Answers
Given:
There are given the trigonometric function:
\(\begin{gathered} \lparen a):f\mleft(x\mright)=-3sin3x \\ \left(b\right):f\mleft(x\mright)=sin(\frac{1}{3}x) \\ (c):f(x)=\frac{1}{4}cos(0.5x) \end{gathered}\)Explanation:
From the equation (a):
The amplitude is defined when displacement or distance is moved by a point from the equilibrium position.
So,
\(\begin{gathered} amplitude:3 \\ period:\frac{2\pi}{3} \\ range:\left\lbrack-3,3\right\rbrack \end{gathered}\)From the function (b):
\(\begin{gathered} f\mleft(x\mright)=sin\lparen\frac{1}{3}x) \\ amplitude:1 \\ period:6\pi \\ range:\left\lbrack-1,1\right\rbrack \end{gathered}\)And,
From the function (c):
\(\begin{gathered} f\mleft(x\mright)=\frac{1}{4}cos\left(0.5x\right) \\ amplitude:\frac{1}{4} \\ period:12.566 \\ range:\left\lbrack-\frac{1}{4},\frac{1}{4}\right? \end{gathered}\)
Related Questions
(X+3) (x+4)
Multiplying binomials
Answers
x^2+4x+3x+12
x^2+7x+12
Find sin 0 a.8/15 b.8/17 c.15/8 d.15/17
Answers
Answer:
d.
Step-by-step explanation:
tan Ф = opp. / adj. = 15/8
hyp = √(8²+15²) = √289 = 17
sin Ф = opp./ hyp = 15/ 17
Mike bought 46 dozen eggs from the grocery store to bake some cakes how many eggs did mike buy
Answers
Answer:
552 eggs
Step-by-step explanation:
A dozen is equal to 12
Solve:
Multiply 46 by 12
can someone please solve and explain how you got your answer, WILL GIVE BRAINLIEST!!!
Answers
Answer:
A, graph 4, S(0, 9)B, graph 3, R(9, 0)C, graph 1, P(3, 9)D, graph 2, Q(-3, 0)Step-by-step explanation:
You want to identify the graphs that go with each of these functions, along with a particular point on the curve.
y = x² +3x +9y = (x +3)(x -9)y = (x -3)² +9y = -(x -9)(x +3)Quadratic features of interestThe equations are written here in standard form, factored form, and vertex form. (The "factored form" is sometimes called "intercept form.") Each of these forms can be analyzed for characteristics relevant to identifying the corresponding graph.
In general, we can readily identify the opening direction, based on the sign of the leading coefficient. Depending on the form, we can also identify zeros, the vertex, and the y-intercept.
Standard formThe line of symmetry (x-coordinate of the vertex) of the equation in the form ax² +bx +c is x = -b/(2a). That is, it will be left of the y-axis when the coefficients 'a' and 'b' have the same sign.
The graph of equation A will be graph 4, the only one with its vertex left of the y-axis. The y-intercept is the constant: point S = (0, 9).
Factored formEquation B has a positive leading coefficient, so opens upward. The zeros of the factors are -3 and +9, so identify the places where the graph crosses the x-axis. Graph 3 is the only one that opens upward and has x-intercepts. Point R is (9, 0).
Vertex formThe vertex form of a quadratic is ...
y = a(x -h)² +k . . . . . . . vertex (h, k); leading coefficient 'a'
Equation C has its vertex at (h, k) = (3, 9) and opens upward (a>0). Graph 1 is the only one matching those characteristics. Point P is the vertex, so point P is (3, 9).
Leading coefficientEquation D is the same as equation B, but with a negative leading coefficient. That is, it opens downward and crosses the x-axis in two places, at x = -3 and x = 9. Graph 2 is matches this description. The left zero is point Q, (-3, 0).
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Three security cameras were mounted at the corners of a triangular parking lot. Camera I was 132 ft from
camera 2, which was 150 ft from Camera 3. Cameras 1 and 3 were 102 ft apart. Which lcamera had to cover
the greatest angle?
Answers
Answer:
Camera I (camera I is across from the longest side: 150 ft)
Step-by-step explanation:
If Gloria were to paint her living room alone, it would take 6
hours. Her sister Sarah could do the job in 7
hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.
Answers
Together, they paint 1/4 + 1/7 per hour.
The formula is
1/A +1/B = 1/C
where A is the time for person 1 to do the job alone
B is the time for person B to do the job alone
C is the time for them to do the job together
1/6 + 1/7 = 1/C
The common denominator is 42C so multiply each side by 42C
42 C*(1/6 + 1/7) = 1/C *42C
Distribute
7C +6C = 42
13 C = 42
Divide each side by 13
C = 42/13
Changing to a mixed number
C = 3 3/13 hours
Together, they paint 1/4 + 1/7 per hour.
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This is what the new and original figures are when a dilation occurs. This is for a crossword puzzle with 14 spaces. please answer this correctly. 20 points worth
Answers
Answer:
the 6th option is yore answer! hope this helps:))
Antonio buys a 10-pound bag of potatoes for $3.98. To the nearest cent, how much is 1 pound of potatoes?
A
$3.88
B.
$1.38
C
$0.40
D
$0.04
Answers
Answer:
C $0.40
Step-by-step explanation:
to find how much one pound of potatoes is, you have to divide the the cost of the bad by the number of pounds ($3.98 divided by 10 pounds)
$3.98 : 10 = $0.398 = $0.40
y=mx+b example; y=mx+b calculator; writing linear equations in slope-intercept form answer key; write equation in slope intercept form calculator; standard form equation; slope-intercept form examples; point slope form calculator; how to find the y-intercept
Answers
1) The Point-Slope Formula (y – y1) = m(x – x1)
2) The Slope-Intercept Formula y = mx + b
linear equations in slope-intercept :
To determine the equation of a line, you may use two variations of the general form of a line.
These formulas are:
1) The Point-Slope Formula (y – y1) = m(x – x1)
2) The Slope-Intercept Formula y = mx + b
standard form equationThe standard form of a linear equation, also known as the “general form“, is:
ax+by=c
The letters aa, bb, and cc are all coefficients. When using standard form, aa, bb, and cc are all replaced with real numbers. The letter x represents the independent variable and the letter y represents the dependent variable.
A few notes on Standard Form:
The a term must be a positive integera ,b, and cc cannot be decimals or fractionshow to find the y-interceptLet us now determine the y-intercept. Remember, this is where the line crosses the y-axis and where x=0 To do so, we will substitute 0 for x
3y-5x=30
3y-5(0)=30
3y=30
y=10
Therefore, the y-intercept is at 10. This means the point (0,10) is on the graph.
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You deposit $300 in an account that pays 1.48% annual interest. What is the balance after 1 year if the interest is compounded daily?
A. $368.57
B. $304,47
C. $301.48
D. $301.01
Answers
Answer:C. $301.48
Step-by-step explanation:
Please solve this with clear steps!!!!! 20 POINTS
Answers
The width of the river using the similar triangle is 43.3 metres.
How to find the width of the river?The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.
Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Hence, let's find the width of the river.
Therefore,
18.6 / 34.2 = AB / 79.6
cross multiply
18.6 × 79.6 = 34.2 AB
34.2 AB = 1480.56
divide both sides of the equation by 34.2
AB = 1480.56 / 34.2
AB = 43.2912280702
AB = 43.3 metres
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What is the equation of the line that passes through the point (-6,8) and has a slope of -5/3? Please show step by step solution,
Answers
Answer:
The equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.
Step-by-step explanation:
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
We have the point (-6,8) and a slope of -5/3.
Step 1: Use the point-slope formula to find the equation of the line in point-slope form.
y - y1 = m(x - x1)
where x1 and y1 are the coordinates of the given point.
y - 8 = (-5/3)(x - (-6))
Simplify this equation:
y - 8 = (-5/3)(x + 6)
Step 2: Convert the equation to slope-intercept form.
Distribute (-5/3) to get:
y - 8 = (-5/3)x - 10
Add 8 to both sides:
y = (-5/3)x - 2
This is the equation of the line in slope-intercept form. Therefore, the equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.
Find the measure of the exterior angle.
Answers
Answer:
125
Step-by-step explanation:
the anterior angle is 55
the exterior angle =180 - 55 = 125
Recall that with base-ten blocks: 1 long 10 units, 1 flat 10 longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?
a. 20 longs in base seven
b. 10 longs in base three
Answers
a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.
In base seven, we have the following conversions:
1 long = 1 unit
1 flat = 10 units
1 block = 10 flats
To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.
So, the fewest number of multibase blocks required would be 2 flats.
Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.
In base three, we have the following conversions:
1 long = 1 unit
1 flat = 3 units
1 block = 3 flats
To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.
So, the fewest number of multibase blocks required would be 3 flats and 1 unit.
Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
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If f(x) = 2x2 + 7, find f(-3) =
What’s the f(-3)
Answers
Answer:
replace the x with -3
Step-by-step explanation:
if you ever have f(x) = 'insert equation' and then it says find f('insert number'), you replace what ever variable is after the first 'f' with the number after the second 'f'. hope this helped!
43
Step by step:
f(x)=2x^2+7
f(3)=2(3)^2+7
f(3)=6^2+7
f(3)=36+7
f(3)=43
Here is a trapezium drawn on a centimetre grid (not drawn to scale).
Work out the area of the trapezium, stating the units of your answer.
Answers
Answer:
Step-by-step explanation:
equation
area(base1 + base2)
A special drill is used at a construction site to dig holes. A hole is dug to a depth of 2.75 feet when the drill hits rock. The progress slows to 5/6 feet per hour of digging. The depth of the hole must be at least 10 1/2 feet by the end of the day to stay on schedule. What is the minimum amount of time the drill must continue at its present rate to complete the hole on schedule? Select from the drop-down menus to correctly complete the statement.
Answers
Answer:
9.3 hrs to finish
Step-by-step explanation:
(10.5 - 2.75)ft / (5/6 ft/hr) = 9.3 hrs to go
A jar of marbles contains 120 marbles the larger jar of marbles contains one and 56 times as many marbles how many marbles are in the larger jar
Answers
solve include real and non real solutions.
x^2-8=0
Answers
Answer:
\(x=+2\sqrt{2} and-2\sqrt{2}\)
Step-by-step explanation:
\(x^2-8=0\)
\(x^2=8\)
\(\sqrt{x^2} = \sqrt{8}\)
\(x=2\sqrt{2}\)
plus or minus
The total cost for 22 gallons of gas is $68.30. How many dollars per gallon of gas did you spend?
Answers
Answer:
$3.10 per gallon
Step-by-step explanation:
Take the total cost and divide by the number of gallons
68.30/22
3.1045454545
Round to the nearest cent
$3.10 per gallon
Answer:
$3.10 per gallon
Step-by-step explanation:
You just have to divide $68.30 by 22. (And round)
$68.30 divided by 22 = 3.10
So, you answer will be 3.10
= $3.10 per gallonHope this helps! And happy Halloween x-x
^w^
-50 + 5/13p. When p = -26
Answers
The value of the given expression, -50 + 5/13p, when p = -26 is -60
Evaluating an expressionFrom the question, we are to evaluate the given expression for the given value of p
The given expression is
-50 + 5/13p
and
The given value of p is p = - 26
Substitute the given value of p into the given expression
That is,
-50 + 5/13p
When p = -26, the expression becomes
-50 + 5/13(-26)
Simplify
-50 + 5(-2)
-50 - 10
= - 60
Hence, the value of the expression is -60
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Why do some people say pure mathematics is beautiful, and what are some examples of this beauty?
take the points, no answer.
Answers
Answer:
Because knowledge is beautyyyy
Step-by-step explanation:
solve the equation x/5+x/4=1
Answers
Answer:
exact form: x=20/9
decimal Form: x=2.222...
Step-by-step explanation:
Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is
shown:
RS = √(-4) (-3))² + (7 − 5)²
= √(-1)² + (2)²
= √1 + 4
= √5
-
What error, if any, did Heather make?
A. She substituted incorrectly into the distance formula.
B. She subtracted the coordinates instead of adding them.
C. She made a sign error when simplifying inside the radical.
OD. She made no errors.
Answers
The distance between points R and S is \(\sqrt{ (185)\). The correct answer is D. She made no errors.
Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:
RS = √(-4) (-3))² + (7 − 5)²
= √(-1)² + (2)²= √1 + 4
= √5
The error is with the order of subtraction in the formula for the distance between two points.
Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.
The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;
dAB = \(\sqrt{ ((x^2 - x1)^2 + (y2 - y1)^2)\)
Comparing the given question with the formula above, we have;
A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.
Therefore, we have;
RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)
On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS
= \(\sqrt{ (8^2 + 11^2)RS\)
= \(\sqrt{ (64 + 121)RS\)
= \(\sqrt{ (185)\)
Therefore, the distance between points R and S is \(\sqrt{ (185)\).
From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.
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Suppose x=18,y=24, and z=30 in the figure, which is not drawn to scale. Determine the following values. Enter exact answers (as fractions), not decimal approximations. (e.g., enter 1/2 not 0.5)
cos(θ)=
sin(θ)=
tan(θ)=
cos(ϕ)=
sin(ϕ)=
tan(ϕ)=
Answers
Answer:
See explanation
Step-by-step explanation:
cos(θ)= 18/30 = 3/5
sin(θ)= 24/30 = 4/5
tan(θ)= 24/18 = 4/3
cos(ϕ)= 24/30 = 4/5
sin(ϕ)= 18/30 = 3/5
tan(ϕ)= 18/24 = 3/4
The value of the trigonometric ratios have been determined.
What are Trigonometric Ratios ?In a Right angled triangle , the trigonometric ratios are used to determine the value of angles and sides.
The side length of the triangle as given in the figure is 18 , 24 , 30
The value of the trigonometric ratios are
cos θ = Base / Hypotenuse
sin θ = Perpendicular / hypotenuse
tan θ = Perpendicular / Base
cos(θ)= 18/30 = 3/5
sin(θ)= 24/30 = 4/5
tan(θ)= 24/18 = 4/3
cos(ϕ)= 24/30 = 4/5
sin(ϕ)= 18/30 = 3/5
tan(ϕ)= 18/24 = 3/4
Therefore the value of the trigonometric ratios have been determined.
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Values of the Born exponents for Rb+ and l-are 10 and 12, respectively. The Born exponent for Rbl is therefore: O A. 2 O B.22 C. 1/11 OD. 11
Answers
The Born exponent or interatomic potential energy for Rbl is 11 ( approximately). The correct option is D).
The Born exponent for RbI can be calculated using the relationship between the Born exponent and the interionic distance. The Born exponent is defined as the ratio of the repulsive to attractive contributions to the interatomic potential energy, and it depends on the charges and sizes of the ions.
For Rb+ and I-, the Born exponents are 10 and 12, respectively. This means that the repulsive interaction between Rb+ and I- is weaker than the attractive interaction, as the repulsion is proportional to Rb+^10 and the attraction is proportional to I^-12. Therefore, the attractive interaction dominates.
For RbI, we can use the relationship between the Born exponent and the interionic distance to calculate the Born exponent. This relationship is given by:
B = (1/d) * ln[(l1 + l2)/|l1 - l2|]
where B is the Born exponent, d is the interionic distance, and l1 and l2 are the ionic radii of the cation and anion, respectively.
Assuming the ionic radii of Rb+ and I- are additive, we have:
l1 + l2 = l(RbI) = l(Rb+) + l(I-) = 1.52 + 1.81 = 3.33 Å
|l1 - l2| = |l(Rb+) - l(I-)| = |1.52 - 1.81| = 0.29 Å
Substituting these values into the equation for B, we get:
B = (1/d) * ln[(l1 + l2)/|l1 - l2|] = (1/d) * ln[3.33/0.29] ≈ 11.02
Therefore, the Born exponent for RbI is approximately 11.02.
The correct answer is D).
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77 is the product of 7 and diego's height use the variable d to represent diego';s height
Answers
Diego's height is 7 units
How to determine Diego's height?The statement is given as:
77 is the product of 7 and Diego's height
This means that:
77 = 7 * d
Divide both sides by 7
d = 11
Hence, Diego's height is 7 units
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A 12 oz box of sugar costs $3.10 and a 36 oz box of sugar costs $7.90. Which box of sugar is the better buy?
Answers
Answer: 36 oz box
Step-by-step explanation:
3.1/12=0.258333
7.9/360.291444
Thus, the 36 oz box is the better buy
URGENT HURRY ILL MAKE YOU BRAINIEST IF YOU ANWSER. Mae ling earns a weekly salary of $375 plus a 7.5 commission on sales at a gift shop how much would she make in a work week if she sold 4,600 worth of merchandise
Answers
Answer:
I think the answer is 720!
Step-by-step explanation:
P X 25 T S R 35 1.1 O is the centre of the circle. x,y and zi sides of AOPR. Find with reasons the values 1.1.1 X 1.1.2 Z 1.1.3 Y (2) (4) (1) a icate the lengths of the of the following:
Answers
Based on Pythagorean's theorem, the lengths of the sides of △OPR are:
x = 35 units.
y = 55 units.
z = 30 units.
What is a perpendicular bisector?In Mathematics and Geometry, a perpendicular bisector is a line that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.
Since line segment OS bisects line segment PQ, we have the following:
x = QR = 35 units.
y = z + 25
By applying Pythagorean's theorem, we have the following:
x² + z² = y²
(z + 25)² = 35² + z²
z² + 50z + 625 = 1,225 + z²
50z = 1,225 - 625
50z = 600
z = 600/50
z = 30 units.
y = z + 25
y = 30 + 25
y = 55 units.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Complete Question:
O is the centre of the circle. x, y, and z indicate the lengths of the sides of △OPR. Find with reasons the values of the following:
1.1.1 x
1.1.2 z
1.1.3 y
