Answer:
2x+x+4=3x+4
Step-by-step explanation:
The population of a colony of bacteria can be modeled by the function P(t) = 19,300(5)t, where t is the elapsed time in hours. What is the inverse function? P–1(t) = 19,300 log5 (t) P–1(t) = log5 (19,300t) P–1(t) = log5 (StartFraction t Over 19,300 EndFraction) P–1(t) = 19,300 (One-fifth) Superscript t
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 :)
Need help really confusing
guys pls pls help WILL mark brainliest
Answer:
Yes, y varies directly with x. The constant of variation is -3 so the function rule would be y= -3x
Step-by-step explanation:
If you look at the y values in the table, they are just the x values but multiplied by -3.
-3 x (-3) = 9
4 x (-3) = -12
6 x (-3) = -18
Direct variation can be shown by y=kx, where k is a constant. The resulting function creates a linear graph.
Round 7.3065 to 2 decimal places
Answer:
im pretty sure its 7.31
if it takes joan 10 weeks to make 2 dollhouses how long will it take her to make 15 dollhouses
Answer:
75 weeks
Step-by-step explanation:
We can write a ratio to solve
10 weeks x weeks
--------------- = ---------------
2 hours 15 houses
Using cross products
10 * 15 = 2 * x
150 = 2x
Divide by 2
150/2 = 2x/2
75 = x
75 weeks
Solve for r.
-13 = r/9 + 8
Answer:
Your answer is going to be r= -189
Step-by-step explanation:
(-13)-8=(r/9+8)-8
9(-21)=(r/9)9
r=-189
Marla uses two copiers to make copies of a one-page newsletter. *Copier R makes 60 copies per minute. *Copier T makes 40 copies per minute. Marla will use both copiers to make a total of 1200 copies of the newsletter. Both copiers will start and end at the same time. How many minutes will it take to make 1200 copies?
Answer:
12 minutes.
Step-by-step explanation:
Marla uses two copiers to make copies of a one-page newsletter. *Copier R makes 60 copies per minute. *Copier T makes 40 copies per minute.
Since both copier start at the same time, let the number of minutes used by both copiers be represented by x
60 × x + 40 × x = 1200 copies
60x + 40x = 1200
100x = 1200
x = 1200/100
x = 12 minutes
Therefore, it will take 12 minutes l to make 1200 copies.
write the sentence as an equation 253 is the product of 69 and g
Answer:
253=69g or 253=69(g)
Step-by-step explanation:
-8x + 3y = 18
-7x – 2y= 25
(-3,-2)
Answer: what is the question though
Step-by-step explanation:
Write an expression for the sentence: Kelly has $120 to spend at the fair and spent $15 on food and wants to play games that cost 4$ each
Smart people can answer
What is the slope of the line that passes |
through (-3, -1) and (-5, 4) ?
Plz I need help
Answer:
-2.5
basically use slope formula which is x2-x1/y2-y1
0.52 divided by 0.0013
Answer:
400
Step-by-step explanation:
What value of x satisfies 6x - 8 = 22 - (x - 5)?
A. 6
B, 5
C. 4
D. 7
Answer:
B
Step-by-step explanation:
6(5)-8=22-(5-5)
30-8=22
22=22
HELP ME ASAP!!!
List the fractions and decimals in order from least to greatest
14: 0.5, 1/5, 0.35, 12/25, 4/5
17: -2.3, -2 4/5, -2.6
18: -6.0, -5/8, -7/12, -0.72
19:1.45, 1 1/2, 1 1/3, 1.2
20: -3.0, 0.5, 0.55, -0.35
21. explain how to compare 0.7 and 5/8
Answer:
14: 1/5, 0.35, 12/25, 0.5, 4/5
17: -2 4/5,-2.6, -2.3
18: -6.0, -0.72, -5/8, -7/12
19: 1.2, 1 1/3, 1.45, 1 1/2
20: -3.0, -0.35, 0.5, 0.55
Fraction Into Decimal:
14: 1/5=0.2, 12/25=0.48, 4/5=0.8
17: -2 4/5= -2.8
18: -5/8= -0.625, -7/12=-0.583 (3 is repeated)
19: 1 1/2= 1.5, 1 1/3= 1.3 (3 is repeated)
Explanation:
To start with, you need to convert the fractions into decimals in order to compare them easier
Then, for the negatives, it might be confusing but the bigger negative will be smaller since it's further away from 0 on a number line
Also, for #19, obviously, the negatives go first but for 0.5 and 0.55, it's kinda hard to compare but for 0.5, just add a zero at the end to extend the decimal and compare it. It would become 0.50 and 0.55 would then clearly be greater.
Hope this helped! Please give me brainliest if it did! You don't have to if you don't want to but I spend a lot of time on this, haha!
Does anyone know how to do this??
Answer:
Step-by-step explanation:
i'll explain how to do 9), it is the same process for the rest
y = 2x - 1
thus the value of 'y' should be the same as the result of '2x - 1'
when x = 5, 2x - 1 = 2(5) - 1 = 9, Thus (x, y) = (5, 9)
when x = 2, 2x - 1 = 2(2) - 1 = 3 Thus (x, y) = (2, 3)
when x = 0, 2x - 1 = 2(0) - 1 = 1 Thus (x, y) = (0, 1)
so in the table we have
x 2x - 1 y (x, y)
5 9 9 (5, 9)
2 3 3 (2, 3)
0 1 1 (0, 2)
we can now plot these values on a graph to look like so
PLEASE HELP!
Solve x2 + 5x = −6.
x = 5 and x = 1
x = −5 and x = −1
x = 3 and x = 2
x = −3 and x = −2
X^2 + 5x = -6
Add 6 to both sides:
X^2 + 5x + 6 = 0
Using the quadratic equation x = -b +/-sqrt(b^2 -4ac )/2a replace the letters with their values and solve for x.
A = 1, b = 5 , c = 6
Solving for x you get -2 and -3
The answer would be x = -3 and x = -2
−8x+9y=-21 -3x+9y=−36
Answer:
x=-3 y=-5
Step-by-step explanation:
big brain
The distance light travels in one year is known as a light year. A light year is equal to 5.87 × 1012 miles. The closest that Earth ever gets to Jupiter is 3.65 × 108 miles. What is a correct representation of the number of years it will take light to travel from Earth to Jupiter at this distance? Check all that apply.
Answer:
[tex]6.21\times 10^{-5}\ \text{light years}[/tex]
Step-by-step explanation:
The distance light travels in one year is known as a light year.
[tex]1\ \text{light year}=5.87\times 10^{12}\ \text{miles}[/tex]
The closest that Earth ever gets to Jupiter is [tex]3.65\times 10^8\ \text{miles}[/tex]
[tex]3.65\times 10^8\ \text{miles}=\dfrac{1}{5.87\times 10^{12}}\times 3.65\times 10^8\ \text{light years}\\\\=6.21\times 10^{-5}\ \text{light years}[/tex]
Hence, the distance it will take light to travel from Earth to Jupiter at this distance is [tex]6.21\times 10^{-5}\ \text{light years}[/tex]
Elimination
- 14x - 18 y = 18
7x + 9y = -9
Answer:
Your answer is: (x , -1 -7x/9 )
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Step-by-step explanation:
Hope this helped : )
Stephen plans to attend community college for two years. His expenses are only $2,000 each year, because his parents are paying the rest. He earned a one-time $900 scholarship. How much will he need to pay for the two years of college from his savings or by working? $1,100 $2,200 $3,100 $4,900
Answer: $3100
Step-by-step explanation:
Stephen plans to attend community college for two years and his expenses are only $2,000 each year. For both years, his expenses will be:
= $2000 × 2
= $4000
Since he earned a one-time $900 scholarship. The amount left to pay will be:
= $4000 - $900
= $3100
Answer:
3100
Step-by-step explanation:
I will mark as brainly please hurry!
Nicholas started a canned-food drive at school. The equation representing this is y = 235x + 15, where x is the number of days, and y is the number of cans collected. Explain how to determine how many days it would take to collect 2600 cans.
Answer:
just divide and add x and y
Step-by-step explanation:
Answer:
11 days
Step-by-step explanation:
2600 = 235x+15
- 1 5 - 15
2585 235x
/235 /235
11 = x
Neil is painting two squares on his bedroom wall. The length of one side of the first square is 12 inches. The second square will be 3 times the size of the first square. What is the area of the second square?
Answer:
36in
Step-by-step explanation:
12 · 3 = 36
Barnes and noble needs to ship 14 mystery books, 12 science-fiction books, and 8 historical-fiction books. The store can only pack one genre of book in each box, and they must pack the same number of books in each box. What is the greatest number of books Barnes and Noble can pack in each box?
Answer: 2
Step-by-step explanation:
Given: 14 mystery books, 12 science-fiction books, and 8 historical-fiction books needs to b shipped.
If they want to pack one genre of book in each box such that they pack same number of books in each box.
Then, the greatest number of books Barnes and Noble can pack in each box
= GCD(14,12,8)
Since, 14 = 2 x 7
12 = 2 x 2 x 3
8 = 2 x 2 x 2
GCD(14,12,8)=2
Hence, the greatest number of books Barnes and Noble can pack in each box = 2
I need help please I don’t understand this
Answer:
cosB = 21/75, tanB = 72/21
Step-by-step explanation:
Here, we can use pythagoras to figure out all sides. 75^2-72^2 = 21^2. So, we have sides with lengths 21, 72, and 75. We are given that sinB = 72/75. The definition of sin is opposite of hypotenuse. So, the opposite of angle B is side CA and the hypotenuse is BA. This allows us to find that BC is the 21 length side. The cos of an angle is adjacent over hypotenuse. In this case, it is BC/BA which is 21/75. similarly, Tan is opposite over adjacent or 72/21. And we are done. Those are the values. TO remember these, use the acronym:
SOH CAH TOA. S refers to sin and OH refers to opposite over hypotenuse. Similarly C is cos, A is adjacent, and H is hypotenuse, and then T is tan, o is opposite and A is adjacent.
The time (X) to complete a standardized exam is approximately normal with a mean of 70 minutes and standard deviation of 10 minutes. How much time should be given to complete the exam so that 80% of the students will complete the exam in the time given?
Answer:
77.88 minutes
Step-by-step explanation:
Given that :
Mean (m) = 70
Standard deviation (s) = 10
For 80% of student to complete the exam. In the given time
Using the formula :
Zscore = (X - mean) / standard deviation
80th percentile = 80/100 = 0.8 has a Zscore = 0.7881
0.7881 = (X - 70) /10
0.7881 * 10 = X - 70
7.881 = X - 70
7.881 + 70 = X
77.881 = X
Hence, 77.88 minutes should be given
Twelve Divided by the sum of a number and five
determine which postulate or theorem can be used to prove that
Answer:
ASA
Step-by-step explanation:
Use the bar model to add these fractions
Answer:
I don't understand the question but 5 would be close to 0 10 would be beside 5 15 will be beside 10 20 will be close to 15 30 will be next to 60
Help me please I need to answer this
how are you supposed to multiply fraction?