Answers
[tex]f(x) = 5^x \\ f(2) = 5^2 = 25[/tex]
Related Questions
What is true about the solutions of a quadratic equation when the radicand in the quadratic formula is negative? No real solutions Two identical rational solutions Two different rational solutions Two irrational solutions
Answers
no real solutions. <<<< answer.
To confirm this, the question is saying what is the square root of (say) - 5?
There is no answer in the real number system.
Answer:
If the radicand in the quadratic formula is negative then no real solutions possible.
Step-by-step explanation:
Given that when the radicand in the quadratic formula is negative then we have to find the true statement about the solution of quadratic equation.
Radicand of quadratic formula i.e the discriminant of quadratic formula.
[tex]D=b^2-4ac[/tex]
which comes in the solution under the root.
The solution of general quadratic equation is
[tex]x=\frac{-b\pm \sqrt D}{2a}[/tex]
As discriminant is negative then we can not find any real root for the given equation.
Hence, option 1 is correct.
No real solutions possible.
How the bloody hell do I answer these? Please explain how you did it.
1. In the xy plane, line m passes through the points (a,0) and (0,2a), where a>1. What is the slope of line m?
a)-2 b)-1/2 c)2 d)-2a e)2a
2. First, 3 is subtracted from x and the square root of the difference is taken. Then, 5 is added to the result, giving a final result of 9. What is the value of x?
a)3 b)4 c)5 d)16 e)19
3. If S is the set of positive that are multiples of 7, and if T is the set of positive integers that are multiples of 13, how many integers are in the intersection of S and T?
a)none b)one c)seven d)thirteen e)more than thirteen
4. A florist buys roses at $0.50 each and sells them for $1.00 each. If there are no other expenses, how many roses must be sold in order to make a profit of $3.00?
a)100 b)150 c)200 d)300 e)600
Answers
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
where (a,0) is x1, y1 and (0,2a) is x2, y2. try to see if you can do it now (:
2. take a number x, then step by step do whatever the question asks for example "First, 3 is subtracted from x" so you know the first thing you need to do is x-3, then go on and you'll get an equation which you can use to solve for x, try it!
3. make a set, S, which has multiples of 7. then make a set, T, which has multiples of 13.
now the intersection of S and T is a set having all elements of S, also found in T (basically the numbers that are common to both). try doing it now!
for fourth, this requires a profit formula(that I do not know), must be explained in your book, try going over it, I'm sure you'll find it there!
What is the value of x?
Answers
40/8 =5
x = 5
hope this helps
If, triangle MNO congruent triangle PQR which of the following can you NOT conclude as being true?
A. ray MN congruent ray PR
B. angle M congruent angle P
C. ray NO congruent ray QR
D. angle N congruent angle Q,
Answers
Heyo! ;D
So, we can conclude that based on the information given above, the only one we cannot conclude on being true would be Option A) Ray MN ≅ Ray PR
PLEASE HELP ASAP!!! 51 PTS
Answers
y-1=-1/4(x+5)
x+5=-4y+4
x+5-5=-4y+4-5
x=-4y-1
I hope this helps!!!!!!!!!!
Sue can sew a precut dress in 3 hours. helen can sew the same dress in 2 hours. if they work together, how long will it take them to complete sewing that dress? round to one decimal place.
Answers
The LCD is 2*3*t.
If you multiply everything by the LCD, you can clear your fractions.
6t (1/3) + 6t (1/2) = 6t (1/t)
2t + 3t = 6
5t = 6
5t/5 = 6/5
Answer:
Which is: t = 1.2 hrs.
Final answer:
Sue and Helen can sew a dress in 1.2 hours when working together.
Explanation:
Calculating Time to Sew a Dress Together
Sue and Helen are working together to sew a dress and we need to calculate the total time it will take them to complete the sewing when working simultaneously. Sue can sew a precut dress in 3 hours, which means Sue's rate is 1 dress per 3 hours, or
1/3 dress per hour. Helen can sew the same dress in 2 hours, which means Helen's rate is 1 dress per 2 hours, or
1/2 dress per hour. Working together, their combined rate is the sum of their individual rates:
Total rate = 1/3 + 1/2
This results in a combined rate of 5/6 dresses per hour when we find a common denominator and add the fractions. To find the time it takes them to sew one dress together, we take the reciprocal of their combined rate:
Time = 1 / (5/6) hours
This simplifies to 6/5 hours.
Therefore, Sue and Helen will take 1.2 hours to complete the dress when working together.
mittens are marked down 25% the sale price is 3.15 a pair what was the original price of a pair of mittens
Answers
I did this by taking 3.15 / 0.25
when I do percentages at the store with sales, I always take whatever the percent off is, off the dollar amount.. so 25% would be to take 25 cents off every dollar.
Please help asap! Match the graph with the correct equation.
Answers
Suppose you buy a CD for $300 that earns 3% APR and is compounded quarterly. The CD matures in 3 years. How much will this CD be worth at maturity?
A. $328.14
B. $309.12
C. $309.10
D. $303.01
help?,
Answers
Find the complement of an angle whose measure is 74 degrees. Show all work.
Answers
angle = 16°
Explanation:
Complementary angles are angles that add up to 90°
Assume that the angle that we are looking for is x.
Based on the definition of the complementary angles, the equation will be as follows:
x + 74 = 90
Now, we will simply solve for x as follows:
x = 90 - 74
x = 16°
Hope this helps :)
Answer:
16⁰
Step-by-step explanation:
Angle = 74⁰
Complement = 90 - 74 = 16⁰
What is the value of x?
Answers
Firstly, the sum of all angles in a triangle is equal to 180.
Secondly, supplementary angles are two angles that form a straight line. In other words, the two lines sum up to 180 degrees.
Looking at your figure and the rules written above, you can then assume that the measure of angle x is equal to the sum of the two angles given inside the triangle.
53 + 45 = 98
Angle x is 98 degrees
find the simplified form of (-7.4)^0?
A.-1
B.-7.4
C.0
D.1
Answers
Final answer:
Any non-zero number raised to the power of 0 is 1, so the simplified form of (-7.4)⁰ is 1 that is option D is correct.
Explanation:
The simplified form of (-7.4)⁰ is determined by one of the fundamental rules of exponents, which states that any non-zero number raised to the power of 0 is 1. This means that regardless of what the base number is, as long as it is not zero, if the exponent is 0, the result will always be 1. It is important to note that 0^0 is an indeterminate form and is not covered by this rule. Therefore, the simplified form of (-7.4)⁰ is:
D. 1
The Truth About Antibacterial Soap
According to Discovery Fit & Health, about 75 percent of liquid soaps claim to be antibacterial. While this kind of soap sounds like a good idea, it is really not more effective than regular soap. Soap in general works by binding with dirt and grime and bacteria. This binding action allows the particles to be washed away easily. Antibacterial soap really does no more than regular soap. In fact, to be more effective than regular soap, antibacterial soap should stay on your skin for about two minutes to do what it claims it can do. Most people do not wash their hands that long. In addition, antibacterial soap may do harm. First it kills both beneficial and harmful bacteria. Second, scientists believe bacteria may become resistant to antibacterial agents over time, especially if they are not used correctly. Finally, antibacterial soap does nothing to viruses. Most of the time, we get sick from viruses, not bacteria. In sum, antibacterial soap does not live up to the hype. You are better off just using regular soap.
Works Cited
Is Antibacterial Soap Any Better than Regular Soap?
http://health.howstuffworks.com/skin-care/cleansing/myths/question692.htm
How is "The Truth About Antibacterial Soap" organized?
Fact by fact
Cause and effect
Chronological order
Problem-solution
its actually language arts not math sorry
Answers
it is organized in chronological order
Answer:
chronlogical order
the other answer for the other question is they dont wash their hand long enough
2. Rhianna is buying a car for $14,390. She has a $1000 trade-in allowance and will make a $1500 down payment. She will finance the rest with a 4-year auto loan at 2.6% APR.
Answers
To find this value, you just need to start with the numbers that you know.
First, find the cost of the loan. 14390 - 1000 - 1500 = 11890
We have to subtract her down payment and trade in allowance.
Then, we need the rate of 2.6%
Finally, the term of the loan is 4 years or 48 months.
Simply plug these values into your equation or use an online calculator. There are numerous ones you can find online.
Answer:
$261.08
Step-by-step explanation:
Worth of Car=$14,390
Trade-in allowance=$1000
Down Payment= $1500
Value of Loan=14390-(1000+1500)
=$11890
The Monthly Payment for a loan P, taken at a Monthly interest rate, r for a number of m months, is gotten using the formula:
[TeX] Monthly\:Payment=\frac{rP}{1-(1+r)^{-m}} [/TeX]
P=$11890
Monthly Interest Rate,r=0.026/12=0.002167
Number of Months, m=4*12=48 Months
[TeX] Monthly\:Payment=\frac{0.002167*11890}{1-(1+0.002167)^{-48}} [/TeX]
=$261.08
The Monthly Payment on the car loan is $261.08.
Use the angle sum identity to find the exact value of cos 105
Answers
please help i have 2 questions thank you
Answers
Here is your answer:
Since the second question is already solved ill solve the first on:
The proper answer to this question is option D "17.2".
Here is how:
Formula for area:
b*w*h
3*7=21
21-3.7=17.2
Your answer is D.
If you need anymore help feel free to ask me!
Hope this helps!
the point (0,0) is a solution to which of these inequalities?
a.y+7< 2x + 6
b.y- 7< 2x - 6
c.y -6< 2x - 7
d.y + 7< 2x -6
Answers
the apex answer to it D. y – 7 < 2x – 6
Answer: The correct option is (B) [tex]y-7<2x-6.[/tex]
Step-by-step explanation: We are given to select the inequalities that has the point (0, 0) as a solution.
Option (A):
The given inequality is
[tex]y+7<2x+6.[/tex]
At the point (0, 0), we have
[tex]L.H.S.=y+7=0+7=7,\\\\R.H.S.=2x+6=2\times0+6=6.[/tex]
Since 7 > 6, so the point (0, 0) is not a solution to this inequality.
This option is NOT correct.
Option (B):
The given inequality is
[tex]y-7<2x-6.[/tex]
At the point (0, 0), we have
[tex]L.H.S.=y-7=0-7=-7,\\\\R.H.S.=2x-6=2\times0-6=-6.[/tex]
Since -7 < - 6, so the point (0, 0) is a solution to this inequality.
This option is correct.
Option (C):
The given inequality is
[tex]y-6<2x-7.[/tex]
At the point (0, 0), we have
[tex]L.H.S.=y-6=0-6=-6,\\\\R.H.S.=2x-7=2\times0-7=-7.[/tex]
Since -6 > - 7, so the point (0, 0) is not a solution to this inequality.
This option is NOT correct.
Option (D):
The given inequality is
[tex]y+7<2x-6.[/tex]
At the point (0, 0), we have
[tex]L.H.S.=y+7=0+7=7,\\\\R.H.S.=2x-6=2\times0-6=-6.[/tex]
Since 7 > - 6, so the point (0, 0) is not a solution to this inequality.
This option is NOT correct.
Thus, the point (0, 0) is a solution to the inequality [tex]y-7<2x-6.[/tex]
Option (B) is correct.
What is the period of the sinusoid given by y=-3cos(2pi/5 x)?
Answers
y=a cos (bx+c) +d
a=-3; b=2pi/5; c=0; and d=0
Period: P=2pi/b
P=2pi/(2pi/5)
P=2pi*[5/(2pi)]
P=(2pi*5)/(2pi)
P=5
Answer: The period of the sinusoid given by y=-3cos(2pi/5 x) is 5.
A trapezoid has bases that measure 10 centimeters and 14 centimeters and a height that measures 8 centimeters. What is the area?
Answers
Hope this helped!
Brainliest Plz?
Bill had saved $825 from his last 8 paychecks. He saved either 75$ or 150$ a paycheck.for the 8 paychecks,how many times did bill save $75 from his paycheck
Answers
Let us assume the number of times Bill saved $75 from his paycheck = x
Let us assume he number of times Bill saved $150 from his paycheck = y
Since he saved 75$ or 150$ for the 8 paychecks.
So, x+y=8
y=8-x (Equation 1)
Since Bill saved $825 from his last 8 paychecks using $75 or $150.
So, 75x+150y=825 (Equation 2)
Substituting the value of 'y' from equation 1 in equation 2,
[tex] 75x+150(8-x)=825 [/tex]
[tex] 75x+1200-150x=825 [/tex]
[tex] 75x-150x=825-1200 [/tex]
[tex] -75x=-375 [/tex]
x = 5
Therefore, Bill saved $75, 5 times from his paycheck.
Answer:
5
Step-by-step explanation:
The first term in a geometric sequence is 1/9 and the common ratio is −3. Find the 7th term in the sequence.
Answers
Let n=7
Finding the 7th term, the answer is -3^4 = =-81
The 7th term of the sequence is 81
The nth term of a geometric sequence is expressed as:
[tex]T_n=ar^{n-1}[/tex]
a is the first term = 1/9r is the common ratio = -3n is the number of terms = 7Substitute the given parameters into the formula to have:
[tex]T_7=1/9(-3)^{7-1}\\T_7=1/9(-3)^6\\T_7=1/9(729)\\T_7=81[/tex]
Hence the 7th term of the sequence is 81
learn more on geometric sequence here: https://brainly.com/question/12006112
What is the y intercept of the line given by the equation y= 8x + 75
Answers
Answer: (0,8)
Step-by-step explanation:
here you go
Express 1.21212121.... as a fraction
Answers
To solve such questions we will have to observe the fact that this is a repeating decimal number with the repeating figures being 2 and 1 as 21.
Thus, we can represent 1.21212121... as [tex] 1.\overline{21} [/tex]
Let us represent the original number 1.21212121... by the letter "a". Thus,
a=1.21212121...=[tex] 1.\overline{21} [/tex]
Therefore,[tex] a=1.\overline{21} [/tex]..................(equation 1)
Let us now multiply (equation 1) by 100 to get:
[tex] 100a=100\times 1.212121...=121.\overline{21} [/tex].....(equation 2)
Now, when we subtract (equation 2) from (equation 1), we will get:
[tex] 100a-a=121.\overline{21}-1.\overline{21} [/tex]
[tex] 99a=120 [/tex]
[tex] \therefore a=\frac{120}{99} [/tex]
Thus the given number 1.21212121... can be represented as a fraction as [tex] \frac{120}{9} [/tex].
The cost of 16 notebooks at store J is $24. The notebooks at store J are all the same price. The cost of notebooks at store J are all the same price. The cost of store K is shown on the graph below.
Which store has the least expensive cost per notebook and how much?
Answers
[tex]\bf \stackrel{Store~J}{\begin{array}{ccll} books&cost\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 16&24\\ 10&x \end{array}}\implies \cfrac{16}{10}=\cfrac{24}{x}\implies x=\cfrac{10\cdot 24}{16}\implies x=15[/tex]
so, that much at Store J.
now, look at the graph, notice the point when x = 10, y = 8, so at Store K, is 8 bucks for 10 books.
which is cheaper? well, surely you'd know that.
A car travels at an average speed of 40 miles per hour for the first 100 miles of a 200-mile trip, and at an average speed of 50 miles per hour for the final 100 miles. what is the car's average speed for the entire 200-mile trip?
Answers
Time needed for the first 100 miles
= 100 ÷ 40 = 2.5 hours
Time needed for the second 100 miles
= 100 ÷ 50 = 2 hours
Total time = 2.5 + 2 = 4.5 hours
Average speed = 200 ÷ 4.5 hours = 44.4 miles per hour
The radius r of a circle is increasing at a rate of 3 inches per minute. Find the rate of change of the area when r = 5 inches and r = 21 inches. (a) r = 5 inches
Answers
dA/dt=dA/dr×dr/dt
dA/dr=2πr
dA/dt=2πr dr/dt
we are told that the radius is increasing at the rate 3 in/min
dr/dt=3 in/min
we are required to find:
a] (dA/dt) when radius is r=5 inch
dA/dt=2πr dr/dt
dA/dt=2π(5)×3
dA/dt=30π in²/ min
b] (dA/dt) when radius is r=21 in
dA/dt=2πr dr/dt
dA/dt=2π(21)×3
dA/dt=126π in²/min
Final answer:
The rate of change of the area of a circle with a radius increasing at a constant rate can be calculated using the derivative of the area formula. For r = 5 inches, the rate is 30π square inches per minute and for r = 21 inches, the rate is 126π square inches per minute.
Explanation:
The student is asking about the rate of change of the area of a circle when its radius is increasing at a constant rate. This is a calculus problem that involves derivatives and can be solved using the formula for the area of a circle, A = πr² where A is the area and r is the radius. The rate of change of the radius, ℓr/ℓt, is given as 3 inches per minute.
To find the rate of change of the area, denoted as ℓA/ℓt, we take the derivative of A with respect to t, using the chain rule, which gives us ℓA/ℓt = 2πr(ℓr/ℓt). When r = 5 inches, substituting the values, we obtain ℓA/ℓt = 2π(5)(3) = 30π square inches per minute. Similarly, when r = 21 inches, ℓA/ℓt = 2π(21)(3) = 126π square inches per minute.
Find the vertex of y = x2 + 14x − 40 by completing the square.
Answers
x =(14+√36)/2=7+3= 10.000
or:
x =(14-√36)/2=7-3= 4.000
For which pair of function is (g*f)(a)=|a|-2
1. f(a)=a^2-4 and g(a)= sqaureroot a
2. f(a)= 1/2a-1 and g(a)=2a-2
3. f(a)=5+a^2 and g(a) = sqaureroot (a-5)-2
4.f(a) =3 -3a and g(a)=4a-5
Answers
... selection 3 is appropriate.
Answer:
The correct pair is 3
Step-by-step explanation:
1.
[tex]f(a)=a^{2}-4 , g(a)=\sqrt{a} \\gof(a)=g(a^{2} -4)\\=\sqrt{a^{2}-4 } \neq |a|-2[/tex]
2.
[tex]f(a)=\frac{1}{2\cdot a-1}, g(a)=2\cdot a -2\\gof(a)=g(\frac{1}{2\cdot a-1} )\\=\frac{2}{2\cdot a-1}-2\\=\frac{4-2\cdot a}{2\cdot a-1}\neq|a|-2[/tex]
3.
[tex]f(a)=5+a^{2} , g(a)=\sqrt{a-5} -2\\gof(a)=g(5+a^{2} )\\=\sqrt{5+a^{2}-5 } -2\\=\sqrt{a^{2} } -2\\=|a|-2[/tex]
4.
[tex]f(a)=3-3\cdot a , g(a)=4\cdot a-5\\gof(a)=g(3-3\cdot a )\\=4(3-3\cdot a)-5\\=7-12\cdot a\neq|a|-2[/tex]
Hence, the Option 3 is correct
If sound travels approximately 1 km in 3 s, and the lightning is striking 10 km from your house, how much time passes between a flash of lightning and the sound of thunder?
Answers
3 seconds * 10 kilometers = 30 seconds
Plzzz help will give the brainliest for correct answer
Answers
The Pythagorean theorem is a squared plus b squared equals c.
c would equal the hypotenuse.
b is the opposite.
a is the adjacent.
you would do 24 squared plus x squared = 26 squared
after you square 24 and 26
576+x=676
-576. -576
-----------------
x=100
square root it to get
x=10
d is your answer
24²+b²=26²
576+b²=676²
676-576=100
b²=100
Then you square root 100.
b=10
Your answer is 10!
Hope that helps! :D