Answer:
The inverse of the function is
P^-1(t) = Log5 t - Log5 19,300
or P^-1(t) = Log5 (t/19,300)
Step-by-step explanation:
Here, we want to find the inverse of the function.
Make t the subject of the formula, then solve the equation for P(t)
P(t) = 19,300(5)^t
Replace P(t) with t and t with P(t)
So we have
t = 19,300(5)^P(t)
Now make P(t) subject of formula
divide both sides by 19,300
t/19,300 = 5^p(t)
By logarithmic law:
Log5 (t/19,300) = P(t)
Hence P(t) = Log5 t - Log5 19,300
Now replace P(t) with P^-1(t)
So the inverse is;
P^-1(t) = Log5 t - Log5 19,300
Answer:
C)
Step-by-step explanation:
got it right on edge :)
A triangle has squares on its three sides as shown below. What is the value of x? Three squares having side lengths
9 cm, x cm, and 12 cm joining to form right triangle at the centre
12 inches
15 inches
108 inches
144 inches
Answer:
where is the figure? upload the fig too
Answer:
15
Step-by-step explanation:
9*9+12*12=225
12*12=144
15*15=225
108*108=11664
144*144=20736
A square patio has an area of 107 square feet. How long is each side of the patio to the nearest tenth?
Answer:
Answer 26.35 rounded to 30
Step-by-step explanation:
Caroline's car used 16 gallons to travel 544 miles. How far can she travel on 9 gallons?
Answer:306 miles
Step-by-step explanation:
Can you please answer ASAP I need the answer
Answer:
I think x=8
Step-by-step explanation:
5(x+7)+15=90
90 because it's a 90 degree angle
5x+35+15=90
5x+50=90
5x=40
x=8
i will mark you as brainliest please help!!
Answer:
y=x
Step-by-step explanation:
y1 is -4 and x1 is -4 so I think that's the amswer
Plz help I’ll give brainliest
Answer:
b
Step-by-step explanation:
Can you explain pls
Answer:
d
Step-by-step explanation:
If you're solving for a, you'll want to isolate it on one side of the equals sign. When doing this, you have to add q to the left side so it equals zero; and whatever you do to the right, you do the left so (3/4a=k+q). After this, you want to use the same logic to get rid of of the 3/4 on the left side. Since the opposite of 3/4 is 4/3, multiply (3/4)x(4/3) instead of (3/4)/(3/4) to make it easier. Since you did that to the left side, you should do it to the right (a=4/3(k+q)). Sorry for my bad handwriting.
4.2.32
Richard and Teo have a combined age of 41. Richard is 5 years older than twice Teo's age. How old are Richard and Teo?
Richard is years did, and Teo is years old.
Type whole numbers.)
Answer:
Step-by-step explanation:
Let R = Richard, T = Teo.
Richard and Teo have a combined age of 41. This means that if you add their ages together you get 41:
R + T = 41
We are also told Richard is 5 years older than twice Teo's age:
R = 2T + 5
You can substitute " R " into R + T = 41
R + T = 41
2T + 5 + T = 41
3T + 5 = 41
Subtract 5 from both sides
3T = 41 - 5
3T = 36
Divide both sides by 3 to find T.
T = 36/3 = 12
We know that R + T = 41, so
R = 41 - T
R = 41 - 12
R = 29
Answer:
Richard is 29 and Teo is 12
Step-by-step explanation:
let Teo's age be n then Richard is 2n + 5 ( 5 more than twice Teo's age )
Thus their combined ages are
n + 2n + 5 = 41 , that is
3n + 5 = 41 ( subtract 5 from both sides )
3n = 36 ( divide both sides by 3 )
n = 12
Then
Teo is 12 years old and Richard is 2(12) + 5 = 24 + 5 = 29 years old
The number 4 is an upper bound for the set of roots of this polynomial function. f(x)=3x^4-5x^3-5x^2+5x+2
A.true
B.false
True the no. 4 is an upper bound for the set of roots for the given polynomial.The roots can be real, imaginary or complex.
How to determine degree of a polynomial ?To determine the degree of a polynomial just observe the highest power of the given variable.
According to the given question
A polynomial is given
f(x) = 3x⁴ - 5x³ - 5x² + 5x +2
Here we can observe that it is a polynomial in of degree 4.
We know that a polynomial of degree 'n' has n no. of roots so obviously a polynomial of degree 4 has 4 roots.
Learn more about polynomials here :
https://brainly.com/question/15465256
#SPJ2
f(x)=(-3x+2) and g(x)=(2x^2-5x-1)
Answer: -6x² + 15x + 5
Step-by-step explanation:
To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.
Step 1: f(x) = -3(2x² - 5x - 1) + 2
Step 2: Apply the distributive property
-3(2x²) + -3(-5x) + -3(-1)
-6x² + 15x + 3
Step 3: Simplify
f(x) = -6x² + 15x + 3 + 2
f(x) = -6x² + 15x + 5
A survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a
video game console, and 50 brought neither a microwave nor a game console. A survey participant is randomly
selected. Let M be the event that the participant brought a microwave and let C be the event that the participant
brought a video game console. Organize these events in a two-way table. What is the probability that the participant
brought both a microwave and a console, P(M and C)?
0.65
0.71
0.76
0.90
Answer:
The answer is B. 0.71
Step-by-step explanation:
The probability that the participant brought both a microwave and a console is 0.65.
Since a survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a video game console, and 50 brought neither a microwave nor a game console, to determine what is the probability that the participant brought both a microwave and a console the following calculation must be performed:
500 = 425 1 = X 425/500 = X 0.85 = X 380/500 = X 0.76 = X 0.85 x 0.76 = X 0.646 = X
Therefore, the probability that the participant brought both a microwave and a console is 0.65.
Learn more about probability in https://brainly.com/question/14393430
-4( -3 )+ (6-2)/64 = ?
Answer:
12.0625
Step-by-step explanation:
Im not sure but im pretty sure it's correct
12.06 or 193/16 in fraction form I believe. Sorry if it’s wrong.
What is the diagonal length of the iPad?
Answer:
9.2 inches
Step-by-step explanation:
7^2+6^2=C^2
49+36=C^2
85+C^2
√85=√C^2
9.2 in =C
^2 are exponents
Is this a geometric sequence? 100,50,10,5, 1,...
Answer:
No
Step-by-step explanation:
Solve the equation 3x + 4y = 16 for x.
O A x V 16
B. x=3(16-4)
O c. x = 16 - 4y
O D. x. 18 AV
3x-4y=16
add 4y to both sides
3x=4y+16
divide both sides by 3
x=(4y+16)/3
Please help asap!! Pretty simple if you understand I guess lol
Answer:
Step-by-step explanation:
the answer is 52
Answer:
angle z = 52
Step-by-step explanation:
solve for t
t+58=2t-12
t+70=2t
70=t
plug in the value of t in t+58
(70)+58
=128
note that angle y and z make supplementary angles, so
180-128
=52
If window washers can wash 15 windows in 18 minutes, how long will it take them to wash 10,00
Answer:
1200
Step-by-step explanation:
15/18 * 1000/x
x = 1200
Answer:
1200 minute / 20 hour
Step-by-step explanation:
[tex]1000 \times 18 = 18000[/tex]
[tex]18000 \div 15 = 1200[/tex]
In its first year of operation, Big Lake Camp had 40 campers. This year’s attendance was 180% of the first year’s. How many campers participated this year?
32
58
64
72
Answer:
72 campers participated this year
Step-by-step explanation:
Percentages
To determine x% of y, we must calculate x*y/100.
The number of campers that participated in Big Lake Camp during its first year was 40. We now want to know the number of campers that participated this year, if the attendance was 180% of the first year's.
The new attendance is calculated as follows:
40 * 180 / 100 = 72
72 campers participated this year
Answer:
72
Step-by-step explanation:
Class 6 are going on a trip to a windmill.
The trip costs £3.70 each and there are 26 students in 8A. How much money should be collected?
у
4
3
2
1
-5 -4 -3 -2 -1 0
1
2 3
4
5
.
-2
.
4
Which point can Audrey remove?
Choose all that apply.
A (5,-2)
B (-1,3)
C (2, -1)
D (-1, -1)
Answer:
whats that.............
(Random question)
Guys I have 2 doubts
1.If anything is possible, is it possible for anything to be impossible?
2. If you enjoy wasting time, is that time really wasted?
Can you answer it??
Only answer if you can answer it
(well it says tht these two are unanswerable questions)
Step-by-step explanation:
to be honest in my opinion
1.)the impossible makes things possible nothing is possible untill it goes through impossible (simply implying the impossible makes things possible)e.g when you undergo anything hard you learn to not give up making that thing possible in the end
2.)one should not enjoy wasting but should enjoy making and building up time for fun and important things in life like hanging out with your family and friends that's a result of making time for enjoyment instead of wasting it lol
Yuuki kun hopes he was helpful^^
Answer:
if anything was possible that it WOULD be possible for the unpossible to be possible just confused myself
Step-by-step explanation:
Which of these problem situations could best be modeled by the equation below? 52(18) + x = 1200 Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200. Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200. Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200. Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.
Answer:
a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.
Step-by-step explanation:
The model equation is given as:
52(18) + x = 1200
a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.
52($18) + x = $1200
52(18) + x = $1200
Option a is correct
b) Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200.
x = weekly bonus, hence, we have the equation:
$18 + (x)52 = $1200
Option b is wrong
c) Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200.
This is represented as:
$52 + $18(x) = $1200
Option c is wrong
d) Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.
This is represented as :
$52+ $x + $18 = $1200
Option d is wrong.
Therefore, the correct statement that modelled the equation is option a
1+2x6+7= -13
where do i have to put the parenthesis so its correct
Answer:
you have to but it back 2 times
Step-by-step explanation:
ir is because it should be back 2 rimes
This year, there were 25% fewer sunny days than last year. That’s my question.
If there were 25% fewer sunny days this year than last year, then there were 25% more sunny days last year than this year and the number of sunny days in the coming year is unknown.
Helpppppppppppppppppppppp
will 20,40,30 form a right triangle
Answer:
Yes
Step-by-step explanation:
Because it is equal to 90
Answer:
accutally the answer is no i had the same thing
Step-by-step explanation:
Jen bought 5 CDs for $57.50. What was the unit rate?
Jen bought 5 CDs for $57.50. What was the unit rate?
The given price for five CD's is $57.50. You're being asked to find the unit rate, also known as unit price, which is the cost of one CD.
To find the unit rate of an item, you need to divide the price by the quantity.
[tex]\text{Unit Rate} = \frac{price}{quantity}[/tex]
The first step is to substitute the given amounts into the above formula.
[tex]\text{Unit Rate} = \frac{\$57.50}{5}[/tex]
Now, all you need to do is divide.
[tex]\text{Unit Rate} = \frac{\$57.50}{5} \rightarrow \$11.50[/tex]
The unit rate is $11.50 per CD.
Answer:
The unit rate is $11.50 per CD.
Step-by-step explanation:
Ok, I made a mistake on my last question, but this time I have the right one. Solve v, 5/v=2/7.25
Answer:
[tex]v=\frac{145}{8}[/tex]
Step-by-step explanation:
[tex]\frac{5}{v}=\frac{2}{7.25}[/tex]
[tex]\frac{5}{v}=\frac{2}{\frac{725}{100}}[/tex]
[tex]v=\frac{2}{\frac{5^2*29}{2^2*5^2}}[/tex]
[tex]v=\frac{145}{8}[/tex]
what is the equation of the line shown?
what is the equation of a parallel line with a y-intercept of -1?
Answer:
y = -⅓x + 1.
y = -⅓ - 1
Step-by-step explanation:
The equation of the line shown can be expressed in slope-intercept form as [tex] y = mx + b [/tex].
b = y-intercept, which is where the line intercepts the y-axis.
The line intercepts the y-axis at 1. Therefore b = 1.
m = slope = rise/run = [tex] {y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{3 - 0} = \frac{-1}{3} = -\frac{1}{3} [/tex].
Substitute b = 1 and m = -⅓ into y = mx + b to get the equation of the line shown. Thus, the equation would be:
y = -⅓x + 1.
The equation of a line with y-intercept (b) of -1 that is parallel to the line shown, would have the same slope as the line shown but different y-intercept.
Thus, the slope of the line shown is m = -⅓, this would also be the slope of the line parallel to it.
Therefore, substitute m = -⅓ and b = -1 into y = mx + b.
y = -⅓x + (-1)
y = -⅓ - 1
The equation of the line with y-intercept big -1 that is parallel to the line shown on the graph, is y = -⅓ - 1
The number of pupils in a school increases by 15% every year. If there are 1058 pupils this year, what was the enrollment last year?
Hi there
I think I maybe able to help.
Here is my answer:
996
Hope this helps