Answer:
Step-by-step explanation:
$37,500
1500 times 25.
a. dashed line, shade below
b. dashed line, shaded above
c. solid line, shade above
d. solid line, shade below
Answer:
the answer is A
Step-by-step explanation:
Evaluate the function rule for the given value y=12•3x for x=-2
Answer:
-72
Step-by-step explanation:
We just have to plug in -2 for x so the answer is 12 * 3 * (-2) = -72.
What is slope of line f?
=========================================================
Explanation:
We have three points marked on this diagonal line. Each point has integer or whole number coordinates. I find it is easiest to start with the y intercept, which in this case, is the point (0,0). This is the origin.
From the origin, move 2 units up and 5 units to the right to arrive at the next neighboring point (5,2).
This shows that,
slope = rise/run = 2/5
The rise indicates how much we have gone up or down. The run is the amount you move to the right. If the rise is negative, then you have gone downhill. By "downhill", I mean when the graph is read from left to right.
-------
Optionally you can use the slope formula
m = (y2-y1)/(x2-x1)
with any two points you want from the graph.
What does csc x cot x (1-cos^2 x) equal
Answer:
Step-by-step explanation:
Please answer this correctly
Answer:
80%
Step-by-step explanation:
The numbers 5 or even are 4, 5, 6, and 8.
4 numbers out of 5.
4/5 = 0.8
Convert to percentage.
0.8 × 100 = 80
P(5 or even) = 80%
Answer:
80% chance
Step-by-step explanation:
There are 4 numbers that fit the rule, 4, 5, 6, and 8. There is a 4/5 chance spinning one of those numbers or 80% chance.
Mary is 5 feet tall and Alice is 1.6 meters tall. Who is taller? By how many inches?
Answer:
Alice
Step-by-step explanation:
5 feet is approximately 1.5 meters so we can say Alice is taller than Mary by 10cm
Answer:
Mary, by 3 inches.
Step-by-step explanation:
Convert the unit to inches.
5 feet = 60 inches
1.6 meters = 63 inches
63 - 60 = 3
Mary is taller than Alice by 3 inches.
ABCD is a kite.
B
O
y = [?]
A 40°
C
Х
Enter the number
that belongs in
the green box.
D
Answer:
50°
Step-by-step explanation:
ABCD is a kite.
Therefore, AB = BC
[tex]\therefore m\angle BCA= m\angle BAC = 40\degree \\
\because BD \perp AC.. (Diagonals \: of\: kite) \\
\therefore y + 90\degree + m\angle BCA = 180\degree \\
\therefore y + 90\degree + 40\degree = 180\degree \\
\therefore y = 180\degree - 130\degree \\
\huge\red {\boxed {y = 50\degree}} [/tex]
if a^2+b^2+c^2=169. find a, given that b=2√2, 3√c=9.
Answer:
a = ±4√5
Step-by-step explanation:
Solve for c.
3√c = 9
√c = 9/3
√c = 3
c = 3²
c = 9
Put b=2√2 and c=9, solve for a.
a² + (2√2)² + 9² = 169
a² + 8 + 81 = 169
a² = 169 - 81 - 8
a² = 80
a = ±√80
a = ±4√5
In the figure, ABC is a quarter circle and CDEF is a square.
(a) The length of DF is 38 cm. Find the area of the square CDEF.
(b) Find the area of the shaded parts. Give your answer correct to
2 decimal places.
Answer:
a). 722 cm²
b). 412.11 cm²
Step-by-step explanation:
ABC is a quarter circle with radius CE,
Area of a quarter circle = [tex]\frac{1}{4}\pi r^{2}[/tex]
Since CDEF is a square, diagonals CE and FD will be equal.
CE ≅ FD ≅ 38cm
(a). Measure of a side of the square CDEF = [tex]\sqrt{\frac{1}{2} (\text {Diagonal})^2}[/tex]
Side = [tex]\sqrt{\frac{(38)^2}{2} }[/tex]
= 26.87
Area of the square CDEF = (Side)²
= (26.87)²
= 722 cm²
b). Area of the shaded part = Area of the quarter circle - Area of the square
Area of the quarter circle = [tex]\frac{1}{4}\pi (38)^{2}[/tex]
= 1134.11495 cm²
Area of the shaded area = 1134.11495 - 722
= 412.11495 cm²
≈ 412.11 cm²
The U.S. Department of Agriculture guarantees dairy producers that they will receive at least $1.00 per pound of butter they supply to the market. Below is the current monthly demand and supply schedule for wholesale butter (in millions of pounds per month). Wholesale Butter Market
Price (dollars per pound) Quantity of Butter Demanded Quantity of Butter Supplied
(millions of pounds) (millions of pounds)
$0.80 107 63 0
.90 104 71
1.00 101 79
1.10 98 87
1.20 95 95
1.30 92 103
1.40 89 111
1.50 86 119
1.60 83 127
1.70 80 135
1.80 77 143
a. In the butter market, the monthly equilibrium quantity is million pounds and the equilibrium price is $ per pound.
b. What is the monthly surplus created in the wholesale butter market due to the price support (price floor) program? 22 million pounds 79 million pounds Zero 11 million pounds Suppose that a decrease in the cost of feeding cows shifts the supply schedule to the right by 40 million pounds at every price.
Answer:
a. In the butter market, the monthly equilibrium quantity is 95 million pounds and the equilibrium price is $1.2 per pound.
b. The correct option is zero.
c. See the attached excel file for the new supply schedule.
d. The monthly surplus created by the price support program is 18 million pounds given the new supply of butter.
Step-by-step explanation:
Note: This question is not complete. A complete question is therefore provided in the attached Microsoft word file.
a. In the butter market, the monthly equilibrium quantity is million pounds and the equilibrium price is $ per pound.
At equilibrium, quantity demanded must be equal with the quantity supplied.
In this question, equilibrium occurs at the price of $1.20 per pound and quantity of 95 million pounds.
Therefore, in the butter market, the monthly equilibrium quantity is 95 million pounds and the equilibrium price is $1.2 per pound.
b. What is the monthly surplus created in the wholesale butter market due to the price support (price floor) program?
Price floor refers to a government price control on the lowest price that can be charged for a commodity.
It should be noted that for a price floor to be binding, it has to be fixed above the equilibrium price.
Since the price floor of $1 per pound is lower than the equilibrium price of $1.2 per pound, the price floor will therefore not be binding. As a result, the market will still be at the equilibrium point and the monthly surplus created in the wholesale butter market due to the price support (price floor) program will be zero.
Therefore, the correct option is zero.
c. Fill in the new supply schedule given the change in the cost of feeding cows.
Since a decrease in the cost of feeding cows shifts the supply schedule to the right by 40 million pounds at every price, this implies that there will be an increase in supply by 40 million at each price.
Note: Find attached the excel file for the new supply schedule.
d. Given the new supply of butter, what is the monthly surplus of butter created by the price support program?
Since the price floor has been fixed at $1 per pound by the price support program, we can observe that the quantity demanded is 101 million pounds and quantity supplied is 119 million pounds at this price floor of $1. The surplus created is then the difference between the quantity demanded and quantity supplied as follows:
Surplus created = Quantity supplied - Quantity demanded = 119 - 101 = 18 million pounds
Therefore, the monthly surplus created by the price support program is 18 million pounds given the new supply of butter.
function g can be thought of as a translated (shifted) version of f(x)=|x|
Answer:
Step-by-step explanation:
If, for example, we translate the graph of f(x) = |x| 3 spaces to the right, then the equation becomes g(x) = |x - 3|
the intersection of the two legs of the right triangle and the red segment is the _________ of the triangle shown
Answer:
b median
Step-by-step explanation:
Answer:
orthocenter
Step-by-step explanation:
The red segment is an altitude of the triangle, as are the two legs. The intersection point of the altitudes is the orthocenter.
__
This is basically a vocabulary question.
altitude - the perpendicular segment from a vertex to the opposite side (or its extension)median - the segment joining a vertex with the midpoint of the opposite sidecentroid - the point where medians meetorthocenter - the point where altitudes meetType the correct answer in each box. If necessary, use/for the fraction bar(s).
In this triangle, the product of Sin B and tan C is_____, and the product of sin C and tan B is_____.
please view picture at the top
Answer:
1). sinB × tanC = [tex]\frac{c}{a}[/tex]
2). sinC × tanB = [tex]\frac{b}{a}[/tex]
Step-by-step explanation:
From the figure attached,
A right triangle has been given with m∠A = 90°, m(AC) = b, m(AB) = c and m(BC) = a
SinB = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{\text{AC}}{\text{BC}}[/tex]
= [tex]\frac{b}{a}[/tex]
tanB = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{\text{AC}}{\text{AB}}[/tex]
= [tex]\frac{b}{c}[/tex]
SinC = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{\text{AB}}{\text{BC}}[/tex]
= [tex]\frac{c}{a}[/tex]
tanC = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{c}{b}[/tex]
Now sinB × tanC = [tex]\frac{b}{a}\times \frac{c}{b}[/tex]
= [tex]\frac{c}{a}[/tex]
And sinC × tanB = [tex]\frac{c}{a}\times \frac{b}{c}[/tex]
= [tex]\frac{b}{a}[/tex]
how do you get the answer after you have an equation?
Suppose you are managing 16 employees, and you need to form three teams to work on different projects. Assume that all employees will work on a team, and that each employee has the same qualifications/skills so that everyone has the same probability of getting choosen. In how many different ways can the teams be chosen so taht the number of employees on each project are as follows:
a. 5
b. 1
c. 10
Answer:
4380 ways
Step-by-step explanation:
We have to form 3 project of 16 employees, they tell us that the first project must have 5 employees, therefore we must find the number of combinations to choose 5 of 16 (16C5)
We have nCr = n! / (R! * (N-r)!)
replacing we have:
1st project:
16C5 = 16! / (5! * (16-5)!) = 4368 combinations
Now in the second project we must choose 1 employee, but not 16 but 11 available, therefore it would be to find the number of combinations to choose 1 of 11 (11C1)
2nd project:
11C1 = 11! / (1! * (11-1)!) = 11 combinations
For the third project we must choose 10 employees, but since we only have 10 available, we can only do a combination of this, since 10C10 = 1, therefore:
3rd project: 1 combination
The total number of combinations fro selecting 16 employees for each project would be:
4368 + 11 + 1 = 4380 combinations, that is, there are 4380 different ways of forming projects with the given conditions.
C equals 2 pi r; Cequals62.8 (Circumference of a circle)
Answer:
about 10
Step-by-step explanation:
62.8 = 2 pi r/2
62.8/2 = pi r
31.4/pi = pi r/pi
about 10 = r
What is the value for ƒ(x) =
Answer:
9
Step-by-step explanation:
Put x as 1/2 and evaluate.
3^(2(½) + 1)
3^(1+1)
3²
= 9
Find m∠1, m∠2, and m∠4 if m∠3=43°27’.
Answer:
m∠1 = 43°27'
m∠2 = 136°73'
m∠4 = 136°73'
Step-by-step explanation:
∠1 = ∠3 because of Vertical Angles Theorem
180 - ∠1 = ∠2 because of Supplementary angles
∠2 = ∠4 because of Vertical Angles Theorem
Suppose you want to accumulate $ 150,000 for your retirement in 30 years. You want
to make a one-time deposit. How much should you deposit into an account with
continuous compounding at an APR of 4.8%? Round your answer to the nearest cent.
Answer:
$61,500
Step-by-step explanation:
$61,500
x
4.8% (.048)
=
$2952 yearly
x
30 years
=
$88,560
+
Initial Deposit of $61,500
=
$150,060
(matching type) given f(x)= x+4 and g(x) = 2x + 1 match the expression to its simplication operation
choose
x+4 / 2x+1
Answer 1
Choose...
f of g
f/g
f - g
f∙g
g/f
f + g
2x+1 / x+4
Answer 2
Choose...
f of g
f/g
f - g
f∙g
g/f
f + g
3x + 5
Answer 3
Choose...
f of g
f/g
f - g
f∙g
g/f
f + g
2x + 5
Answer 4
Choose...
f of g
f/g
f - g
f∙g
g/f
f + g
-x + 3
Answer 5
Choose...
f of g
f/g
f - g
f∙g
g/f
f + g
2x2 + 9x + 12
pa help po
Answer:
1) [tex]h(x) = \frac{f(x)}{g(x)}[/tex], 2) [tex]h(x) = \frac{g(x)}{f(x)}[/tex], 3) [tex]h(x) = f(x) + g(x)[/tex], 4) [tex]h (x) = f [g (x)][/tex], 5) [tex]h(x) = f(x) - g(x)[/tex]
Step-by-step explanation:
1) Let be [tex]f(x) = x + 4[/tex] and [tex]g(x) = 2\cdot x + 1[/tex], if [tex]h (x) = \frac{x+4}{2\cdot x + 1}[/tex], then:
[tex]h(x) = \frac{f(x)}{g(x)}[/tex]
2) Let be [tex]f(x) = x + 4[/tex] and [tex]g(x) = 2\cdot x + 1[/tex], if [tex]h(x) = \frac{2\cdot x + 1}{x+4}[/tex], then:
[tex]h(x) = \frac{g(x)}{f(x)}[/tex]
3) Let be [tex]f(x) = x + 4[/tex] and [tex]g(x) = 2\cdot x + 1[/tex], if [tex]h(x) = 3\cdot x + 5[/tex], then:
[tex]h(x) = 3\cdot x + 5[/tex]
[tex]h (x) = (1 + 2)\cdot x + (4+1)[/tex]
[tex]h(x) = x + 2\cdot x + 4 +1[/tex]
[tex]h(x) = (x+4) + (2\cdot x + 1)[/tex]
[tex]h(x) = f(x) + g(x)[/tex]
4) Let be [tex]f(x) = x + 4[/tex] and [tex]g(x) = 2\cdot x + 1[/tex], if [tex]h(x) = 2\cdot x + 5[/tex], then:
[tex]h(x) = 2\cdot x + 5[/tex]
[tex]h(x) = 2\cdot x + 1 + 4[/tex]
[tex]h(x) = (2\cdot x +1)+4[/tex]
[tex]h (x) = f [g (x)][/tex]
5) Let be [tex]f(x) = x + 4[/tex] and [tex]g(x) = 2\cdot x + 1[/tex], if [tex]h(x) = -x + 3[/tex], then:
[tex]h(x) = -x + 3[/tex]
[tex]h(x) = (1 - 2)\cdot x + 4 - 1[/tex]
[tex]h(x) = x - 2\cdot x + 4 - 1[/tex]
[tex]h(x) = x + 4 - (2\cdot x + 1)[/tex]
[tex]h(x) = f(x) - g(x)[/tex]
Adding and subtracting function if (x)=4x^2+1and g(x)=x^2-5, find (f+g) (x)
Answer:
(f+g)(x) = 5x^2 -4
Step-by-step explanation:
[tex](f+g)(x)=f(x)+g(x)\\\\=(4x^2+1)+(x^2-5)=(4+1)x^2+(1-5)\\\\\boxed{(f+g)(x)=5x^2-4}[/tex]
Bikram spends Rs 5400 every month which is 60% of his monthly income what is his monthly income?
Answer:
324000000000000000000000
Answer:
His monthly income is 9000 Rs
A piggy bank contains pennies, nickels, and dimes. The number of dimes is 15 more than the number of nickels, and there are 140 coins altogether totaling $7.17. Find the number of nickels in the bank.
Answer:
Option D is correct.
There are 34 nickels in the piggy bank.
Step-by-step explanation:
A piggy bank contains pennies, nickels and dimes.
Let the number of pennies be p
Let the number of nickels be n
Let the number of dimes be d
Also, note that 1 penny = $0.01
1 nickel = $0.05
1 dime = $0.10
- The number of dimes is 15 more than the number of nickels.
d = 15 + n
- There are 140 coins altogether totaling $7.17.
p + n + d = 140
0.01p + 0.05n + 0.1d = 7.17
Bringing the 3 equations together
d = 15 + n (eqn 1)
p + n + d = 140 (eqn 2)
0.01p + 0.05n + 0.1d = 7.17 (eqn 3)
Substitute (eqn 1) into (eqn 2)
p + n + d = 140
p + n + (15 + n) = 140
p + 2n + 15 = 140
p = 140 - 15 - 2n = 125 - 2n
p = 125 - 2n (eqn 4)
Substitute (eqn 1) and (eqn 4) into (eqn 3)
0.01p + 0.05n + 0.1d = 7.17
0.01(125 - 2n) + 0.05n + 0.1(15 + n) = 71.7
1.25 - 0.02n + 0.05n + 1.5 + 0.1n = 7.17
0.1n + 0.05n - 0.02n + 1.5 + 1.25 = 7.17
0.13n + 2.75 = 7.17
0.13n = 7.17 - 2.75 = 4.42
0.13n = 4.42
n = (4.42/0.13) = 34
d = 15 + n = 15 + 34 = 49
p = 125 -2n = 125 - (2×34) = 125 - 68 = 57
Hence, there are 57 pennies, 34 nickels and 49 dimes in the piggy bank.
Hope this Helps!!!
ASAP Please! Which of the graphs here represent a function?
Answer:
Hey there!
The top right graph is a function. A function only has one y value for every x value.
Hope this helps :)
4b • 0.5a 2ab 2a2b 2ab2 2a2b2
Answer:
(4b)•(0.5a) = (4•0.5)(a)(b) = 2ab
Step-by-step explanation:
My question is probably obvious but I don't know it. What is the z axis
Answer:
z-Axis. The axis in three-dimensional Cartesian coordinates which is usually oriented vertically. Cylindrical coordinates are defined such that the -axis is the axis about which the azimuth coordinate. is measured.
Step-by-step explanation:
If you transform x2+ y2 = 25 into 4x2+ 4y2 = 25, which option below describes the effect of this transformation on the
radius?
It multiplies the radius by 2
It multiplies the radius by 4
It divides the radius by 4
It divides the radius by 2
Answer:
It divides the radius by 2, which is the last option in your list of possible answers.
Step-by-step explanation:
Recall that the standard equation of a circle of radius R centered at the origin of coordinates is given by:
[tex]x^2+y^2=R^2[/tex]
so when you have the first equation of the circle:
[tex]x^2+y^2=R^2\\x^2+y^2=25\\x^2+y^2=5^2[/tex]
The radius of the circle was 5
Now, when you work with the second equation, we need to divide both sides by 4 in order to get the standard form of the circle and be able to understand what the radius is:
[tex]4x^2+4y^2=25\\x^2+y^2=\frac{25}{4} \\x^2+y^2=(\frac{5}{2})^2[/tex]
So we see that the initial radius 5 is now divided by 2.
List price is 45$ if the sales tax rate is 7% how much is the sales tax in dollars
Answer:
3.15 dollars
Step-by-step explanation:
The sales tax rate is 7% = 0.07
So, we need to multiply the listed price and the sales tax rate.
= 45 * 0.07 = 3.150 (3.15)
Hope this helps and please mark as the brainliest
Find the surface area of the solid shown or described. If necessary, round to the nearest tenth. A.348m^2 B.484m^2 C.180.7m^2 D.262m^2
Answer: 484m²
Step-by-step explanation: This is a question on solid shape.
The surface area of a cone is the same thing as the perimeter of the cone ie, the materials required to construct the cone.
Formula for the surface area of the cone = πrl + πr², ( the circular base )
From.the diagram,
r = 7.1m , l = 14.6m, π = 3.142
Now substitute for those values in.the formula above
SA = πrl + πr²
= 3.142 × 7.1 × 14.6 + 3.142 × 7.1²
= 325.6997 + 158.388
= 484.09
Now to the nearest tenth meter,
SA = 484m²
The length of a rectangular storage room is 5 feet longer than it’s width. If the area of the room is 66 square feet, find the dimension.
Answer: 11 ft × 6 ft
Step-by-step explanation: l = w+5. Substitute that value in A = lw and rewrite the equation.
w(w + 5) = 66
w^2 + 5w - 66 = 0 Factor that.
(w -6)(w + 11) =0. Solve for w.
w -6= 0, w = 6 but discard the other -11 as dimensions of real polygons can't be negative
L = w + 5 so L = 6+5
So L=11