Final answer:
To find the inverse function of a given function, interchange x and F(x) and solve for x. The steps involve replacing F(x) with y, interchanging x and y, and then solving for y.
Explanation:
To find the inverse function of F(x) = (8 - 2x)², we need to switch the roles of x and F(x) and solve for x. Step by step:
Replace F(x) with y: y = (8 - 2x)²
Interchange x and y: x = (8 - 2y)²
Solve the resulting equation for y: y = 4 - √(x) / 2
The function F(x) = (8 - 2x)² does not have an inverse function because it's not one-to-one. Instead, for all x, the inverse is a constant function [tex]\( F^{-1}(x) = 4 \)[/tex].
To find the inverse function of F(x) = (8 - 2x)², we need to switch the roles of x and y and then solve for y. So, let's start by writing y instead of F(x):
y = (8 - 2x)²
Now, our goal is to solve this equation for x. First, we'll expand the expression:
y = (8 - 2x)(8 - 2x)
y = 64 - 16x - 16x + 4x²
y = 4x² - 32x + 64
Now, to find the inverse, we switch x and y and solve for y :
x = 4y² - 32y + 64
This is a quadratic equation in terms of y, so we need to solve it. To do that, we can use the quadratic formula:
[tex]\[ y = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} \][/tex]
where a = 4, b = -32, and c = 64. Plugging in these values:
[tex]\[ y = \frac{{32 \pm \sqrt{{(-32)^2 - 4(4)(64)}}}}{{2(4)}} \][/tex]
[tex]\[ y = \frac{{32 \pm \sqrt{{1024 - 1024}}}}{{8}} \][/tex]
[tex]\[ y = \frac{{32 \pm \sqrt{0}}}{{8}} \][/tex]
[tex]\[ y = \frac{{32 \pm 0}}{{8}} \][/tex]
[tex]\[ y = \frac{{32}}{{8}} \][/tex]
y = 4
So, the inverse function of F(x) is [tex]\( F^{-1}(x) = 4 \)[/tex].
This result suggests that the function F(x) is not one-to-one, meaning it doesn't have an inverse that's a function. Instead, it suggests that for every value of x, the function F(x) produces the same output, which is 4. Therefore, F(x) doesn't have a unique inverse function.
If a sector in a circle of radius 10 has an area of 5pi, what is the measure of the central angle that forms the sector?
Answer:
[tex]\frac{\pi }{10}[/tex]
Step-by-step explanation:
The area (A) of the sector is calculated using the formula
A = area of circle × fraction of circle
let x be the measure of the central angle, then
A = πr² × [tex]\frac{x}{2\pi }[/tex] ← substitute values
5π = π × 10² × [tex]\frac{x}{2\pi }[/tex]
5π = 100π × [tex]\frac{x}{2\pi }[/tex] (cancel 50π and 2π )
5π = 50x ( divide both sides by 50 )
x = [tex]\frac{5\pi }{50}[/tex] = [tex]\frac{\pi }{10}[/tex] ← central angle
Final answer:
The measure of the central angle that forms a sector with an area of 5π in a circle of radius 10 is 18 degrees.
Explanation:
To calculate the measure of the central angle that forms the sector of a circle with a radius of 10 units and an area of 5π, we need to use the formula for the area of a sector, which is A = (θ/2) × r², where A is the area of the sector, θ is the central angle in radians, and r is the radius of the circle.
First, let's substitute the given values into the formula:
Area (A) = 5πRadius (r) = 10Now, we can set up the equation:
5π = (θ/2) × 10²
5π = (θ/2) × 100
To find the central angle, we solve for θ:
θ = (2 × 5π) / 100
θ = 0.1π radians
To convert radians to degrees, we use the conversion factor that 180° = π radians:
θ in degrees = 0.1π × (180/π)
θ in degrees = 18°
Therefore, the measure of the central angle that forms the sector is 18 degrees.
Simplify the expression exactly. (18)(72)
The #'s in () are in that house thing
A. 6
B. (90)
C. 36
D. 1296
Answer:
i think its d
Step-by-step explanation:
because thats 18 times 72
Answer:
the answer is c i just answered this on usatestprep
Step-by-step explanation:
Pi (
€
π )
Approximate the number to the hundredth, ten-thousandths, and one-hundred-
millionth
Which description compares the domains of Function A and Function B correctly? Function A: f(x)=?3x+2
The domain of Function A, defined as f(x) = -3x + 2, is all real numbers, as it is a linear function with no restrictions on x-values. Function B's domain would depend on its specific definition but is also valid as long as each input maps to a unique output.
Explanation:The domains of Function A and Function B can be compared based on the definition of a function's domain. The domain is all the input values (x-values) for which a function is defined. Since Function A is defined as f(x) = -3x + 2, it is a linear function without any restrictions on the x values, meaning the domain of Function A is all real numbers.
The description of Function B isn't provided in the question, but from the referenced information, we can understand that Function B is also a function as long as each element of its domain maps to a unique value in its range.
Were we to have the specifics of Function B, we could determine if it also has a domain of all real numbers or whether it has a more restricted domain, such as when a function includes a square root or division by variables which would exclude certain x-values to avoid undefined expressions.
need help filling in the blanks.. (comparing depreciation methods.)
Answer:
Refer to step-by-step.
Step-by-step explanation:
Fixed Cost Per Deck = Total Fixed Cost/Estimated Deck Sales
Fixed Cost Per Deck = 85000/13000
Fixed Cost Per Deck = $7.08
Break Even Point in Units = Fixed Costs/ Sales Price per Unit - Variable Cost
Break Even Point in Units = 85000/11.95 - 3
Break Even Point in Units = 9497
Fixed Cost Per Deck = Total Fixed Cost/Estimated Deck Sales
Fixed Cost Per Deck = 85000/10000
Fixed Cost Per Deck = $8.50
Break Even Point in Units = Fixed Costs/ Sales Price per Unit - Variable Cost
Break Even Point in Units = 85000/12.95 - 3
Break Even Point in Units = 8543
Break Even Point in Units = Fixed Costs/ Sales Price per Unit - Variable Cost
Break Even Point in Units = 85000/13.45 - 3
Break Even Point in Units = 8134
1.Total Cost = Variable Cost/unit x Units Produced + Fixed cost
Total Cost = (3 x 13000) + 85000
Total Cost = 39000 + 85000
Total Cost = $124000
2.Total Cost = Variable Cost/unit x Units Produced + Fixed cost
Total Cost = (3 x 10000) + 85000
Total Cost = 30000 + 85000
Total Cost = $115000
3. $12.95 and $13.45.
Because the total cost is greater than the revenue.
Let's try at $12.95:
Revenue = 12.95 x 8000
Revenue = $103600
Total Cost = (3 x 8000) + 85000
Total Cost = 24000 + 85000
Total Cost = $109000
Profit = Revenue - Total Cost
Profit = 103600 - 109000
Profit = $-5400
Now at $13.45:
Revenue = 13.45 x 7000
Revenue = $94150
Total Cost = (3 x 7000) + 85000
Total Cost = 21000 + 85000
Total Cost = $106000
Profit = Revenue - Total Cost
Profit = 94150 - 106000
Profit = $-11850
4. The fixed costs to produce $13.45 decks is so much greater than the fixed costs to produce 10.95 due to the estimated deck sales.
similarities between finding the perimeter and area of a polygon with and without the coordinate plane
A Polygon is shape with straight sides and must be closed. Polygon sides never touch and are classified according to the number of its sides. So:
A Triangle is any polygon with exactly 3 sidesA Quadrilateral is any polygon with exactly 4 sides. A Pentagon is any polygon with exactly 5 sides. An Hexagon is any polygon with exactly 6 sides. A Heptagon is any polygon with exactly 7 sides. An Octagon is any polygon with exactly 8 sides. A Nonagon is any polygon with exactly 9 sides. Decagon is any polygon with exactly 10 sides.1. WITH THE COORDINATE PLANE:If you have the coordinate plane, there are several ways to calculate the perimeter and area. If the polygon meaning that every side must have the same length and every angle must have the same measure, you just need the coordinates of two points and by using the distance formula you can calculate the length of that side. Then you must multiply the number of sides by that distance and this is the perimeter, but if the polygon is irregular you must calculate the length of each side of the polygon using the distance formula and then make the sum. To compute the area, you must divide the entire polygon in triangles, rectangles, parallelograms, etc, and then calculating the area of each figure using the formulas known for each type of figure.
2. WITHOUT THE COORDINATE PLANE:If you don't have the coordinate plane, you need to have the length of each side to calculate the perimeter or each side should be calculated by using trigonometry and other mathematical skills. If the polygon is regular or is a known figure (trapezoid, parallelogram, triangle) you can use the formulas you know to compute the area of that figure. On the other hand, if the polygon is irregular you should divide the polygon in other simple figures and calculate each area and then making the sum.
_______________________
In conclusion, for both ways you need to have the length of each side to find the perimeter and can use well known formulas to find the area of the figure.
The kite is made of two triangles. Are they isoscele, equilateral, or scalene triangles?
A kite's symmetrical structure typically forms isosceles triangles due to equal side lengths. Asymmetrical kites generate scalene triangles with varying side lengths, influencing triangle types and angles within based on side intersections.
A kite, with its distinct shape formed by two pairs of adjacent congruent sides, generates triangles within. These triangles can exhibit various properties based on the kite's symmetry. If the kite is symmetrical, the triangles formed tend to be isosceles due to the equal side lengths.
However, asymmetrical kites can yield scalene triangles with sides of varying lengths. The relationship between the kite's structure and the triangle types arises from the lengths and intersections of its sides.
Symmetry tends to create similar or congruent triangles, while asymmetry leads to triangles with differing side lengths. Consequently, the angles within these triangles vary based on the intersection of the kite's sides, resulting in a mix of acute, obtuse, or right angles.
complete the question
What are the possible types of triangles formed within a kite, and how do their properties relate to the structure of the kite? Discuss the potential combinations of isosceles, equilateral, and scalene triangles within a kite, considering the lengths of the sides and the angles formed by the kite's structure."
Compute the value of the following expressions: 323 mod 5 323 div 5 −323 mod 5 −323 div 5 327 mod 3 (64 · (−67) + 201) mod 7 (〖38〗^12) mod 6 (〖38〗^12) mod 3
Answer:
323 mod 5 = 3
−323 mod 5 = -3
327 mod 3 = 0
(64 * (-67) + 201) mod 7 = 6
(38^12) mod 6 = 4
(38^12) mod 3 = 1
Step-by-step explanation:
The modulo operation looks for remainders from the quotients. In order to find them, divide the whole number by the mod number. Then take just the decimal after the whole answer and multiply it by the mod number.
323 mod 5
323/5 = 64.6
.6 * 5 = 3
−323 mod 5
323/5 = -64.6
-.6 * 5 = -3
327 mod 3
327/5 = 109
0 * 3 = 0
(64 * (-67) + 201) mod 7
64 * -67 = -4288 + 201 = 4087
4087/7 = 583.85714
.85714 * 7 = 6
(38^12) mod 6
38^12 = 9.07x10^18
9.07x10^18/6 = 1510956318082499242.6666667
.666667 * 6 = 4
(38^12) mod 3
38^12 = 9.07x10^18
9.07x10^18/3 = 3021912636164998485.333333
.3333333 * 3 = 1
323 mod 5 = 3
−323 mod 5 = -3
327 mod 3 = 0
(64 * (-67) + 201) mod 7 = 6
(38^12) mod 6 = 4
(38^12) mod 3 = 1
Step-by-step explanation:
The modulo operation looks for remainders from the quotients. In order to find them, divide the whole number by the mod number. Then take just the decimal after the whole answer and multiply it by the mod number.
323 mod 5
323/5 = 64.6
.6 * 5 = 3
−323 mod 5
323/5 = -64.6
-.6 * 5 = -3
327 mod 3
327/5 = 109
0 * 3 = 0
(64 * (-67) + 201) mod 7
64 * -67 = -4288 + 201 = 4087
4087/7 = 583.85714
.85714 * 7 = 6
(38^12) mod 6
38^12 = 9.07x10^18
9.07x10^18/6 = 1510956318082499242.6666667
.666667 * 6 = 4
(38^12) mod 3
38^12 = 9.07x10^18
9.07x10^18/3 = 3021912636164998485.333333
.3333333 * 3 = 1
Searches related to A polygon with congruent angles and congruent sides is called a ______ polygon.
Answer:
Regular
Step-by-step explanation:
A polygon with congruent sides and angles is a regular polygon, with an equilateral triangle or a square as an example. A 3D shape example is an icosahedron with 20 regular triangular faces.
Explanation:A polygon with congruent angles and congruent sides is called a regular polygon. This means that all its sides and angles are equal in measure. An example of a regular polygon is an equilateral triangle which has all three sides of equal length and all three angles 60 degrees each, or a square that has four sides of equal length and four angles each 90 degrees.
An example provided is an icosahedron which is a regular polyhedron (a 3D shape) with 20 identical equilateral triangular faces. Every face is a regular polygon, showing that all its 20 faces have congruent angles and sides.
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Oliver has 5 pieces of string that are each
4
2
12
feet long. Destiny has 4 pieces of string that are each
5
14
16
feet long. Use an estimation strategy to determine who has the most string. Choose the name and number to complete the statement.
is estimated to have more feet of string.
So to estimate, I would look at each set of numbers and determine which ones have higher numbers. For example in the first set the highest I see is 12x5=60
In the second set I see 14 AND 16 automatic telling me to estimate that Destiny has more using 14x4=56, but keeping in mind there is a 16 as well...
A tangent to a circle at point A is given, and point A is an endpoint of a chord, which is the same length as radius of the circle. What is the measure of angle between the tangent and the chord?
PLS HELP SQDANCEFAN!!!!! I NEED HELP I DON'T GET IT :((((
Answer:
30°
Step-by-step explanation:
Call the other end of the chord point B and the center of the circle point O. Then triangle AOB is an equilateral triangle, since OA = OB = AB.
Angle OAB is the internal angle of that triangle, so is 60°. Since OA is perpendicular to the tangent line (makes an angle of 90°), The angle between the tangent line and the chord must be ...
90° - 60° = 30°
___
The other way you know this is that central angle AOB is 60°, and the tangent-to-chord angle is half that, or 30°.
_____
One way to remember the angle relationship between a tangent line and a chord is this:
Consider a point C on long arc AB. The measure of inscribed angle ACB is half the measure of central angle AOB, no matter where C is on the circle. (If C happens to be on the short arc AB, then central angle AOB is a reflex angle, but the relationship still holds.) Consider what happens when C approaches A. The angle at vertex C is still the same: 1/2 the measure of central angle AOB. This remains true even in the limit when points A and C become coincident and line AC is a tangent at point A.
A 15-foot flagpole leans slightly, such that it makes an 80° angle with the ground. The shadow of the flagpole is 10 feet long when the sun has an unknown angle of elevation. How could the angle of elevation of the sun, x, be determined?
Answer: 48°
Step-by-step explanation:
The shadow is the adjacent side and the length of the flag is the hypotenuse
[tex]cos\ \theta=\dfrac{adjacent}{hypotenuse}\\\\\\cos\ \theta=\dfrac{10}{15}\\\\\\cos^{-1}(cos\ \theta)=cos^{-1}\bigg(\dfrac{10}{15}\bigg)\\\\\\.\qquad \qquad \boxed{\theta=48^o}[/tex]
Answer: a
Step-by-step explanation: edge 2021
What is the domain of the function below
F(x)=(52)(47)^(x-4)
Answer:
[tex]\large\boxed{x\in\mathbb{R}}[/tex]
Step-by-step explanation:
[tex]f(x)=(52)(47)^{x-4}[/tex]
It's an exponential function.
The domain of an exponential function is the set of all real numbers.
anaya was the state track champion for all four years of high school. She likely received a(n) ______ scholarship.
gender
job-related
academic
athletic
Ramon was a straight-A student in high school. He likely received a(n) _______ scholarship.
ethnic minority/ancestry
academic
athletic
gender
Hey there!
#1 The correct choice is D. Athletic
Anaya was the state track champion for all four years of high school. She likely received a(n) ATHLETIC scholarship.
#2 The correct choice is B. Academic
Ramon was a straight-A student in high school. He likely received a(n) ACADEMIC scholarship.
Hope this helps you!
God bless ❤️
Brainliest would be appreciated
xXxGolferGirlxXx
What is the domain of the function f(x)= e^x/e^x+c if c is a constant greater than 0
Answer: Option d.
Step-by-step explanation:
To find the domain of the function we should look for the values for which the denominator is equal to zero, because the division by zero is not allowed.
We know by definition that the function [tex]e^x[/tex] is always greater than zero for all x.
We know that the constant c is greater than zero (c>0).
Then, the expression [tex]e^x+c[/tex] is never equal to zero.
Therefore, it does not exist a value for x that makes the denominator 0. Then, the domain of the function is all real numbers.
The answer is the option d.
What is the sum of the first eight terms of the series?
(−800)+(−200)+(−50)+(−12.5)+...
Round the answer to two decimal places.
−1066.68
−1066.65
−1066.60
−1062.50
Answer:
-1066.65 to 2 decimal places.
Step-by-step explanation:
(−800)+(−200)+(−50)+(−12.5)+...
This is a Geometric series with common ratio r =(-200) / ) / (-800) = 0.25 and first term a1 = -800.
Sum of n terms = a1 * (1 - r^n) / (1 - r)
Sum of 8 terms = -800 * (1 - 0.25^8) / (1 - 0.25)
= -800 * 1.333313
= -1066.65.
The sum of the first eight terms of the geometric sequence is given by: −1066.65
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
The sum of the first n terms is given by:
[tex]S_n = \frac{a_1(r^n - 1)}{r - 1}[/tex]
In this problem, we have that the first term and the common ratio are, respectively:
[tex]a_1 = -800, q = \frac{-200}{-800} = 0.25[/tex]
Hence, the sum of the first eight terms is given by:
[tex]S_n = \frac{-800(0.25^8 - 1)}{0.25 - 1 } = −1066.65[/tex]
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Solve the linear equation
[tex](\frac{16}{9})^{-2x+5} = (\frac{3}{4})^{x-7}[/tex]
Graph both equations and find the X value when the lines cross.
See attached picture of the graph
X = 1
Or you could take logarithms of both sides where log(a^b) = b loga to also find the value of x.
Answer:
x = 1
Step-by-step explanation:
Given in the question,
[tex](16/9)^{-2x+5} = (3/4)^{(x-7)}[/tex]
Take logarithm on both sides
[tex]ln(16/9)^{-2x+5} = ln(3/4)^{(x-7)}[/tex]
Apply power rule of logarithm
(-2x+5)ln(16/9) = (x-7)ln(3/4)
cross multiply
(-2x+5)/(x-7) = [tex]\frac{ln(3/4)}{ln(16/9)}[/tex]
-1/2 = (-2x+5)/(x-7)
-(x-7) = 2(-2x+5)
-x + 7 = -4x + 10
rearrange the terms, x terms to left and constant to right
-x + 4x = 10 - 7
3x = 3
x = 1
please help! will give brainliest!
What is the unknown scale size?
Enter your answer as a decimal in the box. Round only your final answer to the nearest thousandth.
Using the two smallest sizes divide the larger of the two by the smaller one:
1 / 0.618 = 1.618
The scale factor is 1.618
Now multiply 1 by that:
1 x 1.618 = 1.618
The missing font size is 1.618.
Can check by multiplying the missing size by the scale factor:
1.618 x 1.618 = 2.618
Answer:
1.618
I hope this helps.
Please help 30 points Asap
40 units2˛
Looking at the figure, the rectangle has the vertexes (2,1), (3,-3), (-5,-5) and (-6,-1). The parallelogram has the vertexes (2,7), (3,3), (3,-3), and (2,1).
The area of a parallelogram is base times height. We have 2 vertical lines at x=2 and x=3, so the height is 1. And the length of the line from (3,3) to (3,-3) is 6, so the base is 6. Therefore the area of the parallelogram is 1*6 = 6.
The rectangle is a tad trickier since it's not aligned with either the x or y axis. But we can use the Pythagorean theorem to get the lengths.
L = sqrt((2 - -6)^2 + (1 - -1)^2)
L = sqrt(8^2 + 2^2)
L = sqrt(64 + 4)
L = sqrt(68) = 2*sqrt(17)
W = sqrt((2-3)^2 + (1- -3)^2)
W = sqrt((-1)^2 + 4^2)
W = sqrt(1 + 16)
W = sqrt(17)
And the area is length * width, so:
2*sqrt(17)*sqrt(17) = 2 * 17 = 34
And the total area is the sum of the areas, so
34 + 6 = 40
So the area of the figure is 40 square units.
Answer:
40 units ^2
Step-by-step explanation:
when finding an odd shaped figure, make sure to divide it up into porportions. Then figure out the square and then the triangles.
the answer would be: 40 units ^2
hope this helps!!
What is the value of f(?3) +f(7) f(-3) +f(7) when f(x)=?3x+9 f(x)=-3x+9 ? 18 6 -6 -12
Answer:
The correct answer is 6.
Step-by-step explanation:
To find this, first find f(-3)
f(x) = -3x + 9
f(-3) = -3(-3) + 9
f(-3) = 9 + 9
f(-3) = 18
Now we do the same for f(7)
f(x) = -3x + 9
f(7) = -3(7) + 9
f(7) = -21 + 9
f(7) = -12
Now we add them together
18 + -12 = 6
The value of f(?3) + f(7) - f(-3) + f(7) is -24.
Explanation:To find the Value of f(?3) + f(7) - f(-3) + f(7), we need to substitute the given values into the function f(x) = -3x + 9.
Substituting -3 for x, we get f(?3) = -3(-3) + 9 = 18.
Substituting 7 for x, we get f(7) = -3(7) + 9 = -12.
Substituting -3 for x and adding the results, we get f(-3) = -3(-3) + 9 = 18.
Substituting 7 for x, we get f(7) = -3(7) + 9 = -12.
Now, let's calculate the Value of the expression:
f(?3) + f(7) - f(-3) + f(7) = 18 + (-12) - 18 + (-12) = -24
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A cone with a radius 2 units is shown below. Its volume is 29 cubic units. Find the height of the cone
Answer:
The height of the cone is [tex]6.9\ units[/tex]
Step-by-step explanation:
we know that
The volume of the cone is equal to
[tex]V=\frac{1}{3}Bh[/tex]
where
B is the area of the circular base of the cone
h is the height of the cone
In this problem we have
[tex]V=29\ units^{3}[/tex]
[tex]r=2\ units[/tex]
Find the area of the base B
[tex]B=\pi r^{2}[/tex]
substitute the value of r
[tex]B=\pi (2)^{2}=4 \pi\ units^{2}[/tex]
Find the height of the cone
[tex]29=\frac{1}{3}(4 \pi)h[/tex]
[tex]h=29*3/(4 \pi)[/tex]
assume [tex]\pi=3.14[/tex]
[tex]h=29*3/(4*3.14)=6.9\ units[/tex]
A carpenter has a board 18 1/2 feet long. He needs to cut as many 1 3/4 feet long pieces as possible. How many pieces can the carpenter cut? Explain how you found your answer.
So you know that the carpenter has a board that is 18.5ft long and he wants to cut 1.75ft pieces.
Assume that x is the amount of boards he cuts,
1.75x = 18.5
Isolate x by dividing each side by 1.75.
x = 18.5/1.75 = 10.57 pieces.
Find the point, M, that divides segment AB into a ratio of 2:3 if A is at (0, 15) and B is at (20, 0). A) (8, 9) B) (9, 9) C) (9, 12) Eliminate D) (8, 12)
ANSWER
A. (8,9)
EXPLANATION
The point that divides,
[tex]A(x_1,y_1), B(x_2,y_2)[/tex]
in the ratio m:n is given by
[tex]x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex]y= \frac{my_2 + ny_1}{m + n} [/tex]
The given points are A(0,15) B(20,0)
the ratio is 2:3.
This implies that, m=2,n=3.
[tex]x_1=0,x_2=20,y_1=15,y_2=0[/tex]
We plug in the values to get:
[tex]x = \frac{2 \times 20 + 3 \times 0}{2+ 3} [/tex]
[tex]x = \frac{40}{5} = 8[/tex]
[tex]y= \frac{2 \times 0 + 3 \times 15}{2+ 3} [/tex]
[tex]y= \frac{45}{5} = 9[/tex]
Hence the required point is
(8,9)
The correct answer is A.
Please help! I give brainliest!
Answer:the answer is c I literally just took this lol can I get brainliest pls
Step-by-step explanation:it would be helpful and my first
Carrie can print 24 photos in 8 minutes.At this rate, how many can she print in 3 minutes
[tex]24 \div 8 = 3 \: photos \: in \: 1 \: minute[/tex]
[tex]3 \: photos \: per \: 1 \: minute\: \times 3 \: minutes \: \\ = 9 \: photos \: per \: 3 \: minutes[/tex]
9 photos
What basic trigonometric identity would you use to verify that sinx + 1/ sinx = 1+ cscx
Answer:
C) We use csc = [tex]\frac{1}{sinx}[/tex] to verify.
Step-by-step explanation:
Given : [tex]\frac{sinx+ 1}{sinx}[/tex] = 1 +csc x.
To find : What basic trigonometric identity would you use to verify.
Solution : We have given that [tex]\frac{sinx+ 1}{sinx}[/tex] = 1 +csc x.
To verify we need to show left hand side equal to right hand side.
For right hand side
1 +csc x
By csc = [tex]\frac{1}{sinx}[/tex].
Plug the value csc = [tex]\frac{1}{sinx}[/tex].
1 + [tex]\frac{1}{sinx}[/tex].
Taking least common multiple
[tex]\frac{sinx +1}{sinx}[/tex] = left hand side.
We can see this is equal to left hand side
Hence , left hand side = right hand side.
Therefore, C) We use csc = [tex]\frac{1}{sinx}[/tex] to verify.
Patrick is buying a new pair of shoes. The expression shown below represents the sales tax on the price of the shoes,s. 0.06s By what number can Patrick multiply the price of the shoes, s, to determine the total amount he will need to pay for them including the tax?
Answer: 1.06
Step-by-step explanation:
This is the answer because the price of the shoes is s, and the tax is 0.06s. The total cost of the shoes with tax is s+0.06s= 1.06s
Answer:
Your answer is 1.06
Step-by-step explanation:
In what quadrant of the coordinate plane is the graph of the direct proportion located which is parallel to the graph, expressed by the formula:
Note: Please answer both questions in the same format (The direct proportion is ____. The graph is located on quadrants ___ and ___.).
Answer:
Part 1) The direct proportion is [tex]y=0.8x[/tex]. The graph is located on quadrants I and III
Part 2) The direct proportion is [tex]y=-0.4x[/tex]. The graph is located on quadrants II and IV
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Part 1) we have
[tex]y=0.8x-1.6[/tex]
Remember that
If two lines are parallel, then their slopes are the same
In this problem, the slope of the given line is [tex]m=0.8[/tex]
therefore
The direct proportion is [tex]y=0.8x[/tex]
The graph is located on quadrants I and III
see the attached figure to better understand the problem
Part 2) we have
[tex]y=-0.4+1[/tex]
Remember that
If two lines are parallel, then their slopes are the same
In this problem, the slope of the given line is [tex]m=-0.4[/tex]
therefore
The direct proportion is [tex]y=-0.4x[/tex]
The graph is located on quadrants II and IV
see the attached figure to better understand the problem
True or false (picture provided)
Answer:
True
Step-by-step explanation:
we know that
A non-negative number is a real number greater than or equal to zero
In this problem
we have
[tex]x\geq 0[/tex]
The solution of the inequality is all real numbers greater than or equal to zero [0,∞)
Therefore
[tex]x\geq 0[/tex] express a non-negative number in symbols
What is the perimeter of this rectangle? Rectangle labeled 17 kilometers by 4 kilometers. Km
Answer:
I think the answer would be 42 Km.
Step-by-step explanation:
So i multiplied 17 x 2 which is 34, and then i multiplied 4 x 2 which is 8 . Then I added 34 + 8 and got 42. So 42Km