Evaluate
-3 (2) (-1) (4)
64854755555557427382675
A basketball player has made 21 of her last 30 free throws-a percentage of 70 % . How many more consecutive free throws does she need to raise her free throw percentage to 75 % ?
a. How can you model the player's free throw percentage as a rational function? (Hint: Let x= the number of additional free throws needed.)
For a 75% success percentage, she needs to hit 23 of her final 30 throws.
The rational function for a player's free throw percentage will be:
y = (21/30) * 100
How is rational function made?A function that is the sum of polynomials is referred to as rational. If a function of one variable, x, can be written as :
[tex]f(x) = p(x)/q(x),[/tex]
where p(x) and q(x) are polynomials with q(x) = 0,
then the function is said to be rational. The phrase f(x) = (x2 + x - 2) / (2x2 - 2x - 3) denotes a rational function; in this case, 2x2 - 2x - 3 = 0.
Every constant is a polynomial, thus we know that the numerators of rational functions may also be constants. A rational function would be f(x) = 1/(3x+1), for instance.
CALCULATIONIf the basketball player is making 70% successful throw rate by making 21 of last 30 free throws
so, for raising her throw rate to 75% she should throw:
x/30 * 100 = 75%
x = 75 * 3 / 10
x = 15 * 3 /2
x = 22.5 ≈ 23
therefore , she should make 23 of her last 30 free throws to raise her success rate to 75%
For this case what you should do is write the following function:
y = (a / b) * 100
Where,
A: amount of successful free throws
B: total amount of free throws
Substituting values we have:
y = (21/30) * 100
The result is:
Y = 70% (as we expected)
a rational function that can model the player's free throw percentage is:
y = (21/30) * 100
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the stock market fell 60 points over a period of 4 days. what was the average change in the stock market each day?
The average change in the stock market is 15 points each day.
Average is calculated by dividing the total number of values in a given set by the arithmetic mean of the sum of all the values. For groups of values that are nearly identical, an average is calculated. The numerical value that represents a lot of data is referred to as the average.
The stock market fell by 60 points
No. of days stock market fell = 4 days
The formula for average is given by:
Average = Sum of observations/Total no. of observations
= 60/4
= 15 points
Therefore, the stock market fell by 15 points each day
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Use inductive reasoning to predict the next three numbers in the pattern
The inductive reasoning to predict the next numbers in the pattern is 1/256
Given ,
The pattern is 16,4,1,1/4,1/16 is 1/256
we apply the the Geometric progression formula
an=ar^n-1
an=16/4^n-1
so we get is 1/256.
A geometric progression is a sort of progression in which the succeeding terms have the same constant ratio, known as the common ratio. It is also known colloquially as GP. The GP is commonly expressed as a, ar, ar2...., where 'a' is the first term and 'r' is the progression's common ratio. There are two kinds of geometric progression. They have
There are two types of geometric progression: limited geometric progression and infinite geometric development.
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During the summer, you work 25 hours per week at the Twist Ice
Cream Shop and earn $8.00 per hour. You also mow lawns in your
neighborhood for $10 per hour and can work as many hours as
you want. You want to earn a total of $500 per week.
Barbara is in charge of the award medals for a sporting event. She has
31 medals to present to various individuals on 6 competing teams. She asserts that at least one
team will end up with more than 5 medals. Do you believe her
assertion? Justify your argument.
It should be noted that Barbara asserts that at least one team will end up with more than 5 medals. In this case,she's correct as a team will have 6 medals.
How to illustrate the information?From the information, Barbara is in charge of the award medals for a sporting event and she has 31 medals to present to various individuals on 6 competing teams.
It should be noted that each team will get:
= 31 / 6
= 5 remainder 1
Therefore, she asserts that at least one
team will end up with more than 5 medals. In this case, she's correct.
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Daniel wants to do 208 practice problems to prepare for an exam. If he wants to do 8 problems a day, how many days would it take him to complete 208 problems?
A number line going from 0 to 336.
26 days
13 days
12 days
8 days
Answer:
8 problems per day for
12 of the days and
9 problems per day for
24 of the days
Step-by-step explanation:
pls help i lll give brain ist yeah
Answer:
(10) 10^5
Step-by-step explanation:
pls solve this fraction by steps
Answer:
-30
Step-by-step explanation:
-5/2 × 12
= -5/2 x 12/1
= (-5 × 12)/(2 × 1)
= -60/2
= -30
Answer:
-30 if this equation is multiplication!
Step-by-step explanation:
-5/2 times 12 (OG equation)
-5/2 times 12/1 (Convert)
-5 times 12/ 2.1 (Fraction Rule)
-5 times 12/2 (Multiply)
-5 times 6 (divide 12 by 2)
-30 (Simplify)
Have a great day! :D
vector v is 448 M long and a 224 direction. Ha W is 336 M long in a 75.9 directions find the magnitude of their Vector sum
The magnitude of the sum of vectors is 240.8 M
How to find the magnitude of the vector sum?We know that vector V has a magnitude of 448 meters and a direction of 224°, then the components are:
x-component = 448m*cos(224°) = -322.3my-component = 448m*sin(224°) = -311.2 mThe other vector W has a magnitude of 336 meters and a direction of 75.9°, then the components are:
x-component = 336m*cos(75.9°) = 81.9my-component = 336m*sin(75.9°)= 325.9mNow if we add these two vectors, the coordinates of the sum are:
< -322.3m + 81.9m, -311.2 m + 325.9m> = <-240.4 , 14.7>
Then the magnitude is:
M = √( (-240.4)^2 + ( 14.7)^2) = 240.8
The magnitude of the sum of vectors is 240.8 M
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which is the oppisite of -12
The opposite of the number -12 is 12
How to determine the opposite of -12?The number is given as
Number = -12
As a general rule, the opposite of a number x is
Opposite = -x
This means that the opposite of -12 is 12
Hence, the opposite of -12 is 12
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a. The lengths of two sides of a triangle are 8 and 10 , and the measure of the angle between them is 40°. What is the approximate length of the third side?
Answer:
6.437
Step-by-step explanation:
By the Law of Cosines, if we let the length of the third side be x,
[tex]x^2 = 8^2 + 10^2 - 2(8)(10)\cos 40^{\circ} \\ \\ x=\sqrt{8^2 + 10^2 - 2(8)(10)\cos 40^{\circ}} \\ \\ x \approx 6.437[/tex]
Jermaine lives in Los Angeles and his cousin Brandon lives in San Francisco. The two cities are 381 miles apart. They want to meet somewhere in between the two cities. They start at 8:00 am in the morning. Jermaine drives at 67 miles per hour, and David drives at 60 miles per hour. What time will they meet?
If the two cities are 381 miles apart and speed of Jermaine is 67 miles per hour and the speed of David is 60 miles,then they will meet at 10:46 A.M.
Given that the two cities are at a distance of 381 miles and they start at 8:00 am in the morning.
We are required to find the time at which Jermaine and Brandon.
let the distance that Jermaine covers be x. In this way the distance that is covered is 381-x.
Time=Distance/speed
x/67=(381-x)/60
60x=67(381-x)
60x=25527-67x
137x=25527
x=25527/137
x=186.33
Distance that is covered by Brandon=381-186.33
=144.67 miles
Time taken by David=x/67
=186.33/67
=2.78 hours
We have to break an hour in 78% which is 46.8 minutes.
Actual time=(8+2)hours+46.8 minutes=10:46 A.M.
Hence if the two cities are 381 miles apart and speed of Jermaine is 67 miles per hour and the speed of David is 60 miles,then they will meet at 10:46 A.M.
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I need help to find each product for the blank first one and the bottom one simplify each expression
Just divide the numerator by the denominator . If you end up with a remainder of 0 , then you have a terminating decimal. Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal.
The term repeating decimals refers to non-terminating decimals that repeat. If the digits after the decimal point end, the number has a terminating decimal expansion.
A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic and the infinitely repeated portion is not zero. It can be shown that a number is rational if and only if its decimal representation is repeating or terminating
5- terminating
6- repeating
7- terminating
8-teminating
9-terminating
10-terminating
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A rectangular carpet measures 10 m by 6 m
Part of the carpet is covered by a square rug of length 2m
What fraction of the carpet is
covered by the rug?
Give your answer in its simplest form.
Optional working
Answer:
Answer:
Step-by-step explanation:
A rectangular carpet measures 8 m by 6 mPart of the carpet is covered by a square rug of length 2 m
what measurement is the same lenght as 1 meter
Answer:
1000 millimetre
0.001 kilometre
0.000001 megametre
An ant can walk 8 feet in 1 minute.
Write an equation which describes how many minutes, t, it takes for an ant to walk d feet.
Answer:
8=t/d
Step-by-step explanation:
Consider the system of linear
equations below. Choose nonzero values for a, b.
and c so the system satisfies the given condition.
Explain your reasoning.
x+y+z=2
ax + by + cz= 10
X- 2y+z=4
a. The system has no solution.
b. The system has exactly one solution.
c. The system has infinitely many solutions.
For no solutions, put a = b = c = -1, for exactly one solution, put a = 1 and b = c = 0 and for infinite solutions, put a = b = c = 5 in the system of linear equations.
We have the system of equations:
x + y + z = 2 …(1)
a x + b y + c z = 10 …(2)
x - 2 y + z = 4 …(3)
a. The system has no solution.
Put a = b = c = -1 in (2)
We get:
- x - y - z = 10
Now add (1) and (2)
0 = 12
which is not possible.
So, no solution.
b. The system has exactly one solution.
a = 1 and b = c = 0
We have the equations as:
x + y + z = 2 …(1)
x = 10 …(2)
x - 2 y + z = 4 …(3)
c. The system has infinitely many solutions.
a = b = c = 5
We will have the equations:
x + y + z = 2 …(1)
5 x + 5 y + 5 z = 10 …(2)
x - 2 y + z = 4 …(3)
Therefore, we get that, for no solutions, put a = b = c = -1, for exactly one solution, put a = 1 and b = c = 0 and for infinite solutions, put a = b = c = 5 in the system of linear equations.
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Which of the following relations is not a function?
A) (-7,4)
(4,3)
(-5, 1)
(6,2)
B) (-5,4)
(4,2)
(6,1)
(-7,5)
C) (6,4)
(-5,2)
(4,1)
(-7,2)
D (4,4)
(-5,2)
(4,1)
(-7,2)
Part (D) is not a function as he element 4 has two images in y that is 4 and 1.
We are given some relations.
We need to tell which of the following is not a function.
A relation is a function when every element of x has only one mapping on the every element of y.
That is when we put one value of x, there should not be 2 values for y.
For part (A),
It is a function as it satisfies the condition.
For part (B),
It is also a function as it also satisfies the condition.
For part (C)
It is also a function as it also satisfies the condition.
Fort part (D),
It is not a function as the element 4 has two images in y that is 4 and 1.
Therefore, part (D) is not a function as he element 4 has two images in y that is 4 and 1.
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How many feet of the parking lot are presented by 1 centimeter on the scale drawing?
The number of feet of the parking lot thay are presented by 1 centimeter on the scale drawing is 12 feet.
How to calculate the feet?The width of 48 feet is represented by 12.8cm; the length represented by 1cm is 48/12.8 = 15/4 = 3.75 feet.
The length on the drawing is 3.2cm, which is exactly 1/4 of the width of 12.8cm.
It should be noted that therefore the length of the actual parking lot is 48/4 = 12 feet.
In conclusion, it is 12 feet.
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The width of the parking lot is 48 feet. How many feet of the parking lot are represented by 1 centimeter. Based on the scale drawing, what is the length, in feet, of the actual parking lot? On the drawing, they have the width of 12.8 cm and a length is 3.2 cm.
a) what is the value of the 8 in the number 24.387?
Gve your answer as a fraction. ???
Answer:8/100
Step-by-step explanation: you would count the placement value of the numbers after the decimal point
An administrator is troubleshooting a switch and wants to verify if it is a root bridge. what command can be used to do this?
An administrator is troubleshooting a switch and wants to verify if it is a root bridge. show spanning-tree command can be used to do this
This is further explained below.
What is troubleshooting?Generally, In the realm of issue resolution, troubleshooting is a technique that is most often used to fix malfunctioning items or processes on a machine or in a system.
It is a methodical and logical investigation into the cause of a problem, with the end goal being to eradicate the issue and restore normal function to the affected product or procedure. It is necessary to do troubleshooting in order to detect the symptoms.
In conclusion, A switch is now being investigated by an administrator, and they want to determine whether or not it is a root bridge. This may be accomplished with the help of the display spanning-tree command.
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Margo mixed 24 ounces of blue paint and 16 ounces of red paint to create a new purple color. In order to create 72 more ounces of this exact purple color, how many ounces of red paint would she need?
Answer:
Step-by-step explanation:
Well, since 24+16 is 40, this would mean we get 40 ounces of purple paint. There is also a 150% difference between 24 and 16, so 2/3 times 24 = 16.
2/3 of the mixture is blue paint, while 1/3 of the mixture is red paint, so 1/3 of 72 is 24.
Thus, the answer is 24 ounces of red paint.
Hullan is 5 years older than Thomas. The sum of their ages is 69. What is Thomas's age?
Answer:
29
Step-by-step explanation:
69/2
the sum of 3 times a number and 4 is equal to 7.
Answer: the number is one and the equation would be 3x+4=7
Step-by-step explanation:hope it helps, brainliest? i could really use it
Equation:
[tex]3 \times x + 4 = 7[/tex]
Answer:
[tex]x = 1[/tex]
Step-by-step explanation:
Subtract by 4
[tex]3x + 4 - 4 = 7 - 4\\[/tex]
Simplify(Not cancel)
[tex]3x = 3[/tex]
Divide sides by 3
[tex]\frac{3x}{3} = \frac{3}{3}[/tex]
Find the result by division
[tex]\frac{3}{3} = 1[/tex]
Thus,
x = 1
HELP ASAP I DONT KNOW WHAT TO DO
Answer:I hope this helps.
Step-by-step explanation:
Suppose that a function pairs elements from set A with elements from set B . Recall that a function is called onto if every element in B is paired with at least one element in A .
b. What are the domain and range of the function?
The domain of the function will be the elements present in Set A and the range will be the elements present in Set B.
Domain of a function:
The domain of a function refers to the set of all possible inputs for the function. For example, we get that the domain of f(x) = x² is all real numbers, and the domain of g (x) = 1 / x is all real numbers except for x = 0( as it will make the function indefinite.) Some special functions can also be defined whose domain are limited.
Domain here will be = Set A
Range of a function:
The range of a function refers to the complete set of all possible resulting values of the dependent variable, after we have substituted the domain.
Range of the function here will be = Set B.
Therefore, we get that, the domain of the function will be the elements present in Set A and the range will be the elements present in Set B.
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F = G
G
(m₁m₂)
d²
where F is the force between two objects of masses
m₁ and m₂, G is the gravitational constant, and dis
the distance between the two objects. Solve the
formula for m₁.
Answer:
The formula for mass m1 will be as M1 = Fr²/GM2.
What is Newton law of gravitation ?
According to newton's law , force between mass m₁ and m₂ at distance x is given by the following expression is;
F = G m₁m₂ / x²
Where F is the force between two masses m1 and m2 G is the gravitational constant and x is the distance between the two objects.
For Solving for M1 in terms of Fg, G, M2 and r yields;
M1 = Fr²/GM2
To solve for M1 in terms of F, G, M2 and r;
We are required to make M1 the subject of the formula as follows:
F = (G M1M2)/r²
By cross product;
Fr² = G M1M2
by dividing through by G M2; we have;
M1 = Fr²/GM2
The formula for mass m1 will be as M1 = Fr²/GM2.
On a number line, A is at 5 and B is at 50. Point X is the midpoint. Point T is 2/3 of the way from X to B. Determine the coordinate of point T.
Coordinate of X = ________
Distance of XB = ________
Fractional distance 2/3(XB) = _________
Coordinate of T = ________
[tex]x = \frac{b + a}{2} = \frac{50 + 5}{2} = \frac{55}{2} = 27.5[/tex]
Part 2[tex]xb = b - x = 50 - 27.5 = 27.5[/tex]
Part 3[tex] \frac{2}{3} xb = \frac{2}{3} (27.5) \approx18.34[/tex]
Part 4[tex]t = \frac{2}{3} ab = \frac{2}{3} (b - a) = \frac{2}{3} (45) =15 \\ [/tex]
Evaluate the expression -7x -1/6y +2z-xy+28 when x = 2, y=12 and z =9
SHOW WORK FOR BRAINLIST.
Answer: 12
Step-by-step explanation:
x = 2, y=12 and z =9
-7x -1/6y +2z-xy+28=
-7(2) -1/6(12) +2(9)-(2)(9)+28=
-14-12/6+18-18+28=
-14-2+28=
-(14+2)+28=
-16+28=
28-16=12