Answer:
The ANOVA table and the solution are attached below
Please help.
Thank you.
Answer:
The first option is not a function
Explanation:
A function is where there is no repeated x values
Just a reminder
if a cube measures 5.3 cm on each side and has a mass of 280 grams how much is its volume
Answer:
8.1 g/cm
Step-by-step explanation:
The picture shows a cement bag of weight Fg hanging from a rope which itself is supported by two other ropes attached to a ceiling. The latter two ropes make an angle θ1 and θ2 with the ceiling. Determine the tension in each rope. Use the angle addition identity to simplify your result: sin(α ± β) = sin α cos β ± cos α sin β
Answer:
[tex]T_1= \dfrac{F_gcos \theta_2}{sin (\theta_1+\theta_2)}[/tex]
Step-by-step explanation:
From the free body diagram attached below; we will see that
T₃ = Fg ------ (1)
Thus; as the system is in equilibrium, the net force in the x and y direction shows to be zero
Then;
[tex]\sum F_x= 0 \to T_2 Cos \theta _2 - T_1 cos \theta _1[/tex]
[tex]T_2 Cos \theta _2 = T_1 cos \theta _1 \ \ \ \ \ - - - (2)[/tex]
Also;
[tex]\sum F_y =0 \to T_2sin \theta_2+T_1sin \theta_1 - T_3 = 0[/tex]
[tex]T_3 = T_2sin \theta_2+T_1sin \theta_1[/tex] ---- (3)
From equation (2):
[tex]T_2 = \dfrac{T_1cos \theta_1}{cos \theta_2}[/tex]
Replacing the above value for T₂ into equation 3; we have
[tex]T_3 = \dfrac{T_1cos \theta_1}{cos \theta_2}sin \theta_2+T_1sin \theta_1[/tex]
[tex]T_3 cos \theta_2 = {T_1cos \theta_1}{}sin \theta_2+T_1sin \theta_1 cos \theta_2[/tex]
[tex]T_3 cos \theta_2 = T_1(cos \theta_1 sin \theta_2+sin \theta_1 cos \theta_2)[/tex] ---- (4)
Using trigonometric identity Sin (A+B) = SIn A cos B + Cos A sin B
So ; equation 4 can now be:
[tex]T_3 cos \theta_2 = T_1sin(\theta _1 + \theta_2)[/tex] --- (5)
replacing equation (1) into equation (5) ; we have:
[tex]F_g}cos \theta_2 =T_1 sin (\theta_1+\theta_2)[/tex]
Hence; the tension in the string is:
[tex]T_1= \dfrac{F_gcos \theta_2}{sin (\theta_1+\theta_2)}[/tex]
evaluate one third of the sum of 15 and 6
Answer:
7
Step-by-step explanation:
15 plus 6 equals 21
21 divided by 3 is 7
Answer:7
Step-by-step explanation:
sum of 15 and 6
15+6=21
1/3 Of The sum
1/3 of 21
1/3 x 21
(1x21)/3
21/3=7
Which value can be added to the set below without changing its mean?
{4, 10, 14, 18, 22, 22}
оооо
What’s the answer ahhhhhh
Answer:
0 because it has no value.
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
The mean of the first set is 15. If you add 15 to the set then it will equal 105. Then divide by 7 and then you get 15.
Hope this helps.
what is the equation of the line in slope-intercept form?
Answer:
y = 5x
Step-by-step explanation:
Slope intercept form is y = mx + b
m is the slope
m = 5 on this graph
b is the y intercept which is 0 on this graph
Need help with this..
Answer:
Step-by-step explanation:
m4 + m3 = 180 (Supplementary angle on 1 line)
m6 +m3 = 180 (Supplementary angle)
-> m6=m4
-> x+80 = 4x-10
-> 90 = 3x
-> x = 30
-> m6=m4 = 80+30 = 110
...
m1+m4 = 180 (Supplementary angle on 1 line)
-> m1 = 180 -110 = 70
From a class of 25 students how many group of 4
Answer: Well, 4 groups of four, and roughly 6 student in a group
Step-by-step explanation:
The question is not clear, but 25 divided by 4 is 6.25, but it’s students so 6 or 7.
Find the axis of symmetry and the vertex of the graph of f(x)=x^2+8x+10
Answer:
Axis of Symmetry: x = -4
Vertex: ( -4, -6 )
Step-by-step explanation:
~ Part I ~
1. To find the axis of symmetry, rewrite y = x^2 + 8x + 10 in the parabola standard form ( 4p( y - k ) = ( x - h) ^2 for an up-down facing parabola at vertex ( h, k ) and a focal length |p|) ⇒ 4 * 1/4 ( y - ( - 6 ) ) = ( x - ( - 4 ) )^2
2. Therefore the parabola properties are ⇒ ( h, k ) = ( - 4, -6 ), p = 1/4
3. Answer: x = -4
~ Part II ~
1. From the previous question, we got that the vertex should be ⇒ ( -4, -6 )
2. Answer: ( -4, -6 )
Which rectangular prism will have the largest volume
Answer:
You need to attach a picture or something.
Answer:
8
Step-by-step explanation:
what is the sum of 21 and 5 times a number f is 61
Answer:
f = 8
Step-by-step explanation:
21 + 5f = 61
5f = 61 - 21
f = (61 - 21) / 5
f = 8
Answer:
f = 8
Step-by-step explanation:
"Sum" = addition
"Times" = multiplication
Write an equation to represent this scenario
21 + 5 * f = 61
Multiply 5 by f
21 + 5f = 61
Subtract 21 from both sides of the equation
5f = 40
Divide both sides of the equation by 5
f = 8
Hope this helps :)
Prendendo come esempio la porta disegnata da un tuo compagno, dimmi quanta vernice ti serve per dare due mani alla porta.
Sapendo che un barattolo contiene 0,75 litri di vernice e che si verniciano circa 9mq, quante porte come quella nel disegno riesci a verniciare?
Answer:
english please
Step-by-step explanation:
Answer:
English plz
Step-by-step explanation:
This object is made with five identical cubes. each cube edge if 4 centimeters long, What is the surface area of this object in square centimeters.
Answer:
480 cm ^ 2
Step-by-step explanation:
To calculate the surface area of the figure, we must calculate the surface area of the cube, we know that they are identical, therefore, calculating the area of one is sufficient.
We have that the surface area of a cube is:
A = 6 * a ^ 2
where a is the edge, we know that if it is a cube all its sides are equal, in this case it is 4 centimeters, if we replace we have:
A = 6 * (4 ^ 2)
A = 96
96 square centimeters is the area of a cube, but since the area of the object would be the sum of the area of all the cubes, then:
AT = 96 * 5
AT = 480 cm ^ 2
The surface area of the object formed with the cubes is 480 cm ^ 2
What is the solution to the equation StartFraction m Over m + 4 EndFraction + StartFraction 4 Over 4 minus m EndFraction = StartFraction m squared Over m squared minus 16 EndFraction?
Answer: m = -2.
The given equation is: [tex]\frac{m}{m+4}+\frac{4}{4-m}=\frac{m^{2}}{m^{2}-16}[/tex].
The LCM of the denominators = [tex]m^{2}-16=(m+4)(m-4)[/tex].
We multiply both sides by LCM.
[tex]\left(m+4\right)\left(m-4\right)\left(\frac{m}{m+4}+\frac{4}{4-m}\right)=\left(m+4\right)\left(m-4\right)\cdot\frac{m^{2}}{m^{2}-16}[/tex]
[tex]m\left(m-4\right)-4\left(m+4\right)=m^{2}[/tex]
[tex]m^{2}-4m-4m-16=m^{2}[/tex]
[tex]8m=-16\\m=-2[/tex]
Learn more: https://brainly.com/question/13769924
Answer:
M=-2 B
Step-by-step explanation:
trust me i took the quiz
A large trucking company wants to estimate the proportion of its tracker truck population with refrigerated carrier capacity. A random sample of 200 tracker trucks is taken and 30% of the sample have refrigerated carrier capacity. The 95% confidence interval to estimate the population proportion is _______.
Answer:
The 95% confidence interval to estimate the population proportion is (0.2365, 0.3635).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 200, \pi = 0.3[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3 - 1.96\sqrt{\frac{0.3*0.7}{200}} = 0.2365[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3 + 1.96\sqrt{\frac{0.3*0.7}{200}} = 0.3635[/tex]
The 95% confidence interval to estimate the population proportion is (0.2365, 0.3635).
The area of Jamie's square backyard is 64 square meters. What is the length of one side of Jamie's backyard? Please Answer this asap bc I have to get this turned in, in about 10 mins please hurry
Answer:
8 meters
Step-by-step explanation:
Since the 4 sides of a square are all equal, the area of a square can be found using:
a=s*s or
a=s^2
We know that the area is 64 square meters, so we can substitute 64 in for a
64=s^2
We are trying to find a side, s, so we have to get s by itself. Since s is being squared, take the square root of both sides. This will cancel out the exponent, and leave s by itself.
[tex]\sqrt{64}=\sqrt{s^2}[/tex]
8=s
So, one side of the backyard is 8 meters
How do you describe the translation (x, y) → (x + 3, y - 7) in words?
Answer:
You move right 3, and down 7
A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the edge of the wheel?
In one revolution of the wheel, a point on the edge travels a distance equal to the circumference of the wheel.
The wheel has radius 1 ft, so its circumference is 2π (1 ft) = 2π ft.
Then the point has a linear speed of
(1/4 rev/s) * (2π ft/rev) = 2π/4 ft/s = π/2 ft/s
The linear velocity of a point on the edge of the wheel is π/2 feet per second.
In this case, the wheel has a radius of 1 foot and makes 1 revolution in 4 seconds.
The circumference of a circle is given by the formula
C = 2πr, where r is the radius of the circle.
So, the circumference of the wheel is 2π(1) = 2π feet.
Now, the linear velocity of the point on the edge of the wheel is the distance traveled (circumference) divided by the time taken, which is:
Linear velocity = Circumference / Time = 2π feet / 4 seconds
Linear velocity = π/2 feet per second
So, the linear velocity of a point on the edge of the wheel is π/2 feet per second.
Learn more about Circumference of circle here:
https://brainly.com/question/17130827
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Lola has h hats. Polly has triple as many hats as Lola. Darla has eight less hats than Polly.
a. Write an expression for how many hats each person has in terms of h.
Answer:
number of Lola hats = h
number of Polly hats = 3h
number of Darla hats = 3h - 8
Step-by-step explanation:
Lola has h number of hats . Polly has triple as many as Lola . Then Darla has eight number of hat less than Polly. The expression for how many hat each person has in terms of h can be express below.
Let
number of Lola hats = h
number of Polly hats = 3h (recall Polly has triple as many as Lola)
number of Darla hats = 3h - 8(Note Darla has 8 number less of hats than Polly who already have 3h number of hats)
The simplest way to explain this is that Lola has h number of hats. This means she has h number of hats .Polly has triple of Lola hats, this implies that 3 times h of Lola hats is Polly hats. Then finally Darla hats is 8 less than Polly hats. This simply means if you subtract 8 from Polly's hats you have gotten Darla's hats.
What is the value of x in the equation below? Negative 3 minus (negative 8) minus (negative 2) = x
Answer:7
Step-by-step explanation:
-3-(-8)-(-2)=x
-3+8+2=x
-3+10=x
7=x
x=7
expand and simplify (2x-1)(x-3)
Answer:
Expand the polynomial using the FOIL method.
2 x 2 − 7 x + 3
Step-by-step explanation:
A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial, Outer means multiply the outermost terms in the product, Inner means multiply the innermost terms, and Last means multiply the terms which occur last in each binomial.
An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.
Molly wants to buy a skirt. The original price was $40.The skirt is on sale for 12% off. When she goes to pay for it the cashier tells her she can have an additional 13% discount off the sale price, how much will Molly pay for the skirt?
Answer:
$30.62
Step-by-step explanation:
12% of 40 is 4.8
(10% is 4, 2% is 0.8)
40- 4.8= 35.2
13% of 35.2 is 4.576
(10% is 3.52, 3% is 1.056)
35.2- 4.576= 30.624
then rounded to 2 decimal places
30.62
Triangle ABC is reflected over the x-axis. Triangle ABC has points A (10, 2), B (9,5), and C
(6,4). What is the B' coordinate?
A reflection over a line l moves every point P of the plane to the point P ′ on the perpendicular from P to the line l and on the same distance from l .
If the line is the x -axis, a point P = ( p 1 p 2 ) moves to the point P ′ = ( p 1 , − p 2 ) .
The image of the triangle A B C is the triangle A ′ B ′ C ′ with B ′ = ( 9 , − 5 )
ice, as long as it stays in its frozen form, will not lose its shape or its volume. Why?
solid form
Step-by-step explanation:
it will not loose shape because it is in solid form
Answer:
It freezes it self in the solid state
Step-by-step explanation:
Please help with this ........
Your answer is that all angles are equal to 66.
Angle 3 and angle 7 are equal, which we know because corresponding angles are equal (angles that make an ‘F’ shape).
This means we can form an equation because we know what angle 3 and angle 7 are:
2x + 40 = 3x + 27
- 2x
40 = x + 27
- 27
13 = x
Therefore angle 7 is 3(13) + 27 = 66, and so is angle 3.
We also know that angle 5 is equal to 66, because it is vertically opposite to angle 7 and vertically opposite angles are equal.
I hope this helps!
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.The quantities xxx and yyy are proportional.
xxx yyy
777 353535
121212 606060
202020 100100100
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
Answer:
5
Step-by-step explanation:
Solving the given equation for r, we get ...
y = rx
y/x = r
Then we can find r from any pair in the table:
r = 35/7 = 5
The constant of proportionality is 5.
Answer:
y=3
Step-by-step explanation:
i did it in khan academy :)
What’s the correct answer for this?
Answer:
A.
Step-by-step explanation:
We would reflect the point P so that another point would be made of the same length from the line.
Tony wants to estimate the number of bees in a beehive. He catches 100 bees from the hive and marks each one with a dye. He then lets the bees go. The next day, tony catches 60 bees from the hive. 15 of these bees have been marked with dye. A) using this information what is a good estimate for the number of bees in the beehive.
Answer:
Number of total bees = 400
Step-by-step explanation:
He catches 100 bees from the hive and marks each one with a dye.
He later catches 60 and 15 were marked with the dye.
Its very to estimate from the data given.
I'll answer it with ratio.
We'll ratio number of bees with dye to total he caught the second day.
I.e 15:60 = 1:4
We'll multiply this ratio with the number he caught the first day to know the total.
1/4x =100
X = 100*4
X= 400
Where x is the total number of bees in the bee hive.
Given the formula, Sn=a 1-r^n/1-r, what is the sum of the first nine terms of the geometric series: 324, -108, 36, -12...
If necessary, round to the hundredths place. (2 places after the decimal)
Answer:
243.01.
Step-by-step explanation:
The first term (a) = 324.
The common ratio (r) = -108/324 = -1/3.
So sum of 9 terms is:
S(9) = 324 * (1 - (-1/3)^9) / ( 1 - (-1/3)
= 324 ( 1 - (-0.00005076)) / 4/3
= 324 * 1.00005076 / 1.33333
= 243.012.
A gym membership charges $50 new member fee and $24 for every month after. Write an equation for this where y is the total cost and x is the number of months attended.
Answer:
y=24x+50
24= per month
x= months attended
50=member fee