Answer:
448
Step-by-step explanation:
Every 9 hours, mold doubles
Started with 14 spores
In 9 hours, 14+14= 28 spores
In 18 hours, 28+28=56 spores
In 27 hours, 56+56=112 spores
In 36 hours, 112+112=224 spores
In 45 hours, 224+224=448 spores
We want to write an equation for an exponential growth that represents the change in the population of mold.
The answer is: "After 45 hours, there would be__448__spores."
-----------------------------------
We know that a given type of mold doubles every 9 hours.
So if you start with a quantity A of spores, after 9 hours there are:
2*A spores.
After another 9 hours (for a total of 18 hours) the population is:
(2^2)*A spores.
You already could see the pattern.
After x hours, the number of spores will be given by:
p(x) = A*(2)^(x/9)
Now we want to know how many spores are there after 45 hours, if the initial amount is 14 spores.
So we need to replace:
A = 14x = 45Then we want to compute:
p(45) = 14*(2)^(45/9) = 448
From this, we can conclude that after 45 hours there will be 448 spores.
If you want to learn more, you can read:
https://brainly.com/question/12490064
Anne works for a company that manufactures liquid dyes for clothing. She currently wants to mix up some 30%-concentrated red dye. She has 66 gallons of 21%-concentrated red dye, as well as plenty of 51%-concentrated red dye. How many gallons of the 51%-concentrated red dye will Anne need to add to the 21%-concentrated red dye to make a batch with a concentration of 30%?
Answer:
28.29 gallons
Step-by-step explanation:
Given that the available amount of 21%-concentrated red dye= 66 gallons.
Let x gallons of 51%-concentrated red dyes to be mixed with 56 gallons of 21%-concentrated red dye to get 30%-concentrated red dyes.
Total amount of the resulting mixture = 66 + x gallons.
Amount of red dyes in the mixture = (21% of 66) + (51% of x)
To get the resulting mixture as 30%-concentrated red dyes, we have
30% of (66+x) = (21% of 66) + (51% of x)
[tex]\Rightarrow 30(66+x)=21\times66+51x\\ \Rightarrow 30\times 66 +30x= 21\times66+51x\\\Rightarrow 51x-30x=66(30-21)\\\Rightarrow 21x=66\times 9\\\Rightarrow x = 28.29[/tex]
Hence, the amount of 51%-concentration red dyes to be mixed = 28.29 gallons.
On Monday, you run treadmill for 1/2 hour at x miles per hour. On Tuesday, you walk the same distance on the treadmill, at 2 mph slower, and it takes you 3/4 hour.
How many miles did you run on the treadmill on Monday?
Distance = rate * time
Let r = rate
Distance is the same for both runs, so:
.5r = D = 3/4(r - 2)
Distribute (and convert .5):
2/4r = 3/4r - 3/2
Subtract 3/4 r from both sides:
-1/4r = -3/2
Multiply both sides by -4 to get a solitary r:
r = -3 * -4 / 2
r = 3 * 2
r = 6 miles per hour
.5 hours * 6 mi/hr = 3 miles
check:
6 - 2 = 4
3/4 hours * 4 mi/hr = 3 miles
How do you do substitution on the two equations explain pls
Answer:
You simply separate like terms
Does anyone know what f(x)=-5x-1 when f(-7) i need help with this please.
Answer:
f(-7) = 34
Step-by-step explanation:
If f(x) = -5x - 1, then . . .
f(x) = -5x - 1
f(-7) = -5(-7) - 1
= 35 - 1
= 34
. . . because in f(-7), the (-7) is the x-value you're supposed to use to find the value of the function.
Casey bought 3/8 pound of plums and 5/12 pound of bananas. How many pounds of fruit did he buy?
Answer:
19/24 pounds
Step-by-step explanation:
To find the total number of pounds, we should add 3/8 and 5/12. They both have different denominators, so we have to find the least common multiple between 12 and 8. The least common multiple between 12 and 8 is 24. 12 should be multiplied by 2 to get 24 (5 too) and 8 should be multiplied by 3 to get 24 (3 too).
[tex] \frac{3}{8} + \frac{5}{12} [/tex]
[tex] \frac{3 \times 3}{8 \times 3} + \frac{5 \times 2}{12 \times 2} [/tex]
[tex] \frac{9}{24} + \frac{10}{24} [/tex]
[tex] \frac{19}{24} [/tex]
DO NOT ANSWER IF YOU DO NOT KNOW, Will give brainliest, like, comment, and 5 points to answer
Each of these is a pair of equivalent ratios, for each pair explain why they are equivalent. 5:1 and 15:3
10.2 and 25.5
198:1,287 and 2:13
Step-by-step explanation:
5:1 and 15:3 is equivalent because 5 ⋅ 3 = 15, and 1 ⋅ 3 = 3.
10.2 ⋅ 2.5 = 2.5.5 (This wasn't put into a ratio form.)
198:1,287 and 2:13 are equivalent because 198/99 = 2, and 1,287/99 = 13.
Avas heart rate is 65 beats per minute. If avas heart beat 748,800 times, how many full days would have elapsed
Answer:
520 full days.
Step-by-step explanation:
Since I'm not that smart I looked up how many minutes are in a day and got a total of 1440 minutes in a day. Then I took the amount of heart beats and divided it by 1440 so we know how many full days. This is what the equation would look like: 748,800/1440.
I hope this helps:)
Which is 65% of 35?
CLEAR SUBMIT
17.5
22.75
30
53.85
[tex] \red { \orange {\boxed {\boxed{Answer}}}}[/tex]
[tex] = 65\% \times 35[/tex]
[tex] = \frac{65}{100} \times 35[/tex]
[tex] = \frac{65 \times 35}{100} [/tex]
[tex] = \frac{2275}{100} [/tex]
[tex] = 22.75[/tex]
#IfWrongPleaseReport
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TRUE OR FALSE
Angle BAH and angle DAG form linear pair.
Answer:
false
Step-by-step explanation:
-9+n/4 = -11 The slash represents a fraction so (n over four.) Please help thank you!! :)
Answer:
n=-8
Step-by-step explanation:
-9+n/4=-11
n/4=-2
n=-8
Step-by-step explanation:
n/4= -11+9
n/4= -2
n= -2× 4
n= -8
Questions 1-5. Bryan invests $500 in an account earning 4% interest that compounds annually. If he makes no additional deposits or withdrawals, how much will be in the account:
After 15 years?
(round to the hundredths place
Answer:
608.33
Step-by-step explanation:
Which one?
A or B?
Dai is comparing trading cards with his friend Maura
Answer:
a- n= 2x+ 4
b- n= 2x + 4 - 8
which figure shows that M is a midpoint ? select all apply
Answer:
I don't see the figures.
Step-by-step explanation:
what is an equation equivaent to x=-2
x-2=0 answer
Step-by-step explanation:
x=-2 move constant to the left by adding its opposite to both sides
x+2=2-2 the sum of two opposites equals 0
x-2=0
ANSWER X-2=0
Solve for m: 2m + 5-3m = 7
Answer:
m=-2
Step-by-step explanation:
Answer: m = -2
Step-by-step explanation:
Simplify 2m + 5 - 3m to -m+ 5
-m + 5 = 7
Regroup terms.
5 - m = 7
Subtract 5 from both sides.
-m = 7 - 5
Simplify 7 - 5 to 2
-m = 2
Multiply both sides by -1
m = -2
Kayla began a science experiment with 18 grams of an unknown solid. During the experiment, the change in the mass of the solid was – 7 grams. What was the mass of the solid at the end of the experiment? To solve the problem, Edna subtracted 18–( – 7) and came up with an answer of 25 grams. Is Edna correct? Why or why not?
Answer:
No. Enda should have added 18+ (-7) because she needed to add the initial mass and the change in mass.
Step-by-step explanation:
Suppose that in 8 minutes, 32 gallons of water came out of a pipe. What was the rate in gallons per minute?
Answer:
4
Step-by-step explanation:
Answer:
8/32 =4 so 4 per min
Step-by-step explanation:
Sergio bought a new dryer for $337. How much did the dryer cost, rounded to the nearest hundred? NEED HELP PLEASE WILL GIVE BRAINEST
Answer:
300
Step-by-step explanation:
i just know
Answer:
337 rounded to the nearest hundred is 300.
Look at the tens place, it's less than 5 meaning everything after and itself is turned to a 0.
Step-by-step explanation:
Hope this explains it! <3
Find the angle BCD.PLZ!!!!!!!
Answer:
19
Step-by-step explanation:
Firstly find BCE then divide by 2.
)) Stefan estimates the income and expenses for renting
a phone accessory store in the mall. He enters the
amounts in the table shown. Should Stefan rent a
phone accessory store? Explain.
Estimated Income and Expenses
Type Amount Frequency
Sales
$950 Each week
Services
$2,875 Each month
Rent
-54,500 Each month
Travel
-$7.50 Each day
Merchandise -$1,650 Each month
Answer:
Stefan should rent a phone accessory store
Step-by-step explanation:
The given information are;
The total of the estimated income and expenses are given as follows;
Sales
Type [tex]{}[/tex] Amount [tex]{}[/tex] Frequency
Sales [tex]{}[/tex] $ 950 [tex]{}[/tex] Each week
Services [tex]{}[/tex] $2,875 [tex]{}[/tex] Each month
Rent [tex]{}[/tex] -$4,500 [tex]{}[/tex] Each month
Travel [tex]{}[/tex] -$7.50 [tex]{}[/tex] Each day
Merchandise [tex]{}[/tex] -$1,650 [tex]{}[/tex] Each month
Therefore;
Total sale = 4×950 = $3,800
Total services = $2,875
Total income = $3,800 + $2,875 = $6,675
Total expenses = $4,500 + $7.50×30 + $1,650 = $6,375
Total profit = Total income - Total expenses = $6,675 - $6,375 = $300
Therefore, the net profit = $300.
Therefore, given that Stefan is able to make a net profit from his investment, he should rent a phone accessory store.
John won 72 pieces of gum
playing hoops at the
county fair. At school he
gave four to every student
in his math class. He only
has 4 remaining. How
many students are in his
class?
Answer:
Step-by-step explanation:
72 pcs gum - 4 remaining = 68 pcs of gum, 68 divided by 4
Divide 68 (amount of gumballs passed out to every student in Johns math class) by 4 (amount John gave to each student in his math class) = 17 Students in John math class Or 18 students when you include John.
4.49 × 10^–3 in standard form?
Answer:0.0049
Step-by-step explanation: You move the decimal 3 places to the left because its negative which gives you 0.0049
See attachment for math work and answer.
The initial pressure inside a closed container is 200 psi. As the temperature inside the container increases, the pressure increases. If the pressure increases 7.5 psi for each degree Fahrenheit of increased temperature, which equation best represents p, the pressure inside the container after the temperature has increased t degrees?
Answer:
p = (200 + 7.5t) psi
Step-by-step explanation:
The initial pressure inside a closed container is 200 psi. Since the container is closed, the pressure inside it can not be less than 200 psi.
The pressure increases 7.5 psi with a degree rise in temperature (t) = 7.5t
so that;
p = 200 + 7.5t
= (200 + 7.5t) psi
If the temperature increases by [tex]1^{o}[/tex] F, then;
p = 200 + 7.5(1)
= 200 + 7.5
= 207.5 psi
If the temperature increases by [tex]10^{o}[/tex] F, then;
p = 200 + 7.5(10)
= 200 + 75
= 275 psi
-3/4x≤12
what are the steps to solve this??
Answer:
x≥-16
Step-by-step explanation:
-3/4x≤12
Multiply each side by -4/3, remembering to flip the inequality
-4/3 *-3/4x≥ -4/3 *12
x≥-16
Answer: x ≥ -16
Step-by-step explanation:
Divide both sides by -3/4 to get x alone.
When you divide or multiply both sides by a NEGATIVE, the inequality FLIPS.
-3/4x ≤ 12
Divide both sides by -3/4:
x ≥ -16
Hope this helps!
Se reparten 7/9 de pizza entre 4 niños. ¿Que fracción de la pizza le toca a cada uno?
two plus two plus four??
Answer:
8 lol
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Add from left to right 2+2=4 and then add 4+4 and you get 8
which of the following are the coordinates of point A’, the image of point A, after a rotation of 90° about the origin?
Answer: I think it is (-4,0)
Step-by-step explanation:
Because the image shows it directly on the y axis so 90 degrees from that puts it on the x axis and it would have to be in the negative for the way it was reflected. So, the only reasonable answer is (-4,0).
Answer:
B) A rotation of 270° about the origin.
B) (-4, 0)
D) (-2, -5)
C) X' (-2, -6) and Y' (3, -1)
C) 280°
C) 8
B) A rotation of 180° about the origin.
B) Where Q is the center, the image of Q is itself, and for any other point V, QV' = QV and m∠VQV' = x°.
D) X' (6, -2) and Y' (1, 3)
C) (0, -30)
Brainliest plsssssss
To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining.
Which equations could you use to find the price of one tire patch? Select all that apply.
Answer:The answers are
4x + 1.9 = 22.2
22.2 - 4x = 1.9
Answer:
C. 4x + 1.9 = 22.2 and E. 22.2 – 4x = 1.9
Step-by-step explanation:
HELP ASAP I'M GIVING BRAINLIEST
Answer:
the picture is blurry is it only like that for me?