Answer:
0
Step-by-step explanation:
[tex]f(x)=\sqrt{x}+12 and g(x)=2\sqrt{x}[/tex]
We need to find (f-g)(144)
(f-g)(144) = f(144) - g(144)
[tex]f(x)=\sqrt{x}+12[/tex]
[tex]f(144)=\sqrt{144}+12=12+12= 24[/tex]
[tex]g(x)=2\sqrt{x}[/tex]
[tex]g(144)=2\sqrt{144}=2(12)= 24[/tex]
(f-g)(144) = f(144) - g(144)= 24-24=0
Answer:
o is correct answer
Step-by-step explanation:
f(x)=[tex]\sqrt{x}[/tex]+12
g(x)=2[tex]\sqrt{x}[/tex]
we will find
(f-g)x=[tex]\sqrt{x}[/tex]+12-2[tex]\sqrt{x}[/tex]
(f-g)x=-[tex]\sqrt{x}[/tex]+12
now we will find
(f-g)(144)
put x=144
(f-g)(144)=- [tex]\sqrt{144}[/tex]+12
(f-g)(144)=-12+12=0
hence proved
A statistics teacher conducted an experiment to test whether the use of a new review booklet will improve her students' semester grades. The teacher randomly selected 20 students from her class and assigned the new review booklet to 10 of the students. The remaining 10 students did not use any review material.
At the end of the semester, the teacher reviewed the students' semester grades. The semester grades of the students who used the new review booklet were the same as the semester grades of the students who did not.
What can be concluded from the teacher's observations?
A. It can be concluded that the new review booklet does not improve students' semester grades.
B. It can be concluded that the new review booklet reduces students' semester grades.
C. There is not enough information to make any conclusions regarding the new review booklet.
D. It can be concluded that the new review booklet improves students' semester grades.
Answer:
C. There is not enough information to make any conclusions regarding the new review booklet.
Step-by-step explanation:
Given that A statistics teacher conducted an experiment to test whether the use of a new review booklet will improve her students' semester grades.
also given that The teacher randomly selected 20 students from her class and assigned the new review booklet to 10 of the students. The remaining 10 students did not use any review material.
The semester grades did not differ for both groups.
But we cannot conclude the booklet has no effect because,
i) The sample size is very small, only 10. Hence not reliable
ii) We do not know the previous performance of both the groups. To ensure improvement the grades the students got in the previous exam also should be considered.
Answer: A
Step-by-step explanation:
Plato users
I need help with 9 & 10 please!
using the random digits table from the lesson, start with the number in the tenth column, eighth row. list that number and next 4 numbers in the column.
First number
54, 50, 98, 82, 71, 19, 99, 09, 10
second number
09, 54, 98, 10, 19, 99, 71, 50, 82
third number
54, 99, 19, 98, 71, 50, 09, 10, 82
fourth number
99, 10, 98, 19, 54, 50, 09, 71, 82
fifth number
10, 99, 82, 19, 50, 54, 71, 09, 98
Answer:
19, 82, 54, 09 and 99
Step-by-step explanation:
From the random table, row numbers are given on the left side of the table and the column numbers are given on the top of the table.
On seeing them, the number on the tenth column and eighth row is 19.
The next 4 numbers on the same column are the elements in the 9th, 10th, 11th and 12 rows and on the same tenth column.
They are:
82, 54, 09 and 99.
Answer:
19, 82, 54, 09 and 99
Step-by-step explanation:
From the random table, row numbers are given on the left side of the table and the column numbers are given on the top of the table.
On seeing them, the number on the tenth column and eighth row is 19.
The next 4 numbers on the same column are the elements in the 9th, 10th, 11th and 12 rows and on the same tenth column.
They are:
82, 54, 09 and 99.
Step-by-step explanation:
Write the ratio as a percent
In the small country of varia a bill becomes law only if 34/50 of the senators approve it
53%
66%
68%
84%
Answer:
68%
Step-by-step explanation:
Percent means out of 100, so lets see if we can change the fraction to have a denominator of 100
34/50 * 2/2 = 68/100
This is 68%
evaluate the expression 2m +n for m=13 and n=3
Answer:
This is equal to 29
Step-by-step explanation:
2(13)+3=29
Solve the equation -2(y - 1) = 9.
[tex]-2(y - 1) = 9\ /:(-2)\\y-1=-4.5\\y=-4.5+1\\y=-3.5[/tex]
Express 1.05 as a percent
1. 05 × 100
105%
(You move the decimal over twice)
Answer: 105%
Step-by-step explanation:
Divide. 413÷129 Enter your answer, as a mixed number in simplest form, in the box.
For this case we must divide the following expression:
[tex]\frac {413} {129}[/tex]
The expression can not be simplified. When dividing we have that its decimal form is given by:
3,201550
If we convert to a mixed number we have:
[tex]3 \frac {26} {129}[/tex]
Verifying:
[tex]3 \frac {26} {129} = \frac {129 * 3 + 26} {129} = \frac {413} {129}[/tex]
Answer:
[tex]3 \frac {26} {129}[/tex]
Nicole drove
355 miles using 17 gallons of gas. At this rate, how many gallons of gas would she need to drive 284 miles?
Answer:
13.6 i believe, but that could, should be right tho.
Step-by-step explanation:
355/17=20.88235294 then 284/20.88235294=13.6
For this case, you want to know how many gallons of gasoline Nicole needs to drive 284 miles, knowing that with 17 she drove 355 miles. For this, we make a rule of three:
[tex]355 \ miles -----------> 17 \ gallons\\284 \ miles -----------> x[/tex]
Where "x" represents the number of gallons consumed in 284 miles.
[tex]x = \frac {284 * 17} {355}\\x = 13.6 \ gallons[/tex]
So, Nicole will need 13.6 gallons of gas to drive 284 miles
Answer:
13.6 gallons
Explain when you know you need to rename a mixed number to subtract
When subtracting mixed numbers, rename the mixed number if the subtrahend is larger than the minuend by converting them into improper fractions and then subtracting the numerator while keeping the denominator the same.
Explanation:When subtracting mixed numbers, you may need to rename the mixed number if the subtrahend is larger than the minuend.
This means that the whole number part of the subtrahend is greater than the whole number part of the minuend, or the fractions have different denominators.
To rename the mixed number, you convert it into an improper fraction.
Once both mixed numbers are in the same form, you can subtract them by subtracting the numerator and keeping the denominator the same. Finally, simplify the answer if needed.
What is the exact value of arcsin(−2√2)
Answer:
π4;3π4
Step-by-step explanation: Trig table gives:
sinx=√22 --> arc x=π4
Unit circle gives another arc x that has the same sin value:
x=π−π4=3π4
The exact value of [tex]\(\arcsin(-2\sqrt{2})\)[/tex] is not defined within the real numbers because the sine function has a range of [tex]\([-1, 1]\)[/tex], and the argument [tex]\(-2\sqrt{2}\)[/tex] lies outside this interval. The arcsine function, [tex]\(\arcsin(x)\)[/tex], is only defined for [tex]\(x\)[/tex] in the interval [tex]\([-1, 1]\)[/tex] .
To illustrate, the sine function reaches its maximum value of [tex]\(1\)[/tex] at [tex]\(\frac{\pi}{2}\)[/tex] and its minimum value of [tex]\(-1\)[/tex] at [tex]\(-\frac{\pi}{2}\)[/tex]. Any value outside the interval [tex]\([-1, 1]\)[/tex] is not within the domain of the inverse sine function. Therefore,[tex]\(\arcsin(-2\sqrt{2})\) does not have a real value.[/tex]
However, if we were to consider complex numbers, we could use Euler's formula and the definition of the complex logarithm to find a complex value for [tex]\(\arcsin(-2\sqrt{2})\)[/tex]. The general formula for the arcsine of a complex number [tex]\(z\)[/tex] is given by:
[tex]\[ \arcsin(z) = -i \ln\left(iz + \sqrt{1 - z^2}\right) \][/tex]
For [tex]\(z = -2\sqrt{2}\)[/tex], we would have:
[tex]\[ \arcsin(-2\sqrt{2}) = -i \ln\left(-2i\sqrt{2} + \sqrt{1 - (-2\sqrt{2})^2}\right) \][/tex]
Simplifying the expression under the square root:
[tex]\[ \sqrt{1 - (-2\sqrt{2})^2} = \sqrt{1 - 8} = \sqrt{-7} \][/tex]
Since [tex]\(\sqrt{-7} = i\sqrt{7}\)[/tex], we can continue the calculation:
[tex]\[ \arcsin(-2\sqrt{2}) = -i \ln\left(-2i\sqrt{2} + i\sqrt{7}\right) \][/tex]
This expression involves the complex logarithm, which is multi-valued due to the periodicity of the complex exponential function. Therefore, the value of [tex]\(\arcsin(-2\sqrt{2})\)[/tex] in the complex plane is not unique and requires careful handling of the branch cuts of the logarithm function. However, as stated earlier, within the realm of real numbers, [tex]\(\arcsin(-2\sqrt{2})\)[/tex] is undefined.
Elizabeth,frank,gary, and helen are getting in line to buy lunch in the cafeteria. How many different ways could they line up so that helen is first in line?
Answer:
Step-by-step explanation: the correct answer is definitely 6
Final answer:
With Helen fixed in the first position, there are 6 different ways Elizabeth, Frank, and Gary can line up behind her, computed by a permutation of the 3 remaining people.
Explanation:
If Helen is always the first in line, we just need to focus on the different ways Elizabeth, Frank, and Gary can line up behind her. For the first spot behind Helen, there are 3 choices (Elizabeth, Frank, or Gary). After choosing one, there are 2 remaining choices for the next spot, and finally, the last person will have no choice but to take the last remaining spot. This is a permutation problem where we multiply the different choices together.
Thus, the number of ways they can line up is 3 (for the second spot) imes 2 (for the third spot) imes 1 (for the last spot), which equals 6 different possible lineups.
Which value is the same as 2 tenths?
Answer:
0.2
Step-by-step explanation:
2/10=0.2
The length of a rectangle is three centimeters more than twice the width. The perimeter is 78 centimeters. Define a variable and write and solve an equation to find out how long and wide the rectangle is?
I need to find the length? how?
How many permutations are possible for 11 objects taken 7 at a time? 330 5,040 237,600 1,663,200
The number of permutations possible for 11 objects taken 7 at a time is 1663200
Using the permutation formula :
nPr = n!/(n - r)!Here ,
n = 11 ; r = 7Inputting our values:
11P7 = 11!/(11 - 7)!
Evaluate:
11P7 = 1663200
A store offers 20% off all items. If x is the original purchase price, which expression represents the final price with the discount? Select all that apply.
A. 1.2x
B. 0.8x
C. x
D. x – 0.2x
E. x + 0.2x
Answer:
B & D
Step-by-step explanation:
We use percents in decimal form to multiply it with the price. We convert percents into decimals by dividing the percent number by 100. For example, 78% divided by 100 becomes 0.78.
There are two ways to look at it:
For finding the price we pay during a sale, we focus on the percent we pay. If 22% off is the sale, then we spend 78% or 100-22=78. If 20% off is the sale, then we pay 80% or 0.80. Multiply that by x an unknown price and we have 0.8x.
We can find the percent off by multiplying the price by the percent conversion. So 20% is 0.20. Then subtract it from the original price to find the leftover that we pay. This is x-0.2x.
Answer:
B and D
Step-by-step explanation:
use the law of sines to find the length of side c
Look at the picture.
The law os sine:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
We have
[tex]m\angle A=46.7^o\\\\m\angle C=48^o\\\\a=44\\\\c=?[/tex]
Substitute:
[tex]\dfrac{c}{\sin48^o}=\dfrac{44}{\sin46.7^o}\\\\\boxed{c=44.93}\to\boxed{A.}[/tex]
Answer:
A!
Step-by-step explanation:
What is the graph of the inequality?
x > -3
Help!
The graph shows calories compared to grams of protein.
What information can you draw from the point (3, 12) on the graph?
There are 3 calories in 1 gram of protein.
There are 3 calories in 12 grams of protein.
There are 12 calories in 3 grams of protein.
There is 1 calorie in 4 grams of protein.
Hello :3
Your answer would be C. (or "There are 12 calories in 3 grams of protein).
Hope This Helps (Hope i am not to late sorry if i am)
Cupkake~
have to find the slope intercept of this
Answer: The graph y-intercept is 4. The equation in y=mx+b form is: y= (2/3)x + 4
Step-by-step explanation:
Using rise over run to find the slope, we can see the graph goes up 2 units and over 3 units, but however does not go through the origin but instead at y=4.
Answer:
The graph y-intercept is 4. The equation in y=mx+b form is: y= (2/3)x + 4
Step-by-step explanation:Using rise over run to find the slope, we can see the graph goes up 2 units and over 3 units, but however does not go through the origin but instead at y=4.
Hope this helps! Merry Christmas!!
A ramp 31ft long raises to a platform. the bottom of the platform is 16ft from the foot of the ramp. find x, the angle of elevation of the ramp. round your answer to the nearest tenth of a degree.
The angle of elevation of the ramp (x) is approximately 58.9 degrees.
How to find the angle of elevation
To find the angle of elevation (x) of the ramp using the cosine function,
cos(x) = adjacent / hypotenuse
Given:
Adjacent side = 16 ft
Hypotenuse = 31 ft
Plug in these values into the formula
cos(x) = 16 / 31
To find x, take the inverse cosine (arccos) of both sides:
x = arccos(16 / 31)
Using a calculator, arccos(16 / 31) is approximately 58.9 degrees.
Therefore, rounding to the nearest tenth of a degree, the angle of elevation of the ramp (x) is approximately 58.9 degrees.
Marie plants flowers in a planter that is 1 1/2 feet long and 1 2/3 feet wide. She plans to cover the entire area with fertilizer. How much area will she need to spread with fertilizer
Answer:
2 3/6
Step-by-step explanation:
You must turn 1 2/3 and 1 1/2 into improper fractions. You then multiply them and get an answer of 15/6, but since 6 can go into 15 twice (6x2=12+3=15), you get a whole of 2 and 3/6.
Final answer:
Marie will need to cover an area of 2 1/2 square feet with fertilizer for her planter that is 1 1/2 feet long and 1 2/3 feet wide.
Explanation:
The question asks to calculate the area that needs to be covered with fertilizer for a planter with given dimensions.
Step-by-Step Solution:
Convert the dimensions of the planter into improper fractions for easier multiplication. The length is already given as an improper fraction (1 1/2 feet which is 3/2 feet). The width is 1 2/3 feet, which is 5/3 feet when converted.
Multiply the length by the width to find the area in square feet: (3/2) × (5/3) = 15/6 square feet.
Simplify the calculated area if necessary. The area 15/6 can be simplified to 2 1/2 square feet.
Therefore, Marie will need to spread fertilizer over an area of 2 1/2 square feet.
1. without graphing, where do the graphs of y = x^2 and y = 25 intersect? Explain.
2. Without graphing, where do the graphs of y = x^2 and y = 121 intersect? Explain.
"The graphs of [tex]\( y = x^2 \)[/tex] and [tex]\( y = 25 \)[/tex] intersect at the points where the value of [tex]\( x^2 \)[/tex] is equal to 25. To find these points, we set the equations equal to each other and solve for x :
[tex]\[ x^2 = 25 \][/tex]
Taking the square root of both sides gives us two solutions:
[tex]\[ x = \pm 5 \][/tex]
Therefore, the graphs intersect at [tex]\( (-5, 25) \) and \( (5, 25) \)[/tex].
Similarly, the graphs of [tex]\( y = x^2 \)[/tex] and [tex]\( y = 121 \)[/tex] intersect at the points where the value of [tex]\( x^2 \)[/tex] is equal to 121. We set the equations equal to each other and solve for [tex]\( x \)[/tex]:
[tex]\[ x^2 = 121 \][/tex]
Taking the square root of both sides gives us two solutions:
[tex]\[ x = \pm 11 \][/tex]
Thus, the graphs intersect at[tex]\( (-11, 121) \) and \( (11, 121) \)[/tex].
In both cases, the intersection points are determined by finding the values of [tex]\( x \)[/tex] that satisfy the equation [tex]\( x^2 = k \)[/tex], where[tex]\( k \)[/tex]is the constant on the right side of the equation[tex]\( y = k \)[/tex].
The solutions are the positive and negative square roots of [tex]\( k \)[/tex], since [tex]\( x^2 \)[/tex] is equal to [tex]\( k \)[/tex] at these points."
Pls help me: brainliest, rattings, and thanks
Four friends go out to lunch and decide to split the bill evenly. The bill comes to $46.64. How much does each person owe?
$15.55
$9.33
$11.66
$12
Answer:
11.66
Step-by-step explanation:
You have to divide 46.64 by four since there are four of them paying it evenly.
Answer:
11.66
Step-by-step explanation:
46.64/4= 11.66
I used desmos calculator to help me find this.
Hope this helps!
Patrick bought the 10 stamps shown at the right.
What is the height of a single stamp? Show your work
Answer:Part A 1.1 and Part B .75
Step-by-step explanation:
2.2 divided by 2 is 1.1
3.75 divided by 5 is .75
Answer:
Part A: 1.1 Part B: 0.75
Step-by-step explanation: For part A it's 1.1 because there's 2. stamps there and 1.1 + 1.1 = 2.2. For part A it's 0.75 because 3.75 divided by 5 is 0.75
help me! or i will have to retake my whole math semester over.
Answer:
Answer: g(x) = 32x - 7
Step-by-step explanation:
A vertical stretch is accomplished by multiplying by a constant greater than 1
So f(x) would be multiplied by 4 to get part of g(x)
4*f(x) = 4*8x = 32x
Now to get 7 units down subtract 7 from f(x)
4f(x) - 7= 32x - 7 Down is minus.
Answer: g(x) = 32x - 7
Which logarithmic equation is equivalent to the exponential below? e^a= 35
Answer:
[tex]log_{e}[/tex] 35 = a
Step-by-step explanation:
using the law of logarithms
• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
[tex]e^{a}[/tex] = 35 ⇒ [tex]log_{e}[/tex] 35 = a
Three distributions, labeled (a), (b), and (c), are represented below by their histograms. Each distribution is symmetrical and is made of
measurements. Without performing any calculations, order their respective standard deviations
,
, and
.
Answer:
order is
αb<αc<αa
Step-by-step explanation:
in a )
number 4 and number 12 are showing 3 bullets while number 7 and 9 showing 2 bullets hence
standard deviation for a=3-2=1
in b)
number 4 ,7,9 and number 12 are showing 2 bullets while number 3 and 13 showing 1 bullet hence
standard deviation for a=2-1=1
in c)
number 4 ,7,9 and number 12 are showing 2 bullets while number 5 and 11 showing 1 bullet hence
standard deviation for a=2-1=1
order isαb<αc<αa
Last year is a winter coat cost $175 this year the price increase 15% what is the new price
Answer:
The new price of the coat is $201.25
Step-by-step explanation:
The price will be higher since this is an increase.
Percent increase = (new price - old price) / old price
Substituting what we know
.15 = (new price -175)/175
Multiplying each side by 175
.15*175 = new price by 175
26.25 = New price-175
Add 175 to each side
26.25+175 = new price-175+175
201.25 = new price
The new price of the coat is 201.25
Final answer:
The new price of the winter coat after a 15% price increase on the original price of $175 is $201.25.
Explanation:
To find the increase, we need to calculate 15% of $175:
Increase = 15% of $175
= 0.15 * $175
= $26.25
Calculate the New Price:
To find the new price, we add the increase to last year's price:
New Price = Last Year's Price + Increase
= $175 + $26.25
= $201.25
Therefore, the new price of the winter coat after a 15% increase is $201.25.
Can you solve this for me please in a good way
Answer:
x = -2
Step-by-step explanation:
If you factor out 1/9 you get rid of the fractions and that makes the equation a whole lot easier.
[tex](5x+10)^2 - x(25x+27) + 46 = 0[/tex]
Next, eliminate the brackets:
[tex]25x^2 +100x + 100 - 25x^2 - 27x + 46 = 0[/tex]
Combine the terms:
[tex]x = \frac{- 146}{73} = -2[/tex]
Answer:
x = - 2
Step-by-step explanation:
The 9 does absolutely nothing. Multiply the whole equation by. 9. Remember that each term must show the 9 is missing
(5x + 10)^2 - x(25x + 27) + 46 = 0
Next expand the first and second binomial so that the brackets can be removed.
(25x^2 + 100x + 100) - (25x^2 + 27x) + 46 = 0
Now remove the brackets
25x^2 + 100x + 100 - 25x^2 - 27x + 46 = 0
Collect the like terms
25x^2 - 25x^2 + 100x - 27x + 100 +46 = 0
73x + 146 = 0
Subtract 146 from both sides
73x = - 146
Divide by 73
x = - 146/73
x = - 2 <<<< Answer