Step-by-step explanation:
we assume day and night are equally long.
and the mouse will start at night of day 1.
then, on day 2, it will first retreat 2 meters (during daylight) and then advance 14 meters (at night).
so, on every full day, the mouse will effectively advance 12 meters (-2 + 14 = 12).
with a starting value of 14 (the first night).
so, we are getting an arithmetic sequence
an = an-1 + c
c = 12 in our case.
a1 = 14
a2 = a1 + 12 = 14+12 = 26
a3 = a2 + 12 = a1 + 12 + 12 = 14 + 2×12 = 38
an = a1 + (n-1)×12 = 14 + 12(n-1)
at what n will it reach 86 ?
86 = 14 + 12(n-1) = 14 + 12n - 12 = 2 + 12n
84 = 12n
n = 7
so, on the 7th day the mouse will reach the surface (if we truly count the first starting night day 1 - this is up to your teacher, but I would).
Suppose that two lines, AB and CD, are intersected by a transversal.
Which of the following reasons alone could be used to show that the lines are parallel?
Answer: A, B
Step-by-step explanation:
A and B are unique to parallel lines, C and D are not.
Najib cuts out a rectangle that has a perimeter of 50 inches and a length of 17 inches.He cuts out another rectangle that is the same length and twice as wide. What is the perimeter of the new rectangle.
Answer:
66 inches
Step-by-step explanation:
perimeter = 2(l+b)
here, perimeter is 50 and length is 17
let the width be x,
=> 50 = 2(17+x)
=> 50 = (2*17)+(2*x)
=> 50 = 34 + 2x
=> 50 - 34 = 2x [transposing method]
=> 16 = 2x
=> 16/2 = x
=> 8 = x
8 inches = width of the first triangle
we know, the other rectangle's length is 17
and it is said that the width is twice the width of the first triangle
so the length = 17, width = 2*8 = 16
for the perimeter
p = 2(l+b),
=> p = 2(17+16)
=> p = (2*17)+(2*16)
=> p = 34+32
=> p = 66
so the perimeter of the other rectangle is 66
Answer:
66
Step-by-step explanation:
that answer was incorrect. change your answer and try again!
Which is a graph of =3−1 y = 3 x - 1 ?
Answer:
The one on the top right
Step-by-step explanation:
first, look at the y-intercept:
two of the graphs (top-right and bottom-left) have the correct y-intercept of (0, -1).
(The y-intercept is 0 and then the last term of the equation in this form)
next, look at the slope:
slope is in the form of rise/run
the slope for this equation is 3, or 3/1
so look at the graphs, find the y-intercept point and go up three cells and over one.
Only one of the graph's lines goes through this point, and that is the top-left one
Examine the following PSA How is the creator of this PSA sharing a viewpoint about the importance of reading? by providing a strategy for encouraging kids to read more often by showing what will happen if people do not read frequently by highlighting one of the benefits that comes from reading by featuring a specific fact about the importance of reading
The statement third “by highlighting one of the benefits that comes from reading” is correct.
What is reading?Reading is a thinking process that entails interpreting words in deriving information.
We have statements about the importance of reading:
by providing a strategy for encouraging kids to read more often.by showing what will happen if people do not read frequently.by highlighting one of the benefits that comes from reading.by featuring a specific fact about the importance of reading.According to the PSA, the correct statement about the importance of reading is by highlighting one of the benefits that comes from reading.
Thus, the statement third “by highlighting one of the benefits that comes from reading” is correct.
Learn more about the reading here:
https://brainly.com/question/18589163
#SPJ1
Answer:
C
Step-by-step explanation:
5. A pyramid with a triangular base has a volume of 80 cubic meters and a base
area of 20 square meters. Find the height of the pyramid.
The height of the triangular pyramid will be equal to H=12 feet.
What is a triangular pyramid?A triangular pyramid is a pyramid having triangular faces the other sides of the pyramid are simliar triangles.
It is given that:-
The Volume of the pyramid=80 cubic meters
The Base area of the pyramid=20 square meters
The height of the pyramid=?
We know that the volume of a pyramid is given as:-
V=(1÷3)x Base area x height
V=(1÷3)x20 x H
H=(80x30)÷20
H=12 feet
Hence the height of the triangular pyramid will be equal to H=12 feet.
To know more about pyramid foliow
https://brainly.com/question/218706
#SPJ1
The sales tax rate is 10%. If Matt buys a computer keyboard priced at $34, how much tax
will he pay?
Answer:
$3.40
Step-by-step explanation:
10% of $34
= [tex]\frac{10}{100}[/tex] × $34
= 0.1 × $34
=$3.40
Sadie earns $11.25 per hour. Do her earnings vary inversely or directly with
her number of hours worked? Determine how many hours she worked in a
week if her earnings were $146.25.
Division is one of the four fundamental arithmetic operations. The number of hours Sadie worked to earn $146.25 is 13 hours.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given Sadie earns $11.25 per hour. Therefore, it can be concluded that her earnings vary varies directly with the number of hours she worked.
The number of hours she worked to earn $146.25 is,
The Number of hours = ($146.25)/($11.25) = 13 hours
Hence, the number of hours Sadie worked to earn $146.25 is 13 hours.
Learn more about Division:
https://brainly.com/question/369266
#SPJ1
Coach Bennet’s high school basketball team has 14 players, consisting of six juniors and eight seniors. Coach Bennet must select three players from the team to participate in a summer basketball clinic.
To choose the three players fairly, Coach Bennet decides to set up a free throw contest. The three players who make the most consecutive free throws will get to go to the summer basketball clinic.
How many different orders of top-three finishers are possible?
Drag the tiles to the correct locations on the equation. Not all tiles will be used.
Answer:
nCr = 14!/3!11! =364
Step-by-step explanation
What is the slope of the line that passes through the points (-8, 6) and (-8, 2)?
Write your answer in simplest form.
Answer: Undefined or Vertical Slope.
What is the Area of the circle in pi units if the diameter is 6 cm?
Answer:
9π cm
Step-by-step explanation:
Given diameter of circle (d) = 6cm
radius (r) = d/2 = 6/2 = 3cm
Area of circle = πr²
= π × 3²
= π × 9
= 9π
The area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.
What is the area of the circle?
The area of the circle is the space occupied by it. It is the product of pi and square of its diameter divided by 4. The area of the circle can be given as,
[tex]A=\pi\dfrac{d^2}{4}[/tex]
Here (d) is the diameter of the circle. The diameter of the circle is 6 cm.
[tex]d=6[/tex]
Put this value in the above formula to find the area of the circle as,
[tex]A=\pi\dfrac{6^2}{4}\\A=\pi\dfrac{36}{4}\\A=\pi\times9\\A=9\pi\rm\; cm[/tex]
Thus, the area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.
Learn more about the area of the circle here;
https://brainly.com/question/402655
#SPJ1
6. The circular floor carpet has an area of 484π in? What is the radius of the floor carpet?
The scatterplot represents the total fee for hours renting a bike. The line of best fit for the data is y = 6.855x + 10.215.
A graph shows hours of rental labeled 2 to 6 on the horizontal axis and cost in dollars on the vertical axis. A line increases from 0 to 6.
Which table shows the correct residual values for the data set?
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, 1.22, 1.315, negative 1.99.
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries 2.12, negative 1.575, negative 1.22, negative 1.315, 1.99.
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries 2.12, negative 1.575, 1.22, negative 1.315, 1.99.
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, negative 1.22, 1.315, negative 1.99.
The table shows the correct residual values for the data set regarding the scatterplot is D. A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5.
What is a scatterplot?It should be noted that a scatterplot simply means a type of data display which shows the relationship between the variables.
In this case, the table shows the correct residual values for the data set regarding the scatterplot is a 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5.
The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, negative 1.22, 1.315, negative 1.99.
Learn more about scatter plot on:
https://brainly.com/question/6592115
#SPJ1
Tony walks 1/3 of a mile to school each day. He also walks home from school. How many miles will he have walked in one five-day school week?
Answer:
3 1/3 miles per five day weekJillian and Dawn are playing a game of miniature golf. In this game, the score on a hole is the number of putts it takes to get the ball into the hole. The winner is the player with the lowest score. After playing 18 holes, Jillian’s mean is 2.4 and Dawn’s mean is 3.3. Which explains who won the game?
Jillian won the game because her score varied less than Dawn’s score.
Jillian won the game because the person with the lower mean took fewer putts on average for each hole.
Dawn won the game because the person with the greater mean played better.
Dawn won the game because her mean absolute deviation was less than Jillian’s.
Answer:
Step-by-step explanation:
Discussion
This should be answered with the mean. The lower the mean, the lower the score it took to get the mean. So B is the answer.
IT IS B OK LETS GO YES
Gabriella is playing a board game. The
probability that Gabriella will lose a turn on
her next turn is 0%. Which word or phrase
describes the probability that Gabriella will
lose a turn?
Answer:
Impossible.
Step-by-step explanation:
I learned that you can use the word impossible during one of my math classes, so I chose the word impossible since she cannot lose a turn on her next turn.
Quadrilateral CDEF is similar to quadrilateral GHIJ. Find the measure of side JG.
Round your answer to the nearest tenth if necessary.
Answer: 30.5
Step-by-step explanation:
What is the area of the composite figure?
500
490.62
245.31
745.31
Answer:
745.31
Step-by-step explanation:
20x25=500
(2(12.5)pie)/2=245.435
245.435+500=745.31
please help awnser this question correctly
Aeronautical researchers have developed three different processes to pack a parachute. They want to compare the different processes in terms of time to deploy and reliability. There are 1,200 objects that they can drop with a parachute from a plane. Using a table of random digits, the researchers will randomly place the 1,200 items into three equally sized treatment groups suitable for comparison.
How many unique random numbers need to be selected from the table of random digits?
3
400
800
1,200
The number of unique random numbers that need to be selected from the table of random digits will be A. 3.
What is a random number?It should be noted that a random number simply means a number that occurs when it is impossible to predict it.
From the information given, there are 1200 subjects and there are three treatments. In order to get treatment number, there must be three unique random numbers.
Learn more about random number on:
brainly.com/question/251701
#SPJ1
What is the answer to the problem 20.754 - 14.526
Answer:
6.228
Step-by-step explanation:
Someone please help me!?
Answer:
rise is 11 and run is 2
Step-by-step explanation:
i believe but not fully sure
Answer:
5.5
Step-by-step explanation:
Line is passing through the points (1, 0) and (3, 11)Slope of line [tex]=\frac{11 -0}{3-1}[/tex]Slope of line [tex]=\frac{11}{2}[/tex]Slope of line [tex]=5.5[/tex]
[tex]\log _ { 5 } ( 2 m + 5 ) = 3log5(2m+5)=3[/tex]
solution needed
with briefly explained
Answer:
m = 60
Step-by-step explanation:
log is another way to write an exponent.
Example:
exponent form:
7^2 = 49
log form:
log_7 (49) = 2
In your question, we need to change to exponent form, from log form.
log_5 (2m+5)=3
5 is the base. 3 is the exponent.
Now it can be solved.
5^3 = 2m+5
125 = 2m + 5
120 = 2m
60 = m
line pass through the line (-3, -7.5)tahila determined that the equation of line n is y=0.5x explain the error tahila made while dterming her equation and include the correct equation in your answer
The equation of the line will be (assuming the y-intercept equal to zero):
y = 2.5*x
What is Tahila's mistake?
We know that we have a linear equation of the form:
y = a*x + b
Such that we know that the line passes through (-3, -7.5), notice that the proposed equation is:
y = 0.5*x
If you evaluate that in -3, you get:
y = 0.5*-3 = -1.5
So this line does not pass through (-3, -7.5).
If we assume that b = 0 in the linear equation, then we can find the value of a as:
-7.5 = a*-3
a = 7.5/3 = 2.5
Then the linear equation is:
y = 2.5*x
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
Joseph built a sandbox in his backyard that is 2 meters wide, 4 meters long, and 2 meters tall. What volume of sand does he need to completely fill the sandbox?
A) 20 cubic meters
B) 16 cubic meters
C) 8 cubic meters
D) 12 cubic meters
Answer: B) 16 cubic meters
Step-by-step explanation:
To find the volume of a rectangular prism like this sandbox, multiply the length, height, and width together. 2*2*4 = 16.
Answer:
the answer would be 16 cubic meter because l*w*t which is because l*w*t which is 4*2*2
There are 6 swimmers in a race. In how many ways can they finish in first and second place?
-12
-30
-120
-360
Answer:
step 1. 6x2=12 first place way
step 2. 12×2=24
step 3. 24+6=30 second place way
Consider the following geometric sequence 2,6,18,54
Answer:
Multiply the number by 3 to get the next number.
Step-by-step explanation:
please solve quickly
If a student is selected randomly, the probability that the student is a junior given that the student is male is 14%.
What is the probability?Probability determines the odds that an event would happen. The odds of the event happening lie between 0 and 1.
p (Junior | Males) = number of males that are junior / total number of males
2 / (4 + 6 + 2 + 2 ) = 2/14 x 100 = 14%
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ1
In 2012, the population of all of the people on Earth was approximately seven billion. Write the population in scientific notation.
Answer:
7 × 10^9 (that 9 is a exponent)
Step-by-step explanation:
hELP ME PLSSSSSSSSSSSSSSSS!!!
Bag contains fewer than 90 lollipops it is possible to evenly divide all of the lollipops among 2, or 6, or 7 children. how many lollipops are in the bag? list all possible answers
