The stem and leaf for the data values is
51 | 6
55 | 7
64 | 8
70 | 2
72 | 9
73 | 2
75 | 0 4
78 | 4
79 | 8
80 | 4 4 9
How to draw a stem and leaf for the data valuesFrom the question, we have the following parameters that can be used in our computation:
Data values:
75.4 80.9 75 73.2 78.4 70.2 51.6 79.8 80.4 72.9 80.4 64.8 55.7
Sort in order of tens
So, we have
51.6
55.7
64.8
70.2
72.9
73.2
75 75.4
78.4
79.8
80.4 80.4 80.9
Next, we draw the stem and leaf as follows:
a | b
Where
a = stem
b = left
number = a.b
Using the above as a guide, we have the following:
51 | 6
55 | 7
64 | 8
70 | 2
72 | 9
73 | 2
75 | 0 4
78 | 4
79 | 8
80 | 4 4 9
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A teacher earns $28,500 per year. If 18% of her income is withheld for taxes, how
much money is withheld for taxes? How much of her income is left after taxes?
Answer:
23,370
Step-by-step explanation:
Because 18% of 28,500 is 5130 and 28500-5130=23370
what is the perimeter of an oval
Answer:
To find the perimeter (or arc length) of an ellipse, you'll need to use an elliptic integral
The perimeter is a distance around the outlines or edge of any shape. A practical example of measuring the perimeter of an ellipse would be the distance you cover when you walk along the edges of an elliptical-shaped field. Or the length of fence you need to surround it
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answer:
right triangle :)
Step-by-step explanation:
its at a 90 degree angle, which means its right.
Answer:
It is a right angle
Step-by-step explanation:
if you see the square at corner then you know it is a right angle and that it is 90 degrees
1+2-3x5+10x2=
this is just for 3rd 4rd graders
What is the value of x in the equation: 3x – 5x + 10 = 36
Answer:
-13
Step-by-step explanation:
3x-5x+10=35
-2x+10=36
-2x=36-10
-2x\-2=26\-2
x=-13
example of two nonlinear functions that dont dominate each other
An example of two nonlinear functions that don't dominate each other is the sin function (f(x) = sin(x)) and the exponential function (g(x) = e^x).
For any given value of x, the sin function oscillates between -1 and 1, taking on both positive and negative values. It has a periodic nature and does not grow or decay exponentially as x increases or decreases.
On the other hand, the exponential function grows or decays exponentially as x increases or decreases. It is characterized by a constant positive growth rate. The exponential function increases rapidly when x is positive and approaches zero as x approaches negative infinity.
The key characteristic here is that the sine function oscillates while the exponential function grows or decays exponentially.
Due to their fundamentally different natures, neither function dominates the other over their entire domains.
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A rectangle has area of 169 square units and a width of 13. Find it's length
Answer:
13
Step-by-step explanation:
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How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 95% antifreeze?
To obtain a 95% antifreeze solution,
(Simplify your answer.)
***
gallon(s) of water should be added.
4
Therefore, we need to add approximately 0.0526 gallons of water (which is equivalent to about 6.63 fluid ounces) to 1 gallon of pure antifreeze to obtain a solution that is 95% antifreeze.
What is equation?In mathematics, an equation is a statement that asserts the equality of two expressions. An equation typically consists of one or more variables, coefficients, and constants, and it can include mathematical operations such as addition, subtraction, multiplication, and division. The expressions on both sides of the equation are separated by an equal sign, indicating that they have the same value. The goal of solving an equation is to determine the value of the variables that make the equation true. Equations are used in many areas of mathematics and science to model real-world phenomena and solve problems.
Here,
Let's assume that we need to add x gallons of water to 1 gallon of pure antifreeze to obtain a solution that is 95% antifreeze. We know that the final solution will contain 1 gallon of antifreeze, and that this will be 95% of the total solution (the remaining 5% will be water). So, we can write:
1 gallon of antifreeze = 95% of (1 gallon of antifreeze + x gallons of water)
We can simplify this equation by converting 95% to a decimal:
0.95 × (1 gallon of antifreeze + x gallons of water) = 1 gallon of antifreeze
Now we can solve for x by isolating it on one side of the equation. First, let's distribute the 0.95:
0.95 gallons of antifreeze + 0.95x gallons of water = 1 gallon of antifreeze
Next, let's isolate x by subtracting 0.95 gallons of antifreeze from both sides:
0.95x gallons of water = 0.05 gallons of antifreeze
Finally, we can solve for x by dividing both sides by 0.95:
x = 0.05 gallons of antifreeze ÷ 0.95
x ≈ 0.0526 gallons of water
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How many solutions?
2(3x-4)-6x=-4
Infinite
None
two
One
could you tell me how you got it?
Answer:
The number of solutions of an equation is dependent upon the total number of variables contained in it. Thus, the system of the equation has two or more equations containing two or more variables. It can be any combination such as 1. 2 equations in 3 variables 2. 6 equations in 4 variables, and so on Depending on the number of equations and variables, there are three types of solutions to an equation. They are 1. Unique Solution (One solution) 2. No solution 3. Infinite Solutions (Many solutions) The term “infinite” represents limitless or unboundedness. It is denoted by the letter ” ∞ “
Step-by-step explanation:
Hope it Helps?
Answer: no solution or none
Step-by-step explanation: this is really simple..
1. *DISTRIBUTE THE 2 with the numbers in parantesis* so it’s 6x-8
2. now the equation is 6x-8-6x= -4 (we see a positive and a negative 6 they both cancel each other out)
3. now it’s -8=-4 now add 8 to both sides that will make
0= -4 therefor there is no solution
Evaluate the expression y-3+2 when x = 6 and y=8
Answer:
7
Step-by-step explanation:
Hey there!
In order to answer this question you need to substitute the "y-value"
As you can see, y=8 and we need to put 8 where there is y
8-3+2 is what the equation will look like
Now we can simplify
8-3 is 5 and 5+2 is 7
So your answer is 7
find the designated angels in each diagram
The values of all 3 angles are:
x = 95°y = 65°z = 115°What are angles?An angle is a figure in Euclidean geometry made up of two rays that share a common endpoint and are referred to as the angle's sides and vertex, respectively. Angles created by two rays are in the plane where the rays are located. Based on the measurement, there are different kinds of angles in geometry. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation.So, we know that ∠AOB is s straight angle (180°).
Then,
x - 30 + x + 20 = 1802x - 10 = 1802x = 180+ 102x = 190x = 95°Now, solve for straight angle ∠DOC with x = 95°:
z + x - 30 = 180z + 95 - 30 = 180z + 65 = 180z = 180 - 65z = 115°Similarly, solve for straight angle ∠AOB with z = 115°:
z + y = 180115 + y = 180y = 180 - 115y = 65°Therefore, the values of all 3 angles are:
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HELP PLS QUICK
(03.03 LC)
Look at points C and D on the graph:
What is the distance (in units) between points C and D? Round your answer to the
nearest hundredth. (5 points)
Answer:
\(\displaystyle d \approx 7.07\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian planeCoordinates (x, y)Algebra II
Distance Formula: \(\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Point C (-2, 0)
Point D (3, 5)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: \(\displaystyle d = \sqrt{(3+2)^2+(5-0)^2}\)[√Radical] (Parenthesis) Add/Subtract: \(\displaystyle d = \sqrt{(5)^2+(5)^2}\)[√Radical] Evaluate exponents: \(\displaystyle d = \sqrt{25+25}\)[√Radical] Add: \(\displaystyle d = \sqrt{50}\)[√Radical] Simplify: \(\displaystyle d = 5\sqrt{2}\)[√Radical] Evaluate: \(\displaystyle d = 7.07107\)Round: \(\displaystyle d \approx 7.07\)Tomas wanted to buy a computer priced at $950. He waited for the store's annual clearnace sale and bought the computer for $712.50. What percent was the discount at the clearnace sale?
Answer:
25%
Step-by-step explanation:
Discount is given by x(1-r) = y, where x is the original price and r is the percentage (made into a decimal) that was discounted, while y is the price after the discount.
So, plugging the numbers given in, we have 950(1-r) = 712.50, as we don't know r. This is hard to find, so we replace (1-r) with m (just a random letter).
Therefore, we have 950m = 712.50. To find m, we divide 712.50 by 950, getting m = 0.75.
That is not our answer. Earlier, we subsituted (1-r) for m. Now, we subsitutite it back. m = 0.75 so 1-r = 0.75. Therefore, we get that r, the discount rate, is equal to 0.25, or 25%.
What is 6+6+2
need to actually ask something to give away points or the bots will report lol
Answer:
14
Step-by-step explanation:
because 6+6 is 12 and add 2 is 14
The purchased cost of a 5-m3 stainless steel tank in 1995 was $10,900. The 2-m-diameter tank is cylindrical with a flat top and bottom. If the entire outer surface of the tank is to be covered with 0.05-m-thickness of magnesia block, estimate the current total cost for the installed and insulated tank. The 1995 cost for the 0.05-m-thick magnesia block was $40 per square meter while the labor for installing the insulation was $95 per square meter.
The estimated current total cost for the installed and insulated tank is $12,065.73.
The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:
surface_area = 2 * pi * r * h + 2 * pi * r^2
where:
r is the radius of the cylinder
h is the height of the cylinder
In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:
surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586
The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:
surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293
The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:
cost = 6.806032934459293 * (40 + 95) = $1,165.73
The original cost of the tank was $10,900, so the total cost of the insulated tank is:
cost = 10900 + 1165.73 = $12,065.73
Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.
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Which equation is correct?
O 3.3 = 32 = 9
4. 4 = 2(4) = 8
7.7 = 2(7) = 49
O 14 - 14 = 142 = 28
Answer:
3.3 = \(3^{2}\) = 9
Step-by-step explanation:
WRITE Why are all rectangles parallelograms, but all parallelograms are not rectangles? Explain.
Answer:
because they are not equal in size
the waiting time at an elevator is uniformly distributed between 30 and 180 seconds. what is the probability a rider will wait for not more than 1 minute? group of answer choices 0.1765 0.75 0.2 0.40
By using probability density function, the probability that a rider will wait for not more than 1 minute is 0.2
A probability density function, also known as the density of a continuous random variable in probability theory, is a function whose value at any given sample in the sample space can be interpreted as providing a relative likelihood that the random variable's value will be close to that sample.
Given,
The waiting time of elevator is uniformly distributed between 30 and 180 seconds.
We need to determine the probability that a rider will wait for not more than 1 minute i.e. 60 seconds.
For the given data, the probability density function(p.d.f) can be written as ,
\(f(x)=\left \{ {{\frac{1}{b-a},\ a < x < b} \atop {0,\ otherwise} \right. \\\\f(x)=\left \{ {{\frac{1}{180-30},\ 30 < x < 180} \atop {0,\ otherwise} \right\\\\f(x)=\left \{ {{\frac{1}{150},\ 30 < x < 180} \atop {0,\ otherwise} \right\)
So, the probability that rider will wait for not more than 60 seconds is
\(p(x < 60)=\int\limits^{60}_{0} f(x)dx\\\\p(x < 60)=\int\limits^{60}_{30}\frac{1}{150}dx\\\\p(x < 60)=\frac{1}{150}[x]\limits^{60}_{30}\\\\p(x < 60)=\frac{60-30}{150}\\\\p(x < 60)=\frac{30}{150}\\\\p(x < 60)=0.2\)
Hence, the probability is 0.2
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Helpppppp 50 pointssss
The numbers a, b, and c are positive and a
equals 3.2bc If b is increased by 150% and c
is decreased by 60%, then a is
A) increased by 90%
B) increased by 10%
C) unchanged
D) decreased by 10%
Answer:
A
Step-by-step explanation:
Answer:
b i think hsjshdidhdidjd
Please solve this answer, ill literally get discord nitro if i do it
Answer:
(-3,4)
Step-by-step explanation:
270 degrees counterclockwise about the origin our point (x,y) becomes (y,-x)
F is at (-4,-3) so the new point F' is at (-3, - -4) or (-3,4)
HELP HELP HELP AND ILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
(1/2)(12 ÷ 3) + 3/5 = (1/2)4 + 3/5 = 2 + 3/5 = 10/5 + 3/5 = 13/5
Which of the following is completely factored?O 5x2 (2xy + 12x2)O 3.r(522 - 6x + 3)O r(14.ry + 5.0 - 10x2)
ANSWER
\(3x(5x^2-6x+3)\)EXPLANATION
We want to identify the option that is completely factored.
For an expression to be completely factored, it means that there are no more common terms between the terms in the expression.
That means it can not be factored any further.
Therefore, the only correct option is:
\(3x(5x^2-6x+3)\)write an equation that has the solution of X equals Y
Answer:
Step-by-step explanation:
The system of equations x + y = 1 and x – y = 2 has the unique solution x = 1 and y = –1.
There are infinite pairs of system of equations which have the unique solution x = 1 and y = –1.
Hope this information will clear your doubts about the topic.
Which system is represented in the graph?
y < x2 – 2x + 4
y < x2 + 4
y ≥ x2 – 2x + 4
y < –x2 + 4
y ≥ x2 – 2x + 4
y ≤ –x2 + 4
y > x2 – 2x + 4
y ≤ x2 + 4
The system that is represented by the graph is inequality 3
What is system of inequalities?
A group of two or more inequalities in one or more variables is referred to as a system of inequalities. When a problem requires a variety of solutions and those solutions must satisfy multiple constraints, systems of inequalities are used.
We are given the graph of inequalities and given 4 choices out which 1 is the correction representation of the inequalities given in the graph
Now As you can see one the parabolas open downwards that means the term x^2 is negative in that case where as the other parabola opens upwards hence the term x^2 is positive.
So second and third options are the options which satisfies this criteria
if we put x = 0 in the second equation of both the inequalities we get y= 4
This criteria is satisfied by only inequality 3 hence the correct system of inequality is inequality 3
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Answer:y ≥ x2 – 2x + 4
y < –x2 + 4
Step-by-step explanation:
Jane set up a lemonade stand to sell lemonade. The total cost of making the lemonade was $1.50. She sold each cup of lemonade for $0.25. Enter an equation that can be used to find the number of cups of lemonade, x, Jane sold if her earnings were $9.75 after paying out the cost of the lemonade x=
Please help 60 points for a rapid answer-In the figure below which of the following is true in circle E?
Answer:
all 3 options are true : A, B, C
Step-by-step explanation:
warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.
they say that A and C are correct.
but I am going to show you that if A and C are correct, then also B must be correct.
therefore, my given answer above is the actual correct answer (no matter what the test systems say).
originally the information about the alignment of the point F in relation to point E was missing.
therefore, I considered both options :
1. F is on the same vertical line as E.
2. F is not on the same vertical line as E.
because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :
the vertical line of EF is like a mirror between the left and the right half of the picture.
A is mirrored across the vertical line resulting in B. and vice versa.
the same for C and D.
this leads to the effect that all 3 given congruence relationships are true.
if we consider assumption 2, none of the 3 answer options could be true.
but if the assumptions are true, then all 3 options have to be true.
now, for the "why" :
remember what congruence means :
both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.
for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.
so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.
therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.
but do you notice something ?
both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.
now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.
therefore, AC must be equal to BD.
and that means that AC is congruent to BD.
because lines have no other congruent criteria - only the lengths must be identical.
Where in the hierarchy does should “Circles” go?
Answer:
Answer with explanation:
→ A circle is a plane figure. It does not have straight sides,so it is not a polygon.
We can say that Circle is a Simple Closed Figure.
In other way, a Circle is a locus of all the points Such that Distance from a fixed point ,called Center is Same.And When you join all these points ,which is infinite in number you , will get a 2 -D Shape called Circle.
In real life, Bangle, Rotation of 3-4 Blade Ceiling Fan forms a Circular Shape.
→→Circle= Simple Closed Figure.
Step-by-step explanation:
Solve the equation. (Enter your answers as a comma-separated list. Use n as an arbitrary integer. Enter your response in radians. )
csc2(x) + 6 csc(x) − 7 = 0
The solutions to the equation \(csc2(x) + 6 csc(x) − 7 = 0 are x = π/2, (2n+1)π/2, (2n+1)π + arcsec(-6)\) and \((2n+1)π - arcsec(-6).\)
The equation \(csc2(x) + 6 csc(x) − 7 = 0\) can be rewritten as \(csc(x)(csc(x) + 6) − 7 = 0\). Factorizing the equation we have
Now, solving for csc(x) = 0, we have csc(x) = 0. This implies that x = π/2 or (2n+1)π/2, where n is an arbitrary integer.
Similarly, solving for\(csc(x) + 6 = 0\), we have csc(x) = -6. This implies that \(x = (2n+1)π + arcsec(-6) or (2n+1)π - arcsec(-6)\), where n is an arbitrary integer.
Therefore, the solutions to the equation\(csc2(x) + 6 csc(x) − 7 = 0 are x = π/2, (2n+1)π/2, (2n+1)π + arcsec(-6) and (2n+1)π - arcsec(-6).\)
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Darin has 3 pairs of tennis shoes, 4 pairs of pants, 6 shirts, 2 belts, and 3
hats. Darin makes an outfit by choosing one of each type of item. How
many unique outfits can Darin make?
A). 18
B). 42
C). 144
D). 432
3 of 8
Write in index form
xxy xxxx