex]
[tex]3x = 3(2) = 6[/tex]
[tex]g(2) = 6[/tex]
Find f(6)
[tex]f(x) = x^2-2[/tex]
Substitute
[tex]f(6) = x^2 - 2[/tex]
[tex]x^2 - 2 = 6^2 - 2[/tex]
[tex]36 - 2 = 34[/tex]
[tex]\large\boxed{34}[/tex]
Hope this helps :)
A train is moving at a rate of 65 miles/hour toward a railroad marker located 200 miles away. Which equation could be used to find the time it will take for the distance between the train and the railroad marker to be 4 miles apart, where h represents the time in hours? A. |4 + 65h| = 200 B. |200 − 65h| = 4 C. |65 − 4h| = 200 D. |200 − 4h| = 65
Answer:
|200-65h|=4
Step-by-step explanation:
The required equation to find the time it will take for the distance between the train and the railroad marker to be 4 miles apart, where h represents the time in hours is | 200 - 65h | = 4. Option B is correct.
Given that,
A train is moving at a rate of 65 miles/hour toward a railroad marker located 200 miles away.
Distance is defined as the object traveling at a particular speed in time from one point to another.
Let the time be h and the distance traveled by train in time h is 65h.
Since at time h the distance between the train and rail road maker is 4 miles,
So the expression can be given as train traveled 65h distance to reduce the distance of 200 miles to 4 miles
| 200 - 65h | = 4
MODULUS is used because distance can never be negative.
Thus, the required equation to find the time it will take for the distance between the train and the railroad marker to be 4 miles apart, where h represents the time in hours is | 200 - 65h | = 4.
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A dolphin ia at the surface of the water and then sescends to a depth of 4.5 feet. Then the dolphin swims down another 2.75 feet. What is the location of the dolphin relative to the surface of the water?
Answer:
-7.25
Step-by-step explanation:
because the dolphin is going down, its negative so you add -4.5+-2.75
Evaluate the expression if x = 9 and y = 2. 5x + y
Plzzz help me I will give you brainliest Plz try to give both ans if you don't know then just give 11 b ans
Answer:-11a) 1024+5120x+11520x²
11b) 1024+10240y+30720y²
12) p=256,q=-256 & n=8
Rapid Rental Car charges a $40 rental fee, $20 for gas, and $0.55 per mile driven. For the same car, Capital
Cars charges $50 for rental and gas and $0.65 per mile.
Answer:
100 miles they willl be the same price
Step-by-step explanation:
a rectangular sandbox has a width of 15 ft and a length of X feet which expression represents the perimeter of the sandbox
Answer:
2x + 30
Step-by-step explanation: I took the test
2x + 30 is the representation of the perimeter of the sandbox.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width).
The perimeter of a rectangle is given by
⇒ 2( length + width)
So,
Perimeter = 2(X + 15)
Perimeter = 2x + 30
Hence "2x + 30 is the representation of the perimeter of the sandbox".
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A regulation baseball field measures 90 feet between each base.What is the distance around the bases in meters?
Answer:
360 ft
Step-by-step explanation:
to find the total distance between the bases, you would multiply 90 by 4!
if it helps, since there are 4 bases, each of them being the same distance apart, they would make a square. each side of the square would be 90 ft. then find the perimeter! 90×4=360!
Find all possible values of the expression 1/y if: 5
Answer:
1/5
Step-by-step explanation:
Evaluate the function f(x) = x2 + 1 for f(2).
05
07
01
Answer:
5
Step-by-step explanation:
a recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.
Leah scored 35 points in a basketball game and she scored x points in the
first half of the game. Write an expression to determine the number of
points she scored in the second half of the game. Then, find the number
of points she scored in the first half of the game if she scored 17 points in
the second half of the game.
x = # of points scored in the first half of the game
35 - x <---- This expression tells us how many points Leah scored in the second half of the game.
Leah scored 17 points in the second half of the game, let's set our expression equal to 17
35 - x = 17
Subtract 35 from both sides
-x = -18
Divide both sides by -1
x = 18
Leah scored 18 points in the first half of the game.
Find the GCF of the numbers 45 and 76 using lists
of factors.
Answer:
The factors of 45 are: 1, 3, 5, 9, 15, 45
The factors of 76 are: 1, 2, 4, 19, 38, 76
Then the greatest common factor is 1.
Step-by-step explanation:
There are no common factors other than 1
Answer:
the GCF is 1
trust me when i say this
Simplify by combining like terms.
1. -5a - 4a + b
The function g(x) = 3x + x is an odd function. Which transformations of g(x) would result in odd functions? Check all
that apply
0-9(x)
g(2x)
g(x - 1)
g(x) - 3
Og(-x)
Answer:
-g(x),g(2x),g(-x)
Step-by-step explanation:
if n represents a number, write an expression for the quantity three less than twice this number divided by the quantity 7 more than the square of this number .
Answer:
(2n / n^2 + 7) - 3 i think
Step-by-step explanation:
hope this helped a little bit :))
The mathematical expression will be (2n / n² + 7) - 3.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that the quantity three is less than twice this number divided by the quantity 7 more than the square of this number.
The required expression will be written as:-
E= (2n / n² + 7) - 3.
Therefore, the mathematical expression will be (2n / n² + 7) - 3.
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Simplify each expression using an exponent rule learned in class. [tex](\frac{y}{x} )^{4}[/tex]
Hey there! I'm happy to help!
If you raise a fraction to an exponent, you apply that exponent to the numerator and the denominator. This would give us [tex]\frac{y^4}{x^4}[/tex].
Have a wonderful day! :D
Since the exponent is outside the fraction, you apply the exponent to both the numerator and denominator.
(y/x)^4 = y^4/x^4
Best of Luck!
tony owns a special pet store that sell only snake and elephant. currently, he has a total of 11 snake and elephant in stock. The animals that he has he has in stock have a total of 12 legs. how many of his animal are snake
Answer:
There are 8 snakes.
Step-by-step explanation:
12/4=3
11-3=8
I need help on the question in the attachment
Answer:
First option
Step-by-step explanation:
To make x on its own you have to take away 20 from the left side (that is where x is) and whatever you do to one side, you do to the other
Soccer balls go on sale for $7.50 each. The store also sells footballs and the manager wants to earn a daily profit of $400 from both items. The equation y=-4x^2+80x-150 models the store’s daily profit, y, for selling footballs at x dollars. Explain how to find the price per football needed to meet the goal.
Answer:
The price for footballs is $5.46 and $14.54.
Step-by-step explanation:
Using the information that we have about the soccer ball prices, we can find out their daily profit to see how much the footballs daily profit should be. Plugging in 7.50 into the equation, we get 232.5 as their daily profit. To find what the footballs daily profit should be, we must minus 232.5 from 400. This ends up with 167.5
Now to find the price of the footballs, we must plug 167.5 into the equation and use the quadratic formula to find the prices.
Hope this helps : )
Answer:
At $7.50 per soccer ball, they earn a daily profit of $232.50.
The store needs to earn a daily profit of $400 – $232.50 = $167.50 from footballs.
Solve 167.50 = –4x2 + 80x – 150 to find the price for footballs: x = $5.46 and $14.54.
m/3-6=-1 What is the answer help me fasssssssssssssssssssst
M/3-6=-1
The answer is M=15 !!
Answer:
M= 15
Step-by-step explanation:
hope i got it right
Solve the triangle if C = 120°, B = 50°, and c = 15.
Find A.
Round to the nearest tenth.
Answer:
A = 10°a = 3.0b = 13.3Step-by-step explanation:
The law of sines is useful. First we need to find the remaining angle.
A + B + C = 180°
A = 180° - B - C = 180° -50° -120°
A = 10°
Now we can find the other two sides.
a/sin(A) = c/sin(C)
a = c(sin(A)/sin(C)) = 15(sin(10°)/sin(120°)) ≈ 3.00767 ≈ 3.0
b/sin(B) = c/sin(C)
b = c(sin(B)/sin(C)) = 15(sin(50°)/sin(120)) ≈ 13.2683 ≈ 13.3
___
The solution is A = 10°, a = 3.0, b = 13.3.
Jimmy know the route from his house to his school, and can name each street along the way.
This statement is an example of -? (WG. 1c)
Group of answer choices
I. Mental map
ii.Absolute location
iiiPrimary source
ivA thematic map
Write a positive or negative number that represents: a loss of 15 yards in a football game
Answer:
Answer might be -15
Step-by-step explanation:
Because loss means lose so loss of 15 would probably be -15.
what is 456.2 in scientific notation
Answer:
4.562 × [tex]10^{2}[/tex]
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Answer
Step-by-step explanation:
(5,1) (-2,3) in standard form
Answer:
2x+7y=17
Step-by-step explanation:
What is x? x−3/7=4 ty :)
Answer:
x=4 and 3/7, or 31/7. Unless you forgot to put parenthesis in the question.
Step-by-step explanation:
x-3/7=4
x=4+3/7
x=4 and 3/7 or 31/7
If the question was (x-3)/7=4, the answer would then be x=31.
(x-3)/7=4
x-3=4*7
x-3=28
x=31
Answer:
x=31/7
Step-by-step explanation:
x−3/7=4
x=3/7+4
x=3/7+28/7
x=31/7
87
What is the nearest tenth
Answer:
90
Step-by-step explanation:
You round up to 90........
