Answer:
$3.74
Step-by-step explanation:
Proportions:
6 pounds ⇔ $22.44
1 pound ⇔ $ C
C = 22.44*1/6
C = $3.74
How do you find the inverse of the exponential growth function?
f(x)=9.16(1.0054)^x
I know the inverse of an exponential is the log but the function is not in the exponential form and I am not sure how to find c
Answer:
The inverse function of f(x) is ... f⁻¹(x) = log (x/9.16)/log (1.0054)
Step-by-step explanation:
Starting equation... f(x) = 9.16(1.0054)ˣ
Visually rewritten... y = 9.16(1.0054)ˣ
Flipping x and y... x = 9.16(1.0054)ʸ
Isolating (1.0054)ʸ... x/9.16 = (1.0054)ʸ
Taking the log of both sides... log (x/9.16) = y log (1.0054)
Isolating y... log (x/9.16)/log (1.0054) = y
Solution... y = log (x/9.16)/log (1.0054)
Solve the quadratic equation given.
6x2 - 24 = 0
[tex] {6x}^{2} - 24 = 0 \\ = > 6( {x}^{2} - 4) = 0 \\ = > 6 {((x)}^{2} - {(2)}^{2} ) = 0 \\ = > 6(x - 2)(x + 2) = 0 \\ = > 6(x - 2) = 0 \: \: \: or \: \: 6(x + 2) = 0 \\ = > 6x - 12 = 0 \: \: \: or \: \: \: 6x + 12 = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 2[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
MARKING BRAINLIEST PLEASE HELP
if p(x)=x^2-4x+3 evaluvate p(2)-p(-1)+p(1/2)
Answer:
....◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉◉‿◉
Muhammad needs at least 6 feet of yarn to make a scarf. If Muhammad has 2 yards and 3 inches of yarn, and there are 3 feet or 36 inches in 1 yard, will he be able to make a scarf?
Answer:
Muhammad will be able to make the scarf
Step-by-step explanation:
If he needs 6 feet of yarn and he has got 2 yards witch are 3 feet each multiply 3 feet by 2 and you get 6 yards and then add the 3 inches left, he's got 6 feet 3 inches
A student earned 80% on a math test if she got 20 questions correct how many problems were on the test
Answer:
16
Step-by-step explanation:
80% of 20 is 16
Answer:
25
Step-by-step explanation: (My way) If 20 questions equal 80%, then do 20/2 which equals 10. 10 is 40% because 20 was 80%, which was split in half. Now you do 10/2 which is 5. 10 was 40% so 40% got split into 20%. So then you have 5=20%, 10=40%. Now we multiply 10x2 which equals 20. 20=80% so now add 20+5 which is 25. 25 is 100%.
If one lap takes me 11 minutes and 10 seconds how long will it take me to do 10 laps
Answer:
111 minutes and 40 sec
Step-by-step explanation:
11x10=110 minutes
10 sec x 10 = 100 seconds = 1 minute 40 sec
110 minutes+1 minute+40 seconds= 111 minutes and 40 seconds
Select all values equal to the fraction below:
In a class of 50 students, 28 are boys and the rest are girls. The ratio of boys to girls in its simplest form is
Solve. \sqrt{8x} -8-8=4
Answer:
x=50
Step-by-step explanation:
Let's solve your equation step-by-step.
√8x - 8 - 8 = 4
√8x - 16 = 4
Step 1: Add 16 to both sides.
√8x - 16 + 16 = 4 + 16
√8x = 20
Step 2: Solve Square Root.
√8x = 20
8x = 20^2 ( Square both sides )
8x = 400
8x/8 = 400/8 (Divide both sides by 8)
x = 50
HOPES THIS HELP :)
27.if 2 lbs of rice is $3. How much will 15 lbs of rice be?
Answer:
2 lbs rice= $3
15 lbs rice= x
x= 15×3/2
=45/2=22.5For $22.5 will be 15 lbs of rice .
help please RSM problem -need anwser please
Answer:
1/8 + 1/4 = 3/8
Step-by-step explanation:
7 Point Question Tyler was trying to prove that all rhombuses are similar. He thought, “If I draw 2 rhombuses, I can find dilations that will take one rhombus exactly onto the other.” Then he wrote a proof. However, all rhombuses are not similar. Which steps in Tyler’s proof have flaws? Explain what is wrong with each step that is wrong. Step 1: Let ABCD and WXYZ be rhombuses. By the definition of a rhombus, AB≅BC≅CD≅DA and WX≅XY≅YZ≅ZW. Step 2: Dilate rhombus ABCD by the scale factor given by $$ WX AB. Side A'B' will be the same length as WX because of how I chose the scale factor. Because all sides of a rhombus are congruent, B'C' will be the same length as WX and therefore the same length as XY, C'D' will be the same length as YZ, and A'D' will be the same length as WZ. That means all the corresponding sides of A'B'C'D' and WXYZ will be the same length. Step 3: If all the sides in 2 figures are proportional, then those 2 figures are similar, so there must be a sequence of transformations that take ABCD onto WXYZ using dilations and rigid motions. Step 4: Translate A'B'C'D' by the directed line segment A'W so that A″ and W coincide. Step 5: Rotate A″B″C″D″ by angle B″WX so that B‴ and X coincide. Now segments A‴B‴ and WX coincide. Step 6: If needed, reflect A‴B‴C‴D‴ over segment WX so that D⁗ and Z are on the same side of WX. Now segments A⁗D⁗ and WZ coincide. Step 7: Once 3 vertices of the rhombus are lined up, the other vertex has to line up as well or else the shapes wouldn’t be rhombuses. So, we have shown we can use rigid motions and dilations to line up any 2 rhombuses, and therefore, all rhombuses are similar. (Select all that apply.) Step 1 is incorrect. The definition of a rhombus does not say that all the sides are equal. Step 2 is incorrect. The scale factor is not $$ . Step 3 is incorrect. It is only true for triangles that if all the side lengths in a figure are proportional, the figures must be similar. Step 4 is incorrect. Translating by the directed line segment
A rhombus can have the same shape and dimension as a square or a
parallelogram, therefore, all rhombuses are not similar.
A step in the proof that have flaws is step 3.Reasons:
By reading through the given steps, we have, the first step that is incorrect
is step 3.
Step 3: The requirement for the similarity of two figures based on the
proportionality of the corresponding sides of the figures is related with
triangles as given by the triangle proportionality theorem.
This is so because, the lengths of the sides of a triangle depends on the
opposite interior angle, while the side of a rhombus can have a
combination of large length and and acute angle.
Two rhombuses that have proportional sides may be dissimilar,
because they can have different interior angles.
Therefore;
The step in Tyler's proof that have a flaw is Step 3
Learn more about similarity between geometric figures here:
https://brainly.com/question/10270676
If CD = 6 and the perimeter of ABC is 41, what is the perimeter of ABE?
Answer:
53.
Step-by-step explanation:
DE = CD = 6 ( as triangle ACE is isosceles so AD is the perpendicular bisector of CE.
Therefore CE = 12.
AB + BC + AC = 41 (given perimeter of ABC)
AB + BC + AE + 12 = perimeter of ABE.
But AE = AC ( given), so
AB + BC + AC + 12 = perimeter of ABE
Now we know that AB + BC + AC = 41 , so
41+ 12 = perimeter of ABE.
Pls explain how to solve this elimination problem!!
Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the tenths
place
#CARRYONLEARNING
..LOVEUALL...
Answer:
The answer is in the screenshot.
Step-by-step explanation:
Problem 1
Jayden has $11 and begins saving $5 each week
towards buying a new phone. At the same time that
Jayden begins saving, Aditi has $60 and begins
spending $2 per week on supplies for her art class.
Is there a week when they have the same amount of
money?
Yes
No
Answer:
I'm thinking its a no because the money is odd every time Jayden adds $5
Step-by-step explanation:
Jayden has [tex]\$11[/tex] and begins saving [tex]\$5[/tex] per week.
Aditi has [tex]\$60[/tex] and begins spending [tex]\$2[/tex] per week.
Have x denote the number of weeks and y indicate the quantity each person has. Therefore, according to the stated conditions, the maximum amount Jayden will have after x weeks will be,
[tex]\to y = 11+5x[/tex]
Aditi will have [tex]y= 60-2x[/tex] after x weeks. Therefore, the number of weeks in which they will each have the same amount will be calculated as,
[tex]11+5x=60-2x\\\\5x+2x=60-11\\\\7x=49\\\\x=\frac{49}{7}\\\\x=7[/tex]
As a result, after 7 weeks, Lin and Diego will have the same amount, which is [tex]\$46[/tex].
Learn more:
brainly.com/question/11925965
Need help on HS geometry
Answer:
See belowStep-by-step explanation:
AB is a midsegment.
Property of the midsegment is midsegment is half the length of the parallel side of the triangle:
2AB = 88AB = 44And
3x - 4 = 443x = 48x = 16Help!!
So I think that someone is tracking my truck with an apple airtag but I don't know for sure. The only apple product I have is an iPad and I don't know how to check if an airtag is near by!!
Answer:
well....
Step-by-step explanation:
trow the apple
What is the point-slope of a line that has a slope of 3 and passes through point (1, 4)
Answer:
A. y - 4 = 3 ( x - 1 )
Step-by-step explanation:
Given:
x1 = 1
y1 = 4
slope (m) = 3
Solution:
y - y1 = m ( x - x1 )
y - 4 = 3 ( x -1 )
y - 4 = 3x - 3
y = 3x - 3 + 4
y = 3x + 1
What is 95/18 as a decimal?
Please include an explanation and the correct answer!
I will give brainliest to the best answer!
I need it in the next 5 mins!
Thank you!
Answer:
5.27777777
repeating 7s forever
rounded to 2 decimal places is:. 5.28
Hey there!
In order for you to find the decimal form of a fraction, you have DIVIDE the NUMERATOR (the TOP number) from the DENOMINATOR (the BOTTOM number)
Here’s the formula
a/b = a ÷ b = [decimal form]
ANSWERING YOUR QUESTION
95/18
= 95 ÷ 18
= 5.277778 ≈ 5.3 or 5.28
Therefore, your answer is: 5.277778
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
find the ratio
3 ounces cost $2.73
Answer:
1 : $0.91
Step-by-step explanation:
divide 3 by 3
divide 2.73 by 3
1:0.91
The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 235 people entered the park, and the admission fees collected totaled 640 dollars. How many children and how many adults were admitted?
Answer: 115 Adults and 120 Children
Step-by-step explanation:
We have 2 unknowns: A is the number of Adults and C is the number of children.
We'll need at least two equations to solve for two unknowns.
One equation is easy: We know that A + C = 235, the total number of people who entered the park.
The second equation comes from the second fact that was provided: total admission fees were $640. We can write the sum of the two unknowns, A and C, when multiplied by their respective admission fee:
4A + 1.5C = $640 [$4 * the number of adults plus $1.5 * the number of children]
Rearrange the first equation for either variable, A or C. I picked A:
A = 235 - C
Now use this value for A in the second equation:
4A + 1.5C = $640
4*(235-C) + 1.5C = $640
-2.5C + 940 = 640
-2.5C = -300
C = 120 children
To find A:
A = 235 - C
A = 235 - 120
A = 115 adults
===
Double check to see if these value work:
C A
Fee($) 1.5 4
People 120 115
Income ($) 180 460
Total = 180 + 460 = $640
It works. 120 Adults and 115 Children.
Can someone please answer this no bots answer this please… I’ll give you brainliest
Answer:
Part one:
Y=13.5x+1
Part two:
Y=12x+40
Part three:
After 15 seconds Sam: 203.5ft Alice:220ft
Alice won
Step-by-step explanation:
I need help on question 5 - 6 - 7 - 8 - 9 - 10 - 11 - 12 please
Answer:
The solution is given in the photo
8) The height of a stack of CD cases is Proportional to the number of CD’s in the stack. A stack of 6 CD’s is 66mm high.* Find the unit rate**
a) How high is a stack of 10 CD’s?
b) Write an equation that relates the height (y) of a stack of CD’s and the number of CD cases(x) in the stack.
Step-by-step explanation:
well, when 6 CD cases are 66 mm high, then 1 CD case is 66/6 = 11 mm high.
a)
therefore, 10 CD cases are 11×10 = 110 mm high.
b)
y = 11x
The area of a rectangular pool is 5628 m^(2). If the width of the pool is 67m, what is its length?
Answer: 84 m
Step-by-step explanation:
To find area, you multiply the width by the length ( A = L x W). Here, it is asking for the length, giving the area of the pool and the width. With this information, you can inverse operation ( division) to find the length of the pool. So:
5628 / 67 = 84
This tells us that the length of the pool is 87 meters. To check this answer, multiply 67 and 84. If it's equivalent to 5628, the given area, then 84 is indeed the length of the pool.
67 x 84 = 5628.
Thus, the length of the pool is 84 m.
A dessert has both fruit and yoghurt inside.
Yogo-pot
Altogether, the mass of the fruit and yoghurt is 175g.
The ratio of the mass of fruit to the mass of yoghurt is 2:5
What is the mass of the yoghurt?
On a coordinate plane, 2 lines are parallel to each other.This system of equations has .
PLS HELP
Answer:
No solutions
Step-by-step explanation:
The lines never meet, there for have no intersection point leading to no solution for the system of equations.
Hope that helps
1. 5 3/4 + 5/6 + 2 1/2
2. 3 1/3 - (5 - 1 5/6)