Answer:
Step-by-step explanation:
Work for finding the equation, feel free to skip it:
So first off, to write the equation, we will use an equation in slope intercept form: y = mx + b, where y is the numbers of pages she has read, m is the number of pages she reads per hour, x is the number of hours she read, and b is the number of pages she has already read.
To find the slope(The number of pages she reads per hour), we can subtract the number of pages she had read at 2 hours from the number of pages she had read at 4 hours:
297 - 195 = 102.
This tells us she read 102 pages over 2 hours. Thus, over 1 hour, she had read 102/2 = 51 hours. This is m. So our equation so far is y = 51x + b
To find b, we can take 195(the pages she had read after 2 hours), and subtract it by the pages she can read over 2 hours(51 * 2), giving us the amount of pages she had already read(b):
195 - (51*2) = 195 - 102 = 93.
So our equation is:
y = 51x + 93.
Work for finding how many hours it will take Kya to read the whole book:
Y is the total number of pages Kya has read when we plug in x hours. However, if we already know the total number of pages in a book, we can plug in that number for Y, and then solve for x to find how many hours it takes for Kya to read the book:
399 = 51x + 93
Subtracting 93 from both sides gets us:
51x = 306
=
x = 6
This means it takes 6 hours for Kya to read the whole book.
Since Kya has already been reading for 4 hours, the time she has left is:
6-4 = 2
So it takes Kya 2 more hours to finish reading the 399 pages in the book.
Hope this helps!
Are undecidable problems unsolvable?
Therefore , the solution to the given problem of algorithm comes out to be it fall under the category of undecidable questions, which is a subtype of unsolvable problems.
Define algorithm.An algorithm is a process for carrying out a computation or resolving a challenge. Algorithms work as a detailed set of guidelines that lead hardware- or software-based routines through a series of predetermined actions step by step. Algorithms are frequently used in all areas of IT.
Here,
A problem is considered undecidable if there is no algorithm that can be created that will consistently return a true or false answer for each input value.
Only issues that should have a yes-or-no response (such as: does my code contain a bug?) fall under the category of undecidable questions, which is a subtype of unsolvable problems.
Therefore , the solution to the given problem of algorithm comes out to be it fall under the category of undecidable questions, which is a subtype of unsolvable problems.
To know more about algorithm , visit:
https://brainly.com/question/29289479
#SPJ4
Consider the rotation of figure WXYZ shown. Complete the statements about the transformation shown.
Answer:
Can you please show the picture
Step-by-step explanation:
PROBLEM SOLVING Your friend has two standard decks of 52 playing cards and asks you to randomly draw one card from each deck. What is the probability that you will draw two spades
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
We will start by calculating the probability of drawing a spade from one deck, and then square it since we need to get the chance of getting two spades. We know there are 13 spades in a deck, out of 52 cards, giving us:
[tex]\frac{13}{52}[/tex]
Which can be simplified to :
[tex]\frac{1}{4}[/tex]
Then, we will square this fraction since we need two spades in a row:
[tex]\frac{1}{4} * \frac{1}{4} = \frac{1}{16}[/tex]
So the probability is [tex]\frac{1}{16}[/tex].
Hope this helped!
Someone please please help me with both
No links or files
Answer:
the first one is b and the second one is 17 I think
to solve you do the mixed number (4) times the denominator (5) plus the numerator (3)
the researcher administers a survery to 15 students who are seated at the front of the laboratory. how could this study be improved
Pick a random selection of students who attend the work lab.
What is meant by random selection?Picking a random sample of students is the most effective strategy to ensure accurate results. The findings of a survey that the student conducts among those sat in the lab's front rows might be skewed.
The students seated in front of the lab could exhibit a certain trait (e.g., they might be particularly diligent students), which would undoubtedly yield a different outcome. The survey is in good shape. No special equipment is required to evaluate our comprehension of statistical analysis.
Additionally, there won't be much of a difference if more students are included in the sample that are sat in front of the lab. Finally, it makes no sense to administer instruments to a group that does not visit the work laboratory. Effectiveness cannot be evaluated based on students who do not participate in class.
Therefore the correct option is B) Select a random sample of students who go to the work laboratory
The complete question is:
A student researcher wishes to examine the effectiveness of a statistical work laboratory on graduate students' overall understanding of application of statistical analyses. The researcher administers a survey to 15 students who are seated at the front of the laboratory. How could this study be improved? Select all that apply.
A. Use an instrument to test statistical analysis understanding.
B. Select a random sample of students who go to the work laboratory
C. Use a larger sample size.
D. Administer instruments to a group who does not go to the work laboratory, as well.
To learn more about random selection, refer to:
https://brainly.com/question/29348144
#SPJ4
Perimeter > 50 solve please need by tonight
Answer:
Step-by-step explanation:
x + 4 + 2x - 6 + 10 > 50
4 - 6 + 10 = 8
x + 2x = 3x
3x + 8 > 50
Subtract 8 from both sides
3x > 50 - 8
3x > 42
Divide 3 from both sides
42/3 = 14
x > 14
Jessica planted a rosebush in her garden. The rosebush has a height of 30 cm. Each month the rosebush increases by cm. Which equation can be used to determine the height of the plant in centimetres, y, after x months?
A) y = 30 - 6x
B) y = 6x - 30
C) y = 6x + 30
D) y = 6(x - 30)
Answer:
c
Step-by-step explanation:
Jessica planted a rosebush in her garden. The rosebush has a height of 30 cm. Each month the rosebush increases by 6 cm. Which equation can be used to determine the height of the plant in centimetres, y, after x months?
the rate of increase of the bush every month is 6 cm
Rate of increase of the bush in x months = 6x
because the bush increases every month, 6x would be added to 30cm
y = 6x + 30
If the bush decreased at a rate of 6cm every month, the equation would be y = 30 - 6x
A pair of shoes that normally costs $75 is on sale for $55. What is the percent decrease in the price, to the nearest whole percent?
Answer:
100% -> 75
1% -> 0.75
75-55=20
20 ÷ 0.75 =26.666666.........
≈ 27%
slove 37.2 / 4
and give an estimate
Which pairs of events are independent? Select all that apply.
Answer:the last one is right, because you cannot control when rain happens, or where at that matter.
The area of a square is 192 inches. Which of these is closest to the length of each side of the square? (A=s2) Your answer: 13.85 inches 13.91 inches 13.86 inches 13.87 inches
Answer:
13.86
Step-by-step explanation:
it's 13.8564 so it rounds to 13.86
Tyler's fish tank has 14 fish in it. Ten of the fish are orange, and the rest are green.
What is the ratio of orange fish to green fish in the fish tank?
5:2
5:7
2:7
I don't know.
Answer:
Its 10:4 so its 5:2 when dividing
5:2 is the answer
The ratio of orange fish to green fish in the fish tank is given by 5 : 2
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion equation be represented as A
Now , the value of A is
Let the total number of fishes in the fish tank be = 14 fishes
The number of orange fishes = 10 fishes
The number of green fishes = 5 fishes
Now , the ratio of orange fish to green fish in the fish tank is = number of orange fishes / number of green fishes
On simplifying , we get
The ratio of orange fish to green fish in the fish tank is = 10 / 4
The ratio of orange fish to green fish in the fish tank is = 5/2
Hence , the proportion is 5 : 2
To learn more about proportion click :
https://brainly.com/question/7096655
#SPJ3
Simplify the expression.
[tex](1+\frac{x}{y} )(\frac{4y^{2} }{x^{2} -y^{2} } )[/tex]
Answer:
4y / x-y
Step-by-step explanation:
First change 1 to y/y. This allows us to rewrite the first term as a single fraction.
We can also factor the denominator of the second term.
x^2 - y^2 factors into (x - y)(x + y)
The y cancels and also the term x+y cancels. See image.
Write in point-slope form an equation of the line that passes through the point (1, 3) with slope -2
y- ⬜= ⬜(x- ⬜)
Consequently, y-1 = 2 is the point-slope form linear equation for the line passing through (1, 3) and having a slope of 2. (x-3).
A linear equation is defined.A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.
Here,
Y = mx + c in this instance.
(y- y₁) = m(x - x₁)
where,
The coordinate for the x-axis is x and x1,
The coordinate for the y-axis is y and y1.
The slope of the line is m, and
The y-intercept can be represented by the letter c.
Replace the value of the slope and the point in the general equation to obtain the equation for the line passing through (1, 3) and having a slope of 2.
y-1 = 2(x-3) (x-3)
Consequently, y-1 = 2 is the point-slope form equation for the line passing through (1, 3) and having a slope of 2. (x-3).
To know more about linear equation visit:
https://brainly.com/question/11897796
#SPJ1
Which set of side lengths forms a right triangle?
Answer:
11-60-61
Step-by-step explanation:
For right triangle, leg^2+Another leg^2=hypotenuse^2
11^2+60^2=61^2
Answer:
11 inches, 60 inches, 61 inches
Step-by-step explanation:
This is a right triangle, so the Pythagorean Theorem applies.
The Pythagorean Theorem states that the legs of the triangle, 'a' and 'b'—squared—must equal the hypotenuse, squared.
**Hypotenuse: the longest side of a triangle.**
[tex]a^{2} + b^{2} = c^2[/tex]
This sounds a bit complicated, so allow me to explain this to you.
11 and 60: legs of the triangle.
61: hypotenuse
If I were to plug in the numbers into the formula, it would look like this:
[tex]11^2 + 60^2 = 61^2[/tex]
This is the same as:
[tex]11 * 11 + 60 * 60 = 61 * 61[/tex]
[tex]121 + 3600 = 3721[/tex]
If the legs of the triangle, 121 and 3600, have a sum of the hypotenuse, 3721, then these side lengths can form a right triangle.
The other answer choices, however, do not follow the Pythagorean Theorem.
Which of the following is a true statement about the triangle below?
Answer:
It's an acute triangle
Step-by-step explanation:
The vertices are all under 90*
Answer:
It's an acute triangle.
Step-by-step explanation:
all the angles are less than 90.
-1 23/40 = 9/10p
.................................................
Answer:
p = -7/4 or -1 3/4
Step-by-step explanation:
-1 23/40 = 9/10p
-1 23/40 = -63/40
So, our equation is
-63/40 = 9/10p
Divided both sides by 9/10
p = -7/4
So, the answer is
p = -7/4
or
-1 3/4
Evaluate c2 + a if a = 1/2 and c=9
Answer:
Step-by-step explanation:
I assume that you mean c squared o+ 1/2, but without brackets, there are all sorts of possibilities. I'll do the one I think it is first.
c^2 + a
9^2 + 1/2
81 + 1/2
81.5
But it could also be
2* 9 + 1/2
18 1/2
18.5
And to make things worse, it could be
9^( 2 + 1/2)
9^(2.5)
243
In the scale drawing below, 1 cm
represents 2 m.
a) What is the width, in metres, of the
building in real life?
b) The real building is 4.6 m tall. What is
the height of the drawing of the building,
in centimetres?
0
cm
1
2 3 4
5
6
7
8
זייןיייןיי
9 10
A) 13 meters
B) 2.3 centimeters
=================================================
Work Shown:
Part A
The ruler diagram shows the building on paper is 6.5 cm wide. The right side of the building lines up with the midpoint marker between 6 and 7.
1 cm = 2 m
6.5*(1 cm) = 6.5*(2 m)
6.5 cm = 13 m is the width of the building in real life
Or you can solve it like this
(1 cm)/(2 m) = (6.5 cm)/(x meters)
1/2 = 6.5/x
1*x = 2*6.5
x = 13
------------------------
Part B
(1 cm)/(2 m) = (x cm)/(4.6 m)
1/2 = x/4.6
1*4.6 = 2*x
4.6 = 2x
x = 4.6/2
x = 2.3 centimeters is the height of the building in the drawing
What is perimeter also called?
Perimeter is the total length of all sides of a shape, also known as the circumference.
Perimeter is a measure of the distance around a two-dimensional shape. It is the sum of the lengths of all the sides of a shape. Perimeter is also known as the circumference. When calculating perimeter, you measure the length of each side of the shape and add them together. For example, the perimeter of a square with sides of 4 inches each would be 16 inches. Perimeter is an important concept in geometry, and it can be used to calculate area, the space within a shape or figure. It can also be used to calculate the distance between two points. Knowing the perimeter of a shape can help you solve many problems in math, design, and science.
Learn more about perimeter here
https://brainly.com/question/6465134
#SPJ4
What is the slope of the line that passes through the points (-7,-8) and
(-5, 6)?
[tex](\stackrel{x_1}{-7}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{6}-\stackrel{y1}{(-8)}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{(-7)}}} \implies \cfrac{6 +8}{-5 +7} \implies \cfrac{ 14 }{ 2 } \implies \text{\LARGE 7}[/tex]
Consider your construction of pentagon ABCED. What segments, if any, are perpendicular? Explain how you made your determination
Answer:
Sine AB is perpendicular to sides AE and BC/
Step-by-step explanation:
The slope is the change in y over the change in x.
Line segment AE has a slope of 3/4
(0,4)(4,7)
The y values are 7 and 4.
The x values are 4 and 0.
You find the change by subtracting
[tex]\frac{7-4}{4-0}[/tex] = [tex]\frac{3}{4}[/tex]
Line segment BC has the same slope
((3,0)(7,3)
The y values are 3 and 0.
The x values are 7 a d 3.
You find the change by subtracting
[tex]\frac{3-0}{7-3}[/tex] = [tex]\frac{3}{4}[/tex]
Since line segments Ae and BC has the same slope. They are parallel.
Line segments that are perpendicular will have opposite reciprocals slopes. In this case the slope should be - [tex]\frac{4}{3}[/tex].
Let's look at line segment AB
(0,4)(3,0)
The y values are 0 and 4.
The x values are 3 and 0.
You find the change by subtracting
[tex]\frac{0-4}{3-0}[/tex] = [tex]\frac{-4}{3}[/tex]
Since the slopes are opposite reciprocals, side AB is perpendicular to sides AE and BC
which ratios are equivalent to 4: 30
Answer:
8 : 60
12 : 90
16 : 120
20 : 150
24 : 180
Step-by-step explanation:
help with this question
What is the solution to this system of linear equations x − 3y − 2x 3y 16?
solution of the linear equation is x = (2a - 16)/ 3 and y = - (a+16)/ 9
What is linear equation?An algebraic expression that shows a relationship between two variables that have only first order term. One of the main criteria for linear equation is that we get a straight line when plot this equation in a coordinate system.
.
What is the solution of the system of linear equation?we are given, two linear equations x - a -3y = 0
and a - 2x -3y - 16 =0
from the first equation, x = a + 3y
we put the value of x in the second equation, a - 2(a +3y) - 3y -16= 0
a - 2a - 6y - 3y -16 = 0
- a - 9y -16 =0
- (a + 16) = 9y
y = - (a+16) / 9
now we put the value of y in the equation, x = a + 3y
get, x = a+ 3 [ - (a+16)] / 9
x = a + [ - (a+16)] / 3
x = (3a - a -16) / 3
x = (2a - 16)/ 3
To know more about linear equation visit:
https://brainly.com/question/4145514
#SPJ4
What is the equation of the line parallel to the line 3x + 2y = 7 passing through the point (–1 , 3)?
Answer:
idont
Step-by-step explanation:
I need the answer fast please
You have two biased coins. Coin A comes up heads with probability 0. 1. Coin B comes up heads with probability 0. 6. However, you are not sure which is which, so you choose a coin randomly and flip it. If the flip is heads, you guess that the flipped coin is B. Otherwise, you guess that the flipped coin is
As per the given probability, the flipped coin is Coin A.
Probability in math is know as the entire possible set of outcomes of a random experiment is the sample space or the individual space of that experiment.
Here we have given that you have two biased coins. Coin A comes up heads with probability 0. 1 and Coin B comes up heads with probability 0. 6.
Here we know that you are not sure which is which, so you choose a coin randomly and flip it.
As per the given situation here we have to know that if the flip is heads, then you guess that the flipped coin is B.
Which is defined that if the the flip is tails, then you guess that the flipped coin is A.
To know more about probability here.
https://brainly.com/question/11234923
#SPJ4
GAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
Answer:
Step-by-step explanation:
GAAAAAAAAAAAAAAAAAAAAAAAAAA
4. The volume of a cylinder is 9.5 m cube, rounded to the nearest tenth of a cubic
meter. Which diagram shows the cylinder?
====================================================
Explanation:
You'll have to go through each answer choice one by one to check if those dimensions lead to to a volume of roughly 9.5 m^3
For choice A, we have a radius of 0.7/2 = 0.35 meters and a height of 6.2 meters. The volume of the cylinder is pi*r^2*h = 3.14*(0.35)^2*6.2 = 2.38483 which rounds to 2.4 cubic meters. We can rule out choice A because we want 9.5 as a result instead of 2.4
We follow the same steps for choices B through D. You should find that choice D is the answer because:
V = pi*r^2*h = 3.14*(1.4/2)^2*6.2 = 9.53932 which rounds to 9.5 m^3.
Note the 1.4/2 is dividing the diameter 1.4 in half to get the radius.