Answers
Step-by-step explanation:
4) p(x)=256
p(x)=2 ^ x+2
256=2 ^ x+2
2⁸= 2 ^ x+2
8=x+2
x=8-2=6
5)243=3 ^ x+3
3×3×3×3×3 = 3 ^ x+3
3⁵= 3^ x+3
5 = x+3
x=5-3=2
Answer:
[tex]p(x) = 256 \\ p(x) = {2}^{(x + 2)} \\ {2}^{(x + 2)} = 256 \\ {2}^{(x + 2)} = {2}^{8} \\( x + 2) = 8 \\ x =( 8 - 2) \\ \boxed{x = 6}[/tex]
x=6 is the right answer.[tex]243 = {3}^{(x + 3)} \\ {3}^{(x + 3)} = {3}^{5} \\ (x + 3) = 5 \\ x = (5 - 3) \\ \boxed{ x = 2}[/tex]
x=2 is the right answer.Related Questions
2x + 3y = -1
5r 2y = 12?
Answers
Nelson used 35% of his savings account for his class trip in May. If he used $140 from his savings account while on his class trip, how much money was in his savings account before the trip?
Answers
Answer:
$400
Step-by-step explanation:
140 ÷ 35% = 400
Some number was divided into 42. This quotient was then multiplied by 8,after which the resulting product was added to 10. Given this sum totalled to 34,find the initial number.
Answers
Answer:
126
Step-by-step explanation:
In order to find the initial number, we need to create the expression that is being mentioned and solve for the initial value by applying the opposite expressions to isolate the variable.
(((x / 42) * 8) + 10) = 34 ... subtract 10 from both sides
((x / 42) * 8) = 24 ... divide both sides by 8
(x / 42) = 3 ... multiply both sides by 42
x = 126
Finally, we can see that the initial value was 126
12 ÷ 4 x ___ = 12
im so confused on this question can you guys help
Answers
Answer:
Step-by-step explanation:
12/4 = 3
3 x 4 = 12
4 is the answer
HELP FAST I'LL MARK YOU BRAINLIEST What is an equation of the line that passes through the point (−2, 3) and is perpendicular to the line whose equation is y = 3/2( x ) − 4?
Answers
Answer: y = -2/3x + 5/3
Step-by-step explanation:
The slope of a perpendicular line is opposite reciprocal --> -2/3Using point given (-2, 3), find b.3 = -2(-2/3) + b3 = 4/3 +b5/3 = bFor each gym memberships sold, the gym keeps $42 and the employee who sold it gets eight dollars. What is the commission of the employee earned as a percentage of the total cost of the gym membership?
Answers
Answer:
i think 7
Step-by-step explanation:
Answer
is there it a multiple choice or just a word problem
Step-by-step explanation:
Are these triangles similar?
Answers
Answer:
B. Yes, by the AA Similarity Postulate
Step-by-step explanation:
This triangles are both similar based on the AA Similarity Postulate. We know that all angles are equal because...
m∠ABE = m∠CBD = 42° (because they are veridical/opposite angels)
m∠AEB = 180° - m∠ABE - m∠EAB = 180° - 42° - 53° = 85°
Then from here we know that
m∠BDC = 180° - 85° - m∠CBD
m∠BDC = 95° - 42°
m∠BDC = 53°
From here we see that they are similar because of the AA Similarity Postulate, since
m∠ABE = m∠CBD = 42°
m∠BDC = m∠EAB = 53°
m∠AEB = m∠BCD = 85°
The octal numeral system is a base 8 positional system that uses the symbols 0,1,2,3,4,5,6,7. Write each base 8 number as a base 10 number. 12 and 117
Answers
Step-by-step explanation:
(12) in base 8
= (1 * 8¹ + 2 * 8⁰) in base 10
= (8 + 2) in base 10
= 10 in base 10.
(117) in base 8
= (1 * 8² + 1 * 8¹ + 7 * 8⁰) in base 10
= (64 + 8 + 7) in base 10
= 79 in base 10.
Using octal numeral system, 12₈ number as 10₁₀ and (117)₈ number as (79)₁₀.
What is octal numeral system?Octal numeral system has "a base of 8 and uses the number from 0 to 7".
According to the question,
a) (12)₈
= (1 * 8¹ + 2 * 8⁰)₁₀
= (8 + 2)₁₀
= 10₁₀.
b) (117)₈
= (1 * 8² + 1 * 8¹ + 7 * 8⁰)₁₀
= (64 + 8 + 7)₁₀
= (79)₁₀
Hence, using octal numeral system, 12₈ number as 10₁₀ and (117)₈ number as (79)₁₀.
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A king owned land outside of his castle he has partitioned the land to give as gifts to his 5 sons what fraction of land did the king give to each of his sons here is zeke solution andy got 1/2 bill got 1/5 carl got 1/5 dirk got 1/8 and evan got 1/8 identify zeke's two errors correct them and explain why your answers are correct
Answers
Picture relating to the question is attached
Answer:
Andy = 1/2
Bill = 1/8
Carl = 1/8
Evan = 1/8
Dirk = 1/8
Step-by-step explanation:
According to the picture depicting the sharing of the land :
Fraction of the total rectangular plot = 1
Andy got a portion of the whole divided into 2 = 1/2
Fraction left after Andy's portion:
1 - 1/2 = 1/2
1/2 of the fraction left was divided equally between Dirk and Evan
Hence ;
1/2 of 1/2 = 1/2 * 1/2 = 1/4
Dirk's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8
Evan's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8
Fraction of land left :
1 - (1/2 + 1/8 + 1/8) = 1 - 3/4 = 1/4
1/4 was divided equally into 2 for Bill and Carl:
Bill's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8
Carl's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8
A recipe for banana oat muffins calls for 3/4 cups of oats. You need to triple the recipe to make enough for your whole family. How much oats do you need?
Answers
Answer: 2 and 1/4 cups of oats (9/4 cups of oats)
Step-by-step explanation:
We know that, for the recipe, we need 3/4 cups of oats.
Now, you want to triple the recipe (then you need to use 3 times more ingredients).
This means that, if for the recipe you needed 3/4 cups of oats, when we triple that we have:
3*(3/4 cups) = 9/4 cups
This means that you need to use 9/4 cups of oats.
And we could also write this as:
9/4 cups = 8/4 cups + 1/4 cups = 2 + 1/4 cups of oats.
(x5 + 5x4 – x3 – 22x2 + x + 6) =
(x2 + 3x - 2)
Answers
Answer:
x = 4/13
Step-by-step explanation:
I hope this helps!
f(x) = 5x + 6; reflection in the x-axis
Answers
Find the gcf of X^2-5x
Answers
Answer: This answer is 1
Step-by-step explanation: Plzz mark brainliest - Lily ^_^
I dont understand this... they do not teach well in my school tbh.
Answers
In parallelogram EFGH if GJ=15 find JE.
F
E
H
Answers
Answer:
15
Step-by-step explanation:
So point j is the midpoint of both of the diagonals in the parallelogram.
That means that JE=GJ
So the answer is 15
On a trip , Joel drove 24 miles more than Rita drove . Together they drove 340 miles . How many miles did Joel drive
Answers
Answer:
U didn't say how many miles Rita drove.
Question 4 (2 points)
Which equation represents a line parallel to the line whose equation is 2y - 5x = 10?
оа
2y + 10x = 8
Ob
4y - 10x = 12
OC
5y + 2x = 10
Od
5y-2x = 25
Question 5 (2 points)
What is the slope of the line perpendicular to the line represented by the equation 2x + 4y = 12?
Answers
Answer:
12
Step-by-step explanation:
The required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.
Given that,
Which equation represents a line parallel to the line whose equation is 2y - 5x = 10 is to be determined.
What is the slope of the line?
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The property of the parallel line state that the slope of the parallel line are always equal.
So the slope of line given in B 4y - 10x = 12 is m = 5 and slope of the given line is m = 5 which are equal.
Thus, the required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.
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Which statements about the diagram are correct? Check all that apply.
BD = 9 in.
AB = 36 in.
DC = 6 StartRoot 3 EndRoot in.
AC = 12 StartRoot 3 EndRoot in.
BC = 18 StartRoot 3 EndRoot in.
Answers
Answer:
(C)DC = 6 StartRoot 3 EndRoot in.
(D)AC = 12 StartRoot 3 EndRoot in.
Step-by-step explanation:
i need help with both please this is due in 10 minutes
Answers
Answer: the first one is a function. the second one is not.
PLz help an show work for brainlist
Answers
Step-by-step explanation:
Its option D
As, for red $12 is charged
So 35 x $12 = 420
And white is $10
So, 20 x 10 = $200
= $420 + $200 = $620
Hope this helps
A 2-D shape has a length of 8cm and a width of 3cm. Find the perimeter and the area.
With steps please.
Answers
Answer:
Area formula: l x w
= 8 x 3
24 cm^2
Perimeter formula: Sum of all sides
= 8+8+3+3
= 25 cm
Answer: 24cm
Step-by-step explanation:
8 multiplied by 3
6th term 25,75,225,675,.... is it arithmetic or geometric. what's the explicit equation and the given term
Answers
Answer:
see explanation
Step-by-step explanation:
There is a common ratio r between consecutive terms, that is
[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{75}{25}[/tex] = 3
[tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{225}{75}[/tex] = 3
[tex]\frac{a_{4} }{a_{3} }[/tex] = [tex]\frac{675}{225}[/tex] = 3
This indicates the sequence is geometric with explicit formula
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 25 and r = 3 , then
a₆ = 25 × [tex]3^{5}[/tex] = 25 × 243 = 6075
2x+3y=3
y=8-3x
The value of y is substituted back into the first equation what is the resulting equation?
what is the value of x?
what is the value of y?
Answers
Answer:
2x + 3 (8 - 3x) = 3
x = 3
y = -1
Step-by-step explanation:
pretty sure thats right! have a great day!
Y= 4x + 2 put this on a graph please
Answers
....................................................
 this one is really hard
Answers
Answer:
142
Step-by-step explanation:
opposite angle theorem
Answer:
D. 142
Step-by-step explanation:
They are vertical angles which are always equal
Need help on this asap please
Answers
Answer:
the second one
so B
Step-by-step explanation:
Answer:
3.15=315% is true
Step-by-step explanation:
The last one D is true
I hope this helps. Best of luck
A truck has traveled 75 miles in 1.5 hours of driving. At the same speed, which proportion can be used to determine how long, T (in hours), it would take the truck to travel 325 miles.
Answers
Answer: 6.5 hours
Step-by-step explanation:
From the question, we are given the information that a truck has traveled 75 miles in 1.5 hours of driving. The miles pee hour travelled will be:
= 75 / 1.5
= 50 miles per hour
The number of hours that the truck will use to travel 325 miles will be:
= 325/50
= 6.5 hours
Ms. Lynette earns $19.50 an hour when she works overtime. She worked overtime twice this week. One day she worked 3 hours of overtime. Her total overtime pay for the week is $146.25.
Write an equation to find the number of overtime hours she worked on the second day, x.
Answers
Answer:
146.25 divided by 2
Step-by-step explanation:
A coin has heads on one side and tails on the other. The coin is tossed 50 times and lands
heads up 19 times. How does this frequency compare to the expected frequency based on
the probability of the coin landing with heads up?
Answers
Answer: A “The Frequency is 31 lower than expected.”
Step-by-step explanation:
The frequency is 12 fewer than expected.
What is relative frequency?Relative frequency or experimental probability is calculated from the number of times an event happens, divided by the total number of trials in an actual experiment.
The experimental relative frequency at which the coin lands heads up is [tex]\frac{19}{50}[/tex] or 0.38.
If the coin were a fair one, we would expect that it had heads up 25 out of 50 times, which would be a relative frequency of 0.50.
Since this is not happening, we conclude that the coin is NOT a fair one.
Expected frequency = 0.50
Experimental relative frequency = 0.38
= 0.50 - 0.38
= 0.12 or 12 %
Hence, the frequency is 12 fewer than expected.
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can someone PLEASE help me find z and x !! (i will mark you brainliest)
Answers
Answer:
X=24 Z=110
Step-by-step explanation: correct me if im wrong because im not 100% sure.
Answer:
z=110° and x=24°
Step-by-step explanation:
z°=(5x-10)°[Being the pair of vertically opposite angle]
z+70°=180[Being the pair of straight angle]
or, z=180-70
z= 110
Again ,
z=(5x-10)°
or, 110=5x-10
or, 110+10=5x
or, 120=5x
or, 120/5=x
x=24°