Answer:
Option (C) : y = 6 / 11
Step-by-step explanation:
To find Horizontal Asymptote of the function, you need to see degree of of numerator and denominator.
Since, the degrees of the numerator and denominator are the same,
Horizontal Asymptote = leading coefficient of the numerator divided byleading coefficient of the denominator
Therefore,
Horizontal Asymptote = 6 / 11
Evaluate the expression for x= 3 and y= 6.
51x² + y + 3
Answer:
468
Step-by-step explanation:
The equation is: 51x² + y + 3
Let's first find x. It says x= 3, so let's subsitute that in.
51(3)² + y + 3
3² is 9 because 3 times 3 is 9, which means:
51(9) + y + 3.
It is 51 times 9 and not 519 because x was supposed to be squared by itself and 51 was next to it. When a number is close to another number, especially with parentheses, it wants you to multiply the two together.
For example: 3(3) is 9 and 4(5) is 20.
Now that we found x, let's get y. The problem states that y= 6...let's subsitute that in.
51(9) + 6 + 3.
Now that we got all the variables out of the way, we can simplify!
51 times 9= 459
459+6+3 is the same thing as 459+9, since 6+3= 9.
459+15= 468 :)
help with math again please
ANSWER:
It is C
NO EXPLANATION
Write each of the following in the simplest exponential form please help
Answer:
Step-by-step explanation:
[tex]a^{m}*a^{n} =a^{m+n}\\\\\\2^{3}*2^{5} = 2^{3+5} =2^{8}\\\\\\3^{2}*3^{4}=3^{2+4} = 3^{6}\\\\\\a^{2}*a^{5}=a^{2+5}=a^{7}[/tex]
II
Initial Knowledge
This morning, Leila's car had 19.79 gallons of fuel. Now, 2.8 gallons are left. How much fuel did Leila use?
Answer:
[tex]19.79 - 2.8 = 16.99gallons[/tex]
Each day that a library book is kept past its due date a 30 dollar fee is charged at midnight which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee
THIS IS THE COMPLETE QUESTION BELOW;
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?
Answers:
(–3, –0.90)
(–2.5, –0.75)
(4.5, 1.35)
(8, 2.40)
Answer
(8, 2.40)
Step by step Explanation
✓We can denote the number of days library book is late = X,
✓We can denote the the total fee = Y.
We were told $0.30 fee is charged at midnight.
Then for lateness for just 1day,the charged fees= 1day ×
$0.30
For X number of days the charged fees= Xday ×$0.30
Therefore, total charge for lateness for X number of days late = Y.
Then can be expressed as
Y= 0.30 * X...............eqn(1)
We can now test the option one after the other
FIRST OPTION (-3, -0.9)
Here we should know the number of days cannot be negative so there is no need of testing in the equation (1)
SECOND OPTION (-2.5, -0.75)
Here we should know the number of days cannot be negative so there is no need of testing in the equation (1)
THIRD OPTION(4.5, 1.35)
here the number of days will definitely be a whole number not 4.5, it's either
charge for 4 days or 5 days.
FORTH OPTION (8, 2.40)
this should be correct because the number of days is whole number and not negative, then if we test it from our equation it satisfy the equation too
Y= 0.30 * X...............eqn(1)
Y= 0.30 * X
2.40= 0.30 * 8
2.40 = 2.40.
Therefore, (8, 2.40) is the answer
A triangle has one side that lies along the line y=1/4x and another that lies along the line y=-1/4x. Which of the following points could be a vertex of the triangle?
Answer:
We know that our triangle has one side along the line:
y = (1/4)*x
And other side along the line:
y = -(1/4)*x.
Now, we want to find the vertex.
And we know that the vertex is the point where the two sides conect, so the vertex must be a common point of both lines.
Then we have:
y = (1/4)*x = -(1/4)*x
x = -x
The only solution to that equation is x = 0.
now we evaluate our lines in x = 0 and get:
y = (1/4)*0 = 0
y = -(1/4)*0 = 0
Then the lines intersect in the point (0, 0)
Then the vertex must be in the point (0, 0)
Simplify.
Remove all perfect squares from inside the square root.
V63 =
I need the answer ASAP can anyone help?
3*sqrt(7)
3 times the square root of 7
====================================================
Explanation:
I'm assuming the V stands for square root. You can write sqrt(63).
[tex]\sqrt{63} = \sqrt{9*7}\\\\\sqrt{63} = \sqrt{9}*\sqrt{7}\\\\\sqrt{63} = 3\sqrt{7}[/tex]
The idea is to factor 63 in such a way that one factor is the largest perfect square possible, that way we can pull the root apart to simplify as shown above. The rule I used for the second step is [tex]\sqrt{x*y} = \sqrt{x}*\sqrt{y}[/tex]
20 POINTS AND BRAINLIEST!! Which of the following statements can be supported by the evidence shown in the graph?
A. The line best fit shows a positive correlation between month number and minutes
B. The line of best fits shows a negative correlation between the number of months and the number of minutes
C. The line of best fits shows no correlation between the month number and the number of minutes
Answer:
B. The line of best fits shows a negative correlation between the number of months and the number of minutes
Step-by-step explanation:
In a scatter plot, when the data points are clustered along the line of best fit, it shows a trend, and it implies there's a correlation between the x-variable and the y-varisble.
Also, when the line of best fit slopes upward, from your left to your far right, it shows a positive correlation between the variables on the x-axis and y-axis.
On the other hand, if the line of best fit slopes downwards, from your left down to your right, this shows a negative correlation.
Thus, considering the line of best fit in the question, the line of best fit shows a negative correlation between the number of months and the number of minutes. The line of best fit slopes downwards, from your left to your right.
This shows that, as month number increases, number of minutes decreases.
15 x = -27 + 6x cuál es la respuesta de la ecuación, ¿me ayudan? gracias!
Answer:
x = -3
Step-by-step explanation:
If the equation is correctly written as 15·x = -27 + 6·x
Then we have;
15·x = -27 + 6·x
We subtract 6·x from both sides to have all the variables (x) on one side as follows;
15·x - 6·x= -27 + 6·x - 6·x
Which gives;
x·(15 - 6) = -27 + x·(6 - 6)
We note that 6 - 6 = 0, therefore, we have;
x × 9 = -27 + x × 0
We not that x × 0 = 0, therefore;
x × 9 = -27
We now divide both sides with the 9 to get the value of x alone as follows;
x×9/9 = -27/9
Which gives;
x = -27/9 = -3
x = -3
Is 4.05 repeating equivalent to 405/99
Answer:
No
Step-by-step explanation:
405 repeating is
405/999
not 405/99
405/99=4.090909090909....
4.05 repeating is not equivalent to 405/99.
What is the arithmetic operator?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities.
The division is to divide two numbers by each other example 2/4.
The division is a very common phenomenon in mathematics so we need to divide two numbers or expressions.
Subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
The most common mathematical operation is multiplication, which involves adding two or more integers to get a new multiplied number.
Given,
405/99
If we divide 405 by 99 then it will go 4 times and leave the remainder as 9.
Further, we make a decimal and again divide it will go 090909091 so it means it is repeating 09 four times.
Hence, 4.05 repeating is not equivalent to 405/99.
To learn more about the arithmetic operator
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In each of the following pairs of numbers, state which whole number is on the left of the other number on the number line. Also write them with appropriate sign (>,<) between them (a) 530, 503 (b) 370, 307 (c) 98765, 56789 (d) 10023001
D) in the question
1002, 3001
Answer:
a) 503 b) 307 c) 56789 D) 1002
Step-by-step explanation:
Numbering starts from the left hand side and are arranged in ascending order.
A) (530, 503)
503 < 530
503 is lesser than 530 and as such it is encountered first when numbers are written, hence 503 will appear on the left side of the number line when both are written.
B.) (370, 307)
370 > 307
307 comes before 370, therefore it will appear on the left side of 370 when illustrated on a number line.
C.) (98765, 56789)
98765 > 56789
56789 will appear on the leftside of 98765 when both number are illustrated on a number line.
D.) 1002 < 3001
1002 will appear on the leftside of 98765 when both number are illustrated on a number line.
Approximate 0.007349 to 3 significant figures
Answer:
Hey there!
That would result in 0.00735.
Let me know if this helps :)
Hence, the significant figures are [tex]0.00735.[/tex]
What is the approximation?
An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding. A calculation can be approximated by rounding the values within it before performing the operations.
Here given that,
Approximate [tex]0.007349[/tex] to significant figures
So, the significant figures are [tex]0.00735.[/tex]
Hence, the significant figures are [tex]0.00735.[/tex]
To know more about the approximation
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Three people are standing on a Cartesian coordinate plane. Robert is standing at point $(4,3)$, Lucy at point $(6,1)$, and Liz at point $(1,7)$. How many units away is the farther person from Robert?
Answer: Liz, she is 5 units away from Robbert.
Step-by-step explanation:
Ok, the data that we have is:
Robert is at (4,3 )
Lucy is at (6, 1)
Liz is at (1, 7)
We want to find the units between Robert and the person that is farther away from him.
The distance between Robert and Lucy can be calculated as:
First we calculate the difference in the point or in the position vector:
(4, 3) - (6, 1) = (4 - 6, 3 - 1) = (-2, 2)
To calculate the exact distance, we need to calculate the magnitude of this point, this is:
For a point (x, y), the magnitude is M = √(x^2 + y^2)
Then we have:
D = √( (-2)^2 + 2^2) = √8
Now, the distance between Robert and Liz can be calculated in the same way:
(4, 3) - (1, 7) = (4 - 1, 3 - 7) = (3, -4)
The magnitude is:
D = √(3^2 + (-4)^2) = √(9 + 16) = √25 = 5
Now, we know that 5 > √8
Then the person that is farthest away from Robert is Liz, and she is 5 units away.
Which of the binomials below is a factor of this trinomial? URGENT!!!
Answer:
C
Step-by-step explanation:
10×-28=-280
35-8=27
35×(-8)=-280
10x²+27x-28
=10x²+(35-8) x-28
=10x²+35x-8x-28
=5x(2x+7)-4(2x+7)
=(2x+7)(5x-4)
=========================================================
Explanation:
One way we can factor is through use the of the quadratic formula.
Let [tex]10x^2+27x-28 = 0[/tex]
For now, the goal is to find the two roots of that equation.
Plug a = 10, b = 27, c = -28 into the quadratic formula
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(27)\pm\sqrt{(27)^2-4(10)(-28)}}{2(10)}\\\\x = \frac{-27\pm\sqrt{1849}}{20}\\\\x = \frac{-27\pm43}{20}\\\\x = \frac{-27+43}{20} \ \text{ or } \ x = \frac{-27-43}{20}\\\\x = \frac{16}{20} \ \text{ or } \ x = \frac{-70}{20}\\\\x = \frac{4}{5} \ \text{ or } \ x = -\frac{7}{2}\\\\[/tex]
The two roots are x = 4/5 and x = -7/2
For each root, rearrange the equation so we have 0 on the right hand side, and it's ideal to get rid of the fractions
x = 4/5
5x = 4
5x-4 = 0 gives us one factor
and
x = -7/2
2x = -7
2x+7 = 0 gives the other factor
The two factors are 5x-4 and 2x+7
Note how (5x-4)(2x+7) = 0 leads to the two separate equations of 5x-4 = 0 and 2x+7 = 0 due to the zero product property. Solving each individual equation leads to the two roots we found earlier.
Alternative methods to solve this problem are the AC factoring method (which leads to factor by grouping), using the box method, or you could use guess and check.
A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint. If a can of paint contains 75 ounces of white paint, how many ounces of blue paint are in the can?
Answer:
i think 60 parts of blue paint are in the can.
Step-by-step explanation:
ratio should be equal in both cases
therefore,let blue part in second case be x(suppose)
5÷4=75÷x
by equating this we will be able to identify the value of x
and the value of x comes 60 which is the required answer....
hope this will help you..
i try my best to give correct answer..
if i am mistake, i am sorry for that...
A student finds the slope of the line between (8,17,) and (1,4) she writes 17-4/1-8 What mistake did she make?
The first mistake is that she didn't use parenthesis to indicate we're dividing all of one thing (numerator) over all of another expression (denominator)
slope = rise/run = numerator/denominator
So she should write (17-4)/(1-8) to indicate all of "17-4" is divided over all of "1-8"
However, there's another error that your teacher is probably more focused on. Note how 17-4 represents subtracting the y coordinates from left to right. We start with the left point y coordinate 17 and subtract off the right point y coordinate 4
left y - right y = 17 - 4
But then the student swaps the order when they wrote 1-8. Instead it should be 8-1
-----------------
Here's what they should have written (17-4)/(8-1)
This is the same as (4-17)/(1-8)
We can subtract in any order as long as it stays consistent between the numerator and denominator
interpret the parts of the expression 9x + 4y – 5. Rewrite the expression as a sum: _______________
Answer:
9x + 4y +(-5)
Step-by-step explanation:
Given
9x + 4y - 5
Required
Interpret
Write as a sum
The parts of an expression can be interpreted in the following ways; Terms, Variables, Constant, Coefficient, etc.
The terms are the expression being added together and they are 9x, 4y and -5
The variables are the represented with alphabets they change in values; the two variables in the given question are x and y
Constant are numbers standing alone; This is 5
Coefficient are numbers in front of variables; In this case, the coefficient are 9 and 4
Writing 9x + 4y - 5 as a sum
The -5 can be written as +(-5); So, we have
9x + 4y +(-5)
SOMEONE PLZ HELP ASAP !!!!!!
Answer:
a = 53.13
b = 42.76
c= 0
Step-by-step explanation:
as the question said i was supposed to use a calculator which i did
A company is making a new label for one of their containers. The container is a cylinder that is 9 inches tall and 5 inches in diameter. What is the area of the label that needs to be printed to go around the new container? Use π = 3.14.
Answer:
180.55 in².
Step-by-step explanation:
Data obtained from the question include the following:
Height (h) = 9 in.
Diameter (d) = 5 in
Pi (π) = 3.14
Area of the label =..?
Next, we shall determine the radius.
Diameter (d) = 5 in
Radius (r) =.. ?
Radius (r) = Diameter (d) /2
r = d/2
r = 5/2
r = 2.5 in.
Next, we shall determine the area of the label that needs to be printed to go around the new container by calculating the surface area of the cylinder.
This is illustrated below:
Height (h) = 9 in.
Pi (π) = 3.14
Radius (r) = 2.5 in.
Surface Area (SA) =.?
SA = 2πrh + 2πr²
SA = (2×3.14×2.5×9) + (2×3.14×2.5²)
SA = 141.3 + 39.25
SA = 180.55 in²
The surface area of the cylinder is 180.55 in².
Therefore, the area of the label that needs to be printed to go around the new container is 180.55 in².
Answer:
Step-by-step explanation:
i dont have the work but the answer is 182.6
the school bought a sandbox that measures 50 meters long 25 meters wide and 5 meters tall how many cubic meters if sand would you need to buy if each cubic meter of sand cost $1.50 how much money would it cost to fill the sandbox
Answer:
Cost of sandbox = $9,375
Step-by-step explanation:
Given:
Height of sandbox = 5 m
Length of sandbox = 50 m
Width of sandbox = 25 m
Cost of 1 cubic meter = $1.50
Find:
Cost of sandbox
Computation:
Volume of sandbox = (50)(25)(5)
Volume of sandbox = 6,250 m³
Cost of sandbox = 6,250 × $1.50
Cost of sandbox = $9,375
Complete the sequence
8,27,64,125,.........
Just next letter
Answer:
216.
Step-by-step explanation:
These numbers are perfect cubes starting with 2^3.
2^3, 3^3, 4^3, 5^3 so the next one is 6^3, which is 216.
Which of the c-values satisfy the following inequality? 2>c/3
Answer:
[tex]\Large \boxed{{c<6}}[/tex]
Step-by-step explanation:
2>c/3
Multiply both sides of the inequality by 3.
2(3)>c/3(3)
6>c
Switch sides.
c<6
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's solve your inequality step-by-step.
[tex]2 > \frac{c}{3}[/tex]
Step 1: Simplify both sides of the inequality.
[tex]2 > \frac{1}{3}c[/tex]
Step 2: Flip the equation.
[tex]\frac{1}{3}c < 2[/tex]
Step 3: Multiply both sides by 3.
[tex]3 * (\frac{1}{3} c) < ( 3) * (2)\\c < 6[/tex]
Answer : [tex]\boxed {c < 6}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Samuel has $20 in his savings account before he makes a deposit of $160 after two weeks he withdraws $160 how did Samuel savings account balance change
Match each expression with its greatest common factor. 4a + 8 2a2 + 8a 12a2 − 8a 4 − 6a Greatest Common Factor Expression 4 : 2 : 2a : 4a :
Answer:
see explanation
Step-by-step explanation:
4a + 8 4
2a² + 8a 2a
12a² - 8a 4a
4 - 6a 2
Match each expression with its greatest common factor as follows;
4a + 8 4
2a² + 8a 2a
12a² - 8a 4a
4 - 6a 2
What is the greatest common factor?The largest number that is found in the common factors is called the greatest common factor.
The given expression are;
4a + 8
2a² + 8a
12a² - 8a
4 - 6a
The greatest common factor of the expression are as follows;
4a + 8 = 4(a+2) = common factor = 4
2a² + 8a = 2a(a+4a) = common factor = 2a
12a² - 8a = 4a(3a-2) = common factor = 4a
4 - 6a = 2(2-3a) = common factor = 2
Learn more about the greatest common factor here;
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Plz help me this is probably easy but im just not seeing it plz help me ASAP
Answer: is attatched to the photo I sent
Step-by-step explanation:
I admit, this is tricky, just remember to think about it as where the shapes are the most similar. I'm not exactly sure how to explain it, but where it reflects like a mirror is the "copy"
The example I'm thinking of attached too, but these over lap so its diffucult
Pluto is 2.7 times 10 to the power of 9 miles from the sun. Venus is 6.7 times 10 to the power of 7 miles from the sun. How mnay times greater is the distance of pluto to the sun than venus
Answer:here for the comments
Step-by-step explanation:
Answer:
The answer is 40.3 times greater
Step-by-step explanation:
A number rounded to the nearest hundred thousand is 400,00. The same number rounded to the nearest ten thousand is 350,000. What could be the number?
Answer:
the number could be between 350,000 and 354,999
Step-by-step explanation:
when calculating to the nearest hundred thousand
for instance, your number is in this format abc,def, the hundred thousand place is determined by "b".
So if the value of b is over 5, when approximating, 1 is added to a.
if the value of b is below 5, when approximating, 0 is added to a.
Therefore, 354,999 to the nearest hundred thousand is 400,000
when calculating to the nearest ten thousand
for instance, your number is in this format abc,def, the ten thousand place is determined by "c".
So if the value of c is over 5, when approximating, 1 is added to b.
if the value of c is below 5, when approximating, 0 is added to b.
Therefore, 354,999 to the nearest ten thousand is 350,000
Compute the range and interquartile range for the data collected for boys and girls. Describe their differences in detail using specific terms of spread. (4 points)
Answer:
The measure of central tendency, mean and median are approximately equal for the boys indicating that the data of the boys is more evenly spread while standard deviation of the girls data is less than those of the boys indicating that the data for the girls is less widely spread.
Step-by-step explanation:
The given data are;
, 1 2 3 4 5 6 7 8 9 10
Girls, 50 32 15 56 81 50 18 81 22 55
Boys, 75 41 25 22 7 0 43 12 45 70
Sorting the data gives;
Girls, 15, 18, 22, 32, 50, 50, 55, 56, 81, 81
Boys, 0, 7, 12, 22, 25, 41, 43, 45, 70, 75
For the even numbered sample data size, the first quartile, Q₁ is found by sharing the data into two and finding the median of the left half which gives;
10/2 = 5 on each half
The first quartile, Q₁, is the median of the left 5 data points which is the 3rd data point = 22 for girls and 12 for boys
The third quartile, Q₃, is found in similar method to be the 8th data point which is 56 for girls and 45 for boys
The median = 50 for girls and 33 for boys
Therefore, the interquartile ranges are;
IQR = 56 - 22 = 34 for girls, 45 - 12 = 33 for boys
We check for outliers.
Q₁ - 1.5×IQR = 22 - 1.5*34 = -29
Q₃ + 1.5×IQR = 56 + 1.5*34 = 107
We check the mean of both data samples as follows;
Average for the girls = 46
Average for the boys = 34
Standard deviation for girls = 23.99
Standard deviation for girls = 25.43
Therefore, the measure of central tendency is more accurate for the boys indicating that the data of the boys is more evenly spread while the data for the girls is less widely spread.
-4(-w-10)=
i need help don’t know what the answer is
Answer:
[tex]\boxed{4w+40}[/tex]
Step-by-step explanation:
Use the distributive property to evaluate the equation.
-4(-w - 10)
4w + 40
-4 * -w = 4w because two negatives cancel to make a positive value.
-4 * -10 = 40 for the same reason.
it’s either A or B but idk, i’ll give brainliest :)
Answer:
Actually it's A.
Step-by-step explanation: