Answer:
see below
Step-by-step explanation:
2^30
-------
8^9
Rewriting
8^9
2^3 ^ 9
We know a^b^c = a^(b*c)
2^(3*9) = 2^27
2^30
-------
2^27
We know a^b / a^c = a^(b-c)
2^(30-27) = 2^3
Assuming you mean 2^x
2^3 = 2^x
x=3
If you mean 2x
2^3 = 8
8 = 2x
Divide by 2
4 =x
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{2^{30}}{8^9}=2x}[/tex]
[tex]\mathsf{2^{30}}\\\mathsf{= \bf 1,073,741,824}\\\\\mathsf{8^9}\\\mathsf{= \bf 134,217,728}[/tex]
[tex]\mathsf{\rightarrow \dfrac{1,073,741,824}{134,217,728}= 2x}\\\\\\\mathsf{\dfrac{1,073,741,824}{134,217,728}= \bf 8}\\\\\\\mathsf{\rightarrow \ 8 = 2x}\\\\\\\\\large\textsf{TURN\ the\ EQUATION\ around}\\\\\\\mathsf{\rightarrow\ 2x = 8}\\\\\\\large\textsf{DIVIDE 2 to BOTH SIDES}\\\\\\\mathsf{\dfrac{2x}{2}=\dfrac{8}{2}}\\\\\\\large\textsf{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\textsf{ because it gives you 1}\\\\\\\large\textsf{KEEP: }\mathsf{\dfrac{8}{2}}\large\textsf{ because it gives you the answer of x}[/tex]
[tex]\mathsf{x = \dfrac{8}{2}}\\\\\\\mathsf{x = 8\div 2}\\\\\\\mathsf{x = \bf 4}\\\\\\\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 4}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which function is increasing?
Answer:
A, it's the only one with a number greater then 1
for every 8 dollar oliver earns, he saves 4.2 dollar. how much will he save if he earns 180?
Answer:
94.5
Step-by-step explanation:
Every 8 dollars means he saves 4.2 dollars
180 ÷ 8 = 22.5
22.5 × 4.2 = 94.5
Answer: 94,5
180:8 *4,2=22,5 *4,2 =94,5
Step-by-step explanation:
What is the volume of the pyramid below?
Answer:
96m³
Step-by-step explanation:
Base area = 8×6/2 = 24 m²
Height = 12 m
Volume of a pyramid = 1/3 × Base area × Height
= 1/3 × 24 × 12
= 288/3
= 96 m³
Answered by GAUTHMATH
HELP PLEASE IM GONNA FAIL
21. Identify as a function or not a Function
Answer:
First one: function
Second one: not a function
Step-by-step explanation:
A function is a relationship where each input has it's own unique output. If an input has more than one output then the relationship is not a function
For the first one no x value repeats meaning each input has it's own output therefore it is a function
For the second one the x value 8 has more than 1 output therefore the second one is not a function
hello, help needed. show work please. 55 points!! due today.
Answer:
see below
Step-by-step explanation:
x+5
y = ----------------------
x^2 - 2x+1
Since the degree of numerator < degree of denominator ( 1 < 2) there is a horizontal asymptote: y = 0
If ABCD is dilated by a factor of }, the
coordinate of B' would be:
5
С
4
3
B
2
1
-5
4 3
-2
-10
1
2
3
4
5
-1
A
B' = ([?], [ ]
D
-3
Enter
Answer:
If ABCD is If ABCD is dilated by a factor of }, the
coordinate of B' would be:2
Find the value of x for which ABCD must be a parallelogram
a. 1
b. 94
c. 3
d. 47
Answer:
c. 3
Step-by-step explanation:
BC||AD so <CBD=<BDA
15x+2=9x+20
15x-9x=20-2
6x=18
x=3
(x^2-4x)^2+(x-2)^2+10
Answer:
x^4-8x^3+17x^2-4x+14
Step-by-step explanation:
Answer:
nan
Step-by-step explanation:
see the above picture
Sara brought a car for 16,586 and paid 1,038 for tax, title, and registration.Which equation shows about how much Sara paid, to the nearest hundred?
Answer:
P+T+t+R=TA
Step-by-step explanation:
this should help
Answer:
17,600
Step-by-step explanation:
16,586 + 1,038 = 17,624 ≈ 17,600
how did they get 3/4 ?
someone please help me explain
Answer: 0.6/0.8
= (0.6*100)/(0.8*100) {multiplying by 100 in both numerator and denominator}
= 60/80 (cut the zero)
= 6/8 (cut by 2)
= 3/4
An aircraft carrier can travel 450 km in the same time a container ship travels 300 km. If the aircraft carrier was travelling 5 km/h faster what was the speed of the container ship?
Answer:
10 Km/h
Step-by-step explanation:
Let the speed of the container ship be y
The speed of the aircraft = y + 5
Next, we shall determine the time taken by the aircraft to travel 450 Km. This can be obtained as follow:
Speed of aircraft (Sₐ) = y + 5
Distance travelled (dₐ) = 450 Km
Time for aircraft (tₐ) =?
Speed = distance / time
Sₐ = dₐ / tₐ
y + 5 = 450 / tₐ
Cross multiply
(y + 5) × tₐ = 450
Divide both side by (y + 5)
tₐ = 450 / (y + 5)
Finally, we shall determine the speed of the carrier. This can be obtained as follow:
Speed of container ship (S꜀) = y
Distance travelled (d꜀) = 300 Km
Time for container ship (t꜀) = Time for aircraft (tₐ)
Time for aircraft (tₐ) = 450 / (y + 5)
t꜀ = tₐ
t꜀ = 450 / (y + 5)
Speed = distance / time
S꜀ = d꜀ / t꜀
y = 300 ÷ 450 / (y + 5)
y = 300 × (y + 5) / 450
y = (300y + 1500) / 450
Cross multiply
450y = 300y + 1500
Collect like terms
450y – 300y = 1500
150y = 1500
Divide both side by 150
y = 1500 / 150
y = 10 Km/h
Thus, the speed of the container ship is 10 Km/h.
Question Two please help
Answer:
The similarity statement is RTS and ACB. Other options are correct
PLZZZZZZ HELPPPPPPPP!!!!
Answer:
[tex]3 \frac{3}{5} [/tex]Step-by-step explanation:
Given,
Vince used a cup of lemonade will be = 3/5
We know that,
Amount of lemonade used by Luva is 6 times of Vince
Therefore,
Lemonade used by Luca
[tex] = \frac{3}{5} \times 6[/tex]
[tex] = \frac{18}{5} [/tex]
[tex] = 3 \frac{3}{5} (ans)[/tex]
A translation is shown on the grid below. Which are true statements about the translation?
The sides of the image and pre-image are congruent
Each point has moved the same number of units
Can you help please please helps
Answer:
2nd option
Step-by-step explanation:
Given
- np - 6 ≤ 3(c - 5) ← distribute
- np - 6 ≤ 3c - 15 ( add 6 to both sides )
- np ≤ 3c - 9
Divide both sides by - p , reversing the symbol as a result of dividing by a negative quantity.
n ≥ [tex]\frac{3c-9}{-p}[/tex]
The slopes of 2 lines are in the attachment. what is the value of ‘a’ that will make the lines PARALLEL and PERPENDICULAR
Answer:
a. a = -12
b. a = 27
Step-by-step explanation:
a. Two lines that are parallel have the same slope, making the slopes equal ot each other:
[tex]-\frac{3}{2} =\frac{18}{a}[/tex]
We can cross multiply and solve for a:
[tex]-3a = 36\\a = -12[/tex]
b. Two lines that are perpendicular have the negative reciprocal of each other. This means that you would flip the fraction and multiply by a negative as shown below:
[tex]-\frac{3}{2} --> \frac{2}{3}[/tex]
This would be the slope of the other line, so we can write:
[tex]\frac{2}{3} = \frac{18}{a}[/tex]
as both expressions express the slope of the same line. We can cross multiply and solve to get:
[tex]2a = 54\\a = 27[/tex]
kendra is 3 times her duahters age plus 7myears kendra is 49 years old. write an equation to find her duaters age
Answer:
Kendra's daughter is 14 years old.
Step-by-step explanation:
If I'm reading this correctly, it says "plus 7 more years." I'm writing my equation based off that phrase being true.
Set up equation:
Variable x = daughter's age
x × 3 + 7 = Kendra
x × 3 + 7 = 49
3x + 7 = 49
3x = 42
x = 14
Check your work:
14 × 3 + 7 = 49
42 + 7 = 49
49 = 49
Correct!
What table represents a linear function
Answer:
OPTION 1
Step-by-step explanation:
A function has exactly 1 output for every input option 1 is the only one where every x value corresponds to exactly 1 y-value.
Decide whether the graphs of the two equations are parallel. y=3x+8 and y/3-3=x
Answer:
Equation #1:
[tex]y = 3x + 8[/tex]
Equation #2:
[tex]\frac{y}{3} -3=x\\\\\frac{y}{3}=x+3\\\\y=3(x+3)\\\\y=3x+9[/tex]
Parallel equations have the same slope. Since both share the same slope of 3, they're parallel.
If fx) = 2х2 - 5 and g(x) = 3х+3, find (f-g)(x).
ОА. -Х? - 8
В. 3х - 2x2 - 2
Ос. 2х - 3x-2
OD. 2х2 – 3х – 8
Answer:
Solution given:
f(x)=2x²-5
g(x)=3x+3
now
(f-g) (x)=?
we have
(f-g)(x)=f(x)-g(x)
=2x²-5-(3x+3)=2x²-5-3x-3adding or subtracting common term=2x²-3x-8Answer:
[tex]2x^{2} - 3x - 8[/tex]
Step-by-step explanation:
Step 1: Define what (f-g)(x) means
(f-g)(x) means that we have two different functions, f(x) and g(x). (f-g)(x) is a shorter way of writing f(x) - g(x). Therefore you just plug in the equations and combine like terms.
Step 2: Find (f-g)(x)
[tex]f(x) = 2x^{2} - 5[/tex]
[tex]g(x) = 3x + 3[/tex]
[tex](f-g)(x) = 2x^{2} - 5 - (3x + 3)[/tex]
[tex](f-g)(x) = 2x^{2} - 5 - 3x - 3[/tex]
[tex](f-g)(x) = 2x^{2} - 3x - 8[/tex]
Answer: [tex]2x^{2} - 3x - 8[/tex]
3. How many right angles and parallelogram has
Answer:
parallelogram has 4 right angle.
Answer:
It has 4 angles
Step-by-step explanation:
What is the equation of the following line? Be sure to scroll down first to see all answer options.
A.
y = 18x
B.
y = 9x
C.
y = -9x
D.
y = - x
E.
y = -18x
F.
y = x
Answer:
a
Step-by-step explanation:
i took this and got a 100
Answer:
y = 9x
Step-by-step explanation:
other person is so wrong, hope this helps.
Given: The equation of a parabola is x2 = 8y.
Step 3: Where does the directrix for the given parabola lie? Enter the equation for the directrix line. Use your keyboard and the keypad to enter your answer. Then click Done.
Answer:
x=-2
Step-by-step explanation:
Answer:
Since a = 2, the equation for the directrix line will be y = −2.
Step-by-step explanation:
Find the area of a regular
polygon with 7 sides that has a
perimeter of 63 inches and an
apothem of 8 inches.
Answer:
The area of a regular polygon is A = (1/2)ap, where a is the apothem and p is the perimeter of the polygon.
The apothem is 8 inches and the perimeter is 6(7) = 42 since there are 7 sides of 6 inches.
Then the area is
A = (1/2)(8)(42) = 336/2 = 168 in2
I hope this helped!
Edwina and georgia had the same number of bottles.Edwina and georgia had a mix of big bottles and small bottles.Edwina had 5 small bottles while georgi had 16 big bottles.Each small bottles had a a capacity of 400 ml.Each big bottles had a capacity of 600 ml.The total capacity of edwina's bottles was 800 ml more than the total capacity of georgia's bottles
Answer:
20 big bottles
14000 ml
Step-by-step explanation:
Let :
Small bottles = x ; big bottles = y
Capacity of small bottle = 400ml
Capacity of big bottle = 600 ml
Edwina :
Number of small bottles = 5
Georgi :
Number of big bottles = 16
Since Numbe of bottles are siad to be the same :
5 + y = 16 + x
y - x = 16 - 5
y - x = 11
y = 11 + x - - - (1)
Total capacity of Edwina's bottle is 800 ml more Than Georgi's total :
Edwina :
5(400) + 600y
Georgi :
400x + 16(600)
2000 + 600y = 800 + 400x + 9600
2000 + 600y = 10400 + 400x
600y - 400x = 10400 - 2000
600y - 400x = 8400 - - - (2)
Substitute y = 11+x for y in (2)
600(11+x) - 400x = 8400
6600 + 600x - 400x = 8400
200x = 8400 - 6600
200x = 1800
x = 1800 / 200
x = 9
Number of big bottles Edwina has :
y = 11 + x
y = 11 + 9
y = 20
Total capacity of Edwina's bottles :
5(400) + 600y
2000 + 600(20) = 2000 + 12000 = 14000 ml
express 5√72 in simplest radical form.
Answer:
30*sqrt(2)
Step-by-step explanation:
5*sqrt(72)=5*sqrt(36*2)=5*6*sqrt(2)=30*sqrt(2)
1-tanx/1+tanx=1+sin2x
are you sure about the ques?
Hernando's salary was $54,500 last year. This year his salary was cut to $52,355. Find the percent decrease. Round to the nearest tenth of a percent.
Answer:
Decrease by 3.9%
Step-by-step explanation:
54,500(1-x) = 52355
x=0.03935... = 3.935% or 3.9%
Answer:
first we subtract his new salary from the old salary to get the decrease.
Then percentage decrease ,we get the decrease over the new salary and multuply by 100. to get the percentage decrease
Can anyone answer this for me?
Answer:
y = 2 - [tex]x^{2}[/tex]
Step-by-step explanation:
[tex]x^{2}[/tex] results in a parabola (U-shape). Adding a negative in front of it flips the parabola to look like an upside-down U.
The 2 makes it shift up two decimal spots to (0,2).
Find the third angle of a triangle if two of its angles are equal to:
25 degrees and 80 degrees
and
25 degrees and 120 degrees
Answer:
60 degrees
Step-by-step explanation:
Answer:
75 degrees, 35 degrees
Step-by-step explanation:
a. Adding 25 degrees and 80 degrees yields 105 degrees. The third angle of the given triangle must therefore be 180 degrees less 105 degrees, or 75 degrees.
b. Adding 25 degrees and 120 degrees yields 145 degrees. The third angle of the given triangle must therefore be 180 degrees less 145 degrees, or 35 degrees.
