Steps to solve
21 + 6x when x = -2
~Substitute
21 + 6(-2)
~Simplify
21 - 12
~Subtract
9
Best of Luck!
Write an equation in slope intercept form for the line described. slope -1/2, passes through (0,5)
Answer:
y=-1/2x+5
Step-by-step explanation:
A scientist creates a colony of bacteria in a dish. This type of
bacteria duplicates itself per minute.
If at 9am the experiment started with a single cell and at 9:13
the dish was half-full, at what time will the dish be full?
Answer: 9:14
Step-by-step explanation: So if he started if 1 bacteria, it becomes 2 bacteria at 9:01, etc. So at 9:13, it is 2^13 and if that is half, that means 2^14 is when it is full so 9:14.
The dish will be full at 9:14 am.
Given, the bacteria duplicates itself per minute.
The experiment started with a single cell at 9 am and at 9:13 am the dish was half full.
So it is clear that after 13 minutes of experiment started the dish was half full.
Now, let here is only 1 bacteria in the dish which is duplicating per minute,so after 1 minute it becomes 2 after that it becomes 4 and after that it becomes 8. Hence it is clear from the example the bacteria doubles itself in powers of her minute. ([tex]2^x[/tex]) here x is the number of minute.
Since after 13 minutes the dish was half full, it means there are [tex]2^{13}[/tex] bacteria in the dish. hence the full dish is [tex]2^{14}[/tex] bacteria. so the bacteria will take 1 more minute for the dish to be full.
Hence at 9:14 am the dish was full.
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The reduce feature on a copy machine is set at 84%. The picture being copied is 4.5 inches wide. What will be the width of yhe reduced picture?
Answer:
The answer is 3.825 inches, the reduced picture will be 84% of the size of the original
Answer:
3.78 inches
Step-by-step explanation:
if the original length is 4.5 and we are making it 84 percent of that size we multiply 4.5 times 84 percent(that is 0.84).
If we type in 4.5 * 0.84 on a calculator the answer comes back as 3.78
so the answer is 3.78 inches
Here is a polygon on a grid. An L shaped figure on a square grid. Draw a scaled copy of this polygon that has a perimeter of 30 units. What is the scale factor? Explain how you know.
Answer: the perimeter of this L shaped figure is 10 units, so scaling it by 3× would make the perimeter 30 units. so the scale factor is 3
The scale factor of the figure is 3 units.
We need to draw a scaled copy of this polygon that has a perimeter of 30 units and also we need to find the scale factor.
What is the scale factor?The scale factor is the ratio of one figure's side length to the other figure's corresponding side length.
If the sides of a polygon are changed by a scale factor 'a' then its perimeter is also changed by the same scale factor.
Now, scale factor = Scaled perimeter/Actual perimeter
From the figure, the perimeter of the figure is 10 units.
So, scale factor = 30/10 =3 units
Therefore, the scale factor of the figure is 3 units.
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The last one Please answer asap im still crying
Answer:
He has 12 ten dollar bills
Step-by-step explanation:
Let t = number of 10 dollar bills
f = number of fifty dollar bills
t+f = 25 since he has 25 bills
solving for f
f = 25 -t
Then we know he has 770 dollars
10t+50f = 770
Using f = 25-t in the above equation
10t + 50 ( 25-t) = 770
Distribute
10t+ 1250 - 50t = 770
Combine like terms
-40t+1250 = 770
subtract 1250 from each side
-40t - 1250-1250 = 770-1250
-40t = -480
divide each side by -40
-40t/-40 = -480/-40
t =12
He has 12 ten dollar bills
Evaluate the expression if x = 3, y = 4 and z = 5. 6y - 2xy
Answer:
the answer is 0
Step-by-step explanation:
6 (4) -2 (3)(4)
24-24=0
What type of number is pie/2 ?
Answer:
its a irrational number
Help please Thanks homework help
Answer:
30
Step-by-step explanation:
3x+x=4x
40+20=60
180-60=120
120/4=30
c.
A train is traveling 1 mile every 75 seconds. If the train continues at this rate, then how
far will it travel in two hours?
Answer:
96 miles.
Step-by-step explanation:
2 hours = 2*60*60 = 7200 seconds.
So the required distance = 7200/75
= 96 miles.
Answer:
96 miles
Step-by-step explanation:
i did this a few months ago (coincidence I think not)
One of the specialties at Dixie’s Cafe is vegetable stew, which simmers over a low flame all day. Since the cooking time is so long, Dixie must decide in the morning how many servings of the stew to cook for that night’s dinner service. Moreover, the stew cooked on a given day cannot be served the next day; it must be thrown away. Vegetable stew is the highest-profit item on the menu at Dixie's Cafe. It earns Dixie a profit of $8. Demand for in-flight meals Cumulative d Probability f(d) Probability F(d) 40 0.01 0.01 41 0.03 0.04 42 0.04 0.0843 0.05 0.1344 0.08 0.2145 0.09 0.346 0.12 0.42 47 0.13 0.55 48 0.17 0.7249 0.12 0.8450 0.08 0.9251 0.03 0.95 52 0.02 0.9753 0.02 0.01 54 0.99 1 serving, whereas all the other items earn a profit of $4. Customers who want stew but find it out of stock will order one of these other items. The ingredients for one serving of stew cost the Cafe $2.50. A) First suppose that the demand for stew on a given evening is normally distributed with a mean of 18 and a variance of 16. How many servings of stew should Dixie prepare in the morning? (Fractional servings are OK). What is the expected cost (ingredients and lost profit) of the optimal solution? B) Now suppose that the demand is distributed as an exponential random variable with mean 18. How many servings should Dixie prepare?
Answer:
what the hell i cant under stand u need to press enter more
Step-by-step explanation:
The graph shows the speed of a ball in free fall for 10 seconds. Which is the constant of proportionality shown in the graph? It's on TTM.
Answer:A
Step-by-step explanation:
The difference between a number x and 17 is 22
Answer:
X-17=22
X=22+17
X=39 this is the answer
Please help me with my homework :(
13. -5/6
14. -7/8
15 -7/10
Step-by-step explanation:
Name: Graphing in the Coordinate Plane
PLS I NEED YOUR HELP
Basically all you have to do is go over (left from the center 5 spots) to -5 and up 3. You do x before y always. Then you put a p there because that is point p. I hope this helps you
People drive, on average, 11,979 miles per year. About how many miles each week is that?
(Type a whole number or decimal rounded to the nearest tenth as needed)
Answer:
230.4
Step-by-step explanation:
11,979 divided by 52 is 230.365384615.
230.365384615 Rounded gets the answer
[tex]0.05x^{2}[/tex]how do i evaluate 0.05
A chemist has 42 grams of aluminum. There are for aluminum. How many milliliters of aluminum does the chemist have?
Answer:
4,200 g. of aluminum
Step-by-step explanation:
42x100=4,200
The 42 grams of aluminum implies that the chemist has 0.06429ml of aluminum
How to determine the amount of aluminum?The mass is given as:
Mass = 42 grams
The density of aluminum is:
Density = 2.7 g/cm³
So, we have:
Volume = Density/Mass
This gives
Volume = 2.7/42
Evaluate
Volume = 0.06429cm³
Convert to ml
Volume = 0.06429ml
Hence, the chemist has 0.06429ml of aluminum
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Add 15,7,.5 step by step please I'll mark u brainlest PLEASE
Answer:
27
Step-by-step explanation:
15+5=20
20+7=27
Answer: 27
Step-by-step explanation:
15+5=20
20+7=27
Find the inverse of the function: f ( x ) = 1 5 x + 4 Group of answer choices f − 1 ( x ) = 4 x − 5 f − 1 ( x ) = − 5 x − 4 f − 1 ( x ) = x − 4
Answer:
D
Step-by-step explanation:
So we have the function:
[tex]f(x)=\frac{1}{5}x+4[/tex]
To find the inverse, simply switch x and f(x), change f(x) to f⁻¹(x), and solve for it. Thus:
[tex]x=\frac{1}{5}f^{-1}(x)+4[/tex]
Subtract 4 from both sides:
[tex]x-4=\frac{1}{5}f^{-1}(x)[/tex]
Multiply both sides by 5:
[tex]f^{-1}(x)=5x-20[/tex]
So that's our inverse :)
So, our answer is D
Answer:
D
Step-by-step explanation:
Jack picks 5 pounds of apples in 8 minutes. Jill picks 6 pounds of apples in 10 minutes. Working together at these rates, how many pounds of apples will they pick in 40 minutes?
the positive square root of 28?
Answer:
is 4 i think
Step-by-step explanation:
Plz help would the answer be -30
Answer:
Yes
Step-by-step explanation:
-27+(-3) can be simplified to -27-3
-27-3= -30
Answer: Yes you are correct. The answer is -30
Explanation:
We are adding 2 negatives. So we effectively add the positive versions of each number, and then make the result negative.
You can think of it in terms of money: you start off 27 dollars in debt and then borrow 3 more dollars to be a total of 27+3 = 30 dollars in debt.
Or you can think of it like you're under the ocean. Writing -27 could mean you're 27 feet below sea level. Adding on -3, ie subtracting 3, would then move you down 3 feet to get to 27+3 = 30 feet below sea level.
#16 What are the coordinates of S?
What is the solution to this equation?
5x + 9 - 3x = 18 + 15
A. x= 3
B. x = 8
C. x = 12
D. x = 21
Answer:
21
Step-by-step explanation:
5x-3x=18+15-9
2x=42 /:2
x=21
PLZZZZZZZZZZZ HELP!!!!!!!!!!!!!!!!
Answer:
A. Graph B
Step-by-step explanation:
The reasoning is because the 2 lines are parallel; therefore, it is impossible for them to overlap or intersect, which is the only way a solution can be found. Parallel lines can never have a solution. Hope this helped!
CAN SOMEONE PLEASE HELP ME ASAP PLEASEEEE!!!
Answer: being similar means they are in the same ratio. so x = 12
Step-by-step explanation:
first put it into a ratio, 4/x =2/6 and answer it like an equation.
4/x=2/6 (cross multiply)
24=2x
x=12
Answer:
x = 12
Step-by-step explanation:
The only full "pair" of sides is 2 on the little polygon and 6 on the big polygon. The relationship between them is 3. 2 × 3 = 6
Now, apply this to the pair we are using: 4 × 3 = x
4 × 3 = 12, so x equals 12.
Consider the differential equationy′′+3y′−10y=0.(a) Find the general solution to this differential equation.(b) Now solve the initial-value problem corresponding to y(0)=2 and y′(0)=10.
Answer:
Y= 2e^(5t)
Step-by-step explanation:
Taking Laplace of the given differential equation:
s^2+3s-10=0
s^2+5s-2s-10=0
s(s+5)-2(s+5) =0
(s-2) (s+5) =0
s=2, s=-5
Hence, the general solution will be:
Y=Ae^(-2t)+ Be^(5t)………………………………(D)
Put t = 0 in equation (D)
Y (0) =A+B
2 =A+B……………………………………… (i)
Now take derivative of (D) with respect to "t", we get:
Y=-2Ae^(-2t)+5Be^(5t) ....................... (E)
Put t = 0 in equation (E) we get:
Y’ (0) = -2A+5B
10 = -2A+5B ……………………………………(ii)
2(i) + (ii) =>
2A+2B=4 .....................(iii)
-2A+5B=10 .................(iv)
Solving (iii) and (iv)
7B=14
B=2
Now put B=2 in (i)
A=2-2
A=0
By putting the values of A and B in equation (D)
Y= 2e^(5t)
A refrigerator sells for $1201. If the sales tax rate is 6.8%, what is the total price that you would pay for the fridge?
The answer is $1282.66
Explanation:
The sales tax rate (in this case 6.8%) is paid as part of selling a product. Also, to find the final price of a product, find the tax rate (percentage) of the price of the product and add this number to the price. The process to know the final price of the fridge is shown below:
1. Determine the 6.8% of $1201
1.1. Write the values
1201 = 100
x = 6.8
1.2. Cross multiply and solve the equation
x100 = 8166
x= 8166 ÷ 100
x = 81.66
2. Add this value to the original price
$1201 + $ 81.66 = $1282.66 (Total price including the sales tax)
The information below represents the costs of Maggy’s home ownership. what does Maggy spend on average per month related to her home? Mortgage $1,309 per month
$2,152.58.
You can add the per month straight up, but you have to divide the annual costs by 12 (12 months in a year). Add all the numbers together, and you get (roughly) 2,152.58.
Please help :) which angles are supplementary
Answer:
The first one BED and DEA. AEC and BEC.
Step-by-step explanation:
Supplementary angles are 2 angles that when added equals 180. Also, if there are no numbers given, the 2 angles should make a straight line when next to each other.