Answer:
The inverse of
y
=
2
x
is
y
=
log
2
x
Explanation:
This is how to do it.
From the given
y
=
2
x
interchange the variables so that
x
=
2
y
then solve for y:
x
=
2
y
take the logarithm of both sides with base
=
2
log
2
x
=
log
2
2
y
log
2
x
=
y
and
y
=
log
2
x
The graph of
y
=
2
x
and its inverse
y
=
log
2
x
. They are symmetric with the line
y
=
x
graph{(y-2^x)(y-log x/log 2)(y-x)=0[-20,20,-10,10]}
Write an expression that is equal to 3 x 2 1/4 and the answer
Answer:
x=0
Step-by-step explanation: go to tiger calculater for my answer but times then divide you should if can't divde might be 0 my answer maybe wrong
One hundred flowers are picked, and 82 die within the first twenty-four hours. What percentage of flowers are still alive after a day?
Answer:
After a day, 18% of the flowers remain
Step-by-step explanation:
Find the midpoint of the line segment with the given endpoints
(0,7), (4,7)
Natalie missed 16 out of her 80 test questions. What percent correct did she earn?
Answer:
20%
Step-by-step explanation:
Answer:
20%
Convert fraction (ratio) 16 / 80 Answer: 20%
For every 2 apples in Kali’s orchard, there are 4 pears. In Sam’s orchard, there are 10 pears for every 5 apples. If the number of pears is proportional to the number of apples, what is the constant of proportionality
Answer:
ggycv
Step-by-step explanation:
what has the same value as 5% percent of 35?
(Pick 2)
Answer:
B
Step-by-step explanation:
Of is multiplication, so correct answer is B
Answer:
b, and d
Step-by-step explanation:
5% * 35 = 0.05 * 35 = 5/100 * 35.
Find the missing angle measure. A.360° B.258° C.102° D.90°
Answer:258
Step-by-step explanation:
I did the same thing and got it right
Solve for y: y+6=5(x-4)
Answer:
Step-by-step explanation:
y+ 6= 5(x-4)
y + 6= 5x-20
-6 . -6
----------------
y= 5x-26
can someone help me please
what number lies halfway between 16 and 38
Answer:
27
Step-by-step explanation:
write Down a rational number that lies between -9 and -8
Use trigonometry to work out the size of angle x. Hypotenuse= 10cm, Adjacent= 9cm
9514 1404 393
Answer:
25.8°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the trig relations in a right triangle.
Cos = Adjacent/Hypotenuse
cos(x) = (9 cm)/(10 cm) = 0.9
Using the inverse cosine function, we can find the angle given its cosine.
x = arccos(0.9) ≈ 25.8°
Angle x is about 25.8°.
An architect uses the scale 1/2 in. = 1 yd. to make his blueprint for a building. If he draws a line segment 4 1/2 inches long, what actual size does it represent?
Answer:
9 yards
Step-by-step explanation:
4 1/2 inches=9 half inches
3. A vertical line has a slope of zero. Is this a true statement? Explain in three to five sentences, If false,
provide a corrected statement.
Answer:
False.
Summary:
This contradicts choice C above. Vertical lines have undefined slopes which aren't numbers due to the fact we cannot divide by zero.
If helpful, please mark as brainliest! =)
A car is 165 inches long. A truck is 65% longer than the car.
How long is the truck?
Answer:
262.25 inches
Step-by-step explanation:
65% of 165 is 107.25
107.25+165=272.25
so the truck is 262.25 inches long
Paddy and Anna each invest $2000 for 5 years.
Paddy earns simple interest at a rate of 1.25% per year.
Anna earns compound interest at a rate of r% per year.
At the end of 5 years, Paddy's investment is worth the same as Anna's investment.
Calculate the value of r.
Answer: r= 1.22
Step-by-step explanation:
Formula for amount with simple interest = [tex]P(1+rt)[/tex]
, where
P= principal value , r= rate of interest , t = time.
Given: P= $2000, t= 5 years, r= 1.25% = 0.0125
[tex]A=2000(1+0.0125\times5)\\\\=2000(1.0625)=2125[/tex]
Formula to compute compound amount : [tex]P(1+r)^t[/tex]
[tex]=2000(1+r)^5[/tex]
When both have same worth then
[tex]2000(1+r)^5=2125\\\\\\ (1+r)^5=\dfrac{2125}{2000}\\\\\\ (1+r)^5=1.0625[/tex]
taking log on both sides , we get
[tex]5\ln (1+r)=\ln 1.0625\\\\\\ 5\ln (1+r)=0.0606246\\\\\\ \ln (1+r)=0.012125\\\\\\ 1+r=e^{0.005266}\\\\\\ 1+r=1.0122\\\\ r=0.0122\\\\ \\ r=1.22\%[/tex]
Hence, Value of r= 1.22
Write 0.4% as a fraction or mixed number in simplest form.
Answer:
4/1000
Step-by-step explanation:
Please help me. Will mark as brainliest
Answer:
y = 8
Step-by-step explanation:
sin(45 degrees) = √2/2
==> x = y = 8
Answer:
y = 8
Step-by-step explanation:
Can you simply these fractions?
Answer:
2/7
3/4
1/2
1/10
5/7
3/8
1/9
2/5
1/5
Step-by-step explanation:
I'm a junior lol
Answer:
10/35= 2/7
18/24= 3/4
10/15= 2/3
3/6= 1/2
3/30=1/10
6/16= 3/8
2/18= 1/9
8/20=2/5
2/10= 1/5
Step-by-step explanation:
A farmer harvests 850kg of parsnips. 30% go to the local market and 50% go to a local supermarket. What mass of parsnips are left?
answer is 170
---------------------------
50% of 850 = 425
30% of 850 = 255
425 + 255 = 680
850 - 680 = 170
There are 170 kg mass of parsnips left after distributing to the local market and local supermarket.
To calculate the mass of parsnips left after distributing them to the local market and the local supermarket, we need to subtract the quantities allocated to these places from the total harvest.
The farmer harvested 850 kg of parsnips.
30% of the harvest goes to the local market, which is (30/100) * 850 kg = 0.3 * 850 kg = 255 kg.
50% of the harvest goes to the local supermarket, which is (50/100) * 850 kg = 0.5 * 850 kg = 425 kg.
To find the mass of parsnips left, we subtract the quantities allocated to the market and supermarket from the total harvest:
Total harvest - (Quantity for market + Quantity for supermarket)
= 850 kg - (255 kg + 425 kg)
= 850 kg - 680 kg
= 170 kg.
Therefore, there are 170 kg of parsnips left after distributing to the local market and local supermarket.
To know more about mass click here :
https://brainly.com/question/30117675
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pls help meeeeeeeeeeeeeeeeeeeee i need to figure out the 2 words
Answer:
who
not
is your answer
Step-by-step explanation:
hope it's helpful to you
have a great day ahead
Answer:
hotnotshotnetwetnewtoe[tex]\huge\fbox\green{I think it help you}[/tex]
[tex]\bold{Kunal^Bodke}[/tex]
Why is it useful to know how much yellow water should be used with 1 ml of blue water?
Help me plz!!
Answer:
It is very useful because now, we use Diagrams and labels.
Step-by-step explanation:
Answer:
let me see
Step-by-step explanation:
Use Coordinate Grid B to write an ordered pair for the given point.
Answer:
11. G (6,4)
12. H (4,9)
13. I (0,7)
14. J (9,5)
15. K (3,3)
16. L (5,2)
Step-by-step explanation:
eh you know
Answer:
11-(6,4) 12-(4,9) 13(0,7) 14-(9,5) 15(3,3) 16-(5,2)
Step-by-step explanation:
remember first you take the X Axis number that is horizontal, then Y on the Vertical Axis
Write an expression that is equal to 11 to the power of3
What is the surface area of the 3-dimensional shape? please help quick 3 ft 3 ft 3 ft
A. 24 square feet
B. 72 Square feet
C. 198 Square feet
D. 216 Square feet
The answer is A its really easy
Help please! I really need it! please dont guess if you dont know, dont answer.....( this is basic geometry im just dum'b) part2
Step-by-step explanation:
alternative interior angles
17. A cistern has two inlets A and B which can fill it in 12 minutes and 15 minutes respectively.
An outlet C can empty the full cistern in 10 minutes. If all the three pipes are opened
together in the empty tank, how much time will they take to fill the tank completely?
Pls help
Answer:
20 minutes
Step-by-step explanation:
please like
.............
Please I don’t understand this can someone help
Answer:
C
Step-by-step explanation:
The question is hard and i understand why youre confused but its C because i learned about stuff like this in 5th grade and im good at it im so sorry if im wrong but im almost positive its C hope i helped!
y = f(x + c) will shift f(x) left by c units
For a reflection about the x-axis, a NEGATIVE SIGN in placed in front of f.
Knowing this fact, the answer is -f(x + 4).
The green triangle is a dilation of the red triangle with a scale factor of s=1/3 and the center of dilation is at the point (4,2)
What are the coordinates of Point C'? C'(__,__)
What are the coordinates of Point A? A(___,____)
Given:
The scale factor is [tex]s=\dfrac{1}{3}[/tex] and the center of dilation is at the point (4,2).
Red is original figure and green is dilated figure.
To find:
The coordinates of point C' and point A.
Solution:
Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then
[tex](x,y)\to (k(x-a)+a,k(y-b)+b)[/tex]
According to the given information, the scale factor is [tex]\dfrac{1}{3}[/tex] and the center of dilation is at (4,2).
[tex](x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)[/tex] ...(i)
Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).
Using (i), we get
[tex]C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)[/tex]
[tex]C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)[/tex]
[tex]C(-2,11)\to C'(-2+4,3+2)[/tex]
[tex]C(-2,11)\to C'(2,5)[/tex]
Therefore, the coordinates of Point C' are C'(2,5).
We assumed that point A is A(m,n).
Using (i), we get
[tex]A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)[/tex]
From the given figure it is clear that the image of point A is (8,4).
[tex]A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)[/tex]
On comparing both sides, we get
[tex]\dfrac{1}{3}(m-4)+4=8[/tex]
[tex]\dfrac{1}{3}(m-4)=8-4[/tex]
[tex](m-4)=3(4)[/tex]
[tex]m=12+4[/tex]
[tex]m=16[/tex]
And,
[tex]\dfrac{1}{3}(n-2)+2=4[/tex]
[tex]\dfrac{1}{3}(n-2)=4-2[/tex]
[tex](n-2)=3(2)[/tex]
[tex]n=6+2[/tex]
[tex]n=8[/tex]
Therefore, the coordinates of point A are (16,8).
Kiran is about to start hiking on a trail that is 1.8 miles long. In his past hikes on the same trail, he had walked at a constant rate of 2.4 miles an hour, which is 0.04 mile a minute. Function (F) represents Kiran's remaining distance on the trail, in miles, t, minutes after he starts walking. Write an equation to represent this function. Use function notation.
Answer:
F(t) = 1.8 - 0.04t
Step-by-step explanation:
Given that :
Length of trail = 1.8m
Walking speed = 0.04 miles per minute
Distance left, t minutes after one statues walking :
Total distance covered after t minutes = speed * time = 0.04t
Distance left after t minutes :
Initial distance - distance covered
Hence,
F(t) = 1.8 - 0.04t