As for the function f(x) = x + 8 has no values of x where its derivative is equal to 7
A "function" is a mathematical concept that assigns a unique output to each input. The derivative of a function gives us information about how the function is changing at any given point.
In this question, we are asked to find the values of x where the derivative of the function f(x) = x + 8 is equal to 7.
Here we have to solve this problem, we can start by finding the derivative of the function f(x) = x + 8.
The derivative of this function is f'(x) = 1, which means that for every unit increase in x, the function f(x) increases by 1 unit.
Next, we set f'(x) = 7 and solve for x.
This gives us the equation 1 = 7, which is not possible.
Therefore, there are no solutions to this problem and the values of x where f'(x) = 7 do not exist.
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HELP ME PLSS!?!?
In the mall you receive a coupon for $5 off of a pair of jeans when you arrive at the store you find that all jeans are 25% off
.let x represent the original cost of the jeans
.the function f(x)=x-5 represents the cost of the jeans if you use the coupon
.the function g(x)=0.25x represents the cost of the jeans if you apply the store discount of 25% first
You find a pair of jeans for $36. How much would you pay for it using h(x)? How much would you pay using j(x)? Explain which function composition will give you the better discount?
Answer:
The function h(x) represents the cost of the jeans if you first use the coupon and then apply the store discount. The function h(x) can be computed using the composition of functions f(x) and g(x). The function j(x) represents the cost of the jeans if you first apply the store discount and then use the coupon. The function j(x) can be computed using the composition of functions g(x) and f(x).
If you use the composition h(x), you will pay $27 for the jeans. If you use the composition j(x), you will pay $30 for the jeans. Therefore, the composition h(x) will give you a better discount since it is cheaper.
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(This is on a coordinate plane)
Y = -2X + 1
That is the equation to find the coordinates
Please help me find ordered pairs that work!
By the way: I need two ordered pairs to make the line
Answer:
The equation y = -2x + 1 describes a line on a coordinate plane. To find two ordered pairs that work, you can pick any two x-values and plug them into the equation to get the corresponding y-values. For example, if you choose x = -1 and x = 4, then the corresponding y-values are y = -2(-1) + 1 = 1 and y = -2(4) + 1 = -7. This means that the two ordered pairs that work are (-1, 1) and (4, -7).
im a little confused and stuck
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{a + b - 3}\\\mathsf{= 10 + 7 - 3}\\\mathsf{= 17 - 3}\\\mathsf{= 14}\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{14}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
What is y? Cos^2(45) + cos ^2(60) + cos^2(y) = 1
Given - Cos^2(45) + cos ^2(60) + cos^2(y) = 1
We Know ,
Cos^2(45) = (1/[tex]\sqrt{2}[/tex])^2 ------- 1
cos^2(60)= (1/2)^2 --------2
From equation 1 &2
1/2 + 1/4 + cos^2(y) =1
cos^2(y) = 1- (1/2 + 1/4)
cos^2(y) = 4-2-1/4
cos^2(y) = 1/4
cos (y) = [tex]\sqrt{1/4}[/tex]
cos (y) = 1/2
cos (y) = cos (60)
y=60
The value of y that is being determined by the given
trigonometric equation Cos^2(45) + cos ^2(60) + cos^2(y) = 1 is y = 60
Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations in a triangle. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).
Given that, Cos^2(45) + cos ^2(60) + cos^2(y) = 1
We Know that ,
cos(45) = 1/[tex]\sqrt{2}[/tex] and cos(60) = 1/2
hence, Cos^2(45) = (1/[tex]\sqrt{2}[/tex])^2 (1)
cos^2(60)= (1/2)^2 (2)
From equation 1 &2
1/2 + 1/4 + cos^2(y) =1
cos^2(y) = 1- (1/2 + 1/4)
cos^2(y) = 4-2-1/4
cos^2(y) = 1/4
cos (y) = 1/[tex]\sqrt{4}[/tex]
cos (y) = 1/2
cos (y) = cos (60)
Therefore , y=60
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What is the depth of recursion in the binary search?
arr = {2, 6, 10, 99, 898) and key = 898
a. 3
b. 5
c. 2
d. 4
If the arr = {2, 6, 10, 99, 898) and key = 898 , then the depth of recursion in the binary search is (c) 2 .
The Depth of Recursion in Binary Search refers to the number of recursive calls required to find the target element in the array.
In the Binary Search, the array is repeatedly divided in half until , we find the target element or conclude that it is not present in the array.
The target element (Key) is = 898 and the array is {2, 6, 10, 99, 898} .
The initial array is divided into two parts: {2, 6, 10, 99} and {898} ;
Since 898 is larger than 99, we only need to consider the right half of the array: that is {898}.
The next step is to compare the target element (Key) = (898) with the middle element which is {898} .
and Since they both are equal, we have found the target element.
Therefore , the depth of recursion in this binary search is (c) 2.
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(a) Determine the y coordinate of the center of the circle
(b) The radius of the circle is 7 units. What is the value of b in the equation?
a. The y coordinate of the center of the circle is -1.
b. The value of b in the equation is 44 units.
The solution has been obtained using circles.
What is a circle?
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.
a. We are given the equation as
x² + y² - 4 x + 2 y = b
On solving the equation, we get
x² - 4 x + 4 + y² + 2 y + 1 = b + 4 + 1
This can be written as
( x - 2 )² + ( y + 1 )² = b + 5 ...(1)
So, the y - coordinate of the center of the circle is - 1.
b. We know that equation of circle is
( x - a )² + ( y - c)² = r²
On comparing this with (1), we get
b + 5 = r²
b + 5 = 7²
b + 5 = 49
b = 49 - 5
b = 44
Hence, the value of b is 44 units.
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(In 2-5, use number sense to decide where the decimal point belongs in the quotient.)
4. 4.08 divided by 6.4
5. 730.5 divided by 1.5
The result when,
4.08 divided by 6.4 is 6.375
730.5 divided by 1.5 is 487
What is division?Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.
We denote division by '÷' this symbol.
Given that,
Two statements,
08 divided by 6.4
and 730.5 divided by 1.5
⇒ 4.08/6.4
4.08 & 6.4 cab be written as
⇒ 408/100 & 64/10
So, 408/100÷ 64/10
⇒ 408 ÷ 640
⇒ 6.375
Similarly,
730.5 ÷ 1.5
⇒ 487
Hence, the results are respectively 6.375 & 487
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Please help fast!
The first two terms of an infinite geometric series are 4 and 3. Which of these could be used to find the sum of the series?
The formula for the sum of the infinite series is; Sn= 4/1 - 3/4. Option D
What is infinite geometric series?
An infinite geometric series is a series of numbers in which each term is a constant multiple of the previous term. The sum of an infinite geometric series can be found if the absolute value of the common ratio is less than 1.
The formula for the sum of the infinite geometric series can be found to be;
Sn = a/1 - r
r = common ratio
a = first term
Sn = Sum of the terms
Sn = 4/1 - 3/4
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Can you solve this please?
Answer:
5:12pm
Step-by-step explanation:
Total hours Mr. White used: 312M/60MPS=5.2hours
0.2 hour is 12 minutes.
He start at noon, 12 o'clock, so he will be there at 5:12pm
Which of the following graphs is decreasing when x > 3?
-2
-2
2
W.
24
-24
Y.
-2
-2
4+
121
-2
X.
у
++
24
2
Z.
2
X
X
The graph that is decreasing when x > 3 is Graph y .
How to find the graph ?With graph W, when x > 3, the graph is still increasing as shown by the arrow going up . With graph x , when the graph gets to the point where x > 3, it will keep increasing as well .
For graph Y, the graph rises all the way up to x = 3 and then from there, begins to decrease. This means that for all points where x > 3, the graph would be decreasing.
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chandler is building a wooden birdhouse for his mom. he finds a plank in the garage to use for the base. when he realizes it's too long, chandler cuts 3 inches off the plank. now it's the correct length of 8.25 inches.which equation can you use to find the length p of the plank before chandler cuts it?
The equation p = 8.25 + 3 inches can be used for finding the length p of the plank before chandler cuts it.
Addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
In mathematics, addition is the process of joining two or more integers. The numbers being added are known as addends, and the result or final response obtained after the procedure is known as the total.
From the given data,
The length of the plank cut by the chandler =3 inches
The correct length = 8.25 inches.
So, for finding the value of the length p of the plank before the chandler cuts, we will add the value of the correct length and the length of the plank cut by the chandler.
So, the value of p will be: 8.25+3 = 11.25 inches.
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x and y are integers such that
–2 ≤ x < 3
and –1 < y ≤ 4
Find the values of x and y when x = y.
Answer:
0, 1 and 2
Step-by-step explanation:
1) Find the possible values of x
-2, -1, 0, 1, 2, 3 can not be an option because x is less than 3 not equal to.2) Find the possible values of y
0, 1, 2, 3, 4-1 can not be an option because y is greater than -1 not equal to3) See the numbers that are the same
As x = y then we have to see what numbers in both possibilities are the sameWe can see the numbers 0, 1 and 2 in both x and y so that would be our answerHave a lovely day :)
simplify -2/9 ÷ 3 1/4
Answer:
[tex] - \frac{2}{9} \div 3 \frac{1}{4} \\ \\ \dashrightarrow \: - \frac{ 2}{9} \div \frac{13}{4} \\ \\ this \: can \: also \: \: be \: written \: as \: \\ \dashrightarrow \: - \frac{2}{9} \times \frac{4}{13} \\ \\ \dashrightarrow \: \boxed{ \: - \frac{8}{117} }[/tex]
hope helpful! :)
Answer:
-8/117
Step-by-step explanation:
[tex]\frac{-2}{9} /3\frac{1}{4} \\\\[/tex]
-first simplify 3 1/4
-simply multiply 4 by 3 and add 1. This is how you convert mixed fractions to whole fractions. Multipy denominator by whole number and add the numerator. The denominator stays the same so this will become
=13/4
- next because you're dividing two fractions, it is easier to take reciprocal of the denominator. You flip the fraction and change the sign. So instead of dividing by 13/4, you multiply by 4/13
- lets move the negative fraction (-2/9) to rigth hand side to make things easier to visualize. so our expressions right now will be:
=[tex]\frac{4}{13} *\frac{-2}{9}[/tex]
-now multiply like normal
= -8/117
15mm, 1m express the first quantity as a percentage of the second quantity
Answer:
1500%
Step-by-step explanation:
1mm = 100% /*15
15mm = 1500%
Leon has a container filled with 450 grams of tea leaves. Each morning, he uses 3 grams to make a cup of tea.
Which expression can be used to represent the amount of tea leaves remaining after x days?
450 – 3x
Answer:
The expression 450 – 3x can be used to represent the amount of tea leaves remaining after x days.
Each day, Leon uses 3 grams of tea leaves to make a cup of tea. Therefore, the amount of tea leaves remaining can be calculated by subtracting the amount used each day from the initial amount of tea leaves.
450 (initial amount of tea leaves) - 3x (amount used each day) = remaining amount of tea leaves after x days.
Therefore, the expression 450 – 3x can be used to represent the amount of tea leaves remaining after x days.
Step-by-step explanation:
Hope this helps!
A table tennis ball has a diameter of 40 mm. What is the volume of the table tennis ball in cubic millimeters?
Answer:
Approximately 33,510.7 cubic millimeters.
Step-by-step explanation:
The volume of a sphere can be calculated using the formula: V = 4/3 * π * r^3, where r is the radius of the sphere.
The diameter of the table tennis ball is 40 mm, so the radius is r = 40/2 = 20 mm.
To convert millimeters to cubic millimeters we have to cube the value of radius, so in this case, 20mm20mm20mm.
So, the volume of the table tennis ball in cubic millimeters is:
V = 4/3 * π * 20^3 = 4/3 * π * 8000 = approximately 33,510.7 cubic millimeters.
Determine the 4-day SMA for the ten consecutive trading day closing
prices for International Business Machines Corp listed below.
$121.69, $122.85, $120.70, $123.61, $123.18
$122.03, $122.82, $124.14, $124.92, $124.06
The 4-day SMA for International Business Machines Corp is $122.928.
What is trading?Trading is the process of buying and selling goods or services in exchange for money. It involves the transfer of ownership of an asset in return for a payment. Trading is the backbone of the global economy, and it has been around for centuries. It involves a wide range of activities including buying and selling stocks, currencies, commodities, and other financial instruments. Trading can be done both offline and online in today's world, and requires a significant amount of knowledge and experience to be successful.
The 4-Day Simple Moving Average (SMA) for International Business Machines Corp is calculated as follows:
($122.85 + $120.70 + $123.61 + $123.18 + $122.03 + $122.82 + $124.14 + $124.92 + $124.06 + $121.69) / 10 = $122.928
Therefore, the 4-day SMA for International Business Machines Corp is $122.928.
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help pls Solve: 2(2x^2 - 1) + 2x
Answer: 18x-4
Step-by-step explanation:
4x^2-2+2x= 18x-4
PLEASE I NEED HELP HURRY
The function f(x) is equal to x√x.
The value of a is 25/4.
What is a function?
A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two varying quantities.
Given integration is
[tex]5+\int_a^x\frac{f(t)}{t^2}dt =2\sqrt{x}[/tex]
Rewrite the equation
[tex]\int_a^x\frac{f(t)}{t^2}dt[/tex]= 2√x - 5
The differentiation of 2√x is f(t)/t² at t = x.
The differentiation of 2√x is 1/√x.
Therefore, 1/√x = f(x)/x²
x²/√x = f(x)
f(x) = x√x
Putting f(t) = t√t in the given equation:
[tex]5+\int_a^x\frac{t\sqrt{t} }{t^2}dt =2\sqrt{x}[/tex]
[tex]\int_a^x\frac{1 }{\sqrt{t}}dt =2\sqrt{x}-5[/tex]
[tex][2\sqrt{t}]_a^x[/tex] = 2√x - 5
2√x - 2√a = 2√x - 5
2√a = 5
√a = 5/2
Square both sides:
a = 25/4
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A ballet school wants to buy new slippers for students in a class. They collected the sizes and displayed them in a line plot. A horizontal number line starting at 3.5 with tick marks every 0.5 units up to 8. The following values are labeled: the value of 3.5 has one dot, the value of 4 has two dots, the value of 5 has one dot, the value of 6.5 has one dot, the value of 7 has one dot, the value of 7.5 has two dots and the value of 8 has one dot. The image is titled Ballet Shoe Sizes. What is the range, and what does it mean in terms of this data set? The range is 3.5, and it means that it is the value that occurs the most. The range is 4.0, and it means that the data varies by a value of 4.0. The range is 3.5, and it means that it is the value that is the smallest. The range is 4.5, and it means that the data varies by a value of 4.5.
The range is 4.5, and it means that the data varies by a value of 4.5.
What is the data set?
A data set is an ordered collection of data. As we know, a collection of information obtained through observations, measurements, study, or analysis is referred to as data. It could include information such as facts, numbers, figures, names, or even basic descriptions of objects.
The range is the difference between the largest and smallest values in a data set.
In this case, the largest value is 8 and the smallest value is 3.5, so the range is 8 - 3.5 = 4.5.
This means that the ballet shoe sizes in this class vary by 4.5, with the largest size being 8 and the smallest size being 3.5.
Hence, The range is 4.5, and it means that the data varies by a value of 4.5.
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the value of r is 4/5 times the value of t where r is greater than 0
The value of t is 20 percent greater than the value of r
Here, the value of r is 4/5 times the value of t.
This means, the value of r would be,
r = (4/5)t
This means, the value of t is greater than the value of r by (t - r)
We find the value of (t - r)
t - r
= t - (4/5)t
= t (1 - 4/5)
after simplifying this expression we get,
t - r = (1/5)t
This means, the value of t is greater than the value of r by (1/5)
To find the percent :
1/5 × 100
= 20%
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The complete question is:
the value of r is 4/5 times the value of t; where r > 0. The value of t is what percent greater than the value of r ?
HELP ME ASP !!!!!!!!!!!!!!!!!!!!
y=x+3+2
whats the answer
Answer:
m=1
Step-by-step explanation:
A couple buy a houe for 200,000. The value of the houe appreciate at 7% per year. Which equation model thi ituation?
The equation models "Value of the house = 200,000 * (1 + 0.07t)" is properly representing the condition given.
Let's call the number of years passed "t".
The value of the house after t years is given by the equation:
Value of the house = 200,000 * (1 + 0.07t)
This equation models the situation where the value of the house increases by 7% each year, starting from 200,000.
A linear equation is an algebraic equation with simply a constant and a first-order (linear) component of the form y=mx+b, where m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation with two variables," where y and x are the variables.
Ax+By=C is the typical form for linear equations in two variables. 2x+3y=5, for example, is a simple linear equation. It is rather simple to get both intercepts when an equation is stated in this way (x and y).
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Please explain the best you can. And please don’t answer if you don’t know how to do it. :)
Answer:
10
Step-by-step explanation:
whole circle area = π r² = π*7² =49π
60 = 1/6 of the circle
so 49π/6 is the slice area
then minus the triangle area
triangle area =1/2*6* height
height² =6²-3² =36-9 = 27
so height = 5.2
triangle area =1/2*6* 5.2 =15.6
so the sliver = 49π/6 -15.6 =10
need help with this problem
1. [tex]\overline{AB} \cong \overline{CB}[/tex], [tex]D[/tex] is the midpoint of [tex]\overline{AC}[/tex]
2. [tex]\overline{AD} \cong \overline{DC}[/tex]
3. [tex]\overline{BD} \cong \overline{BD}[/tex]
4. [tex]\triangle ABD \cong \triangle CBD[/tex]
should the researcher use the rows or the columns of the field as blocks? justify your answer.
Yes, the researcher use the rows or the columns of the field as blocks.
When conducting research, it is important to think about which structure to use as the basis for your work.
In particular, when dealing with a matrix, the question arises of whether the researcher should use the rows or columns as blocks.
Both have their own advantages and drawbacks, which should be taken into consideration before making a decision.
However, it can be challenging to discover similarities between data points within the same row.
Additionally, the matrix structure can become distorted, as the data points no longer form a neat square or rectangle.
Ultimately, which approach the researcher should take depends on the type of research being conducted and the goals of the project.
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A circle with radius 1-inch rolls without slipping along the sides of a right triangle whose side lengths are 3 inches, 4 inches, and 5 inches as shown. When the circle gets to a vertex, it continues to rotate around the vertex. The circle stars and ends at the middle of the 5 inch side. The center of the circle travels a total distance of [tex]M+N\pi[/tex]
in one complete circuit. Find [tex]M+N[/tex] in simplest form
The total distance covered by the circle is 15.14 inches.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, A circle with a radius of 1 inch rolls without slipping along the sides of a right triangle.
We know the distance around the triangle is the perimeter of the triangle.
The perimeter of the triangle is the sum of the lengths of all the sides.
Here, 'M' is the perimeter and 'N' is the number of complete rotations.
Therefore,
M + Nπ.
= (3 + 4 + 5) + 1(3.14).
= 12 + 3.14.
= 15.14 inches.
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x^(2)-7x+c=(x+a)^(2)
Answer:
This equation is a difference of squares factorization. It states that the difference between the square of x and 7x plus some constant c is equal to the square of (x+a). To solve for a and c, we can expand both sides of the equation:
X^(2) - 7x + c = x^(2) + 2ax + a^(2)
And we can set them equal to each other and solve for a and c:
x^(2) - 7x + c = x^(2) + 2ax + a^(2)
-2ax - a^(2) = -7x + c
a = (7x - c) / 2x
c = x^(2) - 7x + a^(2)
Note that this is valid as long as x is not equal to 0.
Given that V is directly proportional to r^3, copy and complete the table.
In proportion the complete table is ,
r 1 2 4 [tex]1\frac{1}{2}[/tex]
V 4 32 256 [tex]13\frac{1}{2}[/tex]
What is proportion?
A percentage is created when two ratios are equal to one another. We write proportions to construct equivalent ratios and to resolve unclear values. a comparison of two integers and their proportions. According to the law of proportion, two sets of given numbers are said to be directly proportional to one another if they grow or shrink in the same ratio.
Here the given is V∝[tex]r^3[/tex] .
To remove proportion we need to include constant then,
=> V = k[tex]r^3[/tex]
Now put r=1 and V= 4 then
=> 4= k*1
=> k=4
Then the equation is V=4[tex]r^3[/tex].
Now put r=2 then
=> V= 4[tex]\times 2^3[/tex]
=> V= 4× 8 = 32
Now put V=256 then
=> 256 = 4[tex]r^3[/tex]
=> [tex]r^3=\frac{256}{4}[/tex]
=> [tex]r^3=64[/tex]
=> r = 4
Now r=1[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{2}[/tex] = 1.5 then
=> V= 4[tex]\times 1.5^3[/tex]
=> V=[tex]\frac{27}{2}[/tex]
=> V = [tex]13\frac{1}{2}[/tex]
Hence the complete table is,
r 1 2 4 [tex]1\frac{1}{2}[/tex]
V 4 32 256 [tex]13\frac{1}{2}[/tex]
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