Answer:
[tex]cos(2x)+sin(x)=1-2\,sin^2(x)+sin(x)[/tex]
which agrees with the third option listed.
Step-by-step explanation:
I believe you meant to write the answer with only sin(x).
Use the double angle identity for the cos(2x) as shown below:
[tex]cos(2x) = cos^2(x)- sin^2(x)\\since \\cos^2(x) = 1-sin^2(x)\\then:\\cos(2x) = 1-sin^2(x)- sin^2(x)\\cos(2x)=1 - 2\,sin^2(x)[/tex]
Now we use this identity in the original expression to get:
[tex]cos(2x)+sin(x)=1-2\,sin^2(x)+sin(x)[/tex]
which agrees with the third option listed.
In which quadrant does the point S(-3, -4) lie?
quadrant I
quadrant II
quadrant III
quadrant IV
It would be quadrant III
Answer:
Quadrant 3
Step-by-step explanation:
Quadrant 3: (-, -)
PLEASE HELP ME 20 POINTS
Answer:
500
Step-by-step explanation:
During the summer, 1.3% of the water in the kiddie pool evaporates every day. If the kiddie pool holds 8,000 gallons of water and is not
refilled for 10 days, how many gallons of water will be in the pool? Round your answer to the nearest gallon enter the amount
Answer:
7019 gallonsStep-by-step explanation:
Initial volume of water = 8000 galDaily reduction = 1.3% Time = 10 daysRequired equation:
8000*(1- 0.013)^10 =8000*0.987^10 =7018.7781 ≈ 7019 rounded to the nearest gallonhelp please it’s important!!
Could someone help me with this question?
Answer: thats correct
Step-by-step explanation:
Solve the following equation with rational coefficients
0.8x = 6
y’all really should help me .
Answer:
I think its x=48
Step-by-step explanation:
Answer:
X = 7.5
Step-by-step explanation:
0.8x = 6
x = 6/0.8
x = 7.5
$239 television; 10% discount
Step-by-step explanation:
cost of television-$239
discount-10%
239÷10
Answer:
$215.10
Step-by-step explanation:
I believe this is correct.
Hope this helps!
at the zoo,the ratio of monkeys to gorillas is 5:1
Answer:
thats a statement
Step-by-step explanation:
a bag contains 3 red balls and 1 blue ball. what is the expected number of red balls in the first bag
Answer:
[tex]Expected\ Value = 3[/tex]
Step-by-step explanation:
Given
[tex]Red\ Balls = 3[/tex]
[tex]Blue\ Balls = 1[/tex]
Required
Determine the expected number of red balls
First, we calculate the probability of a red ball
[tex]P(Red\ Ball) = \frac{Red\ Ball}{Total}[/tex]
[tex]P(Red\ Ball) = \frac{3}{3 + 1}[/tex]
[tex]P(Red\ Ball) = \frac{3}{4}[/tex]
[tex]P(Red\ Ball) = 0.75[/tex]
The expected value is then calculated as:
[tex]Expected\ Value = P(Red\ Ball) * Total[/tex]
[tex]Expected\ Value = 0.75 * 4[/tex]
[tex]Expected\ Value = 3[/tex]
Q#2 Pleaseeee answer my guy it’s literally the biggest grade I got and I’m tiredddd
Answer:
Add 3 to both sides.
2x=9+3
simplify 9+3 to 12
2x=12
Divide both sides by 12
x= 12
2
simplify
x=12
First consider the system of equations y= -1/2x + 1 and y = x - 5. Then consider the system of inequalities y > -1/2x + 1 and y < x - 5. When comparing the number of solutions in each of these systems, which statement is true?
A. Both systems have an infinite number of solutions
B. The system of equations has more solutions
C. The system of inequalities has more solutions
D. Both systems have only one solution
Answer:
the answer is C, NOT B
Step-by-step explanation:
The system of inequalities will have more solutions than the system of equations , Option C is the corrrect answer.
What are Inequalities ?Inequality is the relation between two unequal numbers or algebraic expression.
The inequality symbols are less than , greater than , less than equal to, greater than equal to.
It is given in the question that
the system of equations y= -1/2x + 1 and y = x - 5.
the system of inequalities y > -1/2x + 1 and y < x - 5.
x-5 = -1/2 x +1
2x+x=6*2
3x = 12
x = 4
x-5 >-1/2 x +1
x>4
The system of inequalities generally have more solutions and in this case definitely have more solutions than the system of equations.
To know more about inequalities
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Graph a line through (2,-5) and have a slope of -4
im sorry: In order to solve the inequality -x > 8, which of the following steps must be done?
Find mzC.
B
(2x – 12)
(9x – 26)
(4x + 43)
Answer:
m<C = 119°
Step-by-step explanation:
Create an equation to find the value of x.
(9x - 26)° = (2x - 12)° + (4x + 43)° (exterior angle theorem of a ∆)
Solve for x
9x - 26 = 2x - 12 + 4x + 43
Add like terms
9x - 26 = 6x + 31
9x - 6x = 26 + 31
3x = 57
Divide both sides by 3
x = 19
✔️m<C = 4x + 43
Plug in the value of x
m<C = 4(19) + 43
m<C = 76 + 43
m<C = 119°
Fill in the blank with the correct constant of proportionality. Pounds of Bananas Cost ($) 2, 2.50, 3, 3.75, 5, 6.25, 7, 8.75 The constant of proportionality is
Answer:
it will go up 1 dollar now i had to do it in my head
Step-by-step explanation:
mabey if im wrong sorry
Solve this equation 5x -7 = -12
Answer:
The answer is x = -1
Step-by-step explanation:
Answer:
x=-1
Step-by-step explanation:
5x-7=-12
5x=-5
x=-1
it took jake 28 minutes to run 5km last months. this month he ran 5km in 21 minutes. by what percentage had jake improve his running time?
Answer:
25%
Step-by-step explanation:
28-21=7
7/28=×/100
7×100=700
700÷28=25
Answer:
7
Step-by-step explanation:
Okay so, 28-21 =07 right
7 as a percent is 700% and the limit is 100%
so 700%/100%= 7
2 Vishal is training for a race. His goal is to run 5.5 miles over three days. The distances he ran each day are shown in the table.
Answer:
Which table?
Step-by-step explanation:
Answer:
I know this is old but here is the answer bc I had this test
Step-by-step explanation:
1. he ran 5.478 in total
2. he ran 0.022 more than his goal.
Vishal ran a total of 5.478 miles. The distance he ran over the three days is greater than his goal by 0.022 miles.
what is 42/18 written as a mixed number?
Step-by-step explanation: 2 1/3
$899 computer; 20% discount
Answer:
it knocks off $179.80 or the final cost which is $719.20.
Step-by-step explanation:
Answer:
$719.20
Step-by-step explanation:
899*0.2=179.8
899-179.8=719.2
a sixth grade football team has 3 quarterbacks, 4 running backs and 5 wide receivers what is the ratio of wide receivers to the total
Answer: 5.5
Step-by-step explanation:
Ratio
noun
the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
What is the point slope form for (2,0)(4,6)
Answer:
0-y=3/4(x-2)
Step-by-step explanation:
What is the difference between heat and temperature?
How does a thermometer measure temperature?
When, if at all, does heat transfer stop?
Exit Ticket
What type of heat transfer occurs when eggs fry in a pan?
What type of heat transfer occurs when you roast a marshmallow by holding it over a campfire?
What type of food in which convection helps the cooking process? Explain your answer
When you touch a picnic table, your hand gets warmer. Explain how energy conservation applies to this situation
please answer these i give brainliest
Answer:
heat is hot and tempture is all
How do I find slope and y-intercept??? Please help me!!
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
2x
+1 = 7
-Z | -1
= [?]
=
2x
3
Answer: nop
Step-by-step explanation:
Enter the slope of the line through the points (4, 15) and (4, 12). *
Answer:
-3/0 is the slope....or just -3.
Step-by-step explanation:
slope method = m= y2 - y1/ x2 - xm = 12 - 15/ 4 - 4 = -3/0 or just -3 simplified.
Please help me answer!
Answer:
B
..................
Find the value of x in the
following parallelogram:
2x
х
х
2x
Answer:
60°
Step-by-step explanation:
The sum of the angles in any quadrilateral is 360°. In a parallelogram the sum of neighboring angles is 180°. Therefore:
2x + x = 180°
3x = 180°
x = 60°
The value of x is 60.
What is properties of parallelogram?Parallel sides define an object.Congruent opposites are present.Angles at opposites are congruent.Consecutive angles on the same side called supplementary angles.A parallelogram is divided into two congruent triangles by each of its diagonals.A parallelogram's diagonals cut each other in half.Given:
Angles x, x, 2x, 2x.
Using the property of parallelogram, the adjacent angles of parallelogram sum to 180.
x+ 2x= 180
3x= 180
x= 180/3
x= 60
Hence, the value of x is 60.
Learn more about properties of parallelogram here:
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An adult ticket for hypnotist's show cost $15. A children's ticket for the hypnotist's show cost $9. The number of adult tickets sold 5 more times the number of children's ticket sold. A total of $1512 is taken in for ticket sales. How many of each type of ticket is sold.
1. 21 adult tickets and 110 children's tickets
2. 110 adult tickets and 22 children's tickets
3. 10 adult tickets and 90 children's tickets
4. 10 adult tickets and 18 children's tickets
Answer:
The answer is B, or the second one.
90 Adult tickets and 18 Children's tickets
Step-by-step explanation:
(90 x 15) + (18 x 9)
**PLEASE HELP**
Find the equation, f(x)=a(x-h)^2+k, for a parabola that passes through the point (0,0) and has a (-3,-6) as its vertex. What is the standard form of the equation?
A.) The vertex form of the equation is f(x)= - 2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.
B.) The vertex form of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)+-2/3x^2-4x.
C.) The vertex form of the equation is f(x)= - 2/3(x-3)^2-6. The standard form of the equation is f(x)=2/3x^2-4x.
D.) The vertex of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.
Answer:
D) The vertex of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex]. The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
Step-by-step explanation:
Let [tex]A(x,y) = (0,0)[/tex] and [tex]V(x,y) = (-3, -6)[/tex] (vertex).
If we know that [tex]x = 0[/tex], [tex]y = 0[/tex], [tex]h = -3[/tex] and [tex]k = -6[/tex], then the standard equation results in:
[tex]a\cdot (0+3)^{2}-6 = 0[/tex]
And the value of [tex]a[/tex] is:
[tex]9\cdot a - 6 = 0[/tex]
[tex]a = \frac{2}{3}[/tex]
And the vertex form of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex].
Lastly, the standard form of the equation is found by algebraic means:
[tex]f(x) = \frac{2}{3}\cdot (x^{2}+6\cdot x +9)-6[/tex]
[tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex]
The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
In consequence, the right answer is D.
f(x) = 2(x – 1)– 5 and g(x) = – 2x + 1 , determine the x-values of the points of intersection.
Answer:
x = 2Step-by-step explanation:
These are equations of lines with different slopes, so there is only one point of their intersect.
The point of intersect is where f(x) = g(x).
2(x - 1) - 5 = - 2x + 1
+2x +2x
2x - 2 - 5 + 2x = 1
+7 +7
4x = 8
÷4 ÷4
x = 2
Answer: x = 2
Explanation:
From the way you were referring to the x-values as plural, I assumed there were multiple x-values and multiple points of intersection, but these are linear equations, so one x-value it is!
Simply f(x)=2(x-1)-5 into f(x)=2x-7. Just plug in 2x-7, in order to make it equal to -2x+1. That would make the equation 2x-7=-2x+1. Add 7 to both sides to make it 2x=-2x+8. Add 2x to both sides to make it 4x=8. Divide 4 to both sides and that results with x=2.
