Answers
Answer:
It's 1,3, and 5.
The functions that have a value of 0 are : [tex]cos(\frac{\pi}{2} ),~sin(0),~tan(\pi)[/tex]
What is function?"It defines a relation between input and output values.""In function for each input there is exactly one output."For given question,
We have been given some trigonometric functions.
We need to find the functions that have a value zero.
[tex]i)~cos(\frac{\pi}{2} )=0\\\\ii)~cos(0)=1\\\\iii)~sin(0)=0\\\\iv)sin(\frac{3\pi}{2} )=-1\\\\v)tan(\pi)=0[/tex]
From above, we can observe that functions [tex]cos(\frac{\pi}{2} ),sin(0)[/tex] and [tex]tan(\pi)[/tex] have a value of zero.
Therefore, the functions that have a value of 0 are : [tex]cos(\frac{\pi}{2} ),~sin(0),~tan(\pi)[/tex]
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Related Questions
solve each equation 2/3 (m - 6)=3
Answers
2/3(m-6)= 3
2/3m-4=3
2/3m= 7
m= 10.5
We can check it.
2/3(10.5-6)= 3
7-4=3
3=3
I hope this helps!
~kaikers
multiply 2 by everything in fraction; keep same denominator for everything in parentheses
(2*m)/3 - (2*6)/3= 3
2m/3 - 12/3= 3
simplify 12/3= 4
2m/3 - 4= 3
Multiply everything by 3 to eliminate fraction
(3)(2m/3) - (3)(4)= (3)(3)
2m - 12= 9
add 12 to both sides
2m= 21
divide both sides by 2
m= 10.5
Check:
2/3(m-6)=3
2/3(10.5-6)= 3
2/3(4.5)= 3
(2*4.5)/3= 3
9/3= 3
3= 3
Hope this helps! :)
To make a profit, a company’s revenue must be greater than its operating costs. The company’s revenue is modeled by the expression 7.5x – 100, where x represents the number of items sold. The company’s operation costs are modeled by the expression 79.86 + 5.8x. How many items does the company need to sell to make a profit? The inequality that will determine the number of items that need to be sold to make a profit is ? The solution to the inequality is ? The company must sell at least? items to make a profit.
Answers
Operation Costs = 5.8x + 79.86
To break even, operation cost = Revenue
⇒ 7.5x - 100 = 5.8x + 79.86
7.5x = 5.8x + 179.86 (Add 100 to both sides)
7.5x - 5.8x = 179.86
1.7x = 179.86
x = 105.8
This implies that the company will need to sell at least 106 items to make a profit.
The inequality that will determine the number of items at need to be sold to make a profit is x ≥ 106
The solution to the inequality is as follows
Revenue = 7.5x - 100
if x =106
Revenue = 7.5(106) - 100
Revenue = 695
Operational Cost = 5.8x + 79.86
if x = 106
Operational Cost = 5.8(106) + 79.86
Operational Cost = 694.66
Profit ≥ (695 - 694.66)
Profit ≥ 0.34
The company must sell at least 106 items to make a profit.
Using the profit concept, it is found that:
The inequality is: [tex]1.7x - 179.6 > 0[/tex]The solution is [tex]x > 105.6[/tex]The company must sell at least 106 items to make a profit.Profit is revenue subtracted by operations costs, that is:
[tex]P(x) = R(x) - C(x)[/tex]
In this problem, the functions are:
[tex]R(x) = 7.5x - 100[/tex]
[tex]C(s) = 79.6 + 5.8x[/tex]
Thus, the profit function is:
[tex]P(x) = R(x) - C(x)[/tex]
[tex]P(x) = 7.5x - 100 - 79.6 - 5.8x[/tex]
[tex]P(x) = 1.7x - 179.6[/tex]
It makes a profit if:
[tex]P(x) > 0[/tex]
Thus, the inequality is:
[tex]1.7x - 179.6 > 0[/tex]
The solution is:
[tex]1.7x > 179.6[/tex]
[tex]x > \frac{179.6}{1.7}[/tex]
[tex]x > 105.6[/tex]
Thus, the company must sell at least 106 items to make a profit.
A similar problem is given at https://brainly.com/question/24373628
What is the degree of the polynomial a4 + b3 - 2ab + c?
Answers
The variables of the polynomial are:
variable 1: a
variable 2: b
The degree of the polynomial, in this case, is given by the term of the polynomial that has the highest exponent.
We then have the following polynomial:
[tex]a ^ 4 + b ^ 3 - 2ab + c [/tex]
The term with the greatest exponent is:
[tex]a ^ 4 [/tex]
Therefore, the polynomial is of degree 4.
Answer:
The polynomial is of degree 4.
The degree of any given polynomial is said to be the highest power in the exponent of variables given in the polynomial.
For example, quadratic equations like (4x² + 4x + 1) have degree 2.
Here given polynomial is (a⁴ + b³ - 2a·b + c), this polynomial is a multivariable expression.
It is clearly visible that the highest power in the exponent of its variables is 4.
So, the degree of the given polynomial is 4.
For the data in the table, tell whether y varies directly with x . If it does, write an equation for the direct variation
X | Y
________
2 . -6.6
3 . -9.9
4 . -13.2
5 . -16.5
A. yes;y=-1/3x
B. yes;y=x - 3.3
C. no
D. yes; y = –3.3x
Answers
The behavior is linear.
The slope of the line will be:
m = (y2-y1) / (x2-x1)
The equation of the line will be.
y-yo = m (x-xo)
Where,
(xo, yo): Any point in the table.
The equation of the line in this case is:
y = -3.3x
Answer:
D. yes; y = -3.3x
Answer: D. yes; y = –3.3x
Step-by-step explanation:
Suppose f and g are continuous functions such that g(3) = 6 and lim x → 3 [3f(x) + f(x)g(x)] = 54. find f(3).
Answers
When f and g are continuous functions such that g(3) = 6 and lim x → 3 [3f(x) + f(x)g(x)] = 54 the value of f(3) is 6.
Rewrite the given limit as: lim x→3 [3f(x) + f(x)g(x)] = lim x→3 [3f(x)] + lim x→3 [f(x)g(x)]
Substitute the limits using continuity: 54 = 3 lim x→3 f(x) + lim x→3 f(x) ⋅ lim x→3 g(x) 54 = 3f(3) + f(3) ⋅ 6 (since lim x→3 f(x) = f(3) and lim x→3 g(x) = 6)
Combine like terms: 54 = 9f(3)
Divide both sides by 9: f(3) = 6
Therefore, f(3) = 6.
A histogram is being made for the following list of data. 78, 92, 98, 87, 86, 72, 92, 81, 86, 92 If the length of each interval is going to be 6, how many bars will there be on the histogram? 4 5 6 7
Answers
Therefore, the range is 98-72 = 26
The bars, 26/6
= 4.33
≈ 5 (to accommodate all the values)
Thus the number of bars will be 5.
A rectangular room is 14 feet by 20 feet. The ceiling is 8 feet high. How do you find the length and width of the smaller and larger wall?
Answers
We need to visualize the box by using a diagram attached with this problem.
[tex] Length = 14 \; feet [/tex]
[tex] Width = 20 \; feet [/tex]
[tex] Height = 8 \; feet [/tex]
The blue is smaller rectangle and brown is the larger rectangle
Conclusion:
Length of smaller wall (in blue color) is 14 feet
Width of smaller wall (in blue color) is 8 feet
Length of Larger wall (in brown color) is 20 feet
Width of the Larger wall (in brown color) is 8 feet
Let f(x)=√x find g(x), the function that is f(x) shifted up 1 units and left 5 units.
Answers
f(x)=√x shifted up 1 units is √x -1
f(x)=√x shifted left 5 units is √(x +5)
So g(x)= √(x +5) -1
the greatest common factor of −27x2yz5 + 15x3z3
Answers
−27x2yz5 + 15x3z3
we know that
27-------------> 3³
15-------------> 3*5
z^5-----------> z² * z³
x³------------> x² * x
substituting in the original expression
−27x2yz5 + 15x3z3---------->[-3³*x²*y*z³*z²]+[3*5*x²*x*z³]
[-3³*x²*y*z³*z²]+[3*5*x²*x*z³]-------> [3*x² *z³]*{[-3² *y*z²]+[5*x]}
the greatest common factor is [3*x² *z³]
Rachel invested $15,000 in a nine-year CD giving 8.5% interest, but needed to withdraw $4,000 after two years. If the CD's penalty for withdrawal was six months' worth of interest on the amount withdrawn, how much money did Rachel have when the CD reached maturity, not including the amount she withdrew? Round answer to the nearest whole dollar.
a.
$19,925
b.
$8,795
c.
$19,795
d.
$12,965
Answers
Answer:
Option a ) $19,925
Step-by-step explanation:
$15,000 was invested for 9 years and then $4,000 was withdrawn after 2 years.
So, $11,000 was invested for entire 9 years and $4,000 was invested for 2 years.
Interest on $11,000 for 9 years @ 8.5 % = 11,000 X 9 X 8.5 % = $8,415
Interest on $4,000 for 2 years @ 8.5 % = 4,000 X 2 X 8.5 % = $680
Penalty for withdrawing $4,000 = 4000 X 8.5 % X 0.5 = $170
Total amount that Rachel will get on maturity = $11,000 + total interest - penalty = $11,000 + $8,415 + $680 - $170 = $19,925
Hope it helps.
Thank you !!
What is the approximate area of the circle shown below 3.5cm
Answers
Answer:
D. 38.5 cm²
Step-by-step explanation:
The area of a circle is given by:
A = πr²
where r is the radius of the circle.
From the given figure,
Radius of the circle is r = 3.5 cm.
Therefore, the area of the circle is:
⇒A = 3.14 × (3.5 cm)² = 38.5 cm²
Thus, the correct option is D.
PLEASE HELP!!!
The areas of a figure and its transformed image are the same. Which transformation could NOT have been applied to the original figure to create the image?
A. Rotation of 90
B. Reflection across a horizontal line
C. Dilation by a scale factor of 0.5
D. Translation down 4 and then right 1
Answers
The transformation that could NOT have been applied to the original figure to create an image with the same area is:
C. Dilation by a scale factor of 0.5.
To determine which transformation could NOT have been applied to the original figure to create the image with the same area, let's analyze each option:
A. Rotation of 90 degrees: When a figure is rotated by 90 degrees, the area remains the same.
This transformation is possible.
B. Reflection across a horizontal line: A reflection across a horizontal line (a horizontal flip) preserves the area of the figure.
This transformation is possible.
C. Dilation by a scale factor of 0.5: Dilation involves scaling a figure by a certain factor.
If a figure is dilated by a scale factor of 0.5, both its length and width are reduced to half, which means the area is reduced to one-fourth of the original area.
This transformation is not possible because it changes the area.
D. Translation down 4 and then right 1: A translation moves a figure without changing its size or shape. A translation down 4 and then right 1 would not change the area of the figure, as it simply shifts the figure's position.
This transformation is possible.
So, the transformation that could NOT have been applied to the original figure to create an image with the same area is:
C. Dilation by a scale factor of 0.5
Dilation by a scale factor of 0.5 would change the area, making it incompatible with the condition that the areas of the original figure and its image are the same.
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glacier is moving at a rate of 0.3 inches every hour. The table below represents this relationship.Glacial Movement
Distance Moved (inches)
Time
(hours)
0.3
1
0.6
2
0.9
3
x
4
What value of x completes the table?
1.2
1.5
3.6
13.3
Answers
Answer:
The correct option is 1.
Step-by-step explanation:
It is given that the glacier is moving at a rate of 0.3 inches every hour. It means the average rate of change is 0.3.
Let d is the total moved distance of glacier and t is number of hours. Then the total moved distance of glacier after t hours is defined as
[tex]d=0.3t[/tex]
At t=1,
[tex]d=0.3(1)=0.3[/tex]
At t=2,
[tex]d=0.3(2)=0.6[/tex]
At t=3,
[tex]d=0.3(3)=0.9[/tex]
At t=4,
[tex]d=0.3(4)=1.2[/tex]
Total moved distance of glacier after 4 hours is 1.2 inches.
The value of x is 1.2. Therefore the correct option is 1.
I'M OFFERING 10 POINTS (More Than What It's Worth) AND BRAINLIEST ANSWER PLEASE SHOW ALL OF YOUR WORK. Thanks In Advance Guys
Answers
675,360.41 in expanded notation
Answers
The expanded notation of 675,360.41 is 6 * 100000 + 7* 10000 + 5 * 1000 + 3 * 100 + 6 * 10 + 0 * 1 + 4 * 0.1 + 1 * 0.01
How to rewrite the number?The number is given as:
Number = 675,360.41
Express the numbers using their place values
Number = 6 * 100000 + 7* 10000 + 5 * 1000 + 3 * 100 + 6 * 10 + 0 * 1 + 4 * 0.1 + 1 * 0.01
The above expression represents the expanded notation
Hence, the expanded notation of 675,360.41 is 6 * 100000 + 7* 10000 + 5 * 1000 + 3 * 100 + 6 * 10 + 0 * 1 + 4 * 0.1 + 1 * 0.01
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Help I can't find anyone who knows the answer to this! I will fan and medal to the first person who can answer it!
A scientist sets up an experiment to see how colored lights affect the height of plant growth. He grows one group of plants in full sunlight, one group under red lights, one group under blue lights, and one group under green lights. All the plants are exactly that same type and all receive an equal intensity of life. At the end of the experiment he measures all the plants.
What is the independent and dependent variable in this equation?
(A) the color of the light
(B) the height of the plant
(C) sunlight
(D) The intensity of the light
Answers
Dependent variable-the variable that is observed or measured.
Answer:
Independent variable is the color of the light Dependent variable is the height of the plant
HELP PLEASE
Daniel, a 37-year-old male, bought a $160,000, 10-year life insurance policy. What is Daniel’s annual premium? Use the table. (table in attachment) $611.20 $728.00 $1268.80 $1652.80
Kara, a 25-year-old female, bought a $50,000, 10-year life insurance policy through her employer. Kara is paid semimonthly. How much is deducted from each of her paychecks for life insurance? Use the table below. $4.81 $5.21 $6.25 $6.77
Answers
Answer:
1) Option B- $728
2) Kara's annual premium is $62.5.
Step-by-step explanation:
1) Given : Daniel, a 37-year-old male, bought a $160,000, 10-year life insurance policy.
To find : What is Daniel's annual premium?
Solution :
In the table given,
Annual premium is per $1000 of coverage.
Daniel's life insurance policy buy is $160,000
Annual premium per $1000 coverage Daniel buy at $160
37 year old male 10 year cost is $4.55
(marked in the attached table below)
Daniel's annual premium is [tex]4.55\times 160[/tex]
[tex]=\frac{455}{100}\times 160[/tex]
[tex]=728[/tex]
Daniel's annual premium is $728
Therefore, Option B is correct.
2) Given : Kara, a 25-year-old female, bought a $50,000, 10-year life insurance policy through her employer. Kara is paid semimonthly.
To find : How much is deducted from each of her paychecks for life insurance?
Solution :
In the table given,
Annual premium is per $1000 of coverage.
Kara's life insurance policy buy is $50,000
Annual premium per $1000 coverage Kara buy at $50
25 year old female 10 year cost is $2.50
(marked in the attached table below)
Kara is paid semimonthly
So, cost is[tex]\frac{2.50}{2}=1.25[/tex]
Kara's annual premium is [tex]1.25\times 50[/tex]
[tex]=\frac{1.25}{100}\times 50[/tex]
[tex]=62.5[/tex]
Kara's annual premium is $62.5.
a taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile traveled. the rule c=0.20m + 2.00 describe the relationship between the number of miles m and the total cost of the ride c.
Answers
HELP!
Jeff volunteers his time by working at an animal shelter. Each year he works for a total of 240 hours. So far this year, he has worked 97 hours. Which equation will solve for how many more hours (h) Jeff will volunteer for?
A) 97 = 240 + h
B) 97 = 240h
C) 240 = 97 + h
D) 240 = 97 - h
A survey asked a group of students to choose their favorite type of sport from the choices of soccer, softball, basketball, and others. The results of the survey are shown in the graph.
Based on the graph, how many students in a class of 84 students would be expected to choose a sport other than soccer, softball, or basketball as their favorite type of sport?
A) 3
B) 12
C) 24
D) 72
You're the banker at HappyBank.com. Identify the two borrowers you would MOST likely offer a loan based on their credit scores.
A) F. Lutts and B. Parker
B) F. Lutts and K. Teller
C) A. Fulbright and K. Teller
D) A. Fulbright and B. Parker
What is the prime factorization of 240?
A) 23 · 3 · 5
B) 23 · 5 · 7
C) 24 · 3 · 5
D) 24 · 3 · 7
Answers
240 = 97 + h
For the second question, there is no graph so I cannot answer it.
3rd question: no image, can't answer.
4th question:
Use a factor tree:
240
/ \
10*24
/\ /\
5*2 *8*3
/ / /\ \
5 * 2 *4*2 *3
/ / /\ \ \
5 * 2 *2*2 * 2 * 3
Starting with the smallest factor and using exponents we have
[tex]2^4*3*5[/tex]
C is the correct choice.
Given that Jeff volunteers his time by working at an animal shelter, and each year he works for a total of 240 hours, and so far this year, he has worked 97 hours, to determine which equation will solve for how many more hours (h ) Jeff will volunteer for, the following calculation must be performed:
240 - 97 = h 240 = 97 + h
Therefore, C is the correct choice.
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Select the quadratic that has roots x=8 and x=-5
Answers
[tex]\bf \begin{cases} x=8\implies &x-8=0\\ x=-5\implies &x+5=0 \end{cases} \\\\\\ (x-8)(x+5)=\stackrel{original~polynomial}{y}\implies x^2-3x-40=y[/tex]
Answer:
Quadratic equation: [tex]x^2-3x-40=0[/tex]
Step-by-step explanation:
We are given two roots of the quadratic equation and we need to find the quadratic equation.
If roots are a and b then equation
[tex]x^2-(\text{sum of roots})x+\text{Product of root}=0[/tex]
Roots are x=8 and x=-5
Sum of roots = 8 + (- 5) = 3
Product of roots = 8 x -5 = -40
Substitute the value into formula
Quadratic equation:
[tex]x^2-3x-40=0[/tex]
In factor form:
[tex](x-8)(x+5)=0[/tex]
Hence, The equation is [tex]x^2-3x-40=0[/tex]
Henry lives in Mississippi, which has a sales tax of 7%. He just bought a bed whose full price was $1600, but he got 30% off, because the store was having a sale. What was the total amount that Henry paid?
A.) $1120.00
B.) $1198.40
C.) $1934.40
D.) $1712.00
Answers
Answer:
B.) $1198.40
Step-by-step explanation:
Given,
The original price of the bed = $ 1600,
Since, in sale, he got 30 % off,
The price of bed in sale = The original price of the bed - 30 % of the original price of the bed
[tex]= 1600 - 30\% \text{ of } 1600[/tex]
[tex]=1600-\frac{30\times 1600}{100}[/tex]
[tex]=1600-\frac{48000}{100}[/tex]
[tex]=1600-480=\$ 1120[/tex]
Also, there is a sales tax of 7 % ,
Thus, the final price of the bed = The price of bed in sale + 7 % of the price of bed in sale
[tex]=1120+\frac{7\times 1120}{100}[/tex]
[tex]=1120+\frac{7840}{100}[/tex]
[tex]=1120+78.40=\$1198.40[/tex]
Hence, he paid $ 1198.40.
m ∠ U = (2x−5)° and m ∠W = (x+38)°What is m ∠W?
Question 1 options:
49°
180°
87°
90°
Answers
(2x -5) +(x +38) = 180
3x = 147
x = 49
m∠W = (49 +38)° = 87° . . . . . . . . . . corresponds to the 3rd selection
Can you solve the measure of an angle is twenty-nine times the measure of a supplementary angle. what is the measure of each angle
Answers
Let's assume A the measure of the angle,
180-A the supplementary angle
A=29*(180-A)
A=29*180 -29A
30A=29*180
A=29*180/30
A=29*6
A=174
Proof: 174=29*(180-174)
a car travels 450 miles in the same time that a motorcycle travels 390 miles. if the car’s speed is 10 miles per hour more than the motorcycle’s, find the speed of the car and the speed of the motorcycle.
the speed of the motorcycle is ___ mph.
the speed of the car is ___ mph
Answers
in y=16500-1500x what is the rate of change
Answers
Final answer:
The rate of change in the linear equation y=16500-1500x is -1500, indicating that y decreases by 1500 for each increase in x by one unit. This represents the slope of the line and shows a direct relationship between x and y in a regression line context.
Explanation:
In the equation y=16500-1500x, the rate of change is represented by the coefficient of x, which is -1500. This means that for each unit increase in x, the value of y decreases by 1500. Contrary to the provided reference which mistakenly lists the slope as -105,000/1, the actual rate of change in this linear equation is -1500. Such linear equations are often used to describe a regression line, which showcases the average relationship between the variables x and y in a scatter diagram.
The slope of a line in a linear equation like this one is crucial for understanding how changes in one variable affect another. This linear model is straightforward and does not change across different values of x, unlike in nonlinear models where the rate of change can vary.
Which graph correctly solves the system of equations below? y = x2 + 2x + 3 y = −x2 + 3
Answers
Answer:
Graphs are attached for both solutions.
Step-by-step explanation:
Using a graphing calculator, we can graph both equations and then find the solutions.
The solutions to the system of equations will be the points of intersection of the graphs. There are two points of intersection, so there are two solutions. One of them is at (0, 3); the other is at (-1, 2).
can anyone give an explanation and answer to this question,my sister needed help on this also :) Thank you again for taking your time to answer and read this <3
what is the circumference of a circular pond with a radius of 14 meters?
Answers
The circumference of a circle is calculated by 2πr
2π14 2*14=28
So it can be either 28π or you can take the first digits of π which are 3.1415 and multiply that by 28
28*3.1415= 87.96
Therefore you end up with 2 different answers...
87.96 or 28π
PLEASE FULL ANSWERS! need all the help I can get
Answers
The question is What happens at 4 -- exactly.
The function at x =4 is determined by 2 * x or 2*4 = 8
But look what happens to the top and bottom functions when you get infinitely close to x = 4. You could let x = 3.99999 to see what happens to the top function
g(x) = x - 2 when x is less than 4. So ...
Put in g(3.99999) = x - 2
g(3.99999) = 3.99999 - 2 = 1.99999 which rounds to 2. That's nowheres near 8.
We have already shown that at this point this is going to be discontinuous. 2 does not equal 8. But just for fun, we should try the bottom function
Suppose x = 3.99999 again.
then g(3.99999) = sqrt(3.99999) which is almost 2. there's no way that will work.
What is the written form of the decimal number .954?
Answers
your answer is Nine hundred fifty-four thousandths.
The point of intersection of the lines has an e-coordinate of?
Answers
.. y = k -x
.. 2x +3(k -x) = k +1
.. -x +3k = k +1 . . . . . collect terms
.. 2k -1 -x = 0 . . . . . . subtract k+1
.. 2k -1 = x . . . . . . . . .add x
The 3rd selection is appropriate.