Answer:
He shot a total of 2,415 free throws. He shot 255 on the 20th day.
Step-by-step explanation:
If the domain of f is all real numbers in the interval [0, 7] and
the domain of g is all real numbers in the interval [-2, 5], the
domain of f + g is all real numbers in the interval______
=========================================================
Explanation:
Draw two parallel number lines as shown in the diagram below. Make sure the numbers line up.
The first number line has the interval [0,7] which is the same as writing 0 ≤ x ≤ 7
We have closed circles at 0 and 7. Then there's shading in between those endpoints.
Similarly, the other interval [-2, 5] represents -2 ≤ x ≤ 5. It has shading between the closed circles at -2 and 5.
The red dashed lines represent the portions where the two number lines overlap. This is from x = 0 to x = 5
The sub-interval 0 ≤ x ≤ 5 is found in both domains, and hence it's the domain of f+g
That turns into the interval notation of [0, 5]
(3x3+4x2)−(2x3+3x2−x
Answer:
9+8-6+6=29
Step-by-step explanation:
MATHAMATICS please check this i don't know x or×
SHOW YOUR WORK OR I DELETE UR ANSWER
can √3 + 5 be simplified if yes show your work if not explain why
can √2x/3y be simplified if yes show your work if not explain why
...........4
can (x↑y)3/2 be simplified if yes show your work if not explain why
It is true that the expressions √3 + 5 and √2x/3y cannot be simplified while the expression (x + y)3/2 can be simplified
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine if the expression can be simplified?Expression 1
The expression is given as
√3 + 5
The above expression is a combination of a radical expression and an integer
The radical expression √3 cannot be simplified
This means that the expression √3 + 5 cannot be simplified
Hence, the expression √3 + 5 cannot be simplified
Expression 2
The expression is given as
√2x/3y
The above expression is a combination of radical expressions
However, the radical expressions do not have a common factor
This means that the expression √2x/3y cannot be simplified
Hence, the expression √2x/3y cannot be simplified
Expression 3
The expression is given as
(x + y)3/2
Open the bracket
(x + y)3/2 = 3/2x + 3/2y
This means that the expression (x + y)3/2 can be simplified
Hence, the expression (x + y)3/2 can be simplified
Read more about expressions at
brainly.com/question/723406
#SPJ1
The binary string 01001010001100 is a floating point number expressed using the 14-bit simple model given in your text. (there are no implied bits.) what is its decimal equivalent?
The binary string 01001010001100 is the number 9496 in decimal format.
This is further explained below.
What is its decimal equivalent?Generally, The decimals that have the same total number of places after the decimal point are referred to as similar decimals. Equivalent decimals are different representations of the same decimal number that have the same numerical value.
For instance, 3.42 and 6.05 are equivalent to decimals since each number has two positions for the decimal point.
As an example, 0.3 and 0.30 are both considered to be comparable decimals since they both represent the same number.
The supplied binary string has one at positions 3, 4, 8, 10, and 13. (when counted from 0 starting from the unit place).
If there are any zeros in the provided number, the results of those locations will also be zero.
In conclusion, binary string 01001010001100 will be the figure
2^3 + 2^4 + 2^8 +2^10 + 2^13= 9496
Read more about decimal equivalent
https://brainly.com/question/4954886
#SPJ1
Solve each system by substitution. Check your answers.
4p + 2q = 8 , q = 2p+1
By substitution, the solution of the system of equations, 4p + 2q = 8 and q = 2p + 1, is (p , q) = (3/4 , 5/2).
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.
There are three methods that can be used to solve system of linear equations.
1. Elimination
2. Substitution
3. Graphing
Using substitution method, given two linear equations in p and q,
4p + 2q = 8 (equation 1)
q = 2p + 1 (equation 2)
Since the second equation is already expressed in q in terms of p, substitute the second equation to the first equation.
4p + 2q = 8 (equation 1)
4p + 2(2p + 1) = 8
4p + 4p + 2 = 8
Combining all terms containing the variable p on one side and the constants on the other side of the equality, and solving for p.
4p + 4p + 2 = 8
4p + 4p = 8 - 2
8p = 6
p = 6/8
p = 3/4
Substitute the value of p in the second equation and solve for q.
q = 2p + 1
q = 2(3/4) + 1
q = 6/4 + 1
q = 5/2
Hence, the solution of the given system of equations is (p , q) = (3/4 , 5/2).
To learn more about solving systems of equations: brainly.com/question/25869125
#SPJ4
If {10x+3y=2}10x+3y=2 is a true equation, what would be the value of \{10x+3y+7}10x+3y+7?
Answer:
9
Step-by-step explanation:
given
10x + 3y = 2
then
10x + 3y + 7
= 2 + 7
= 9
A cube has a volume of 125/8cubic inches. What is the edge length of the cube?
Ans:- All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power. So the length of the edge of a cube with a volume of 125 is 5.wer:
please mark me as brainliest
Answer:
s = [tex]\frac{5}{2}[/tex] in
Step-by-step explanation:
the volume (V) of a cube is calculated as
V = s³ ( s is the edge length )
given V = [tex]\frac{125}{8}[/tex] in³ , then
s³ = [tex]\frac{125}{8}[/tex] ( take cube root of both sides )
[tex]\sqrt[3]{s^3}[/tex] = [tex]\sqrt[3]{\frac{125}{8} }[/tex]
s = [tex]\frac{\sqrt[3]{125} }{\sqrt[3]{8} }[/tex] = [tex]\frac{5}{2}[/tex] ( = 2.5 , in decimal form )
HELP ASAP!!!The circumference of a circle is 6 pi meters. Find the radius of the circle
3
Step-by-step explanation:
radius is just the diameter cut in half.
State whether each sentence is true or false. If false, replace the underlined term to make a true sentence.
The isometric view is when an object is viewed from a corner.
The sentence "The isometric view is when an object is viewed from a corner" is True.
Isometric projection is used in technical and engineering drawings. Isometric view is a technique for visually representing three-dimensional objects in two dimensions along a vertical line. It is a 3-D drawing which is set out using 30-degree angles.
The Bottom View, the Left Side View, and the Rear View are three views of isometric drawings. Isometric, dimetric and trimetric drawings are three types of axonometric drawings. Engineers, technical illustrators and sometimes architects use Isometric view.
The sentence "The isometric view is when an object is viewed from a corner" is True.
To know more about Isometric view refer to the link:
https://brainly.com/question/4700966
#SPJ4
Find the 17 th term of each sequence. a₁₆ =21, d=-3
The 17th term of the arithmetic progression (A.P) is given as 18.
What is defined as arithmetic progression?An arithmetic progression (AP) is a succession in which the differences between each successive term are the same.
An arithmetic progression is a series in which each term (except the first) is derived by adding a fixed number to the term before it.The following arithmetic progression formulas are frequently used to solve various AP problems for the initial term 'a' of an AP and the common difference 'd':Common difference 'd' of an AP: d = a2 - a1 = a3 - a2 = a4 - a3 = ...... = an - an-1.nth term of an AP: an = a + (n - 1)dSum of n terms of an AP: Sn = n/2(2a+(n-1)d) = n/2(a + l), where l defines last term of an AP.Now, as per the given question;
16th term; a₁₆ = 21Common difference; d = -3Then, the 17th term will be;
Apply the difference formula;
d = a₁₇ - a₁₆
a₁₇ = a₁₆ + d
a₁₇ = 21 + (-3)
a₁₇ = 21 - 3
a₁₇ = 18.
Therefore, the value of the 17th term of an AP is found to be 18.
To know more about the arithmetic progression, here
https://brainly.com/question/6561461
#SPJ4
simplify log 25 + log 3
Answer:
log 75.
Step-by-step explanation:
log 25 + log 3
= log (25*3)
= log 75
This is one of the laws of logs.
A certain mapping in the plane has the following property: Each pair of points A and B is mapped to another pair or points A' B' such that quadrilateral AA'BB' is parallelogram. What type of transformation is that? Explain how you know.
When certain mapping in the plane has the following property: Each pair of points A and B is mapped to another pair or points A' B' such that quadrilateral AA'BB' is parallelogram, the transformation is reflection.
How to illustrate the informationEach point in a figure is moved the same distance in the same direction using a type of transformation known as translation.
When a figure is translated, it is moved in any direction.
Flipping a figure over a line is called reflection.
Rotation is the process of turning a figure a specific amount around a point.
When we dilate a figure, we increase or decrease its size.
In this case, since the figure is flipped, over a line is called reflection.
Learn more about transformation on:
https://brainly.com/question/4289712
#SPJ1
workings.
Karina is making a 3-digit number by choosing three different
numbers from the following list:
2, 4, 5, 7, 9
How many different 3-digit numbers could Karina make?
The number of different 3-digit number if each of those digits is only allowed to be used once is 60
How to determine the number of different 3-digit number codes if each of those digits is only allowed to be used once?The digits are given as:
2, 4, 5, 7, 9
There are 5 digits represented in the above list
If each of those digits is only allowed to be used once, then we have the following possibilities
First character: Any of the 5 digitsSecond character: Any of the remaining 4 digitsThird character: Any of the remaining 3 digitsThe number of 3-digit number codes is
Number = 5 * 4 * 3
Evaluate the product
Number = 60
Hence, the number of different 3-digit number if each of those digits is only allowed to be used once is 60
Read more about permutation at
brainly.com/question/12468032
#SPJ1
raic Approach:
3. Your school is putting on a play and printed a total of 500 programs to hand
out to audience members. The audience members are filing into the theatre at a
constant rate, and you notice that 20 programs are being handed out per minute
After 25 minutes we will run out of the programs for the play.
An arithmetic sequence will yield a graph that is a straight line. A sequence is an arrangement of numbers in a particular pattern. The nth term of an arithmetic sequence is expressed as nth term of the expression in form of the equation of a straight line is y = mx + b where;
m is the slope, b is the intercept, slope = d, y-intercept b = a -d.
total programs = 500 (given)
rate at which the audience members are filing into the theatre=20/minute
(given)
the equation formed by analyzing the given data is
y = 500 - 20x
(x is the intercept that is the time taken to finish the programs )
for the programs to be finished y should be = 0
0 = 500 - 20x ( putting value of y = 0)
500 = 20x ( like terms on same side and unlike on different)
x = 500/20
x = 25 minutes
Therefore, we can conclude that after 25 minutes we will run out of the programs for the play.
To learn more about arithmetic sequence and graphs
visit; https://brainly.com/question/17949151
#SPJ1
Determine whether each sequence is arithmetic. If so, identify the common difference. 10,20,30,40, ...........
The given sequence 10,20,30,40, ........... forms an arithmetic sequence. The common difference is found to be 10.
How does the AP arithmetic progression succession?The difference between the two mathematical orders is a fixed value in Arithmetic Progression (AP). Another name for it is Arithmetic Sequence.
We'd come around a few specific words in AP that were labeled as:
The first term (a)Common difference (d)Term nth (an)The total of first n terms (Sn)Some formulas related to AP are-
The AP could be defined in terms of common differences, as shown below: a, a + d, a + 2d, a + 3d, a + 4d, ………. ,a + (n – 1) d.The procedure for appraising an AP's n-th term is as follows: an = a + (n − 1) × dThe following is the arithmetic progression sum: Sn = n/2[2a + (n − 1) × d].Now, for the stated sequence is: 10,20,30,40, ...........
Let us suppose the first term is'a₁' = 10.
Let us suppose 'a₂' = 20 is the second term.
Let us suppose the third term is 'a₃' = 30.
Let us suppose the fourth term be 'a₄' = 40.
d = a₂ - a₁
Substitute the values;
d = 20 - 10 = 10 ........(equation 1)
Now consider the other set;
d = a₃ - a₂
d = 30 - 20 = 10 .......(equation 2)
Comparing equation 1 and 2, the common difference is same.
Thus, the given sequence forms an AP.
The common difference is found to be 10.
To know more about the arithmetic progression, here
brainly.com/question/6561461
#SPJ4
Cindy paid $34.60 for tickets to a movie. How much would it cost for 7 tickets?
The cost of 7 tickets will be $242.20.
What will be the cost of 7 tickets?In order to determine the cost of 7 tickets, the mathematical operation that would be used is multiplication. Multiplication is the process of determining the product of two or more numbers.
Multiplication is the process used to determine the result when a number is taken times. The sign used to represent multiplication is x. Other mathematical operations are addition, division and subtraction.
In order to determine the cost of 7 tickets, the cost of one ticket would be multiplied by 7.
Cost of 7 tickets = cost of one ticket x 7
$34.60 x 7 = $242.20
To learn more about multiplication, please check: https://brainly.com/question/3385014
#SPJ1
Simplify the expression.
-5-2 / 4-7
The simplified form of expression is 7/3
To simplify the expression, the first step involves simplification of numerator. Then, next step is simplification of denominator. After this, the complete fraction will be simplified by division, to give the smallest fraction.
Firstly simplifying numerator -
Numerator = -5-2
Performing addition to simplify the numerator
Numerator = -7
Simplifying the denominator -
Denominator = 4-7
Performing subtraction to simplify the denominator
Denominator = -3
Now, simplifying the expression by writing the fraction -
Expression = -7/-3
Cancelling negative sign. Also, the numbers are not divisible further, so the fraction is in the simplified form.
Expression = 7/3
Hence, the simplified expression is 7/3
Learn more about simplification of expression -https://brainly.com/question/20373987
#SPJ4
Find unit rates to solve these rodeo problems.
1. Grady has been thrown off the bull 156 times in his last 52 rodeo events. The number of falls per event is:
Responses
104
3
4
1/3
The number of falls per event is 3 (second option).
What is the number of falls per event ?The number of falls per event can be determined by using the mathematical operation, division. Division is the process of splitting an amount into equal parts using another number. For example, to divide 12 by 3, 12 has to be divided into equal parts using 3.
The sign used to represent division is ÷. The other operations used in mathematics are addition, subtraction and multiplication.
The number of falls per event = total times Grady fell off the horse / number of rodeo events
156 / 52 = 3 times
To learn more about division, please check: https://brainly.com/question/194007
#SPJ1
Alana is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She
starts by assigning coordinates to a rectangle as shown. Then she uses the coordinates to
write and simplify expressions for the lengths of the diagonals.
What is the length of one of the diagonals of the rectangle?
A: 12.4
B: 6
C: 6.3
D: 8
The expression for diagonal of a rectangle is d= √ (a2 + b2).
Consider a rectangle PQRS in which let PR and QS be the diagonals.
Then, there are two triangles obtained and they are ΔRPS and ΔRPQ
The angle that is common between the two triangles is ∠p
The common side is PQ
Hence, PS=QR
Therefore, ΔRPS≅ΔRPQ
Also, QS=PR the diagonals of a rectangle are equal in length.
By using the Pythagorean theorem, the length of the diagonal of rectangle is d = √ (l2 + w2)
From the given data the length of the rectangle(l) PQ =a
The width of the rectangle(w) QR = b
Hence the expression for diagonal of rectangle is d= √ (a2 + b2).
To learn more about rectangle, visit
brainly.com/question/14207995
#SPJ1
Answer:
The formula for a rectangle's diagonal is d=(a2 + b2).
Step-by-step explanation:
Let PR and QS be the diagonals of the rectangle PQRS.
Following that, two triangles—RPS and RPQ—are obtained.
The common angle between the two triangles is p.
PQ is the common side.
So, PS=QR.
Consequently, RPSRPQ
A rectangle's diagonals are also equal in length since QS=PR.
The Pythagorean theorem shows that d = (l2 + w2) is the length of the diagonal of a rectangle.
The length of the rectangle (l) PQ =a from the provided data
Rectangular width (w) = QR = b
Therefore, d=(a2 + b2) is the expression for the diagonal of a rectangle.
To learn more about rectangle, visit
https://brainly.com/question/14207995
#SPJ1
https://brainly.com/question/25292087
$SPJ2
How to solve with elimination
Solutions are different there 3 pictures click on one picture and there they will give a solution
Step-by-step explanation:
Good luck
Moira solved a problem on the board. what error did moira make and how can she correct it? use the drop-down menus to explain your answer. 12x 10 = 54 â€" 10x 12x 10 â€" 10 = 54 â€" 10x â€" 10 12x = 44 â€" 10x 12x â€" 10x = 44 â€" 10x 10x 2x = 44 x = 22 on the left side of the equation, moira choose... 10x, but on the right side of the equation, moira choose... 10x. she needs to choose... 10x to both sides of the equation.
The value of the linear equation 12x+10=54-10x, X=22.
What is linear equation?An algebraic equation of the form y=mx+b is referred to as a linear equation involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a linear equation of two variables, where y and x are the variables.
Given that,
Moira chooses 10x on the left side of the equation,
And on the right side she chooses 10x
Given equation is 12x+10=54-10x
12x+10-10=54-10x-10 (subtract -10 on both sides)
12x=44-10x
12x-10x=44 (sending 10x on left side of the equation)
2x=44
X=22
Therefore the value of linear equation 12x+10=54-10x is X=22.
To know more about linear equation, visit:
https://brainly.com/question/11897796
#SPJ4
(Laws of Exponents with Whole Number Exponents LC)
Which expression is equivalent to 2.3 raised to the fifth power divided by 0.9 raised to the fourth power, all raised to the third power?
2.5^3
2.5^15
2.3 raised to the eighth power divided by 0.9 raised to the seventh power
2.3 raised to the fifteenth power divided by 0.9 raised to the twelfth power
The equivalent expression for the given expression is [tex]\frac{2.3^{15}}{0.9^{12}}[/tex]. Therefore, option D is the correct answer.
The given expression is [tex](\frac{2.3^{5} }{0.9^{4} } )^{3}[/tex].
We need to find the equivalent expression for the given expression.
What is an equivalent expression?Equivalent expressions are expressions that work the same even when they seem different. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.
Use [tex](\frac{a}{b} )^{m}=\frac{a^{m}}{b^{m}}[/tex] and [tex](a^{m} )^{n}=a^{m\times n}[/tex] to solve the given expression.
Now, [tex](\frac{2.3^{5} }{0.9^{4} } )^{3}=\frac{(2.3^{5})^{3} }{(0.9^{4})^{3} }[/tex]
[tex]=\frac{(2.3^{5\times3})}{(0.9^{4\times3})}[/tex]
[tex]=\frac{2.3^{15}}{0.9^{12}}[/tex]
The equivalent expression for the given expression is [tex]\frac{2.3^{15}}{0.9^{12}}[/tex]. Therefore, option D is the correct answer.
To learn more about the equivalent expression visit:
https://brainly.com/question/28170201.
#SPJ1
Is the equation -2(4-x) = 2x+8 an identity?
Answer:
No
Step-by-step explanation:
-2(4-x) = 2x+8
Distribute the -2 on the left hand side
-2 *4 -2*-x = 2x+8
-8 +2x = 2x+8
They are not equal so it is not an identity
Answer: not an idenfity
Step-by-step explanation:
[tex]-2(4-x)=2x+8\\(-2)(4)+(-2)(-x)=2x+8\\-8+2x=2x+8\\2x-8\neq 2x+8[/tex]
notre prof de math vient de nous envoyer se travaille pour lundi je ne comprends rien sil vous plait aider moiii
Answer: f(2)=-10 f(-3)=15
Step-by-step explanation:
Let the number conceived be x.
Hence,
f(x)=(x+5)(-3)-2x+15
f(x)=-3x-15-2x+15
f(x)=-5x
Thus,
f(2)=(-5)(2)
f(2)=-10
f(-3)=(-5)*(-3)
f(-3)=15
What is the volume of the medium box
Answer:
Volume = Length × Width × Height. Use this formula.
Isaac deposits $2,500 into an account that pays 4.75% interest
compounding continuously. How long will it take to double his
initial investment? Show all work for full credit and round your
answer to two decimal places.
Answer:
14.59
Step-by-step explanation:
The key words in this problem is that you are compounding continuously, so that would be a equals p e to the r t power to show you that formula, and so when it says you have 2500 in the account e to the .4 excuse me, 0.0475 t Power is equal to, it says, doubling the investment, and so you just have to think about your doubling the investment you're going to take 2500 times to do it. The first thing i would do, then, is to divide the 2500 over which actually cancels out this 2500 point so you're. Looking at e to the .0475 t, power is equal to 2 right, 4.75 percent, so to solve for t want to natural log, both sides- i forgot my t in there so to solve for t natural log of 2 divided by 0475, so it takes about 14.593 Years or, however, you're supposed around it says: 2 decimals soul be 14.59
Solve 3 x + 1 = − 5 by graphing. Then find the x- and y-intercepts.
From drawing the graph of the function 3x + y = -5, we can tell that the x and y intercepts are respectively; x = -5/3 and y = -5
How to graph linear equations?We are given the Linear equation as;
3x + y = -5
Now, the y-intercept of the function is the point where x = 0. Thus, we plug in 0 for x to get the y-intercept.
3(0) + y = -5
0 + y = -5
y = -5
Similarly, the x-intercept will be the point when y = 0. Thus, we plug in 0 for y to get the x-intercept;
3x + 0 = -5
3x = -5
x = -5/3
From drawing the graph of the function 3x + y = -5, we can tell that the x and y intercepts are respectively; x = -5/3 and y = -5
Read more about Linear Graphs at; https://brainly.com/question/4025726
#SPJ1
write a two-column proof for the property reflective property of segment congruence
Hence, proved the reflective property of segment congruence.
We need to write a two-column proof for the property reflective property of segment congruence.
What is the reflective property of congruence?In geometry, the reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself.
Two angles are congruent if and only if they have equal measures. Two segments are congruent if and only if they have equal measures. Two triangles are congruent if and only if all corresponding angles and sides are congruent.
Consider, XY≅AB
Prove that, AB≅XY
Proof: XY≅AB (given)
XY=AB (Definition of the congruent segment)
AB=XY (Symmetric property of equality)
AB≅XY (Definition of the congruent segment)
Hence, proved the reflective property of segment congruence.
To learn more about the reflective property of segment congruence visit:
https://brainly.com/question/18874176.
#SPJ1
Which of the following equations have infinitely many solutions?
Choose all answers that apply:
-6x +35= -6x - 35
6x+35=-6x - 35
-6x+35=-6x + 35
6x+35= -6x +35
Give the answer okkk
Step-by-step explanation:
b(h) = 212 - 1.72×h/1000
what is h, when b = 190 ?
190 = 212 - 1.72×h/1000
-22 = -1.72×h/1000
22000 = 1.72×h
h = 22000/1.72 = 12,790.69767... ≈ 12,791 ft
