The parent secant function is shifted 2 units down, and its period is changed to pi. Which of the following is the graph of the transformed function?
Thank you!
Answers
Two transformations are applied to this function.
1st Transformation:
Function is shifted down by 2 units. The resultant function will be:
sec(x) - 2
2nd Transformation:
The period of function is changed to π. The resultant function after both transformations will be:
sec(2x) - 2
The graph of transformed function over 1 period is attached below.
Related Questions
Suppose ÐABC = 60o. If ÐABC is bisected, each of the new angles would be __________.
Answers
30 degrees
Explanation:
Bisecting an angle means that we will split the angle into two equal halves.
We are given that the total angle is 60 degrees, therefore:
each of the new angles would be = 60 / 2 = 30 degrees
Hope this helps :)
A teacher reaches into a bag of game pieces containing 5 black pieces, 3 purple pieces, 1 orange piece, and 6 green pieces. He draws 2 pieces, setting aside the first piece before drawing the second. What is the probability that at least one of the drawn pieces is purple
Answers
This would be PP + PW+ PG + PB +WP +GP + BP
= (3/15 × 2/14) + (3/15×1/14)+(3/15×6/14) +(3/15+5/14)+(1/15×3/14) + (6/15× 3/14) + (5/15 × 3/14)
= 6/210 +3/210 +18/210+15/210+3/210 +18/210+ 15/210
= 78/210
= 13/35
Answer:
13/35
Step-by-step explanation:
gradpoint
A circle has a diameter with endpoints at -2+i and -6-11i. What is the center of the circle
Answers
Answer:
-4 -5i
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
PLZZZ HELP FOR BRAINLIEST AND POINTS!!
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > 5x + 5
y >- 1/2x + 1
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (−2, 5) included in the solution area for the system? Justify your answer mathematically.
Answers
b.) the answer (-2, 5) is a possible solution because if you plug it into either inequality is works out.
[tex]5 > 5( - 2) + 5[/tex]
[tex]5 > - 5[/tex]
The first inequality checks out
[tex]5 > - \frac{1}{2} ( - 2) + 1[/tex]
[tex]5 > 2[/tex]
The second inequality checks out as well
Of the 8760 hours in a year, one television was on for2628hours. what percent is this?
Answers
2628 / 8760 = 0.3
0.3 = 30%
An equiangular triangle can never be scalene. true or false?
Answers
The given statement "An equiangular triangle can never be scalene." is true.
What is an equiangular triangle?An equiangular triangle is a triangle that has three equal angles.
What is a scalene triangle?A scalene triangle is a triangle that has three unequal sides.
Therefore, a scalene triangle has three different angles.
Therefore, an equiangular triangle and scalene triangle are two completely different triangles.
Hence, an equiangular triangle can never be a scalene triangle.
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Vincent Plans To Save 2/5 Of His Earnings Each Week For 12 Weeks. He Earns Approximately $180 Per Week. About How Much Will Vincent Have Saved From Earning At The End Of 12 Weeks?
A. 345.60
B. 432.00
C. 864.00
D. 1,296.00
Answers
To get this answer you find out what one-fifth of 180 is. It is 36 dollars, but the question asks for two-fifths which is 72 dollars. Then you multiply 72 times 12, for the 12 weeks. Your final answer is $864 dollars!
Hope this helps! :)
Let's do this step by step!
#1:
Divide his approximate earnings per week by 5, and then multiply that by 2 to find 2/5 of his earnings per week.
180 ÷ 5 = 36
36 × 2 = 72
#2:
Multiply this by 12 weeks to find the answer to your question!
72 × 12 = 864
ANSWER:
Vincent will have saved approximately C. $864.00 from his earnings at the end of 12 weeks.
Find the length of the side of the square that has the same area as a circle with radius r cm.
Answers
The area of a circle is given by the equation [tex]A=\pi r^{2}[/tex]
Set these two equations equal to one another because the areas are equal, and then rearrange the equation in terms of r:
[tex]s^{2}=\pi r^{2}[/tex]
[tex]s= \sqrt{\pi r^{2} } [/tex]
Answer:
Step-by-step explanation:
Definition of Square: a parallelogram whose area is equal to the product of its sides. The circle is a plane figure whose area is calculated by the formula r².
The length of the side of the square is .
Given:
The radius of the circle is = r cm.
Length of the side of square = a cm
Now,
Area of Square is = a²
Area of Circle = r²
Since, given that radius of a circle is equivalent to the length of the square, such that:
a² = r²
a² = r²
a =
a =
Thus, the value of the length of the square is r√π.
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Point P is the center of the circle that is circumscribed around the triangle. What does point P represent with regard to the triangle
Answers
Answer: d) the point of concurrency of the perpendicular bisectors
Step-by-step explanation:
Jack bought two sweaters for $17.99 and a pair slacks for $25.50. including a 5 1/2% tax, how much was his total purchase?
Answers
5 ½ = 5 + (1 ÷ 2) = 5 + 0,5 = 5,5%
⓶ Then, once you got rid of that fraction, I usually transform a percentage into a decimal because, again, I find it easier to work with :
5,5% = 5,5 ÷ 100 = 0,055
⓷ The next step would be to add both prices together in order to get one unique price to work with instead of two :
$17,99 + $25,50 = $43,49
⓸ Next, you need to multiply the total price you calculated at #3 by the decimal of the pourcentage that you calculated at #2 in order to find the tax amount on his purchase :
5 ½% of $43,49
↓
5,5% of $43,49
↓
0,055 × $43,49 = 2,39195
Since we are calculating money, you need to round up this number at the hundredths, wich means that you’ll end up with about $2,39 of taxes on your total purchase!
⓹ The last and final step is to add the tax amount that you just calculated in #4 to the total price you calculated at #3 in order to find the total of his purchase including the 5 ½% taxes :
$43,49 + $2,39 = $45,88
If you wanted to be a tiny bit more precise, you could have decided not to round up the tax amount in #4 and just round up the final amount ↠
$43,49 + 2,39195 = 45,88195
Wich would, in this case, given you the same exact answer which is : $45,88
But it is important to keep in mind that sometimes the answer might vary if you round up only at the end, depends on your teacher’s exigences more than anything!
→ So the final answer is that his total purchase including a 5 ½% tax is : $45,88!
I really hope this helps, if there’s anything just let me know! ☻
The total cost of purchase of Jack is $ 45.88
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The cost of two sweaters is = $ 17.99
The cost of pair of slacks is = $ 25.50
So ,
The cost of two sweaters and pair of slacks = $ 17.99 + $ 25.50
= $ 43.49
Now the equation will be ,
The tax percentage on the cost of purchase = 5 1/2 %
= 5.5 %
The cost of purchase including the tax percentage =
The cost of two sweaters and pair of slacks x tax percentage
The cost of purchase including the tax percentage = 43.49 x ( 5.5/100 )
= $ 2.39195
So the equation will be ,
The total cost of purchase =
The cost of two sweaters and pair of slacks + cost of purchase including the tax percentage
The total cost of purchase = $ 43.49 + $ 2.39195
= $ 45.88195
≈ $ 45.88
Hence , the total cost of Jack's purchase is $ 45.88
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WILL GIVE A BRAINLEST
What is the value of [3.6]
3
3.5
3.6
4
Answers
Answer:
A) 3
Step-by-step explanation:
The notation f(x)=[x] represents the greatest integer function, with the integer being less than or equal to x.
Since we have to find the nearest integer smaller than the given number, we can say that greatest integer function always rounds down its input to the nearest integer.
We have to find the value of [3.6]. So we have to round down 3.6 to its nearest integer, which will be 3.
Therefore, the option A gives the correct answer.
Answer: Hello mate!
the function f(x) = [x] is equal to the closest smaller or equal integer to the number x.
for example:
[1] = 1
[1.3] = 1
[1.9998] = 1
then, the closest smaller or equal integer to the number 3.6 is the number 3.
this means that f(3.6) = [3.6] = 3, then the right option is the first one.
Which three lengths CANNOT be the lengths of the sides of a triangle?
Question 2 options:
A. 21 m, 6 m, 10 m
B. 11 m, 11 m, 12 m
C. 23 m, 17 m, 14 m
D. 5 m, 7 m, 8 m
Answers
The sum of two sides of a triangle must be longer than the third side, but 6 + 10 is less than 21, so it cannot be a triangle.
Hope this helps =)
Find two consecutive even integers such that the smaller added to threetimes the larger gives a sum of 30.
Answers
x+3x+6=30
4x=24
x=6
x+2=8
The numbers should be 6 and 8.
The two consecutive even integers that satisfy the given condition are 6 and 8. When the smaller one (6) is added to three times the larger one (8), the sum is 30.
The student has asked for help in finding two consecutive even integers such that the smaller added to three times the larger gives a sum of 30. To solve this, let's designate the smaller even integer as x. Since the numbers are consecutive even integers, the next integer will be x + 2.
The equation based on the problem statement will look like this:
x + 3(x + 2) = 30
Expanding the equation gives:
x + 3x + 6 = 30
Combining like terms:
4x + 6 = 30
Subtracting 6 from both sides:
4x = 24
And dividing by 4:
x = 6
Now, the two consecutive even integers can be determined:
The smaller integer is 6, and the larger integer is 6 + 2, which equals 8. Therefore, the two integers are 6 and 8, and if we check:
6 + 3(8) = 6 + 24 = 30, which matches the required sum.
Answer for number 5?
Answers
The formula for Perimeter is P = 2L + 2W
Where L = length; W = width
192 = 2L + 2W
= 2(5x) + 2(3x)
= 10x + 6x
= 16x
192/16 = 16x/16
x = 12
Substitute the values:
192 = 2(5x) + 2(3x)
= 2(5*12) + 2(3*12)
= 2(60) + 2(36)
192 = 192
Bonnie wants to make a picture frame for a 5 x 8-inch photo. What is the area of the frame if the frame is 1 inch thick? square inches
Answers
Explanation:
1) Measure of the picture: 5 in x 8 in
2) The frame can be splited into 4 rectangular figures:
Two of 10 in * 1 in = 2 * 10 in^2 = 20 in^2
Two of 5 in * 1 in = 2 * 5 in^2 = 10 in^2
3) The total area of the frame is 20 in^2 + 10in^2 = 30 in^2
4) You can also see that the dimensions of the picture with the frame are 10 in * 7 in, which leads to an area of 10 in * 7 in = 70 in^2.
So, if you subtract the are of the picture, you will have the are of the frame.
Area of the picture = 5 in * 8 in = 40 in^2
Area of the frame = total area - area of the picture = 70 in^2 - 40 In^2 = 30 in^2.
Which confirms the previous calculation.
The area of the frame if the frame is 1 inch thick will be 30 inch².The area of the frame is found as the product of the length and breadth of the frame.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
If the frame is 1 inch thick then the total area is found as;
The area of the rectangular picture is;
[tex]\rm A = 5 \times 8 \\\\\rm A =40 \ inch^2 \\\\[/tex]
The total area of the frame is found as;
Area of frame = Total area - area of the picture
Area of frame =70 -40
Area of frame = 30 inch²
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A market demand schedule shows:
A how many units of a product individual consumers buy on a regular basis.
B how much of a good or service all consumers are willing and able to purchase at different prices.
C The additional total product that can be made by adding one additional worker.
D The total cost of products and the number of workers.
Answers
A tree house is being constructed with support beams that create right triangles. If the legs of the triangle created measure 2.5 ft and 3 ft, what are the angle measures of the non-right angles?
39.8 and 50.2
68.5 and 21.5
87.6 and 2.4
56.4 and 33.6
Answers
Answer: 39.8 and 50.2
Step-by-step explanation:
Here, the triangles has the legs 2.5 ft and 3 ft.
Since, by the Pythagoras theorem,
Hypotenuses of the triangle,
[tex]=\sqrt{2.5^2+3^2}=\sqrt{6.25+9}=\sqrt{15.25}\text{ feet}[/tex]
Now, let [tex]\theta_1[/tex] and [tex]\theta_2[/tex] are the angles opposite to the sides 2.5 and 3 respectively,
Hence, by the law of sine,
[tex]\frac{sin\theta_1}{2.5}=\frac{sin\theta_2}{3}=\frac{sin90^{\circ}}{\sqrt{15.25}}[/tex]
When,
[tex]\frac{sin\theta_1}{2.5}=\frac{sin90^{\circ}}{\sqrt{15.25}}[/tex]
[tex]\implies sin\theta_1=\frac{2.5}{\sqrt{15.25}}=0.64018439966 [/tex]
[tex]\implies \theta_1=39.8055710923 \approx 39.8^{\circ}[/tex]
Similarly,
[tex]\frac{sin\theta_2}{3}=\frac{sin90^{\circ}}{\sqrt{15.25}}[/tex]
[tex]\implies sin\theta_2=\frac{3}{\sqrt{15.25}}=0.76822127959 [/tex]
[tex]\implies \theta_2=50.1944289077 \approx 50.2^{\circ}[/tex]
Hence, First option is correct.
Michelle and Andrea are walking laps for charity. The amount of money, y, that each girl raises for a certain number of laps, x, is shown in the tables below. Michelle mc020-1.jpg Andrea mc020-2.jpg Which statement explains who will raise $100 with the fewest number of laps? Michelle will, because the slope of the line described by the data in her table is the greatest. Andrea will, because the slope of the line described by the data in her table is the greatest. Michelle will, because her number of laps are increasing at a faster rate. Andrea will, because her number of laps are increasing at a slower rate
Answers
Michelle's graph has a slope of 3/2 which equals 1.5
Andrea's graph has a slope of 5/4 which equals 1.25
Hope this helps ;)
Answer:
The answer would be a im sure
Step-by-step explanation:
Seven more than half of the cost , c
Answers
Find the area of the shaded portion in the square (assuming the center point of each arc is the corresponding central point of the line and the arcs intersect at the center point of the circle)
Answers
Answer:
The answer is 2. hope it helps!
Step-by-step explanation:
Answer: The area of the shaded portion is [tex](\pi-2)~\textup{sq. units}.[/tex]
Correct option is 2.
Step-by-step explanation: We are given to find the area of the shaded portion in the figure.
Since, the centre point of each arc is the corresponding central point of the line and the arcs intersect at the centre point of the circle,
so let us divide the figure into four equal parts, one of them is square ABCD as shown in the attached figure.
The area of the square ABCD will be
[tex]A_{ABCD}=\left(\dfrac{1}{2}\times 2\right)^2\\\\\\\Rightarrow A_{ABCD}=1~\textup{sq. units}.[/tex]
Now, area of the shaded portion inside the square ABCD will be
[tex]A_s=2\times \textup{area of the quarter circle with radius 1 unit}}-\textup{area of square ABCD}\\\\\Rightarrow A_s=2\times \left(\pi\times \left(\dfrac{1}{2}\right)^2\right)-A_{ABCD}\\\\\\\Rightarrow A_s=2\times\left(\dfrac{\pi}{4}\right)-1\\\\\\\Rightarrow A_s=\left(\dfrac{\pi}{2}-1\right)~\textup{sq. units}.[/tex]
Since all the four squares are identical in the attached figure, so the required area of the total shaded portion in the figure is
[tex]A=2\times\left(\dfrac{\pi}{2}\right)\\\\\\\Rightarrow A=(\pi-2)~\textup{sq. units}.[/tex]
Thus, the area of the shaded portion is [tex](\pi-2)~\textup{sq. units}.[/tex]
The correct option is 2.
What is the true solution to 3 in 2 + in 8 = 2 in(4x)
a. x=1
b. x=2
c. x=4
d. x=8
Answers
ln is base e. both sides of the equation are base e so the parts inside the parentheses are equal
x=2
The true solution to [tex]3 log 2+log8 =2log(4x)[/tex] is [tex]x=2[/tex]. The correct option is b. [tex]x=2[/tex].
Given expression is[tex]3 \log 2+\log8 =2\log(4x)[/tex].
We have to calculate the value of [tex]x.[/tex]
Properties of logarithm:We know that,
[tex]n \log m= \log(m)^n[/tex]
and
[tex]\log m + \log n = \log(mn)[/tex]
Solving the equation:
[tex]3 \log 2+\log8 =2\log(4x)[/tex][tex]\log(2)^3+\log8 =\log(4x)^2[/tex]
{using [tex]n \log m= \log (m)^n[/tex]}
[tex]\log8+\log 8= \log 16x^2[/tex]
[tex]\log (8 \times8)=\log16x^2[/tex] {using [tex]log m + log n = log(mn)[/tex]}
Since log is on both sides so it is eliminated from both sides,
[tex]8 \times8=16x^2\\64=16x^2\\[/tex]
[tex]x^{2} =\frac{64}{16}\\x^{2}=4\\x=2[/tex]
Hence the true solution to [tex]3 log 2+log8 =2log(4x)[/tex] is [tex]x=2[/tex].
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What is the volume of a right circular cylinder with a diameter of 19.6 yd and a height of 23.52 yd?
Enter your answer in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.
yd³
Answers
Answer:
7092.82
Step-by-step explanation:
i took the quiz
help me its easy Triangle DOG is an isosceles triangle with DO = OG, and mD = 18. What is mO? A. 18 B. 36 C. 144 D. 162
Answers
180 - 36 = 144
Angle O = 144
Hope this helps =)
Answer:
B
Step-by-step explanation:
If a triangle is an obtuse triangle then it can not be an isosceles triangle.
a. True
b. False
Answers
FALSE
CB = AC
The floor plan of a factory is dilated by a factor of 4 to create a new, larger floor plan.
The area of the new floor plan is _______ times larger than the area of the original floor plan?
a. 4
b. 8
c. 16
d. 64
e. 256
Answers
The original floor could be rectangle in shape.
If we consider the length of floor to be 'L' and width of floor to be 'W',
then area of original floor = length x width = LW.
And if its dimensions are dilated by scale factor of 4 to make new floor, then new length and width would become four times of older values. So new length would be '4L' and new width would be '4W'
Now area of new floor = length x width = 4L x 4W = 16LW.
It is clear that the area of new floor is 16 times of the area of original floor.
So, option C i.e. 16 is the final answer.
How many prime numbers less than 100 have a units digit of 1?
Answers
1) We can write down all the prime numbers and check if they have 1 as a unit digit. Then we count them.
2) This is quicker way. We write down all the numbers that are less than 100 and that have 1 as a unit digit:
1
11
21
31
41
51
61
71
81
91
Now we check if each of them is prime number. By definition 1 is not prime number. From our list prime numbers are: 11,31,41,61,71.
So, we have total of 5 prime numbers that are less than 100 and that have 1 as a unit digit.
There are 5 prime numbers less than 100 that have a units digit of 1.
To determine how many prime numbers less than 100 have a units digit of 1, we need to follow these steps:
List all the prime numbers less than 100.Filter out the prime numbers with a units digit of 1.List all prime numbers less than 100.The prime numbers less than 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
Filter out the primes with a units digit of 1.The primes with a units digit of 1 are: 11, 31, 41, 61, 71.
Mick paid $2.94 in sales tax on an item that cost $42.00 before tax. At that rate, how much would he paying sales tax before an item that cost $58 before tax
Answers
Explain how to find the range of a data set. what is an advantage of using the range
Answers
To find the range you would have to but the data(numbers) in order from least to greatest, then subtract the smallest number from the largest. The disadvantage of using range is that it does not measure the spread of the majority of values in a data set it only measures the spread between highest and lowest values. As a result, other measures are required in order to give a better picture of the data spread.
What is the product of -9(5-2x)
Answers
The product of -9(5-2x) is found by multiplying -9 by each term inside the parentheses resulting in -45 + 18x.
Explanation:The product of -9(5-2x) is found by distributing the -9 to both terms inside the parentheses. Following the rules of multiplication, when a negative number multiplies a positive number, the result is negative, and when a negative number multiplies a negative number, the result is positive. Hence:
-9 x 5 = -45
and
-9 x -2x = 18x.
Combining these results, we get the final expression:
-45 + 18x
Keep in mind that when simplifying expressions or performing multiplication, we need to adhere to the rules for multiplication of numbers with different signs, as described earlier.
Final answer:
The product of -9(5-2x) is calculated by using the distributive property to multiply -9 by each term inside the parentheses, yielding 18x - 45.
Explanation:
The product of -9(5-2x) can be found by applying the distributive property of multiplication over subtraction. This property states that you multiply the term outside the parentheses by each term inside the parentheses. Here are the steps:
Multiply -9 by the first term inside the parentheses (5), which is -45.
Multiply -9 by the second term inside the parentheses (-2x), which gives us +18x (note that a negative multiplied by a negative gives a positive).
Combine these two products to get the final result, -45 + 18x, or 18x - 45.
This demonstrates the rules of multiplication where multiplying two numbers with opposite signs results in a negative product, and multiplying two numbers with the same sign results in a positive product.
Eric plans to rent a car for a day from Easy Car Rental. He has a coupon for 25% off the daily base rate of $40. He will also have to pay an additional $0.15 for each mile he drives. Which expression represents the situation? (m represents the number of miles)
Answers
Answer:
30 + 0.15m
Step-by-step explanation:
base rate = 40(1 − 0.25) = 40(0.75) = 30
per mile = 0.15m
thus,
30 + 0.15m
The correct expression represents the situation is,
⇒ 30 + 0.15m
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Eric plans to rent a car for a day from Easy Car Rental.
Here, He has a coupon for 25% off the daily base rate of $40.
And, He will also have to pay an additional $0.15 for each mile he drives.
Let m represents the number of miles.
Hence, We can formulate;
⇒ 40 (1 - 0.25) + 0.15m
⇒ 40 × 0.75 + 0.15m
⇒ 30 + 0.15m
Thus, The correct expression represents the situation is,
⇒ 30 + 0.15m
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