Answer:
yes
Step-by-step explanation:
The required expression represents the number of students on the bus would be S < 40.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
According to the question,
The number of students the bus holds, s which is less than 40,
So
S is less than 40
S < 40
[in math we have inequality represent the less than relation or greater than the relation with symbols "<" and ">"]
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4(2x - 5)+ 5(3x - 7)
Answer:
=23x−55
Step-by-step explanation:
Let's simplify step-by-step.
4(2x−5)+5(3x−7)
Distribute:
=(4)(2x)+(4)(−5)+(5)(3x)+(5)(−7)
=8x+−20+15x+−35
Combine Like Terms:
=8x+−20+15x+−35
=(8x+15x)+(−20+−35)
=23x+−55
Answer:
22x-55
pemdas works too i guess
please answer asap no trolls!
Answer:
pqe?
Step-by-step explanation:15446556
Helpppppp meeee please and thank you
Answer:
a
Step-by-step explanation:
A bag contains 28 counters all of different colours. Colin chooses one counter and gives it to
Obi, and another counter and gives it to Zeema. In how many ways can Colin do this?
Answer:
756 ways
Step-by-step explanation:
Given
[tex]Counters = 28[/tex]
[tex]Selection = 2[/tex]
Required
Determine the number of ways
The first counter can be selected in 28 ways
The second can be selected in (28 - 1) ways
The number of selection is:
[tex]Selection = 28 * (28 -1)[/tex]
[tex]Selection = 28 * 27[/tex]
[tex]Selection = 756[/tex]
Hence, number of possible selection is 756
ILL GIVE U A BRAINLIEST! NEED HELP ON TIMER
Which point is located on the x-axis?
On a coordinate plane, point A is at (0, 3), point B is at (3, 3), point C is at (3, 0), and point D is at (negative 3, 3).
Answer:
0,3 hddjbdhfjdndjdkdbdjdnd
20 points!!!
y=5(x - 5)(x+3)
written in vertex form and standard form
Vertex form:
y = 5 (x - 1)^2 - 80
Standard Form:
y = 5x^2 - 10x - 75
Please help, worth 20+ points! Please, help give answers!
Answer:
1. 0.34
2. 0.46
3. 0.75
4. 0.3 with a bar over 3
5. 0.63 with a bar over 63
6. 0.259 with a bar over 259
7. 0.1875
8. 0.35
Which of the following values represents the value of the second derivative of y with respect to x for the function defined by ln(xy) = x - y at point (1, 1)?
A. d2y/dx^2 = -1/2
B. d2y/dx^2 = -1/4
C. d2y/dx^2 = 0
D. d2y/dx^2 = 1/4
E. d2y/dx^2 = 1/2
Answer:
E
Step-by-step explanation:
We are given:
[tex]\ln(xy)=x-y[/tex]
And we want to find the second derivative at the point (1, 1).
So, we will take the derivative of both sides with respect to x:
[tex]\displaystyle \frac{d}{dx}\big[\ln(xy)\big]=\frac{d}{dx}\big[x-y\big][/tex]
Implicitly differentiate. The left will require the chain rule. Hence:
[tex]\displaystyle \frac{1}{xy}\cdot \frac{d}{dx}\big[xy\big]=1-\frac{dy}{dx}[/tex]
Differentiate:
[tex]\displaystyle \frac{1}{xy}\cdot \big( y+x \frac{dy}{dx} \big) =1-\frac{dy}{dx}[/tex]
Distribute:
[tex]\displaystyle \frac{1}{x}+\frac{1}{y}\frac{dy}{dx}=1-\frac{dy}{dx}[/tex]
Isolate the derivative term:
[tex]\displaystyle \frac{dy}{dx}\big(\frac{1}{y}+1\big)=1-\frac{1}{x}[/tex]
Divide:
[tex]\displaystyle \frac{dy}{dx}=\frac{1-\frac{1}{x}}{\frac{1}{y}+1}}[/tex]
Simplify. We can multiply both layers by xy. Hence:
[tex]\displaystyle\begin{aligned} \frac{dy}{dx}&=\frac{1-\frac{1}{x}}{\frac{1}{y}+1}}\cdot\frac{xy}{xy} \\ &=\frac{xy-y}{x+xy} \end{aligned}[/tex]
We can factor. Hence, our derivative is:
[tex]\displaystyle \frac{dy}{dx}=\frac{y(x-1)}{x(y+1)}[/tex]
Differentiate once more to find the second derivative:
[tex]\displaystyle \frac{d^2y}{dx^2}=\frac{d}{dx}\Big[\frac{y(x-1)}{x(y+1)}\Big][/tex]
Quotient rule:
[tex]\displaystyle \frac{d^2y}{dx^2}=\frac{\frac{d}{dx}[y(x-1)](x(y+1))-y(x-1)\frac{d}{dx}[x(y+1)]}{(x(y+1))^2}[/tex]
Differentiate using the product rule:
[tex]\displaystyle \frac{d^2y}{dx^2}=\frac{ \big[\frac{dy}{dx}(x-1)+y\big](x(y+1))-y(x-1)\big[(y+1)+x\frac{dy}{dx}\big] }{(x(y+1))^2 }[/tex]
You may choose to simplify, but this is not necessary, as we are only interested in the second derivative at (1, 1).
First, since first derivatives exist in our second derivative, we will find them first. Recall that the first derivative is given by:
[tex]\displaystyle \frac{dy}{dx}=\frac{y(x-1)}{x(y+1)}[/tex]
Therefore, at (1, 1), the first derivative is:
[tex]\displaystyle \frac{dy}{dx}_{(1, 1)}=\frac{1(1-1)}{1(1+1)}=\frac{1(0)}{1(2)}=0[/tex]
So, we will substitute 0 for every dy/dx for our second derivative. Thus:
[tex]\displaystyle \frac{d^2y}{dx^2}=\frac{ \big[(0)(x-1)+y\big](x(y+1))-y(x-1)\big[(y+1)+x(0)\big] }{(x(y+1))^2 }[/tex]
Simplify:
[tex]\displaystyle \frac{d^2y}{dx^2}=\frac{ y(x(y+1))-y(x-1)\big[(y+1)\big] }{(x(y+1))^2 }[/tex]
So, at the point (1, 1), our second derivative is:
[tex]\displaystyle \frac{d^2y}{dx^2}_{(1, 1)}=\frac{1(1(1+1))-1(1-1)(1+1)}{(1(1+1))^2}=\frac{2-0}{4}=\frac{1}{2}[/tex]
Hence, our final answer is E.
order from least to greatest 1.25, 1.52, 1.02, 1.50
Answer:
1.02 1.25 1.50 1.52.
Step-by-step explanation:
|•-•|
Answer:
1.02
1.25
1.5
1.52
Step-by-step explanation:
:)
Allison sent and received 240 text messages last month. 20% of those messages were sent to her best friend. How many text messages did Allison send to her best friend last month?
Answer:
48
Step-by-step explanation:
because 20% of 240 is 48.
Find the equation of the line that passes through(-2,-5) and (1,7).
Answer:
Where is the pic?
Step-by-step explanation:
I need help plz! ;((
Answer:
I think option B is correct
Use the following long division
Need help please !!!!!!
Answer:
200 patients
Step-by-step explanation:
60% = 120
100% = ?
100×120 = 12000÷60= 200
Express the ratio below in its simplest form.
3 and 1 half :4.5
Answer:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 101 (10)
. Next, add the whole number to the left of the decimal.
4 5/10
Reduce the fractional part of the mixed number.
4 1/2
Reduce the fraction.
9/2
Step-by-step explanation:
What is the measure of z G?
Zg is a measure of weight
Hey there!
Your lines EF and FG has the measure of 6 ✅
One of the triangle(s) has both sides equivalent lengths which is the isosceles triangle
Since pretty much every is most likely “equivalent” it’ll be an isosceles triangle
∠E ≅ ∠ G
∠E = 28° so that means ∠G = 28°
Answer: ∠G = 28° (Option D.)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
9. Consider the function, f(x) = x4 – 5x2 + 4. Select the statements that are true. In the box provided,
explain the choices you selected.
a. The degree of the polynomial is 5.
b. When graphed, this polynomial will look like a "W"
C. The zeros of this polynomial are (-2, 0), (-1,0), (1, 0) and (2,0).
d. The zeros of this polynomial are (-2, 0), (1, 0) and (3, 0)
Explanation of choices:
Answer:
the degree of the polynomial is 5
Solve for x.
Question 2 options:
A)
5
B)
7
C)
4
D)
6
If a = 3 what is the value of 2asquared
Answer:
18
Step-by-step explanation:
[tex]2 {a}^{2} = 2 {(3)}^{2} = 2 \times 9 = 18 \\ [/tex]
Answer:
36
Step-by-step explanation:
2 times 3=6 6^2 is 6 times 6
what is the equation of the line in point slope form that has a slope of -7/8, going through point (12,-3)
Answer:
y= (-7/8)x +7.5
Step-by-step explanation:
We know that the form for the equation of a line is
y= mx+b, with m being the slope, so our equation is
y=(-7/8)x+b. As b should be a constant, we need to find b. Plugging (12,-3) in, we have -3 = (-7/8)(12)+b = -10.5+b. Adding 10.5 to both sides, we get b= 7.5, making our equation
y= (-7/8)x +7.5
Based on your understanding of sound waves,
Explain what happens to sound waves when you turn up the volume on your speakers and
Explain what happens to the sound waves when a singer hits the high pitched notes during the National Anthem. Be sure to use the terms amplitude and frequency in your answer.
Answer:
The frequency increases as the pitch increases, and the amplitude increases as the volume increases
Step-by-step explanation:
solve by substitution 3x +y=13 and 5x-2y=7
Answer:
x=3
y=4
Step-by-step explanation:
I'm using 3x+y=13 to find y, then plug y into the second equation.
y= -3x+13
5x-2(-3x+13)=7
find x.
5x+6x-26=7
11x=33
x=3
now plug x into 3x+y=13(you could do it with the other equation too)
3(3)+y=13
y=13-9
y=4
The value of x and y is 3, and 4 respectively by the substitution method.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a system of equations;
3x +y=13 ...(1)
5x-2y=7 ...(2)
By using the substitution method.
[tex]\rm 5\cdot \dfrac{13-y}{3}-2y=7[/tex]
y = 4
Plug y = 4 in equation (1)
3x + 4 = 13
x = 3
Thus, the value of x and y is 3, and 4 respectively by the substitution method.
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Which list correctly orders A, B, and C from least to greatest when A= |7|, B = _6, and C = |-5|?
O A, B, C
O B, C, A
0 C, B, A
O A, C, B
Answer:
B, C, A
Step-by-step explanation:
A = |7| = 7
B = -6
C = |-5| = 5
Order: B, C, A
The scatter plot shows a number of CD's (in millions) that were sold from 1999 to 2005. If the trend continued,about how many CDs were sold in 2006?
A. 900
B.850
C.750
D.650
There 650 million CDs were sold in 2006 if there were 800 million CDs sold in 2002, and there were 700 million CDs in 2005 option (D) is correct.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
From the graph:
(2002, 800) and (2005, 700)
We can draw a line for the best fit as follows:
[tex]\rm (y-800) = \frac{700-800}{2005-2002}(x-2002)[/tex]
[tex]\rm (y-800) = 33.33(x-2002)[/tex]
When x = 2006
[tex]\rm (y-800) = -33.33(2006-2002)\\[/tex]
y = 666.68
Which is near 650 million
Thus, there 650 million CDs were sold in 2006 if there were 800 million CDs sold in 2002, and there were 700 million CDs in 2005 option (D) is correct.
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Other than squares, the polygons that can be the faces of a Platonic solid are
__and ___Check all that apply.
O A. regular pentagons
B. trapezoids
C. circles
D. regular hexagons
O E. equilateral triangles
OF. rectangles
The platonic solids in the given options are A. Regular pentagons and E. Equilateral triangles.
What are platonic solids?The solids that are polyhedrons, all of whose faces are congruent regular polygons and at every vertex, the same number of faces meets are called "Platonic solids"
There are only five types of platonic solids. They are:
CubeTetrahedronOctahedronIcosahedronDodecahedronWhat are the types of faces found on platonic solids?The major types of faces that are found on platonic solids are:
Equilateral triangles: They form Tetrahedron, Octahedron, and IcosahedronSquares: They form Hexahedron and cubePentagons: They form DodecahedronRegular polygons with more than 6 sides are not the faces of the platonic solid.
Thus, from the given shapes,
A. regular pentagons, E. equilateral triangles are used as faces of a Platonic solid.
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Evaluate the expression for the given value of x.
6.5x - 3.5 for x = 9
The solution is...
Answer:
55
Step-by-step explanation:
6.5x - 3.5 [x = 9]
6.5(9) - 3.5
58.5 - 3.5 = 55
what unit would you use to measure the area of a checkerboard
Answer:
I'd assume inches, hope this helps!
whats 2 1/2 X 1 1/2 someone pls help
Answer:
15/4
Step-by-step explanation:
2 1/2 x 1 1/2
First, make them both improper fractions to make them easier to multiply
5/2 x 3/2
Multiply their numerators together to get the numerator and multiply their denominators together to get the denominator.
5 x 3 = 15
2 x 2 = 4
5/2 x 3/2 = 15/4
n is an integer.
Write the values of n such that -15 < 3 ≤ 6
Help please ❤️❤️
Answer:
-4,-3,-2,-1,0,1
Step-by-step explanation:
First, doublepound and simplify it.
-15<3n
3n<6
Solve:
-5<n
n<2
Compound:
-5<n<2.
So the values are -4,-3,-2,-1,0,1
Hope this helps plz hit the crown :D
Answer:
The values of 'n' such that -15 < 3n ≤ 6 will be:
[tex]-5<n\le \:2[/tex]
[tex]-5<n\le \:2[/tex] can also be represented as: -4, -3, -2, -1, 0, 1, 2
Hence, the values of integer n will be:
-4, -3, -2, -1, 0, 1, 2Thus,
[tex]-15<3n\le \:6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-5<n\le \:2\:\\ \:\mathrm{Interval\:Notation:}&\:(-5,\:2]\end{bmatrix}[/tex]
The line graph is also attached below.
Step-by-step explanation:
Given the expression
-15 < 3n ≤ 6
Lets us solve the inequality for n
[tex]-15<\:3n\le \:6[/tex]
Divide all parts by n
[tex]\:-\frac{15}{3}<\frac{3n}{3}\le \frac{6}{3}[/tex]
simplify
[tex]-5<n\le \:2[/tex]
Therefore, the values of 'n' such that -15 < 3n ≤ 6 will be:
[tex]-5<n\le \:2[/tex]
[tex]-5<n\le \:2[/tex] can also be represented as: -4, -3, -2, -1, 0, 1, 2
Hence, the values of integer n will be:
-4, -3, -2, -1, 0, 1, 2Thus,
[tex]-15<3n\le \:6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-5<n\le \:2\:\\ \:\mathrm{Interval\:Notation:}&\:(-5,\:2]\end{bmatrix}[/tex]
The line graph is also attached below.
Write an equation for the line parallel to the given line that contains C. C(1,4); y = 1/8x-4 (Write in slope intercept form)
Answer:
he equation of the line is parallel to the given line and passing through the point C( 1,4) is x - 8 y + 31=0
slope intercept form
[tex]y = \frac{x}{8} + \frac{31}{8}[/tex]
Step-by-step explanation:
Explanation:-
Given equation of the line
y = 1/8x-4
8 y = x - 32
x - 8 y -32=0
The equation of the line is parallel to the given line a x + b y + k=0
x - 8 y + k=0
This line is passing through the point ( 1,4)
x - 8 y + k=0
1 - 32 + k =0
k = 31
The equation of the line is parallel to the given line and passing through the point C( 1,4) is x - 8 y + 31=0
slope intercept form
8 y = x + 31
[tex]y = \frac{x}{8} + \frac{31}{8}[/tex]