Answer:
B
Step-by-step explanation:
lmk if you want an explanation
Josh was on a 10 foot high
dive above the water and
jumped down into the
water. He traveled a total
of 14 feet. How far below
water did he travele
Answer:
Ver a gente como tú me pone de los nervios como por qué diablos respondiste la maldita pregunta como si eres tonto o simplemente estúpido como si tuvieras un trabajo un trabajo idiota
Step-by-step explanation:
Write a sine function with an amplitude of 5, a period of
Pi/8,and a midline at y = 7.
f(x) = 4sin(8x) + 5
f(x) = 5sin(16)+7
f(x) = 5sin(16x) + 4
f(x) = 4sin(8x) + 7
Answer:
\(\textsf{B)} \quad f(x) = 5 \sin (16x) + 7}\)
Step-by-step explanation:
The sine function is periodic, meaning it repeats forever.
Standard form of a sine function\(\boxed{f(x) = A \sin (B(x + C)) + D}\)
where:
A is the amplitude (height from the midline to the peak).2π/B is the period (horizontal distance between consecutive peaks).C is the phase shift (horizontal shift - positive is to the left).D is the vertical shift (y = D is the midline).Given values:
Amplitude, A = 5Period, 2π/B = π/8Phase shift, C = 0Vertical shift, D = 7Calculate the value of B:
\(\dfrac{2\pi}{B}=\dfrac{\pi}{8}\implies 16\pi=B\pi\implies B=16\)
Substitute the values of A, B C and D into the standard formula:
\(f(x) = 5 \sin (16(x + 0)) + 7\)
\(f(x) = 5 \sin (16x) + 7\)
Therefore, the sine function with an amplitude of 5, a period of π/8, and a midline at y = 7 is:
\(\Large\boxed{\boxed{f(x) = 5 \sin (16x) + 7}}\)
5 A pet shop has 7 guppy fish 13 tetra fish 5 angel fish. H 10 David is going to choose one of the following combinations of fish a guppy fish and an angel fish or a tetra fish and an angel fish or a guppy fish, a tetra fish and an angel fish. Show that there are 555 different ways for David to choose his fish.
There are 555 different ways for David to choose his fish according to the given combinations.
David to choose his fish, we need to consider all the possible combinations of fish he can select.
Let's break down the calculations for each combination:
Guppy fish and an angel fish:
David can choose one guppy fish from 7 options and one angel fish from 5 options.
This gives us a total of 7 × 5 = 35 different combinations.
Tetra fish and an angel fish:
David can choose one tetra fish from 13 options and one angel fish from 5 options.
This gives us a total of 13 × 5 = 65 different combinations.
Guppy fish, tetra fish, and an angel fish:
David can choose one guppy fish from 7 options, one tetra fish from 13 options, and one angel fish from 5 options.
This gives us a total of 7 × 13 × 5 = 455 different combinations.
To find the total number of different ways for David to choose his fish, we sum up the combinations from each category:
35 + 65 + 455 = 555
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Annie drives her car 144 miles using 8 gallons of gas. How many miles per gallon does her car get? Do not include the units in your answer.
Answer:24 mpg
Step-by-step explanation: I HAD THIS SAME QUESTION ON MY TEST I GOT YOU BOO
Answer:
27
Step-by-step explanation:
144/8 = 27
Estimate the measure of angle 1.
According to the image, the missing angle is 100°.
How to calculate the angle of a triangle?When we want to calculate an angle of a triangle we must take into account the following information:
If we know the value of two angles (angles 2 and 3) of the triangle we must add the measure of the two angles we know.
55° (angle 2) + 25° (angle 3) = 80°Now we must subtract the sum total of the two known angles from 180°.
180° - 80° = 100° (angle 1)So the value of angle 1 would be 100°. Additionally, 180° is a rule that we must follow, because the angles of a triangle must always add up to 180°.
Note: This question is incomplete. Here is the complete information:
Image attached
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Nick volunteers at the library shelving books.
The graph shows how many books Nick shelves one Saturday.
Graph of a diagonal line on a coordinate plane with ALTDCTime in hoursALTDC on x-axis and ALTDCNumber of BooksALTDC on y-axis. The diagonal line is going up and to the right. Line passes through points (0, 0), (2, 60) and (4, 120).
Part A
How many books does Nick shelve in 2 hours? Enter your answer in the box.
books
Part B
What does the point (3, 90) represent on the graph?
A.
Nick volunteers 90 hours in 3 weeks.
B.
Nick earns $90 in 3 weeks.
C.
Nick shelves 90 books in 3 hours.
D.
Nick shelves 90 books on 3 Saturdays.
Answer:
B: A
He earns $90 in 3 weeks.
C
He shelves 90 books in 3 hours.
Step-by-step explanation:
Answer:
Step-by-step explanation:
-45 x (-2) solve please
Answer:
-90x Mark Me Brainlest Please
Step-by-step explanation:
a number b divided by 6 equals 15
Answer: b= 90
Step-by-step explanation:
Solve to find b. I multiplied both sides by 6 to get my answer.
\(\frac{b}{6} = 15\\b= 15(6)\\b= 90\)
Answer:
B/6= 15
B=15×6
B=90
Step-by-step explanation:
When you change the position you change the sign in to opposite divide will be change into multiply.
Please help I’m stuck and keep getting the wrong answer
The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42
A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.
The six o'clock position on the Ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 2 minutes.
We have to find how many minutes of the ride are spent higher than 26 meters above the ground.
So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters
So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)
Also, the height of a person at the lowest point = 4 - 15 = -11 meters
Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.
So, the total distance travelled will be = 19 + 11 = 30 meters.
Also, we are given that the wheel completes 1 full revolution in 2 minutes.
We need to calculate the time spent higher than 26 meters above the ground.
So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.
This angle can be calculated as follows:
Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees
Angle = 30 / (pi * 30) * 360 degrees
Angle = 360 degrees / pi
= 114.59 degrees
So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.
Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.
This can be calculated as follows:
Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken
Time = (180 - 114.59) / 360 * 2 minutes
Time = 0.42 minutes
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HELP ASAP I NEED SOMEBODY SMART
A rectangular metal tank with an open top is to hold cubic feet of liquid. What are the dimensions of the tank that require the least material to%E2%80%8B build?
Answer:
\(h = 3.5\)
\(w = 7\)
\(l = 7\)
Step-by-step explanation:
Given
\(Volume = 171.5ft^3\)
Required
The dimension that requires least material
The volume is:
\(Volume = lwh\)
Where:
\(l \to length\)
\(w \to width\)
\(h \to height\)
So, we have:
\(171.5 = lwh\)
Make l the subject
\(l = \frac{171.5}{wh}\)
The surface area (A) of an open-top rectangular tank is:
\(A = lw + 2lh + 2wh\)
Substitute: \(l = \frac{171.5}{wh}\)
\(A = \frac{171.5}{wh} * w + 2*\frac{171.5}{wh}*h + 2wh\)
\(A = \frac{171.5}{h} + 2*\frac{171.5}{w} + 2wh\)
\(A = \frac{171.5}{h} + \frac{343}{w} + 2wh\)
Rewrite as:
\(A = 171.5h^{-1} + 343w^{-1} + 2wh\)
Differentiate with respect to h and w
\(A_h = -171.5h^{-2} +2w\)
\(A_w = -343w^{-2} +2h\)
Equate both to 0
\(-171.5h^{-2} +2w=0\)
Make w the subject
\(2w = 171.5h^{-2}\)
Divide by 2
\(w = 85.75h^{-2}\)
\(-343w^{-2} +2h = 0\)
Make h the subject
\(2h = 343w^{-2}\)
Divide by 2
\(h = 171.5w^{-2}\)
\(h = \frac{171.5}{w^2}\)
Substitute \(w = 85.75h^{-2}\) in \(h = \frac{171.5}{w^2}\)
\(h = \frac{171.5}{(85.75h^{-2})^2}\)
\(h = \frac{171.5}{85.75^2*h^{-4}}\)
\(h = \frac{2}{85.75*h^{-4}}\)
Multiply both sides by \(h^{-4}\)
\(h^{-4} * h = \frac{1}{85.75*h^{-4}} * h^{-4}\)
\(h^{-3} = \frac{2}{85.75}\)
Rewrite as:
\(\frac{1}{h^3} = \frac{2}{85.75}\)
Inverse both sides
\(h^3 = 85.75/2\)
\(h^3 = 42.875\)
Take cube roots
\(h = 3.5\) ---- height
Recall that: \(w = 85.75h^{-2}\)
\(w = 85.75 * 3.5^{-2}\)
\(w = 7\) --- width
Recall that: \(l = \frac{171.5}{wh}\)
\(l = \frac{171.5}{3.5 * 7}\)
\(l = 7\) --- length
What is the solution to the system?
-4x - 2y = 8
y = x2 - 3
Will give points for answer
Answer:
Step-by-step explanation:
to find x;
-4x - 2 -1 =8
-4x + 3 = 8
+4 + 3 = +4
x + 3 = 12
-3 + -3
x = 10
to find y;
y = x2 - 3
y = (10)2 - 3
y = 20 - 3
y = 17
Given that 8 tan = 3 cos
a) Show that the above equation can be rewritten in the form 3 sin2 + 8 sin − 3 = 0
b) Hence solve, for 0 ≤ ≤ 90, the equation 8 tan 2 = 3 cos 2, giving your answers to 2 decimal places.
The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.
a) We are given the equation 8 tan θ = 3 cos θ.
Dividing both sides of the equation by cos θ, we have:
8 tan θ / cos θ = 3
Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:
8 (sin θ / cos θ) / cos θ = 3
Simplifying further, we get:
8 sin θ / cos^2 θ = 3
Now, multiplying both sides of the equation by cos^2 θ, we have:
8 sin θ = 3 cos^2 θ
Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:
8 sin θ = 3(1 - sin^2 θ)
Expanding the equation, we get:
8 sin θ = 3 - 3 sin^2 θ
Rearranging the terms, we have:
3 sin^2 θ + 8 sin θ - 3 = 0
Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.
b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.
To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.
In this case, the equation factors as:
(3 sin θ - 1)(sin θ + 3) = 0
Setting each factor equal to zero, we have two equations:
3 sin θ - 1 = 0 or sin θ + 3 = 0
For the first equation, solving for sin θ, we get:
3 sin θ = 1
sin θ = 1/3
Taking the inverse sine (sin^-1) of both sides, we find:
θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)
For the second equation, solving for sin θ, we have:
sin θ = -3
Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).
Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.
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What is the constant up a proportionally in a equation y=x/g
Answer:
Step-by-step explanation:
\(y=(\frac{1}{g} )x\)
Constant up a proportionally is \(\frac{1}{g}\).
At which points is the function continuous?
The function is continuous in the domain x ≥ 3/4
At which points is the function continuous?Here we have a root function:
f(x) = ⁴√(4x - 3)
This is an even degree root function, so we have problems when the argument is negative.
Then the allowed values (where the function is defined, and thus, continuous) are:
4x - 3 ≥ 0
4x ≥ 3
x ≥ 3/4
There the function is continuous.
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F(x)=6x+7, evaluate f(x)=49
Answer:
X=7
Step-by-step explanation:
Since we have the function F(x)=6x+7, and we are given f(x)=49, we know that 6x+7=49.
Thus, solve for x
6x+7=49
6x=42
x=42/6
x=7
Hope this helps :)
PlEASE NEED HELP FAST!!!!
The key features of this quadratic relation y = -3x² - 24x - 36 include;
y-intercept = (0, -36)x-intercept: (-6, 0) and (-2, 0).The equation of the axis of symmetry is x = -4.The vertex is (-4, 12).This quadratic relation has a maximum value of 12.What is the graph of a quadratic function?In Mathematics and Geometry, the graph of a quadratic function would always form a parabolic curve because it is a u-shaped.
Since the leading coefficient (value of a) in the given quadratic function y = -3x² - 24x - 36 is negative 16, we can logically deduce that the parabola would open downward and the x-intercept (roots) is given by the ordered pair (-6, 0) and (-2, 0).
When x = 0, the y-intercept can be determined as follows;
y = -3x² - 24x - 36
y = -3(0)² - 24(0) - 36
y = -36
Axis of symmetry, Xmax = -b/2a
Axis of symmetry, Xmax = -(-24)/2(-3)
Axis of symmetry, Xmax = -4
For the vertex, we have:
y(-4) = -3x² - 24x - 36
y(-4) = -3(-4)² - 24(-4) - 36
y(-4) = 12
In conclusion, the quadratic function has a maximum value at 12.
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Show that each of these conditional statements is a tautology by using truth tables: (a) ¬p→(p→q)
Some students are making muffins for a fundraiser. They have already made 80 muffins
and they can make 30 muffins in an hour. How many additional hours would they spend
to make 380 muffins?
Answer:
10 hours
Step-by-step explanation:
380 - 80 = 300
30 : 1 = 300 : x
x = 300 / 30
x = 10
Solve each equation below. Show each step and check your work.
a) 56a – 178 = 98 – 248
b) 640 + 70 = 69y + 20
Answer:
A) 0.5
B) 10
Step-by-step explanation:
A) First, you need to Combine Like Terms on the right side of the =
98-248 = -150
Now, you need to Isolate the variable by getting rid of the -178. What you do to one side, you must do the the other.
56a-178(+178) = -150(+178)
56a = 28
Finally, you must remove that 56 on the a. Since it stands for 56 x a, you must do the same you did with the -178 except with Division.
56a/56 = 28/56
a = 0.5
B) Combine Like terms
640+70 = 710
Isolate the variable
710(-20) = 69y+20(=20)
690 = 69y
Remove the 69 with division
690/69 = 69y/69
10 = y
In speed skating, the distance of 10,000 meters consists of 25 laps. A skater sets the
goal of changing the distance completion time by (-10) seconds compared to the
previous personal best time. If the goal is accomplished, what will be the average
change in time per lap?
A.-0.25 seconds
B.-0.4 seconds
C.-2.5 seconds
D-400 seconds
Answer:
B) -0.4 seconds
Step-by-step explanation:
Laps: 25
Goal: -10 seconds to all 25 laps combined (10 seconds difference => -10)
divide by total laps
-10 /25 = -0.4s difference each lap
Solve by fully factoring the polynomial:
10x³40x² + 40x = 0
The solutions to the given Polynomial equation by fully factoring the polynomial; 10x³ + 40x² + 40x = 0 is; x = 0; x = -2.
What are the solutions for the given polynomial equation?It follows from the task content that the solutions for the given polynomial equation; 10x³ + 40x² + 40x = 0 are to be determined.
On this note, since the given equation is; 10x³ + 40x² + 40x = 0
By factorisation; we have;
10x ( x² + 4x + 4 ) = 0
By fully factorising; we therefore have;
10x (x + 2) (x + 2) = 0
On this note, the solutions to the given equation are; x = 0 and x = -2.
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how do I know where to place the sides in order from longest (at the top) to shortest (at the bottom)?
Answer:
DF
EF
DE
Explanation:
To know the order of the sides, we need to identify all three interior angles.
So, to know the missing angle, we will apply that the sum of all interior angles of a triangle is equal to 180°. It means that:
∠D + ∠E + ∠F = 180
∠D + 61 + 59 = 180
∠D + 120 = 180
∠D = 180 - 120
∠D = 60°
Now, the relation between every side and its opposite angle is proportional. It means that if the greatest angle is E, the longest side is the opposite one or DF.
So, the ordered angles and sides are:
∠E = 61° -----> DF
∠D = 60° -----> EF
∠F = 59° -----> DE
Therefore, the sides in the order form longest to shortest are:
DF
EF
DE
Amplitude is ______.
the maximum displacement of a function on a graph
the minimum displacement of a function on a graph
Amplitude is the maximum displacement of a function on a graph.
What is amplitude?
Amplitude is the maximum displacement of a function on a graph. It refers to the maximum height or distance from the baseline of a wave or oscillation.
It is often used in physics and engineering to describe the strength or size of a signal, vibration, or wave. In simple terms, it can be thought of as the "peak-to-peak" distance of a waveform, or the height of the waveform above and below the baseline.
But the minimum displacement of a function on a graph would typically be referred to as the minimum value or the "valley" of the function.
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What is the slope of this graph?
Answer:
m = 3
Step-by-step explanation:
up 3, right 1
3/1 = 3
Decide if each statement below is
true or false.
45 tens is equal to 450.
12.3 is equal to 123 ones.
80 tens is greater than 6 hundreds.
43,200 is less than 50 thousands.
60 hundreds = 6,000
(a) 45 tens is equal to 450. :- True
(b) 12.3 is equal to 123 ones. :- True
(c) 80 tens is greater than 6 hundreds. :- True
(d) 43,200 is less than 50 thousands. :- True
(e) 60 hundreds = 6,000 :- True
Consider the first statement,
45 tens are equal to 450
So, 45 tens mean 45 times 10 is written as:
45 × 10 = 450
Hence, it's true.
Consider the second statement,
12.3 is equal to 123 ones.
Now, 123 ones is equal to 123 times 1.
123 × 1 = 123
Hence, the statement is true.
Consider the third statement,
80 tens is greater than 6 hundreds.
Now 80 tens = 80 × 10 = 800
Now, 6 hundreds = 6 × 100 = 600
Now, 800 > 600
Hence, the statement is true.
Consider the fourth statement.
43,200 is less than 50 thousands.
Now, 50 thousands = 50 × 1000 = 50,000
We know,
50,000 > 43,200
Therefore, the statement is true.
Consider the fifth statement,
60 hundreds = 6000
Now, 60 hundreds = 60 × 100 = 6000
Therefore, the statement is true.
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Each side length of a triangle is 4 cm. What type of triangle is it?
☐ right
□acute
Equilateral
Isosceles
Answer: Equilateral
Step-by-step explanation:
It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.
Hope you understood.
Estimate the sum -14 1/9 x -2 9/10
Answer:
ज्ध्ध्द्न्द्
Step-by-step explanation:
क्क्न्क्
A membership to LA Fitness is on sale for $ 112 50. That represents
a 25% discount on the original membership price. What was the
membership selling for before the discount?
Answer:
Step-by-step explanation:
let the original price be x
discount is 25%, .25x
discounted price x-.25x=.75x
112.50=.75x
x=150 was the membership selling before the discount
What is the standard form equation 9(g-5h)
Answer:
9g - 45h
Step-by-step explanation:
9 (g - 5h)
= 9g - 45h