3 is the amplitude, -4 is the minimum value, and 2 is the highest value.
What is amplitude?A function's amplitude is the distance that the graph of the function moves above and below its midline. The value of the amplitude when graphing a sine function is comparable to the value of the sine coefficient.the height difference between a periodic function's center line and peak (or trough).As an alternative, we might multiply the height from highest to lowest points by 2.the greatest deviation from equilibrium of a point on a vibrating body or wave in terms of displacement or distance traveled.
acc to our question-
Sin x is changed to sin 2x to modify the function's period from 2 πThe amplitude varies from 1 to 3, with a minimum value of -3 and a maximum value of 3, when sin 2x is substituted with 3 sin 2x.Then we translate 1 unit down by changing 3 sin 2x to 3 sin 2x - 1. Currently, the amplitude is 3, the period is, the minimum value is, the greatest value is, and the value in between is 2.Hence,3 is the amplitude, -4 is the minimum value, and 2 is the highest value
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20 POINTS WILL MARK UR ANSWER THE BEST
Please help me solve this ASAP
can u also make sure there is a graph
Answer: The solution to this system is (1,3) as shown in the graph below.
Step-by-step explanation:
Remember to vote for this as Brainliest if I earned it! :)
NOTE: The red line is -x+y=2 and the blue line is y=3
Answer:
(x, y) = (1, 3)
Step-by-step explanation:
The volume of the triangular prism is 12.5 m³. The length is 2.5 m and the base is 2 m. What is the width?
Answer:
(4) 5 m
Step-by-step explanation:
You want the length of side x of a right triangular prism with base edge lengths of 2.5 m and 2 m, and a volume of 12.5 m³.
VolumeThe volume of the prism is given by the formula ...
V = Bh
where B is the area of the base:
B = 1/2bh . . . . where b and h are the leg dimensions of the right triangle
Using these formulas together, we have ...
V = 1/2(2.5 m)(2 m)x
12.5 m³ = 2.5x m²
Dividing by 2.5 m², we find x to be ...
(12.5 m³)/(2.5 m²) = x = 5 m
The dimension labeled x has length 5 meters.
-2/5 + -2/5 i just need this thank you
Answer:
The answer would be -4/5
Step-by-step explanation:
When you add a negative to a negative, you first take out the plus sign and rewrite it as: -2/5 - 2/5.
Now you just simply subtract 2/5 from -2/5 to get -4/5.
Hope this helps.
Please give brainliest
Paula bought p packages of 5 rolls of tape. Then, she bought 4 individual rolls of tape. Which expression shows how many total rolls of tape Paula bought? SOLVE AND I'll MARK BRAINST AHAHAHHA
Y=5p+3
Y equals the total amount of tape rolls
P is for the number of packages there are.
Hope this helped!
:)
Answer:
Y=5p+4
Y equals the total amount of tape rolls
P is for the amount of packages there are
Step-by-step explanation:
A bowling ball is pushed with a force of 22. 0 N and accelerates at 5. 5 m/s2. What is the mass of the bowling ball?
When a bowling ball is propelled with a force of 22. 0 N and accelerates at a rate of 5. 5 [tex]ms^{-2}[/tex], its mass is 4. 0 kg.
Newton's Second Law of Motion states that force is the result of mass times acceleration.
[tex]F=m*a[/tex]
[tex]m = F / a[/tex]
A force of 22.0 Newtons ( [tex]kgms^{-2}[/tex] ) and an acceleration of 5.5 meters per second squared were used to drive the bowling ball.
F = 22.0 [tex]kgms^{-2}[/tex] and
a = 5.5 [tex]ms^{-2}[/tex]
Put the values in the formula as replacements.
M = 22 [tex]kgms^{-2}[/tex]/ 5.5 [tex]ms^{-2}[/tex]
Meters per second squared (m/s2) units cancel each other out.
M = 22 kg / 5.5
= 4 kg
The bowling ball weighs 4 kilogram.
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x+x+x+x+x please help!!!!!
Step-by-step explanation:
well this is a rather odd equation but I'm assuming that
x+x+x+x+x = 5x
A helicopter leaves A and flies 40 miles due east. Then the helicopter flies
10 miles due south and arrives at B. Work out the bearing of B from A.
The bearing of the helicopter from B to A is 75.96 degrees
How to determine the bearing of the helicopter from B to AInformation from the question
A helicopter leaves A and flies 40 miles due east
the helicopter flies
10 miles due south
Work out the bearing of B from A = ?
The bearing from B to A is worked using SOH CAH TOA
The direction of movements describes a right angle triangle of
opposite = 40 miles
adjacent = 10 miles
The bearing is calculated using tan, TOA let the angle be x
tan x = Opposite / Adjacent
tan x = 40 / 10
tan x = 4
x = arc tan 4
x = 75.96 degrees
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Write 30 000 000 in standard form.
Answer:
3×10^7
Step-by-step explanation:
Write 30 000 000 in standard form.
=3×10,000,000
=3×10^7
Step-by-step explanation:
this is
3.0 × 10⁷
as 30 000 000 has 7 zeroes (7 sequential and continuously increasing powers of 10 starting with 10¹).
and the first non-zero digit is 3.
Wyatt is deciding between two different movie streaming sites to subscribe to. Plan A costs $19 per month plus $0.50 per movie watched. Plan B costs $13 per month plus $1.50 per movie watched. Let A represent the monthly cost of Plan A if Wyatt watches x per month, and let B represent the monthly cost of Plan B if Wyatt watches a movies per month. Write an equation for each situation, in terms of x, and determine the number of monthly movies watched, x, that would make the two plans have an equal monthly cost.
Equations representing the total costs for plan A and B are A = 19 + 0.50x and B = 13 + 1.5x, respectively, where x is the number of movies watches.
Cost of both the plans will be equal for 6 movies.
What is a linear equation?A linear function is defined as a function that has either one or two variables without exponents.
Given that, Wyatt is deciding between two different film streaming sites to subscribe to, plan A costs $19 per month plus $0.50 per film watched, plan B costs $13 per month plus $1.50 per film watched.
According to question,
A = 19 + 0.50x and
B = 13 + 1.5x
For costs being equal, we have,
A = B
19 + 0.50x = 13 + 1.5x
x = 6
Hence, for 6 films the costs of both the plans will be equal and equation for both the plans are A = 19 + 0.50x and B = 13 + 1.5x
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Find the perimeter of this semi-circle
with diameter, d = 84cm.
Give your answer as an expression in
terms of π.
The perimeter of this semi-circle with diameter, d = 84cm the expression in terms of π are as follows:
= 48π + 42
What is the equation for a semicircle?The area of a circle, A, is calculated using the formula A = pi * r2, where r is the circle's radius. Since we already know that a semicircle is half of a circle, we can easily divide that equation by two to determine the area of a semicircle. As a result, A = pi * r2/2 is the formula for calculating the area of a semicircle.
How do you calculate the circumference of a half-semicircle?With the aid of the following formula, we can determine a semicircle's perimeter: The semicircle's perimeter is equal to r + 2r units, where r is the radius of the semicircle.
According to the given data:Diameter of the semi-circle = 84cm
Now,
the circumference of the semi-circle = πr + 2r
Substituting the value of r in the given formula:
the circumference of the semi-circle = πr + 2r
= πr + 2r
= 48π + 42
The perimeter of this semi-circle with diameter, d = 84cm the expression in terms of π are as follows:
= 48π + 42
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find the dimensions of a rectangular box with a square base which has a volume of 12 cubic feet and the smallest possible surface area.
The dimensions of a rectangular box with a square base which has a volume of 12 cubic feet is a = 12^ 1/3, b = 12^ 1/3
Rectangular Box with Square base
Volume v = a²b = 12
S = Surface area = 2a² + 4ab
v = a²b = 12
b = 12/a²
S = 2a² + 4ab = 2a² + 4a(12/a²) =2a² + 48/a
S'(a) = 4a -48/a² = 0
4a³ = 48
a = 12^ 1/3
b = 12/a² = 12/12^ 2/3 = 12^ 1/3
Therefore, the dimensions of a rectangular box with a square base which has a volume of 12 cubic feet is a = 12^ 1/3, b = 12^ 1/3
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1 . 10. A life insurance company found that among its last 200 claims, there were six dozen smokers. What is the ratio of smokers to nonsmokers in this group of claimants? Write in lowest terms
2. A woman threw 60 darts and hit the target a dozen times. What is her ratio of hits to misses? Write in lowest terms
3. . While watching television for one week, a consumer group counted 1240 acts of violence and 40 acts of kindness. What is the violence to kindness ratio for television, according to this group. Write in lowest terms
Answer for No.2
Answer: 1/4
Step-by-step explanation:
Hits = 12
Misses = 60-12 = 48
Ratio of hits to misses = 12/48 = ¼
So the answer is 1/4.
how many whole numbers lie between
[tex] \sqrt{8} \: and \: \sqrt{80} [/tex]
Which property justifies "Step 4"
Which property justifies "Step 4" in the proof below?
a. )45= m_B
b.) m B = 45
3) Substitution
4)?
The property justified by step 4 is after substitution in the equation you get the desired result.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the data in the question,
In step 3 substitution of value is taking place.
In step 4 when values are substituted the final result is obtained, so step 4 is the result step.
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A restaurant's delivery person can determine the number of miles he can drive in x hours by the function f (x) = x2 + 3x. the number of gallons of gasoline that the delivery person uses for driving y miles can be determined by the function g of y is equal to y over 22 period if the delivery person works an 8-hour shift, how many gallons of gasoline will he need in his tank?
Given that the delivery person works an 8-hour shift, he needs 4 gallons of gasoline in his tank.
A function is defined as the expression that relates a independent variable with a dependent variable. To evaluate a function is to substitute the value of the independent variable and then calculate the function value.
Given that the delivery person works an 8-hour shift, substitute x = 8 to the function of y.
y = f(x) = x² + 3x
y = 8² + 3(8)
y = 88
To determine the amount of gasoline needed, substitute the value of y to the function of g of y.
g = y / 22
g = 88 / 22
g = 4
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each other.
с
D
1. The volume of box A is 64 cubic inches. The circumference of a regulation baseball is at least 9 inches but no more
than 9.25 inches. Can a baseball fit in box A? Explain.
2. Box B has a surface area of 216 square inches. What is the ratio of the side length of box B to the side length of box
A?
3. The ratios of the side lengths of B to A, C to B, and D to C are the same. How much more space do the boxes
occupy when stored separately in a closet than when they are stacked inside each other in the closet?
1.) Yes,it will fit because volume of the base ball is 13.36 cubic inch and the volume of box is 64 cubic inch which greater than the volume of baseball .
2) The ratio of the side length of box B to the side length of box
A is 1.472 inche : 6 inch.
What is cube ?
A Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.
What is circumference?
The circumference is the distance that surrounds a circle. We can measure the circumference of the earth by measuring the distance that we will have to walk all the way around the world.
To check whether the baseball is will till in the box we will check the maximum value of circumference.
⇒ [tex]2\pi r[/tex] = 9.25
⇒ [tex]r = \frac{9.25}{2\pi}[/tex]
⇒[tex]r = 1.472 in.[/tex]
Volume of the baseball [tex]= \frac{4}{3} \pi x^{3}[/tex]
[tex]= \frac{4}{3}\times \pi\times (1.472)^3 in^3[/tex]
[tex]= 13.36\ in^3 < 64 \ in^3\\[/tex]
So, it will fit inside the box.
2.)[tex]\sqrt[3]{216} = 6 \ (\therefore V = a^3)[/tex]
The length of each side of the box is 6 inches.
and the ratio of the side length of box B to the side length of box
A:
1.472 in : 6 inches
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Pls help me ! for this question
Answer:
f = 3cm g = 16cm
Step-by-step explanation:
Area of ABCE = 60cm²
Area of ABCD = 48cm²
60 - 48 = 12
Area of ADE = 12cm²
A to D = 3cm
f = 3cm
g = 16cm
I need to know before I can perform a rotation.
the size of the coordinate plane
the degree of rotation
which way to flip the point, line, or figure
which way to slide the point, line, or figure
To perform Rotation in coordinate plane the following information may help you.
What is Geometric Rotation ?
In geometry, rotation is a type of rigid motion or transformation that involves the movement of a shape about a point while preserving the shape, size, and distance between the points on the shape.The center of rotation is the location around which the shape is rotated.
To perform Rotation in coordinate plane
The size of the coordinate plane - the points or graph is mention in question so no need to worry about size of coordinate plane.The degree of rotation : This describes the extent to which a shape is rotated, and can vary from 0° to 360°. This is a required condition to know when to stop rotating the figure.Last two questions sum up and I'm explaining like that,
Reflection in the line y = 0 [x - axis]When a point is reflected in the x-axis then signs of it's ordinate (y-axis) change.
Mₓ (x, y) = (x, - y)
Reflection in the line x = 0 [y - axis]When a point is reflected in the y-axis then signs of it's abscissa (x-axis) change.
My (x, y) = (-x, y)
Reflection in the originWhen a point is reflected in the origin , the signs of it's Abscissa and ordinate change.
M₀ (x, y) = (-x, -y) (in origin the sign become opposite if there is '+' then it changes to '-' and vice versa)
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rite the equation for the logarithmic function that has the following
ansformations from the parent logarithmic function. The function will
ave a base of 10. You will not have to write the 10. It is assumed.
- Shifted 3 units left
Vertical compression by a factor of 2
Reflected across the y-axis
Shifted down 5 units
The given function shifted 3 units left is log(x+3), vertical compression by factor 2 is 2log(x+3), Reflection across the y-axis is 2log (-x+3) and shifted down by 5 units is 2log(-x+3)-5.
Given the parent function with base 10.
We want to find the given transformations.
The given parent function is y=log(x)
Firstly, we want to shift the given parent function 3 units left means we will add 3 in the parent function, we get
y=log(x+3)
Now, we want to do vertical compression by a factor of 2 means we will multiply the above function with 2, we get
y=2log(x+3)
Further, we want to reflected the above function across the y-axis means we will multiply the x with minus, we get
y=2log(-x+3)
Furthermore, we want to shift the above function down with 5 units means we will subtract 5 from the above function, we get
y=2log(-x+3)-5
Hence, the given parent function y=log(x) when shifted 3 units left is log(x+3), vertical compression by factor 2 is 2log(x+3), Reflection across the y-axis is 2log (-x+3) and shifted down by 5 units is 2log(-x+3)-5.
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7. What number multiplied by 2/3 has a product
of 1? (Example 2) it's saying 4/6 is wrong what do i do
Answer:
3/2
Step-by-step explanation:
To multiply fraction×fraction, you multiply top×top and bottom×bottom.
2/3 × 3/2
= 6/6
= 1
The 3/2 is called the reciprocal. Take the number in the problem and flip it over to find the reciprocal.
0.25 in standard form
Answer:
2.5 × 10^-1
step-by-step explanation:
To get to standard form, you must move the decimal to the right one place so the number before it is not a 0. Because you move the decimal, you must add the second part of the equation so that the value does not change.
Answer:
02.5 but the 0 at the beginning isn't significant so 2.5
Step-by-step explanation:
because to find the standard form you move the decimal point so that there is only one non-zero digit in front of the decimal point.
Write and solve and equation for each scenario. Use x for the variable in your equation. Show your work by first writing an equation and then solving it. Put the solution of your equation in the answer box. If you multiply a number (x) by 5, the product is equal to the sum of 20 and 15.
Based on the calculations, the unknown number (x) is equal to 7.
How to determine the unknown number?In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the unknown number. Therefore, translating the word problem into an algebraic equation, we have the following;
Multiply a number (x) by 5 = 5x
The product is equal to the sum of 20 and 15 = 20 + 15 = 35.
Combining the above information, we have:
5x = 20 + 15
5x = 35
Dividing both sides by 5, we have:
x = 35/5
x = 7.
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Consider a window the shape of which is a rectangle of height h surmounted by a triangle having a height t that is 0.9 times the width w of the rectangle. if the cross-sectional area is a, determine the dimensions of the window which minimize the perimeter.
The cross-sectional area is (h × w ) + ((1 ÷ 2) × 0.9 × w²) and the dimensions of the window which minimize the perimeter is (A - [tex]c_{0}[/tex][tex]w_{0}^{2}[/tex]) ÷ [tex]w_{0}[/tex] = 2√A[tex]c_{1}[/tex]([tex]c_{2}[/tex] - [tex]c_{0}c_1[/tex]) = 0.60592√A.
height of rectangle = h
height of the triangle = t
T = 0.9
width of the rectangle = w
The formula of Cross-sectional area is,
A = h × w + (1 ÷ 2)T × w
A = (h × w ) + ((1 ÷ 2) × 0.9 × w²)
Perimeter,
P = w + (2 × h) + 2√(T² + (w ÷ 2)²)
P = w + (2 × h) + 2√((0.9)² + (1 ÷ 2)²)
P = 2h + 2√((0.9)² + (1 ÷ 2)² + 1) × w
Therefore, [tex]C_{0}[/tex] = 0.9 ÷ 2, [tex]C_{1}[/tex] = 2, [tex]C_{2}[/tex] = 2√((0.9)² + (1 ÷ 2)² + 1)
minP=[tex]c_1[/tex]h+[tex]c_2[/tex]w
A = (h × w) + [tex]c_{0}[/tex]w²
substituting h = (A - [tex]c_{0}[/tex]w²) ÷ hw in P,
P = [tex]c_1[/tex]w + ([tex]c_1[/tex](A - [tex]c_{0}[/tex]w²) ÷ w)
Differentiating both sides,
(dP ÷ dw) = -2[tex]c_{0}[/tex][tex]c_{1}[/tex] + [tex]c_{2}[/tex] - ([tex]c_{2}[/tex](A - [tex]c_{0}[/tex]w²) ÷ w²) = 0
[tex]w_{0}[/tex] = (√[tex]c_{1}[/tex]A ÷ (√[tex]c_{2}[/tex] - [tex]c_{0}c_1[/tex])) = 0.962445√A
and consequently,
[tex]h_{0}[/tex] = (A - [tex]c_{0}[/tex][tex]w_{0}^{2}[/tex]) ÷ [tex]w_{0}[/tex] = 2√A[tex]c_{1}[/tex]([tex]c_{2}[/tex] - [tex]c_{0}c_1[/tex]) = 0.60592√A
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The ___ of a hyperbola is one of two points such that the difference of the distances from any point on the hyperbola to the foci is a constant.
The POINT of a hyperbola is one of two points such that the difference of the distances from any point on the hyperbola to the foci is a constant.
What is hyperbola?A hyperbola is a significant conic section in mathematics that is created by the intersection of a double cone with a plane surface, though not always at the center. A hyperbola is symmetric along its conjugate axis and resembles the ellipse in many ways. A hyperbola is subject to concepts like foci, directrix, latus rectus, and eccentricity. Examples of hyperbola that are frequently seen include the path taken by the tip of a sundial's shadow, the scattering trajectory of subatomic particles, etc.Here, we'll use instances that have been solved to better grasp the definition, formula, derivation, and standard forms of hyperbolas.Hence, The POINT of a hyperbola is one of two points such that the difference of the distances from any point on the hyperbola to the foci is a constant.
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What is the slope of the line represented by the equation y = x-3?
03
-3
Answer:
slope of the line = 1
Step-by-step explanation:
i hope i helped
Figure E is dilated from point D, the center of dilation
The figure that is a dilation of figure E is the figure F
What is dilation?Dilation involves enlarging or reducing the side length of a shape to create another shape by a constant scale factor, where the scale factor does not equal one.
How to determine the dilated figure?The graph represents the given parameter
From the figure, we have the original shape to be figure E
The center point of figure E is the origin
This means that a line drawn from the origin that passes through point E must pass through the same point on the shape
From the figure, the line passes through the same point on figure E and F
Hence, figure F is a dilation of figure
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what is the perimeter of rectangle ABDC, if AB=8 and AC=24 A. 32 B. 40 C. 64 D. 128
The perimeter of rectangle ABDC is 61.24 units.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The rectangle ABDC is given in the question which has:
AB = 8 and AC = 24
Here AC is the diagonal of the rectangle which is the hypotenuse in a right triangle.
As per Pythagoras's theorem,
AC² = AB² + BC²
24² = 8² + BC²
576 = 64 + BC²
BC² = 512
BC = 22.62
The perimeter of rectangle ABDC = 2(AB + BC)
The perimeter of rectangle ABDC = 2(8 + 22.62)
The perimeter of rectangle ABDC = 2(30.62)
The perimeter of rectangle ABDC = 61.24 units
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What is an equation of the line that passes through the points (3,-3) and (3,-6)
Answer:
x = 3
Step-by-step explanation:
You want the equation of the line through points (3, -3) and (3, -6).
Vertical lineThe two points have the same x-value, indicating the line through them is a vertical line. That will have an equation of the form x = c.
The x-value of the given points is 3, so the equation is ...
x = 3
__
Additional comment
We note that the answer box is pre-filled with "y =". There is no "y =" equation that will go through these points. The slope is undefined, so the slope-intercept form of the equation cannot be used.
Please help!! I need to find the Length of Side EF and The scale factor from both triangles
The required answers for given similar triangles are DF= 3, EF= 2.25, and scale factor 4/3 respectively.
What is Similarity?In geometry, two geometrical triangle are similar if they have the same shape, and corresponding sides are equate by some factor. More accurately, one can be obtained from the other by uniformly scaling.
According to given data:For length of side DF, ratio of corresponding sides is equal.
⇒ [tex]\frac{AB}{DE} =\frac{AC}{DF}[/tex]
⇒ [tex]\frac{2}{1.5}=\frac{4}{DF}[/tex]
⇒ DF = 3
Similarly for EF,
[tex]\frac{AB}{DE} =\frac{BC}{EF}[/tex]
⇒[tex]\frac{2}{1.5}=\frac{3}{EF}[/tex]
⇒ EF = 2.25
At last, by using same concept of similarity scale factor is
[tex]\frac{AB}{DE} =\frac{AC}{DF}[/tex]
⇒ [tex]\frac{AB}{DE} =\frac{4}{3}[/tex]
This is our scale factor for both triangle.
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in a particular game, a fair die is tossed. if the number of spots showing is either four or five, you score 1 point. if the number of spots showing is six, you score 4 points. and if the number of spots showing is one, two, or three, you score 0. you are going to play the game twice. what is the probability that you score 4 points both times?
1/36 is the probability that you score 4 points both times.It is the likelihood of scoring four points twice.
1/6 * 1/6 =1/36
The probability of an event occurring is measured by its probability. It determines the probability of an event. The probability calculation is P(E) = Number of Favourable Outcomes/Total Outcomes.A game is a formalized form of play that is frequently done for amusement or fun but can also serve as a teaching game tool.
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