Answers
It is required to find:
[tex]\frac{4}{0}[/tex]Note that any number divided by zero is undefined.
This implies that division 4/0 is undefined.
The same goes for:
[tex]6\div0[/tex]The correct answer is undefined for both divisions.
Related Questions
In an all boys school, the heights of the student body are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. What is the probability that a randomly selected student will be taller than 71 inches tall, to the nearest thousandth?
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Answer:
0.010
Step-by-step explanation:
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score = 63 inches
μ is the population mean = 70 inches
σ is the population standard deviation = 3 inches
For x shorter than 63 inches = x < 63
Z score = x - μ/σ
= 63 - 70/3
= -2.33333
Probability value from Z-Table:
P(x<63) = 0.0098153
Approximately to the nearest thousandth = 0.010
Therefore, the probability that a randomly selected student will be shorter than 63 inches tall, to the nearest thousandth is 0.010.
A construction worker dropped a hammer while building the Grand Canyon skywalk, 8100 feetabove the Colorado River. Use the formula t=(square root of h)/4 to find how many seconds it took for thehammer to reach the river.
Answers
Given:
[tex]t=\frac{\sqrt[]{h}}{4}[/tex]To find the time when the height h=8100 feet:
Substitute h=8100 in the given function.
[tex]\begin{gathered} t=\frac{\sqrt[]{8100}}{4} \\ t=\frac{90}{4} \\ t=22.5\text{ seconds} \end{gathered}[/tex]Thus, the time required for the hammer to reach the river is 22.5 seconds.
Columbia Mirror and Glass pays Janet Murphy a $1120 monthly salary plus a 14% commission on merchandise she sells each month. Assume Janet's sales were $94,100 for last month. Calculate the following amounts: 1. Amount of Commission: Х ? SUD si 2. Gross Pay:
Answers
Monthly salary = $1120
Comission percentage = 14%
Janet's sales = $94,100
1. Amount of commission
Multiply the sales amount (94,100) by the Commission percentage in decimal form (divided by 100).
94,100 x (14/100) =
94,100 x 0.14 = $13,174
2. Gross pay
Add the amount of commission and the monthly salary:
13,174+1120 = $14,294
The vertices of a figure are A(1, -1), B(5, -6), and C(1, - 6). Rotate the figure 90° counterclockwise about the origin. Find the coordinates of the image. Polygon
Answers
A'(1,1)
B' (6,5)
C' (6,1)
Explanation
Step 1
Let
A(1,-1)
B(5,-6)
C(1,-6)
Step 2
find the image (A'B'C')
When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.
Hence
[tex]\begin{gathered} A\mleft(1,-1\mright)\rightarrow A^{\prime}(1,1) \\ B(5,-6)\rightarrow B^{\prime}(6,5) \\ C(1,-6)\rightarrow C^{\prime}(6,1) \end{gathered}[/tex]so, the coordinates of the image are
A'(1,1)
B' (6,5)
C' (6,1)
I hope this helps you
I will show you the question
Answers
Given a coordinate plane
For each point, we will make a rotation about the origin
A: ( 9, 3) Clockwise by 90
The rule of rotation will be:
[tex](x,y)\rightarrow(y,-x)[/tex]So, the image of A will be A' = ( 3, -9)
B: ( -4, 7 ) counterclockwise 90
the rule of rotation will be:
[tex](x,y)\rightarrow(-y,x)[/tex]So, the image of B will be B' = ( -7, -4)
C: ( 6, -5) by 180
The rule of rotation will be:
[tex](x,y)\rightarrow(-x,-y)[/tex]so, the image of C will be C' = (-6, 5)
D: ( -8, -2) clockwise by 90
So, the image of D will be D' = ( -2, 8)
Solve 5x² + 25 = 0Ox= -5x = -5 and x = 5Ox=5No Real Solutions
Answers
Solve for x:
Subtract 25 from both sides:
[tex]\begin{gathered} 5x^2+25-25=-25 \\ 5x^2=-25 \end{gathered}[/tex]Divide both sides by 5:
[tex]\begin{gathered} \frac{5x^2}{5}=-\frac{25}{5} \\ x^2=-5 \end{gathered}[/tex]Take the square root of both sides:
[tex]\begin{gathered} x=\pm\sqrt{-5} \\ x=\pm\sqrt{5}i \end{gathered}[/tex]Therefore, there are no real solutions
Answer:
No Real Solutions
In the picture below, angle 2 = 130 degrees, what is the measurement of angle 8?
Answers
Answer:
130°
Step-by-step explanation:
Alternate interior angles are equal in measure.
Find the length of the third side. If necessary, round to the nearest tenth. 12 5 x=what is the missing number x?
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Step 1
Longest side is the hypotanuse = x
opposite = 5
Adjacent = 12
Apply pythagorus theorem
[tex]\begin{gathered} \text{Opposite}^2+Adjacent^2=Hypotanuse^2 \\ 5^2+12^2=x^2 \\ \\ 25+144=x^2 \\ x^2\text{ = 169} \\ x\text{ = }\sqrt[\square]{169} \\ x\text{ = 13} \end{gathered}[/tex][tex]undefined[/tex]what is 3 in the 9th power equal
Answers
3 in the 9th power means that you have to make 3 to the power of 9.
[tex]3^9=3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3=19,683[/tex]The answer is 19,683.
A package of 8-count AA batteries costs $6.16. A package of 20-count AA batteries costs $15.60. Which statement about the unit prices
is true?
The 8-count pack of AA batteries has a lower unit price of $0.77 per battery.
The 20-count pack of AA batteries has a lower unit price of $0.77 per battery.
The 20-count pack of AA batteries has a lower unit price of $0.78 per battery.
Answers
Answer:
it would be within the range of $0.77 <x< $0.78
Find the area of the shaded circles. Leave your answer in terms of pi or round to the nearest 10th
Answers
step 1
Find out the area of the complete circle
[tex]A=\pi\cdot r^2[/tex]we have
r=10 units
substitute
[tex]\begin{gathered} A=\pi\cdot10^2 \\ A=100\pi\text{ unit2} \end{gathered}[/tex]Remember that the area of the complete circle subtends a central angle of 360 degrees
so
Applying proportion
Find out the area of the circle with a central angle of 330 degrees
100pi/360=x/330
solve for x
x=(100pi/360)*330
x=91.67pi unit2What is the solution set of x² + 5x - 5 = 0?
Answers
The solution of x² + 5x - 5 = 0 is :
x = 0.854 and -5.854 .
Solution:
Here given equation,
x2 + 5x - 5 = 0
To solve the given equation use quadratic formula,
Using the quadratic formula,
x = [-b ± [tex]\sqrt{b2 - 4ac}[/tex] ] /2a
Here,
a = 1, b = 5 and c = -5
By substituting,
x = [-5 ± [tex]\sqrt{52 - 4(1)(-5)}[/tex] ] /2(1)
= [-5 ± √[tex]\sqrt{25 + 20}[/tex]] /2
= [-5 ± √45] /2
= [-5 ± 6.708] /2
So,
x = (-5 - 6.708)/2
= -11.708/2
= -5.854
= (-5 + 6.708)/2
= 1.708/2
= 0.854
∴ the solutions of equation is : 0.854 and -5.854.
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Any equation that can be rearranged in standard form as follows, where x stands for, is referred to be a quadratic equation in algebra.
What constitutes the x2 + 5x - 5 = 0 solution set?
We must figure out the equation's answer. The answers to the problem are thus 0.854 and -5.854. x^2 + 5x - 5 = 0
It is impossible to factor a quadratic equation like this one. It can be resolved either by completing the square or by applying the quadratic formula.
x = (-b +-sqrt(b2 - 4ac))/2a is the quadratic formula, where an is the coefficient of the x2, b is the coefficient of the x, and c is the constant.
a = 1, b = 5, c = -5
x = (-5 +- sqrt(25+20))/2
x = (-5 +- sqrt(45))/2
x = (-5 + - 3 sqt 5))/2
x = (-5 + 3sqrt5)/2 as well as x = (-5 - 3sqrt5)/2.
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Why might you use a different power of 10 instead of leaving bothnumbers in scientific notation?
Answers
Why might you use a different power of 10 instead of leaving both
numbers in scientific notation?
Because scintific notation is a simplification for large or small numbers, so a big number with a lot of zeros can be writen by a power of 10 multiplied by a number. But we cannot make substractions using this, because the powers ten represents very different values, for instance
[tex]\begin{gathered} 1\times10^1=10 \\ 1\times10^2=100 \end{gathered}[/tex][tex]1\times10^2-1\times10^1=100-10=90,[/tex]But if they have the same power, we can use the distibutive law to make the substraction
[tex]1\times10^2-1\times10^1=10\times10^1-1\times10^1=(10-1)\times10^1=9\times10^1^{}[/tex]which is the same thing. No matter the power of 10, if the power is the same you can use the same argument I've made before.
6x + 14y what is the letter y in this problem?
Answers
The value of letter y in this problem is y = 6x / -14
How to solve the equationThe equation says that 6x + 14y
To solve the equation that we have here, we would have to equate to 0
such that we would have the equation as 6x + 14y = 0
6x + 14y = 0
then we would have
6x = - 14y
remember that when positives crosses over we would have it turn as negative.
Next we would have to divide through by - 14 in order to get the value of y
hence we would have
-14y / -14 = 6x / -14
then we would have y as
y = 6x / -14
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Please help meSolve using A=PertThe half life gets me each time.
Answers
find the sum of the first 44 terms of the following series. to the nearest integer 10,14,18,...
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The first term is a=10.
The number of terms is n=44.
The common difference is d=4.
The formula for the sum of n terms is,
[tex]S=\frac{n}{2}\lbrack2a+(n-1)d\rbrack[/tex]Determine the sum of first 44 terms of the series.
[tex]\begin{gathered} S=\frac{44}{2}\lbrack2\cdot10+(44-1)4\rbrack \\ =22\cdot\lbrack20+172\rbrack \\ =22\cdot192 \\ =4224 \end{gathered}[/tex]So answer is 4224.
[tex] - x \div 4 \geqslant 2[/tex]That's the Math problem
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Exercises Complete the following: 11. Find the intercepts and (a) 9x² - 164 = 144 (c) 25x - 4y = 100 (e) x² + y² = 1 29x² + 16y² = 144
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The intercepts for a function can be on either of the two axis, y or x.
when finding the intercepts of x, means that y = 0
when finding the intercepts of y, means that x = 0
finding the x intercepts
[tex]\begin{gathered} -x^2+(0)^2=1 \\ -x^2=1 \\ x^2=-1 \\ x=\sqrt[]{-1} \end{gathered}[/tex]since the solution for the square root of -1 has not any solution on the real numbers, we can say that there is no intercept over the x axis.
finding the y intercepts
[tex]\begin{gathered} -(0)^2+y^2=1 \\ y^2=1 \\ y=\pm\sqrt[]{1} \\ y=1;y=-1 \end{gathered}[/tex]there are 2 intercepts on the y axis, these are at y=1 and y=-1
information can be proven by graphing the function
if you can tee the picture well please tell me
Answers
Since they give us the equation they have gotten for the line of best fit, we use it to estimate what thye answer is when x = 25:
Use:
y = 1.708 x - 4.011
then when x = 25:
y = 1.708 (25) - 4.011
y = 38.689
I don't read if the want you to round the answer to a given number of decimals, but if you try exactly the number we got (with the three decimals) that would be the most exact.
I am creating a study guide and need step by step explanation for this question please
Answers
After other workers taken 1 banana, 2 oranges and 1 pear then total fruits left in the basket
[tex]11[/tex]Now the number of oranges left is 4.
So the probability of picking an orange from the basket is
[tex]\frac{4}{11}[/tex]After she took 1st orange then the number of oranges left 3
So the probability of picking an orange for the 2nd time is
[tex]\frac{3}{10}[/tex]Now the number of oranges left is 2, and the total number of fruits is 9. So the probability of picking third fruit also orange is
[tex]\frac{2}{9}[/tex]Valerie drives 400 meters up a hill that makes an angle of 20° with thehorizontal. To the nearest tenth of a meter what horizontal distance hasshe covered? A.425.7mt B.375.9mt C.1169.5mt or D.136.8mt
Answers
Given:
Valerie drives 400 meters up a hill that makes an angle of 20° with the horizontal.
To find:
The horizontal distance she has covered.
Solution:
The figure showing the scenario is as follows:
Let the horizontal distance traveled be x meters.
The horizontal distance traveled can be obtained using the trigonometric function cosine.
In the figure,
[tex]\begin{gathered} \cos 20=\frac{x}{400} \\ 0.94=\frac{x}{400} \\ x=400\times0.93969 \\ x=375.877 \end{gathered}[/tex]Thus, the horizontal distance covered is 375.9 ft.
Thus, option B is correct.
write the simplest polynomial equation with the given roots. -1, 2i please answer quickly
Answers
The polynomial equation with root of -1 and 2i is,
[tex]\begin{gathered} (x+1)(x+2i)(x-2i)=(x+1)(x^2-(2i)^2) \\ =(x+1)(x^2-4i^2) \\ =(x+1)(x^2+4) \\ =x^3+4x+x^2+4 \\ =x^3+x^2+4x+4 \end{gathered}[/tex]So simplest polynomial is,
[tex]x^3+x^2+4x+4[/tex]had a question about this and i cant find a answer
Answers
A line is given by the expression:
y=mx+b
where, m is the slope of the line and since we have to write an equation that is parallel to the given line, both lines have the same slope:
We can find the equation of the line by the slope-point form of a line, with the given point (-8, -7) and the slope of -4
[tex]\begin{gathered} y-y_0=m(x-x_0) \\ y+7=-4(x+8) \\ y+7=-4x-32 \\ y=-4x-32-7 \\ y=-4x-39 \end{gathered}[/tex]What is 16.02+8.5+14 ?? i want to know for a home work
Answers
Given:
[tex]16.02\text{ + 8.5 + 14}[/tex]To solve,
Step 1:
Express each value to a common decimal place.
We can express each value to two decimal places.
Thus, we have
[tex]16.02+8.50+14.00[/tex]Step 2:
Sum up the values.
Hence, 16.02 + 8.5 + 14 gives 38.52.
The sum of 19 and twice a number
Answers
Answer:
2x+19
Step-by-step explanation:
Let x be the number
2x+19
Question 6 of 25Simplify the radical expression below.이히O A.A.v28O B.9O c.NIC3
Answers
We need to simplify the next given expression:
[tex]\sqrt{\frac{2}{9}}[/tex]We can rewrite it as:
[tex]\sqrt{\frac{2}{9}}=\frac{\sqrt{2}}{\sqrt{9}}[/tex]Solve each square root:
√2 =√2
√9 = 3
Then, the result is:
[tex]=\frac{\sqrt{2}}{3}[/tex]Hence, the correct answer is option A.
point).
Questions
1. (1) How many observations are collected? (2) How many variables are collected? (3) write
I
down quantitative variables (4) write down qualitative variables
2. Describe the data visually
2.1.(1) Make a frequency tables and histogram for the “Hour” variable (bin limit = 1), and (2)
describe the shapes of the histogram
2.2.(1) Make a frequency tables and histogram for the “Type” variable, and (2) prepare a 2-D
pie chart and write down the title of chart
2.3.(1) Make a frequency tables and histogram for the “Weekday” variable, and (2) prepare a 2-
D pie chart and write down the title of chart
2.4.(1) Make a frequency tables and histogram for the “Location” variable, and (2) prepare a 2-D
pie chart and write down the title of chart
2.5.(1) Make a scatter plot of the data for the “Time” and “Hour variables, placing “Hour" on the
X-axis and "Time" on the Y-axis. Add titles and modify the default colors, fonts, etc., to make
the scatter plot easy to understand. (2) Describe the relationship (if any) between X and Y.
Weak? Strong? Negative? Positive? Linear? Nonlinear?
2.6.(1) Make a dot plot of the “Hour" variable for the “Deposit Type" variable. (2) Make a dot
plot of the "Hour" variable for the "Withdraw Type” variable. (3) Compare the shapes of both
charts
Answers
1). 68 observations
1.2) 8 variables
1.3) Quantitative Variables: Type, Time, Date, DayCode, Hour, and Amount
1.4) Qualitative Variables: Location, Weekday
Question 1) Let's examine that table to find out the number of collected observations. Counting each row, we have 68 observations. Each one informing the type, time, date, day code, weekday, Location, Hour, and Amount
1.2) We have then 8 variables namely (type, time, date, day code, weekday, Location, Hour, and Amount)
1.3) The Quantitative Variables are the ones whose entries are numerical, so examining then we can state that:
Type, Time, Date, DayCode, Hour, and Amount each and every one of them receives a numerical entry.
1.4) Qualitative or Categoricals variables are the ones whose entry is not a numerical one. So we can enlist the following ones as Qualitative:
Location
Weekday
Hence the answers are:
1). 68 observations
1.2) 8 variables
1.3) Quantitative Variables: Type, Time, Date, DayCode, Hour, and Amount
1.4) Qualitative Variables: Location, Weekday
Determine if the following ordered pairs are solutions to the equation 3x + y = 12.
(2,5)
(4,0)
(0,6)
Is (2,5) a solution to the equation 3x+y=12? Select the correct choice below and fill in the answer box to complete your
choice.
OA. Yes, because when 2 is substituted for x and 5 is substituted for y, simplifying the left side results in.
equals the right side.
OB. No, because when 2 is substituted for x and 5 is substituted for y, simplifying the left side results in
does not equal the right side.
A. Yes, because when 4 is substituted for x and 0 is substituted for y, simplifying the left side results in
equals the right side.
which
Is (4,0) a solution to the equation 3x + y = 12? Select the correct choice below and fill in the answer box to complete your
choice.
OB. No, because when 4 is substituted for x and 0 is substituted for y, simplifying the left side results in
does not equal the right side.
which
which
which
Is (0,6) a solution to the equation 3x+y=12? Select the correct choice below and fill in the answer box to complete your
choice.
OA. Yes, because when 0 is substituted for x and 6 is substituted for y, simplifying the left side results in
which
Answers
We can conclude that (4,0) is the solution of the equation 3x + y = 12 with the correct option (A).
What exactly are equations?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign.So, the ordered pair of the equation 3x + y = 12:
(A) When (2,5):
3x + y = 123(2) + 5 = 126 + 5 = 1211 ≠ 12(B) When (4,0):
3x + y = 123(4) + 0 = 1212 + 0 = 1212 = 12(C) When (0,6):
3x + y = 123(0) + 6 = 120 + 6 = 126 ≠ 12Therefore, we can conclude that (4,0) is the solution of the equation 3x + y = 12 with the correct option (A).
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3. x-intercept 4, y-intercept 2, passes through 5. Center on x = 3, radius 13, passes through Center on the y-axis, radius 5, x-intercept 3 cle having the given center and radius. (b) C (-2,-5), r = 4 (d) C(2, -3), r= 6 ving the given properties. (0,0) (6, 5)
Answers
Samantha, this is the solution to problem 5:
With the information given in the statement you can solve for k, where k is the center in y:
(x-h)^2 + (y-k)^2 = r^2
(6-3)^2 + (5-k)^2 = (√(13))^2
(3)^2 + (5-k)^2 = 13
9+(5-k)^2 = 13
(5-k)^2 = 4
√((5-k)^2) = √4
5-k = 2
-k = -3
k = 3
Then the equation of the circle will be
(x-3)^2 + (y-3)^2 = 13
Christine is a software saleswoman. Let y represent her total pay (in dollars). Let x represent the number of copies of Math is Fun she sells. Suppose that x and y are related by the equation 70x + 1700= y.Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What is the change in Christine’s total pay for each copy of Math is Fun she sells? What is Christine’s total pay if she doesn’t sell any copies of Math is Fun?
Answers
From the information given, the equation relating her total pay (in dollars), y to the number of copies of Math is Fun she sells, x is expressed as
y = 70x + 1700
This is a linear equation. The slope intercept form of a linear equation is expressed as
y = mx + b
where
m = slope or rate of change
b = y intercept of the value of y when x = 0
By comparing both equations,
m = 70
b = 1700
a) Thus, the change in Christine’s total pay for each copy of Math is Fun she sells 70 dollars per copy
b) Christine’s total pay if she doesn’t sell any copies of Math is Fun is the value of y when x = 0. thus,
Christine’s total pay if she doesn’t sell any copies of Math is Fun = $1700
