Answer:
Length of diagonal paper is 5.15 inch.
Step-by-step explanation:
Please refer to the images attached.
As per the cylindrical image, we have radius given as 2 inches.
Height as 3.5 inches - 0.25 inches = 3.25 inches
If we look closely, we actually have a right angled triangle whose
Base = 2+2 = 4 inches
Height = 3.25 inches
And we have to find the hypotenuse of triangle:
According to pythagoras theorem:
[tex]Hypotenuse^{2} = Base^{2} + Height^{2}[/tex]
[tex]\text{ Diagonal}^{2} = 4^{2} + 3.25^{2}\\\Rightarrow 16 + 10.5625\\\Rightarrow 26.5625\\\Rightarrow \text{Diagonal = }5.15\ inch[/tex]
Hence, Length of diagonal paper required is 5.15 inch.
Write an equation of the line that passes through (−1, 3) and is perpendicular to the line y=1/9x−1.
Answer:
Step-by-step explanation:
General equation of line
y = mx + c
m is slope
y = (1/9)x - 1
1/9 is slope
Since the other line that passes through the point is perpendicular, the product of both slopes is -1
1/9 * m = -1
m = -9
Using point-slope method
y-y1 = m(x-x1)
y-3 = -9(x-(-1))
y-3 = -9(x + 1)
y-3 = -9x -9
y = -9x-6
will give 100 pts again.
Sari applied the distributive property using the greatest common factor to determine the expression that is equivalent to 84 + 40. Her work is shown below. Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40 84 + 40 = 2(42 + 20) What statement best describes Sari’s error?
Answer: She did not use the factors in correct order therefore she is inncorrects
Step-by-step explanation: I got it right on edge
Answer:
Sari did not use the greatest common factor in the equation.
Step-by-step explanation:
The standard New York state license plate has three letters followed by four digits. How many different
license plates are possible if the digits can't be repeated and letters can be repeated?
a
1,560,000 possible license plates
175,760,000 possible license plates
88,583,040 possible license plates
90,283,340 possible license plates
с
d
Answer:
175,760,000 possible license plates
Step-by-step explanation:
There are 3 spots where there are 26 choices each
= 26 ^3
and 4 spots where there are 10 choices each (the digits 0 through 9,
= 10 ^4
This gives:
26^3*10^4=175,760,000
Hope this Helps...!!
Find the equation of the circle that is shifted 5 units to the left and 2 units down from the circle with the equation x² + y2 = 19.
A. (x - 5)2 + (x - 2)2 = V1
B. (x + 5)2 + (x - 2)2 = 19
C. (x + 2)2 ++5)= 19
D. (+52 + (y + 2)2 = 19
please help , 20 points
Answer:
C
Step-by-step explanation:
10% as a decimal is .10, or .1. This has to be added to the original wage, 1 (100%) so its 1.1
A batter hits a fly ball. a scout in the stands makes the following observations. TIME (SECONDS) .75 1.5 2 2.75 3.25 4.75 HEIGHT (FEET) 77 133 160 187 194 169 What type of function that best models this data. use a graphing calculator to perform the regression for the best fit equation. write the resulting equation below, rounding to the nearest hundredth. determine the initial velocity of the baseball and the height of the ball when hit. round to the nearest hundredth. calculate how many seconds an outfielder has to position himself for the catch if he intends to catch the ball 6 feet above the ground. show your work and round to the nearest hundredth.
Answer:
y = -15.9x² + 110.48x + 3.02
initial velocity: 110.48 ft/s
initial height: 3.02 ft
time to cath the ball at 6 ft: 6.92
Step-by-step explanation:
In the picture attached, the plot of the data points and the equation of the best regression is shown, which correspond to a quadratic equation. (It was obtained using Excel)
The initial velocity is the second coefficient.
The initial height is the third coefficient.
Replacing y = 6 into the equation and solving with the quadratic formula:
6 = -15.9x² + 110.48x + 3.02
0 = -15.9x² + 110.48x + 3.02 - 6
0 = -15.9x² + 110.48x - 2.98
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex]x = \frac{-110.48 \pm \sqrt{110.48^2 - 4(-15.9)(-2.98)}}{2(-15.9)} [/tex]
[tex]x = \frac{-110.48 \pm 109.62}{-31.8} [/tex]
[tex]x_1 = \frac{-110.48 + 109.62}{-31.8} [/tex]
[tex]x_1 = 0.03[/tex]
[tex]x_2 = \frac{-110.48 - 109.62}{-31.8} [/tex]
[tex]x_2 = 6.92[/tex]
In the context of the problem, only x2 has sense.
Ms. Nellies has 2 1/2 pints of vinegar for her students to use in a science experiment. Each
group of students needs 3/8 pint of vinegar. Trey draws the number line model and writes the
equation below to help Ms. Nellies figure out how many 3/8-pint servings of vinegar she has.
Are Trey's number line model and equation correct?
Answer:
Trey's number line model is incorrect because it represents the expression 2 1/2 / 3/4. The correct equation is 2 1/2 / 3/8 = 6 2/3. Ms. Nellies has enough vinegar for 6 groups of students.
Answer:
incorrect
wrong equation 2 1/2 / 3/4
correct equation 2 1/2 / 3/8 = 6 2/3
6 groups of students.
Step-by-step explanation:
11. Dr. Lamb is mixing a solution for his next patient. He has a cylindrical beaker
which is 4 inches across on the inside. The depth of the beaker is 9 inches. If 1
cubic inch of space holds 16.38 milliliters of water, about how many milliliters of
water will the beaker hold?
Answer:
34.35 liters
Step-by-step explanation:
Suppose f(x) = x2. What is the graph of g(x)= 1/3f(x)
Answer:
Step-by-step explanation:
The graph of f(x) = x^2 is a parabola opening up and with vertex at (0, 0).
The graph of (1/3)f(x) is also a parabola that opens up and has vertex at (0, 0), but this new graph has been vertically compressed by a factor of 3.
The graph of g(x) = 1/3 f(x) is parabola. (as shown in the following image.)
What is the graph of a function?"The graph of a function f is the set of all points in the plane of the form (x, f(x))."
For given example,
f(x) = x²
The graph of a function f(x) would be a parabola with vertex at origin (0, 0).
And g(x) = 1/3 f(x)
⇒ g(x) = 1/3 (x²)
We know, the greater the quadratic coefficient, the narrower the parabola and the lesser the quadratic coefficient, the wider the parabola.
Since for a parabola g(x) the quadratic coefficient is 1/3.
This means the parabola g(x) is wider than the parabola f(x)
So, the graph of g(x) is the graph of f(x) scaled by 1/3 units.
The graph of g(x) is parabola (as shown in following figure)
Learn more about the graph of the function here:
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What is the distance between points A(1,9) and B(4, -2)?
Find the 91st term of the arithmetic sequence 5, -14, -33, ...
Answer:
a(91) = -1705
Step-by-step explanation:
Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).
Thus, the 91st term is a(91) = 5 - 19(91 - 1), or
a(91) = 5 - 1710, or
a(91) = -1705
The 91st term of the arithmetic sequence is -1705.
What is Arithmetic progression?An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant.
Given that an arithmetic sequence 5, -14, -33, ...
nth term of an AP is, a(n) = a + (n-1)d
Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).
Thus, the 91st term is
a(91) = 5 - 19(91 - 1)
a(91) = 5 - 1710
a(91) = -1705
Hence, The 91st term of the arithmetic sequence is -1705.
For more references on arithmetic sequence, click;
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In a board game, when you land on a specific square, you must roll a die. If the result is an odd number, you receive four times the result, in dollars. If the result is even, you must pay five times the result, in dollars.
Determine the expectation.
a. 5 - 4
b. 4 x ( 1 + 3 + 5) x 1/2 - 5 ( 2 + 4 + 6) x 1/2
c. 0
d. 5 x 1/2 - 4 x 1/2
Answer:
Option B is correct.
It represents exactly the expectation.
Hope this helps!
:)
Answer:
The answer is B
STEP BY STEP EXPLANATION BOIZ:
if its an odd number four times the result = 4 x (1 + 3 + 5)
If result is even you must pay five times the result = 5(2 + 4 + 6)
So 4 x (1 + 3 + 5) x 1/2 - 5(2+4+6) x 1/2 is the answer
Hope dis helped :3 o(*￣▽￣*)ブ
just help me plssssssssss
Answer:
The perimeter of triangle is 30ft.
Step-by-step explanation:
First you have to find the value of a using Pythogoras Theorem, a² + b² = c² where a and b is the sides and c is the hypotenuse :
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]
Let b = 12,
Let c = 13,
[tex]a = \sqrt{ {13}^{2} - 12 {?}^{2} } [/tex]
[tex]a = \sqrt{25} [/tex]
[tex]a = 5feet[/tex]
Next you have to find the perimeter of triangle by adding all the sides together :
[tex]perimeter = 5 + 12 + 13[/tex]
[tex]perimeter = 30feet[/tex]
Megan has a bag containing 5 pink marbles, 3 orange marbles, 6 green marbles, and 2 yellow marbles.
Megan started to develop a probability model. Here is the sample space.
S = {P, P, P, P, P, O, O, O, G, G, G, G, G, G, Y, Y}
Part A
put in order where it would go on the table 2/16, 3/16, 5/16, 6/16
Help Megan complete the model by assigning probabilities to the four listed events. Drag each fraction to the correct probability.
Part B
Suppose Megan drew a marble 80 times. Estimate how many times she should expect to draw an orange marble. Megan would draw an orange marble ____
times.
Step-by-step explanation:
To find the probability
Total marbles = 5 + 3 + 6 + 2 = 16
P pink = 5/ 16
P orange = 3/16
P green = 6/ 16 = 3/8
P yellow = 2/16 = 1/8
Part B when we divide 80 by 16 = 5
So she drew every marble 5 times
So 3 x 5 = 15
She drew the orange marble 15 times
What’s this answer?
Answer:
x=2, y=1
Step-by-step explanation:
The left and right sides are equal
7x-2 = 5x+2
Subtract 5x from each side
7x -5x-2 = 5x-5x+2
2x-2 = 2
Add 2 to each side
2x -2+2 = 2+2
2x = 4
Divide by 2
2x/2 = 4/2
x =2
The top and the bottom are the same length
6x+y = 7x-1
6(2) +y = 7(2)-1
12 +y = 14-1
Subtract 12 from each side
12 +y-12 = 13-12
y = 1
In the diagram shown, 4 24, and 22 = 23. The sum of the measures of the four
angles is 120°. The measure of 22 is 10° less than the measure of 4. What is the
combined measure of angles 1, 2 and 3?
A. 85°
B. 95°
C. 105
D. 115°
Which of the following equations have infinitely many solutions?
Choose all answers that apply:
46x - 23 = 46x + 23
-46x + 23 = 46x + 23
46x + 23 = 46x +23
-46x - 23 = 46x + 23
Answer:
46x + 23 = 46x +23
Step-by-step explanation:
46x - 23 = 46x + 23
Subtract 46x from each side
-23 = 23
This is not true so there are no solutions
-46x + 23 = 46x + 23
Add 46x to each side
23 = 96x +23
Subtract 23 from each side
0 = 96x
x=0 one solution
46x + 23 = 46x +23
Subtract 46x from each side
23 = 23
This is always true so there are infinite solutions
-46x - 23 = 46x + 23
add 46x to each side
-23 = 96x +23
subtract 23 from each side
-46 = 96x
x = -1/2
When using an equivalent fraction to find the percent , why do u write 100 as the denominator?
Answer:
This is because It is easy to convert a fraction to a percent when the denominator is 100. If a fraction does not have a denominator of 100, you can convert it to an equivalent fraction with a denominator of 100, and then write the equivalent fraction as a percent.
Step-by-step explanation:
What is the length of the hypotenuse of a triangle with the points (0,k), (0,0) and (2k, 0)?
What is the solution to the inequality |X-4 <3?
0 -7
O 1
X<-7 or x<-1
O x> 1 or x<7
Answer:
|X - 4| < 3 is equivalent to 1 < X < 7.
Step-by-step explanation:
Given
|X - 4| < 3
Required
Solution of the inequality
The options are not properly presented. However, I'll solve the question without considering the options.
To simplify the given inequality, it's worth knowing that the absolute function of any inequality returns the positive form of any value it takes (whether negative or positive).
Since, we've understood that the absolute can take negative of positive, the above inequality can take the following form
-3 < X - 4 < 3
Add 4 through
4 - 3 < X - 4 + 4 < 3 + 4
1 < X < 7.
Hence, |X - 4| < 3 is equivalent to 1 < X < 7.
Virtual Nerd™: How Do You Use a Tree Diagram to Count the Number of Outcomes in a Sample Space?
Answer:
We use tree diagram by connecting relevant samples
Step-by-step explanation:
thats all
Find the volume of the rectangular prism
A) 19 in3
B) 57 in3
C) 144 in3
D) 288 in3
Answer:
C) 144 in3
Step-by-step explanation:
Area of rectangular prism = lwh
8*9*2 = 144
Raffle tickets are being sold for a fundraiser. The function a(n) relates the
amount of money raised to the number of tickets sold, n.
It takes as input the number of tickets sold and returns as output the amount
of money raised.
a(n) = 3n - 25
Which equation represents the inverse function n(a), which takes the money
raised as input and returns the number of tickets sold as output?
Answer:
If the function is
A(n) = 4n -25
and we wish to get the inverse function N(a)
We let
A(n) = a
n = N(a)
Plugging in the values
a = 4 N(a) - 25
Arranging the equation:
4 N(a) = a + 25
N(a) = (a + 25) /4
The answer is
N(a) = (a + 25) /4
Step-by-step explanation:
The inverse function of a(n) = 3n - 15 is n(a) = 5 + a/3.
What is an inverse function?An inverse function exists a function that undoes the action of another function. A function g exists as the inverse of a function f if whenever
y = f(x) then x = g(y).
We have:
a(n) = 3n - 15
Rewrite the above equation as
a = 3n - 15
Add 15 to both sides of the equation
3n = 15 + a
Divide through by 3, we get
n = 5 + a/3
Express as function then, we get
n(a) = 5 + a/3
Hence, the inverse function is n(a) = 5 + a/3.
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evaluate this expression:
(1/5 x 5) ^5
Answer:
The answer is x ^5
Doug purchased land for $8,000 in 1995. The year value of the land depreciated by 4% each year thereafter. Use an exponential function to find the approximate value of the land in 2002.
Answer:
Option C. $6,012
Step-by-step explanation:
we know that
The formula to calculate the depreciated value is equal to
[tex]V=P(1-r)^{t}[/tex]
where
V is the the depreciated value
P is the original value
r is the rate of depreciation in decimal
t is Number of Time Periods
in this problem we have
t = 7 years
P = $8,000
r = 0.04
substitute in the formula above
[tex]V = 8,000(1-0.04)^{7} = 6,012[/tex]
Hope this helps :)
Lines AB and CD are parallel. If 2 measures (3x - 33)°, and 4 measures 147°, what is the value of x?
Consider the formula d = , where
d represents density,
• m represents mass and has units of kilograms (kg), and
V represents volume and has units of cubic meters (mº).
Select an appropriate measurement unit for density.
Answer:
kg/ m³
Step-by-step explanation:
Since density is= [tex] \frac{mass}{volume} [/tex], where mass is in kg and volume is in cm³, the unit of density would follow so it is kg/m³.
Find the value of the missing angle. Will mark brainliest.
Answer:
100
Step-by-step explanation:
Because adjacent angles in a parallelogram are supplementary, angle 1 and 80 must add up to 180 degrees. Therefore, angle 1 is 180-80=100 degrees. Hope this helps!
Answer:
100
Step-by-step explanation:
Hope this helped!
someone help ples alk i need is the first two pleassss
Answer:
x values: 5, 10, 15, 20, 25
y values: 7, 14, 21, 28, 35
Step-by-step explanation:
Daryl performs an experiment where he rolls a number cube 25 times and records the results. Three of the trials
resorted in a 1 being rolled. What can be said about the experimental and theoretical probability of rolling a one?
A. The experimental probability is greater than the theoretical probability.
B. The theoretical probability is greater than the experimental probability.
C The theoretical probability is equal to the experimental probability.
D. Nothing can be said to relate the two, because the number of trials was too small
Answer: it’s B
Step-by-step explanation:
I just took the test
