Answer: -8 points
Step-by-step explanation:
From the question, we are informed that Irma is just learning to play the Happy Fairies video game and that in the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens.
We are told that Irma had a total of –5 points, then, her fairy house fell over in the wind and she got –3 points.
Her total points now will be the addition of -5 and -3. This will be:
= -5 + (-3)
= -5 - 3
= -8
Note that minus multiplied by plus is minus.
Answer: -8
Step-by-step explanation:
An athlete us jumping. However, everytime she jumps she gets a bit more tired, and every jump goes 1/2 as far as her prior jump. Now, for her very first jump, she goes 1/2 of a foot. On her second jump, she goes 1/4 of a foot, and so on and so forth. How many jumps does it take to get to travel 1 foot
Answer:
She can never travel a distance of 1 foot for the given condition.
Step-by-step explanation:
In every jump, she goes 1/2 as far as her prior jump.
In the 1st jump, she covered a distance, d_1= \frac 1 2 foot.
The distance covered in the 2nd jump
[tex]d_2= \frac 12 \times d_1 = = \frac 12 \times \frac 12= \frac 1 4[/tex] (given)
So, the distanve covered in the 3rd jump
[tex]=\frac 12 \times d_2= \left(\frac 1 2\right )^2\times \frac 1 2= \left(\frac 1 2\right)^{3-1}\times \frac 1 2.[/tex]
Similarly, the distance covered in the [tex]r^{th}[/tex] jump
[tex]=\left(\frac 12 \right)^{r-1}\times \frac 1 2.[/tex]
Assuming she requires [tex]n[/tex] jumps to travel 1 foot of distance.
So, the sum of all the distances covered in n jumps = 1 foot
[tex]\Rightarrow \frac 1 2 + \frac 1 4 + \cdots + \left(\frac 12 \right)^{r-1}\times \frac 1 2+\cdots+ \left(\frac 12 \right)^{n-1}\times \frac 1 2=1[/tex]
[tex]\Rightarrow \frac 1 2 + \left(\frac 12 \right)^2 + \cdots + \left(\frac 12 \right)^{r}+\cdots+ \left(\frac 12 \right)^{n}=1[/tex]
This a geometric progression, G.P., of [tex]n[/tex] terms having common ration, r= 1/2 and the first term [tex]a_1= 1/2[/tex].
As sum of all the n terms of G.P [tex]=\frac {a_1(r^n-1)}{r-1}[/tex],
[tex]\Rightarrow \frac {1/2((1/2)^n-1)}{1/2-1}=1[/tex]
[tex]\Rightarrow - \left(\left(\frac 1 2\right)^n-1\right)=1[/tex]
[tex]\Rightarrow \left(\frac 1 2\right)^n-1=-1[/tex]
[tex]\Rightarrow \left(\frac 1 2\right)^n=-1+1=0[/tex]
[tex]\Rightarrow \frac {1}{2^n}=0[/tex]
This is only possible, mathematically, when [tex]n\rightarrow \infty[/tex], But in real life situation reaching infinity is not possible.
Hence, she can never travel a distance of 1 foot for the given condition.
PLEASE HELP
4. What are the parallel, perpendicular and diagonal cross sections for a cylinder, rectangular prism and rectangular pyramid?
Answer:
For a Cylinder It is a circle, For a rectangular prism it is a square rectangular pyramid a cross section is a rectangle
Step-by-step explanation:
I basically told you the answer so
Hope this helps :)
Explain Null Factor Law
Answer:
If the product of any two numbers is zero,then one or both of the numbers is zero.That is,if ab=0, then a=0 or b=0 (which includes the possibility that a=b=0).
The lengths of salamanders have a normal distribution with mean 15cm, and standard deviation 2cm. What is the probability a salamander has length between 12.2cm and 16.5cm
Answer:
The probability a salamander has a length between 12.2cm and 16.5cm is 0.6930
Step-by-step explanation:
We start by finding the z-score of each
Mathematically;
z-score = (x - mean)/SD
for 12.2 cm
z-score = (12.2 - 15)/2 = -2.8/2 = -1.4
For 16.5 cm
z-score = (16.5 -15)/2 = 1.5/2 = 0.75
So the probability we want to calculate is;
P( -1.4 < z < 0.75)
we can calculate this using the normal distribution table
Mathematically;
P( -1.4 < z < 0.75) = P( z < 0.75) - P( z < -1.4)
= 0.2263 + 0.30738
= 0.69262
Line segment EF is shown on a coordinate grid: A coordinate plane is shown. Line segment EF has endpoints negative 3 comma 2 and negative 1 comma 2. The line segment is rotated 180 degrees counterclockwise about the origin to form E'F'. Which statement describes E'F'? E'F' is perpendicular to EF. E'F' and EF are equal in length. E'F' is half the length of EF. E'F' is greater than twice the length of EF.
Answer:
The answer is " E'F' and EF are equal in length".
Step-by-step explanation:
By rotating that through some degree, a revolution is some kind of rigid transformation, which creates an image of the very same shape and size. There will be two main properties of the rotation:
Preservation of rotating scale (including sides and angles). The lines connecting the rotation center to the pre-image and the corresponding image point are of equal length.In each line, the segment is rotated counterclockwise 180 degrees around the origin to form E'F, that's why the above given choice is correct.
Answer:
The answer is " E'F' and EF are equal in length
Step-by-step explanation:
What is the missing term in the factorization? 1872 -- 32 2(3x+?) (3x – 4) Enter your answer in the box.
Answer:
4
Step-by-step explanation:
..........................
The probability that a truck will be going over the speed limit on I-77 South between Dobson and Elkin is about 75%. Suppose a random sample of five trucks are observed on this stretch of I-77. a. Find the mean of this probability distribution. Show the formula and your work. b. Interpret the mean in the context of the problem. c. Find the standard deviation of this probability distribution. Round your answer to 2 decimal places. d. Find the probability that exactly 3 of the observed trucks are speeding. e. Find the probability that less than 3 of the observed trucks are speeding.
Answer:
Explained below.
Step-by-step explanation:
Let X = number of trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.
The probability of X is, p = 0.75.
A random sample of n = 5 trucks are observed on this stretch of I-77.
The random variable X follows a binomial distribution with parameters n = 5 and p = 0.75.
(a)
Compute the mean as follows:
[tex]\mu=n\times p=5\times 0.75=3.75[/tex]
The mean of this probability distribution is 3.75.
(b)
The mean of 3.75 implies that on average 3.75 trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.
(c)
Compute the standard deviation as follows:
[tex]\sigma=\sqrt{np(1-p)}=\sqrt{5\times 0.75\times (1-0.75)}=0.968[/tex]
Thus, the standard deviation of this probability distribution is 0.97.
(d)
Compute the probability that exactly 3 of the observed trucks are speeding as follows:
[tex]P(X=3)={5\choose 3}(0.75)^{3}(1-0.75)^{5-3}\\\\=10\times 0.421875\times 0.0625\\\\=0.263671875\\\\\approx 0.2637[/tex]
Thus, the probability that exactly 3 of the observed trucks are speeding is 0.2637.
(e)
Compute the probability that less than 3 of the observed trucks are speeding as follows:
[tex]P(X<3)=P(X=0)+P(X=1)+P(X=2)\\\\=\sum\limits^{2}_{x=0}{{5\choose x}(0.75)^{x}(1-0.75)^{5-x}}\\\\=0.0009765625+0.0146484375+0.087890625\\\\=0.103515625\\\\\approx 0.1035[/tex]
Thus, the probability that less than 3 of the observed trucks are speeding is 0.1035.
Numbers like 10, 100, 1,000, and so on are called
Answer:
Powers of ten
Step-by-step explanation:
They are the result of multiplying 1= times iteself however many times.
Simplify the expression.
−(−x)3 − x3
A. −4x3
B. −2x3
C. 2x3
D. 0
Answer:
D. 0
Step-by-step explanation:
Answer:
d. 0
Step-by-step explanation:
−(−x)3 − x3
(remove parentheses)
x * 3 -x *3
(eliminated opposites)
0
(your answer)
Carrie needs to determine the number of tiles that will fit in each row along the back of the shower. If the back of the shower measures 6 feet long and each tile is Two-thirds of a foot long, which equation shows how to determine the number of tiles that will fit in each row?
Answer: A6/ 2/3= 9
Step-by-step explanation:
We know that one tile is 2/3 ft long and we want to cover 6 ft (which is the given measure of the back of the shower).
To know the number of tiles needed, we will simply do cross multiplication as follows:
1 tile ...............> 2/3 ft
?? tiles ...........> 6 ft
Number of tiles = (6*1) / (2/3)
Number of tiles = 6 / (2/3)
Number of tiles = 9 tiles
Answer:
A). 6 ÷ 2/3 = 9
Step-by-step explanation:
which fraction is less 2/10 or 5/8 or neither they are equal
2/10 is less, because with a common denominator they are 8/40 and 25/40. Since 5/8 = 25/40, and 8/40 is smaller than that, 2/10 is smaller.
Answer:
2/10 is less than 5/8
Step-by-step explanation:
2/10 =0.20
5/8= 0.625
0.20<0.625
Using the scale 1 cm : 5 meters, Tamara calculated the length of her old gym to be 45 meters and the width to be 20 meters.
Using a new scale, 1 cm : 10 meters, she found the length of the new gym to be 90 meters.
The width of the new gym is
meters.
The length and width of the new gym are
times the length and width of the old gym.
Answer:
1.The width of the new gym is 40
2.The length and width of the new gym are
times the length and width of the old gym 2
Answer:
The width of the new gym is 40 meters.
The length and width of the new gym are 2 times the length and width of the old gym.
Step-by-step explanation:
What is the average rate of change in height over the entire 5 seconds?
Answer:“To get the average rate of change between 2 points...” To get the average rate of change between 2 points, plug in their coordinate values into the equation (y2-y1)/(x2-x1). The values come from the points (x1,y1) and (x2,y2).
Step-by-step explanation:
what is the slope of a line perpendicular to the line whose equation is 9x+3y=-27
Answer:
y = (1/3)x - 27 <-- perpendicular line
Step-by-step explanation:
9x + 3y = (-27)
3x + y = (-27)
y = (-3x) - 27 <-- original line
y = (-3x) - 27 <-- original line
slope = (-3)
slope = (-3/1)
inverse = (1/-3)
negative inverse = (1/3)
y = (1/3)x - 27 <-- perpendicular line
Write the equation of a line with a slope of 1/4 and a y-intercept of -5 in slope intercept form.
Answer:
y=1/4x-5
Step-by-step explanation:
slope goes before x and y intercept is the number with no variable.
Please help hurry!!!!! This is due in a couple of minutes!!!!
Answer:
200 in.
Step-by-step explanation:
1250/75=5000/300=50/3 simplification
50*12=600 conversion to inches
600/3=200 simplification
help please !!! show work
Answer:
y = [tex]\frac{2w}{x^{2}}[/tex]
Step-by-step explanation:
To solve an equation for one of its variable do that
Underline the variableSeparate it on one side and the other terms on the other sideMake its coefficient equal 1Let us use these steps to solve our question
∵ w = [tex]\frac{1}{2}[/tex] x²y
→ Underline y
∴ w = [tex]\frac{1}{2}[/tex] x²y
→ Multiply both sides by 2 to cancel the denominator 2
∵ 2 × w = 2 × [tex]\frac{1}{2}[/tex] x²y
∴ 2w = x²y
→ Divide both sides by x² to move it to the left side
∵ [tex]\frac{2w}{x^{2}}[/tex] = [tex]\frac{x^{2}y}{x^{2}}[/tex]
∴ [tex]\frac{2w}{x^{2}}[/tex] = y
→ Switch the two sides
∴ y = [tex]\frac{2w}{x^{2}}[/tex]
can u guys help with my one question i have left
Answer:
Weeks in a Year. A normal year has 365 days, which is 52 Weeks and 1 Day. A leap year has 366 days, which is 52 .
Step-by-step explanation:
hope this helps :)
Answer:
I think 6
Step-by-step explanation:
365/12=30.42
30.42/5= 6.08
Help me solve this problem please
Answer:
6
Step-by-step explanation:
2(6) - 3(6) + 20 + 5(6) - 40 = 4 CORRECT
2(8) - 3(8) + 20 + 5(8) - 40 = 12 WRONG
2(16) - 3(16) + 20 + 5(16) - 40 = 44 WRONG
2(18) - 3(18) + 20 + 5(18) - 40 = 52 WRONG
helppp plsssssssssssssssssssss
Answer:
6b-8=58
b=11
Step-by-step explanation:
Which of the following can be concluded given Z1 a ZT?
4
3/2
5
a
what would be the graph for y=2x+5
See attachment for math work and answer.
Answer:
See attached picture.
Step-by-step explanation:
We know that in slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line and [tex]b[/tex] represents the y-intercept. To start we would put a point on (0,5) to represent the y-intercept. Next, we know our slope is 2 so we would go up two and right one to get to our next point (2,6). We can then make a straight line between these to get our graph
4/-7 + -6/5
In simplest form
See attachment for math work and answer.
How do I factor
x ^5−x^ 4+3x−3
It took Jill two hours to drive 100 miles. What was her average speed?
Answer:
50 miles per hour
Step-by-step explanation:
Divide 100 by 2
50
Hope this helped :)
Write the slope intercept form of an equation for the line containing (0,-3) with slope -1.
Answer:
y=-x-3
Step-by-step explanation:
Formula (point slope): y-y1=m(x-x1)
y-(-3)=-1(x-0)
(distribute the -1)
y+3=-1x+0
(combine like terms)
y=-1x-3
Mike has $800 in his bank account. Over the last 5 years, the amount in his account has went down to $300. What integer represents the average decrease in value PER YEAR?
Answer:
The average decrease each year is 60 because 300 divided by 5 is 60.
HOPE THIS HELPS
Can somebody please help?
Answer: C
Step-by-step explanation: I could tell just by looking at the first two, they’re negative
PLEASE HELP, IM NOT SURE!!!
The scale on a map reads 2 inches = 5 miles. What is the actual distance
between two cities on the map that are 6.5 inches apart?*
O A. 2.6 miles
B. 13 miles
O C.32.5 miles
D. 16.25 miles
Answer:
Step-by-step explanation:
2 inches = 5 miles.
So if you divide both sides by 2,
1 inch = 2.5 miles
To find how many miles 6.5inches is equal to, multiply 2.5 by 6.5
6.5 inches = 2.5 x 6.5 = 16.25 miles
Solve 5(x+9) - 4 = 71 for x
Answer:
x = 6
Step-by-step explanation:
5 times x is 5x, 5 times 9 is 45; 5x+49-4; 49 minus 4 is 45; 5x+45 = 75; now minus 45 from each side so it would now be 5x = 30; now divide; 30/5 = 6.