Answer:
√18 is between 4.2 and 4.3
√52 is equivalent to 2√13
......
Rachel has 15 markers. She gives 4 markers to
Jordan and 3 markers to Chris.
How many markers does Rachel have now?
The answer is 8 markers
Step-by-step explanation:
Since all children are collecting markers from Rachel who has 15 markers, the equation will be:
Markers Left = 15 - 4- 3
Markers Left = 11 - 3
Markers Left = 8
[HELP] For j(x) = [tex]5^x^-^3[/tex], find j of the quantity x plus h end quantity minus j of x all over h period
the quantity x minus 3 end quantity times the quantity 5 to the power of h plus 1 end quantity all over h [tex]\frac{(x-3)(5^2+1)}{h}[/tex]
5 to the power of the quantity x minus 3 end quantity times the quantity 5 to the power of h end quantity all over h [tex]\frac{5^x^-^3(h^h)}{h}[/tex]
5 to the power of the quantity x minus 3 end quantity times the quantity 5 to the power of h plus 1 end quantity all over h [tex]\frac{5^x^-^3(5^h+1)}{h}[/tex]
5 to the power of the quantity x minus 3 end quantity times the quantity 5 to the power of h minus 1 end quantity all over h [tex]\frac{5^x^-^3(5^h-1)}{h}[/tex]
The difference quotient of the function that has been presented to us will turn out to be 5.
How can I calculate the quotient of differences?In this step, we wish to determine the difference quotient for the function that was supplied.
To begin, keep in mind that the difference quotient may be calculated by:
Lim h->0 [tex]\frac{f(x+h)-f(x)}{h}[/tex]
Now, for the purpose of the function, we need this:
Then we will have:
[tex]$$\begin{aligned}&\lim _{h \rightarrow 0} \frac{j(x+h)-j(x)}{h} \\&\lim _{h \rightarrow 0} \frac{5 *(x+h)-3-5 * x+3}{h} \\&\lim _{h \rightarrow 0} \frac{5 x+5 h-3-5 x+3}{h} \\&\lim _{h \rightarrow 0} \frac{5 h}{h}=5\end{aligned}$$[/tex]
j(x) = 5x - 3
Then the following will be true:
Therefore, 5 is the value of the difference quotient for j(x) is %
Read the following if you are interested in finding out more about difference quotients:
brainly.com/question/15166834
#SPJ1
Find the distance between the two points in simplest radical form
(-4,-1) and (1,-9)
The difference between the two points ; (-3,10 )
given
(-4,-1) and (1,-9)
here we have to find the difference between -4 and -1
which is -3 so u go -3 spaces left so it would be -3
then , find the difference between 1 and -9 which is 10 so u go 10 spaces down so the difference between is;
(-3,10).
therefore the distance between two point are (-3,10)
Distance between two points is the length of the line segment that connects the two given points. Distance between two points in coordinate geometry can be calculated by finding the length of the line segment joining the given coordinates.to know more about distance.
We will use the distance formula in order to find the distance between points a and b. By substituting the points A(3, 4) and B(1, 2) in the above formula we get our required distance d. Hence, distance d = 2√2 units
.visit;https://brainly.com/question/17241535
#SPJ9
Find the value of x²+8x+12 when x = -9
Answer:
165
Step-by-step explanation:
x² + 8x + 12 =
= (9)² + 8(9) + 12
= 81 + 72 + 12
= 153 + 12
= 165
Answer:
-165
Step-by-step explanation:
(-9)2+8×-9+12
-81-72+12
-81-84
-165 answer.
If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is correct, (a) in how many different ways can a student check off one answer to each question?
The different ways can a student check off one answer to each question is 1024.
It is required to find the different ways can a student check off one answer to each question.
What is probability?probability is the ratio of the number of favorable outcomes and the total number of possible outcomes. The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.
Given:
If a multiple choice test consists of 5 questions each with 4 possible answers of which only one is correct,
,To find how many different ways can a student check off one answer to each question we have,
: 4^5 = 2^10
= 1024
Therefore, the different ways can a student check off one answer to each question is 1024.
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ4
Find the GCF 1.16,60 2.52,84 3.32,89,144 4.48,96,108 5.144,176,1
Answer:
The GCF is 1.
Step-by-step explanation:
The factors of 1 are: 1
The factors of 1 are: 1
The factors of 2 are: 1, 2
The factors of 3 are: 1, 3
The factors of 4 are: 1, 2, 4
The factors of 5 are: 1, 5
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 89 are: 1, 89
The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 108 are: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
The factors of 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
The factors of 176 are: 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Then the greatest common factor is 1.
1. (2x - 3)² = 18
2. 2 (5x + 2)² = 64
solve using Quadratic Equation
1) The solution to the given quadratic equation is; x = ¹/₂(3 ± 3√2)
2) The solution to the given quadratic equation is; x = 5/6 or -2
How to find the roots of quadratic equations?
1) (2x - 3)² = 18
To fid the value of x, we can solve by first taking the square root of both sides to get;
√(2x - 3)² = ±√18
Add 3 to both sides using addition property of equality to get;
2x - 3 = ±3√2
2x = 3 ± 3√2
x = ¹/₂(3 ± 3√2)
2) 2(5x + 2)² = 64
To fid the value of x, we can solve by first dividing both sides to get;
(5x + 2)² = 32
Take square root of both sides to get;
(5x + 2) = ±8
Subtract 2 from both sides using subtraction property of equality to get;
5x + 2 = ±8
5x = ±8 - 2
5x = 6 or 5x = -10
x = 5/6 or -2
Read more about Roots of Quadratic equations at; https://brainly.com/question/1214333
#SPJ1
A truck can be rented from Company A for $90 a day plus $0.40 per mile. Company B charges $60 a day plus $0.70 per mile to rent the same truck.
Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
The number of miles in a day at which the rental costs for Company A and Company B are the same will be 10 miles.
How to calculate the value?Let the number of miles be represented by x.
Therefore the equation for the first company will be 90 + 0.4m
The equation for the second company will be 60 + 0.7m
Therefore, we will equate them. This will be:
90 + 0.4m = 60 + 0.7m
Collect like terms
90 - 60 = 0.7m - 0.4m
0.3m = 30
m = 30/0.3
m = 10
The number of miles will be 10 miles.
Learn more about equations on:
brainly.com/question/4291546
#SPJ1
9. If h(x)=√x-3 +5, then for what value(s) of 10
x does h(x) = 3?
Answer:
There are no values of x that make this equation true.
Step-by-step explanation:
We know h(x)=[tex]\sqrt{x-3} +5[/tex]
So lets substitute h(x) for 3
3=[tex]\sqrt{x-3}+5[/tex]
We are going to then subtract 5 from each side leaving us with
-2=[tex]\sqrt{x-3}[/tex]
We then need to get rid of the square root, so we will square both sides. which gives us
4=x-3
We then need to subtract 3 from both sides which leaves us with
x=1
However, when you substitute 1 for x into the original equation, you get
h(x)=[tex]\sqrt{-2}+5[/tex]
Which is not equal to 3
Therefore, there are no values of x that make this equation true.
If the librarian had a budget of $500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of new-release and classic movies bought?
Answer: Answer is 16 new releases and 22 classic movies.
Step-by-step explanation:
He'll buy 16 new releases and 22 classic movies.
Let x = number of new releases
Let y = number of classics.
The equation to solve the question will be:
20x + 8y = 500
When x= 16 and y = 22, thus will be:
= 20x + 8y
= 20(16) + 8(22)
= 320 + 176
= 496
Therefore, since this is the number closest to $500, therefore this will be the appropriate number of movies that he can buy.
In conclusion, he'll buy 16 new releases and 22 classic movies.
Learn more about Algebra here brainly.com/question/28504118
#SPJ10
If y=sin x and y{n} means the nth derivative of y with respect to x then the smallest positive integer n for which y(n)=y is:________
y4 = sin x is the smallest positive integer n .
What is a positive integer, exactly?
If an integer is more than zero, it is positive; otherwise, it is negative. Zero is characterized as being neither positive nor negative.What is a positive integer example?
A whole number, or a number whose decimal portion is 0, is another name for an integer. 72 is an illustration of a positive integer.
y = sin x
1 derivative of sin x -
y' = cos x
2 derivative of cos x
y'' = - sinx
3 derivative of sinx
y''' = - cos x
4 derivative of cos x
[tex]y^{(4)} = sinx[/tex]
Learn more about positive integer
brainly.com/question/28165413
#SPJ4
Sam's plumbing service charges a $50 diagnostic fee and then $20 per hour. How much money does he earn, m, when he shows up to your house to do a job that takes h hours?
Answer:
50 + 20h
Step-by-step explanation:
Use the diagram showing points P and Q. P(-2, 1) Q(2, 1)
Determine which point is the remaining vertex of a triangle with an area of 4 square units.
R(2, 0)
S(-2,-1)
T(-1, 0)
U(2,-2)
please help !! include explanation
Eleri has 97 cents credit on her phone it costs 6 cents to send a message. How many people can eleri send a message to? Explain how you worked it out.
please and thank you.
question is attached to image
question 9a
pls help
Answer:
(x-2y){5-(x-2y)}
=(x-2y)(5-x+2y)
(I didnt put the full question on acident please ignore this :') )
Answer:
k but pls put the question so you that will get support:-)
The cost of pumpkins is shown in the table. Determine whether the cost of a pumpkin is proportional to the number bought by graphing the relationship on the coordinate
plane. Explain.
Number of Pumpkins: 0 1 2 3 4
Cost: ($) 0 4 8 12 16
Cost of pumpkins
y
16
12
8
4
0 2 4 6 8 x
Pumpkins
Yes, it is true the cost of a pumpkin is proportional to the number bought.
What is the Proportional Relationship?
We are given the table showing cost of each number of pumpkins. Now, let us analyze the table values;
1) When number of pumpkins is 1, then cost is $4. Thus;
Cost per pumpkin = 4/1 = $4 per pumpkin
2) When number of pumpkins is 2, then cost is $8. Thus;
Cost per pumpkin = 8/2 = $4 per pumpkin
3) When number of pumpkins is 3, then cost is $12. Thus;
Cost per pumpkin = 12/3 = $4 per pumpkin
4) When number of pumpkins is 4, then cost is $16. Thus;
Cost per pumpkin = 16/4 = $4 per pumpkin
In all these rates, we see that the cost rate for pumpkins remains the same. Thus, we can conclude that it is true the cost of a pumpkin is proportional to the number bought.
Read more about Proportional Relationship at; https://brainly.com/question/12242745
#SPJ1
find the midpoint of the line segment with the given points.
Answer:
[tex]\displaystyle (-\frac{5}{2}, 4)[/tex]
Step-by-step explanation:
We will use the midpoint formula to solve.
[tex]\displaystyle (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2} )[/tex]
[tex]\displaystyle (\frac{0+-5 }{2}, \frac{3+5}{2} )[/tex]
[tex]\displaystyle (\frac{-5 }{2}, \frac{8}{2} )[/tex]
[tex]\displaystyle (-\frac{5}{2}, 4)[/tex]
A manufacturer determines that the cost of making a computer component is $4.252525........ Write the repeating decimal cost as a fraction and as a mixed number.
The fraction is $[tex]\frac{421}{99}[/tex] and the mixed fraction is $4 [tex]\frac{25}{99}[/tex]
The cost of manufacturing computer components is $4.25252525
To find the repeating decimal; cost as a fraction
Since we have two digits repeating decimal place, we multiply 100 and shift two digits
⇒$4.252525×100=$425.252525{using operation multiplication}
Now subtract the original number from this
⇒$425.252525-$4.252525=$421.00000 {using operation subtraction}
Now,
100×(fraction)-(fraction)=$421.00000 {using operation subtraction}
99(fraction)=$421.00000{ using operation division}
The Fraction=$[tex]\frac{421}{99}[/tex]
The mixed fraction is $4 [tex]\frac{25}{99}[/tex]
Therefore, The fraction is $[tex]\frac{421}{99}[/tex] , and the mixed fraction is $4 [tex]\frac{25}{99}[/tex]
Learn more about fraction here:
https://brainly.com/question/10354322
#SPJ9
Which expression is equivalent to quantity y raised to the negative third power times z raised to the fifth power end quantity over quantity z raised to the negative fourth power times y raised to the sixth power end quantity all raised to the negative second power?
Using exponent properties, the equivalent expression is:
[tex]\frac{y^{18}}{z^{18}}[/tex]
What is the equivalent expression?The original expression is:
[tex]\left[\frac{y^{-3}z^5}{z^{-4}y^6}\right]^{-2}[/tex]
When two terms that are divided have the same base and different exponents, we keep the base and subtract the exponents, hence:
[tex]\left[\frac{y^{-3}z^5}{z^{-4}y^6}\right]^{-2} = [y^{-3 - 6}z^{5 - (-4)}]^{-2} = [y^{-9}z^9]^{-2}[/tex]
The negative exponent at the numerator goes to the denominator, hence:
[tex][y^{-9}z^9]^{-2} = \left[\frac{z^9}{y^9}\right]^{-2}[/tex]
The negative outer exponent means that we have to exchange the numerator and denominator, hence:
[tex]\left[\frac{z^9}{y^9}\right]^{-2} = \left[\frac{y^9}{z^9}\right]^{2}[/tex]
Then both numerator and denominator exponents multiply by 2, hence the equivalent expression is:
[tex]\frac{y^{18}}{z^{18}}[/tex]
More can be learned about exponent properties at https://brainly.com/question/11975096
#SPJ1
Answer:
y^18/x^18
Step-by-step explanation:
Help please what is the slope of this
Answer:
1/2
Step-by-step explanation:
Rise over run. The rise is 4 the run is 8. Simplify.
Pina's recipe uses 2 cups of Sugar to make 2 1/2dozen 2 cookies. How many cups of Sugar does she use for two dozen cookies?
Answer:
1.6
Step-by-step explanation:
cookies : sugar
2.5 : 2
2 : x
Cross multiply
2*2 = 2.5x
4 = 2.5x
4/2.5 = x
x = 1.6
What is the difference between 0.2 and 0.2 repeating? How can you operate with both 0.2 and 0.2 repeating? Will the results from operating with the two rational numbers be the same or different? Provide Justification and examples to prove your reasoning.
The difference between 0.2 and 0.2 repeating is that 0.2 is that rational number and 0.2 repeating is the rational number.
What is defined as the rational and irrational numbers?Irrational numbers are real numbers that can't be depicted as a ratio-like fraction, p/q, where q and p are integers. In other words, irrational numbers are real numbers which are not rational numbers.Rational numbers are written in the form p/q, where p and q are any integer and q 0 respectively.Q represents the set of rational numbers. A rational number is one that can be demonstrated as a fraction with both the numerator and denominator being integers.For the two given values;
0.2 is the rational number as it can written in the fraction form as;
0.2 = 2/10
0.2 = 1/5 which is in the p/q form.
For the value of 0.2... repeating is also the rational number as it can be also written in the form of p/q.
0.2... = 0.2 bar is the correct representation.
Therefore, the number 0.2 and 0.2 repeating are the rational numbers.
To know more about the rational number, here
https://brainly.com/question/12088221
#SPJ9
If the radius of a circle is 16 inches find the diameter area and circumference
diamater:
[tex]d=2r \\\\d=2 \cdot 16 \\\\d=32[/tex]
circumference:
[tex]C=2 \pi r \\\\C=2 \cdot \p \cdot 16 \\\\C=32 \cdot \pi \\\\C \approx 100.48[/tex]
Hope that I helped you!
Find the area of a circle with a 15inch diameter in terms of pie
Answer:
56.25π in²
Step-by-step explanation:
The area of a circle is given by πr², where r is the radius of the circle.
Given that the diameter is 15 inch, let's calculate the radius.
Diameter= 2 ×radius
Radius
= 15 ÷2
= 7.5 in.
Applying the formula for area of circle,
area of circle
= π(7.5)²
= 56.25π in²
Since the question requires for the answer to be in terms of π, we have arrived at our answer.
For more about area of circle, do check out: https://brainly.com/question/19168464?utm_source=android&utm_medium=share&utm_campaign=question
.How many gallons of hydrochloric acid must be added to
12 gallons of a 30% solution to obtain a 40% solution
Answer:
5.6
Step-by-step explanation:
.30*12+x=.40(12+x)
3.6+x=4.8+.40x
x-.40x=4.8-3.6
.6x=1.2
x=1.2/.6
x=2 gallons of acid needs to be added.
Proof:
.30*12+2=.4(12+2)
3.6+2=.4*14
5.6=5.6
what is the perimeter of the vertices (1,4),(-1,-2),(2,0),(4,0) to the nearest hundredth
The Perimeter of the quadrilateral = 16.93 units
How to Find the Perimeter of a Quadrilateral?The perimeter of the quadrilateral with the given vertices is the sum of the distance between every vertices.
Calculate the distance between the vertices using the distance formula, d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
Name the vertices as shown below:
A(1,4)
B(-1,-2)
C(2,0)
D(4,0)
Distance between A and B:
AB = √[(−1−1)² + (−2−4)²]
AB = √(4 +36)
AB = 6.32 units
Distance between B and C:
BC = √[(−1−2)² + (−2−0)²]
BC = 3.61 units
Distance between C and D:
CD = √[(4−2)² + (0−0)²]
CD = 2 units
Distance between A and D:
AD = √[(4−1)² + (0−4)²]
AD = 5 units.
Perimeter of the quadrilateral = AB + BC + CD + AD = 6.32 + 3.61 + 2 + 5
Perimeter of the quadrilateral = 16.93 units
Learn more about the perimeter of quadrilateral on:
https://brainly.com/question/7320797
#SPJ1
In determining whether a process is in statistical control, the _____ should be analyzed first.
In determining whether a process is in statistical control, the R-chart should be analyzed first.
Given that, in determining whether a process is in statistical control, the _____ should be analyzed first.
What is statistical control?A quality control technique called statistical process control uses statistical techniques to monitor and manage a process. This makes it possible to maintain an effective process that generates more products that meet specifications while using less trash.
When measuring small subgroups (n 10) from a process at regular intervals, an R-chart is a sort of control chart that is used to track the process variability (as the range). The value of a subgroup range is represented by each point on the chart.
Therefore, in determining whether a process is in statistical control, the R-chart should be analyzed first.
To learn more about statistical control visit:
https://brainly.com/question/17150305.
#SPJ4
Triangle ABC lies on the coordinate plane with vertices located at A(7,6), B(-3,5), and
C(-4,9). The triangle is transformed using the rule (x,y) -> (2x.y-3) to create triangle
A'B'C'. Select all possible answers for the vertices of triangle A'B'C'.
a. (14,3)
b. (9,3)
c. (-6,10)
d. (-8,6)
e. (-6,2)
The coordinates of the vertices of the triangle A'B'C' are (14, 3), (- 6, 2) and (- 8, 6), respectively. (Correct choices: A, E, D)
What are the coordinates of the vertices of a traingle after using transformation rule?
In this question we find the locations of the three vertices of the triangle, each of which has to be transformed by using a non-rigid transformation rule, that is, a transformation rule that does not conserve the original form of the triangle. We are asked to determine the possible coordinates associated with the triangle A'B'C.
If we know that A(x, y) = (7, 6), B(x, y) = (- 3, 5) and C(x, y) = (- 4, 9), then the coordinates of the vertices of the triangle A'B'C' are:
A'(x, y) = (2 · 7, 6 - 3)
A'(x, y) = (14, 3)
B'(x, y) = (2 · (- 3), 5 - 3)
B'(x, y) = (- 6, 2)
C'(x, y) = (2 · (- 4), 9 - 3)
C'(x, y) = (- 8, 6)
The coordinates of the vertices of the triangle A'B'C' are (14, 3), (- 6, 2) and (- 8, 6), respectively. (Correct choices: A, E, D)
To learn more on non-rigid transformations: https://brainly.com/question/1447109
#SPJ1
Which number below is more than 15 but less than 16?
O√225
O√247
O √256
O √265
Answer: √247
Step-by-step explanation:
15^2=225. 16^2=256. n=number
n^2>225 and n^2<256
√225=15.
√247=15.7 ==> 2nd option. 247>225 and 247<256. 15.7>15 and 15.7<16
√256=16
√265=16.3