Answers
Answer:
i have no idea.....
Step-by-step explanation:
Answer:
sin(5x)
Step-by-step explanation:
Recall that the half angle identity relates the sine of half an angle to the square root of one minus the cosine of the angle as shown below:
[tex]sin(\frac{\theta}{2} )=+/-\sqrt{\frac{1-cos(\theta)}{2} }[/tex]
therefore, in our case:
[tex]sin(5\,x )=+/-\sqrt{\frac{1-cos(10\,x)}{2} }[/tex]
so, make sure you type the expression : "sin(5x)" in the provided text-box.
Related Questions
A 15 foot ladder is leaning against a building, with the base of the ladder 4 feet from the building. How high up on the building will the top of the ladder reach?
The ladder will reach
android:
nothing ft high up on the building.
(Round to the nearest tenth.)
Enter your answer in the answer box and then click Check Answer.
All parts showing
Answers
Answer: The height of the building = 14.5 feet.
Step-by-step explanation:
Given: Length of ladder = 15 feet
Distance of base of ladder from building = 4 feet
Since building is standing vertical on ground making right angle.
So with ladder a right triangle is formed , where base = 4 feet , Hypotenuse = 15 feet [Hypotenuse is side opposite to right angle]
According to the Pythagoras theorem ,
Hypotenuse² = Perpendicular² + Base²
⇒ (15)² = Perpendicular² + (4)²
⇒ 225 = Perpendicular² +16
⇒ Perpendicular² = 225 -16
⇒ Perpendicular² = 209
⇒ Perpendicular = √209 = 14.4568322948 ≈ 14.5 feet
Hence, the height of the building = 14.5 feet.
Solve the formula 5x + 2y = 19 for y
Answers
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[tex]5x + 2y = 19[/tex]
Subtract sides 5x
[tex] - 5x + 5x + 2y = - 5x + 19[/tex]
[tex]2y = - 5x + 19[/tex]
Divide sides by 2
[tex] \frac{2y}{2} = \frac{ - 5x + 19}{2} \\ [/tex]
[tex]y = \frac{ - 5x}{2} + \frac{19}{2} \\ [/tex]
[tex]y = - \frac{5}{2} x + \frac{19}{2} \\ [/tex]
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The solution of the equation 5x + 2y = 19 for the value of y is y = (-5 / 2)x + ( 19 / 2).
What is an expression?
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is 5x + 2y = 19. The value of y will be calculated as:-
5x + 2y = 19
2y = 19 - 5x
y = ( 19 / 2 ) - ( 5x / 2 )
Therefore, the solution of the equation 5x + 2y = 19 for the value of y is y = (-5 / 2)x + ( 19 / 2).
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Suppose that your school's environmental club wants to travel to the state capital to participate in an Earth Day festival. The rental of a bus for the day will cost $895. Lunch and festival activities will cost $25 per student. Your club advisor thinks that the fee for participating should not be more than $60. How many students must be recruited for the trip. Write a mathematical model for this.
Answers
Answer:
Mathematical model is:
(895/n) + 25 ≤ 60
Number of students must not be less than 26
Step-by-step explanation:
We are told that;
- the rental of a bus for the day will cost $895.
- Lunch and festival activities will cost $25 per student
If the number of students are n, then cost per student for bus rent is; $895/n
Thus, total amount per n number of students to participate is;
895/n + 25
Now, we are told that the club advisor thinks that the fee for participating should not be more than $60.
Thus in form of inequality, we have;
(895/n) + 25 ≤ 60
Subtract 25 from both sides to get;
(895/n) ≤ 60 - 25
(895/n) ≤ 35
Multiply both sides by n and then divide both sides by 35;
895 ≤ 35n
26 ≤ n
Consider the composite function g(F(x)) = x square root of 6.
If f(x) = 3x2, what is g(x)?
Answers
Answer:
g(x) = √(2x)
Step-by-step explanation:
f(x) = 3x^2
g(f(x)) =√6x
g(3x^2) = x√6
g(x) must be √(2x)
because if we substitute x = 3x^2 in this we get
(√2(3x^2))
= √2√3√(x^2)
= √6 x
What number divided by−3 gives 12 as the result?
Answers
Answer:
-36
Step-by-step explanation:
x / (-3) = 12
x = 12*(-3)
x = -36
On a map , 1 inch represents 10 feet . How many inches would represent 35 feet .
Answers
Answer:
3 and a half inches or 3.50 inches
Step-by-step explanation:
if ten feet is 1 inch 30 feet would be 3 inches, 5 feet would make a half a inch since 10 feets divided by 2 is 5. one inch divided by 2 is 0.50 inches (or a half)
there for the answer is 3 and a half inches
A train stops at Atlanta, then at Bayville, and then at Colleyville. The
distance from Atlanta to Colleyville is 25.5 miles, and the distance from
Atlanta to Bayville is 10 2/3 miles.
Answers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as what is required of the question is not stated.
However, since the question is only limited to distance, a likely question could be to calculate the distance from Bayville to Colleyville.
Represent the distance from Atlanta to Colleyville with AC
Represent the distance from Atlanta to Bayville with AB
Represent the distance from Bayville to Colleyville with BC
So, we have that:
[tex]AC = 25.5\ miles[/tex]
[tex]AB = 10\frac{2}{3}\ miles[/tex]
The relationship between AB, AC and BC is:
[tex]AC = AB + BC[/tex]
Make BC the subject of formula:
[tex]BC = AC - AB[/tex]
[tex]BC = 25.5 - 10\frac{2}{3}[/tex]
Convert fraction to decimal
[tex]BC = 25.5 - 10.7[/tex]
[tex]BC = 14.8[/tex]
Hence, the distance from Bayville to Colleyville is 14.8 miles
what do i need to subtract from 83/10 to make 8
Answers
Answer:
0.3
Step-by-step explanation:
Let x be what you need to subtract
[tex]\frac{83}{10} = 8.3[/tex] Plug x in: 8.3 - x = 8Re-arrange: 8.3 - 8 = x8.3 - 8 = 0.3So, you need to subtract 0.3 from 83/10 to make 8.I hope this helps!
Answer:
3/10
Step-by-step explanation:
83/10 - 3/10 = 80/10 = 8
which is closer to 0, -24 or 38
Answers
Answer:
-24
Step-by-step explanation:
Although -24 is a negative number, it still is 24 numbers away from zero. 38 is positive and is 38 digits away.
What is the solution to the inequality f + 4 < 2?
Answers
Answer: f=-2
Step-by-step explanation:
math
Answer:
f < -2
Step-by-step explanation:
Graph the equation on the coordinate plane.
y = 4x
Answers
(0,0), (2,8), (3,12)
Plot these points and draw a line through them.
) Encuentra dos números consecutivos cuya suma sea 57.
Answers
Answer:
k
Step-by-step explanation:
k
Geometry please help!!!!!!!?
Answers
Answer:
It is same as the length of YX =8 inches so the length of VW=8 inches
PLEASE HELP ASAP!!
what is the range of the graphed function?
A) {x | -2 < x < 2}
B) {y | -2 < y < 2}
C) {x | x is a real number}
D) {y | y is a real number}
Answers
Answer:
Since this graph is continuing, y must be any real number. So, d.
what is the value of B and C
Answers
Answer:
The value of b is 6 and the value of c is also 6
Step-by-step explanation:
We know that given triangles are congruent. When two triangles are congruent then their respective sides are also equal/congruent.
So,
ΔUWV≅ΔEDF
Then
WV ≅ DF
WU ≅ DE
UV ≅ EF
So,
Putting their respective value equal:
WV = DF
[tex]9c = 10c-6\\10c-6 = 9c\\10c-6+6 = 9c+6\\10c = 9c+6\\10c-9c = 9c+6-9c\\c = 6\\and\\10b = b+54\\10b-b = b+54-b\\9b = 54\\\frac{9b}{9} = \frac{54}{9}\\b = 6[/tex]
Hence,
The value of b is 6 and the value of c is also 6
I would like to create a rectangular orchid garden that abuts my house so that the house itself forms the northern boundary. The fencing for the southern boundary costs $20per foot, and the fencing for the east and west sides costs $10 per foot. If I have a budget of $200 for the project, what are the dimensions of the garden with the largest area I can enclose? HINT [See Example 2.]
ft (smaller value) ? ft (larger value)
ft2
Answers
Answer:
Length = [tex]5\ \text{ft}[/tex]
Breadth = [tex]5\ \text{ft}[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the length of the garden
and [tex]y[/tex] be the width of the garden
From the details of the cost in the question we get
[tex]20x+2\times (10y)=200\\\Rightarrow 20x+20y=200\\\Rightarrow x+y=\dfrac{200}{20}\\\Rightarrow x+y=10\\\Rightarrow y=10-x[/tex]
Now area of the garden is
[tex]A=xy\\\Rightarrow A=x(10-x)\\\Rightarrow A=10x-x^2[/tex]
Differentiating with respect to x we get
[tex]\dfrac{dA}{dx}=10-2x[/tex]
Equating with 0
[tex]0=10-2x\\\Rightarrow x=\dfrac{-10}{-2}\\\Rightarrow x=5[/tex]
Double derivative of the area is
[tex]\dfrac{d^2A}{dx^2}=-2<0[/tex]
So, area is maximum at [tex]x=5[/tex]
[tex]y=10-x=10-5\\\Rightarrow y=5[/tex]
So, the length and breadth of the rectangle is [tex]5\ \text{ft}[/tex].
A crew of highway workers paved 1/5 mile in 1/8 hour. If they work at the same rate, how much will they pave in one hour?
Answers
Answer:37.5
Step-by-step explanation:
The work a crew will pave in an hour will be 8/5 miles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a crew of highway workers paved 1/5 mile in 1/8 hour. The amount of work will be calculated as,
1 / 8 hours ⇒ 1 / 5 miles
1 hour ⇒ 8 x (1 / 5 ) miles
1 hour ⇒ 8 / 5 miles
Therefore, the work a crew will pave in an hour will be 8/5 miles.
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a tv costs 800 plus vat at 20% what is the total cost of the tv
Answers
Question 2 options: A consumer advocate group selects a random sample of 205 snack foods and finds that 174 of them contain more fat grams than what is indicated in the snack's nutritional information. Create a 90% confidence interval for the population proportion for snack foods that contain more fat grams that what is indicated in the snack's nutritional information.
Answers
Answer:
156 snack foods.
Step-by-step explanation:
205 - 174 = 31
To find 90% of 174, multiply 174 by 0.90.
174 x 0.90 = 156
The answer is 156 snack foods.
A garden is in the shape of a rectangle 90 m by 60 m.
Flowers are grown in 40% of the garden.
The rest of the garden is grass.
Work out the area of the garden that is grass.
Answers
Answer:
3240 sq meters
Step-by-step explanation:
Area of garden = 90*60= 5400 square meters.
Flowers grown on = 40%
So, grass grown on = (100 -40)% = 60%
60% of 5400 = 0.6*5400 = 3,240.
So, the area of the garden that is grass = 3,240 square meters
The area is 90*60m which is 5,400m.
60% of the garden is grass (1-0.4=.6)
60% of 5,400 = 3,240 meters
(1 pt)What is the vertex of the graph of
the function f(x) = x2 + 6x + 9?
Answers
Answer:
(-3,0)
Step-by-step explanation:
If a wedding ring is dropped from a tall building, the distance it has fallen in feet is given by 16t2, where t is the time in seconds since the ring was dropped. How far has the ring fallen after 5 seconds?
Answers
For a given population of high school seniors, the Scholastic Aptitude Test (SAT) in mathematics has a mean score of 500 with a standard deviation of 100. Assume that the SAT scores are normally distributed. What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be
(a) more than 675?
b) between 450 and 675?
Answers
Answer:
The probability that a randomly selected high school senior's score on mathematics part of SAT will be
(a) more than 675 is 0.0401
(b)between 450 and 675 is 0.6514
Step-by-step explanation:
Mean of Sat =[tex]\mu = 500[/tex]
Standard deviation = [tex]\sigma = 100[/tex]
We will use z score over here
What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be
(a) more than 675?
P(X>675)
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]
Z=1.75
P(X>675)=1-P(X<675)=1-0.9599=0.0401
b)between 450 and 675?
P(450<X<675)
At x = 675
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]
Z=1.75
At x = 450
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{450-500}{100}[/tex]
Z=-0.5
P(450<X<675)=0.9599-0.3085=0.6514
Hence the probability that a randomly selected high school senior's score on mathematics part of SAT will be
(a) more than 675 is 0.0401
(b)between 450 and 675 is 0.6514
plz do this ill mark brainly
Answers
Answer:
7+(−2) = 7 − 2 = 5
Step-by-step explanation:
Answer:
The Positive number has to be greater than the negative number you are adding with.
Example(s):
-30 + 35 = 5
-65 + 70 = 5
Formed from sentences P and Q, the sentence P or Q is a
A) biconditional.
B) complementary.
C) conditional
D) disjunction.
Answers
Answer c I think
Step-by-step explanation:
Is 4/10 closer to 0, 1, 1/2
Answers
Answer:
1/2
Step-by-step explanation:
Divide the denominator in half
10/2 = 5
4 is close to 5 so 4/10 is close to 1/2
Answer:
4/10 is closer to 1/2.
Think of a pie. There are 10 slices total, but only 4 slices remain, because I ate them all! Do you think that 4 out of 10 slices would be closer to a whole pie or half a pie? It would be closer half a pie.
Further explanation:
If you were to round the number 44 to the closest ten, it would be 40. If you were to round 47 to he nearest ten, it would be 50. If you were to round 45 to the nearest ten, it would also be 50. I hope this helps!
Half (1/2) is the answer.
write the equation in slope-intercept form of the line that passes through (6,-11) and is parallel to the graph of y=-2/3x+12
Answers
Answer:
[tex]y = -\frac{2}{3}x - 7[/tex]
Step-by-step explanation:
Given
[tex]Point = (6,-11)[/tex]
[tex]Equation: y = -\frac{2}{3}x + 12[/tex]
Required
Determine the equation of the point
First, we need to determine the slope of the point.
Since the point is parallel to the given equation, then they have the same slope (m).
The general form of an equation is:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m = -\frac{2}{3}[/tex]
The equation of the point in slope intercept point is:
[tex]y -y_1 = m(x-x_1)[/tex]
Where
[tex]m = -\frac{2}{3}[/tex]
[tex](x_1,y_1) = (6,-11)[/tex]
Substitute these values in the equation:
[tex]y - (-11) = -\frac{2}{3}(x - 6)[/tex]
[tex]y +11 = -\frac{2}{3}(x - 6)[/tex]
[tex]y +11 = -\frac{2}{3}x + \frac{2}{3}*6[/tex]
[tex]y +11 = -\frac{2}{3}x + 4[/tex]
Subtract 11 from both sides
[tex]y = -\frac{2}{3}x + 4-11[/tex]
[tex]y = -\frac{2}{3}x - 7[/tex]
Sierra, an Event Planner for Hilton, has group medical insurance with an annual premium of $8,245. Her employer pays 74%. If she is paid semi monthly, a) what is her portion of the annual premium? b) her medical insurance deduction per pay period?
Answers
9514 1404 393
Answer:
$2,143.70$89.32Step-by-step explanation:
If 74% is paid by Hilton, then Sierra pays 26% of $8245 per year. Her annual share is ...
0.26 × $8245 = $2143.70 . . . Sierra's share
__
Then the deduction in each of her 24 pay periods is ...
$2143.70/24 = $89.32 . . . per pay period
PLEASE HELP I WILL GIVE YOU A BRAINLIEST! During a basketball game, Tom attempted 25 shots and made 9. He says he made 40% of the shots he took. Is Tom correct? Explain your reasoning using complete sentences.
Answers
Answer:
Correct I think
Step-by-step explanation:
9 is nearly half of 25. (12.5) Half is equal to 50%. 40 is close to 50 and 9 is close to 12.5. So, he is correct. I think, hope this helps.
Samir usually drink 3 cups of coffee in the morning how many liters of coffee does he drink round
Answers
Answer:
0.709765 liters
Step-by-step explanation: