The cosine function has the following property:
\(\cos (x+\pi)=-\cos (x)\text{.}\)In this problem, we have:
\(\cos (x)=\frac{\sqrt[]{3}}{2}\Rightarrow\cos (x+\pi)=-\frac{\sqrt[]{3}}{2}\text{.}\)Answer
\(-\frac{\sqrt[]{3}}{2}\)please help me with this please i need the amswers for today,
The coordinates of each points are:
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
We have,
The coordinates of each point are in an ordered form.
i.e
(x, y)
x is the x-axis value.
y is the y-axis value.
Thus,
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
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z minus 387 is equal to 262 write in varible equation
The variable equation is z=262+387 and the solution being z=649
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here: z minus 387 is equal to 262 write in variable equation
we can construct an equation z-387=262
Simplifying we get z=262+387
z=649
Hence, The variable equation is z=262+387 and the solution being z=649
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A
-6
Find the distance, d, of AB.
A = (-5, 5) B = (5, -5)
-4 -2
f
&
-2
-4
9
N
4
B
d = √|×₂ − ×₁1² + y2 - Y₁|²
d = [?]
Round to the nearest tenth.
Distance
Enter
Answer:
88
Step-by-step explanation:
HELP EASY ALGEBRA 1 QUADRATICS
The profit P, in dollars, of a small business can be modeled by the function P(x) = 0.3x2 + 7x – 40, where x is the number of units sold. How many units need to be sold for the business to make a profit of $60?
The two number of units need to be sold for the business to make a profit of $60 is A = 10 units
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
y = 0.3x² + 7x - 40
At profit of $ 60 , y = 60
60 = 0.3x² + 7x - 40
Subtracting 60 on both sides , we get
0.3x² + 7x - 100 = 0
Multiply by 10 , we get
3x² + 70x - 1000 = 0
And , roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
On simplifying , we get
x = [ -70 ± √ ( 70 )² - 4 ( 3 ) ( -1000 ) ] / 2 ( 3 )
x = [ -70 ± √ ( 4900 + 12000 ) ] / 6
x = ( -70 ± √16900 ) / 6
On simplifying the equation , we get
x = ( -70 ± 130 ) / 6
x = 10 or x = -100/3
The number of units cannot be negative , so x = 10 units
Hence , the values of x at the business has a profit of $ 60 is x = 10 units
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Evaluate the expression when c=-4 and x=3.
C- 3x
Answer:
-13
Step-by-step explanation:
-4-3(3)
-4-9 = -13
What is the answer. Shawn pays $1.75 for a school lunch on days when he doesn't bring his own lunch to school. One week he bought a school lunch on Monday and Friday. How much did he spend on school lunches that week?
a
$8.75
b
$5.25
c
$3.50
d
$12.25
Answer:
C. 3.50
Step-by-step explanation:
He bought a lunch two times, so $1.75*2 = 3.50.
Simplify all ratios and keep them as improper fractions
If arc cos = -8/17 and arc sin is negative, then arcsin is _____ and arctan is ______
To find arcsin, we need to use the identity:
sin(arcsin(x)) = x
Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:
sin(arcsin) = -sqrt(1 - (cos)^2)
where (cos)^2 = 8/17
Substituting, we get:
sin(arcsin) = -sqrt(1 - (8/17))
Simplifying, we get:
sin(arcsin) = -sqrt(17/17 - 8/17)
Simplifying further, we get:
sin(arcsin) = -sqrt(9/17)
Therefore, arcsin = -sqrt(9/17)
To find arctan, we need to use the identity:
tan(arctan(x)) = x
Substituting, we get:
tan(arctan) = -8/17
Therefore, arctan = -8/17
So, arcsin is -sqrt(9/17) and arctan is -8/17.
Find f(0) and f(6)
f(x)= x^2+10x+72/x^2-12x+36
Answer:
f(0) = 2 f(5) = 147
Step-by-step explanation:
f(0) = (0²+10·0+72)/(0²-12·0 + 36) Substitute 0 for x and solve.
= 72/36
= 2
f(5) = (5²+10·5+72)/(5²-12·5 + 36) Substitute 5 for x and solve.
= (25 + 50 + 72)/(25 - 60 +36)
= 147/1
= 147
Use the hundredth grids to answer the question.
Which equation is shown by the model?
See picture below
Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).
How to identify the correct equation?To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.
In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.
On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:
1.23 - 0.35 = 0.88 (option B).Learn more about equations in: https://brainly.com/question/29538993
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John has a 30 pounds to spend on sandwiches for his friends. Sandwiches cost 3.35 pounds. How many sandwiches can he buy? How much money does he have left?
Answer with explanation please.
Need help fast plss will give brainliest to who is correct plss help
Answer:
A) (-3,-2)
Step-by-step explanation:
Sam has purchased collision insurance with a $100-deductible clause, and automobile medical payments insurance in the amount of $500. In an accident in which Sam is at fault, Sam incurs injuries for a total expense of $650. Also, $1,400 worth of damage is done to Sam's car. How much does the insurance company pay Sam? Benefit payment?
The amount that the insurance company will pay is $1800.
How to illustrate the information?It should be noted that the insurance company will pay John for the expenses of his injuries and repair of the car.
For the injury, he will get:
= $500 + ($1400 - $100)
= $500 + $2300
= $1800
Therefore, the amount is $1800.
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C. Write an expression with exponents to represent the number of
great-grandchildren Mr. and Mrs. Fisk have.
Answer: Do you have a pic of the question if you do give and give brainliest for it alright
Step-by-step explanation:
f (x)=x^2-2х
f’= (f(x+h) - f(x))/h
If you're asking about the difference quotient alone, you have
f (x) = x ² - 2x
which means
f (x + h) = (x + h)² - 2 (x + h)
so that
(f (x + h) - f (x)) / h = (((x + h)² - 2 (x + h)) - (x ² - 2x)) / h
… = (x ² + 2xh + h ² - 2x - 2h - x ² + 2x) / h
… = (2xh + h ² - 2h) / h
*and you would stop here*.
On the other hand, if you're talking about the derivative (which I believe you are, since your question says f '), take the limit as h approaches 0. In particular, this means h ≠ 0, so there is some cancellation:
(f (x + h) - f (x)) / h = (2xh + h ² - 2h) / h
… = 2x + h - 2
Then as h approaches 0, you're left with
f ' (x) = 2x - 2
Alex has x number of baseball cards Danny has 10 more baseball cards than Alex how many baseball cards does Danny have:write your expression here
Answer:
x+10
Danny has 10 + x baseball cards
HELP PLEASE write an equation of the ellipse with foci at (0 ±10) and vertices at (0 ±11)
The equation of the ellipse with foci at (0 ±10) and vertices at (0 ±11) is \(\frac{x^2}{21} + \frac{y^2}{100} = 1\)
How to determine the ellipse equation?We have:
Vertices = (0, ± 11),
Foci = (0, ± 10)
The vertices and the foci are represented as:
Foci = (0, ± a)
Vertices = (0, ± c)
So, we have:
a = 10
c = 11
The equation of b is calculated using:
b² = c²- a²
So, we have:
b² = 11²- 10²
Evaluate
b² = 21
The equation of the ellipse is then represented as:
\(\frac{x^2}{b^2} + \frac{y^2}{a^2} = 1\)
This gives
\(\frac{x^2}{21} + \frac{y^2}{10^2} = 1\)
\(\frac{x^2}{21} + \frac{y^2}{100} = 1\)
Hence, the equation of the ellipse is \(\frac{x^2}{21} + \frac{y^2}{100} = 1\)
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Answer:
x^2/221+Y^2/121=1
Step-by-step explanation:
If Sally makes $7.25 / hour and works 40 hours plus 8 hours overtime what will she get paid?
Answer:
$348
Step-by-step explanation:
40 + 8 = 48 x 7.25 = 348
Last week Scott ran 43 miles less than James. Scott ran 5 miles. How many miles did James run?
A. 35
B. 44
C. 38
D. 48
Answer:
D) 48
Step-by-step explanation:
Let s = Scott
Let j - James
s = 5
s + 43 = j Substitute 5 for s
5 + 43 = j
48 = j
help with both for brainiest plz
Answer:
1. (3,0)
2. 3 miles
Step-by-step explanation:
1. You can use any online coordinate plane or make one yourself on graph paper) graph each point on the coordinate plane you will see the diagonal line segment that is forming. connect the points on the graph. From that, you can see they are 2 squares away so just count down 2.
2. Again, graph the points on a coordinate plane and you can count each grid box until you count 3 boxes right on the axis and 1 grid= 1 mile 3 grids= 3 miles
2 divide by 3/7 help!!!!!!!!!!!
2 on division by 3/7 yields 14/3.
For the division of two fractions, we need to multiply the first fraction with the reciprocal of the second. Reciprocal of a fraction means interchanging the numerator and denominator ie, the reciprocal of a is 1/a, the reciprocal of p/q = q/p, and so on.
For example, if a/b and c/d are the fractions the a/b ÷ c/d = a/b x d/c =ad/bc.
Implementing the same method to solve this question,
We have 2/1 = 2 as the first and 3/7 as the second fraction. Thus,
2 ÷3/7 =2 x 7/3 = 14/3. So 14/3 is the answer.
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a computer that normally cost 500 dolars was on sale for 200 dollars. what is the percent decrease. please show work for brainlist
Answer:
(100/500) *200 =40%
Step-by-step explanation:
PLEASE PLEWSE PLEASE HELP
Answer:
C) 63°
Step-by-step explanation:
Just add the numbers up together to get your solution
question: what is the relationship between measures of angle 1 and angle 2
pls help need answer fast
Answer:
C.
Step-by-step explanation:
m1 is greater than m2 because the angle is larger
need help with this!
Answer:
a=11
Step-by-step explanation:
Let's solve your equation step-by-step.
√a+5=4
Solve Square Root.
√a+5=4
a+5=42(Square both sides)
a+5=16
a+5−5=16−5(Subtract 5 from both sides)
a=11
Check answers. (Plug them in to make sure they work.)
a=11(Works in original equation)
please help! i need help
photo is not clear send clearer image
the measures of ABD is (0.2x+52) and the measures of CBD is (0.2x+42) find the value of x
The value of x in the triangle is determined as 45.
What is the value of x?The value of x in the triangle is calculated by applying the following formula,.
The measure of angle ABD = 0.2x + 52
The measure of angle CBD = 0.2x + 42
From the diagram, we can set-up the following equations;
x + 16 = 0.2x + 52
Simplify the equation above, by collecting similar terms;
x - 0.2x = 52 - 16
0.8x = 36
Divide both sides of the equation by " 0.8 "
0.8x / 0.8 = 36/0.8
x = 45
Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.
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The translation for the algebraic expression 9 more than a number is
Answer: "9 more than" means add 9 onto a number. ex: 9 is "6 more than 15",
HELP PLEASE AS SOON AS POSSIBLE WILL GIVE U BRAINLIST
Answer:
The table represents a nonlinear function because the rate is not constant.
Step-by-step explanation:
As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.
Hi my name is Leah and I need help with my homework that's on Ken Academy I'm in the 5th grade and I need help with this screenshot Can anybody give me an answer? it's due today!
A rectangle has a length of 2 √6 and width of √6. Find the perimeter of the rectangle