64
Step-by-step explanation:
[tex]\begin{aligned}\rm f(x)&=\rm\frac{1}{2}\times 2^x\\\rm f(7)&=2^{-1}\times 2^7\\&=2^{-1+7}\\&=2^{7-1}\\&=2^6\\&=2^6\\&=\bf 64\end{aligned}[/tex]
Dorian buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for $26.25. Which less expensive per pound? How much less expensive?
Answer:
apricots is less expensive by $2.24
Step-by-step explanation:
21.98÷2=10.99
26.25÷3=8.75
10.99-8.75=2.24
A coin is tossed 12 times. What is the probability of obtaining five heads and seven tails?
Answer:
99/512 = 0.193359375
Step-by-step explanation:
Each sequence of 5 H's and 7 T's has probability of occurring equal to 1/2^12 (1 divided by 2 to the twelfth power).
Since the number of 5 H, 7 T sequences is equal to C(12,5) = the number of combinations of 12 things taken 5 at a time =
12 * 11 * 10 * 9 * 5 / (5 * 4 * 3 * 2 * 1) =
792,
we have that the probability of obtaining 5 H's and 7 T's =
the sum of the probabilities of all of the sequences =
1/2^12 + 1/2^12 + 1/2^12 + . . . + 1/2^12, 792 times =
792(1/2^12) =
99 / 2^9 =
99 /512 =
0.193359375
A five-speed bicycle has a chain linking the pedal sprocket to the gears on the rear wheel. The ratio of pedal turns to rear-wheel turns in first gear is 8 to 17. How many times in first gear does the rear wheel turn if the pedals turn 160 times?
9514 1404 393
Answer:
340
Step-by-step explanation:
Multiply each number in the ratio by 20:
pedal : wheel = 8 : 17 = 160 : 340
The rear wheel turns 340 times when the pedal turns 160 times.
__
Additional comment
As a reasonableness check, realize that 17 is just slightly more than 2 times 8. Then the number of rear wheel turns will be slightly more than 2 times 160.
Answer the question in the pic pls
If the house is worth 788,000 what is 20% down
Answer:
2.530
Step-by-step explanation:
you can divided
bi 20%
the square of the sum of x and 1
Answer:
(x + 1)^2 the square is x^2 + 2x + 1
The population of a city for years since 2000 is shown below.
Find the exponential function model that best fits this data.
Answer:
qqqqqqqqqqqqqqqqqqqStep-by-step explanation:
ppp
Bob measured a restaurant and made a scale drawing. The scale of the drawing was 8 millimeters = 4 meters. What is the drawing's scale factor?
meter =1,000 millimeters. So, the scale is:
7 mm:1,000 mm Divide both sides by 7
1 mm:142 6/7 mm - This is the scale that Tess used.
help please, what is the ANSWER?
Answer:
y
0
-1/2
-1
-3/2
-2
Step-by-step explanation:
y=(-1/2) *(-2)- 1 =(-) (-) (1*2)/2-1= 2/2-1 = 1-1 =0
If a cat went 600 miles how many feet did it take to get home?
Answer:
3168000 feet
Step-by-step explanation:
1 mile = 5280 ft
help me please i need the answer
Answer
I feel like it’s A
1. A line goes through the points (4, 5) and (2, -6). Write the equation of the line in point-slope form. Show your work for full credit. (Show how you went from those two points to having the equation in point-slope form?) Circle your answer (4 points)
Find the area of a raised vegetable bed having a length of 2 yd and a width of
7/10
yd.
Answer:
1.4 or 1 2/5
Step-by-step explanation:
Which expression is the factored form of−1.5w+7.5?
−1.5(w+5)
1.5(w−5)
1.5(5+w)
−1.5(w−5)
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Answer:
(d) −1.5(w−5)
Step-by-step explanation:
The signs of the two terms are different. That will still be true of the factored form. If you factor out a minus sign, then the constant in parentheses becomes negative.
-1.5w +7.5 = -1.5(w -5)
Answer:
4. -1.5(w-5)Step-by-step explanation:
[tex] - 1.5w + 7.5 \\ - 1.5(w - 5) \\ [/tex]
A 400 cm copper pipe is cut into two sections. One section is 7 times longer than the other.
What is the length of the longer section?
Answer:
350
Step-by-step explanation:
we consider length of smaller one by x, then
7x+x=400
8x=400
x=50, 7x=350
given the following graphs,explain how replacing x with (x+c) or (x-c) affects the parent function graph?
Answer:
(x+c) would horizontally shift the parent function graph by c units to the left.
(x-c) would horizontally shift the parent function graph by c units to the right.
what is the LCD of 9/10 and 3/5
Answer: 10
Step-by-step explanation:
9/10 = 9/10
3/5 = 6/10
Least common denominator right?
A classic physics problem states that if a projectile is shot vertically up into the air with an initial velocity of 151 feet per second from an initial height of 95 feet off the ground, then the height of the projectile, h, in feet, t seconds after it's shot is given by the equation:
h = - 16t² + 151t +95
Answer:
Step-by-step explanation:
144 = -16t² + 151t + 95
0 = -16t² + 151t - 49
quadratic formula
t = (-151 ±√(151² - 4(-16)(-49))) / (2(-16))
t = (-151 ± 140.23195) / -32
t = 0.34 s
t = 9.10 s
freè pôints
for you you you etc.
Answer:
askfjheifljblgjsljclakjksfjkljvkldskmjfmvalkgjbjdfkblrgjlskgskjd
Step-by-step explanation:
levjnlakqdhlwjfidfkjblksmnewkfdilbkmcjjeoibjkdl
Can someone explain to me on how you do this because the answer that I got was 15/17 but then I re read it again and it says to find the VALUE of the PRODUCT so I don’t really understand it. Please show work too
Answer:
[tex] \frac{3}{15 } [/tex]
Find an ordered pair (x, y) that is a solution to the equation.
2x+y=1
Multiply. [−8⋅4/11]⋅[(−0.1)⋅22] What is the product? Enter your answer in the box.
Answer:
6.4Step-by-step explanation:
[ -8 * 4 / 11] * [(-0.1) * 22] = (-32/11) * (-22/10) = 32*2/10 = 64/10 = 6.4Answer:
it's was helpful to you...
A cheetah went 108 miles moving 27 miles per hour. How many hours did the journey take? Show your answer as a decimal. Round to the nearest hundredth
Answer:
4
Step-by-step explanation:
108/27 = 4
10 times as many as 1 hundred is?
10 times as many as one hundred means that you are going to repeat 100 for 10 times. In other words, multiply 100 by 10.
So 10 times as many as 100 = 10 x 100 = 1000
This is the thousands blank.
Answer:
Step-by-step explanation:
1000, I'm pretty sure you're just multiplying
The graph below is the function f(x)
Find lim x -> -1- f(x)=
As x approaches -1 from the left, the graph of f(x) leads you to the point (-1, 3), so the limit from the left is 3.
As x approaches -1 from the right, the graph leads to the point (-1, -3), so the limit from the right is -3.
The one-sided limits do not match, so the two-sided limit does not exist.
But f(x) is still defined at x = -1; this is indicated by the point (-1, -1). So f (-1) = -1.
We have found all the given limits for all the function.
What is limit of a function?
The limit of a function is a key notion in calculus and analysis that describes how the function behaves near a certain input.
How can we find limits for function?As x approaches -1 from the left, the graph of f(x) leads you to the point (-1, 3), so the limit from the left is 3.As x approaches -1 from the right, the graph leads to the point (-1, -3), so the limit from the right is -3.The one-sided limits do not match, so the two-sided limit does not exist.But f(x) is still defined at x = -1; this is indicated by the point (-1, -1). So f (-1) = -1Learn more about the limit of a function at
https://brainly.com/question/1444047
#SPJ2
On the first day of a family road trip, Tamara's family travels 540 miles.
On the third day, they travel 15% farther.
How many miles does Tamara's family travel on the third day?
Answer: 621 miles on the third day
to find 15% of 540 multiply 540 by .15
540 x .15 = 81
Add 81 to 540
540 + 81 = 621
Answer:
Step-by-step explanation:
ondvosnvsonvjvnojvnsdvwnvwdnjonv
help me with this sum I will mark you as beautiful
Answer:
1: 153
2: 191
3: 208
4: 192
5: 73
6: 98
7: 145
-0.8654 divided by (-0.24)
Answer:
3.60583333
Step-by-step explanation:
When we divide -0.8654 with -0.24 it quotient is
3.60583333
Express 24/40 and 18/42 in their simplest forms.Show your works
Answer:
24/40 = 4/5
18/42 = 3/7
Step-by-step explanation:
Sana makatulong
Answer:
Answer:
24/40 = 12/20=6/10=3/5
18/42 = 9/21=3/7
Hey can anyone help with this question please and thank you