Answer:
The average rate of change is 4.
Step-by-step explanation:
Average rate of change is simply a fancy way of saying "find the slope".
So for slope, we use (y2-y1)/(x2-x1).
(3-(-13))/(2-(-2))
16/4
4
Is the vertical component of velocity ever zero? If so, where?
The vertical component of velocity can be zero at specific points in the motion of an object.
What is Velocity?
Velocity is a vector quantity that describes the rate of change of an object's position in space over time. It is defined as the displacement of an object divided by the time interval during which the displacement occurred.
The vertical component of velocity can be zero at specific points in the motion of an object. This occurs when the object reaches the highest point in its vertical motion and begins to fall back down. At this point, the vertical component of velocity changes direction from upward to downward, and its magnitude becomes zero. This moment is known as the "instant of maximum height" or "instant of maximum altitude." Beyond this point, the vertical component of velocity becomes negative, indicating that the object is moving downward.
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6 - 2 4/7 = ?
answer asap
Answer: 3 3/7
Step-by-step explanation:
6 - 2 4/7
6 is the same thing as 5 7/7
5 7/7 - 2 4/7 = 3 3/7
Someone please help..
Answer:
ITS J because the Mlimeters are suppose to be on the other side
Step-by-step explanation:
Find the area of the shaded figure below. Round your answer to one decimal place.534Provide your answer below:square units712
ANSWER
Area of the shaded figure is 77.7 square unit (rounded to 1 decimal place).
EXPLANATION
Given:
Rectangle with length = 12 and breadth = 7.
Semi-Circle with diameter = 4
Desired Outcome:
The area of the shaded region.
Looking at the figure carefully, you will notice that it was only half of the circle that was fixed with the rectangle.
Determine the Area of a semi-circle
Area of a semi-circle is half of the area of a circle
\(\begin{gathered} Area\text{ \lparen semicircle\rparen= }\frac{1}{2}\pi r^2\text{ \lparen where r = }\frac{d}{2}\text{ = 2\rparen} \\ \text{ = }\frac{1}{2}\times3.142\times2^2 \\ \text{ = 6.284 unit}^2 \end{gathered}\)Area of the Rectangle
\(\begin{gathered} Area\text{ \lparen rectangle\rparen = L}\times B \\ \text{ = 12}\times7 \\ \text{ = 84 unit}^2 \end{gathered}\)Determine the area of the shaded figure
\(\begin{gathered} Area\text{ \lparen shaded\rparen = Area \lparen rectangle\rparen - Area \lparen semicircle\rparen} \\ \text{ = 84 - 6.284} \\ \text{ = 77.716 unit}^2 \end{gathered}\)Hence, the Area of the shaded figure is 77.7 square unit (rounded to 1 decimal place).
For items 7-10, use the figure shown. Find the coordinates of the specified vertex after the given sequence of transformations.
Quadrilateral Q R S T plotted on a coordinate plane with vertices at, Q, (1, 3), R, (3, negative 3), S, (zero, negative 2), and T, (negative 2, 1).
a translation 2 units right, then a reflection across x = 0
Q' = ( , )
The coordinates of the specified vertex after the given sequence of transformations is given by;
Q' = (3, -3).
What is a translation?In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.
Mathematically, a horizontal translation to the right is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent a function.By translating the coordinate Q (1, 3) two (2) units to the right, we have the following:
Coordinate Q (1, 3) → Coordinate Q' (1 + 2, 3) = Q (3, 3)
In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection over the x-axis is given by this transformation rule:
(x, y) → (x, -y)
Coordinate Q' (3, 3) → (3, -3).
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lim x→0 (1 - cos x / x)
The limit to the above question is 0.
What is limit?The value that a function approaches when its input value approaches a certain value is known as a limit in mathematics.
To evaluate the limit:
We can use L'Hopital's rule. Taking the derivative of the numerator and denominator with respect to x:
lim x→0 (1 - cos x / x) = lim x→0 [(sin x) / 1]
= sin(0)
= 0
Therefore, the limit is 0.
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Unit 11: Volume & Surface Area Homework 8: Volume of Pyramids & Cones
The solution is, the volume of Pyramid with the given base and height is found as: 2342.925 sq. km.
Explain about the shape of Pyramid:
A pyramid is just a polyhedron with a polygonal base and triangles on all of its lateral faces. In this lesson, we will only focus on pyramids with lateral faces that are congruent, or identical in size and shape.
The base of a pyramid is often used to describe the structure.
A hexagonal pyramid has to have a base that is a hexagon, while a triangular pyramid seems to have a base that is a triangle.
Given data:
Base length = 26.7 km
base width = 11.7 km
Height = 15 km
Volume of Pyramid:
V = base area * height
Base area = 1/2*base*height
Base area = 1/2*26.7*11.7
Base area = 156.195 sq.km.
Now,
Volume of Pyramid = 156.195 * 15
Volume of Pyramid = 2342.925 sq. km.
Thus, the volume of Pyramid with the given base and height is found as:
2342.925 sq. km.
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Complete question:
find the Volume of Pyramid:
Base length = 26.7 km
base width = 11.7 km
Height = 15 km
Daniel has $125 in his bank account. He saves $40 each week from his allowance. He needs a total of $600 in order to buy a PS5. Complete the equation, and determine how many weeks it will take him to save up enough money.
\( \LARGE{ \underline{\underline{ \tt{Required \: answer:}}}}\)
We have,
Initial amount = $125 (Constant)Per week savings = $40Amount to be collected for buying a PS5 = $600What to do?
We need to frame an equation with variable determining the no. of weeks it will take him to save up the money.Here's how to do?
Let the no. of weeks be x. Then,
Amount collected by savings = $40x
So, The equation will be:
➝ 125 + 40x = 600
Note:
Don't forget to add the unit i.e. dollars '$' here.You deposit $300 into a savings account that earns interest annually. The function g(x) = 300(1.04)x can be used to find the amount of money in the savings account, g(x), after x years. What is the range of the function in the context of the problem?
ℝ
[0, ∞)
[300, ∞)
[0, 300]
The range of the function g(x) is [300, ∞)
In this question, we have been given that we have deposited $300 into a savings account that earns interest annually.
The function g(x) = 300(1.04)^x used to find the amount of money in the savings account, g(x), after x years.
We need to find the range of the function.
Since a savings account earns interest annually, x can have take values from 0 to infinity.
For x = 0 year,
g(0) = 300(1.04)^0
g = 300 * 1
g = 300
For x tends to ∞, the value of function would be ∞
Therefore, the range of the function g(x) is [300, ∞)
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Polygons in the coordinate
In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.
How to know if it's a triangleFind the lengths of the three sides of the triangle using the distance formula.
Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.
If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.
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If 4 pairs of socks costs $10. 00, how many pairs of socks can be purchased for $22. 50?.
find the area of the shape below
Answer:
The figure is a composite shape.
Theres 1 triangle and 1 rectangle
The formula to find the area of the triangle is 1/2 x base x height
1/2 x 7 x 3 = 10.5 units^2
The formula to find the area of the rectangle is base x height
7 x 3 = 21 units^2
Then add up all the areas to find the area of the entire shape.
10.5 units^2 + 21 units^2 = 31.5 units^2
plz mark brainliest if this helped :)
For some positive integer n, the expansion of (1 x)'1' has three consecutive coefficients a, b, c that satisfy a : b : c
The expansion of (1+x)^n has three consecutive coefficients that satisfy a : b : c.
To find the expansion of (1+x)^n, we can use the binomial theorem. According to the theorem, the coefficients of the expanded expression are given by the binomial coefficients, which can be calculated using the formula C(n,k) = n! / (k!(n-k)!), where n is the power of the binomial and k represents the term number.
Now, to find three consecutive coefficients that satisfy a : b : c, we need to look for a pattern in the binomial coefficients. Since we are given that a, b, and c are consecutive, we can express them as C(n,k), C(n,k+1), and C(n,k+2).
To find the pattern, we can divide each coefficient by the previous one. If a : b : c, then (C(n,k+1) / C(n,k)) = (C(n,k+2) / C(n,k+1)). Simplifying this expression, we get (k+1) / (n-k) = (k+2) / (n-k-1).
By solving this equation, we can determine the values of k and n that satisfy the given condition, and thus find the three consecutive coefficients a, b, and c.
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PLEASEEEEE help I don’t know what to put!!!!
Also can I please have Brainliest??
Only if I'm right of course...
Lab tests of a new drug Indicate a 70% success rate in completely curing the targeted disease. The doctors at the lab created the random data in
the table using a representative simulation. The letter Estands for "effective," and N stands for "not effective."
EEEE NEEE EEEE EEEN NEEN
NEEE EENE NNNE NEEN EENE
NENE EEEE EEEE NNNE ENEE
NEEN ENEE EENN ENNE NEEE
ENEN EEEE EEEN NEEE EENN
EENE EEEN EEEE EENE EEEE
ENEE ENNN EENE EEEE EEEN
NEEE ENEE NEEE EEEE EEEE
NENN EENN NNNN EEEE EEEE
ENNN NENN NEEN ENEE EENE
would not be effective is
Answer:
Not effective: 31.5%
Effective: 68.5%
Step-by-step explanation:
200
First we need to figure out how many tests they did :)
20 x 10 = 200
Now lets divide to see the percentage of how effective and not effective it is :)
Not effective: 31.5%
63/200 = 0.315 x 100 = 31.5
Effective: 68.5%
137/200 = 0.685 x 100 = 68.5
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
Not effective: 31.5%
Effective: 68.5%
Step-by-step explanation:
The data for this problem is shown below:
AA = 46
BB = 22
cc = 34∘∘
Find the answers below:
NOTE: Enter numerical values only!
Graded as: Correct answers are within 5% of solutions
Length of side CC = Answer
Angle of a∘a∘ = Answer
Angle of b∘b∘ = Answer
Sum of all the Angle of the triangle a∘+b∘+c∘a∘+b∘+c∘ = Answer
On evaluating the given data, sum of all the angles of the traingle is equal to 102°. While angle of a is 46° and b is 22°
Given the values provided, we can determine the answers as follows:
To find the length of side CC, we need additional information about the triangle. Please provide the lengths of two sides or the necessary angles to calculate it.
Angle of a: a∘ = AA = 46
Angle of b: b∘ = BB = 22
Sum of all the angles of the triangle: a∘ + b∘ + c∘ = 46 + 22 + 34 = 102°
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PLEASE THIS IS AN EMERGENCY I NEED HELP QUICK!!!!!
1.Compare the expressions 7 + 3^2-2x5÷4-1x2 and (¾+ ⅛) ÷ ⅛ - 2^2using < , =, > or . Show your work.
Answer:
The comparison of the expressions is 7 + 3² -2 * 5 ÷ 4 - 1 * 2 > (¾+ ⅛) ÷ ⅛ - 2²
How to compare the expressionsFrom the question, we have the following parameters that can be used in our computation:
7 + 3^2-2x5÷4-1x2 and (¾+ ⅛) ÷ ⅛ - 2^2
Express the exponents properly
This gives
7 + 3² -2 * 5 ÷ 4 - 1 * 2 and (¾+ ⅛) ÷ ⅛ - 2²
Evaluate the exponents
So, we have the following representation
7 + 9 - 2 * 5 ÷ 4 - 1 * 2 and (¾+ ⅛) ÷ ⅛ - 4
Evaluate the expressions in brackets
So, we have the following representation
7 + 9 - 2 * 5 ÷ 4 - 1 * 2 and 7/8 ÷ ⅛ - 4
Solve the products and quotients
7 + 9 - 2.5 - 2 and 7 - 4
So, we have
11.5 and 3
11.5 is greater than 3
So, we have
11.5 > 3
Rewrite as
7 + 3² -2 * 5 ÷ 4 - 1 * 2 > (¾+ ⅛) ÷ ⅛ - 2²
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Bill started west on road u. S. 50, riding a bicycle at an average rate of 9 mph. Four hours later charles started after bill on a motor cycle and overtook him in 2 hours. What was charles' rate? which equation could be used to solve for charles' rate if it is represented by x? 6 x = 54 2 x = 54 2 x = 36.
The equation could be used to solve for charles' rate if it is represented by x is 2x=54.
In the given question wehave to find the equation could be used to solve for charles' rate if it is represented by x.
Bill riding a bicycle at an average rate of 9 mph.
Charles' rate is x.
So the relative rate = x−9 mph
Distance traveled by Bill in 4 hours = 9*4 =36 mph
Charles' overtook Bill in 2 hours. So
Relative Rate = Distance/Time
x−9=36/2
Multiply by 2 on both side. We get
2(x−9)=36
Simplifying
2x−18=36
Add 18 on both side, we get
2x=36+18
2x=54
Hence, the equation could be used to solve for charles' rate if it is represented by x is 2x=54.
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Help pls and ty
What’s the slope of 6x+8y=10
What’s the y-intercept
Answer:
slope=-3/4
y=5/4
Step-by-step explanation:
attached wrk here
suppose you want to find how many ways we can select five door prizes from seven different ones and distribute them among five people. would you use a combination or a permutation?
There are \(5^{7}\) total ways to divide the seven different prizes because each prize is selected from among five students and is awarded to only one.
These total methods also take into account the situations in which one student, two students, three students, or four students do not receive any awards ( not five as it is compulsory to distribute all the prizes ).
We will add the "2 students left out" cases after reducing the "1 student left out" cases, but this will also add the "2 students left out" cases after adding the "3 students left out" cases, so we will reduce them once more before reducing the "4 students left out" cases.
Hence total ways :
student left out”+“2
students left out”−“3
students left out”+“4
students left out”
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I am visiting my friend Janette in Bristol. My journey takes a total time of 1 hour 26 minutes. I travel by train for 34 minutes, then walk at a rate of 1/2 mile per 10 minutes. How many miles do I walk for?
Answer:
2.6 miles
Step-by-step explanation:
1 hour 26 minutes= 86 minutes
86-34=52 total walk time
52 minutes= 5*1/2 miles
=2.5 miles walked
and 2 minutes.
so we need to find 1/5 of 1/2
(1/2)/5=0.1 mile
2.5+0.1=2.6 miles
someone solve this please
Answer:
20 ° i think
Step-by-step explanation:
Answer:
20
because they are identical triangles therefore they have the same interior angles.
Jing did 1/7 of a task in 3 days. How long will she take to do the whole task? Assume that she works the same rate over the entire period?
7 days
14 days
21 days
28 days
Answer:
21 days
Step-by-step explanation:
if you do 1/7 of the task in 3 days, you must do 7/7 of the task to finish
to make 1/7 7/7 you must multiply it by 7
so you set the equation up like this
3 * 7
and you get 21 as how long she works
An inscribed angle measures 114 degrees. what is the measure of the minor arc it intercepts?
The measure of the minor arc intercepted by the inscribed angle is 228 degrees.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
In a circle, the measure of an inscribed angle is equal to half the measure of the intercepted arc.
Therefore, if the inscribed angle measures 114 degrees, then the minor arc it intercepts has a measure of twice that, or:
2 × 114 = 228 degrees
Hence, the measure of the minor arc intercepted by the inscribed angle is 228 degrees.
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solve for this equation
8x+6=14-4(2-2x)
Answer: x should be equal to -2
Step-by-step explanation:
8x + 6 = 14 - 4(2 - 2x)
8x + 6 = 14 - 8 - 4x
8x + 6 = 6 - 4x
8x = - 4x
x = -2
Find an ordered pair (x,y) that is a solution to the equation. 4x-y=8
Answer:
2,4
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the units digit of the sum 1! + 2! + 3! + 4! + 5! + ... + 1000!?
this is so easy it's: 1015
your welcome
Which is NOT a solution
of the inequality
9 - 3x ≥ -36 ?
A. 0
B. -22
C. 50
D. 11
Need help with this please
Answer:
The third side is sqrt(77)
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
2^2 + b^2 = 9^2
4+ b^2 = 81
Subtract 4 from each side
b^2 = 81-4
b^2=77
Take the square root of each side
sqrt(b^2) = sqrt(77)
b = sqrt(77)
The third side is sqrt(77)
You want to further our education after leaving junior high school, write a letter to your uncle giving him at least three reason why you need his help
I believe your support is crucial for three reasons: financial assistance, guidance in choosing the right educational path, and networking opportunities.
Firstly, financial assistance is crucial to pursue higher education. As you know, the cost of tuition, books, and living expenses can be overwhelming. With your help, I can ease the financial burden and focus more on my studies, without having to worry about the financial aspects.
Secondly, your guidance and experience would be invaluable in choosing the right educational path. I greatly admire your knowledge and expertise in various fields, and I trust your judgment in helping me make informed decisions about which courses or majors to pursue. Your insights can provide clarity and direction, ensuring that I make choices aligned with my interests and future goals.
Lastly, your vast network of contacts and connections can open doors to valuable opportunities. Networking plays a significant role in today's competitive world, and having access to professionals in different industries can provide internships, mentorship, or even potential job prospects in the future. Your support in expanding my network will greatly enhance my chances of success.
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