Answer:
R = 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
= 5
Step-by-step explanation:
1. Add 8 to both sides of the equation
2 . Simplify
3 . Subtract 4 from both sides of the equation
4 . Simplify ( combine like terms )
5 . Divide both sides of the equation by the same term
6 . Simplify
If cos(x) = Negative one-fourth and tan(x) < 0, what is sin(2x) ? Negative StartFraction StartRoot 15 EndRoot Over 4 EndFraction Negative StartFraction StartRoot 15 EndRoot Over 8 EndFraction StartFraction StartRoot 15 EndRoot Over 8 EndFraction StartFraction StartRoot 15 EndRoot Over 4 EndFraction
The value of sin(2x) is [tex]\sin(2x) = - \frac{\sqrt{15}}{8}[/tex]
How to determine the value of sin(2x)The cosine ratio is given as:
[tex]\cos(x) = -\frac 14[/tex]
Calculate sine(x) using the following identity equation
[tex]\sin^2(x) + \cos^2(x) = 1[/tex]
So we have:
[tex]\sin^2(x) + (1/4)^2 = 1[/tex]
[tex]\sin^2(x) + 1/16= 1[/tex]
Subtract 1/16 from both sides
[tex]\sin^2(x) = 15/16[/tex]
Take the square root of both sides
[tex]\sin(x) = \pm \sqrt{15/16[/tex]
Given that
tan(x) < 0
It means that:
sin(x) < 0
So, we have:
[tex]\sin(x) = -\sqrt{15/16[/tex]
Simplify
[tex]\sin(x) = \sqrt{15}/4[/tex]
sin(2x) is then calculated as:
[tex]\sin(2x) = 2\sin(x)\cos(x)[/tex]
So, we have:
[tex]\sin(2x) = -2 * \frac{\sqrt{15}}{4} * \frac 14[/tex]
This gives
[tex]\sin(2x) = - \frac{\sqrt{15}}{8}[/tex]
Read more about trigonometry at:
https://brainly.com/question/8120556
Answer:
B
Step-by-step explanation:
on Edge
8(12+a) I'm Having trouble with this
Answer:
8a+96
Step-by-step explanation:
8(12+a)
= 96+8a
Answer:
8a+96 or a+12
Step-by-step explanation:
Distribute
PLEASE HELP QUICK!!!!!! WILL GIVE BRAINIEST!!!!!!!
Use the distribution property to expand 7(8x - 2y) - 5
7(8x - 2y) - 5 = 56x - 14y - 5 [multiply the expression in the parentheses by 7 and then subtract 5]
!!help please!!
Suppose a publishing company estimates that its monthly cost is C ( x ) = 600x^2 + 300x C(x)=600x^2 +300x and its monthly revenue is R ( x ) = − 0.4 x 3 + 700x^2 − 60 0 x + 500 R(x)=−0.4x^3 +700x^2 −600x+500, where x is in thousands of books sold. The profit is the difference between the revenue and the cost. What is the profit function, P(x)?
(4). Simplifying polynomials, help pls:) brainliest involved
Answer:
Explanation:
To simplify a polynomial, we have to do two things: 1) combine like terms, and 2) rearrange the terms so that they're written in descending order of exponent.
First, we combine like terms, which requires us to identify the terms that can be added or subtracted from each other. Like terms always have the same variable (with the same exponent) attached to them. For example, you can add 1 "x-squared" to 2 "x-squareds" and get 3 "x-squareds", but 1 "x-squared" plus an "x" can't be combined because they're not like terms.
Let's identify some like terms below.
f(x)=−4x+3x2−7+9x−12x2−5x4
Here you can see that -4x and 9x are like terms. When we combine (add) -4x and 9x, we get 5x. So let's write 5x instead:
f(x)=5x+3x2−7−12x2−5x4
Let's do the same thing with the x-squared terms:
f(x)=5x+3x2−7−12x2−5x4
f(x)=5x−9x2−7−5x4
Now there are no like terms left. Our last step is to organize the terms so that x is written in descending power:
f(x)=−5x4−9x2+5x−7
Step-by-step explanation:
The value of 34 + 5 ⋅ 5 = ___.
ill give brainlist please answer asap
Addisonand Nolan are reading the same book. At the beginning of the month, Addison was on page 7 and Nolan was on page 47. Addison will read 11 pages per day and Nolan will read 6 pages per day. Let A represent the page of the book that Addison is on at the end of t days into the month, and let N represent the page of the book that Nolan is on at the end of t days into the month. Write an equation for each situation, in terms of t, and determine whether Addison or Nolan is farther along in the book after 4 days.
Answer:
A = 51 pages
N = 71 pages
Nolan will be 20 pages farther along in the book than Addison after 4 days.
Step-by-step explanation:
for Addison if you multiply 11 by 4 you get 44 then you add 7 you get 51
For Nolan if you multiply 6 by 4 you get 24 then you add 47 and you final answer is 71
Please help me answer this!!!
Answer:
NO NO NO NO NO
Step-by-step explanation:
Please help me out Solve for x and y
Answer:
\sqrt{81 + x^2} = y
\sqrt{y^2 - 7^2} = x
Step-by-step explanation:
They would be Pythagorean Triples.
a^2 + b^2 = c^2
9^2 + x^2 = y^2
\sqrt{81 + x^2} = y
7^2 + x^2 = y^2
x^2 = y^2 - 7^2
\sqrt{y^2 - 7^2} = x
Plz help me answer this!!!!
Answer:
Dude, it could literally be any number. It doesn't even provide us with a starting number to actually solve the problem with XD
Step-by-step explanation:
The value of 4 : 40.01 is
Answer:
Sunglower I really want to help, but personally I do not know the answer, but if this answer is going percentage wise, the answer would be 1.6004
I don’t know the answer
Answer:
b
Step-by-step explanation:
A skateboarder is moving at 2.00 m/s and increases his velocity at a rate of 1.6 s/s for 6.0 seconds. What is the displacement of the skateboarder during this time?
Select all that apply. Proteins _____. are part of antibodies consist of amino acids contain carbon, hydrogen, oxygen, and nitrogen. are derived from fruits and vegetables
Answer:
parts of antibodiesconsist of amino acids containing carbon, hydrogen, oxygen, and nitrogenStep-by-step explanation:
Antibodies are immune system-related proteins called immunoglobulins.
Proteins are made up of amino acids, which are small organic molecules made up of carbon, hydrogen, nitrogen, and oxygen.
Hope that helps.
i need help like asap ! please someone help
Answer:
should be B
Step-by-step explanation:
Hope it helps
Rhianna has $100 in a savings account that earns 5% interest per year.The interest is not compounded.How much interest will she earn in 1year?Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$5
Step-by-step explanation:
Using the formula given i=prt we can do the following: 100 x 0.05 x 1= $5
Therefore the total interest after one year would be $5
−6x + 5y = 16x + 4y = −10
Answer:
[tex]X=-\frac{5}{52}[/tex]
Step-by-step explanation:
[tex]-6x+5y=16x+4y=-10\\Let\\-6x+5y=-10(1)\\16x+4y=-10(2)\\8(1)+3(2):\\48x+48x+40y+12y=-80-30\\52y=-110\\y= -\frac{110}{52} =-\frac{55}{26}[/tex]
replace y into (1):
[tex]-6x+5(-\frac{55}{26})=-10\\-6x=-10-5(-\frac{55}{26} \\x= -\frac{5}{52}[/tex]
PLEASE MARK ME AS BRAINLIEST
Every hour at work, you are able to ship out the same number of
packages. If in the 2nd hour of work, you have shipped out 12 packages,
and by the 5th hour, you have shipped out 30 packages, what is the rate
at which you ship out packages?
-packages/hour
Answer:
its 6
Step-by-step explanation:
divided 12 with 2 and divided 30 with 5
In a certain country the fines for speeding in a school zone are $160 plus an additional $4 for every mile per hour over the speed limit. A. Write a function to represent the speeding fines
Answer:
T= 160 + 4x
Step-by-step explanation:
Giving the following information:
The $160 fine is a fixed cost. It will remain constant.
The $4 additional fine acts as a variable cost. It varies with the number of miles per hour.
To calculate the total cost (T), we need to use the following formula:
T= 160 + 4x
x= miles per hour exceeding the speed limit.
what is the answer to -3z > -4.5 ?
Answer:
z<1.5
Step-by-step explanation:
I need help with this problem
Answer:
X=13
Step-by-step explanation:
So if ΔABC ≅ ΔDEC, then that means that ∠B is ≅ ∠E. Therefore you would write the equation 3x=6x-39 and solve for X to get 13.
Larissa rolls to number cubes each with the numbers one through six. Larissa adds the numbers that appear on the role. Which 2 sums have an equal chance of occurring?
3 and 11
4 and 7
5 and 8
Or
6 and 9
Answer:
5 and 8 i think
Step-by-step explanation:
sorry if you get it wrong
Two functions are shown below
f(x)=2x+1 g(x)=−72x−5
What is the approximate value of x when f(x) = g(x)?
A.1.3
B.0.5
C.1.8
D.3.1
Calculate the total cost of a toy car which costs $30 plus 8% tax
Answer:
$32.7
I think lol
Step-by-step explanation:
48/5 - 6/25 as a fraction
Answer:
9 9/25
Step-by-step explanation:
234/25 = 9 9/25
Answer:
the answer is 9 9/25
Step-by-step explanation:
find the axis of symmetry and vertex of y=-2x^3+8
Answer:
Vertex:(0,8) Axis of Symmetry: x=0
Step-by-step explanation:
which table represents a linear function ?
Answer:
The first one in the left hand corner. And r u from Georgia it look like yu doing iready?
Step-by-step explanation:
Leslie's sister gave Leslie $120 as her celebration gift to get a job. Leslie put all the money into her bank account. Then she started save $100 each month. a. Write an equation in slope-intercept form (v = mx + b) to describe the relationship number of month and the total amount of savings.
Answer:
v = $100x + $120
Step-by-step explanation:
In this scenario, the fixed amount would be the $120 that Leslie's sister gave her. While $100 would be multiplied by the number of months (x) that have passed by which in this scenario would be our variable since we do not have this information. Lastly, these two values would be added to give us Leslie's total savings (v)
v = $100x + $120
Expand the following:
a)2(x + 3)
Answer:
2x+6Step-by-step explanation:
2(x+3)
=(2)(x+3)
=(2)(x)+(2)(3)
=2x+6