Answer:
-6
Step-by-step explanation:
euler paths must touch?
Answer:
huh
Step-by-step explanation:
What is the area of a circle with a diameter of 37 inches?
in²
(Use 3.14 for Pi.)
Answer:
1073.45 in²
Step-by-step explanation:
What is the area?The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.
What is the diameter?Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.
The equation to solve for the area of a circle is:
π × \(r^{2}\) = Area of a circleBut wait, we don't have a radius to fix in the equation! Well to solve for the radius when given diameter, we can use the expression:
diameter ÷ 2 = radiusNow that we know this, we can insert 37 in for the diameter:
37 ÷ 2 = 18.5So, the radius of the circle is 18.5 inches.
Inserting 18.5 into the expression for the radius:
π × \(18.5^{2}\) =Using 3.14 for pi:
3.14 × \(18.5^{2}\) = 1073.45 in²Therefore, the area of a circle with a diameter of 37 inches is 1073.45 in².
I really need help and there also is a part c and d
Part A: The probability of rolling a 5 is 1/6 or approximately 0.167. Part B: the probability of rolling an even number is 3/6 or 1/2 or 0.5.
Describe probability ?Probability is a branch of mathematics concerned with measuring the likelihood or chance of an event occurring. It is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes. Probability is expressed as a number between 0 and 1, where 0 means that the event will not occur and 1 means that the event will definitely occur. For example, if the probability of an event is 0.5, it means that the event has an equal chance of occurring or not occurring. Probability is used in various fields, such as science, engineering, finance, and statistics, to make predictions and make decisions based on uncertain events.
Part A:
The number cube has six faces, and each face has an equal chance of landing face-up. Therefore, the probability of rolling a 5 is 1/6 or approximately 0.167.
Part B:
The even numbers on a number cube are 2, 4, and 6. There are three even numbers out of a total of six possible outcomes. Therefore, the probability of rolling an even number is 3/6 or 1/2 or 0.5.
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Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y
The solution to the system of equations is x = 1 and y = -3.
To solve the system of equations using the substitution or elimination method, let's start with the substitution method.
Given equations:
y = 4x - 7
4x + 2y = -2
We'll solve equation 1) for y and substitute it into equation 2):
Substituting y from equation 1) into equation 2):
4x + 2(4x - 7) = -2
4x + 8x - 14 = -2
12x - 14 = -2
Now, we'll solve this equation for x:
12x = -2 + 14
12x = 12
x = 12/12
x = 1
Now that we have the value of x, we can substitute it back into equation 1) to find y:
y = 4(1) - 7
y = 4 - 7
y = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
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You want to take out a $219,000 mortgage (home loan). The interest rate on the loan is 4.5%, and the loan is for 30 years. Your monthly payments are $1,109.64. How much will still be owed after making payments for 15 years? Round your answer to the nearest dollar.
After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.
To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:
Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)
where:
P = the initial loan amount (in this case, $219,000)
r = the monthly interest rate (which is the annual interest rate divided by 12)
n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)
b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)
First, we need to calculate the monthly interest rate:
r = 4.5% / 12 = 0.00375 = 0.375%
Next, we can plug in the values to get:
Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)
= $145052.36
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-22 + (-10) + 15 I don’t know how to solve this problem
The answer is - 17
here, we have to apply BODMAS rule
given ,- 22 + (10) = 15
= - 22 - 10 + 15
= -32 + 15
= - 17
BODMAS is an acronym for the sequence of operations to be performed while simplifying the mathematical expressions.
B=Brackets
O=Off
D=Division
M=Multiplication
A=Addition
S=Subtraction
Achilles is a mathematician who invented BODMAS. It is a mnemonic that helps us remember how to evaluate mathematical operators in a mathematical statement involving more than one mathematical operation.The four basic Mathematical rules are addition, subtraction, multiplication, and division.
Basic math skills are those that involve making calculations of amounts, sizes or other measurements. Core concepts like addition, subtraction, multiplication and division provide a foundation for learning and using more advanced math concepts.
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In the diagram, WZ=StartRoot 26 EndRoot.
On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (negative 2, 4), point X is at (2, 4), point Y is at (1, negative 1), and point Z is at (negative 3, negative 1).
What is the perimeter of parallelogram WXYZ?
units
units
units
units
Answer:
\(P = 8 + 2\sqrt{26}\)
Step-by-step explanation:
Given
\(W = (-2, 4)\)
\(X = (2, 4)\)
\(Y = (1, -1)\)
\(Z = (-3,-1)\)
Required
The perimeter
First, calculate the distance between each point using:
\(d = \sqrt{(x_1 - x_2)^2 + (y_1 -y_2)^2\)
So, we have:
\(WX = \sqrt{(-2- 2)^2 + (4-4)^2 } =4\)
\(XY = \sqrt{(2- 1)^2 + (4--1)^2 } =\sqrt{26}\)
\(YZ = \sqrt{(1- -3)^2 + (-1--1)^2 } =4\)
\(ZW = \sqrt{(-3--2)^2 + (-1-4)^2 } =\sqrt{26}\)
So, the perimeter (P) is:
\(P = 4 + \sqrt{26} + 4 + \sqrt{26}\)
\(P = 8 + 2\sqrt{26}\)
The perimeter of parallelogram WXYZ is 8 + 2√26 units
Perimeter of parallelogramIn order to determine the required perimeter of the parallelogram, we will use the distance formula as shown:
D= √(x2-x1)²+(y2-y1)²
Given the coordinate of the parallelogram shown as:
W(-2, 4)
X (2, 4)
Y(1, -1)
Z(-3, -1).
Since it is a parallelogram, the opposite sides are equal that is:
WX = YZ and XY = WZ
WX = YZ = √(x2-x1)²+(y2-y1)²
WX = YZ = √(2+2)²+(4-4)²
WX = YZ =√(4)²
WX = YZ = 4 units
Similarly
XY = WZ = √(2-1)²+(4+1)²
XY = WZ = √(1)²+(5)²
XY = WZ = √26
Perimeter = 2(4)+ 2(√26)
Perimeter = 8 + 2√26
Hence the perimeter of parallelogram WXYZ is 8 + 2√26 units
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The percent of Ivy Tech students receiving financial aid in 2018 was 82%, this was a 9.8% relative increase from 2017. What would the percent of students receiving aid in 2017 have been?
The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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Calculate the mean and the standard deviation of the sampling distribution of possible sample proportions for each combination of sample size (n) and population proportion (p).
Here is the full question.
Calculate the mean and the standard deviation of the sampling distribution of possible sample proportions for each combination of sample size (n) and population proportion (p).
a.) n = 64, p = 0.8
b.) n = 256, p = 0.8
Answer:
a.) Mean = 0.8
Standard deviation = 0.05
b.) Mean = 0.8
Standard deviation = 0.025
Step-by-step explanation:
From the given information:
a.)
The population parameter (p) is the mean of the sampling distribution for the sample proportion.
Thus; The Mean = 0.8
The standard deviation of the distribution can be calculated as follows:
Let's first represent the standard deviation with Sd(\(\hat p\))
Then:
\(sd(\hat p) = \sqrt{\dfrac{p*(1-p)}{n} }\)
where;
p = 0.8
n = 64
Then:
\(sd(\hat p) = \sqrt{\dfrac{0.8*(1-0.8)}{64} }\)
\(sd(\hat p) = \sqrt{\dfrac{0.8*(0.2)}{64} }\)
\(sd(\hat p) = \sqrt{\dfrac{0.16}{64} }\)
\(sd(\hat p) = \sqrt{0.0025}\)
\(\mathbf{sd(\hat p) =0.05}\)
b.)
The population parameter (p) is the mean of the sampling distribution for the sample proportion.
Thus; The Mean = 0.8
The standard deviation of the distribution can be calculated as follows:
Let's first represent the standard deviation with Sd(\(\hat p\))
Then:
\(sd(\hat p) = \sqrt{\dfrac{p*(1-p)}{n} }\)
where;
p = 0.8
n = 256
Then:
\(sd(\hat p) = \sqrt{\dfrac{0.8*(1-0.8)}{256} }\)
\(sd(\hat p) = \sqrt{\dfrac{0.8*(0.2)}{256} }\)
\(sd(\hat p) = \sqrt{\dfrac{0.16}{256} }\)
\(sd(\hat p) = \sqrt{6.25 \times 10^{-4}}\)
\(\mathbf{sd(\hat p) =0.025}\)
The vet says that raise puppy will grow to be at most 28 inches tall raise. Puppy is currently 1 foot tall how much more will the puppy grow?
Write an inequality to solve the problem
Answer:
16 inches
Step-by-step explanation:
28 - 12 = 16 inches
1 foot = 12 inches
3x + 1? test your math skillz!!
Answer:
(Slope of 3x+1)
Slope of 3x+1: m=3
-------------------------------------------------------------------------------------------------------------
(domain of 3x+1)
domain of 3x+1: \(-\infty \: < x < \infty\)
-------------------------------------------------------------------------------------------------------------
(intercepts of 3x+1)
intercept of 3x+1: \(\mathrm{X\:Intercepts}:\:\left(-\frac{1}{3},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:1\right)\)
-------------------------------------------------------------------------------------------------------------
(range of 3x+1)
range of 3x+1: \(-\infty \: < f\left(x\right) < \infty\)
Identify the like terms in the following expression:
15m + 2n – 4m + n +12m
Answer:
23m+3n
Step-by-step explanation:
The measure of an angle is 74.4°. What is the measure of its complementary angle?
Answer:
15.6
Step-by-step explanation:
complementary angles sum up to 90
90-74.4=15.6
therefore the measure of it's complementary angle is 15.6
Barney has to run some errands around town. Look at the map below to calculate his distance if he starts at home, goes to the video store, then the grocery store, grabs a fast snack, and ends at home. How many units did he walk? (Please walk me through the question! With words please so i understand, i don't speak math)
14 units
21 units
28 units
35 units
Answer:
28
Step-by-step explanation:
In this question, the units are just the number of boxes/grid-squares. So count how many boxes they have to walk between each step. You start at the top left location, and go around to all of them counting the boxes they pass.
they should all add up to 28 boxes, or 28 units!
In the 2019 NBA Eastern Conference semi‐finals, Philadelphia 76ers (PHI) played the (eventual 2019 NBA Champion) Toronto Raptors (TOR) in a best‐of‐7 series where the first team to win 4 games wins the series. Assume that the outcome of each game is independent. (a) Assuming that either team has a win probability of 0.5, what is the probability that after the first 4 games, the teams would be tied 2‐2? Clearly show all your steps.
Answer: 0.375
Step-by-step explanation:
Given the following :
Both teams have an equal probability of winning = 0.5
Find the probability that both teams are tied after 4 games, that is 2-2 ( this means each team has exactly 2 successes and 2 losses).
This problem can be modeled using a binomial probability :
P(x) = nCx * p^x * (1-p)^(n-x)
x = number of successes = 2
P = probability of success = 0.5
(1-p) = probability of failure = 0.5
n = number of trials = 4
P(x = 2 ) = 4C2 * 0.5² * 0.5^(4-2)
P(x = 2) = 6 * 0.5² * 0.5²
P(x = 2) = 6 * 0.25 * 0.25
P(x = 2) = 0.375
What is the limit of [(x+2) /(x+1)] ^x as x approaches to infinity?
first thing we need to do is factorise because we can't calculate infinity/infinity
and we are left with 1^infinity this is an euler function
an euler function looks like this
draw a line (-4,-3) with a slope of 1/3
Answer:
y=1/3x-3
Step-by-step explanation:
I can't draw the line, but I can turn this into slope-intercept for it to be easier to graph! The equation would look like this:
y=1/3x-3
Hope this helps!! Have a great day! ^^
lukes house is located at the point shown on the coordinate grid. kyles house is located 4 units left and 2 units up from lukes house plot a point on the coordinate grid to represent the location of kyles house.
The coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the Coordinates of Luke's house on the coordinate grid.
The grid representing Kyle's house. However, based on the given information, we can determine the coordinates of Kyle's house relative to Luke's house.
If Luke's house is located at the point (x, y), then Kyle's house is located 4 units to the left of Luke's house, which means the x-coordinate of Kyle's house is (x - 4). Similarly, Kyle's house is located 2 units up from Luke's house, which means the y-coordinate of Kyle's house is (y + 2).
Therefore, the coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the coordinates of Luke's house on the coordinate grid.
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Which of the following are geometric sequences? Select all correct answers.
Answer:
A, B, E
Step-by-step explanation:
Notice that A, B, and E all maintain their common ratios, while C and D do not.
Write an equation in slope-intercept form for the line containing the
the points (3, 8) and (5,2).
Answer:
\(y=-3x+17\)
Step-by-step explanation:
\(m=\frac{8-2}{3-5}=-3 \\ \\ y-2=-3(x-5) \\ \\ y-2=-3x+15 \\ \\ y=-3x+17\)
Select the correct answer. Consider this function. Which graph represents the inverse of function f? f(x)= x+4
The inverse of the function f(x) = x + 4 is given as f⁻¹(x) = x - 4
What is inverse of a function?An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.
In this problem, the function given is f(x) = x + 4;
We can find the inverse of the function as;
y = x + 4;
Let's switch the variables by replacing x as y and y as x;
x = y + 4
Solving for y;
y = x - 4
f⁻¹(x) = x - 4
The graph of the function is attached below
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Mr. Pham wrote 2.619 on the board. Christy says it is two and six hundred nineteen thousandths. Amy says it is 2 ones 6 tenths 1 hundredth 9 thousandths. Who is right? Explain your answer.
-8-8-6-2 4 12 22
What is the nth term rule of the quadratic sequence
Answer:
\(n^2 -3n - 6\)
Step-by-step explanation:
Looking at the image attached, you must first work out the difference between each term. This is +0, +2, +4, +6, +8, +10 (shown in orange).
Because you now have a linear sequence, the difference is now the same each time. This is +2 (shown in blue).
Because the original sequence is a quadratic, you have to halve the second difference (the +2). This means that the value of \(n^2\) is 1, so 1\(n^2\) or just \(n^2\) .
If you write out the values of \(n^2\), you can work out how much more you need to add or take away. For example, take the first three terms in the sequence.
n = 1, 2, 3
x = -8, -8, -6
\(n^2\) = 1, 4, 9
Work out the difference between \(n^2\) and x:
1 - -8 = 9
4 - -8 = 12
9 - -6 = 15
This gives you yet another linear sequence, 9, 12, 15.
Working out the formula for this, the difference is 3 each time, so it is 3n. The first value of n is 1, so 3n is 1. The difference is 6, so the formula for this linear sequence is 3n + 6.
Because \(n^2\) is greater than x, you need to take 3n + 6 away from \(n^2\).
This gives \(n^2\) - (3n+6), so the final answer is:
\(n^2\) - 3n - 6.
The ordered pair (2, 10) is a point on a direct variation equation. Write the direct variation equation.
Answer:
Y=KX so its 10=K2
Step-by-step explanation:
Plug in the Number OR K=y/x
Find the product. 8 4²/7 × ₁5 15
Answer: 519 120
Step-by-step explanation:
84*84=7056
7056/7=1008
1008*515=519 120
Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
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please help me i’m failing:/
Answer:
Step-by-step explanation:
its c.
also dont give up hope
Answer:
C = 21
Step-by-step explanation:
trust me its correct brainliest pls
How many gallons of a 50% antifreeze solution must be mixed with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze?
Answer: 180 gallons needed
Step-by-step explanation:
Zykeith,
Assume x gallons of 50% antifreeze is needed
Final mixture is x + 60 gallons
Amount of antifreeze in mixture is 0.4*(x+60)
Amount of antifreeze added is .5x + .1*60 = .5x + 6
so .5x + 6 = .4(x + 60)
.5x -.4x = 24 -6
.1x = 18
x = 180
Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:
\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)
Simplifying the equation:
\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)
\(\qquad\quad\implies 0.1x = 21\)
\(\qquad\qquad\implies \bold{x = 210}\)
\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
Using a standard deck of cards, Rayna drew one card and recorded its value. She continued this for a total of 200 draws. The table shows the frequency of each card drawn.
Card A 2 3 4 5 6 7 8 9 10 J Q K
Frequency 8 12 11 17 14 12 15 18 13 20 16 24 20
Based on the table, what is the experimental probability that the card selected was an A or 2?
1 over 10
2 over 13
one half
two thirds'
The experimental probability of drawing an A or 2 is 1/10.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
To find the experimental probability of drawing an A or 2, we need to add the frequency of drawing an A and the frequency of drawing a 2 and divide it by the total number of draws.
Frequency of drawing an A = 8
Frequency of drawing a 2 = 12
Total frequency of drawing an A or 2 = 8 + 12 = 20
Total number of draws = 200
Experimental probability of drawing an A or 2 = Total frequency of drawing an A or 2 / Total number of draws = 20 / 200 = 1/10
Therefore, the experimental probability of drawing an A or 2 is 1/10.
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