Answer:
a) f(x) = x^2
b) f(x) = x
c) any pair of numbers
Step-by-step explanation:
The value of the exponential function f ( x ) = eˣ has the domain as the set of all real numbers
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential function be represented as A
Now , the value of A is
f ( x ) = eˣ be equation (1)
And , exponential functions have a positive base, and a variable for an exponent.
The scope of an exponential function encompasses all real numbers since all powers of a positive base are defined. All the values of the function will be positive since we begin with a positive base and powers of a positive base are always positive.
The function never accepts the value 0 or any negative number, as indicated by that. An exponential function can only be applied to positive values. Other than that, their activities are varied.
And , the domain is all real numbers and the range is all positive real numbers
Hence , the value of the exponential function is a set of real numbers
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1.The area of the KM 89 Farm in San Vicente is (x²+7x +12) sq meters. If its width is (x + 3) meters, what is the length of the farm?
2. A box has a volume of (x³ + 12x²+ 47x + 60) cu. cm. If it is (x + 3) cm high, what is the product its width and length?
3. The base of a parallelogram is(f-2) cm. If its area is (f³-8) cm², find an expression for the height of the parallelogram.4. Any wants to paint the wall of his room for renovation. If the area of the wall is (3x³- 4x² + 2x + 4) m² and a paint can cover (x²- 2x + 2) m², how many cans of paint will he use to paint the whole wall?
5. A rectangular garden in a backyard has an area of (x² + 5x - 6) square meters. Its width is (x + 2) meters. What is the length of the garden?
I need the solution with the answer thank youuu
Step-by-step explanation:
1. A = lw
l = A/wl = (x²+7x +12) / (x + 3) = (x + 4)(x + 3)/(x + 3) = x + 4 m2. V = lwh
lw = V/hlw = (x³ + 12x²+ 47x + 60) / (x + 3) = (x³+ 3x² + 9x² + 27x + 20 x + 60) /(x + 3) = (x + 3)(x² + 9x + 20) / (x + 3) = x² + 9x + 20 cm²3. A = bh
h = A/bh = (f³-8) / (f-2) =(f - 2)(f² + 2f + 4)/(f-2) =f² + 2f + 4 cm4. A = p*c
c = A/pc = (3x³- 4x² + 2x + 4) / (x²- 2x + 2) =(3x³ - 6x² + 6x + 2x² - 4x + 4) /(x² - 2x + 2) =(x² - 2x + 2) (3x + 2) / (x² - 2x + 2) =3x + 2 cans5. A = lw
l = A/wl = (x² + 5x - 6)/(x + 2) =(x - 1)(x + 6)/(x + 2) mIf Jeff hikes 1/2 a distance in 1/4 an hour how fast can he walk in 1/2 an hour?
Answer:
2/4? i think....
idrk sry :(
Step-by-step explanation:
PLEASE HELPPP MEEEEE
Step-by-step explanation:
iikkkkkooooinnjjjrtreuuhMayzie's Masks has a monthly demand of 250 masks. It costs $100 to place an order
and the holding cost is 20% of the cost of a mask, which is $30. What is the total
cost?
Answer:
$951
Step-by-step explanation:
EOQ = Sqroot{(2*Annual Demand*Ordering cost)/Holding cost}
= Sqroot{(2*250*12*100)/(0.2*30)}
= 317 Units Approximately
Total Holding cost = Average Inventory * Holding cost per unit
= (EOQ/2)*Holding cost per unit
= (317/2)*(0.2*30)
= $951
So by knowing the holding cost and the percentage that it represents, we want to find the total cost of the masks. We will find that the cost is $150.
We know that the holding cost is 20% of the cost of a single mask, so if the cost of a mask is C, the holding cost is:
(20%/100%)*C = 0.2*C
And we know that this is equal to $30, so we get:
0.2*C = $30
Now we can solve this for C, the total cost of a mask:
C = $30/0.2 = $150.
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A potting mixture contains 12.0% peat moss and 6.00% vermiculite. How much peat moss and how much vermiculite must be added to 100lb of this mixture to produce a new mixture having 15.0% peat and 15.0% vermiculite?
Answer:
Answer is 3% more peat and 9% more vermiculite.
Step-by-step explanation:
The weight of the initial potting mixture is not given, but the percentage amounts of peat moss & vermiculite are given.
The weight of the new potting mixture is 100lb.
For the new mixture to have 15% peat and 15% vermiculite,
The amount of peat that must be added is 3% of the peat in the initial mixture.
Hint: subtract 12 from 15. Retain the percentage sign.
The amount of vermiculite that must be added is 9% of the vermiculite in the initial mixture.
Hint: subtract 6 from 15. Retain the percentage sign, as that is the scale of measurement here.
Given the rotation in the image below, solve for the values of x and y,
HELPPPP
Answer:
x = 5
y = 4
Step-by-step explanation:
Since, rotation of a figure is a rigid transformation.
In a rigid transformation shape and size of the figure remains unchanged, that means image and pre-image are always congruent.
By the property of congruent triangles,
x = 5
3y = x + 7
3y = 5 + 7
3y = 12
y = 4
Write an equation for the line through the points (7, 2) and (10,6) in point-slope form.
Answer:
Your answer is y-2=4/3(x-7)
Step-by-step explanation:
Answer:
y-2=4/3(x-7)
Step-by-step explanation:
The cable railway was driven by a 8 foot diameter drum that turned 13 revolutions per minute. Find the linear velocity of the cable.
Answer:
The linear velocity of the cable ≅ 327 feet per minute.
Step-by-step explanation:
Given that the diameter of the drum = 8 feet
Radius of the drum = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{8}{2}[/tex]
= 4 feet
Radius of the drum = 4 feet
1 revolution = circumference of the drum
circumference of the drum = 2[tex]\pi[/tex]r
where r is the radius.
So that;
circumference of the drum = 2 x [tex]\frac{22}{7}[/tex] x 4
= [tex]\frac{176}{7}[/tex]
= 25.143
circumference of the drum = 25.143 feet
The linear velocity of the cable = (13 x 25.143) feet per minute
= 326.859 feet per minute
The linear velocity of the cable ≅ 327 feet per minute.
A labtop has ablisted price of $739.98 befire tax. If the sales tax rate is 8.75%, find the total cost of the labtop with sales tax included.
HELP PLEASE:
What is the point-slope form of the line with slope 25 that passes through the point (−4, −7)?
y−7=2/5(x−4)
y+7=2/5(x+4)
y+4=2/5(x+7)
y−4=2/5(x−7)
Answer:
y + 7 = 2/5 (x + 4)
Step-by-step explanation:
(I hope 25 is 2/5)
The formula is y - y1 = m (x - x1), so you put the variables in to y1 and x1 plus add the slope in as m, and there you are! Point slope form. (you also have to flip the signs when putting them in, causing -4 and -7 to become 4 and 7)
Hope this helps!
URGENT. Find f(3) if
f(x)=x^3 + 2x^2-x-1
Answer:
41
Step-by-step explanation:
Jus replace x with 3 and put it in a calculator.
Find the mean for the scores 3860,5300,8560,4,200,5360
Answer:
The mean is 5444
Step-by-step explanation:
Hope this helps!
Answer:
add and divide for the mean
Step-by-step explanation:
3860 + 5300 + 8560 + 4200 + 5360 = 27280
27280 ÷ 5 = 5456
Also, I have inserted a rhythm that helps you remember the mean, median, mode and range.
Hope this helps, stay safe, take care, keep smiling and always be happy. I believe in you my friend!! (if this is wrong please tell my and I will improve my answer!)For 1-4 which congruence postulate or theorem could be used to prove that the triangles are congruent
Answer:
Theorem 4.6 Angle-Angle-Side (AAS) Congruence Theorem: If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.
Step-by-step explanation:
help me i’m stuck on thus question
Answer:
2•8n•8n•8n•8n
Step-by-step explanation:
8n is it's own separate number so the other three would not work
What is the distance along the unit circle between any two successive 8th roots of 1?
Answer:
C.) pi/4
Step-by-step explanation:
Edg 2020, answered the question and got it right :)
3) 4 hours worked for $12; 7 hours worked for $28
O yes
no
Answer:
no cuz if u work for 4 hours and get $12 then if u work for 7 hours u get $21
Step-by-step explanation:
An 80-member committee voted on whether to send a certain bill to the governing board. One-fourth voted in favor, 2/5 voted against, and the rest abstained. How many abstained?
Answer:
Let's understand the concept:-Here the committee consists of 80membersFor finding the abstained we need to find first How many voted in favour and in against Required Answer :-The number of members =80
One fourth voted in favour So first find how many voted in favour[tex]{:}\longmapsto [/tex][tex]\sf {\dfrac{1}{{\bcancel {4}}}}×{\bcancel {80}} [/tex]
[tex]{:}\longmapsto [/tex][tex]\sf 20[/tex]
20 members voted in favour Again two fifth voted against Find how many voted against[tex]{:}\longmapsto [/tex][tex]\sf {\dfrac {2}{5}}×80 [/tex]
[tex]{:}\longmapsto [/tex][tex]\sf {\dfrac {160}{5}}[/tex]
[tex]{:}\longmapsto [/tex][tex]\sf 32 [/tex]
32 members voted against Now ,Rest members stayed abstained So we need to substract all voted members from the whole committee to get rest[tex]{:}\longmapsto [/tex][tex]\sf 80-(32+20)[/tex]
[tex]{:}\longmapsto [/tex][tex]\sf 80-52 [/tex]
[tex]{:}\longmapsto [/tex][tex]\sf 28 [/tex]
[tex]\therefore[/tex] 28 members stay abstained.
I NEED HELP ASAP WITH THIS QUESTION
Answer:
A: mean and mode
B: mean
C: median and mode
D: median is greater
Step-by-step explanation:
im not so sure about the answer for a bit I hope this helped you a bit.
I need help please Will mark brainliest. Thank you
answerrrrrrrrrrrrrrrrrrrrrrrrr
I need help please!:D
Answer:
first one bro, its easy just multiply 10×10×10=30and0,43
Answer: 30 x 50 = 430/10 x 0.43 = 4.3 thats all i got bc im working on the same thing
Step-by-step explanation:
A sock drawer has 17 folded pairs of socks, with 5 pairs of white, 8 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?
Answer:
26.4%
Step-by-step explanation:
PLS GIVE BRAINLIEST
The probability of selecting a black pair of socks first, then a blue or white pair of socks is 27/136.
The probability of selecting a black pair of socks first is:
probability = (number of black pairs)/(total number of pairs)
= 8/17
Once a black pair of socks has been selected, there are 16 pairs of socks left in the drawer. Of these 16 pairs, 9 are either blue or white.
The probability of selecting a blue or white pair of socks second is:
probability = (number of blue and white pairs)/(number of remaining pairs)
= 9/16
Therefore, the overall probability of selecting a black pair of socks first, then a blue or white pair of socks is:
probability = (8/17)*(9/16)
= 27/136
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Select the correct answer how many solutions for x dose the following equation have 2(x+4)-1=2x+7
Answer:
every number is correct.
Step-by-step explanation:
2 (x + 4) - 1 = 2x + 7
2x + 8 - 1 = 2x + 7
2x + 7 = 2x + 7
- 7 - 7
2x = 2x
/2 /2
x = x
IQ scores (as measured by the Stanford-Binet intelligence test) in a certain country are normally distributed with a mean of 95 and a standard deviation of 18. Find the approximate number of people in the country (assuming a total population of 323,000,000) with an IQ higher than 126. (Round your answer to the nearest hundred thousand.)
Answer:
13,797,339 people
Step-by-step explanation:
Given that μ = 95 and σ = 18
The total number of population is N = 323,000,000
Now, we calculate the probability that IQ is higher than 126
P(X>126) = 1 - P[Z ≤ 126 - 95 / 18]
P(X>126) = 1 - P[Z ≤ 1.72]
P(X>126) = 1 - [ NORMSDIST(1.72)] Using MS Excel
P(X>126) = 1 - 0.957283779
P(X>126) = 0.042716221
Hence, the required probability is 0.042716221
Now, we calculate the approximate number of people in the county with an IQ higher than 126
Number of people = P(X>128) * N
Number of people = 0.042716221 * 323,000,000
Number of people = 13797339.383
Number of people = 13,797,339
Therefore, the approximate number of people in the country with an IQ higher than 126 is 13,797,339 in population
There are 13800000 people in the country with an IQ higher than 126
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 95, σ = 18;
For x > 126:
[tex]z=\frac{126-95}{18} =1.72[/tex]
From the normal distribution table, P(z > 1.72) = 1 - P(z < 1.72) = 1 - 0.9573 = 0.0427
For a total population of 323,000,000:
Number of people in the country = 0.0427 * 323,000,000 = 13800000
Hence there are 13800000 people in the country with an IQ higher than 126
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True or false:
FGH is a right triangle
Answer:
False
Step-by-step explanation:
Suppose |FG| is hypotenuse
the sum of square length of side legs must be equal to square of hypotenuse
(√63)^2 + 6^2 = 10^2
63 + 36 = 100
99 is not equal to 100 therefore the given triangle is not a right triangle.
A park shaped like a rectangle. The diagram shows the how the park is split into a sports field and a playground. Let x represent the length in meters of the sports field. Write an expression to represent the area of the park as the sum of the areas of the sports field and the playground.
Answer:
20x + 310
Step-by-step explanation:
step 2 is 20(x + 15.5)
triangle is graft on a coordinate grid and then translated three units to the left in two units up. Of one vertice of The original triangle is located at (1,-8) what is the order pair of this vertex of the new triangle after translation?
Answer: 33
Step-by-step explanation:
A camera has listed a price of $687.99 before tax. If the sales tax rate is 9.25% find the total cost of the camera with sales tax
Answer:
$ 751.63
Step-by-step explanation:
1) To find 9.25% of $687.99, multiply both of them. 687.99 x 0.0925 = 63.64
2) Add the previous number to the original price of the camera, 687.99 + 63.64 = $751.63
what are the first four multiples of the number 6
Answer:
6,12,18,24
Step-by-step explanation:
A movie theater sold 1,096 tickets on Friday. On Saturday, it sold 4 times as many tickets as on Friday. How many tickets did the movie theater sell on Saturday? A. 4,096 B. 4,364 C. 4,384 D. 4,416
Answer:C.4,384
Step-by-step explanation:
1,096 × 4 = 4,384
This is why the answer is C.4,384.