Answer:
y = -1/5x - 3
Step-by-step explanation:
Question 3
Suppose that we have a 3 ft x 3 ft piece of paper, and we cut out a square piece so that the area of the remaining piece is 5 feet. What is the length of a side of the square?
Answer:
2ft
Step-by-step explanation:
If you have a 3x3 you have a 9ft Sq paper. To have five feet left the removed square must be 4 square feet. 2x2 = 4 therefore 2ft per side
Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for several seconds. The player began counting at 0 seconds even though the video had already played 190 frames The video plays 252525 frames per second. How many frames had the video already played when the time was equal to -3 3/5
Answer:
105 frames
Step-by-step explanation:
Given that 25 frames are played per second
25 frames= 1 sec
The video already played 3 and 2/5 seconds before the player started to count 0
Write 3 and 2/5 seconds as an improper fraction
=(5*3)+2 / 5 = 17/5 seconds
Multiply by 25 frames
17/5 *25 =85 frames
So according to the video counter,after 17/5 seconds,it should count 85 frames.However,at 0 seconds,it indicated a count of 190 frames.Thus,to get the number of frames that were already in count you subtract 85 frames from the 190 frames.
190-85=105 frames.
Step-by-step explanation:
PLS HELP AND GET IT RIGHT IM ACTUALLY FAILING AND DONT WANNA FAIL MORE ITS PYTHAGOREAN THEOREM
Answer:
A = 10
Step-by-step explanation:
Use formula: c = sqrt of a^2 + b^2
1) Put in known numbers:
26 = sqrt of a^2 + 24^2
But instead of adding you would subtract and rearrange the formula bc you already have C:
2) Solve:
A = sqrt of 26^2 - 24^2
A = sqrt of 676 - 576
A = sqrt of 100
A = 10
Sqrt: square root
Therefore, out answer… I hope this helps! Best of Luck! (\^ v ^/)
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 40 inches. Is the result close to the actual weight of 372 pounds? Use a significance level of 0.05.
Answer:
y = 16.3216X - 330.3904
322 pounds;
Result is significant
Step-by-step explanation:
Given the data:
Chest size, x : 41,54,44,55,39,51
Weight, Y : 328,528,418,580,296,503
Using technology, the prediction model obtained by fitting the data is :
y = 16.3216X - 330.3904
Where, x = chest size ; y = weight
The best predicted weight of a bear with chest size of 40 is
Put x = 40 in the equation :
y = 16.3216(40) - 330.3904
Y = 322.4736
Y = 322 pounds
At α = 0.05
The regression Coefficient, R value obtained is 0.986 ; using this to obtain the Pvalue ;
df = n - 1
Pvalue(0.986, 5) = 0.00198
Since, Pvalue < α ; result is significant at α = 0.05
Alex owns 80 orange trees. He has estimated that there are between 35 and 40 oranges on each tree. Which is the closest estimate to the total number of oranges?
Evelyn earned a score of 86 on Exam A that had a mean of 71 and a standard deviation of 20. She is about to take Exam B that has a mean of 550 and a standard deviation of 40. How well must Evelyn score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed.
Answer:
580
Step-by-step explanation:
Assuming that the answer should be in terms of z scores, we can calculate the z score as
z = (observed value - mean)/(standard deviation)
For the first exam, the observed value is 86, the mean is 71, and the standard deviation is 20. The z score fot that exam is
z = (86-71)/20 = 0.75
Then, for the second exam, Evelyn has to do equivalently well, so the z score must be the same. Therefore, we have
0.75 = (observed score - 550)/40
multiply both sides by 40 to remove a denominator
0.75 * 40 = observed score - 550
add 550 to both sides to isolate the observed score
0.75 * 40 + 550 = observed score = 580
Ms. Sutton recorded the word counts and scores of the top ten essays in a timed writing contest. The table shows her data.
A 3-row table with 10 columns. The first row is labeled essay rank with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The second row is labeled essay score with entries 9.7, 9.5, 9.5, 9.0, 8.9, 8.9, 8.5, 8.4, 8.2, 7.0. The third row is labeled word count with entries 324, 352, 337, 318, 299, 304, 290, 291, 278, 250.
How does the word count of an essay relate to its score in the contest?
Word count tends to decrease as the score decreases.
Word count tends to increase as the score decreases.
Word count tends to remain constant as the score decreases.
Word count has no apparent relationship to the score of the essay.
Unmark this question
Answer:
The word count tend to decrease as the score decreases
Step-by-step explanation:
The 3-row table is presented as follows;
[tex]\begin{array}{ccc}Essay \ Rank&Essay \ Score&Word \ Count\\1&9.7&324\\2&9.5&352\\3&9.5&337\\4&9.0&318\\5&8.9&299\\6&8.9&304\\7&8.5&290\\8&8.4&291\\9&8.2&278\\10&7.0&250\end{array}[/tex]
The relationship between the values on the Word Count column and the values on the Essay Score column is that as the Essay Score decreases from the top down to the last row, the values on the Word Count generally decreases in the same manner (top down decrease)
Therefore, the Word Count decreases as the Essay Score decreases.
SOMEBODY GET IT RIGHT FOR ME PLS I NEED HELP ITS PYTHAGOREAN THEOREM
Answer:
a^2+b^2=c^2
a^2=c^2-b^2
a^2=10^2-5^2
a^2=100-25
a^2=75
a=7.7cm
Step-by-step explanation:
what is the diameter of the circle shown?
Answer:
[tex]6\sqrt{2}[/tex]
Step-by-step explanation:
[tex]a^2+b^2=c^2\\36+36 = c^2\\72=c^2\\c = 6\sqrt{2}[/tex]
Answer:
[tex]6\sqrt{2}[/tex] in
Step-by-step explanation:
this triangle is a right isosceles triangle. this means it is also a 45- 45- 90 triangle.
there is a special relation between the sides of a 45 45 90 triangle :
if the legs are 'x' then the hypotenuse is '[tex]x\sqrt{2}[/tex]'
so in this case, the legs are 6 in. the hypotenuse (or diameter of the circle) is
[tex]6\sqrt{2}[/tex]
Make a histogram, using a bin width of ten, to display the bowling scores for these 31 players: 87, 104, 79, 94, 117, 82, 72, 116, 105, 95, 88, 93, 109, 119, 75, 103, 112, 97, 73, 85, 91, 86, 102, 99, 106, 84, 98, 83, 81, 96, 92.
Step-by-step explanation:
Using R, I used the following code to create a histogram:
bowling.scores <- c(87, 104, 79, 94, 117, 82, 72, 116, 105, 95, 88, 93, 109, 119, 75,
103, 112, 97, 73, 85, 91, 86, 102, 99, 106, 84, 98, 83, 81, 96, 92)
data.frame(bowling.scores)
ggplot(data.frame(bowling.scores), aes(x=bowling.scores)) +
xlim(c(70, 120)) +
scale_y_continuous(breaks = seq(0, 10, by=1), "Frequency") +
geom_histogram(breaks=seq(70, 120, by=10), color="black", fill="grey60") +
labs(title="Histogram of Bowling Scores", x="Bowling Scores", y="Frequency")
Kay left her computer running for 2~ days. How many hours did she leave her computer running for?
she left her computer open for 48 hours
Mrs. Sprott is planting a square garden in her backyard. The garden will
measure x feet on each side. Which function will give F(x), the area in
square feet of the garden?
Answer:
The answer the above question is f(x) = x²
Answer:
fdybg
gyani
2574387y
sngsrh
funddhhtffdsdnjjj
Match the place value of each digit in 25.678.
Value: 5
:
Match the items.
a. Ones
b. Thousandths
C. Tens
d. Tenths
e. Hundredths
Match the place value of each digit in 25.678.
Match the place value of each digit in 25.678.Value: 5
5.000= ones......
Answer:
Ones
Step-by-step explanation:
In order the numbers are:
Tens
Ones
Tenths
Hundredths
Thousandths
The point M(-6, -4) is translated 2 units right. What are the coordinates of the resulting point, M′?
Answer:
(-4, -4)
Step-by-step explanation:
On a 2D graph, moving to the right means going up the x axis, to the left means down the x axis, up means up the y axis, and down means down the y axis.
The point is translated 2 units to the right. This means that it is going up the x axis by two units. As it is going up, we can say that it is increasing. Therefore, on a coordinate (x,y), going up the x axis means we add to the x value. For the point (-6, -4), we add 2 to the x value, or -6, to get -6+2 = -4 as our new x value.
Our new end value is (-4, -4)
PLS HELP ME ON THIS QUESTION!!!
Answer:
210 in³
Step-by-step explanation:
length = 10 in
Width = 7 in
Height = 3 in
Volume of rectangular prism = length * width * height
= 10 * 7 * 3
= 210 in³
Answer: Option D
210 in³
Volume of Rectangular prism = lwh
Height = 3in
Width = 7in
Length = 10in
Volume = 10(7)(3)
Volume = 210 in³
Must click thanks and mark brainliest
Out of 120 students in exam, 2/3 of them passed. How many students passed?
Out of 120 students in exam, 2/3 of them passed. How many students passed?
now,
no of students passed = 2/3×120
= 0.66×120
=80...
therefore 80 students were passed....
Answer:
80
Step-by-step explanation:
A Triangle with an area of 24 square feet has a side of length 10 feet. If all 3 sides are even integers, what is the perimeter of the triangle?
Answer:
24 ft
Step-by-step explanation:
so, we don't know anything else about the triangle ?
ok, let's see.
the area of a triangle is (a side length) × (the height from that side to the opposite corner) / 2
At = 24 = side × height / 2
48 = side × height = 10 × height
height = 48/10 = 4.8 = 24/5
let's say that the height on our known side splits this side into 2 parts, p and q (p+q = 10).
we can calculate the triangle side on the right hand side of our know side by calling it a and using Pythagoras :
a² = height² + q² = (4.8)² + q² = 23.04 + q²
as all sides have to be even integers, a² has to be an even square number larger than 23.04.
and because p+q = 10, we know q must be smaller than 10, and therefore q² smaller than 100.
the only candidates for a² are therefore 36 and 64 (6² and 8²).
in a similar way this applies to the left hand triangle side b tool.
b² = height² + p² = 23.04 + p²
with the same restrictions and possible solutions as a².
we have the possibilities that a = b = 6 or 8, or a = 6 and b = 8 (or vice versa).
let's rule out a=b :
a=b wound also mean p=q=5
then
a² = 23.04 + 5² = 23.04 + 25 = 48.04, which is not an even square integer. therefore, this assumption is wrong.
so, the only possible solution is a = 6 and b = 8 (or vice versa, but it did not matter which is which, as we only need the perimeter, which would be the same either way).
proof :
36 = 23.04 + 12.96 = 23.04 + q²
=> q = 3.6 ft
64 = 23.04 + 40.96 = 23.04 + p²
=> p = 6.4 ft
p+q = 3.6 + 6.4 = 10 ft
perfect, it fits, this is the correct solution
so, the perimeter of the triangle is
10 + 6 + 8 = 24 ft
the width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.
Answer:
Width: 160
Length: 80
Step-by-step explanation:
Width = 2x and length = x
X + 0.5x + 2x - 0.4x = 248
3.1x = 248
X = 248/3.1
X = 80
Width = (2)(80) and length = 80
if x =2 y =3 find the value of x^2-xy^2+y^2
Answer:
i hope it will help
Step-by-step explanation:
I did not get the equation so I solve it with two methods
Find the value of x.
A. 176
B. 256
C. 74
D. 128
Answer: D
Step-by-step explanation: Using the angle formed by two chords theorem, angle X is equal to 1/2 times the sum of the degree measures of the two arcs.
The angle x will be equal to 128 degrees. The correct answer is option D.
What are the Angles of Intersecting Chords Theorem?When two chords cross inside of a circle, the resulting angle's measure is equal to the product of the lengths of the arcs it intercepts and its vertical angle, divided by two.
The angle x will be calculated as below:-
Angle x = Sum of angles made by two intersecting chords / 2
Angle x = ( 54 + 202 ) / 2
Angle x = ( 256 / 2 )
Angle x = 128 degrees
Therefore, the angle x will be equal to 128 degrees. The correct answer is option D.
To know more about the Intersecting Chords Theorem follow
https://brainly.com/question/23732231
#SPJ5
Find the value of x for which ABCD must be a parallelogram
a. 0
b. 25
c. 4
d. 7
Answer:
d. 7
Step-by-step explanation:
A parallelogram has equal opposite sides that are parallel to each other. Therefore, opposite interior angles would be congruent to each other.
Thus:
3x - 17 = 25 - 3x
Add 3x from each side
3x - 17 + 3x = 25 - 3x + 3x
6x - 17 = 25
Add 17 to both sides
6x - 17 + 17 = 25 + 17
6x = 42
Divide both sides by 6
6x/6 = 42/6
x = 7
1.2 m
1.2 m
Susie is 1.13 metres tall
She has a play tent in the shape of a triangular prism.
The diagram shows the front view of the tent.
The front of the tent has been drawn to scale below.
a) Complete the scale drawing.
1.5m
Not drawn accurately
b) Can Susie stand up in the
middle of the tent?
1.5m
Scale: 1 cm represents 60 cm
Split the triangle into 2 right in the middle so you have 2 identical right triangles. The base on one would be half the base of the triangle shown so, the base would be: 1.5/2 = 0.75 m.
Now using the Pythagorean theorem you can find the height:
Height - sqrt(1.2^2 - 0.75^2)
Height = sqrt(1.44 - 0.5625)
Height = sqrt(0.8775)
Height = 0.93675 meters
The height of the tent is smaller than the height of Suzie so she cannot stand up.
Solve the system of equations:
v=2x-4
y=x2 - 4
The choose (D)
(0,-4) and (2,0)
Which is an exponential decay function
Answer:
Letter A is your answer
Step-by-step explanation:
mark me brainliest
Need help please with the step by step explanation
Answer:
exponential decay (0,8)
Step-by-step explanation:
Which table of ordered pairs represents a proportional relationship?
plss help!
The measure of an exterior angle of a triangle is equal to the sum of the measure of the two ______ interior angles.
Fill in the blank question.
Please help.
Answer:
Step-by-step explanation:
The measure of an exterior angle of a triangle is equal to the sum of the measure of the two opposite interior angles.
Subject: Finding Range Using a Graph
In 10 words or fewer, what numbers do you think are in the range of f(x)?
Answer:
4.7
Step-by-step explanation:
The red I think is hinting to the x.
geometry: follow directions below for each figure. Show steps. Circle answers. find the area of each figure.
HELP ASAP!!!!
THANK YOUUUUU
Answer:
575sq. ft
Step-by-step explanation:
The diagram given can be divided into two rectangles.
Area of a rectangle = length * width
Area of the larger rectangle = 15 * (45 - 10)
Area of the larger rectangle = 15 * 35
Area of the larger rectangle = 525sq. ft
Area of the smaller rectangle = 5 * 10
Area of the smaller rectangle = 50 sq. ft
Area of the room = 525 + 50
Area of the room = 575sq. ft
Plzzz Help!
Determine the recursive function that defines the sequence.
Answer:
A
Step-by-step explanation:
The recursive rule allows any term to be found by multiplying the previous term by the common ratio r
Here r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{20}{4}[/tex] = 5
Then
f(n) = 5 . f(n - 1) , for n ≥ 2 → A
