Therefore, the players are 6.84 meters apart from each other.
What is a projectile?An item that is propelled by the application of an external force and then travels freely while being affected by gravity and air resistance is referred to as a projectile. Projectiles are generally used in sports and combat, despite the fact that every item traveling through space is a projectile.
What is tangent?The straight line that traverses a point with a slope equal to the derivative of the curve at that location is said to be the tangent line to a plane curve at that point in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together.
If we let x be the distance between the players, then we can use the tangent function to relate the angle of elevation to the distance between the player and the basket:
tan(40°) = 3.5/x
tan(50°) = 3.5/(x+1)
We can solve for x in both equations, and set them equal to each other, we get x= 6.84m
Therefore, the players are 6.84 meters apart from each other.
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A line with a slope of 0 passes through the points (-2,0) and (-8,c). What is the value of c?
The value of c will be 0.
What is a slope?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx.
The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
m = y2 - y1 / x2 - x1
where m = 0
y2 = c
y1 = 0
x1 = -2
x2 = -8
0 = c - 0 / -8 - -(2)
0 = c - 0 / -8 + 2
0 = c - 0 / -6
c - 0 = -6(0)
c - 0 = 0
c = 0
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What is the solution for 7x 5 =- 19?
x = - 8 is the solution for 7x + 5 = - 19. This can be solved using the concept of equation solving.
What is an equation?The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.
Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.
7x + 5 = -19
or, 7x = - 19 - 5
or, 7x = - 24
or, x = - 8
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A recipe ue 1/3 cup of flour and 1/8 cup of ugar. How much flour and ugar doe the recipe ue altogether
Altogether, the recipe uses 1/2 cup of flour and 1/8 cup of sugar.
What is altogether?Altogether in math refers to the sum of two or more numbers or values. It is a way of combining two or more items to obtain a total. In math, the term "altogether" is used to denote the sum of all the individual items, as opposed to all of them considered as one. For example, the sum of the numbers 2, 4, and 6 is 12, which is the "altogether" in math.
To calculate this, we must convert the fractions into decimals and then add them together.
The 1/3 cup of flour can be converted to 0.33 cup, and the 1/8 cup of sugar can be converted to 0.125 cup.
When added together, they equal 0.455 cup, or 1/2 cup. Therefore, the recipe uses a total of 1/2 cup of flour and 1/8 cup of sugar.
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A coat hanger has four knobs, and each knob can be painted any color. If six different colors of paint are available, how many ways can the knobs be painted
If six different colors of paint are available, 360 ways can the knobs be painted.
how many ways can the knobs be painted?A coat hanger has four knobs, and each knob can be painted any color. If six different colors of paint are available,
When examining permutations and combinations, we use factorials. Permutations tell us how many different ways we can arrange things if their order matters. Combinations tells us how many ways we can choose k item from n items if their order does not matter.
coat hanger has four knobs
6! / 4! ( 4!)
6 * 5 * 4* 3 / 4 * 3 * 2* 1 (4 * 3 * 2 * 1)
= 30 * 1 2
=360
360 ways can the knobs be painted.
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. Which of the following is the graph of the equation y = 2x + 3?
Answer:
The graph of the equation y = 2x + 3 is a straight line that passes through the point (0,3) and has a slope of 2.
It can be represented as a set of points in a coordinate plane. The slope of the line is 2, so for every unit increase in x (horizontal coordinate), y (vertical coordinate) increases by 2 units. The y-intercept of the line is 3, so when x is 0, y equals 3.
A line passing through (0,3) with a slope 2 can be represented as (x, 2x + 3)
It is important to note that an equation in the form of y = mx + c, with m being the slope and c being the y-intercept, always represents a straight line in a coordinate plane.
Step-by-step explanation:
For each set of values for a and b evaluate the given expressions and record your answers in the table. ( I only need this one).
A = -1/2 B =6
A divided by -b
PLEASE HELP
Answer:
Set1 = 1/12
Set2 = 1/12
Set3 = -12
Step-by-step explanation:
Substitute, use Keep-Change-Flip to handle division when there's fractions involved. See image.
Also to multiply fractions, multiply
top×top and bottom×bottom straight across. Also negative times a negative is a positive and negative is like opposite so -(-6) is 6 and -(-1/2) is 1/2.
see image.
How do you compare two graph functions?
Two graph functions can be compared by analyzing their shape, direction, and relative position.
To compare two graph functions, one must look at the overall shape of the graphs, which can be either linear, quadratic, cubic, or some other shape. The direction of the graph, whether it's increasing or decreasing, should also be considered. The relative position of the graph, including the x and y intercepts, as well as any asymptotes, should also be considered.
Additionally, it's important to examine the domain and range of the function, which are the set of input values and output values that the function can produce, respectively. By comparing these different aspects of the graph, one can determine the similarities and differences between the two functions and draw conclusions about their behavior.
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In baseball, each time a player attempts to hit the ball, it is recorded. the ratio of hits compared to total attempts is their batting average. each player on the team wants to have the highest batting average to help their team the most. for the season so far, jana has hit the ball 7 times out of 10 attempts. tasha has hit the ball 10 times out of 16 attempts. which player has a ratio that means they have a better batting average? tasha, because she has the lowest ratio since 0.7 < 0.625 tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80 jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80 jana, because she has the lowest ratio since 0.7 < 0.625
Answer: i need your help, XD
Step-by-step explanation:
What is the value of log2 base 2?
the value of log2 base 2 is 1 because if base and logrithm value is same then it is always one
How do you find the value of log base 2?
Properties of Log Base 2
Multiply two numbers with base 2, then add the exponents. Divide two numbers with the base 2, subtract the exponents. Power Rule: Raise an exponential expression to power and multiply the exponents.
Use the change-of-base formula:
since we know that natural log and log with base 10 are different
So, if we want to write log3(6) as a logarithm of base 2, in these example a = 3, x = 6, b = 2:
Hence , the value of log2 base 2 is 1 because if base and logrithm value is same then it is always one
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what coordinates apply to y>2+9x
The coordinates that can be applied to the equation y > 2 + 9x is the cartesian coordinate system
What is cartesian coordinate system?
A system that identifies your precise location on a graph is the Cartesian coordinate system.
This system can be used to graph a collection of points that will give your equations' solutions, which makes it handy. Each axis will have its own variable in the equations that are employed with this system.
The x-axis, a horizontal axis, and the y-axis, a vertical axis, are the two axes that make up the Cartesian coordinate system.
The variables x and y will be present in equations for lines in this system.
Hence the cartesian coordinate system is applicable for the equation given as y > 2 + 9x
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i need help on both sections PLEASE!!!
Answer:
Step-by-step explanation:
a.3x-2
b.3x+2
c.3x-2
d.3x-2
so. the answer are a, c, d equivalent to 3x-2
A colony of 100,000 bacteria doubles every 31 minutes. To the nearest whole number, what will the population be 124 minutes from now?
Answer:
Below
Step-by-step explanation:
How many times will the colony double ? 124 / 31 = 4 times
2^4 * 100 000 = 1 600 000
Rafael claims it's easiest to score points when a scatterplot has a linear association. Sahana says it's easiest when a scatterplot has a strong association.
Who is correct?
Rafael claims it's easiest to score points when a scatterplot has a linear association. Sahana says it's easiest when a scatterplot has a strong association. Both Rafael and Sahana are correct, in their own way.
A scatterplot with a linear association means that there is a straight line relationship between the two variables being plotted. In such a scatterplot, it is relatively easy to make predictions based on the line of best fit, as well as to calculate the correlation coefficient(r), which can indicate the strength and direction of the linear relationship.
On the other hand, a scatterplot with a strong association means that the points in the plot are closely grouped together, indicating a high degree of correlation between the variables. It is relatively easy to make predictions based on the overall pattern of the points in the scatterplot, even if there is no clear linear relationship.
So, Rafael is correct that scoring points is easiest when a scatterplot has a linear association because it is relatively easy to make predictions based on the line of best fit and correlation coefficient. And Sahana is correct that scoring points is easiest when a scatterplot has a strong association because it is relatively easy to make predictions based on the overall pattern of the points in the scatterplot.
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two cards are chosen at random from a deck of 52. what is the probability that both cards are numbers (2 through 10) totaling to 12
The probability is 0.3845.The probability of anything occurring is known as probability.
How are probabilities calculated?The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.Explanation:
2/52 * 10/52 = 20/52 = 0.3845.
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HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer:
2nd choice: -3x - 5 = 10
Step-by-step explanation:
10 - x = -5
-x = -5 - 10 = -15
-3x - 5 = 10
-3x = 10 + 5
x = 15/-3 = -5
Choose three true statements about the angles of the figure
1: Z1 and the 55* angle are adjacent
2: mZ1=55* because Z1 and the 55* angle are vertical angles
3: mZ2=125* because Z2 and the 55* angle are supplementary
4: mZ2 cannot be determined from the information
5: mZ1=180*-55*
6: mZ2=180*-55*-45*
Answer:
2,5,6
Step-by-step explanation:
-Z1 and 55*are vertical angles
-Z1 and 55*are angles on a straight line=180*
this means 180*=55*+Z1
make Z1 subject of the formula- Z1=180*-55*
- mZ2,55*,45* are all angles in the given triangle
since the sum of angles in a triangLe =180*
therefore-180*=Z2+55*+45*
make Z2 the subject of the formulary
Z2=180*-55*-45*
Given ƒ(x) = − x² – 14, find ƒ (6)
Answer:
f(6) = - 50
Step-by-step explanation:
substitute x = 6 into f(x) , that is
f(6) = - 6² - 14 = - 36 - 14 = - 50
Answer:
-50
Step-by-step explanation:
f ( x ) = - x² - 14
Accordingly, to find the value of f ( 6 ) you have to replace x with ( 6 ).
f ( 6 ) = - (6)² - 14
f ( 6 ) = - 36 - 14
f ( 6 ) = -50
Jeris Shoppe marks up every item 75% over the wholesome price. If a sweater costs $16.00 from the wholesaler, how much will the sweater retail for at Jeris?
Answer:
$28
Step-by-step explanation:
175%*16.00 = 175/100 * 16.00
Put it int he calculator to get 28 dollars
How do you find the zero’s algebraically?
To find the zeros of a polynomial algebraically, you can use the following steps:
Write the polynomial in standard form, with the terms arranged in descending order of the degree of the term. For example, if the polynomial is 3x^2 - 2x + 5, it is already in standard form.
Set the polynomial equal to zero. For example, if the polynomial is 3x^2 - 2x + 5, you would set the equation equal to zero like this:
3x^2 - 2x + 5 = 0
Use the quadratic formula to find the solutions (i.e., the zeros) of the equation if the polynomial is a quadratic (degree 2). The quadratic formula is:
x = (-b +/- sqrt(b^2 - 4ac)) / (2a)
where a, b, and c are the coefficients of the polynomial, and sqrt represents the square root.
For example, if the polynomial is 3x^2 - 2x + 5, the solutions would be:
x = (-(-2) +/- sqrt((-2)^2 - 4 * 3 * 5)) / (2 * 3)
x = (2 +/- sqrt(4 - 60)) / 6
x = (2 +/- sqrt(-56)) / 6
Since the square root of a negative number is not a real number, there are no real solutions (zeros) for this polynomial.
Use the Rational Root Theorem to find the solutions of the equation if the polynomial is not a quadratic. The Rational Root Theorem states that if a polynomial of degree n has a rational root p/q (where p and q are integers and q is not equal to zero), then p must be a divisor of the constant term and q must be a divisor of the coefficient of the term of highest degree.
For example, if the polynomial is x^3 - 2x^2 + x - 6, the constant term is -6 and the coefficient of the term of highest degree is 1. The divisors of -6 are -6, -3, -2, -1, 1, 2, 3, and 6. The divisors of 1 are 1 and -1. Therefore, the possible rational roots of this polynomial are -6, -3, -2, -1, 1, 2, 3, and 6.
To find the actual roots, you can try each of these numbers as a root and see if it works. For example, if you try -6 as a root, you would get:
(-6)^3 - 2(-6)^2 + (-6) - 6 = 0
(-216) - (-72) + (-6) - 6 = 0
-144 - 6 - 6 = 0
-156 = 0
This equation is not true, so -6 is not a root of the polynomial. You can repeat this process for each of the other possible rational roots until you find all of the roots of the polynomial.
I WILL MARK BRAINLYIST
Describe a meal that you could put together that provides 4 servings of both a main
course and a side dish. Explain how you know that it will not exceed the weight limit of the box
A meal that you could put together that provides 4 servings of both a main
course and a side dish and not exceeding the weight limit is 4 servings of
chicken and 4 servings of baked beans.
What are the types of representing data?Data refers to the elements that make up persons, things, events, and ideas. It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics. The presentation of data is the name given to such a configuration.
Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.
Given, Each box can hold a maximum of 44 ounces.
By observing the given table we see 4 servings of chicken would weight
2×12.6 oz = 25.2 oz.
And 4 serves of baked beans weigh 14.2 oz.
Therefore, The total serving would weigh (25.2 + 14.2) oz.
= 39.4 oz.
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Sasha is a journalist for an online school magazine. She wants to know what topic readers are not interested in for the next publication
Sasha puts a survey on the magazine's website and considers the first 25 responses. Are conclusions drawn from this sample likey to be true for all readers of the magazine?
Answer:
Step-by-step explanation:
No, some people don't like certain things. It like saying that you pick five random people who are at a science fair and ask them if they like science, the answer would be yes, but if you went to Walmart and asked five random people if they liked science your answers would most likely end up being no. It's the same way looking at the magazines.
PLEASE HELP ASAP!!!
ABCD is an isosceles trapezoid with legs ▁AB and ▁CD, and base ▁BC.
If the length of ▁AB = -3y+54, the length of ▁BC = 5y+ 2, and the length of ▁CD is 6y + 9, find the value of y.
The value of 'y' in the isosceles trapezoid ABCD is 14 and this can be determined by using the properties of isosceles trapezoid.
What is Triangle ?
Triangle can be defined as which contains three sides, three angles and the sum of the angles is 180 degrees.
Given ,
ABCD is an isosceles trapezoid with legs AB and CD and base BC.
If the length of AB is (7y - 4),
the length of BC s (4y - 6),
and the length of CD is (8y - 18).
The two legs are of equal length In any isosceles trapezoid that means:
7y - 4 = 8y - 18
Add 18 on both sides in the above equation.
7y - 4 + 18 = 8y - 18 + 18
7y + 14 = 8y
Now, subtract 7y on both sides in the above equation.
7y + 14 - 7y = 8y - 7y
Simplify the above expression in order to get the value of 'y'.
y = 14
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Alex, beverly and carl live on the ame traight road. Alex live 12 mile from berverly and carl 4 mie from berve,y, how far doe alex live from carl?
If we assume that Cal lives between Beverly and Alex: so the distance between the two of them is 11-4 = 7 miles.
What is the number line and why is it used?Number line is a line contain every real numbers which includes all rational and irrational number. Generally we use it for determining ranges of a set. Using number line we can understand range and domain of function easily. A number line is a picture representation of real numbers evenly laid out on a straight line.
How far is from 0 on a number line?The distance from zero of a positive number r is simply r. But if r is negative, then we make a positive number by multiplying by -1, in other words -r is the distance in that case.
There is a standard mathematical function that does this, called the modulus function.
And whether r is positive or negative we write it like this |r|
So for example |100|=100 and |-100|=100 as well.
Alex is 11 miles away, and Cal is 4 miles away, so the distance between the two of them is 11-4 = 7 miles.
If we assume that Cal lives on the opposite side of Beverly from Alex:
Alex is 11 miles away from Beverly, and Cal is 4 miles away from Beverly in the opposite direction from Alex, so the distance between Alex and Cal is 11 + 4 = 15 miles.
The easiest way to see this is by creating a number line.
(for the first possible solution) If you put Beverly as a point, let's call it 0, then we would put Alex at 11 and Cal at 4, and the distance between them is 7.
(for the second possible solution) If you put Beverly as a point, 0, then we would put Alex at 11 and Cal at -4, and the distance between them is 15.
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I don’t know just need the answer
On solving the provided question we can say that It is isosceles triangle the value of QR is 1.3
An isosceles triangle is what?Therefore, an isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal. An isosceles triangle is one that has two equal-length sides in geometry. With the latter specification, the equilateral triangle is included as a special case even though it is commonly stipulated that it must have at least two sides of equal length.
It is isosceles triangle so, that
ratio of QT/QR = ET/RS
4.7/X = 4.7/1.3
X = 1.3
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I need help on this math question !!! All the questions are on the second screenshot and there is a graph included .
The blank words are 5 cm, 5 cm, 5 cm, 5 cm, adjacent, equal, 3/4, -4/3, 3/4, -4/3, adjacent, perpendicular, equal.
What is quadrilateral?
A quadrilateral in geometry is a four-sided polygon with four edges and four corners.
I will prove that quadrilateral KLMN is a square by demonstrating that
all sides are of equal measure,
and adjacent sides are perpendicular.
To prove all sides are equal:
KL = 5 cm
LM = 5 cm
MN = 5 cm
NK = 5 cm
The four sides are of 5 measure.
To prove adjacent sides are perpendicular:
slope of KL = 3/4
slope of LM = -4/3
slope of MN = 3/4
slope of NK = -4/3
The slopes of any pair of adjacent sides are perpendicular.
That being the case, those sides are equal.
Therefore, 5 cm, 5 cm, 5 cm, 5 cm, adjacent, equal, 3/4, -4/3, 3/4, -4/3, adjacent, perpendicular, equal are the blank words.
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What is the domain of √ 1 x²?
A domain has [-1, 1]
Now, According to the question:
Let's know:
How do you find the domain?
Let y = f(x) be a function with an independent variable x and a dependent variable y. If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.
A square root with a negative number under the root cannot produce a real number. This means that [tex]1-x^2[/tex] must be greater than or equal to zero.
Squaring a real number will always produce a positive number, so [tex]x^{2}[/tex]must be equal to or smaller than 1. This means x is between 0 and 1, giving the domain of [0,1].
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The complete question is this ;
What is the domain of [tex]\sqrt{1-x^2}[/tex]
I AM GIVING 30 POINTS!!!!!!!! TO WHOEVER ANSWERS THIS!!!! PLEASEPedro loves to try new adventures. His most recent was jumping out of an airplane. His special watch tells him his altitude. He set a timer at the moment he opened his parachute. His altitude relative to sea level, A, in feet, which is a function of time, in minutes, is shown in the table below. A t 11,100 4 7200 8 3300 12 A function could be written to describe the decent: Blank 1 = (Blank 2 )t + Blank 3
Answer:Sorry cant find
Step-by-step explanation:
B. ) For Service B, is the additional charge per mile greater or less than 30 cents per
mile of the trip? Explain your reasoning.
The additional charge per mile for Service B is less than 30 cents per mile of the trip. This is because the rate for Service B is 20 cents per mile plus a flat fee of $10, which works out to less than 30 cents per mile for longer trips.
For a trip of 10 miles, Service B would cost
(10 x 0.20) + 10
= $12.
For a trip of 20 miles, Service B would cost
(20 x 0.20) + 10
= $22.
Therefore, the additional charge per mile for Service B is
(12/10)
= 1.2 for the 10 mile trip and
(22/20)
= 1.1 for the 20 mile trip.
Both of these are less than 30 cents per mile.
The additional charge per mile for Service B is less than 30 cents per mile of the trip because the rate for Service B is 20 cents per mile plus a flat fee of $10, which works out to less than 30 cents per mile for longer trips. To demonstrate this, for a 10 mile trip, the total cost would be $12, and for a 20 mile trip, the total cost would be $22. This works out to an additional charge per mile of 1.2 and 1.1 cents respectively, which are both less than 30 cents per mile.
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choose sss, sas, or neither to compare these two triangles
Answer:
SSS
Step-by-step explanation:
We have three pairs of corresponding, congruent sides. Therefore, the SSS Postulate can be used to prove the two triangles congruent.
What ordered pairs are the solutions of the system of equations shown in the graph below?
(__, __) and (__, __)