Answer:
(a) (1) The expression dP/dt is the additional profit expected if 1 more dollar is invested in advertising
(b) you should invest more when dP/dt > 0
Step-by-step explanation:
a)dP/dt is the rate of change of profit with respect to advertising dollars. That is, it tells the number of dollars the profit will increase if the advertising dollars increase by 1.
__
b)Assuming that the advertising budget is already accounted for in the profit function, it is useful to spend more on advertising if that makes the profit go up. For dP/dt > 0, you should invest more in advertising.
When dP/dt = 0, no more advertising should be purchased. When dP/dt < 0, the advertising budget should be reduced to increase profit.
What is the equation in slope-intercept form for the line that passes through the points (-6, 4) and (12, 13)
Answer: y= 1/2x + 7
Step-by-step explanation:
Which expression is NOT equal to 729?
3 × 3 × 3 × 3 × 3 × 3
63
9 × 9 × 9
36
Answer:
6^3
Step-by-step explanation:
3 × 3 × 3 × 3 × 3 × 3=729
6^3=216
3 × 3 × 3 × 3 × 3 × 3=729
3^6=729
Hope this helps :)
3 × 3 × 3 × 3 × 3 × 3
63
9 × 9 × 9
36
what does (-x)+(-x)+(-x)=
Answer: -3x
Step-by-step explanation:
(-x)+(-x)=-2x
-2x+(-x)=-3x
-(b-z)-(-2b+z)-(-3b-z)
Step-by-step explanation:
4b + z I think lol I honestly looked it up
What is the value of v?
By isosceles triangle theorem,
Angle ZXY = Angle ZYX
The sum of the angles in a triangle is 180 degrees.
106 + 2 same angles (-106) = 180 (-106) (Subtract 106 by both sides)
2 same angles (/ 2) = 74 (/ 2) (Divide 2 by both sides)
V = 37
Answer:
The value of v is 37°.
Step-by-step explanation:
Given that △ XYZ is an isosceles triangle where both sides have the equal angles. The total angle of △ is 180°. Let ∠ZXY and ∠ZYX be the same angles:
Let ∠ZXY = v, ∠ZYX = v, ∠ XZY = 106°,
∠ZXY + ∠ZYX + ∠XZY = 180°
v + v + 106° = 180°
2v + 106° = 180°
2v = 180° - 106°
2v = 74°
v = 74 ÷ 2
v = 37°
In Brad's golf bag, he has 3 times more white golf balls than yellow golf balls. He has 18 white golf balls in his bag.
Which equation can be used to find how many yellow golf balls, y, Brad has in his bag?
A.
3 + y = 18
B.
18 + y = 3
C.
3y = 18
D.
18y = 3
Answer:
C
Step-by-step explanation:
work out the value of 10²-4³ give ypur answer as a power of 6
Answer: 36
Step-by-step explanation: 10^2 is 100 and 4^3 is 64, and 100-64=36
14
HI=14 and
J
H
=
15
JH=15. Find the length of
I
J
.
IJ.
Answer: IJ = 15
J
15. x
H. I
14
Two congruent Angles —-> Isosceles Triangle
Opposite sides must be congruent.
J
15 15
H. I
14
How long would it take 100,000 grams of
radioactive iodine, which has a half-life of 60 days, to decay to
25,000 grams? Use the formula N = N() where N is the final amount of the substance, N, is the initial amount, and #
represents the number of half-lives.
Answer:
t = 2 half-lives = 2*60 days = 120 days
hope this helps
Step-by-step explanation:
A store pays $79 for a desk and marks the price up by 10%. What is the new price?
Answer: 86.90$
Step-by-step explanation:
10/79=7.90$. 7.90$ + 79.00$= 86.90$
how do I erase this?
Answer:
By deleting the question, or getting it deleted.
Step-by-step explanation:
On the unit circle, where 0 less-than pi, when is tangent theta undefined?
Theta = pi and Theta = 2 pi
sine theta = cosine theta
Pi = StartFraction pi Over 2 EndFraction and Pi = StartFraction 3 pi Over 2 EndFraction
sin theta = StartFraction 1 Over cosine theta EndFraction
Answer:
Option 3
Step-by-step explanation:
As tanθ = sinθ/cosθ, tanθ will have a problem when cosθ goes to zero.
cosθ is at 0 when θ = π/2 and at 3π/2
Answer:
c
Step-by-step explanation:
c
Please help me, thanks
Answer:
D how many months until the total spent is the same for both gyms
Step-by-step explanation:
30m+50 = 10m+100
By setting the cost of gym A equal to gym B we are finding how many months it is when the cost is the same
Answer:
How many months until the total spent is same for both the gyms
Step-by-step explanation:
Then
GYmA=GYm B30m+50=10m+100We may solve it
20m=50m=5/2m=2.5monthsoption D
How long will it take for an investment to triple in value if it earns 81% compounded continuously? Round your answer to three decimals.
A. 0.678 years
B. 0.856 years
C. 1.356 years
D. 1.366 years
The number of years it would take an investment to triple with continuous compounding is 1.356 years.
The formula for calculating future value of an investment when there is continuous compounding is FV = A x [tex]e^{r}[/tex] x N
Where:
A= amount e = 2.7182818 N = number of years r = interest rateFV = future value FV / A = 3N = log(3) / log(e) / 0.81 = 1.356 years
To learn more about future value, please check: https://brainly.com/question/14640433
Ln(x)+ln(x+7)=1
solve this log equation
Two sides of a triangle measure 27 inches and 32 inches.
Which could represent the length of the third side?
Answer options:
5 in
59 in
7 in
62 in
Answer:
62 in
Step-by-step explanation:
the Hypotenuse of a triangle is always longer than the two other sides, 27 + 32 is larger than all but one of the options, 62. Making 62 the answer by process of elimination.
GEOMETRY HOMEWORK HELP! PLS!!
Answer:
x = 37°
Step-by-step explanation:
Given the triangle with two given exterior angles, m ∠107° and m ∠110°:
We can use the exterior angle theorem where it states that the measure of each exterior angle of a triangle is equal to the sum of the measures of the opposite and remote interior angles.
Start by finding the supplement of m ∠110°, that will serve as the other remote interior angle.
The supplement of ∠110° is:
∠110° + y = 180°
Where y = represents the other unknown interior angle.
Subtract ∠110° from both sides:
∠110° - ∠110° + y = 180° - ∠110°
y = 70°
Therefore, the other remote interior angle is y = 70°. Now, we can determine the value of x by establishing the following equation:
107° = x° + 70°
Subtract 70 from both sides:
107° - 70° = x° + 70°- 70°
x = 37°
Find The slope of the line represented by the points in the table (use your notes to get the formula it needed).
4.
Number
of Hours
1
2.
3
4
Cost
($)
$17
$29
$41
$53
Find positive numbers x and y satisfying the equation xy=20 such that the sum 4x+y is as small as possible.
Balamma
Model with Math How many things are
used to make a guitars like the ones in the
picture Draw a bar diagram to show how
you found your answer
Answer:
Where is the questions picture so I know what I am about to answer
Step-by-step explanation:
I need a pic.
A breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. The amounts of flakes in the boxes of this cereal are normally distributed with a mean of 370\,\text{g}370g370, start text, g, end text and a standard deviation of 24\,\text{g}24g24, start text, g, end text. The amounts of raisins are also normally distributed with a mean of 170\,\text{g}170g170, start text, g, end text and a standard deviation of 7\,\text{g}7g7, start text, g, end text.
Let T=T=T, equals the total amount of product in a randomly selected box, and assume that the amounts of flakes and raisins are independent of each other.
Find the probability that the total amount of product is less than 575\,\text{g}575g575, start text, g, end text.
You may round your answer to two decimal places.
P(T<575)\approx
Using the normal distribution, it is found that there is a 0.9192 = 91.92% probability that the total amount of product is less than 575 g.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.When two normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.In this problem, the product is composed by flakes and raisins, and we have that:
[tex]\mu_F = 370, \sigma_F = 24, \mu_R = 170, \sigma_R = 7[/tex]
Hence, the distribution for the total amount of product has mean and standard deviation given by:
[tex]\mu = \mu_F + \mu_R = 370 + 170 = 540[/tex]
[tex]\sigma = \sqrt{\sigma_F^2 + \sigma_R^2} = \sqrt{24^2 + 7^2} = 25[/tex]
The probability that the total amount of product is less than 575 g is the p-value of Z when X = 575, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{575 - 540}{25}[/tex]
[tex]Z = 1.4[/tex]
[tex]Z = 1.4[/tex] has a p-value of 0.9192.
0.9192 = 91.92% probability that the total amount of product is less than 575 g.
A similar problem is given at https://brainly.com/question/22934264
WHAT is the next sequence
Answer: its 21
Step-by-step explanation:
the sequence goes up by 1 each time
Answer:
21
Step-by-step explanation:
a1=1
a2=a1+2
a3=a2+3
a4=a3+4
...
a(n)=a(n-1)+n
what is the estimate of 45.15
Answer:
The estimate would be:
(one of them :)
45 (if your doing the entire number)
0 (if your rounding out of 100)
45.2 (nearest hundredth)
45.0 (nearest tenth)
50 (nearest tens)
Hopefully one of these works for you.
Y = ___x + ____
Find the equation of the line.
Q4). If the ordered pairs (x+1,5) and (4,x+2y) are equal then find x and y.
Step-by-step explanation:
Given that (x+1,5) = (4,x+2y)
⇛ x+1 = 4 and 5 = x+2y
⇛ x = 4-1
⇛ x = 3
now
5 = x+2y
⇛ 5 = 3+2y
⇛ 5-3 = 2y
⇛ 2 = 2y
⇛ 2y = 2
⇛ y = 2/2
⇛ y = 1
Therefore, x = 2 and y = 1
A restaurant has a rectangular patio section that is 8 meters wide by 6 meters long. They want to use fencing to enclose the patio.
How much fencing will they need to go around their new patio?
meters
308
This is the answer
The restaurant will need 28 meters of fencing to enclose their new patio.
Here, we have to calculate the amount of fencing needed to enclose the rectangular patio, we need to find the perimeter of the patio.
The perimeter of a rectangle is the sum of all its sides.
Given:
Width (W) = 8 meters
Length (L) = 6 meters
The formula for the perimeter (P) of a rectangle is:
P = 2 * (Width + Length)
Plug in the values:
P = 2 * (8 meters + 6 meters)
P = 2 * 14 meters
P = 28 meters
So, the restaurant will need 28 meters of fencing to enclose their new patio.
Learn more about perimeter here:
brainly.com/question/397857
#SPJ3
SUBTRACT the given polynomials : (x + 2) - (8x + 4)
A}7x + 2
B}7x - 2
C}-7x - 2
D}-7x + 2
WELP ;-;
The equivalent expression for the subtraction (x + 2) - (8x + 4) is -7x - 2
Option C is correct
The given polynomial expression is:
(x + 2) - (8x + 4)
Expand the expression by removing the parenthesis
x + 2 - 8x - 4
Collect like terms
x - 8x + 2 - 4
-7x - 2
Therefore, the equivalent expression for the subtraction (x + 2) - (8x + 4) is -7x - 2
Learn more on polynomials here:
https://brainly.com/question/16058963
Two decimal for 2597.58333
Answer:
2597. 58000 and this is the ans
HELP LAST ATTEMPT!!!!
Answer:
(6,-2)
Step-by-step explanation:
Help please!! I will mark brainilist and give a lot of points.
This is Pythagorean theorem.
Formula: a^2+b^2=c^2
When I say ^2 I mean to the power of 2.
The question is asking me to solve for a.
Then give me b and c which is b = 17 1/3 and c = 16.
How do I solve for a when b is greater than c? Won’t that give me a negative a? You can’t have a negative a right?
Unless I’m wrong.
Please help my solve this!!!!! :D
Hello there,
I just looked into the question and you are absolutely right whatever you inferred.I think the question might be wrong.The value of c should be greater than b.I guess it will like this:[tex]b = 16 \: \: \: c = 17 \frac{1}{3} [/tex]The values should be like this.I am solving the equation by this:[tex] {a}^{2} = {c}^{2} - {b}^{2} \\ = > {a}^{2} = {(17 \frac{1}{3}) }^{2} - {(16)}^{2} \\ = > {a}^{2} = {( \frac{52}{3} )}^{2} - {(16)}^{2} \\ = > {a}^{2} = ( \frac{52}{3} - 16)( \frac{52}{3} + 16) \\ = > {a}^{2} = ( \frac{52 - 48}{3} )( \frac{52 + 48}{3} ) \\ = > {a}^{2} = \frac{4}{3} \times \frac{100}{3} \\ = > {a}^{2} = \frac{400}{9} \\ = > a = \sqrt{ \frac{400}{9} } \\ = > a = \frac{20}{3} \\ = > a = 6 \frac{2}{3} [/tex]So, the value of a is[tex]a = 6 \frac{2}{3} [/tex]
Hope you could get an idea from it.
Doubt clarification - use comment section.
