Answer:
Piece wise
Step-by-step explanation:
Piecewise function definition A piecewise function is a function that is defined by different formulas or functions for each given interval. Its also in the name: piece. The function is defined by pieces of functions for each part of the domain.
Rewrite using the distributive property:
x(11y + 2) =
Answer:
11xy+2x
Step-by-step explanation:
x(11y + 2)
11y(x)+2(x)=11xy+2x
Hope this helps!
Please mark as brainliest if correct!
Answer:
[tex]11xy + 2x[/tex]
Step-by-step explanation:
Using the distributive property means that we multiply everything that is inside the brackets with everything that is outside the brackets.
For this question that means that we will multiply [tex]x[/tex] with both [tex]11y[/tex] and 2:
[tex]x(11y + 2)[/tex]
⇒ [tex]x \times 11y + x \times 2[/tex]
⇒ [tex]11xy + 2x[/tex]
Therefore [tex]x(11y + 2)[/tex] rewritten using the distributive property is [tex]11xy + 2x[/tex].
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Can someone please help. I need to know which of the following is not true.
Answer:
A
Step-by-step explanation:
The line travels through the plane and its intersection point is labeled C
URGENTTT
how do u do this?
Answer:
i didn't understand please write it in a clearer way so I can help
Answer: given clear information about the question
Step-by-step explanation:
What I can advise is, Please look for the "X or Y" carefully, work on it step by step!!
Write a polynomial function V to represent the volume of a round bale with the given dimensions
The polynomial function V to represent the volume of a round bale is V(x) = π(x + 5)²(x + 8).
What is Polynomial Function ?A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.
Let the dimensions of round bale is x+5 feet radius and 3 feet wide.
As we know that round bale is a shape of cylinder in which we will consider wide instead of height.
Volume of Round Bale (V) = πr²w
V = πr²w = π(x + 5)²[(x + 5) + 3]
V(x) = π(x + 5)²(x + 8)
Hence, we got the polynomial function that represent the volume of round bale is V(x) = π(x + 5)²(x + 8).
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Please help with problem 26, part a b and c, in the attachment, also part c is not shown. But it asks how many total students are in the school.
Answer:
a. 3/5
b. 270 girls
c 450 students.
3 450 13350
_ x ___ = ______ = 270 =270 girls
5 1 5
On a typical work day, the bowling ball juggler
spends ¹/2 of his time stretching his fingers and
¹/5 of his time nursing his smashed toes. If the
juggler spends a total of 7 hours on these two
activities, how many hours does he typically
work each day?
He typically work each day for 10 hours.
According to the question, the expression can be written as:
The time taken to stretch the fingers = (1/2)t
Similarly, the time taken to smashed toes = (1/5)t
Total time = 7 hours
Now, the final expression can be written as:
(1/2)t + (1/5)t = (7)
(7/10)t = 7
t = 10 hours
Hence, he typically work each day for 10 hours.
What is time and work?
The time and work represents the problems deals with the time either with the individual or the group of the people to complete the piece of work. And the efficiency taken by each individual.
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Solve exponential equations. Express the solution set in terms of natural logarithms.Then use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. e^{5x-3}-2=10,476
The value of x after solving the exponential equation ln [e^{5x-3} - 2 ] = ln [10,476] is x = 0.6.
What is the exponential function ?
An exponential function is one that has the formula f (x) = a^(x) , where x is a variable and a constant and it must be greater than 0.
It is given that exponential equation is e^{5x-3}-2=10,476.
Let's solve this to find the value of term x.
So , we will take natural log on both sides.
This meant ;
ln [e^{5x-3} - 2 ] = ln [10,476]
We know that logarithm of a natural number is 0 and ln (e^ x) = x , so let's apply this to above equation.
ln (e^(5x - 3)) - ln 2 = 0
or
5x - 3 - 0 = 0
or
5x - 3 = 0
So , let's solve this to get the value of x ,
5x = 3
x = 3 / 5
or
x = 0.6
Therefore , the value of x after solving the exponential equation ln [e^{5x-3} - 2 ] = ln [10,476] is x = 0.6.
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The number m divided by the sum of z and u
Answer:
m
------- <------ fraction bar means divide too
z + u
Hope this helps :)
Joe walked into the jungle in 6 hours. he ran back to the camp in 1 hour. how far away was the jungle if joe ran 4 miles per hour faster than he walked ?
The jungle was 4.8 miles away.
What is the distance?Distance is a numerical measure of the distance between two objects or points. The distance can refer to a physical length or an estimate based on other criteria in physics or everyday usage (e.g. "two counties over"). The distance between two points A and B are sometimes denoted as|AB|. In most cases, "distance from A to B" and "distance from B to A" are interchangeable. A distance function or metric is a mathematical generalization of the concept of physical distance; it describes what it means for elements of a space to be "close to" or "far away from" each other.So,
The formula of, Distance = Speed × Time
X - walking speedX × 6 = (X+4) × 15X = 4X = 4/5 = 0.8mphD = 0.8 × 6 = 4.8 milesTherefore, the jungle was 4.8 miles away.
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Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
The possibility of the outcomes of third coin turn up a head is 2⁹.
Probability:
Probability is the calculated by dividing the favorable outcome by the total number of outcomes.
Given,
Ten coins are tossed simultaneously.
Here we need to find the how many of the outcomes will the third coin turn up a head.
Here we know that,
The third coin must be a head.
So, that means the rest of the coins can be heads or tails.
Therefore, possibility of these can be written as,
2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2⁹
different outcomes for the rest of the coins.
Which means the rest of the coins can be either head or tail but the third one is head.
Therefore, the possibility of getting third coin as head is 2⁹.
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I am thinking of a number. If you divide my number by 2 and subtract 4, you will get 2. what is the nuber
Answer:
12
Step-by-step explanation:
12 divided by 2 = 6
and
6 - 4 = 2
Answer:12
Step-by-step explanation:
Add 4+2=6Multiply 6 by 2=12than check the problem by 12÷2-4=2Your welcome!
With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. the abcd electronics company has just manufactured 4500 write-rewrite cds, and 150 are defective. if 3 of these cds are randomly selected for testing, what is the probability that the entire batch will be accepted?
The probability of the whole batch getting selected or marked as okay is 0.9030 (most likely).
Probability is the possibility of an event occurring. We can scale the probability of an event between 0 and 1. 0 refers to an improbable event, and 1 refers to an event with the highest possibility.
Now in the given problem statement that in order to evaluate the batch of a product, a sample is selected at random. The sample will be evaluated called the acceptance sampling and if the sample turns out to be undefective, production will be marked okay.
The purpose here is to find the probability that the entire batch will be selected, and it is only possible for all the three random products that are selected to turn out to be okay.
Now we will list down the given data and then solve it,
Total products manufactured = 4500 CDs
Defective pieces = 150 CDs
Good/Undefective CDs = Total products - Defective pieces
= 4500-150
Good/Undefective CDs = 4350
Now the three samples are chosen at random;
P (first good) = 4350/4500 if not replace....
then (one less choice and one less good)
P (the second one is not defective, but it is not)
= 4350/4499
If you don't replace...
If (2 less to choose from and 2 less non-defective)
P(3rd is not defective (1st AND 2nd is not defective ))
= 4350/4498
Just multiply these 3 fractions
(4350 ( 4349 > ) (4348) ) / (4500 (4499) (4498) ) )
= 0.9030
So the probability of the whole batch to get selected or marked as okay is 0.9030 (most likely).
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Given f(x)=2x2+4, find the value of f(−1)
The value of f(-1) according to the function f(x) given is; 6.
What is the value of f(-1) according to f(x) given?It follows from the task content that the function, f(x) = 2x² + 4.
On this note, to evaluate the value of f(-1), we must substitute -1 for x in the function given as follows;
f(-1) = 2(-1)² + 4
f(-1) = (2×1) +4
f(-1) = 6.
Ultimately, f(-1) = 6.
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The scale from an actual triangle to the drawing at the right is 30:1. The scale from the same triangle to Jorge’s drawing of the triangle is 10:1. Is this drawing or Jorge’s drawing larger
Jorge's drawing of the triangle is greater than the first drawing.
How to analyze and interpret scales
Scales are ratios between two lengths, herein we find an example of scales, defined as ratios of real length to reduced length from drawings. In a nutshell, we have a case of augmentation scales. Mathematically speaking, each scale is represented by the corresponding formulas:
x / y = 30 (1)
x / z = 10 (2)
By (1) and (2) we find the relationship between the two lengths of the two drawings:
30 · y = 10 · z
z = 3 · y
Jorge's drawing of the triangle is greater than the first drawing.
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Which value of n makes the equation true?
-1/2n=-8
A. -16
B. -4
C. 4
D. 16
Answer: The answer should be A.
Step-by-step explanation: 1/2 x -16 = -8
In a plane, prove that if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other. (Theorem 3.4 )
If a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.
We know that when a transversal cuts two parallel lines, then the corresponding angles are equal.
We know that parallel lines never intersect each other. When a third line is perpendicular to one of the parallel lines, then the third line must be perpendicular to another line as well.
To prove if AD is perpendicular to MN, it is also perpendicular to OP
ABN=90o
( Since AD is perpendicular to MN)
BCP=ABN=90o
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Determine whether each sequence is arithmetic. If so, identify the common difference. 3,7,11,15, ...........
Arithmetic progression AP is the given sequence of 3,7,11,15, ............ The common difference is found to be (d = 4).
What is the arithmetic progression AP sequence?The difference between two numerical orders in Arithmetic Progression (AP) is a constant value. Another name for it is Arithmetic Sequence.
Then we'd come across some key terms in AP, which are denoted as:
The first term (a)Common difference (d)Term nth (an)The total of first n terms (Sn)Some AP formulas are as follows:
As shown below, the AP could also be described in terms of common distinctions. a, a + d, a + 2d, a + 3d, a + 4d, ………. ,a + (n – 1) d.The method for calculating an AP's n-th term is as follows: an = a + (n − 1) × dThe following is the arithmetic progression sum formula: Sn = n/2[2a + (n − 1) × d].Now, for the given sequence is 3,7,11,15, ...........
Let us suppose the first term is'a₁' = 3.
Let us suppose 'a₂' = 7 is the second term.
Let us suppose the third term is 'a₃' = 11.
Let us suppose the fourth term be 'a₄' = 15.
d = a₂ - a₁
Substitute the values;
d = 7 - 3 = 4 ........(equation 1)
Now consider the other set;
d = a₃ - a₂
d = 11 - 7 = 4 .......(equation 2)
As a result, both equations are equal. It means that the common difference is the same, which is (d = 4).
Therefore, the asserted sequence is discovered to be in AP, and the value of a common difference is discovered to be (d = 4).
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The following investment opportunities are available for an amount between
R5 000 and R10 000 that you want to invest:
• Option 1: 8,2% p.a. compounded monthly
• Option 2: 8,3% p.a. compounded quarterly.
Determine which of the two options would provide you with the best return
on your investment over a period of 5 years.
Option 2, 8.3% p.a. compounded quarterly will provide the best return on the investment over a time period of 5 years.
Let's say you want to invest Rs 8000.
The formula for compound interest is given as:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where P is the principal amount, r is the interest rate, n is the number of times interest is applied, and t is the number of time periods elapsed.
For option 1,
P = 8000
r = 8.2% = 0.082
As the interest compounded annually.
n = 12
t = 5 years
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
[tex]A=8000( 1 + \frac{0.082}{12})^{12 \times 5}[/tex]
[tex]A=8000(1+0.00683)^{60}\\A = 8000(1.00683)^{60}\\A=8000 \times 1.5047\\[/tex]
A = Rs. 12037.74
For option 2,
8.3% compounded quarterly.
Quarterly means once three months.
There are four quarters in one year.
Therefore, n = 4 × 5 = 20
P = 8000
r = 8.3% = 0.083
t = 5
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
[tex]A=8000(1+\frac{0.083}{20})^{20 \times 5}\\[/tex]
[tex]A=8000(1+0.00415)^{100}\\A=8000(1.00415)^{100}\\A=8000 \times 1.51307\\[/tex]
A = Rs. 12104.566
Hence, option 2 will provide you with the best return on your investment.
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find the slope of the line passing through the points (-9, -3) and (7, -7)
Answer: -1/4
Step-by-step explanation:
(-7+3)/(7+9)
-4/16
-1/4
Solve equation by using the Quadratic Formula. Round to the nearest tenth if necessary. 5 x² + 4x - 20=0
The quadratic equation of the form 5x² + 4x - 20 = 0 then the values of x1 = 1.64 and x2 = -2.44.
What is meant by quadratic equation?
The quadratic equation of the form ax² + bx + c = 0.
The form is called the standard form of the quadratic equation.
Let the quadratic equation be 5x² + 4x - 20 = 0
a = 5, b = 4 and c = -20
ax² + bx + c = 0
5x² + 4x - 20 = 0
The quadratic equation be
[tex]$x=\frac{-b\pm \sqrt{b^2-4\cdot \:a\left(c\right)}}{2\cdot \:a}[/tex]
a = 5, b = 4 and c = -20
substitute the value of a, b and c in the above equation, we get
[tex]$x_{1,\:2}=\frac{-4\pm \sqrt{4^2-4\cdot \:5\left(-20\right)}}{2\cdot \:5}[/tex]
simplifying the equation, we get
[tex]$x_1=\frac{-4+4\sqrt{26}}{2\cdot \:5}[/tex]
[tex]$x_2=\frac{-4-4\sqrt{26}}{2\cdot \:5}[/tex]
The values of x1 = 1.64 and x2 = -2.44
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Sally Barrett, a banjo player for a local band, earns $8.50 per hour.
What is her straight-time pay for a week in which she worked
22 hours?
The payment she gets after 22 hours of working is $187.
According to the statement
We have to find that the total amount she earned.
So, For this purpose, we know that the
Straight-time pay is the total amount of money you earn in a given pay period.
From the given information:
Sally Barrett, a banjo player for a local band, earns $8.50 per hour.What is her straight-time pay for a week in which she worked 22 hours?
Then
The amount she get as a rate per hour = $8.50
And
The time for which she works = 22 hours
Then
Pay she get after the work of the 22 hours = $8.50 * 22
Then
Pay she get after the work of the 22 hours = $8.50 * 22
Now multiply these to get the answer
Pay she get after the work of the 22 hours = $187
So, The payment she gets after 22 hours of working is $187.
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The length of a rectangle is 5 cm more than the width. The perimeter is 38 cm. Find the length.
Answer:
length=12
width=7
Step-by-step explanation:
I tried random numbers like 6+6+11+11 then tried another one 8+8+13+13. After that I found out the pattern and worked out the answer
hellpp pls i keep getting it wrong pls
Answer:
(1, -2).
Step-by-step explanation:
The robot is at the point (-3, -2).
Just add 4 to the x-coordinate/
Round 6.027 to the nearest hundredth
Answer:
6.08
Step-by-step explanation:
since 2 is lower than 5 we will use two to round it up
the number 7 will be used
making the 2 to be called 1 add it to 7 making it
8
Rounding 6.027 to the nearest hundredth gives us 6.03.
To round 6.027 to the nearest hundredth,
Since we know that,
Changing a number's digits so that it approximates a value is known as rounding.
In other words, when rounding numbers, we substitute an approximated value for the original number, which is a shorter and simpler representation of the original number. Finding the estimated value of the supplied decimal number up to 2 decimal places is known as rounding to the nearest hundredth.
we first need to identify the second digit after the decimal point, which is 2.
If this digit is less than 5, the number rounds down to 6.02.
If it is 5 or greater, the number rounds up to 6.03.
Since 7 is greater than 5, we round down to 6.03.
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What is a y -intercept? How is a y -intercept different from an x -intercept?
When a graph crosses the y-axis, that location is known as the y-intercept. It is, in other words, the value of y at x=0.
What is a y -intercept?When a graph crosses the y-axis, that location is known as the y-intercept. It is, in other words, the value of y at x=0. In addition to being the length of the perpendicular that is drawn from the point to the x-axis, it is the value of y at the coordinates (x, y). It is, in other words, the vertical distance between the point and the x-axis.
How is a y -intercept different from an x -intercept?An address that aids in locating a spot in two dimensions of space are the X and Y coordinates. Any point in the coordinate plane is denoted by the coordinates (x, y), where the x value represents the point's location in relation to the x-axis and the y value represents its position in relation to the y-axis.
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Mr. Adams has poster paper that is 10 3/4 feet long. He wants to make sheets that are 1/4 of a foot long to make paper airplanes. How many sheets can he make?
Answer:
43
Step-by-step explanation:
divide 10 3/4 by 1/4
State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.
Angles 4 and 6 are alternate interior angles.
The statement "angles 4 and 6 are alternate interior angles" is true
Given,
The statement " Angles 4 and 6 are alternate interior angles"
Here,
∠4 and ∠6 are lie opposite sides of the the transversal and both are nonadjacent interior angles .
So, ∠4 and ∠6 are alternate interior angles
Hence, the statement "angles 4 and 6 are alternate interior angles" is true.
The complete question is:
State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.
Angles 4 and 6 are alternate interior angles.
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Bill's spelling list is 3 words long at the start of the school year. Each month, his
teacher adds 8 words to the list.
Let m represent the number of months since school began and w represent the
total number of spelling words.
The linear equation applicable for the statement is a w = 8m+3.
According to the statement
We have to find that the linear equation related to the statement.
So, For this purpose, we know that the
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
From the given information:
Bill's spelling list is 3 words long at the start of the school year. Each month, his teacher adds 8 words to the list.Let m represent the number of months since school began and w represent the total number of spelling words.
Then
Total number month when words have been added = m
Total number of words after m month = w
At starting the number list = 3
Then
The linear equation become
w = 8m+3
This is the linear equation.
So, The linear equation applicable for the statement is a w = 8m+3.
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it takes 1 cup of liquid fertilizer to make 7 1/2 gallons of spray. how make liquid fertilizer is needed to make 80 gallons of spray
[tex]10\frac{2}{3}[/tex] cups of liquid fertilizer is needed to make 80 gallons of spray.
Simply put, the unit method is used to find a single unit value from a given multiple. The unit method is to find the value of one unit and then find the value of the required number of units .For simplification, always write the things to be calculated on the right-hand side and things known on the left-hand side.It is given that 1 cup of liquid fertilizer to make [tex]7\frac{1}{2}[/tex] gallons of spray.
On simplifying the gallons , we get
[tex]7\frac{1}{2}=\frac{7\times2+1}{2} \\\\7\frac{1}{2}=\frac{15}{2}[/tex]
Using unitary method , we get
[tex]\frac{15}{2}[/tex] gallons of spray makes = 1 liquid fertilizer
1 gallons of spray makes = [tex]\frac{2}{15}[/tex] liquid fertilizer
80 gallons of spray [tex]=\frac{2}{15} \times80\\[/tex]
[tex]=\frac{160}{15} \\\\=\frac{32}{3}[/tex]
Which can be written as [tex]10\frac{2}{3}[/tex]
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MULTIPLE CHOICE
Question 7
A grocery store wants to sell 40 pounds of a mixture consisting of candy bears and candy
worms. Candy bears cost $2.25 per pound and candy worms cost $3.85 per pound.
The store plans to sell the candy mix they make for the price of $3.45 per pound.
1 Points
Using b for the number of pounds of candy bears and w for the number of pounds of
candy worms, select the two equations that represent the candy mix they are creating.
The two equations that represent the candy mix are:
b + w = 40
2.25b + 3.85w = (3.45 x 40)
What are the two equations?In order to determine the candy mix that will be sold, two equations would be formed. These equations would be solved together, simultaneously and thus are known as simultaneous equations. The methods used to solve simultaneous equations are:
the graph method the substitution method the elimination method.The form of the equations would be :
pound of candy bears + pounds of candy worms = total pounds
(pound of candy bears x cost of candy bears) + ( cost of candy worms x pounds of candy worms) = (total cost of the mix per pound x total pounds)
b + w = 40
2.25b + 3.85w = (3.45 x 40)
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