It akes 2.5 seconds for the football to reach its maximum height.
How to calculate the valueIt should be noted that to find the initial height of the football, we need to determine the height when t=0. We can substitute t=0 into the equation:
h(0) = -16(0)² + 80(0) + 1
h(0) = 1
We can find the time at which the vertical velocity is zero by finding the vertex of the parabolic function. The vertex can be found using the formula:
t = -b/2a
where a = -16 and b = 80. Substituting these values into the formula gives:
t = -80/(2(-16)) = 2.5
Therefore, it takes 2.5 seconds for the football to reach its maximum height.
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What is y 3x 10 in function notation?
The equation y = 3x + 10 can be written in function notation as f(x) = 3x + 10.
In this notation, x is the input variable, and f(x) is the output or dependent variable.
Function notation is used to express the relationship between two variables, where one variable is a function of the other. In this case, the equation y = 3x + 10 tells us that y is a function of x, with a slope of 3 and a y-intercept of 10.
So, in function notation, this equation can be written as:
f(x)=3x+10
In conclusion, the equation y = 3x + 10 can be written in function notation as f(x) = 3x + 10. This notation expresses the relationship between the two variables x and y, where y is a function of x, represented by f(x) with a slope of 3 and a y-intercept of 10.
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The complete question is:
What is y = 3x + 10 in function notation?
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What is the formula for a 45 degree triangle?
Using the formula of Pythagorean Theorem we can find a 45 degree triangle.
The degrees of the triangle's three inner angles give rise to its name, 45, 45, and 90. The triangle formed by the angles 45, 45, and 90 is said to be isosceles since two of the angles are less than the third.
Due to the fact that this triangle has one angle that is precisely 90 degrees, it is also regarded as a right triangle.
The following guidelines apply to the 45-45-90 triangle's characteristics:
1. There must always be a right angle in one angle.
2. The second pair of angles must always be 45-degree angles.
3. A triangle has two equal-length sides, but the third side is always longer.
Using the Pythagorean Theorem - Since a 45-45-90 triangle has a right angle, the length of its sides may be calculated using the Pythagorean Theorem.
Recall the formula for the Pythagorean Theorem:
a^2 + b^2 = c^2.
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What is the secant segment theorem?
The secant segment theorem states that If two secant segments intersect outside a circle, then the product of the secant segment with its external portion equals the product of the other secant segment with its external portion.
A secant is a line on the circle that connects exactly two distinct points on the curve. Secant is not a chord but a chord is part of a secant. Two different secants can intersect each other internally or externally.
Further, the secant segment theorem defines two more theorems or properties and they are:-
The angle formed by two internally intersecting secants in a circle is half the sum of the intercepted arcs.The angle formed by two externally intersecting secants in a circle is half the difference between the intercepted arcs.Arcs are line segment that is part of the circumference of a circle. It is like a smooth curve that joins two points. If an arc is of exactly the half-length of circumference then it is called a semicircular arc.
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The length of a rectangle is 7 les than twice the length of the width if the area of the rectangle is 15 square meters, find the dimensions of the rectangle define your variables and write an equation PLEASE HURRY SHOW STEPS
For the given area 15 m², The length of rectangle is 3 and breadth is 5.
The equation for calculating a rectangle's area. Rectangle's surface area. A = l × b. Once the length and breadth of a rectangle are known, its area may be computed. The area of the rectangle can be calculated as a square unit by multiplying the length and width.
Given,
Let length of rectangle = L
Breadth of rectangle = B
According to the question,
L = 2B - 7
Area = 15 m²
Area of rectangle = Length × Breadth
⇒ 15 = (2B - 7)(B)
⇒ 15 = 2B² - 7B
⇒ 2B² - 7B - 15 = 0
⇒ 2B² - 10B + 3B - 15 = 0
⇒ 2B(B - 5) + 3(B - 5) = 0
⇒ (2B + 3)(B-5) = 0
⇒ B = 5 or B = -3/2
The value of Breadth cannot be negative
L = 2(5) - 7
L = 3
The length of rectangle is 3 and breadth is 5.
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hi i dont know can u may answer???????
Answer:
B) 2 5/8 - 1 4/8
Step-by-step explanation:
I'm bad at explaining but I hope this helps!! ₍^ >ヮ<^₎
The following bar graph summarizes the weather conditions in Crayonton for each day this month so far.
The reasonable estimate of the probability that it is sunny tomorrow is 25%.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Probability of an event is calculated by dividing the number of desirable outcomes by the total number of events possible.
From the graph, we have,
Number of days weather is sunny = 3
Total number of days = Days weather is sunny + Days weather is cloudy + Days weather is rainy + Days weather is snowy
Total number of days = 3 + 5 + 2 + 2 = 12
Probability that weather is sunny = 3 / 12 = 1/4 = 0.25 = 25%
Hence there is a 25% probability that weather is sunny.
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The complete question is as follows :
The following bar graph summarizes the weather conditions in Crayonton for each day this month so far. Based on this data, what is a reasonable estimate of the probability that it is sunny tomorrow? Choose the best answer.
A traveler is walking on a moving walkway in an airport. The traveler must walk back on the walkway to get a bag he forgot. The traveler's ground speed is 1 ft/s against the walkway and 5 ft/s with the walkway. What is the traveler's speed off the walkway? What is the speed of the moving walkway?
Answer:
this is it
Step-by-step explanation:
The number of fish in a lake decreased by 53% between last year and this year last year there where 245 fish in the lake what is the population this year?
The number of fish remaining in the lake this year will be 115.
What does a population mean?A population mean any group that shares at least one characteristic. Populations are more than just individuals. People, animals, businesses, buildings, motor vehicles, farms, objects, or events are examples of populations.
Data
The decrement in number of fish = 53%.
Number of fish previous year = 245
Remaining number of fish will be 47%.
The population of fish this year will be:
= 47% * 245 fish
= 115 fish.
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HELP ME PLEASE!!!!!! Q and R are independent events. if P(Q)=1/8 and P(R)=2/5 find P(Q and R). 19/40,21/40,1/20
Answer:
Step-by-step explanation:do 1/8 *2/5*=
Ryan deliver flower to two cotumer. He drive 12 minute at an average peed of 40 mile per hour to reach the firt cotumer. He drive for 15 minute at an average peed of 50 mile per hour to reach hi econd cutomer. During the 27 of driving time how many mile doe Ryan drive?
The total distance Ryan drives during the 27 minutes of driving time is 20.5 miles.
Ryan delivers flowers to two customers and drives 12 minutes at an average speed of 40 miles per hour to reach the first customer and 15 minutes at an average speed of 50 miles per hour to reach the second customer.
To find the total distance that Ryan drives during the 27 minutes of driving time, we can use the formula: distance = speed x time
We know that Ryan drives 12 minutes at 40 miles per hour and 15 minutes at 50 miles per hour. So we can use the formula to find the distance for each part of the trip and then add them together:
distance = 40 miles/hour x (12 minutes / 60 minutes/hour) = 8 miles
distance = 50 miles/hour x (15 minutes / 60 minutes/hour) = 12.5 miles
The total distance Ryan drives during the 27 minutes of driving time is 8 miles + 12.5 miles = 20.5 miles
Therefore, The total distance Ryan drives during the 27 minutes of driving time is 20.5 miles.
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What are the two types of inequality?
There are many different types of inequality, but generally, they can be grouped into two main categories economic inequality and social inequality.
Economic inequality: This refers to the unequal distribution of wealth, income, and resources among individuals or groups within a society. Economic inequality can manifest in various forms, such as income inequality, wealth inequality, and poverty.
Social inequality: This refers to the unequal distribution of social status, power, and privilege among individuals or groups within a society. Social inequality can manifest in various forms, such as discrimination, prejudice, and bias, which can limit opportunities and access to resources for certain groups.
It's important to note that these two types of inequality are often interconnected and can have a significant impact on individuals and groups, leading to reduced opportunities, access to resources, and lower quality of life.
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dose anyone know how to do this attached below
The area of the shaded section is approximately equal to 219.711 square meters.
How to determine the area of the shaded section
In this problem we find the case of a shaded section, whose area must be determined. This can be realized by finding the area of rhombus OPQR and subtract the circular section OPR from it. All missing lengths of the triangles from the rhombus can be found by trigonometric functions.
The formula to determine the area of the shaded area is:
A = 2 · 0.5 · OR · RQ - (140 /360) · π · OR²
RQ = OR · tan 70°
If we know that OR = 12 m, then the area of the shaded section is:
RQ = 12 · tan 70°
RQ = 32.970
A = 2 · 0.5 · OR · RQ - (140 /360) · π · OR²
A = OR · RQ - (7π / 18) · OR²
A = 12 · 32.970 - (7π / 18) · 12²
A ≈ 219.711 m²
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Find an expression to present the perimeter of the triangle below
i am sorry i don't know the answer
Sarah needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4. 25 hours and charged her $54 for parts. The total was $585. 25. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
The labour cost per hour charged by the technician for the laptop is $124.91
Here we see that it cost Sarah $54 dollars for the parts. Now, the technician charged her $585.25.
Since nothing else is mentioned, we will assume that the technician charged Sarah only for the parts and their labour hours.
Hence after deducting the charge for the computer parts, we can get the cost for the labour. We know the labour hours to be 4.25 hours. We don't know the labour cost, which is to be found.
Let the cost of labour per hour be $x
Hence the labour cost will be $4.25x
Adding the cost of parts will give us the charged amount. Hence we get
4.25x + 54 = 585
or, 4.25x = 531
or, x = 531/4.25
or, x = 124.941
Hence the cost per hour is $124.941
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You earn $28.50 per hour. Worked 34 hours last week. What was your gross pay?
Your answer
Answer:$969
Step-by-step explanation:
A jacket costs $75, and it is on sale for 60% off. What is the discounted price of the jacket?
Explain what you did.
Answer:$30
Step-by-step explanation:
$75 jacket is 60% off
Step 1: Plug in numbers
Use is/of=%/100 method
is/75=60/100=45
Step 2: Find the Price of Discounted Jacket
75-45=$30
Answer:
The discounted price of the jacket is $30-----------------------------------
Initial cost is $75 and the discount is 60%.
Subtract 60% to find the discounted amount:
75 - 60% = 75 - 75*60/100 = 75 - 45 = 30can you use the angel bisector theorem to solve for m∠TVW?
So, on solving the provided question we can say that in this quadrilateral we know that sum of all angles is 360, so other will be 90 each too.
what is quadrilateral?A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
here in this quadrilateral
we know that sum of all angles is 360
two of the are 90 each
so other will be 90 each too.
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Can you PLSS help me answer these question?
AND PLS GIVE A EASY + DETAILED STEP BY STEP ON HOW U GOT THE ANSWER BC IM SLOW LOL
1. 3x - 2y = 11
x + 2y=9
2. 3x + y= 9
2x+ y = 5
3. -x - 2y=4
3x + 2y=4
4. x + 3y= (-2)
3x + 4y= (-1)
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
[tex]\displaystyle \left \{ {{3x-2y=11} \atop {x+2y=9}} \right.\\\\(3x-2y)+(x+2y)=11+9\\3x+x-2y+2y=20\\4x=20\\x=5\\\\x+2y=9\\5+2y=9\\2y=4\\y=2\\\\(5,2)[/tex]
Problem 2
[tex]\displaystyle \left \{ {{3x+y=9} \atop {2x+y=5}} \right.\\\\(3x+y)-(2x+y)=9-5\\3x-2x+y-y=4\\x=4\\\\2x+y=5\\2(4)+y=5\\8+y=5\\y=-3\\\\(4,-3)[/tex]
Problem 3
[tex]\displaystyle \left \{ {{-x-2y=4} \atop {3x+2y=4}} \right.\\\\(-x-2y)+(3x+2y)=4+4\\3x-x-2y+2y=8\\2x=8\\x=4\\\\-x-2y=4\\-4-2y=4\\-2y=8\\y=-4\\\\(4,-4)[/tex]
Problem 4
[tex]\displaystyle \left \{ {{x+3y=-2} \atop {3x+4y=-1}} \right.\\ \\\\\left \{ {{3x+9y=-6} \atop {3x+4y=-1}} \right.\\\\(3x+9y)-(3x+4y)=-6-(-1)\\3x-3x+9y-4y=-6+1\\5y=-5\\y=-1\\\\x+3y=-2\\x+3(-1)=-2\\x-3=-2\\x=1\\\\(1,-1)[/tex]
Basically, the goal is to eliminate one variable from a system of equations to solve for the other variable. In the case of problem 4, we had to multiply an equation by a constant in order to eliminate that variable.
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How would you classify angle 1 and angle 5?
Answer: Alternate Exterior Angles
Step-by-step explanation:
Simply, both angles are outside the paralell lines.
Why are all the multiples of 8 even?
All the multiples of 8 represents they are even numbers because of the following property:
Odd × even = Even
As given in the question,
Given number is equal to 8,
Multiples are those numbers which we get after multiplying the given number to any of the integer.
Multiples of 8 are equal to:
8, 16, 24, 32, 40, 48, 56, ..... so on.
Even numbers are those numbers which get divided by 2 without leaving the remainder.
Odd × odd = Odd
Even × even = even
Odd × even = Even
When we multiply any number by an even number result is always an even number.
Example:
2 (even) × 2(even) = 4(even)
2 (even) × 3 (odd ) = 6 (even)
Here
8 is an even number multiplying any integer to 8 is always an even number.
Therefore, all the multiples of given number 8 are always an even number as Odd × even = Even.
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Plot a point on the coordinate plane to represent each of the ratio values in the table.
The points on the coordinate plane which represent the ratio values given in the table are given attached, where Distance is on the Y-Axis and Time is on the X-Axis.
Ratio data is a type of numerical (quantitative) data. It computes the distance between neighboring numbers on a continuous scale.
While it shares these characteristics with interval data (another form of quantitative data), ratio data is distinguished by the presence of a 'real zero.' In other words, a ratio scale measure of zero is absolute: ratio data can never be negative.
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I'm not sure how to solve it
Answer: x = 3; y = -2
Step-by-step explanation:
Simultaneous Equations:
3^(2x) x 3^(3y) = 3^0
2x + 3y = 0
2^(2x) x 2^(-0.5y) = 2^7
2x - 0.5y = 7
2x = -3y
-3y - 0.5 y = 7
y = -2
x = 3
Answer:
x=3 y=-2
Step-by-step explanation:
its at the bottom of the page ♂️♂️
find the probablility that the sum of two randomly chosen numbers from the set{0,1,2,3,4,5,6,7,8,9} is no grreater than 10
Answer:
1 /5
Step-by-step explanation:
formulae -
possible outcomes / total chances
2/10
1/5
What is equality for Class 7?
In mathematics, equality refers to the relationship between two expressions or values, indicating that they are equivalent or have the same value.
For example, the equation "2 + 3 = 5" states that the left side of the equation (2 + 3) is equal to the right side of the equation (5). Equality can be represented using the symbol "=", which is called the equality sign or equal sign.
Equality can also be used in other mathematical concepts such as congruence, similarity, and equivalence. For example, two triangles are congruent if they have the same shape and size, two figures are similar if they have the same shape but different sizes, and two equations are equivalent if they have the same solutions.
Equality in mathematics is transitive, meaning that if a = b and b = c, then a = c, and reflexive, meaning that a = a for any value of a.
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Can someone please help me with problem 6 of this assignment?I included the measurements of the triangle so that you are able to solve it accurately.
Geometry Topic: 6.1 - 6.4 Constructing Parts and Centers
Problem 6 Directions: Remember! Triangle centers may be outside the triangle. Locate the orthocenter of each triangle by finding the intersection of the altitudes.
Answer:
see drawing
Step-by-step explanation:
what is 7/10+1/2+38 and type the anserw for me betterly
Answer: 39 1/5
Step-by-step explanation:
7/10 + 1/2 + 38
= 7/10 + 5/10 + 38
= 12/10 + 38
= 38 12/10
= 39 2/10
= 39 1/5
If the 38 was supposed to be 3/8, heres the answer :
7/10 + 1/2 + 3/8
= 28/40 + 20/40 + 15/40
= 63/40
= 1 23/40
Marty is making a layaway purchase of a $2,050 sofa at Frank's Furniture Store. He will be paying $173.19 every 2 weeks for 32 weeks on a layaway plan. What is
the layaway fee for this purchase?
$721.07
$721.06
$721.04
$721.05
Answer:
Step-by-step explanation:
The layaway fee for this purchase should be considered as the $60 when the purchase should be done.
Marty is making a layaway purchase of a $1,500 couch at Frank’s Furniture Store. He will be paying $156 every 2 weeks for 20 weeks
So, it can be like
= $1,560 - $1500
= $60
The layaway fee for this purchase should be considered as the $60 when the purchase should be done.
What is equivalent to 3/4 equal 6/?
The equivalent to 3/4 equal 6/ is 8
What is equivalent fraction?
Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, 2/4 and 3/6 are equivalent
from the question,
3/4 equal 6/?
Let x represent the unknown value
= 3/4=6/x
We can simplify this by cross multiplying
3x=24
Divide both sides of the equation by 3
3x/3 = 24/3
x=8
Hence the equivalent to 3/4 equal 6/? is 8
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What are the 5 steps in solving rational inequality?
The following are the 5 steps in solving a rational inequality: simplifying the inequality, factoring the numerator and denominator of the inequality, set the numerator and denominator equal to zero.
Solving a rational inequality involves isolating the variable and determining the range of values that make the inequality true.
Simplify the inequality by clearing any fractions: This can be done by multiplying both sides of the inequality by the least common multiple (LCM) of the denominators of the fractions.
Factor the numerator and denominator of the inequality: This can be done to cancel out any common factors between the numerator and denominator.
Set the numerator and denominator equal to zero and solve for the zeros: This can be done to find the values of the variable that make the numerator and denominator equal to zero.
Test the zeros and any critical values: This can be done by substituting the zeros and critical values back into the inequality and determining if they make the inequality true or false.
Plot the solution on the number line: This can be done by plotting the zeros and critical values on a number line and shading the region that makes the inequality true.
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