Answer:
Solar energy is a renewable resource, meaning it won't ever run out or be in short supply. ... Solar energy reaches us via the sun's rays, while fossil fuels come from ancient carbon-rich remains on earth. So, as long as the sun is shining, solar energy will be around.
Step-by-step explanation:
The width of a golden rectangle is 4 cm. Find the length of the rectangle to the nearest tenth of a centimeter. (Remember the golden ratio, 1.618.)
2.5 cm
6.5 cm
8 cm
13 cm
5.6 cm
Answer:
6.47
1.618 x 4 = 6.47
Step-by-step explanation:
Answer:
The length of golden rectangle is 6.5 cm.
Step-by-step explanation:
Definition of golden rectangle
The Golden Rectangle, also known as the perfect rectangle by some, is a rectangle with the Golden Ratio as its length to width ratio. Many people consider this to be one of the most visually appealing geometric shapes. Many works of art and architecture contain it.
Given the width of golden rectangle= 4 cm
and the golden ratio= 1.618
The golden ratio is the ratio of length and width [tex]l/b=1.618[/tex]
[tex]l=1.618*b\\=1.618*4\\=6.472 cm[/tex]
Now length of the rectangle is up to nearest tenth point=6.5 cm
Hence the length= 6.5 cm
To know more about golden ratio go to given link
https://brainly.com/question/23450854
#SPJ2
A figure with vertical line symmetry is placed on the coordinate plane. Given that the points (–8, –4) and (–3, –4) are on the edges of the figure, which of the following points lies on the line of symmetry?
Answer:
(-11/2; -4)
Step-by-step explanation:
The point that lies on the line is symmetry is the middle point of the segment
M(x) = (-8-3)/2 = -11/2
M(y) = -4
Answer:
(-11/2; -4)
Step-by-step explanation: The point that lies on the line is symmetry is the middle point of the segment
M(x) = (-8-3)/2 = -11/2
M(y) = -4
If tan θ=1/4 and cos θ≤0, find the exact value of sin x
If you can answer this soon that would be great.
Answer:
Step-by-step explanation:
Tan(theta) = Sin(theta) / cos(theta)
1/4 = sin(theta) / sqrt(1 - sin^2(theta) ) Cross multiply
sqrt(1 - sin^2(theta)) = 4*sin^2(theta) Square both sides.
1 - sin^2(theta) = 16 * sin^4 (theta) Transfer the left side to the right side.
0 = 16 sin^4(theta) + sin^2(theta) - 1
Use the quadratic formula to find a value for sin^2(theta)
a = 16
b = 1
c = - 1
I'll leave solving the quadratic to you.
There are two answers
sin^2(theta)= .22069
The other root is - 0.28 which you cannot use.
Sin(theta) = +/- 0.4698
Cos(theta) is < 0 in quads 2 and 3
So sin(theta) is positive in quad 2
and sin(theta) is minus in quad 3
Find the surface area of the prism. The surface area is
Answer:
132m^2
Step-by-step explanation:
Area=10x5+3x4x2/2+10x3+4x10
=50+12+30+40
=132
Answer: 132 meters squared
Step-by-step explanation:
We add all the sides of the shape:
Three quadrangular sides:
3 x 10 = 30
4 x 10 = 40
5 x 10 = 50
30 + 40 + 50 = 120
Two triangular sides:
3 x 4 / 2 = 6
3 x 4 / 2 = 6
6 + 6 = 12
We add all up:
120 + 12 = 132 meters squared
can someone help me solve for x
Answer: Possibly -4
Step-by-step explanation:
But wait for others to check I’m not fully sure
19 less than 28
Write as a algebraic expression
Answer:
A
Step-by-step explanation:
Suppose that you are about to purchase a car and have narrowed your choices to two models --Model A and Model B. All things are about equal, such as price, options, even the average annual maintenance costs. You find an owner survey in an auto magazine that indicates that the standard deviation of maintenance costs is smaller for Model B. Based on this information, which of the following statements is most appropriate?
A. Model B with the smaller standard deviation is preferable, because the smaller value implies that the mean is a more reliable representation of maintenance costs.
B. Model A with the larger standard deviation is preferable. Cecause the larger value implies a smaller amount of variation in the data
C. Neither of the models are good since both standard deviations are not equal to 0. B 2
D. They are equally acceptable, because standard deviations are not useful for comparisons of data sets.
E. Cannot determine based on the information provided.
Answer:
A. Model B with the smaller standard deviation is preferable, because the smaller value implies that the mean is a more reliable representation of maintenance costs.
Step-by-step explanation:
The standard deviation is a measure of the variability of a dataset about a mean value. Larger values of standard deviation implies that the values varies Hugely about the mean whole smaller variability measure values mean that the data only varies a little about the mean. The implication of having a large variability value is that, low and high values in the data can be very different from the mean values, hence, lowering the reliability of Mean value. The lesser varibality gives the mean more reliability as a measure of centre
A model of a house uses a scale of 1 inch : 5 feet. The height of the model is 5 5/8
inches. What is the height of the actual house?
Answer:
scale = 1 in: 5 ft
= 1inch x 5 5/8 = 5.625
5 ft x 5 5/8 28.125 ft
The actual height of the house is 28.125 ft
Can someone help a friend
Answer:
acute triangle
Step-by-step explanation
MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZZZ
Ms. Medina gives 9 students each 3 Jolly Ranchers. Then she divides
the rest of the Jolly Ranchers in her bag up between those 9 students.
if she started with 72 Jolly ranchers, how many extra Jolly Ranchers
did she give them?
Answer:
45
Step-by-step explanation:
9 × 3 = 27
started with 72
72 - 27 = 45
whar are the correct points
y=5x-1 as a graph (slopes)
Answer:
linked the graph!
Step-by-step explanation:
Answer:
Using the slope-intercept form, the slope is −5
y=0,-1
Step-by-step explanation:
The graph shows the function y = 3.3 - 1. What are the coordinates of the intercepts?
Answer:
C) (0, -1) and ( [tex]\frac{1}{3}[/tex], 0)
Step-by-step explanation:
Solve this system of linear equations. Separate
the x- and y-values with a comma.
-2x = 8 - 6y
-15x = 21 - 6y
Answer:
Your solution is (-1, 1).
Step-by-step explanation:
-2x = 8 - 6y
-15x = 21 - 6y
Let's solve this through elimination.
Right away I can see that our y-values are the same. We want to eliminate one variable at a time, so let's make one of the -6y's a positive by multiplying each term in the equation by -1.
-15x = 21 - 6y
-1(-15x = 21 - 6y)
15x = -21 + 6y
Now we have a new equation in our system.
-2x = 8 - 6y
15x = -21 + 6y
Now, eliminate by performing each action given by the terms.
-2x = 8 - 6y
15x = -21 + 6y
___________
13x = -13
Divide both sides by 13 to isolate x.
x = -1
Now that we know x, plug it back into one of the original equations to find y.
-2x = 8 - 6y
-2(-1) = 8 - 6y
Multiply.
2 = 8 - 6y
Subtract 8 from both sides.
-6 = -6y
Divide both sides by -6.
y = 1
Your solution is (-1, 1).
Check your answer by plugging both values into one of the original equations.
-15x = 21 - 6y
-15(-1) = 21 - 6(1)
Multiply.
15 = 21 - 6
Add 6 to both sides.
15 = 15
Your answer is correct.
Hope this helps!
Answer:
(-1,1)
Step-by-step explanation:
-2x = 8 -6y *
-15x = 21 - 6y
Solve for -6y:
-6y = -8 - 2x *
-15x = 21 - 6y
Substitute the given value of 6y into second equation, you get:
-15x = 21 -8 - 2x
Solving this equation for x gets you:
x = -1
Substitute this value (x = -1) into the equation (-6y = -8 - 2x):
-6y = -8 - 2x (-1)
This provides y:
y = 1
What is 7845 times 3000^[2] divided by 90+3^85×(2)
Answer: 7.1835091
Step-by-step explanation:
Which inequalities have the solution set graphed on the number line? Select two options. A number line going from negative 6 to positive 2. An open circle is at negative 4. Everything to the left of the line is shaded. x less-than negative 4 Negative 4 less-than x Negative 4 less-than-or-equal-to x Negative 4 greater-than x x greater-than negative 4
Answer:
[tex]x < -4[/tex]
[tex]-4 > x[/tex]
Step-by-step explanation:
Given
Description of number line
Range: -6 to 2
Open circle on -4
Left shaded
Required
Select the number line
From the question, we understand that the left side of the number line is shaded.
This means that the inequality is [tex]\le[/tex] or [tex]<[/tex]
Also, the open circle on -4 means that we discard [tex]\le[/tex].
So, the inequality is:
[tex]x < -4[/tex]
The opposite of the above inequality is:
[tex]-4 > x[/tex]
Answer:
A, D.
Step-by-step explanation:
good luck with edge :)
A 40-inch piece of rope is cut into 4 equal pieces. How long is each piece in feet?
Answer:
10!
Step-by-step explanation:
Because 40*10= 4
and we all know 4/10=40 so there you go! Go succeed!
Answer: 5/6
Step-by-step explanation:
If you chose \(\frac{5}{6}\) foot, you are correct. If you chose 10 feet, you forgot to convert inches to feet. If you chose 1 foot, you thought that there were 10 inches in a foot. If you chose \(\frac{1}{10}\)foot, you wrote 1 over the number of inches because you were unsure how to write fractions in terms of feet.
A cylindrical tank has a base of diameter 12 ft and height 5 ft. The tank is full of water (of density 62.4 lb/ft3).(a) Write down an integral for the work needed to pump all of the water to a point 4 feet above the tank.(b) Write down an integral for the fluid force on the side of the tank.(c) How would your answer to part (a) change if the tank was on its side
Answer:
a. 71884.8 π lb/ft-s²∫₀⁵(9 - y)dy
b. 23961.6 π lb/ft-s²∫₀⁵(5 - y)dy
c. 99840π lb/ft-s²∫₀⁶rdr
Step-by-step explanation:
.(a) Write down an integral for the work needed to pump all of the water to a point 4 feet above the tank.
The work done, W = ∫mgdy where m = mass of cylindrical tank = ρA([5 + 4] - y) where ρ = density of water = 62.4 lb/ft³, A = area of base of tank = πd²/4 where d = diameter of tank = 12 ft.( we add height of the tank + the height of point above the tank and subtract it from the vertical point above the base of the tank, y to get 5 + 4 - y) and g = acceleration due to gravity = 32 ft/s²
So,
W = ∫mgdy
W = ∫ρA([5 + 4] - y)gdy
W = ∫ρA(9 - y)gdy
W = ρgA∫(9 - y)dy
W = ρgπd²/4∫(9 - y)dy
we integrate W from y from 0 to 5 which is the height of the tank
W = ρgπd²/4∫₀⁵(9 - y)dy
substituting the values of the other variables into the equation, we have
W = 62.4 lb/ft³π(12 ft)² (32 ft/s²)/4∫₀⁵(9 - y)dy
W = 71884.8 π lb/ft-s²∫₀⁵(9 - y)dy
.(b) Write down an integral for the fluid force on the side of the tank
Since force, F = ∫PdA where P = pressure = ρgh where h = (5 - y) since we are moving from h = 0 to h = 5. So, P = ρg(5 - y)
The differential area on the side of the tank is given by
dA = 2πrdy
So. F = ∫PdA
F = ∫ρg(5 - y)2πrdy
Since we are integrating from y = 0 to y = 5, we have our integral as
F = ∫ρg2πr(5 - y)dy
F = ∫ρgπd(5 - y)dy since d = 2r
substituting the values of the other variables into the equation, we have
F = ∫₀⁵62.4 lb/ft³π(12 ft) × 32 ft/s²(5 - y)dy
F = 23961.6 π lb/ft-s²∫₀⁵(5 - y)dy
.(c) How would your answer to part (a) change if the tank was on its side
The work done, W = ∫mgdr where m = mass of cylindrical tank = ρAh where ρ = density of water = 62.4 lb/ft³, A = curved surface area of cylindrical tank = 2πrh where r = radius of tank, d = diameter of tank = 12 ft. and h = height of the tank = 5 ft and g = acceleration due to gravity = 32 ft/s²
So,
W = ∫mgdr
W = ∫ρAhgdr
W = ∫ρ(2πrh)hgdr
W = ∫2ρπrh²gdr
W = 2ρπh²g∫rdr
we integrate from r = 0 to r = d/2 where d = diameter of cylindrical tank = 12 ft/2 = 6 ft
So,
W = 2ρπh²g∫₀⁶rdr
substituting the values of the other variables into the equation, we have
W = 2 × 62.4 lb/ft³π(5 ft)² × 32 ft/s²∫₀⁶rdr
W = 99840π lb/ft-s²∫₀⁶rdr
Two analysts are going to compute confidence intervals for the unknown population mean lifetime of batteries being used in a particular brand of cellphones. The 1st analyst selects a random sample of batteries and computes a 95% confidence interval that has a margin of error of .85 hours. The 2nd analyst selects a random sample of batteries and computes a 99% confidence interval that has a margin of error of .70 hours. Both samples have the same standard deviation of 4 hours. Which analyst will have a wider interval
Answer:
Due to the higher margin of error, the 1st analyst will have a wider interval.
Step-by-step explanation:
Width of a confidence interval:
The width of a confidence interval is twice its margin of error, meaning that the sample with the largets margin of error will be wider.
1st analyst:
Margin of error of 0.85, so width of 0.85*2 = 1.7
2nd analyst:
Margin of error of 0.7, so width of 0.7*2 = 1.4
Which analyst will have a wider interval?
Due to the higher margin of error, the 1st analyst will have a wider interval.
Help me pls ?????!!!!
Answer:
30=6j
j=5
hope it helps .......
1 +1
Deedederffetfrerggrrrggtrrttt
Answer:
11 or 2, it depends on how you think abt it
Answer:
2
Deedederffetfrerggrrrggtrrttt
URGENT NEED THIS DONE FAST LINKS WILL BE REPORTED
Answer:
3/2
Step-by-step explanation:
Answer:
[tex] \frac{3}{2} [/tex]
The State Association of Retired Teachers has recently taken flak from some of its members regarding the poor choice of the association's name. The association's by-laws require that more than 60 percent of the association must approve a name change. Rather than convene a meeting, it is first desired to use a sample to determine if meeting is necessary. Suppose the association decided to conduct a test of hypothesis using the following null and alternative hypotheses:
H0: p = 0.6
HA: p > 0.6
Define a Type II Error in the context of this problem.
A.They conclude that more than 60% of the association wants a name change when, in fact, that is not true.
B.They conclude that exactly 60% of the association wants a name change when that is, in fact, true.
C.They conclude that more than 60% of the association wants a name change when that is, in fact, true.
D.They conclude that exactly 60% of the association wants a name change when, in fact, that is not true.
Answer:
D.They conclude that exactly 60% of the association wants a name change when, in fact, that is not true.
Step-by-step explanation:
Type 2 error results in a statistical analysis when a false null is incorrectly accepted.
The hypothesis Given :
H0: p = 0.6
HA: p > 0.6
The null in this context is that, the percentage of members who wants a name change is 60% ; while the alternative is that more than 60% wants a name change.
In this context, accepting a false null means Making a conclusion that exactly 60% wants a name change while it is actually FALSE.
What is the slope of the following graph?
Answer:
Point
Step-by-step explanation:
I need help to find the value of X?
9514 1404 393
Answer:
x = 60
Step-by-step explanation:
The angle x is half the sum of the intercepted arcs:
x = (40 +80)/2
x = 60
If you rotated the shape around the line, which three-dimensional figure would be formed?
O A cone
O B. sphere
O C. cylinder
D. pyramid
Answer:
c cylinder
Step-by-step explanation:
Solve for z.
z
7
= 8
z =
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Exact Form:
z=0,7√8
Decimal Form:
z=0,1.34590019…
Hope this helps!
Have a great day!
- Hailey : )
At the city Museum child admission is $6.20 an adult admission is $9.90 on Sunday 142 tickets were sold for a total sales of $1183.80 how much adult tickets were sold that day
Answer:
82
Step-by-step explanation:
Set the number of adult tickets sold as x. Then, the number of tickets for children would be 142-x
The total cost of all the tickets would be:
6.2(142 - x) + 9.9(x) = 1183.80
Simplify and solve
3.7x + 880.4 = 1183.8
3.7x = 303.4
x = 82
So, the answer is 82 tickets.
consider the series 10 j-2 (-2j+1)
Answer:
Option C
Step-by-step explanation:
Given expression for the series is,
[tex]\sum_{j=2}^{10}(-2j+1)[/tex]
Here, j = Numbers of terms (from 2 to 10)
By substituting j = 2 to 10 we can find the terms of the series.
2, 3, 4, 5, 6, 7, 8, 9, 10
So the number of terms in the given series = 9
Option C will be the correct option.
Which numbers are irrational?
144
18
149
45