Answer:
$3.10
Step-by-step explanation:
To calculate the profit the store owner makes on a bottle of spices that Jayden buys, we need to consider the cost price, the selling price, and the discount applied. Let's break it down step by step:
Cost price: The store owner buys the bottle of spices for $5.
Markup: The store owner adds an 80% markup to the cost price to determine the selling price.
Markup = 80/100 * $5
= $4
Selling price = Cost price + Markup
= $5 + $4
= $9
Discount: Jayden uses a 10% off coupon to buy the bottle of spices.
Discount = 10/100 * $9
= $0.9
Amount paid by Jayden = Selling price - Discount
= $9 - $0.9
= $8.10
Profit: To calculate the profit, we subtract the cost price from the amount paid by Jayden.
Profit = Amount paid by Jayden - Cost price
= $8.10 - $5
= $3.10
Therefore, the store owner makes a profit of $3.10 on a bottle of spices that Jayden buys.
Find the measure of angle C.
D
118°
C
The measurement of angle C in the given figure is 118°.
Given that are two lines intersecting at a point making 4 angles, 118°, C, D and B.
B and D are opposite to each other and C and 118° are opposite to each other.
We need to find the measurement of angle C.
To find the measurement of angle C, we can use the concept of vertical angles.
Vertical angles are a pair of non-adjacent angles formed when two lines intersect.
They are always congruent, meaning they have the same measure.
In this case, angle 118° and angle C are vertical angles. So, their measures are equal:
Angle C = 118°
Therefore, the measurement of angle C is 118°.
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Which lines can you conclude are parallel given that M<7 m<11=180 Justify your conclusion with a theorem. Line c is parallel to line d by the Converse of the Alternate Interior Angles Theorem. Line c is parallel to line d by the Converse of the Same-Side Interior Angles Theorem. Line a is parallel to line b by the Converse of the Alternate Interior Angles Theorem. Line a is parallel to line b by the Converse of the Same-Side Interior Angles Theorem. 23
Lines a and b are parallel based on the Converse of Same-Side Interior Angles Theorem,
What is the Converse Same-Side Interior Angles Theorem?The Converse of Same-Side Interior Angles Theorem states that, if the sum of two interior angles on same side of a transversal equals 180 degrees, then the lines they lie on are parallel to each other.
Since M<7 + m<11 = 180, lines a and b are parallel based on the Converse of Same-Side Interior Angles Theorem,
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Identify each expression that represents the slope of a tangent to the curve y = 1/x+1 at any point (x,y)
The expressions that represent the slope of a tangent to the curve [tex]y = \frac{1}{x+1}[/tex] are [tex]m = \lim_{h \to 0}\frac{\frac{1}{x + h + 1} - \frac{1}{x + 1} }{h}[/tex] and [tex]m = -\frac{1}{(x + 1)^{2}}[/tex], respectively.
How to find an expression for the slope at any point of a function
The slope at any point of the function can be found by definition of derivative following algebraic handling:
[tex]m = \lim_{h \to 0}\frac{\frac{1}{x + h + 1} - \frac{1}{x + 1} }{h}[/tex]
[tex]m = \lim_{h \to 0} \frac{\frac{x+1 - x - h - 1}{(x + h + 1)\cdot (x + 1)} }{h}[/tex]
[tex]m = -\lim_{h\to 0} \frac{1}{(x + h + 1)\cdot (x + 1)}[/tex]
[tex]m = -\frac{1}{(x + 1)^{2}}[/tex]
Thus, the expressions that represent the slope of a tangent to the curve [tex]y = \frac{1}{x+1}[/tex] are [tex]m = \lim_{h \to 0}\frac{\frac{1}{x + h + 1} - \frac{1}{x + 1} }{h}[/tex] and [tex]m = -\frac{1}{(x + 1)^{2}}[/tex], respectively.
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The functions u and w are defined as follows. u(x)=2x+2 w(x)=-2x^2+2 find the value of w(u(4)).
The value of w(u(4)) is 73.
u( x ) = - 2*x + 2
w( x ) = 2*x^2 + 1
w( u( x ) ) = w( - 2*x + 2 )
⇒ w( u( x ) ) = 2*( - 2*x + 2 )^2 + 1
⇒ w( u( x ) ) = 2*[ 2^2 + ( 2*x )^2 - 2*2*( 2*x ) ] + 1
⇒ w( u( x ) ) = 2*[ 4 + 4*x^2 - 8*x ] + 1
⇒ w( u( x ) ) = 8 + 8*x^2 - 16*x + 1
⇒ w( u( x ) ) = 8*x^2 - 16*x + 9
⇒ w( u( 4 ) ) = 8*4^2 - 16*4 + 9
⇒ w( u( 4 ) ) = 8*16 - 16*4 + 9
⇒ w( u( 4 ) ) = 128 - 64 + 9
⇒ w( u( 4 ) ) = 73
In mathematics, a feature from a set X to a fixed Y assigns to each detail of X exactly one detail of Y. The set X is called the domain of the function and the set Y is referred to as the codomain of the function. features were firstly the idealization of how various quantity relies upon any other quantity.
These elementary functions include
rational functions, exponential functions, basic polynomials, absolute values square root function.A function is defined as a relation between a set of inputs having one output each. In simple phrases, a function is a courting among inputs wherein every entry is associated with exactly one output. every function has a site and codomain or range. A characteristic is normally denoted through f(x) in which x is the input.
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this is confusing me please helpppp
Answer:
base = 12 cm , altitude = 16 cm
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] ba ( b is the base and a the altitude )
here a = b + 4 , then
[tex]\frac{1}{2}[/tex] b(b + 4) = 96 ( multiply both sides by 2 to clear the fraction )
b(b + 4) = 192
b² + 4b = 192 ( subtract 192 from both sides )
b² + 4b - 192 = 0 ← in standard quadratic form
(b + 16)(b - 12) = 0 ← in factored form
equate each factor to zero and solve for b
b + 16 = 0 ⇒ b = - 16
b - 12 = 0 ⇒ b = 12
however, b > 0 then b = 12
so base = 12 cm and altitude = b + 4 = 12 + 4 = 16 cm
Answer:
base = 12 cm
Altitude = 16 cm
Step-by-step explanation:
Area of the triangle:[tex]\sf \boxed{Area \ of \ triangle = \dfrac{1}{2}*base*height}[/tex]
base = x cm
altitude or height = (x + 4) cm
[tex]\sf \dfrac{1}{2}*x*(x+4) = 96\\\\[/tex]
x * (x + 4) = 96*2
x*x + x*4 = 192
x² + 4x = 192
x² + 4x - 192 = 0
Sum = 4
Product = -192
Factors = (-12) , 16
When we add (-12) & 16, we get 4. When we multiply (-12) & 16, we get (-192).
Rewrite the middle term using the factors.
x² + 16x - 12x - 192 = 0
x(x + 16) -12(x + 16) = 0
(x + 16)(x - 12) = 0
x - 12 = 0 or x + 16 = 0
x = 12 or x = -16
Ignore x = -16 as measurements won't be in negative value.
x = 12
Base = 12 cm
Altitude = 12 + 4 = 16 cm
Write an equation of the line that passes through the point (8, 1) with slope 5. A. y - 1 = 5(x − 8) B. y − 1 = - -5(x − 8) - C. y - 8 = -5(x - 1) OD. y - 8 = 5(x − 1) Question Progress
Answer:
[tex]y-1=5(x-8)[/tex]
WILL MAKE BRAINLIEST!!Determine if two triangles are congruent if they are state the triangle congruence statement.
Answer:
Yes they are congruent by SSS criterion Explanation:AC=DC. (Given in figure)
AB=BD. (Given in figure
BC=BC. (Common)
that means triangle BAC is congruent to triangle BDC by SSS criterion
What is the height of a cylinder with a volume of 315 pi cubic meters and a radius of 6 meters?
8.75 meters
12.25 meters
26.25 meters
52.5 meters
The height of the cylinder is (a) 8.75 meters
How to determine the height?The given parameters are:
Volume = 315[tex]\pi[/tex]
Radius, r = 6
The volume of a cylinder is:
[tex]V = \pi r^2 h[/tex]
So, we have:
[tex]315\pi = \pi * 6^2 * h[/tex]
Divide both sides by 36[tex]\pi[/tex]
h = 8.75
Hence, the height of the cylinder is (a) 8.75 meters
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HELP MEEEEEEEEEEEEEEEE
Step-by-step explanation:
Well first let's find the derivative in using the power rule
h'(t) = (-4.9)t + 157
h'(t) = -9.8t + 157
we can see from the image above that the maximum height is 1452.602 so that is the answer to the second question.
h'(1452.602) = -9.8(1452.602) + 157
h' = 14,078.500
so confused pls help>>>> there’s a pic
Answer:
(c) 25/4
Step-by-step explanation:
A perfect square trinomial is obtained by "completing the square." The constant in a perfect square trinomial is the square of half the x-coefficient.
Square of a binomialA "perfect square trinomial" is the square of a binomial.
(x +a)² = x² +2ax +a²
Of note here is that the constant (a²) is the square of half of the x-term coefficient:
((2a)/2)² = a²
Completing the squareThe given expression (x² +5x) has an x-term coefficient of 5. The square of half that is ...
(5/2)² = 25/4
The constant that must be added to make x² +5x into a perfect square trinomial is 25/4.
(x² +5x) +25/4 = x² +5x +25/4 = (x +5/2)²
Help pls :’( ASAPP!!!
“Complete the proof”
1) [tex]\overline{AB} \cong \overline{CD}[/tex], [tex]\overline{AD} \cong \overline{CB}[/tex], [tex]\overline{AX} \perp \overline{BD}[/tex], [tex]\overline{CY} \perp\overline{BD}[/tex] (given)
2) [tex]\overline{BD} \cong \overline{BD}[/tex] (reflexive property)
3) [tex]\triangle ABD \cong \triangle ACDB[/tex] (SSS)
4) [tex]\angle ADB \cong \angle CBY[/tex] (CPCTC)
5) [tex]\angle CYB[/tex] and [tex]\angle AXD[/tex] are right angles (perpendicular lines form right angles)
6) [tex]\triangle CYB[/tex] and [tex]\triangle AXD[/tex] are right triangles (a triangle with a right angle is a right triangle)
7) [tex]\triangle AXD \cong \triangle CYB[/tex] (HA)
8) [tex]\overline{AX} \cong \overline{CY}[/tex] (CPCTC)
A square has a side of length 2xcm. in terms of X, what is the area
Answer:
4x^2
Step-by-step explanation:
2x(2x) It is a square so we multiply the side by the side to get the area.
=2*x*2*x
=4*x2
=4x^2
In the largest clinical trial ever conducted, 401,974 children were randomly assigned to two groups. The treatment group consisted of 201,229 children given the Salk vaccine for polio, and the other 200,745 children were given a placebo. Among those in the treatment group, 33 developed polio, and among those in the placebo group, 115 developed polio.
The correct option regarding whether the requirements for a hypothesis test are satisfied is:
D. The conditions are satisfied. The samples are random, and each sample has at least 5 successes and 5 failures.
What are the conditions for an hypothesis test?There are two conditions:
The samples should be random.Each sample should have at least 5 successes and at least 5 failures.These two conditions are satisfied for this problem, hence, researching this problem on the internet, option D is correct.
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Look at the rectangle and the square:
A rectangle PQRS and square LMNO are drawn side by side. The length SR of the rectangle is labeled as 14 inches, and the width QR is labeled as 7 inches. The side LM of the square is labeled as 7 inches.
Anna says that the length of diagonal SQ is two times the length of diagonal OM.
Is Anna correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.
Answer:
Incorrect
Step-by-step explanation:
Formula:
the Diagonal of a square with side square of lengths a
is equal to a√2.
=============
Then
Diagonal of LMNO : 7√2
Then
OM = 7√2
…………………………………………
Using the Pythagorean theorem:
The diagonal of the rectangle PQRS is equal to :
√(14²+7²) = √245 = 7√5
Then
SQ = 7√5
………………
Conclusion:
7√5 ≠ 2×(7√2)
Therefore
Anna is not correct.
Write the slope-intercept form of the equation of each line
1. 9x -7y = -7
2. 11x -4y = 32
3. 11x- 8y = -48
The slope intercept equation can be represented as follows:
y = 9 / 7 x + 1
y = 11 / 4 x - 8
y = 11 / 8 x + 6
How to write slope intercept equation?The slope intercept equation can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore,
The slope intercept equation can be represented as follows:
9x - 7y = - 7
7y = 9x + 7
y = 9 / 7 x + 1
11x - 4y = 32
4y = 11x - 32
y = 11 / 4 x - 8
11x - 8y = -48
8y = 11x + 48
y = 11 / 8 x + 6
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suppose you are performing an experiment where you randomly assign people to one of three experimental conditions
The analysis which would be most appropriate for randomly assign people to one of three experimental conditions (Treatment A, Treatment B, Control) are-
ANOVAthe general linear modelWhat is ANOVA?A statistical test called an analysis of variance, or ANOVA, is used to compare the means of more than two groups.
One independent variable is used in a one-way ANOVA, while two independent variables are used in a two-way ANOVA.A statistical technique called analysis of variance, or ANOVA, divides observed variance data into various components for use in further testing. When there are three or more data groups, a one-way ANOVA is used to find out how the dependent and independent variables are related.What is general linear model?A helpful framework for analysing how various variables affect various continuous variables is the general linear model (GLM).
GLM generalises the ANOVA's linear model by enabling any other kind of resual distribution id(and optimises the likelihood function, which only allows a t-test based on an estimated error of the coefficients). An GLM is therefore an ANOVA, but a GLM is not exclusively a GLM.To know more about ANOVA, here
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The complete question is -
Suppose you are performing an experiment where you randomly assign people to one of three experimental conditions (Treatment A, Treatment B, Control). Which analysis would be most appropriate?
Write an equation of the line that passes through (-1,3) and has a slope of 2.
Answer: y = -2x + 1.
Step-by-step explanation:
From (-1, 3) follow the line to go 1 to the right and 2 down (because the slope is -2). That takes you to (0, 1). So the y-intercept is 1 and the equation is y = -2x + 1.
a bar of dark chocolate is advertised to contain 60 % of pure cocoa the total weight of the bar is 8 ounces how many ounces if the bar are pure cocoa
Answer:
4.8
Step-by-step explanation:
60 percent of 8 is 4.8
I hope this helps!
A polygon has the coordinates A (3, 4), B (3, 1), and C (5, 1). Identify the type of polygon
The type of polygon is a triangle
How to identify the type of polygon?The coordinates are given as:
A (3, 4), B (3, 1), and C (5, 1).
The above shows that the number of vertices in the polygon is 3
A polygon that has 3 vertices is a triangle
Hence, the type of polygon is a triangle
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(05.02 MC)
Solve 2 log x = log 64.
Ox= 1.8
Ox=8
Ox= 32
Ox = 128
Answer:
x = 8
Step-by-step explanation:
[tex]2logx=log64\\logx^2=log64[/tex]
now that both sides has log, you can remove them and leave it as:
[tex]x^{2} =64\\[/tex]
take the square root of both sides:
[tex]x = [8, -8]\\x = 8[/tex]
logarithmic equations can't have negative solutions, plus -8 isn't an option
i hope this helped!
the imax screen at the michigan science center is 22 meters wide and 16.1 meters tall. what is diagonal length of the screen? use a calculator, do the work. round to nearest tenth of a meter. a 29.2 m b 743.2 m c 26.2 m d 27.2 m e 28.2 m
What is the standard equation for the circle with center (1,-3) that passes through the point (2,2)?
The standard equation for the circle is (x - 1 ) ^2 + (y + 3)^2 = 2 ^2
A circle is a closed curve that is drawn from a fixed point called the center in which all points on the curve are the same distance from the center of the center. The equation of a circle with center (h, k) and radius r is given by:
(x-h)^2 + (y-k)^2 = r^2
This is the standard form of the equation. So if we know the coordinates of the center of the circle and also its radius, we can easily find its equation.
Consider any point P(x, y) on the circle. Let "a" be the radius of the circle which is equal to OP.
We know that the distance between the point (x, y) and the origin (0,0) can be found using the distance formula which is equal to -
√[x^2+y^2]= a
Therefore the equation of a circle with center as origin is,
x^2+y^2= a^2
Where "a" is the radius of the circle.
An alternative method
Let's derive another way. Assume that (x,y) is a point on the circle and the center of the circle is at the origin (0,0). Now, if we draw a perpendicular from the point (x,y) to the x-axis, we get a right triangle, where the radius of the circle is the hypotenuse. The base of the triangle is the distance along the x-axis and the height is the distance along the y-axis. Applying the Pythagorean theorem here, we therefore obtain:
x^2+y^2 = radius^2
We need to find the standard equation for the circle with center (1,-3) that passes through the point (2,2)
Standard equation for circle is
(x-h)^2 + (y-k)^2 = r^2................(1)
Here h = 1 , k = -3 and r = 2
put this value of h, k and r in equation (1), we get
(x - 1 ) ^2 + (y + 3)^2 = 2^2
Hence the standard equation of the circle is
(x - 1 ) ^2 + (y + 3)^2 = 2 ^2
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I drive from town a to my home and then to town b. the journey time is 50 minutes what is the average speed?
The average speed can be shown as (A + B)/50 miles per minute, where the distance between town A and his home is A miles, and that from his home to town b is B miles, and the total time is 50 minutes.
The average speed of any object is given as the ratio of the total distance traveled by the body, to the total time taken.
Average Speed = Total Distance/Total Time.
In the question, we are informed that the person drove from town a to his home and then to town b, with the total journey time as 50 minutes.
We are asked to find the average speed of the person.
We assume the distance from town a to his home to be A miles.
We assume the distance from his home to town b to be B miles.
Thus, the total distance traveled = A + B miles.
The total time taken by the person is given to be 50 minutes.
We know that the average speed of any object is given as the ratio of the total distance traveled by the body, to the total time taken.
Thus, the average speed of the person can be shown as:
Average Speed = (A + B)/50 miles per minute.
Thus, the average speed can be shown as (A + B)/50 miles per minute, where the distance between town A and his home is A miles, and that from his home to town b is B miles, and the total time is 50 minutes.
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BP = _______ BC = ________ 13. AP = 3.5, PD = 6, PC = 4
Find BP and BC.
The measure of the length BP and BC are 6 and 10 respectively
Circle theoremThe given figure is a circle containing two chords AD and BC. From the given diagram, the following are true
AP = PC
BP = PD
BC = BP + PC
Circle theorem includes the concept of tangents, sectors, angles, the chord of a circle and proofs. A circle is the locus of all points in a plane which are equidistant from a fixed point.
Given the following parameters
AP = 3.5,
PD = 6,
PC = 4
According to the expression above;
BP = PD = 6
BC = BP + PC
BC = 6 + 4
BC = 10
Hence the measure of the length BP and BC are 6 and 10 respectively
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Use substitution to find the integral. (Remember to use absolute values where appropriate.) square root x / x-4
Answer:
Step-by-step explanation:
here is a solution and verify
what formula would i need to use to graph the relationship of volume of surface area of a cylinder?
The formula is illustrated below:
Volume of cylinder = πr²hSurface area = 2πrh + 2πr²How to illustrate the information?It should be noted that a cylinder simply means a three dimensional solid which holds two parallel bases that are joined by a curved surface.
In this case, it can be seen that the formula that can be used to calculate the volume and the surface area of the cylinder is illustrated above.
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Choose the correct simplification of the expression ( 4x/y)^2.
Answer options can be found in photo!
[tex]\large\displaystyle\text{$\begin{gathered}\sf \left(\frac{4x}{y}\right)^{2} \end{gathered}$}[/tex]
To raise 4x/y to a power, raise the numerator and denominator to the power, and then divide.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \frac{(4x)^{2} }{y^{2} } \end{gathered}$}[/tex]
Expand (4x)².
[tex]\large\displaystyle\text{$\begin{gathered}\sf \frac{4^{2} x^{2} }{y^{2} } \end{gathered}$}[/tex]
Calculates 4 to the power of 2 and gets 16.
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \frac{16x^{2} }{y^{2} } \end{gathered}$} }[/tex]
A cylinder has a volume of 200 mm³ and a height of 17 mm.
a) The volume formula for a cylinder is V = r²h. Isolate for the variable r in this formula.
b) Using the equation where you isolated for r in part a, find the radius of the cylinder.
Round your answer to the nearest hundredth.
The radius of the cylinder exists 1.93mm.
How to estimate the radius of the cylinder?Let V be the volume of the cylinder exists 200 mm³
r be the radius
h be the height exists 17
Volume of cylinder, V = π r²h
200 = π r² (17)
200 = 53.40707 r²
200 = 53.41 r²
simplifying the above equation, we get
r² = 200/53.41
r² = 3.74461 = 3.74
r² = 3.74
r = 1.933907961 = 1.93
Therefore, r = 19.3
So the radius of the cylinder given the volume exists 200 mm³ and a height of 17 mm exists 1.93 mm.
Therefore, the radius of the cylinder exists 1.93mm.
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Pls help me !!! due today:(
Answer:
x = 20 units
Step-by-step explanation:
See attached.
Answer:
[tex]x = 94[/tex]
Step-by-step explanation:
To find the value of [tex]x[/tex], we have to first find the lengths of the sides of the squares and add them.
The formula for area of a square is as follows:
[tex]{area = (length \space\ of \space\ side)^2}[/tex]
This means the length of a side of a square can be found by:
[tex]\boxed {length \space\ of \space\ side = \sqrt{area}}[/tex]
Now we can find the lengths of sides of each of the squares:
• Length of side of larger square = [tex]\sqrt{8100}[/tex]
= 90
• Length of side of smaller square = [tex]\sqrt{16}[/tex]
= 4
Next we can just add the lengths of the sides to get the value of [tex]x[/tex] :
[tex]x = 90 + 4[/tex]
⇒ [tex]x \bf = 94[/tex]
A triangle is given by A ( 3,2 ) B (-1,5) and C (0,-1) . What is the equation of the line through B parallel to AC ( give ans and how it works pls )
Answer:
Step-by-step explanation:
Solution :
hello :
note :
Use the point-slope formula.
y - y_1 = m(x - x_1) when : x_1= -1 y_1= 5
m= the slope is : (YC - YA)/(XC -XA)
(-1-2)/(0-3) = -3/-3 =1
( parallel to AC means same slope)
an equation in the point-slope form is : y -5 = 1(x+1)
y=x+6