Answer:
1/2
Step-by-step explanation:
Slope can be expressed with the formula below
Which is is the difference in y axis over that of x axis
m=( y2 - y1)/(x2 - x1)
( x1 y1) = (-3, -3)
x2 y2)= (-1, - 2)
= ( -2+3)/(-1+3)
m= 1/2
Hence, the slope of the line is 1/2
The graph shows two lines, A and B.
A coordinate plane is shown. Two lines are graphed. Line A has equation y equals negative 3 x plus 15. Line B has equation one half x plus 2.
Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?
1. (4, 4) is the solution to line A but not to line B.
2. (4, 4) is the solution to both lines A and B.
3. (5, 1) is the solution to line B but not to line A.
4. (0, 2) is the solution to both lines A and B.
Answer:
statement 1 is the only correct one
Step-by-step explanation:
Compare using >, <, or =.
11 yards
51 feet
Answer:
11 yards is 33 feet
11 yards < 51 feet
Your company is planning to air a number of television commercials during a television network's presentation of the an awards show. The network is charging your company $1.9 million per 30-second spot. Additional fixed costs (development and personnel costs) amount to $500,000, and the network has agreed to provide a discount of $160,000 x for x television spots.
Required:
Write down the cost function C, marginal cost function C’, and average cost function
This question is incomplete, the complete question is;
Your company is planning to air a number of television commercials during a television network's presentation of the an awards show. The network is charging your company $1.9 million per 30-second spot. Additional fixed costs (development and personnel costs) amount to $500,000, and the network has agreed to provide a discount of $160,000√x for x television spots.
Required:
Write down the cost function C, marginal cost function C’, and average cost function
Answer:
- The the cost function is 500,000 + 1,900,000x - 160,000√x
- the marginal cost function is 1,900,000 - (80000 /√x )
- The average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]
Step-by-step explanation:
Given the data in the question;
cost per spot = $1.9 million
Additional cost = $500,000
discount = $160,000√x
Let C(x) represent the cost ;
Cost x television spot = cost per spot × Number pf spots
Cost x television spot = $1.9 million × x
Cost x television spot = $1,900,000x
Now, the television set total cost will be;
C(x) = television cost + additional cost - discount
C(x) = 500,000 + 1,900,000x - 160,000√x
Therefore, The the cost function is 500,000 + 1,900,000x - 160,000√x
Marginal Cost Function;
Cost function C(x) = 500,000 + 1,900,000x - 160,000√x
we differentiate with respect to x
C'(x) = d/dx( 500,000 + 1,900,000x - 160,000√x )
= d/dx( 500000 ) + 1,900,000d/dx -160,000 d/d( √x )
= 0+ 1,900,000(1) -160,000( 1 / 2√x )
= 1,900,000 - (160,000 / 2√x )
= 1,900,000 - (80000 /√x )
Therefore, the marginal cost function is 1,900,000 - (80000 /√x )
Average cost function;
Average cost function = C(x) / x
we substitute
Average cost function = [500,000 + 1,900,000x - 160,000√x] / x
= [500,000 / x ] + [1,900,000x / x ] - [ 160,000√x / x ]
= [ 500,000 / x ] + 1,900,000 - [ 160,000√x / x ]
= 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]
Therefore, The average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]
State if each sequence is geometric. -5, -21, -37, -53, .... a) yes B) no
Answer:
yes, you just add more -16 between each number
what is (6)^-3×(6)^-3 using law of exponent?
Answer:
6^-6
Step-by-step explanation:
a^m*a^n = a^m+n
Joey's sock drawer is unorganized and contains 7 black dress socks, 3 black ankle socks, 2 brown dress socks, and 4 brown ankle socks. What is the
probability that Joey will blindly reach into his sock drawer and pull out a sock that is brown or a dress sock
Answer:
%37.5
Step-by-step explanation:
Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D
1. Radius = 32/2 = 16 inches
Diameter = 32 inches
Circumference = 3.14 × 32 = 100.48 inches
Area = 3.14 × 256 = 803.84 inches
2. Radius :- 40 / 2 = 20 inches
Diameter = 40 inches
Circumference = 3.14 × 40 = 125.6 inches
Area = 3.14 × 20 × 20 = 1256 inches
3. Radius = 28 / 2 = 14 inches
Diameter = 28 inches
Circumference = 3.14 × 28 = 87.92 inches
Area = 3.14 × 14 × 14 = 615.44 inches
4. Radius = 18/2 = 9 inches
Diameter = 18 inches
Circumference = 3.14 × 18 = 56.52 inches
Area = 3.14 × 9 × 9 = 254.34 inches
5. Radius = 5 inches
Diameter = 5 × 2 = 10 inches
Circumference = 3.14 × 10 = 31.4 inches
Area = 3.14 × 5 × 5 = 78.5 inches
6. Radius = 2 inches
Diameter = 2 × 2 = 4 inches
Circumference = 3.14 × 4 = 12.56 inches
Area = 3.14 × 2 × 2 = 12.56 inches
–––––––––☆–––––––––Answer: Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D
Step-by-step explanation:
1. Radius = 32/2 = 16 inches
Diameter = 32 inches
Circumference = 3.14 × 32 = 100.48 inches
Area = 3.14 × 256 = 803.84 inches
2. Radius :- 40 / 2 = 20 inches
Diameter = 40 inches
Circumference = 3.14 × 40 = 125.6 inches
Area = 3.14 × 20 × 20 = 1256 inches
3. Radius = 28 / 2 = 14 inches
Diameter = 28 inches
Circumference = 3.14 × 28 = 87.92 inches
Area = 3.14 × 14 × 14 = 615.44 inches
4. Radius = 18/2 = 9 inches
Diameter = 18 inches
Circumference = 3.14 × 18 = 56.52 inches
Area = 3.14 × 9 × 9 = 254.34 inches
5. Radius = 5 inches
Diameter = 5 × 2 = 10 inches
Circumference = 3.14 × 10 = 31.4 inches
Area = 3.14 × 5 × 5 = 78.5 inches
6. Radius = 2 inches
Diameter = 2 × 2 = 4 inches
Circumference = 3.14 × 4 = 12.56 inches
Area = 3.14 × 2 × 2 = 12.56 inches
–––––––––☆–––––––––
Which expressions are equivalent to (59 + 3h + 4) - 2?
I think this is the answer
=(3h+61)
What is 150 millimetres in meters ?
Answer: 0.15meters
that the answer
Cameron earned a grade of 73% on his multiple choice math final that had a total of 200 problems. How many problems on the final exam did Cameron get wrong?
Answer:
54
Step-by-step explanation:
Calculation to determine How many problems on the final exam did Cameron get wrong
Wrong Numbers of problems=Total number of problems-(Percentage of grade earned*Total Number of problems)
Let plug in the formula
Wrong Numbers of problems=200-(73%*200)
Wrong Numbers of problems=200-146
Wrong Numbers of problems=54 problems
Therefore the problems on the final exam that Cameron get wrong is 54
Answer:
54
Step-by-step explanation:
ok
Micah buys 2 apples, what is the probability that one of the apples is bad
Answer:
1/2
Step-by-step explanation:
in one try, Micah will either pick 1 good apple or 1 bad apple, so the probability would be 1/2.
Help pretty please !Describe the sequence of transformations that maps Figure A to Figure B.
Answer:
A, Reflection across the y-axis and translation 3 units down
Answer:
A reflection across the y-axis and translation 3 units down
Step-by-step explanation:
You are trying to figure out how many license plates can be created from the digits 0 through 9. The license plate has 6 numbers, and none can be repeated. How many license plates can be created?
Answer:
1
Step-by-step explanation:
Question 4 (1 point) (06.02 LC) Which of these is the algebraic expression for 3 times the sum of 2 and Y
Answer:
3(2+y) is the correct answer
Answer: 3 (2 + y)
Hope this helps!
what shap can you make with these
Answer:
c
Step-by-step explanation:
the three sides flip up and you get the shape of three triangles faced up on a triangle, as in c
find the product of 5/8 by the reciprocalof -3/8
Answer:
-5/3
Step-By-Step-Solution:
Reciprocal of-3/8 = -8/3
Product = 5/8 × -8/3 = -5/3
Hope that this helps!
A cellphone tower casts a shadow 30 feet
long at the same time that a man 6 feet tall
cast a shadow of 2.4 feet. How tall is the
cellphone tower?
Answer:
75ft
Step-by-step explanation:
if the shadow of a 6ft = 2.4ft
then the shadow of x=(30/2.4)×6=75
There are 4 red marbles and 8 blue marbles in a bag. Mark draws a blue marble out of the bag and does not replace. then jake draws another blue marble out of the bag.
Now what are the probabilities of drawing another blue marble?
NEED ANSWER ASAP PLS!!!
Answer:
Probability will be 4 by 6
can someone help me with this
Answer:
x=112b+13
Step-by-step explanation:
idek
Grade 9 math plzz helpp a or b or c or d
Answer:
[tex]g(x) = 3^{x -4}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3^x[/tex]
g(x) = f(x) 4 units left
Required
Find g(x)
When a point is translated 4 units left, the rule is:
[tex]x \to x - 4[/tex]
So, we have:
[tex]g(x) = f(x-4)[/tex]
[tex]f(x-4)[/tex] is calculated as:
[tex]f(x-4) = 3^{x -4}[/tex]
Hence:
[tex]g(x) = 3^{x -4}[/tex]
in. in What is the area of this trapezoid? b2 = 5 in. h = 4 in. 3 in. 2 in. b1 = 10 in.
Answer:
30 square inches
Step-by-step explanation:
The equation for the area of a trapezoid is: (b1 + b2) x h) / 2
(10 + 5) x 4) /2
15 x 4 = 60
60/2 = 30
30 square inches
The value of the correlation coefficient is always in the range
a. 0 to 1 b. 1 to 1 c. 1 to 0
Answer:
-1 to 1
Step-by-step explanation:
The correlation Coefficient gives the degree of relationship between two variables while also giving an hint about the type of relationship between them, (positive or negative). Correlation Coefficient could take any value bwuqwen - 1 and 1. With values closer to - 1 or 1 indicating a strong relationship between the variables, Coefficient of 0 means no relationship and a negative value means negative relationship while a positive value plies a positive relationship.
A person places a bet on the coin toss at the start of the Super Bowl. If the coin comes up HEADS you WIN $100. If the coin comes up TAILS you LOSE $110. What is the person's expected value of making this bet
Answer:
- 5
Step-by-step explanation:
Probability of a coin toss : (H, T)
With probability of 0.5 each
X : ____100 ____ - 110
P(x) :___ 0.5 ____ 0.5
Expected value ; E(X) = ΣX*p(X)
E(X) = (100 * 0.5) + (-110 * 0.5)
E(X) = 50 - 55
E(X) = - 5
Expected value = - 5
Please explain it ASAP
Answer:
sorry but i don't understand the question
Find the volume of the following rectangular pyramid.
10 cm
7 cm
4 cm
Answer:
option third : 93.33 cubic. cm
Step-by-step explanation:
Volume of rectangular prism :-
Given :- length = 7cm, width = 4cm, height = 10cm
[tex]v = \frac{l \times w \times h}{3} \\ = \frac{280}{3} \\ = 93.333[/tex]
assuming the growth rate stays constant at 1.2%, how many doublings would take place in a 500- year period?
9514 1404 393
Answer:
8.6
Step-by-step explanation:
The growth factor per year is 1.012, so in 500 years is ...
1.012^500
The number of doublings is the solution to ...
2^n = 1.012^500
Taking logarithms, we have ...
n·log(2) = 500·log(1.012)
n = 500·log(1.012)/log(2) ≈ 8.6046
About 8.6 doublings will take place in 500 years.
2. Suppose over several years of offering AP Statistics, a high school finds that final exam scores are normally distributed with a mean of 78 and a standard deviation of 6. A. What are the mean, standard deviation, and shape of the distribution of x-bar for n
Answer:
By the Central Limit Theorem, the mean is 78, the standard deviation is [tex]s = \frac{6}{\sqrt{n}}[/tex] and the shape is approximately normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 78 and a standard deviation of 6
This means that [tex]\mu = 78, \sigma = 6[/tex]
Samples of n:
This means that the standard deviation is:
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{6}{\sqrt{n}}[/tex]
What are the mean, standard deviation, and shape of the distribution of x-bar for n?
By the Central Limit Theorem, the mean is 78, the standard deviation is [tex]s = \frac{6}{\sqrt{n}}[/tex] and the shape is approximately normal.
Solve the equation and find the number. The sum of five and three times a number is 83
9514 1404 393
Answer:
26
Step-by-step explanation:
If the number is represented by n, then 3 times the number is 3n. The sum of that and 5 is 83:
5 + 3n = 83
3n = 78 . . . . . . subtract 5
n = 26 . . . . . . . divide by 3
The number is 26.
will give brainliest
Answer:
respuesta 0.2
Step-by-step explanation:
espero que te sirvan ( ꈍᴗꈍ)
leonard is flying kite he is holding the end of the string at distance of 1.2 m above the ground. if the string is 15 m how long and makes an angle of 40 degrees with the horizontal, how high is the kite above the ground?
Answer:
The kite is 10.8 m above the ground.
Step-by-step explanation:
Here we can make a triangle rectangle like the one shown in the graph below, where we want to find the value of the cathetus X, and that plus 1.2m will be the distance between the kite and the ground.
Notice that X is the opposite cathetus to the 40° angle, then:
We can use the relation:
Sin(θ) = (opposite cathetus)/(hypotenuse)
where, in our case, we have:
θ = 40°
hypotenuse = 15m
opposite cathetus = X
Replacing these in the equation, we get:
Sin(40°) = X/15m
Now we can solve this for X.
Sin(40°)*15m = X = 9.6m
And the actual height of the kite is X + 1.2m
Then:
H = 9.6m + 1.2m = 10.8m
The kite is 10.8 m above the ground.