copy and complet the table compare the values of 2^x-2 with the values of 2^x-2
Answers
#2^(x-2)
For 2
2^(2-2)=2⁰=1For 3
2^(3-2)=2For 4
2^(4-2)=2²=4For 5
2^{5-2}=2³=8For 6
2^{6-2}=2⁴=16#2^x-2
For 2
2²-2=2For 3
2³-2=6For 4
2⁴-2=14For 5
2⁵-2=30For 6
2⁶-2=62Answer:
[tex]\large \begin{array}{| l | c | c | c | c | c |}\cline{1-6}x & 2 & 3 & 4 & 5 & 6\\\cline{1-6} 2^x-2 &2 &6 &14& 30 & 62 \\\cline{1-6} 2^{x-2} & 1&2 & 4& 8& 16\\\cline{1-6}\end{array}[/tex]
[tex]\large \text{$ 2^x-2 $}:[/tex]
[tex]x=2 \implies 2^2-2=2\\x=3 \implies 2^3-2=6\\x=4 \implies 2^4-2=14\\x=5 \implies 2^5-2=30\\x=6 \implies 2^6-2=62[/tex]
[tex]\large \text{$ 2^{x-2} $}:[/tex]
[tex]x=2 \implies 2^{2 -2}=1\\x=3 \implies 2^{3 -2}=2\\x=4 \implies 2^{4 -2}=4\\x=5 \implies 2^{5 -2}=8\\x=6 \implies 2^{6 -2}=16[/tex]
Related Questions
The hypotenuse of a right triangle measures 2 square root 15 centimeters and its shorter leg measures 2 square root 6
centimeters.
What is the measure of the larger acute angle of the triangle? Round your answer to the nearest
tenth of a degree.
Answers
Answer:
50.8°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between side lengths and trig functions for a right triangle. Here, you are given the short side and the hypotenuse, and asked for the largest acute angle.
__
The short side is adjacent to the largest acute angle, so the relevant relation is ...
Cos = Adjacent/Hypotenuse
cos(β) = (2√6)/(2√15) = √0.4
The angle measure is found using the inverse cosine function:
β = arccos(√0.4) ≈ 50.8°
The larger acute angle is about 50.8°.
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why A DEF= AJKL?
Check all that apply.
D
O A. LL
B. HL
C. LA
D. ASA
E. SAS
OF. AAS
Answers
The option (C) LA and (D) ASA are correct because two angles and one side are the same.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
From the triangle DEF and triangle JKL
∠D = ∠J (given)
∠F = ∠L (given)
ED = KJ (given)
∴ Triangle DEF and triangle JKL are congruent by the ASA
ΔDEF≅ΔJKL
Also:
∠F = ∠L (given)
ED = KJ (given)
ΔDEF≅ΔJKL by LA
Thus, the option (C) LA and (D) ASA are correct because two angles and one side are the same.
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How much water does it take to completely fill a pool that is 50 m long, 25 m wide, and 2.5 m deep?
:)
Answers
Answer: 3125m
Step-by-step explanation:
volume = h · d · w
V= 2.5 * 50 * 25
v= 3125
Find the volume of a cylindrical tank whose radius is
10cm and the height is 21cm. (Take T=22/4)
Answers
Answer:
Question:Find the Volume of a Cylindrical Tank whose radius is 10cm and the height is 21cm. (Take π = [tex] {\bold{\frac{22}{7}}}[/tex])
Answer:We know that,
[tex] \quad [/tex][tex] \quad [/tex][tex] { \boxed{ \sf{Volume \: of \: Cylinder =\pi {r}^{2}h }}}[/tex]
➛ [tex] { \large{\frac{22}{7} \times {(10)}^{2} \times 21}} [/tex]
➛ [tex] { \large{ \frac{22}{7} \times 10 \times 10 \times 21 }} [/tex]
➛ [tex] { \large{ \frac{22}{7} \times 100 \times 21 }} [/tex]
➛ [tex] { \large{ \frac{22}{{ \cancel{7}} ^{1} } \times 100 \times { \cancel{21}}^{3} }} [/tex]
➛ [tex] 22 \times 100 \times 3 [/tex]
➛ [tex] 22 \times 300 [/tex]
➛ [tex] { \boxed{ \green{6600{ \rm{ {cm}^{3}}} }}} [/tex]
Thus, The volume of Cylindrical Tank is[tex]{ \bold{ \: 6600{ { \bold{ {cm}^{3}}} }}}[/tex].
Three people, Adam, Becky and Charley, each lie 1/3 of the time at random, otherwise they tell the truth. A fair coin is flipped, and they all see it. They all say it is heads. What is the probability the coin was actually tails?
Answers
[tex] \frac{1}{3} [/tex]
to find:the probability of the coin.
solution:lie:[tex]( \frac{1}{3} ) \times ( \frac{1}{3}) \times ( \frac{1}{3} )[/tex]
[tex] = \frac{1}{27} [/tex]
there's 1/27 chance of them to lie.
truth:[tex]( \frac{2}{3} ) \times ( \frac{2}{3} ) \times ( \frac{2}{3} )[/tex]
[tex] = \frac{8}{27} [/tex]
there's 8/27 chance that all of them told the truth.
probability:[tex]( \frac{8}{27} ) \div (( \frac{8}{27} ) + ( \frac{1}{27} ))[/tex]
[tex] = \frac{8}{9} [/tex]
therefore, between those two chances, it's an 8/9 chance it's actually Heads.
1. New school desks were made for your school for the upcoming school year. The total
cost of making these desks is related to the amount that are made. This is shownin the
table below:
pls help its 100 points
Answers
Take 2 points
(21,1517)(47,2609)#a
Find slope
m=2609-1517/47-21m=1092/26m=$42#b
Find equation y inetercept is our answer
y-1517=42(x-21)y-1517=42x-882y=42x+635b=635
#c
Put x=250So
y=42(250)+635y=$11135A store has an item listed for $48.95. On Saturday they are having a 20% off sale where they give a 20% discount to all items in the store. What is the sale price of this item on Saturday? Round appropriately.
(A) None of these
(B) $58.74
(C) $9.79
(D) $28.95
(E) $39.16
Answers
Answer:
(E) $39.16
Step-by-step explanation:
listed price = $48.95
discounted price on saturday = $48.95 x 80% = $39.16
150 books are divided into 3 stacks. The 1st one has 30 more than the 2nd stack, 2nd stack has twice as many books in the 3rd stack. How many books are there in 3rd stack? (N represents the number of books in the 3rd stack.)
Answers
======================================================
Explanation:
N = number of books in the 3rd stack2N = number of books in the 2nd stack, since there are twice as many books here.2N+30 = add on 30 to the previous amount to get the number of books in the first stackIn other words,
1st stack = 2N+302nd stack = 2N3rd stack = NN is some positive whole number.
Add up all those expressions and set the sum equal to the 150 books total. Solve for N.
(1st stack) + (2nd stack) + (3rd stack) = total
(2N+30) + (2N) + (N) = 150
(2N+2N+N) + 30 = 150
5N + 30 = 150
5N = 150-30
5N = 120
N = 120/5
N = 24 which is the number of books in the 3rd stack
2N = 2*24 = 48 is the number of books in the 2nd stack.
2N+30 = 2*24+30 = 48+30 = 78 books in the 1st stack
Check:
1st+2nd+3rd = 78+48+24 = 150
The answer is confirmed.
Write seven tenths as a decimal
Answers
Answer:
seventh tenths as a decimal are 0.7
eathan answer 80% correctly on his history test he correctly answers 32 enter the amount of questions on his test
Answers
Answer:
40 questions.
Step-by-step explanation:
By proportion:
80 % is equivalent to 32 questions
So 100% .. .. .. .. .. .. (32/80) * 100
= 32 * 5/4
= 160/4
= 40
Answer:
40
Step-by-step explanation:
80/100=32/x
You can also set this up with a diagram.
x=40
Use the data set to answer the question. PLS NEED HELP!! No files or links please! :))
{122,132,155,198,213,225,261,280}
What is the mean absolute deviation for the data set?
Enter your answer as a number rounded to the nearest tenth, like this: 42.5
Answers
46.5
[tex]\bold{EXPLANATIONS:}[/tex]
Out of 90 scientists who study dinosaurs, 30 study the T-Rex, 22 study the Brontosaurs and 10 study both. How many of this group of scientists studies another speices of dinosaurs?
Answers
Answer:
it 152 u have to add 3 time like this
90+10+30+ it gives you 152
Step-by-step explanation:
hope this works or help
While walking to school you pass a barn with a silo. Looking up to the top of the silo you estimate the angle of
elevation to the top of the silo to be about 14°. You continue walking and find that you were around 40 m from
the silo. What is the height of the silo?
Answers
Answer:
9.97 meters
Step-by-step explanation:
The silo is one leg of a right triangle the other leg is the distance from the silo
for a right triangle tan = opposite side / adjacent side
tan(14) = height/40
40 tan 14 = height = 9.97 m
someone help me solve this
Answers
Answer:
Looking at the given points we know that it is going to be rectangle because we have 4 points. Therefore the figure is a rectangle and the area formula would be [tex]A=l*w[/tex].
You can look at the attached graph and what we see is that our width of the rectangle is from [tex]y=-4[/tex] to [tex]y=3[/tex] which means that our height is 7 units wide. We can also see that our length starts at [tex]x=-1[/tex] and ends at [tex]x=4[/tex] making us have a length of 5 units.
We then plug in the values and solve
[tex]A = 7\ units * 5\ units[/tex]
[tex]A = 35\ units^2[/tex]
Therefore, the area of our rectangle is [tex]35\ units^2[/tex]
Hope this helps! Let me know if you have any questions
What is the range of f(x)=5/x^4
Answers
Answer:
(0,∞) , {y|y>0}
Step-by-step explanation:
What is the mean of this data set?
{10, 5, 7, 9, 5, 18}
Enter your answer in the box.
Answers
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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What is the mean of the dataset (10, 5, 7, 9, 5, 18)?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
Mean [tex]\rightarrow[/tex] 9
[tex]\blue{\textsf{\textbf{\underline{\underline{How to solve:-}}}}[/tex]
First, add all the numbers together:-
10+5+7+9+5+18
[tex]\textsf{54}[/tex]
Now divide by how many numbers there are (6):-
54:6=9
So the mean of the dataset is 9.Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer:
9
Step-by-step explanation:
To find the mean, add up all the numbers and then divide by the number of terms
(10+5+7+9+5+18)
54
There are 6 terms
54/6=9
The mean is 9
Please help me on this!
Answers
The correct statement is the first one. g(x) exceeds f(x) by 72.
Which statement is true?
By looking at the table, we can see that f(x) is a linear function and g(x) is an exponential function, such that:
f(x) = 10 + 3x
g(x) = (1/2)^x
By evaluating these functions in x = -6 we get:
[tex]f(-6) = 10 - 3*6 = -8[/tex]
[tex]g(-6) = (1/2)^{-6} = 64[/tex]
The difference is:
g(-6) - f(-6) = 64 + 8 = 72
Then the correct option is the first one, g(x) exceeds f(x) by 72.
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Decide if the situation involves permutations, combinations, or neither. explain your reasoning.
the number of ways you can choose 5 beach towels from a selection of 8 to bring on vacation
Answers
The number of ways you can choose 5 beach towels from a selection of 8 to bring on vacation is a combination problem
Permutation and combinationPermutation has to do with arrangement while combination has to do with selection.
When choosing an object from other pool of object, we will have what is called combination.
From the given question, we are told that the number of ways you can choose 5 beach towels from a selection of 8 to bring on vacation, since they are selecting, hence the situation involves combination.
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Is π^2 greater or less than 7.2?
Answers
Answer:
less than
Step-by-step explanation:
Well pi divided by 2 is 1.57 and you need to figure out if 7.2 is greater than or less than pi^2 aka 1.57 so theres your ansewr
Answer:
greater
Step-by-step explanation:
π = 3.1425.....
π > 3
π^2 > 9 > 7.2
if you run for 30 mintes at a speed of 8 miles per hour how many feet wpuld you hav erun
Answers
Answer:
not sure if this is correct but i tried (1267200 feet)
Answer:
21120 ft
Step-by-step explanation:
We need to change 8 miles per hour to feet per minute
8 miles 5280 ft 1 hour
----------- * ---------- * ----------
hour 1 mile 60 minutes
704 ft/ minute
Now multiply by 30 minutes
704 ft / minute * 30 minutes =21120 ft
Can someone solve number 1 only
Answers
Answer:
24.00
Step-by-step explanation:
hope this helps
Help its timed 35 points
Answers
x = 36
Angle 1 = 108
Angle 2 = 72
Explanation: Angle 1 & Angle 2 are supplementary, equaling to 180 You can just add them both and then equal to 180.
3x + 72 = 180
come get a brainliest
Answers
Answer:
the answer of first one is19
the answer of second is14
ill give 30 points for the answer bro: In the figure, c || d. What are the measures of ∠1 and ∠2?
Answers
Answer:
angle 1 is 15, angle 2 is 75
Step-by-step explanation:
angles 1/2/3/4 is the same as 5/75 degrees/7/8 respectively
Which equation can be used to find the surface area of the cylinder? a cylinder with a radius of 4 inches and height of 16 inches. s = 2 pi (4) squared 2 pi (4) (16) s = 2 pi (8) squared 2 pi (8) (16) s = 2 pi (16) squared 2 pi (16) (4) s = 2 (4) squared 2 (4) (16)
Answers
The equation we can use to find the surface area of the cylinder is: 2π(4)(16 + 4).
What is the Surface Area of a Cylinder?Surface area of a cylinder = 2πr(h + r), where h is the height and r is the radius of the cylinder.
Given the following:
Radius = 4 in.Height = 16 in.Equation to find the surface area of the cylinder = 2π(4)(16 + 4)
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Please help will mark brainliest 5 points
Answers
Answer:
D. Graph D
Step-by-step explanation:
First, off me know that that equation is in slope-intercept form.
Therefore, your y-intercept is (0,1)
Then you need to find the slope by using two points on a graph and using the y2-y1/x2-x1 equation.
Now you need to pay attention to the sigh. It's [tex]\leq[/tex].
That means it is greater than or equal to ur y-intercept, it must be shaded do the side of numbers greater to 1 (ur y-intercept.)
Giving you D.
The line is solid and on the right side
A salsa recipe uses green pepper, onion, and tomato in the extended ratio 1 : 5 : 7. How many cups of onion are needed to make 117 cups of salsa?
Answers
Answer:
We need 45 cups on onion
Step-by-step explanation:
green pepper : onion: tomato: total
1 5 7 13
We have 117 total so divide by 13
117/13 = 9
Multiply each number by 9
green pepper : onion: tomato: total
1*9 5*9 7*9 13*9
9 45 63 117
We need 45 cups on onion
14 ft
16 ft
5 ft
What is the Surface Area??
Answers
Answer:
0.805ft
Step-by-step explanation:
she determines the surface area of material she needs to create
Eric made a scale drawing of the auditorium. The stage, which 15 35 feet wide in real life,
Is 5 ipches wide in the drawing, What is the scale of the drawing?
by
Answers
Simplify by dividing by dividing the numerator and denominator by 5: 1/7
Therefore the scale of the drawing is 1/7
please help me out with this here is a screen shot
