Answer:
cos = 0.89/1.9 = 0.46842105263157895-
Step-by-step explanation:
the value of cos(t) is approximately 0.347.
To find the value of cos(t), we can use the identity:
tan²(t) + 1 = sec²(t)
Since we know the value of tan(t) is approximately 2.7, we can calculate sec(t):
sec²(t) = tan²(t) + 1
sec²(t) = 2.7² + 1
sec²(t) = 7.29 + 1
sec²(t) = 8.29
Now, to find sec(t), we take the square root of both sides:
sec(t) = √(8.29)
sec(t) ≈ 2.877
Finally, we can find cos(t) using the reciprocal identity:
cos(t) = 1 / sec(t)
cos(t) ≈ 1 / 2.877
cos(t) ≈ 0.347
So, the value of cos(t) is approximately 0.347.
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Rashid solves the following system of equations using the elimination method.
6x−5y=−315x+3y=10
What value does he correctly determine for x?
Enter you answer in the box.
42x14.2 what is the answer and steps
Answer:
I hope this helps
A taxi service charges an initial fee plus $1.80
per mile. How far can you travel for $12
?
What information do you need in order to be able to solve the problem?
Answer:
You would need the intial fee in dollars/cents
Expression:
c=initial fee
x=amount of miles
[tex]1.80x+c=12[/tex]
Step-by-step explanation:
You would need the intial fee in dollars/cents
Expression:
c=initial fee
x=amount of miles
[tex]1.80x+c=12[/tex]
4) A company manufactures widgets. The expense function E=8q+12,000 and the
demand function q= -10p +20,000, where p is the price.
a. Express the variable expense V in terms of q, where q is the quantity of widgets
produced
b. Express the total expenso E in terms of p.
c. Determine the Revenue R in terms of p. (Hint: R=p•q).
d. Determine the profit P in terms of p. (Hint: P=R-E).
e. Determine the price that will yield the maximum profit. (Hint: x = -b/2a).
f. Determine the maximum profit.
Revenue, profit and expenses are all integral parts of a company's balance sheet
The expense in terms of q is [tex]\mathbf{E = 8q + 12000}[/tex]The expense in terms of p is [tex]\mathbf{E = -80p + 172000}[/tex]The revenue in terms of p is [tex]\mathbf{R = -10p^2 + 20000p}[/tex]The profit in terms of p [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]The price that yields the maximum profit is $1004The maximum profit is $9908160The expense function is given as:
[tex]\mathbf{E = 8q + 12000}[/tex]
The demand function is given as:
[tex]\mathbf{p = -10p + 20000}[/tex]
(a) The expense in terms of q
This is already given as: [tex]\mathbf{E = 8q + 12000}[/tex]
(b) The expense in terms of p
Substitute -10p + 20000 for p in [tex]\mathbf{E = 8q + 12000}[/tex]
[tex]\mathbf{E = 8(-10p + 20000) + 12000}[/tex]
Expand
[tex]\mathbf{E = -80p + 160000 + 12000}[/tex]
[tex]\mathbf{E = -80p + 172000}[/tex]
(c) The revenue in terms of P
This is calculated as:
[tex]\mathbf{R = p \times q}[/tex]
So, we have:
[tex]\mathbf{R = p \times (-10p + 20000)}[/tex]
Expand
[tex]\mathbf{R = -10p^2 + 20000p}[/tex]
(d) The profit in terms of p
We have:
[tex]\mathbf{R = -10p^2 + 20000p}[/tex] and [tex]\mathbf{E = -80p + 172000}[/tex]
So, the profit P is calculated as:
[tex]\mathbf{P =R - E}[/tex]
This gives
[tex]\mathbf{P =-10p^2 + 20000p +80p - 172000}[/tex]
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
(e) The price that yields maximum profit
In (d), we have:
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
The maximum price is calculated using:
[tex]\mathbf{p = -\frac{b}{2a}}[/tex]
Where:
[tex]\mathbf{b =20080}[/tex]
[tex]\mathbf{a = -10}[/tex]
So, the equation becomes
[tex]\mathbf{p = -\frac{20080}{2 \times -10}}[/tex]
[tex]\mathbf{p = 1004}[/tex]
Hence, the price that yields the maximum profit is $1004
(f) The maximum profit
In (e), we have: [tex]\mathbf{p = 1004}[/tex]
Substitute 1004 for p in [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
[tex]\mathbf{P =-10(1004)^2 + 20080(1004) - 172000}[/tex]
[tex]\mathbf{P =9908160}[/tex]
Hence, the maximum profit is $9908160
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The equation y=−15x+12 is the slope-intercept form of which equation?
5x+13y−4=05 x plus 1 third y minus 4 is equal to 0
−y15+12=xnegative y over 15 plus 12 is equal to x
y−5x=−4y minus 5 x is equal to negative 4
y−15x=−12
I honestly don't know but I think it would come out to be 4/5
y is inversely proportional to x and x = 10 when y = 6 what is the value of the consant? k =
Answer:
60
Step-by-step explanation:
y = k/x ( as y is inversely proportional to x)
yx = k
--> k = yx
k = (6)(10)
k = 60
Enjoy it. I hope it will help you.
Ten less than the product of a number and 45.
Answer:
45*x-10
Step-by-step explanation:
10 less than a number would give you
x - 10
and the product of a number means your multiplying and your multiplying 45 so you would get
45*x
add them together and you get
45*x-10
True or false.The perimeter is the boundary of a shape or an object.
Find the perimeter. Simplify your answer.
we have: [tex]P=(7c-5) +(10c-2) + (7c-5) = 7c-5+10c-2 + 7c-5=24c-12[/tex]
ok done. Thank to me :>
CAN SOMEONE HELP ME PLEASE ASAP!
The answer is P and R
Answer:
Q and R
Step-by-step explanation:
to be similar all sides must have the same scaling factor :
the factor from 2 to 8 is 4.
and the factor from 3 to 12 is also 4.
therefore, these 2 parallelograms are similar.
Solve for x
3-11x=-118
PLEASE HELP WHAT IS X
Answer:
11
Step-by-step explanation:
You would need to -3 on both sides to get:
-11x = -121.
To find x on it's own you would have to divide by -11 on both sides.
You would get a result of x = 11.
Hope this helps :)
choose all the pairs of lines that are parallel.
1. line UV and line VY
2.line UX and line WZ
3.line VY and line WZ
4.line YZ and line WZ
5.line UV and line WZ
6.line XZ and line VW
7.line XY and line YZ
Answer:
2.lineUX and lineVY3.lineVY and lineWZHow to find binary equivalent of a number.
4d=12 solve for the variable
A biologist observed a population of bacteria that grew at a rate expressed by the exponential equation
f(t)=256e(0.0611t)
where t is in minutes. How long will it take the population to reach 5 times its initial value?
Answer: 26.34
Step-by-step explanation:
The bacteria will take 26.3409 minutes.
What is Exponential Equations?Exponents are used in exponential equations, as the name suggests. We are aware that a number's exponent (or base) tells us how many times the original number has been multiplied. But what occurs if a number's power is a variable? An exponential equation is one in which the power is a variable and a part of the equation.
Given f(t) = 256[tex]e^{0.0611t}[/tex]
initial condition when t = 0
f(0) = 256
to find the time when population reach 5 times its initial value
= 256 x 5 = 1280
f(t) = 1280,
to calculate t
1280 = 256[tex]e^{0.0611t}[/tex]
[tex]e^{0.0611t}[/tex] = 5
0.0611t = ln(5)
0.0611t = 1.60943
t = 1.60943/0.0611
t = 26.3409 minutes.
Hence Bacteria will take 26.3409 minutes to reach 5 times.
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Solve for v.
–1 = 4v − 13
v =
Answer:
-1+13=4v
12=4v
v=3
....
.............
Carlisle purchased one-fourth of a pound of candy at the mall. What decimal did he see on the scale?
0.25
0.40
0.20
0.14
A different toy store marks down all
of their toys by 25% in January.
How much does a $50 remote
controlled car cost during January's
sale?
Can you give me the answers for these four? It's passed due and I need to get it turned in ASAP! Please help!
help question in picture
Answer:
E, -1/5
Step-by-step explanation:
The slope of a line, given the coordinates, can be written as m = (y2 - y1) / (x2 - x1), where x and y are points in the coordinates.
Let's look at the coordinates. (-5, 1), the first value in the brackets is always the x-coordinate and the second value is always the y-coordinate. So -5 is x and 1 is y. But we have to points, so -5 is x1 and 1 is y1, and -20 is x2 and 4 is y2.
By substituting
m = (4 - 1) / (-20 - [-5])
m = 3 / (-20 + 5)
m = 3 / -15
m = -1 / 5
[tex]\text{Given that,}~ (x_1,y_1) = (-5,1)~~ \text{and}~~ (x_2, y_2) =(-20,4)\\\\\\\text{Slope,}~ m =\dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{4 - 1}{-20 +5 } =-\dfrac 3{15} = - \dfrac 15[/tex]
Find the value of the variable(s) in each figure explain your reasoning.
Answer:
...............................
A particular variety of bamboo grows for
4
months out of the year at a rate of
3
inches per day. The rest of the year, the bamboo is dormant and does not grow.
A graph of the growth for a
12
-month period is shown.
What is the domain of the function that models this phenomenon?
Using function concepts, it is found that the domain of the function that model this phenomenon is [0, 12].
The domain of a function is the set that contains all possible input values.
In this problem, the function is the height of the bamboo according to the month of the year, hence, the input is the month of the year, which has values between 0 and 12, and thus, the domain of the function that model this phenomenon is [0, 12].
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solve pls brainliest
Answer:
1/4
Step-by-step explanation:
The constant of proportionality is 1/4.
Answer:
b
Step-by-step explanation:
The form of an equation representing proportion is
y = kx ← k is the constant of proportionality
y = [tex]\frac{1}{4}[/tex] x ← is in standard form
with k = [tex]\frac{1}{4}[/tex]
Find the area of the parallelogram. b = 90 ft h = 2 yd The area of the parallelogram is __ft² or __yd².
I ain’t giving n9 answer
96.1 is 39 percent of what? This is 6th grade advanced math btw.
Answer:
9610/39
Step-by-step explanation:
You need to multiply 96.1 by the reciprocal of 39% to get the original number. 96.1x100/39 = 9610/39. This can also be rounded to 246.41
I need help ASAP no links and no tricks the one who answers correctly I will mark brainiest. If I got #5 wrong let me know and tell me the right answer and show your work. Ty for ur help ❤️❤️❤️
Answer:
[tex]y=-\frac{4}{3} x+4[/tex]
Step-by-step explanation:
Slope-intercept form is written in [tex]y=mx+b[/tex]
So, to solve, we must separate y onto one side and make its coefficient one.
[tex]4x+3y=12[/tex]
Subtract 4x on both sides.
[tex]3y=12-4x[/tex]
Divide both sides by the coefficient of [tex]y[/tex], which is 3.
[tex]\frac{3y}{3} =\frac{12-4x}{3}[/tex]
Simplify.
[tex]y=4-\frac{4}{3} x[/tex]
Rewrite this equation into standard form by changing the order of [tex]mx[/tex] and [tex]b[/tex]
[tex]y=-\frac{4}{3} x+4[/tex]
Answer
y=4/5 times 2/3
Step-by-step explanation:
How many times does 5 go into 604 with partial quotient divison
100 POINTS IF U GET THIS RIGHT!
Answer:
y-intercept: 5/3
Step-by-step explanation:
Our equation: y = mx + b
Given equation: y = -8/3 + 5/3
=> Now, let's compare.
=> y = mx + b = y = -8/3 + 5/3
=> we can tell that the y-intercept is b, which is 5/3.
Hoped this helped.
[tex]y = - \dfrac 83 x + \dfrac 53 \\\\\\\text{The above equation is in a form of y = mx +b where b is the y-intercept}\\\\\text{Hence}~ \dfrac 53~ \text{is the y-intercept}[/tex]
What is the inverse of the following statement: “If x is a whole number, then x = 5”?
If x is not a whole number, then x ≠ 5.
If x = 5, then x is a whole number.
If x ≠ 5, then x is not a whole number.
If x is not a whole number, then x = 5.
Find the length of the missing side. Round your answer to the nearest tenth.
Answer:
≈ 31.7 yd
Step-by-step explanation:
let the missing side be x , then using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 9² = 33²
x² + 81 = 1089 ( subtract 81 from both sides )
x² = 1008 ( take square root of both sides )
x = [tex]\sqrt{1008}[/tex] ≈ 31.7 yd ( to the nearest tenth )