Answer:
[tex]g^{-1}[/tex](x) = [tex]\frac{x+10}{5}[/tex]
Step-by-step explanation:
Given
g(x) = 5(x - 2)
let y = g(x) and rearrange making x the subject, that is
y = 5(x - 2) ← distribute
y = 5x - 10 ( add 10 to both sides )
y + 10 = 5x ( divide both sides by 5 )
[tex]\frac{y+10}{5}[/tex] = x
Change y back into terms of x with x = [tex]g^{-1}[/tex] (x) , thus
[tex]g^{-1}[/tex](x) = [tex]\frac{x+10}{5}[/tex]
12 multiplied by 9-7i
Answer:
108 - 84i
Step-by-step explanation:
12( 9-7i)
Distribute
12*9 - 12*7i
108 - 84i
A store estimates that 1 out of every 25 customers is returning or exchanging merchandise.
In the last hour, a cashier had 5 customers. What is the probability that exactly 2 of those
were making returns or exchanges?
Answer:
10%
Step-by-step explanation:
if you times the 5 people to get it to the 25 that means that you also have to times the 2 by 5 which = 10!
hope this helped Willow!
Question 7 of 24
1 Point
Add.
6x2 -5x +3 +
3x2 + 7 x-8
O A. 9x2 - 2x + 5
O B. 9x2 + 2x - 5
O c. 9x2 + 12x-5
D. 9x2 + 2x + 11
Please answer CORRECTLY !!!!!! Will mark BRAINLIEST !!!!!!!!!!!!!!
Answer:
38
Step-by-step explanation:
Find the values of each function.
f(-9)= 4
g(6)=6
Then plug them in.
-1 x 4 + 7 x 6
-4+42
38!
Please answer this for me! :(
A Cylindrical tank has a diameter of 3.8 m and length 12.7 m. What is the surface area of the tank?
(Show all steps and round accurately)
Step-by-step explanation:
[tex]cylinder \: area \: = (2 \times \frac{\pi}{4} \times {dia}^{2} ) + (\pi \times dia \times hieght) \\ = (2 \times \frac{\pi}{4} \times {3.8}^{2} ) + (\pi \times 3.8 \times 12.7) \\ = 22.7 + 151.5 \\ = 174.2 \: {m}^{2} [/tex]
PLZZZZ HELP MEEEE!!!! (30 points)
Answer:
Step-by-step explanation:
Slope is the rise (y) over the run (x) between 2 points on a graph. This means that from one point go up (or down) first, then count over from that first point right (or left). A positive number on top indicates "up" and a negative number on top indicates "down"; a positive number on bottom indicates "right" while a negative number on bottom indicates "left". Keep in mind the following:
[tex]\frac{-y}{x} =\frac{y}{-x} =-\frac{y}{x}[/tex]
It doesn't matter where you "put" the negative, your slope will come out correct as long as you are moving from one point to the other correctly.
Our given slope is 4/5. They are both positive, so that means from the red point on the left ("read" a graph from left to right, just like you're reading this) we will go up 4 units. From where we "land" we will go right 5 units. As you can see, the only graph that lands on the red dot on the right when we follow that slope is the second one.
Solve for g.
–g + 5 = –2g
g =
Answer: -5
Step-by-step explanation: Let me know if you need an explanation.
What is the name of half of a right circular cone, as shown below?
A. Nappe
B. Circle
C. Vertex
D. Parabola
Answer:
the answer of the question is a nappe
Answer:
The correct answer is nappe
Step-by-step explanation:
find the amount 32% is 64ml
Answer:
20.48mL
Step-by-step explanation:
Multiply 64mL by 0.32
Answer:
20.48
Step-by-step explanation:
32/100*64
Please help me with this question please help
Consider this scaled figure of a swimming pool. The dimensions of the original pool are 24 feet wide by 36 feet long. A rectangle has a width of 6.4 feet and a width of question mark feet. Use the measurements of the original and of the scaled figure to find the scale factor and the missing length. What is the scale factor? What is the missing length of the scale model?
Answer:
Scale Factor- 4/15
Missing length- 9.6
Step-by-step explanation: Got it right on Edge.
The missing length of the rectangle B is 9.6 feet and the proportion is 3.75
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the area of the rectangle 1 be represented as A = 24 x 36
where the width = 24 feet and length = 36 feet
Now , the area of the second rectangle 2 = 6.4 x y
The width = 6.4 feet
So , the scale factor is given by the proportion equation ,
k = 24 / 6.4 = 3.75
So , the scale factor k = 3.75
Now , the length of the second rectangle = 36 / 3.75 = 9.6 feet
Hence , the proportion is k = 3.75
To learn more about proportion click :
https://brainly.com/question/7096655
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Circle J is inscribed in isosceles trapezoid ABCD, as shown. Points E, F, G, and H are points of tangency. The length of AB is 10 cm. The length of DC is 20 cm. What is the length, in cm, of BC?
Answer:
15cm
Step-by-step explanation:
Theorem: All tangents to a circle from the same point are equal.
Sine E, F, G and H are points of Tangency, by the theorem above:
EB=BFFC=GCThe diameter line EC divides the Isosceles Trapezoid into two equal parts.
Therefore:
EB=10/2=5cmGC=20/2=10cmWe then have by the equality above that:
BF=5cmFC=10cmBC=BF+FC
=5+10
=15cm
–x + 8 + 3x = x – 6 solve the equation
Answer:
x=-14 (im pretty sure its right )
Step-by-step explanation:
like terms :p
45 POINTS FOR SOLVING THIS!!
Answer:
157.98 [tex]in^2[/tex]
Step-by-step explanation:
Given: volume of pyramid is equal to 100 cubic inches and height of the pyramid is 5 inches
To find: surface area of the pyramid
Solution:
Let h denotes the height of the pyramid and 'a' denotes side of the square base of the pyramid.
Volume of the pyramid = [tex]\frac{1}{3}a^2h[/tex]
Also,
Volume of the pyramid = 100 cubic inches
[tex]\frac{1}{3}a^2h=100\\\frac{1}{3}a^2(5)=100\\a^2=\frac{100\times 3}{5}=60\\a=\sqrt{60}[/tex]
Surface area of the pyramid [tex](S) =a\sqrt{4h^2+a^2}+a^2[/tex]
So,
[tex]S=\sqrt{60}\sqrt{100+60}+60\\=\sqrt{60}\sqrt{160}+60\\=\sqrt{9600}+60\\=97.9796+60\\=157.9796\\\approx 157.98[/tex]
Surface area = 157.98 [tex]in^2[/tex]
Answer:
Surface area of the pyramid = 157.99 in²
Step-by-step explanation:
Volume of a pyramid is given by the formula,
Volume = [tex]\frac{1}{3}(\text{Area of the base})\times \text{height}[/tex]
100 = [tex]\frac{1}{3}\text{(Side)}^{2} \times \text{height}[/tex]
300 = s² × 5
s² = 60
s = √60
s = 2√15 in ≈ 7.746 in
Now surface area of the pyramid = Area of base + 4×(Area of one lateral side)
Area of square base = (Side)² = 60 in
Area of one lateral side = [tex]\frac{1}{2}(\text{Base})(\text{Lateral height})[/tex]
Since Lateral height = [tex]\sqrt{(h)^{2}+(\frac{S}{2})^{2}}[/tex] [By applying Pythagoras theorem in the given triangle]
= [tex]\sqrt{(5)^{2}+(3.873)^{2}}[/tex]
= [tex]\sqrt{25+15}[/tex]
= [tex]\sqrt{40}[/tex]
= 6.325 in.
Now area of lateral side = [tex]\frac{1}{2}(7.746)(6.325)[/tex]
= 24.497 in²
Surface area of the pyramid = 60 + (4×24.497)
= 60 + 97.987
= 157.987 in²
≈ 157.99 in²
Find the mean of the data in the dot plot below.
fish
Fish Emma caught each day
of her fishing trip
0
2
3
4
5
6
Number of fish
Show Calculator
Report a problem
The mean of the following dot plot:
Mean: 3
Step-by-step explanation:
0 x 1 = 0
3 x 1 = 3
6 x 1 = 6
(we only add the numbers that only has a dot on the number in the dot plot)
So:
Mean: 0 + 3 + 6 = 9/3 = 3
Read more on Brainly.com - https://brainly.com/question/16754217#readmore
this was my previous answer from your other question
Juan decided to join a gym to get in shape for football. He has two payment options. Option a is to buy a membership card and pay $2 each time he goes to the gym. Option b is to pay $4 each time he goes. A membership card cost $30. After how many times, t, will cost of option a be equal to cost of option B.
(15.) (20) (50.) (25 )
The price of a toy usually costing £50 is increased to £65
Work out the percentage increase
Answer:
15%
Step-by-step explanation:
According to a survey done at your school, about 42% of all the female students participate in 2 sport seasons. You randomly ask 5 female students at your school how many sport seasons they participate in. What is the probability that at least 3 of the 5 female students surveyed participate in 2 sport seasons? Show your work.
Answer: 0.353
Step-by-step explanation:
We know that 42% of all the female students participate in 2 sports this season. (58% is the percent that did not)
This means that if we select a random student, there is a 0.42 probability that the student did participate in 2 sports this season.
Other thing that i will use is that, if we have a group of N objects, and we want to create a group of K objects out of the N, the number of combinations is:
[tex]c = \frac{N!}{(N - K)!*K!}[/tex]
Now, out of 5, we want to find the proability that, at least 3 of them, did participate in at least 2 sports this season.
The probability that all 5 of them participated, is equal to the product of the individual probabilities. (so N = 5, and K = 5)
P = (0.42^5)*1 = 0.013
Now, if only 4 of them did participate (N = 5, k = 4), the probability is equal to:
P = (0.42^4)*(0.58)*5!/4! = (0.42^4)*(0.58)*5 = 0.09
The probability for only 3 is: (N = 5 and K = 3)
P = (0.42^3)*(0.58^2)*5!/(3!*2!) = (0.42^3)*(0.58^2)*(5*4/2) = 0.25
Then the total probability is:
P = 0.013 + 0.09 + 0.25 = 0.353
Find the average acceleration of a northbound subway train that takes 0.90 seconds to go from 12 m/s to 4.5 m/s.
Answer:
a= -8.33
Step-by-step explanation:
it will be deceleration because he was 12 m/s then go to 4.5 m/s
and by applying moving equation
[tex]v_{2}[/tex]=[tex]v_{1}[/tex]+at
we have all but not have a
Hiking on the map, AB represents a trail that you are hiking. You start from the beginning of the trail and hike for 90 minutes at a rate of 1.4 mph how much farther do you need to hike to reach the end of the trail
Answer:
Distance remaining = 3.1 miles
Step-by-step explanation:
Distance between A(3, 2) and B(8.2, 2) can be calculated by the formula,
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
AB = [tex]\sqrt{(8.2-3)^2+(2-2)^2}[/tex]
= 5.2 mi
Since you have hiked for "90 minutes or 1.5 hours" at the rate of 1.4 mph,
From the formula,
Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]
1.4 = [tex]\frac{\text{Distance}}{1.5}[/tex]
Distance traveled = 1.4 × 1.5
= 2.1 miles
Distance remaining to travel = 5.2 - 2.1
= 3.1 miles
Therefore, distance remaining to travel = 3.1 miles
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
x = -5/3 and y = -1
Step-by-step explanation:
write it as a system and simplify
-4 for the first equation (in the photo but when putting it into a system of equations it would be 2nd)
So it's
-3x-2y=7
-3x+2y=3
then it's -6x=10
then divide oth sides by -6 to get x then plug that into whatever equation and solve for y.
i hope this is right and helps
solve for x
-3 + 8x - 5 = -8
Answer:
x=0
Step-by-step explanation:
combine like terms
-8+8x=-8
add 8 to both sides
8x=0
x=0
The solution is 0
Answer:
x = 0
Step-by-step explanation:
When we combine like terms on the left side we get -8 + 8x = -8. Adding 8 to both sides to get rid of the -8 we get 8x = 0, and dividing the whole equation by 8 to get rid of the coefficient of x we get x = 0.
A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region
4 mm
mm
1 mm
15 mm
Answer:
wgtvwthrr
Step-by-step explanation:
I really need help with this.
Answer:
radius is 3, center is (4,-5)
Step-by-step explanation:
when you graph this, put the first point at (4,-5) and then expand three squares up.
What is the range of the set of data used to create this box plot ?
Answer:
The range of the box plot is 10.
Step-by-step explanation:
To find the range subtract the highest value to the lowest value.
Since 13 is the highest and 3 is the lowest the answer is 10
Hope this helps.
Find the surface area of the composite figure. Round the answer to the nearest tenth.
3 cm
4 cm
5 cm
11 cm
The surface area of the figure is
cm
Answer:
3+4+5+11= 56
Step-by-step explanation:
The sample loses 1/3of it’s mass every ___ days
Answer:
The sample loses [tex]\frac{1}{3}[/tex] of its mass every [tex]\frac{1}{3}[/tex] days.
Step-by-step explanation:
Expression that shows the relation between final mass of the element after 't' days is,
M(t) = [tex]900(\frac{8}{27})^t[/tex]
If M(t) = two third of the initial mass [After the loss of one third of the initial mass remaining mass of the element = 1 - [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{3}[/tex]rd of the initial mass]
[tex]900\times \frac{2}{3}=900(\frac{8}{27})^t[/tex]
[tex]\frac{2}{3}=(\frac{8}{27})^t[/tex]
[tex]\frac{2}{3}=[(\frac{2}{3})^3]^t[/tex]
[tex](\frac{2}{3})^1=(\frac{2}{3})^{3t}[/tex]
By comparing powers on both the sides
3t = 1
t = [tex]\frac{1}{3}[/tex] day
Therefore, The sample loses [tex]\frac{1}{3}[/tex] of its mass every [tex]\frac{1}{3}[/tex] days.
What is the additive inverse of the polynomial –9xy2 + 6x2y – 5x3?
Answer:
–9xy2 – 6x2y + 5x3
–9xy2 – 6x2y – 5x3
9xy2 + 6x2y + 5x3
9xy2 – 6x2y + 5x3
the answer is 9xy2 – 6x2y + 5x3
Step-by-step explanation:
I will give you 10B points plus mark someone again for the Brainliest if you get this right.
Answer:
Option D is the correct answer
Step-by-step explanation:
[tex](3 {m}^{ - 4} )^{3} (3 {m}^{5} ) \\ \\ = {3}^{3} {m}^{ - 4 \times 3} \times 3 {m}^{5} \\ \\ = 27 \times 3 \times {m}^{ - 12 + 5} \\ \\ = 81 {m}^{ - 7} \\ \\ = \frac{81}{ {m}^{7} } [/tex]
Answer:
the correct answer is D
Step-by-step explanation:
distribute the exponent on the left to get the expression ((3^3)(m^-12))(3(m^5))
bring the negative exponent to the denominator to get (3^4)(m^5)/(m^12)
subtract the exponents of m to get an answer of 81/(m^7)
I need help ASAP can someone please help me right away.
Answer:
45 degrees
Step-by-step explanation:
Think of this web as a circle. This circle is divided into 8 equal pieces.
A circle has 360 degrees in it. If we divide 360 by 8, we get 45. This means that each wedge is 45 degrees, which means that in order to rotate the image to look the same, we must rotate it by 45 degrees.
Answer:
45 degrees
Step-by-step explanation: