There are 190 more birds than expected at the refuge.
The information provided in the question indicates that there are 3 percent more birds than there were previously. The sanctuary houses 175 birds, which may be pictured as follows:
There are 175 birds in all.
According to the inquiry, it is rising by 3%.
Number of birds = (175)(3%) = 5.25 at this point.
As a result, given the data, the anticipated enhanced data is as follows:
Added birds is 175 + 5 + 5 + 5 = 190.
190 more birds are therefore expected in the refuge.
How much is a percentage?The final computed numbers should be divided by the total value and then multiplied by 100 to obtain the percentage.
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how many 0.8-liter glasses of waters does it take to fill up a 10.4-liters pitcher
13 litres of 0.8-liter glasses of waters does it take to fill up a 10.4-liters pitcher.
Concept: In simple words, division can be defined as the splitting of a large group into smaller groups such that every group will have an equal number of items. It is an operation used for equal grouping and equal sharing in math.
Quantity of 1 glass of water= 0.8 liters
Quantity to be filled completely = 10.4 liters
No . of 0.8-liter glasses of waters does it take to fill up a 10.4-liters pitcher = 10.8/0.4 = 13
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The points (-10, q) and (10, -9) fall on a line with a slope of -1/5. What is the value of q?
Write the following quantities in second .
5•10⁷ µs
The value of 5•10⁷ µs quantity in second is 50 .
The unitary methodology could be a methodology within which you discover the worth of a unit then the worth of a needed range of units.For simplification, invariably write the items to be calculated on the right-hand aspect and things illustrious on the left-hand aspect.In the unitary method, the value of many things is given and we need to either find the value of more or fewer things. In order to try to to that, we have a tendency to should initial realize the worth of 1 issue by division so realize the worth of additional or fewer things by multiplication.We know that 10⁶μs is equal to 1 second .
Using unitary method , we get
1 μs have = 10⁻⁶ second
5•10⁷ µs have = 5 × 10⁷ × 10⁻⁶
= 50 second
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Sean is thinking of a 3 digit number. the digit in the hundreds place is 1 more than the digit in the ones place. the value of the digit in the ones place is 25 less than the value of the digit in the tens place. what number is sean thinking of?
635 is the 3 digit number Sean is thinking of.
What is a digit?A digit is one of the elements of a set that makes up a numeration system. Thus, in a certain context, a digit is a number. The digits in the decimal (base-10) Arabic numbering system are the constituents in the set 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
Let a, b , c the digits of hundreds place, tens place and ones places.
Let the digit in the tens place be x, thus b = x
The digit in ones place is 25 less than the value of the digit in the tens place
c = x - 25
And finally, he digit in the hundreds place is 1 more than the digit in the ones place
a = (x - 25) +1
If a, b , c are digits of there respective places the the value of their digits are
a(100), b(10) c(1)
Now, b can be any no. which is more than 25 so as to make positive ones place, lets say 30
b = 30 = x
Thus x = 3, so
a = ( x - 25) +1
= ( 30 - 25) +1
= 6
c = 30 - 25
= 5
Thus, 635 is the 3 digit number Sean is thinking
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What is 1 5/17 as a decimal
What is 2 3/8 as a decimal
Answer:69999
Step-by-step explanation:your gay
PLEASE HELP
PLEASE SHOW HOW U CHECKED UR WORK
also show regular work
List the domain and range of each relation. (3,-2),(4,4),(0,-2),(4,1),(3,2)
Range = { -2 , 4 , -2 , 1 , 2} is for the relation .
what is domain and range?
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.How are domain and range determined?
In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).relation. (3,-2),(4,4),(0,-2),(4,1),(3,2)
domain = { 3 , 4 , 0 , 4 , 3 }
Range = { -2 , 4 , -2 , 1 , 2}
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Solve the following inequality algebraically.
x^2+2x-24< 0
Answer:
-6<x<4
Step-by-step explanation:
x^2+2x-24=0
(x-4)(x+6)=0
x-4=0
x+6=0
x=-6,4
x<-6 false
-6<x<4 true
x>4 false
so -6<x<4
Help me please please
There was a base fee of $17.95 and there was an additional charge of 92 cents for each mile driven. Shen had to pay $173.43 when he returned the truck. For how many miles did he drive the truck?
Th number of miles driven by truck is 169.
What is defined as the unitary method?The unitary method is an approach that involves determining the value of a single unit and then calculating the value of the necessary number of units based on that value.The unitary method's formula is to identify the value of a single unit and afterwards multiply that value by the number of units to get the required value.For the given question:
The base fee of the drive = $17.95.
The additional charges are 92 cents for each mile driven.
The additional charges = $0.92
Let 'x' be the miles driven by the truck.
Thus, the total additional charges for the drive of x miles will be: 0.92x.
So, the total charge for truck drive is;
The total charge are given as $173.43.
Total charge = base charge + additional charge
$173.43 = $17.95 + 0.92x
0.92x = $173.43 - $17.95
0.92x = 155.53
x = 169.05
x = 169 miles.
Thus, the total number of miles driven by the truck are 169 miles.
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What’s is four fifths -one third
Answer:
[tex] \frac{7}{15} [/tex]
Step-by-step explanation:
The question is asking us to find the difference between 4/5 and 1/3.
[tex] \frac{4}{5} - \frac{1}{3} [/tex]
First we have to determine the LCM which is 15.
LCM is obtained by multiplying 5 and 3 from the denominators.
Then proceed as follows
[tex] \frac{4}{5} - \frac{1}{3} = \frac{12 - 5}{15} \\ = \frac{7}{15} [/tex]
The solution is therefore
[tex] \frac{7}{15} [/tex]
To rotate a point (90°, 180°) counterclockwise about the origin, multiply the y -coordinate by -1 and then interchange, the x - and y -coordinates.
To rotate a point 90° counterclockwise about the origin, multiply the y -coordinate by -1 and then interchange, the x - and y -coordinates are (x,y) -> (-y,x)
What does the term "coordinates" mean?
Coordinates are numerical lengths or angles that uniquely identify locations on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). There are various coordinate systems that mathematicians, physicists, and engineers frequently utilize.Rotation of 90° counter-clockwise about origin-
Think about the location (X, Y). You may always swap the x- and y-coordinates and then multiply the new x-coordinate by -1 in order to rotate this point by 90 degrees around the origin in the opposite manner.
This would be expressed mathematically as follows
(x ,y) → ( -y ,x)
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!!100 points!!
determine whether each equation represents a linear function.
-4x + 2y = 10
y = 2x^2 - 3x + 5
x = -5
y = 1.5x
!!!!please explain your reasoning!!!!
The equation -4x + 2y = 10 represents a linear function
[tex]y = 2x^2 - 3x + 5[/tex] represents a non-linear function
x = -5 represents a linear function
y = 1.5x represents a linear function
The linear functions don't have any exponents higher than 1. Some of them don't have variables at all, and if they do, they have just plain x, which is equal to x to the first power.
When a linear function is written in its simplest form, it looks like y = a + bx, where a and b are both constants.
-4x + 2y = 10 represents a linear function as it follows both the rule that is it lies in a plain(x-y) and also have exponents with power not higher than 1.
[tex]y = 2x^2 - 3x + 5\\[/tex] represents a non-linear functions as it lies in the plain (x-y) and it has power higher than 1. The highest power of the exponent is 2.
x = -5 represents a linear function as it follows both the rule that is it lies in a plain(x-y) and also have exponents with power not higher than 1.
y = 1.5x represents a linear function as it follows both the rule that is it lies in a plain(x-y) and also have exponents with power not higher than 1.
Therefore, equations -4x + 2y = 10 , x = -5 , y = 1.5x are linear functions.
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The equation -4x + 2y = 10 represents a linear function
[tex]y = 2x^2 - 3x + 5[/tex] represents a non-linear function
x = -5 represents a linear function
y = 1.5x represents a linear function
The linear functions don't have any exponents higher than 1. Some of them don't have variables at all, and if they do, they have just plain x, which is equal to x to the first power.
When a linear function is written in its simplest form, it looks like y = a + bx, where a and b are both constants.
-4x + 2y = 10 represents a linear function as it follows both the rule that is it lies in a plain(x-y) and also have exponents with power not higher than 1.
[tex]y = 2x^2 - 3x + 5[/tex] represents a non-linear functions as it lies in the plain (x-y) and it has power higher than 1. The highest power of the exponent is 2.
x = -5 represents a linear function as it follows both the rule that is it lies in a plain(x-y) and also have exponents with power not higher than 1.
y = 1.5x represents a linear function as it follows both the rule that is it lies in a plain(x-y) and also have exponents with power not higher than 1.
Therefore, equations -4x + 2y = 10 , x = -5 , y = 1.5x are linear functions.
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Write an explicit and a recursive formula for each sequence. 0,6,12,18,24, . . . . . .
an=a1+d(n−1) is the explicit and a recursive formula for each sequence .
What is sequence?An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.
Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.
An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.
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Find the least common multiple of each pair of polynomials.
9(x+2)(2 x-1) and 3(x+2)
The least common multiple of the given polynomial 9(x+2)(2 x-1) and 3(x+2) is 3(x + 2).
According to the given question.
We have two polynomials 9(x + 2)(2x - 1) and 3(x + 2).
Since, we have to find the least common multiple of 9(x + 2)(2x -1) and 3(x+2).
As we know that, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by lcm(a, b), is the smallest positive integer that is divisible by both a and b. Since division of integers by zero is undefined, this definition has meaning only if a and b are both different from zero.
From the definition of least common multiple, we can say that the least common multiple of 9 and 3 is 3 and (x +2)(2x -1) and (x + 2) is (x + 2).
Thereofrore, the least common multiple of the given polynomial 9(x+2)(2 x-1) and 3(x+2) is 3(x + 2).
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ow that pn pnQ ) v (pnr
Answer:
brwhwthfv fvqfbqrhwt vwrvqdvqrgdqg
Given that ZCEA is a right angle and EB bisects ZCEA,
which statement must be true?
OZBEA CEA
O ZCEB CEA
OmzCEB= 45°
O m/CEA = 45°
The statement is true and option (C) is correct. i.e m∠CEB = 45° .
To prove
Reason
As shown in the diagram
∠CEA = ∠CEB + ∠AEB
Bisector
A bisector is a tool that divides any object into two equal parts.
As given
∠CEA is a right angle, and EB bisects it, dividing it into two equal parts.
Thus
∠CEB = ∠AEB = 45 °
Therefore
m ∠CEB = 45 °
Hence proved.
Therefore the correct option is option (C) is correct.
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point C is on a line segment BD .Given BD = 5x , BC = 4x and CD = 4 determine the numerical length of BD
The numerical length of BD is 20.
We have a Line Segment BD and a point C on it.
We have to determine the numerical length of BD.
What is Line Segment?A line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.
According to question, we have -
BD = 5x
BC = 4x
CD = 4
Now,
BD = BC + CD
5x = 4x + 4
x = 4
Therefore - BD = 5x = 5 x 4 = 20
Hence, the numerical length of BD is 40.
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WILL GIVE BRAINIEST TO BEST ANSWER, PLEASEEE HELP
also show steps/work
The solution of the equation for h is as follows:
h = 2r
How to find h in the equation?The equation is represented as follows:
2πr³ = πr²h
where
r = radiush = heightTherefore, let's make h the subject of the formula
2πr³ = πr²h
Divide both sides by πr²
2πr³ / πr² = πr²h / πr²
h = 2r
Therefore, the solution of the equation for h is as follows:
h = 2r
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Evaluate each expression for a=3 and b=-5 . 3(a-b)
Evaluating the expression 3(a - b) for a = 3 and b = -5 is equal to 24.
An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".
To evaluate an expression or an equation means to substitute a value to the variable and perform the arithmetic operations included.
Given the expression 3(a - b), substitute the value of the variable a and the value of variable b.
3(a - b)
3[3 - (-5)]
Performing the arithmetic operations, we can have the value of the expression.
3[3 - (-5)]
= 3(3 + 5)
= 3(8)
= 24
Hence, the expression 3(a - b) when a = 3 and b = -5 is equal to 24.
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I need ur help please explain i don't understand check attachment
The graph of the given piecewise function is given at the end of the answer.
What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
For this problem, the function is defined as follows:
f(x) = 2/3x, for x ≤ 0.f(x) = 3, for 1 ≤ x ≤ 3.f(x) = -2x + 5, for x ≥ 4.Hence:
To the left of x = 0, the function is increasing and linear.Between x = 1 and x = 3, the function is constant at x = 3.To the right of x = 4, the function is decreasing and linear.The function is given at the graph with the end of answer, with holes where the function is not defined, and multiple behaviors as it is piecewise.
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15.84 + 156 =??
Pls help
Answer:
171.84
Step-by-step explanation:
156 + 15 = 171
171 + 0.84 = 171.84
Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y) point.
y=-x^2-6x-16
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{-6}x\stackrel{\stackrel{c}{\downarrow }}{-16} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ -6}{2(-1)}~~~~ ,~~~~ -16-\cfrac{ (-6)^2}{4(-1)}\right) \implies \left( - \cfrac{ -6 }{ -2 }~~,~~-16 - \cfrac{ 36 }{ -4 } \right) \\\\\\ (-3~~,~~-16+9)\implies (-3~~,~~-7)[/tex]
THIS IS EASY ++ WILL GIVE BRAINLIEST ! TYSM
Answer:
5
-5
13
-5
-13
13
5
-13
Step-by-step explanation:
Answer:
5, -5, 13, -5, -13, 13, 5, -13
Step-by-step explanation:
9 - 4 = 5 4 - 9 = -5 9 - (-4) = 9 + 4 = 13 -9 - (-4) = -9 + 4 = -5 -9 - 4 = -13 4 - (-9) = 4 + 9 = 13 -4 - (-9) = -4 + 9 = 5 -4 - 9 = -13Hope this helped and have a good day
The average person laughs 15 times a day. Is this continuous or discrete?
Answer: Discrete
Step-by-step explanation: Discrete data is a numerical type of data that includes whole, concrete numbers with specific and fixed data values determined by counting.
Hope this helps!
y=x-3
y=-4x+3
Determine whether the pair of lines listed is parallel, perpendicular or neither.
The given equations are neither parallel nor perpendicular with each other.
According to the question, to calculate the slope of the given equations.
y = x - 3 and Y = 4x + 3
Now, equate the given equations with the standard slope equation that is: y = mx + c
Using above equation, the slope for first equation is: m1 = 1
And the slope for the second equation is: m2 = 4
When the value of the slopes are equal, means lines are parallel. Similarly, when the value is negative one, then the lines are perpendicular to each other otherwise neither parallel nor perpendicular.
Hence, the given equations are neither parallel nor perpendicular with each other.
What is the slope of a line?
The slope of a line is the ratio of the y-axis coordinates and the x-axis coordinates. It is also called as gradient which tells the steepness of a straight line. Depending upon the values, it is categorized as parallel, perpendicular or no line.
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Michael is driving to Dallas. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Michael has 61 miles to his destination after 15 minutes of driving, and he has 49.8 miles to his destination after 29 minutes of driving. How many miles will he have to his destination after 33 minutes of driving?
In linear equation, 16.6 miles will he have to his destination after 33 minutes of driving.
What in mathematics is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."for linear equation rate of change is constant .
rate of change of distance from destination with respect to time
= 49.8 - 61/29 - 15
= -11.2/14
= -0.8
now the distance from destination after 57 minutes driving
= 49.8 + (-0.8)( 33 - 29 )
= 19.8 -3.2
= 16.6 miles
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pls help, i rlly dont know what this is
Answer:B
Step-by-step explanation:
Answer:
Step-by-step explanation:
option b is correct
9/4 = 2.25
13.5/6 = 2.25
do the last one yourself
12 Express this product in scientific notation: (11 x 10¹¹) (12 × 10¹²).
A. 1.32 × 1023
B . 13.2 x 1025
C. 132 x 1025
D. -1.32 x 1025
Answer: The answer is c 1.32 x 10^25
Step-by-step explanation:
Evaluate the sum of the finite geometric series. Σ⁴ n=1 (2/3)ⁿ⁻¹
Sn = a(1 - rⁿ)/(1 - r) is the formula for the sum of a finite number of terms in a geometric series, where is the number of terms, is the first term, and is the common ratio.
The sum of the finite geometric series, Σ⁴ n=1 (2/3)ⁿ⁻¹ be 2.407.
What is meant by finite geometric series?The equation be Sn = a(1 - rⁿ)/(1 - r), where s is the total, a1 is the series's first term, and r is the common ratio, is a general formula for calculating the sum of an finite geometric series. The formula a2/a1, where a2 is the second term in the series and a1 is the first term in the series, can be used to determine the common ratio.
Let the series be Σ⁴ n=1 (2/3)ⁿ⁻¹
Σ⁴ n=1 (2/3)ⁿ⁻¹ = (2/3)¹⁻¹ + (2/3)²⁻¹ + (2/3)³⁻¹ + (2/3)⁴⁻¹
= 1 + (2/3) + (2/3)² + (2/3)³
= 1 + (2/3) +(4/9) +(8/27)
Where, the first term is a = 1
common ratio be r = 2/3
n th term be n = 4
Let the equation be Sn = a(1 - rⁿ)/(1 - r)
substitute the values in the above equation, we get
S4 = 1(1 - (2/3)⁴)/(1 - (2/3))
S4 = 1(1 - (16/81)⁴)/(1/3)
S4 = (65/81) × 3
S4 = (65/27) = 2.407
Therefore, the sum of the finite geometric series, Σ⁴ n=1 (2/3)ⁿ⁻¹ is 2.407.
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