Answer:
A.(-2,4) and (11,-7) ...
I hope I'm correct
The solutions to this problem
Answer: x<-2 or -2>x<1 or x>1
(-infinity,-2) U (-2,1) U (1,infinity)
Step-by-step explanation:
find the area of the rectangle whose lengths 16cm and breadth is 8cm
Answer: Breadth? Did you mean width? If so, the answer is 128cm
Step-by-step explanation:
Area = Width x Length
8x16=128
I dont know how to prove the equation below...pls help prove it with clear steps, i have no clue how does sin^2x can go into 1+cosx
Answer:
Answer:
Foci: (±5, 0)
Vertex: ( ±4 , 0)
Eccentricity: e = 5/4
Step-by-step explanation:
Hyperbola:
Write the equation of hyperbola in the form,
\boxed{\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1}
a
2
x
2
−
b
2
y
2
=1
9x² - 16y² = 144
Divide the entire equation by 144,
\begin{gathered}\sf \dfrac{9x^2}{144}-\dfrac{16y^2}{144}=\dfrac{144}{144}\\\\\\ \dfrac{x^2}{16}-\dfrac{y^2}{9}=1\\\\\\\dfrac{x^2}{4^2}-\dfrac{y^2}{3^2}=1\end{gathered}
144
9x
2
−
144
16y
2
=
144
144
16
x
2
−
9
y
2
=1
4
2
x
2
−
3
2
y
2
=1
a = 4 and b =3
Eccentricity: e
\boxed{e=\sqrt{1+\dfrac{b^2}{a^2}}}
e=
1+
a
2
b
2
\begin{gathered}\sf = \sqrt{1+\dfrac{9}{16}}\\\\=\sqrt{\dfrac{16}{16}+\dfrac{9}{16}}\\\\=\sqrt{\dfrac{25}{16}}=\sqrt{\dfrac{5*5}{4*4}}\\\\\\=\dfrac{5}{4}\end{gathered}
=
1+
16
9
=
16
16
+
16
9
=
16
25
=
4∗4
5∗5
=
4
5
Foci:
(ae, 0) & (-ae , 0)
\begin{gathered}\sf \left(4*\dfrac{5}{4},0 \right) \ ; \ \left( -4*\dfrac{5}{4},0 \right)\\\\\\(5, 0) \ ; \ (-5,0)\end{gathered}
(4∗
4
5
,0) ; (−4∗
4
5
,0)
(5,0) ; (−5,0)
Vertex of hyperbola:
The vertex of the hyperbola is a point where the hyperbola cuts the axis. (-a , 0) ; (a , 0)
Vertex : (-4 , 0) ; (4 , 0)
What is the length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in?
The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the square of the length of the other two sides (a and b).
In this case, a = b = 9 in, so:
c2 = 92 + 92
c2 = 81 + 81
c2 = 162
c = √162
c = 12.73 in
The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in, calculated using the Pythagorean theorem.The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in.
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How do you graph a logarithmic curve?
Logarithmic Functions
In mathematics, the logarithmic function is an inverse function to exponentiation
Domain and range of logarithmic functions
We know that is defined only when >0. So the domain is the set of all positive real numbers. We can see that can be either a positive or negative real number (or) it can be zero as well. Thus, can take the value of any real number.
Note:
The domain of function = is >0 (or) (0,∞).
The range of any log function is the set of all real numbers ().
Logarithmic graph
We know that exponentials and functions are inversely proportional to each other, and so their graphs are symmetric concerning the line =. Also, note that =0 when =0 as =(1)=0 for any . Thus, all such functions have an -intercept of (1,0). A logarithmic function doesn’t have a -intercept as 0 is not defined.
Properties of logarithmic graph
>0 and ≠1.
The logarithmic graph increases when >1 and decreases when 0<<1.
The domain is obtained by setting the argument of the function greater than 0.
The range is the set of all real numbers.
Graphing logarithmic functions
Before plotting the log function, just have an idea of whether you get an increasing curve or decreasing curve as the answer. If the >1 then the curve is increasing, and if 0<<1, then the curve is decreasing.
Here are the steps for graphing logarithmic functions:
Find the domain and range.
Find the vertical asymptote by setting the argument equal to 0. Note that a function doesn’t have any horizontal asymptote.
Substitute some value that makes the argument equal to 1 and use the property (1)=0. This gives us the -intercept.
Substitute some value that makes the argument equal to the base and use the property ()=1 This would give us a point on the graph.
Connect the two points (from the last two steps) and extend the curve on both sides relative to the vertical asymptote.
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Simplify
5 x 52
leaving your answer in index form.
Answer:
2^2×5×13
Step-by-step explanation:
its simple using only prime numbers to divide the answer of 52×5
Answer:
5x∧52
Step-by-step explanation:
Find the volume of the composite solid. Round your answer to the nearest tenth.
The volume of the composite solid round to the nearest tenth is 83.7 inches³.
What is Volume?Volume of a three dimensional shape is the space occupied by the shape.
There are 2 hemispheres and a cylinder in the given composite solid.
Volume of hemisphere = [tex]\frac{2}{3}[/tex] π r³, where r is the radius.
Volume of the cylinder = π r² h, where r is the radius and h is the height.
Here r = 2 inches and
h = 8 - 4 = 4 inches
Volume of hemisphere = [tex]\frac{2}{3}[/tex] π × 2³
= [tex]\frac{16}{3}[/tex] π
There are two hemispheres.
Volume of two hemispheres = 2 × [tex]\frac{16}{3}[/tex] π = [tex]\frac{32}{3}[/tex] π
Volume of the cylinder = π r² h
= π × 2² × 4
= 16 π
Volume of the composite Solid = [tex]\frac{32}{3}[/tex] π + 16 π
= [tex]\frac{80}{3}[/tex] π
= 83.7 inches³
Hence the volume of the composite solid is 83.7 inches³.
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Greg teaches an art class. The table below shows how many drawings his students had
submitted by last Friday. Greg calculates the mean absolute deviation (MAD) of the data.
Then, one student submits 25 additional drawings. Greg cannot remember whether the
drawings are Amy's or Emily's, but he thinks the MAD will increase no matter who submitted
the drawings. Is Greg correct? Use the drop-down menus to explain your reasoning.
HURRY
Answer: The MAD of the data in the table is 10. If the additional drawings are Amy’s the MAD is the data set still decrease. If the are Emily’s, the MAD will increase. The MAD of the new data set does depend on whether it was Amy or Emily who turned in the additional drawings. So, Greg is incorrect.
Step-by-step explanation:
1. Which of these pairs of quantities are proportional to each other? For the quantities that are
proportional, what is the constant of proportionality?
a. Radius and diameter of a circle
b. Radius and circumference of a circle
c. Radius and area of a circle
d. Diameter and circumference of a circle
e. Diameter and area of a circle
a. Radius and diameter of a circle is proportional
b. Radius and circumference of a circle is proportional
c. Radius and area of a circle is not proportional
d. Diameter and circumference of a circle is proportional
e. Diameter and area of a circle is not proportional
Given that,
We have to find the pair of quantities are proportional to each other.
We know that,
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
We know
a. Radius and diameter of a circle is proportional because d=2r
b. Radius and circumference of a circle is proportional because C = 2πr
c. Radius and area of a circle is not proportional because A = πr² non linear relationship.
d. Diameter and circumference of a circle is proportional C = πd
e. Diameter and area of a circle is not proportional A = πd²
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A temperature C, in degrees Celsius, is the same as a temperature of
9
5
C+32, in degrees Fahrenheit. The hottest temperature ever recorded in Puerto Rico was 40 degrees Celsius.
What is that temperature in degrees Fahrenheit?
Write your answer as a whole number or decimal.
The temperature of the city of Puerto Rico in Fahrenheit will be 104 Fahrenheit.
What is conversion?Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
A temperature C, in degrees Celsius, is the same as a temperature of (9/5)C + 32, in degrees Fahrenheit.
The hottest temperature ever recorded in Puerto Rico was 40 degrees Celsius.
Convert the temperature from Celcius to Fahrenheit. Then we have
⇒ (9/5)C + 32
⇒ (9/5) x 40 + 32
⇒ 9 x 8 + 32
⇒ 72 + 32
⇒ 104 F
The temperature of the city of Puerto Rico in Fahrenheit will be 104 Fahrenheit.
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6th grade math please help because my grade went down.. and ion got time to be
punished
AND NO LINKS OR YOU WELL BE REPORTED :) have a good day my luvs <3
What should I do FIRST to solve this problem? 3x + 5 = 16
divide by 3 on each side
subtract 5 from each side
add 16 to each side
add 5 to each side
What should I do FIRST to solve this problem?
3x + 5 = 16
divide by 3 on each side
subtract 5 from each side
add 16 to each side
add 5 to each side
What should I do FIRST to solve this problem?
3x + 5 = 16
divide by 3 on each side
subtract 5 from each side
add 16 to each side
add 5 to each side
Answer:
first you subtract 5 from both sides
your left with 3x=11
divide by 3 on both sides
x=3.666 repeating
Step-by-step explanation:
tamara finds the sum of two number cubes rolled at the same time. the chart below shows all possible sums frim thr 36 possible combinations when rolling two number cubes. how many times should tamara expect the sum of the two subes to be equal to 4 if she rolls the two number cubes 252 times?
JRCXWD code for Qauthmath
Answer:
thank you, I guess
Step-by-step explanation:
What do you call two angles whose measures have a sum of 180?
Answer:
supplementary angles
Step-by-step explanation:
for instance, 50 + 130 = 180.
What is the slope of the line passing through the points
(-8, 5) and (7,0)?
Therefore, the slope of the line passing through the points (-8, 5) and (7,0) is -1/3.
The slope of the line passing through the points (-8, 5) and (7,0) can be found by using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.
To find the slope (m), we can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
So, using the coordinates (-8, 5) and (7,0), we have:
m = (0 - 5) / (7 - (-8)) = -5 / 15 = -1/3
Therefore, the slope of the line passing through the points (-8, 5) and (7,0) is -1/3.
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Easy points (Pythagorean theorem)
Answer:
61.03
Step-by-step explanation:
c=a2+b2=352+502≈61.03278
FIND THE VALUE OF EACH EXPONENTIAL NOTATION COLOR THE CORRECT ANSWER THROUGH NAVIGATING THE EXPONENT MAZE. (PA HELP NAMAN GUYS)
The complete maze pattern is shown below.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.An exponent refers to the number of times a number is multiplied by itself.Given is an exponent maze.
We can complete the maze as -
START HERE →→ 3³ → → 9 →→ 1³ →→ 1 →→ 9² →→ 81 →→ 4³ →→ 64 →→ 2⁵ →→ 32 →→ 11² →→ 121 →→ 8² →→ 64 →→ 15³ →→ 3375 →→ 13² →→ 169 →→ 2⁴ →→ 16 →→ 10² →→ 100 →→ 2³ →→ 8 →→ 6⁴ →→ 1296 →→ 12² →→ 144 →→ 3³ →→ 27 →→ YOU MADE IT.
Therefore, the complete maze pattern is shown above.
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The length of the longest recorded jump made on a skateboard measured 672 inches. Use a conversion factor to
find the length of this jump in feet. (1 foot=12 inches)
Please I need my answer fast ❤️❤️❤️❤️
Step-by-step explanation:
plz mark as brainlist////
Draw a quadrilateral aBCD whose vertices are A (0,0) B(5,0), C(3,2) and D (0,2)
A graph of quadrilateral ABCD whose vertices are A (0, 0) B(5, 0), C(3, 2) and D (0, 2) is shown in the image attached below.
What are the types of quadrilateral?In Geometry, there are different types of quadrilateral and these include the following:
ParallelogramSquaresRectangleRhombusTrapeziumNext, we would use an online graphing calculator to construct (plot) quadrilateral ABCD on a cartesian coordinate based on the given vertices. Also, you should enter the value for each vertices of quadrilateral ABCD on the x-coordinate and y-coordinate respectively as shown in the table.
By critically observing the graph of quadrilateral ABCD, we can reasonably infer and logically deduce that it represents a trapezium.
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If you know how to do box and whisker plot pls answer this because I forgot how to do it
Answer:
A box and whisker plot is a way of summarizing a set of data measured on an interval scale. It is often used in explanatory data analysis. ... In a box and whisker plot: the ends of the box are the upper and lower quartiles, so the box spans the interquartile range. the median is marked by a vertical line inside the box.
Step One: The first step to creating a box and whisker plot is to arrange the values in the data set from least to greatest.
Step Two: Identify the upper and lower extremes (the highest and lowest values in the data set).
The lower extreme is the smallest value, Which in this case is 31
The upper extreme is the highest value which is62
Step Three: Identify the median, or middle, of the data set.
Which is 50 in this case
Step Four: Identify the upper and lower quartiles.
To find the lower quartile and the upper quartile, start by splitting the data set at the median into lower and upper regions.
The upper quartile is the median of the upper region and the lower quartile is the median of the lower region.
Step-by-step explanation:
Also, your answer is C.
Pls help I need this quick
Answer:
9.x=34
10.142
11.118
12.72
Step-by-step explanation:
9.180-146
10.because they are on the same side of the line but also opposite of each other
11.180-62
12.because if you pick up one side and put is on the other side the numbers will be the same.
What is 2 step used for?
The two step equations are used to represent the equations and solve real life problems .
What is Two Step Equations ?
The Equations that can be solved in exactly two steps are called as Two Step Equations .
We can use the two-step equations to represent and solve real-world problems by translating the problem into an algebraic equation, and solving equation, and then interpreting the solution of equation.
An example of the two step equation is : If a rental car costs $40 plus extra 10 cents for every mile driven, then how many miles can be driven for $50 ?
Translating The problem into equation we get [tex]40 + 0.1m = 50[/tex] where m is number of miles driven.
Step(i) we Subtract 20 from both sides
we get , [tex]0.1m = 10[/tex].
Step(ii) We Divide both sides by 0.1 ;
we get , [tex]m = 100[/tex].
Therefore , the problem to find the number of miles is solved in exactly two steps .
The given question is incomplete , the complete question is
What is the two step equation used for ?
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(Help within 5 minutes)
A small town surveyed 250 adults, 180 of whom were parents, about whether a park should be expanded. The results showed that 150 of the adults who were parents and 40 of the adults who were not parents thought the park should be expanded.
Use this information to complete the two-way table.
Enter your answer by filling in the boxes to complete the table.
Should the park be expanded?
Yes No
Parents
Not parents
The park should be expanded based on the information as the majority want the expansion.
How to illustrate the information?From the information, on the small town surveyed 250 adults, 180 of whom were parents, about whether a park should be expanded.
Also, the results showed that 150 of the adults who were parents and 40 of the adults who were not parents thought the park should be expanded.
Based on the above the number of people that wants the expansion will be:
= (150 + 40) / 250 × 100
= 190 / 250 × 100
= 76%
It should be expanded.
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someone help me with this PLEASE FOR ALG 2 exponential functions
Answer:
a) exponential decay
b) $1000
c)not sure
Step-by-step explanation:
a) depreciates means disapprovel so its going down
b) 20000×0.05=1000
What is the degree of the polynomial 2x² 3xy 5y² 2?
The degree of the given polynomial is 2 because the highest exponent is 2 present in terms 2x^2 or 5y^2.
First, try to understand what is polynomial.
Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables. x^2+ 3x - 5 is an illustration of a polynomial with a single variable. There are three terms in this example: x^2, 3x, and -5.
The word "polynomial" is derived from the Greek words "poly" and "nominal," which combined translate to "many phrases."
Now let's talk about the degree of the polynomial.
The highest exponent of a monomial contained within a polynomial is referred to as the polynomial's degree. As a result, a polynomial equation with one variable having the biggest exponent is referred to as a polynomial degree.
The terms of a given polynomial is 2x^2, 3xy, 5y^2, and 2 Highest exponent is 2 in 2x^2 or 5y^2.
So the degree of the polynomial is 2.
The given Question is an incomplete complete question here.
[tex]2x^2 + 3xy + 5y^2 +2[/tex].
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A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function C(x)=0.1x²-22x+11,599. How many machines must be made to
minimize the unit cost?
Do not round your answer.
The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .
What is Quadratic Equation?
Quadratic equation can be defined as the equation which is in the form of ax^2 +bx +x = 0.
where a,b,c are constants.
Given ,
The standard form of a quadratic is given by:
ax^2 + bx + c
So for our function, we can say,
a = 0.1
b = -22
c = 11599
We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a
So,
= -(-22) / 2*0.1
=22/0.2
= 110
Plugging this value into original function would give us the minimum (unit cost):
C(x) = 0.1 x ^2 - 22x +11599
C(x) = 0.1(110*110) - 22(110)+11599
C(x) = 110(11-22) + 11,599
C(x) = -11(110) + 11599
C(x) = -1210 + 11599
C(x) = 10,389
Hence , The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .
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Solve for x in this triangle. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
7
.A car is traveling on a small highway and is either going 55 miles per hour or 35 miles per hour, depending on the speed limits, until it reaches its destination 200 miles away. Letting x represent the amount of time in hours that the car is going 55 miles per hour, and y being the time in hours that the car is going 35 miles per hour, an equation describing the relationship is: 55x+35y=200
A: If the car spends 2.5 hours going 35 miles per hour on the trip, how long does it spend going 55 miles per hour?
B: If the car spends 3 hours going 55 miles per hour on the trip, how long does it spend going 35 miles per hour?
C: If the car spends no time going 35 miles per hour, how long would the trip take? Explain your reasoning.
Answer:
This equation can be used to determine how long the car was traveling at each speed. You can solve for one of the variables by using algebraic techniques. For example, you could subtract 35y from both sides to get:
55x = 200 - 35y
Then divide both sides by 55 to get:
x = (200 - 35y)/55
This equation shows that the value of x (the time spent traveling at 55 mph) is determined by the value of y (the time spent traveling at 35 mph). If you know the value of y, you can use this equation to calculate the value of x.
To find the values of x and y that satisfy the equation, you will need to use additional information. For example, you could set up a system of equations and solve for x and y using techniques such as substitution or elimination.
Step-by-step explanation:
help!! I will give brainlist...
Answer:
I think it should be x-360
Step-by-step explanation:
general angle is counter clock wise and and reference angle is clockwise!
ONLY FOR 4th QUADRANT
Determine the total SA of this cone having radius 7 inches and a slant height 11 inches.
a) 259.7 in^2
b) 395.8 in^2
c) 153.9 in^2
d) 241.9 in^2