Answer:
D) 38.7 meters
Step-by-step explanation:
A pitched roof has a rise of 12.9 meters
If the rise to span ratio is 1:3 than the 1 represents 12.9
so 12.9 x 3 = 38.7
What is the simplest form of ((x-1)/(x^2-4x+3)) / ((5x-2)/(x^2-9))
Answer:
THERE IS NO SIMPLEST FORM OMG THIS IS SO HARD. I'M EINSTEINS GREAT NEICE AND THIS IS STILL HARD
Step-by-step explanation:
Graph the line with the equation y = 3-5x -4
Answer:
Step-by-step explanation:
A circle is centered at D(-1,3). The point G(-10,1) is on the circle.
Where does the point J(-3, 12) lie?
Answer:on the circle
Step-by-step explanation:
Point J(-3, 12) is lying on the circle whose center is located at point D(-1, 3).
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have a center of the circle at D(-1, 3)
And point G(-10, 1) is on the circle.
We know the standard equation of the circle when a center is given:
\(\rm (x-h)^2+(y-k)^2=r^2\)
Where r is the radius of the circle and (h, k) is the center of the circle.
Here (h, k) ⇒ (-1, 3)
The circle equation becomes:
\(\rm (x+1)^2+(y-3)^2=r^2\)
Put the point on the circle equation to get the radius of the circle:
\(\rm (-10+1)^2+(1-3)^2=r^2\)
\(\rm (-9)^2+(-2)^2= r^2\\\\\rm 81+4 = r^2\\\\ \rm r = \sqrt{85} \ units\)
Equation of circle is:
\(\rm (x+1)^2+(y-3)^2=85\)
Now put the point J(-3, 12 ) in the circle equation:
\(\rm (-3+1)^2+(12-3)^2=85\)
4+ 81 ⇒ 85
It means point J is lying on the circle.
Thus, point J(-3, 12) is lying on the circle whose center is located at point D(-1, 3).
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re-write the equation in Ax+By=C form. use integers for A,B, and C.
y+2=-5(x-5)
Answer:
5x+y=23
Step-by-step explanation:
y+2=-5(x-5)
y+2=-5x+25
y=-5x+25-2
y=-5x+23
23=y-(-5x)
23=y+5x
5x+y=23
how many ways are there for eight men and five women to stand in a line so that no tow women stand right next to each other
In 609638400 ways eight men and five women can stand in a line so that no two women stand next to each other.
What is meant by Permutation?An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are organized in a linear or sequential manner. The permutation of the set A=1,6 is 2, for instance, 1,6, and 6,1. There is no alternative way to organize the components of set A, as you can see.
In contrast to combination, where the order of the parts is irrelevant, permutation calls for a specific arrangement of the elements in many ways.
We genuinely wonder how the timetables of trains, buses, and airlines are set up in accordance with the convenience of the general population. Of course, the permutation is quite useful in planning the departure and arrival timetables for these.
How to solve?
For 8 men in a line: 8! = 40320
In order to separate 2 women, we have to choose 5 out of 9
C(9,5) = 9! / 5!4! = 126
Random place 5 women in the 5 chosen places: 5! = 120
Total ways= 40320 * 126 * 120 = 609638400
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find the exact trig value \(cos(11\pi /6)\)
someone please help me with this math problem ASAP!!
Answer:
D and E
C
Step-by-step explanation:
Leanne's Nursery buys crates of firewood to deliver to customers over the winter. Each crate
measures 4 feet long, 3.5 feet wide, and 4 feet high. How much storage space does the nursery
need for the wood if 60 crates are delivered in an order?
OA 675 cubic feet
OB 3,375 cubic feet
OC 3,937.5 cubic feet
OD 3,360 cubic feet
The volume of storage space that the nursery needs for the wood if 60 crates are delivered in an order is; D: 3360 cubic feet
How to find the total volume of a cuboid?The formula for volume of a cuboid is;
Volume = Length * width * height
We are given;
Length = 4 feet
Width = 3.5 ft
Height = 4 ft
Thus;
Volume of one crate = 4 * 3.5 * 4
= 56 cubic ft
We need a total of 60 crates. Thus;
Total Volume = 60 * 56
Total volume = 3,360 cubic feet
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help math pklz hekllo
Answer:
ইহেবে জেজে জেহব ইঞ্জিন জেবি জেজেবেজে jeiehbbr রুরুরব এভে
3. A yard plan includes a rectangular garden that is surrounded by bricks. In the drawing, the garden is 7 inches
by 4 inches. The length and width of the actual garden will be 35 times larger than the length and width in the
drawing.
(a) What is the perimeter of the drawing? Show your work.
(b) What is the perimeter of the actual garden? Show your work.
(c) What is the effect on the perimeter of the garden with the dimensions are multiplied by 35? Show
your work.
For the rectangle, the answers will be a. Perimeter=52 inches, b. Perimeter=770 inches and c. Perimeter will be multiplied by 35 also.
What exactly is a rectangle?
A rectangle is a four-sided flat shape with opposite sides that are parallel and equal in length. It is a type of quadrilateral, a polygon with four sides.
Now,
(a) The perimeter of the drawing is the sum of the lengths of all sides of the rectangular garden plus the lengths of the two bricks on the top and bottom and the lengths of the two bricks on the left and right.
The length of the garden in the drawing is 7 inches, and the width is 4 inches. Thus, the perimeter of the garden in the drawing is:
P = 2(7 inches) + 2(4 inches) = 14 inches + 8 inches = 22 inches
Since the garden is surrounded by bricks, we need to add the lengths of the two bricks on the top and bottom and the lengths of the two bricks on the left and right. Each brick has a length of 1 inch, so the total length of the bricks is:
2(1 inch + 7 inches + 1 inch) + 2(1 inch + 4 inches + 1 inch) = 2(9 inches) + 2(6 inches) = 18 inches + 12 inches = 30 inches
Therefore, the perimeter of the drawing is:
22 inches + 30 inches = 52 inches
(b) The actual garden is 35 times larger than the drawing, so its length is 35 × 7 inches = 245 inches, and its width is 35 × 4 inches = 140 inches. Thus, the perimeter of the actual garden is:
P = 2(245 inches) + 2(140 inches) = 490 inches + 280 inches = 770 inches
(c) When the dimensions of the garden are multiplied by 35, the perimeter of the garden is also multiplied by 35. This is because the perimeter is a linear function of the length and width of the garden. Therefore, the effect on the perimeter of the garden is to increase it by a factor of 35.
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1Rewrite as multiplication:Multiply the numerator and the denominatorSimplify by dividing both the numerator and denominator by the GCF2Answer
To rewrite a division of fractions as a multiplication, flip the numerator and the denominator of the divisor:
\(\frac{2}{9}\div\frac{4}{9}=\frac{2}{9}\times\frac{9}{4}\)Then, multiply the numerators and the denominators:
\(\frac{2}{9}\times\frac{9}{4}=\frac{2\times9}{9\times4}=\frac{18}{36}\)The GCF of 18 and 36 is 18. Then:
\(\frac{18}{36}=\frac{18\div18}{36\div18}=\frac{1}{2}\)Therefore, the answer is:
\(\frac{2}{9}\div\frac{4}{9}=\frac{1}{2}\)Find the area of a rectangle with the given base and height 9ft , 3in
Answer:
324 in^2
Step-by-step explanation:
If you transfer the 9 ft to inches you get 108 in
108x3=324
Answer:
21
Step-by-step explanation: 9 + 9 = 18 , 3 + 3 = 6 , 18 + 6 = 21.
20. An airport, a factory, and a shopping center are at the vertices of a right triangle formed by three highways. The airport and factory are 6.0 miles apart. Their distances from the shopping center are 3.6 miles and 4.8 miles, respectively. A service road will be constructed from the shopping center to the highway that connects the airport and factory. What is the shortest possible length for the service road? Round to the nearest hundredth
Answer:
2.88 mi
Step-by-step explanation:
The hull speed of a boat is approximated by the
function
0 = 1.34V7,
where I is the hull length in feet and v is the hull
speed in knots.
. Evaluate the function rule for the given value.
y = 4.2xfor x = -6
Answer:
y= 4 x 2(6)
y= 4 x -12
y= -48
Step-by-step explanation:
y= 4 x 2(6)
y= 4 x -12
y= -48
Pa-follow po
Thank you
PLEASE HELP ME I will mark as brainliest
Answer:
2.
Step-by-step explanation:
This option provides all information needed to solve it.
It correctly tells you that H + P = 14, and has the numbers in the correct places.
Lucy spent 2/4 of an hour riding her bike. She then spent 3 3/4
of an hour break playing video games. How much did she spend playing video games and riding a bike
Answer:
Javier has $5. He sells a video game on an online auction site for $100. He must pay a $16 fee to the auction site. Javier then splits the. Not sure
Step-by-step explanation:
a) Work out the minimum number of dogs that could have a mass of more than 24 kg
. b) Work out the maximum number of dogs that could have a mass of more than 24 kg. Mass, z (kg)
Answer:
......................
Please help ;-;..................................
Answer:
12.9 - 22.7b
Step-by-step explanation
Given the expression 4.3(3-5b) = 1.2b
Open the bracket
4.3(3-5b) = 1.2b
4.3(3)-(4.3)(5b) = 1.2b
12.9 - 21.5b = 1.2b
12.9 - 21.5b - 1.2b
12.9 - (21.5+1.2)b
12.9 - 22.7b
Hence the required expression is 12.9 - 22.7b
Xin is getting an estimate from a printer for fliers for the drama club.xin orders colors prints and negotiates at 10% discount on the print job for the drama club.If f represents the number of filters Xin orders does 0.10(17.50 + 0.20f) represents the total cost of the print job?why or why not?
Answer:
Yes.
Step-by-step explanation:
10% is 0.10 in decimal form. Therefore, once he pays the $17.80 setup fee and then 0.20f (or $0.20 per flyer), then we would multiply by 10% (Or 0.10).
In conclusion:
Yes. 0.10( 17.50 + 0.20f ) does represent the total cost of the print job.
Find the specified areas for a Upper N left-parenthesis 0 comma 1 right-parenthesis density. (a) The area below z equals 1.04 Round your answer to three decimal places. areaequals the absolute tolerance is +/-0.001 (b) The area above z equals -1.4 Round your answer to three decimal places. areaequals the absolute tolerance is +/-0.001 (c) The area between z equals 1.1 and z equals 2.1 Round your answer to three decimal places. areaequals the absolute tolerance is +/-0.001
The area between z=1.1 and z=2.1 is approximately 0.982 - 0.864 = 0.118, rounded to three decimal places.
To find the area below z=1.04 for an Upper N(0,1) density, you will need to use the standard normal distribution table or a calculator with a z-table function. Here are the steps:
1. Locate the value of z=1.04 in the table or use the calculator's function.
2. Find the corresponding area value (which represents the probability or percentage of values below z=1.04).
The area below z=1.04 is approximately 0.851, rounded to three decimal places.
(b) To find the area above z=-1.4 for an Upper N(0,1) density, follow these steps:
1. Locate the value of z=-1.4 in the table or use the calculator's function.
2. Find the corresponding area value.
3. Since we need the area above z=-1.4, subtract the area value found in step 2 from 1.
The area above z=-1.4 is approximately 1 - 0.0808 = 0.919, rounded to three decimal places.
(c) To find the area between z=1.1 and z=2.1 for an Upper N(0,1) density, follow these steps:
1. Locate the values of z=1.1 and z=2.1 in the table or use the calculator's function.
2. Find the corresponding area values for both z=1.1 and z=2.1.
3. Subtract the area value of z=1.1 from the area value of z=2.1 to find the area between them.
The area between z=1.1 and z=2.1 is approximately 0.982 - 0.864 = 0.118, rounded to three decimal places.
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x(t) = Find a plane containing the point (-5,6,-6) and the line y(t) =
{x(t) = 7 - 5t
{y(t) = 3 - 6t
{z(t) = -6 -6t
To find a plane containing the point (-5, 6, -6) and the line defined by parametric equations x(t) = 7 - 5t, y(t) = 3 - 6t, and z(t) = -6 - 6t, we can use the point-normal form of the equation of a plane.
The equation of a plane in point-normal form is given by Ax + By + Cz + D = 0, where (A, B, C) is the normal vector to the plane, and (x, y, z) are the coordinates of a point on the plane. We can determine the normal vector by taking the cross product of two direction vectors in the plane.
The direction vector of the line can be obtained by taking the coefficients of t in the parametric equations, which gives us (-5, -6, -6). We can choose any two non-parallel direction vectors in the plane, for example, (1, 0, 0) and (0, 1, 0). Taking the cross product of these two vectors, we get the normal vector (0, 0, -1).
Now, we can substitute the values of the point (-5, 6, -6) and the normal vector (0, 0, -1) into the point-normal form equation. This gives us 0*(-5) + 0*6 + (-1)*(-6) + D = 0, which simplifies to D = -6. Thus, the equation of the plane containing the point (-5, 6, -6) and the given line is 0*x + 0*y - z - 6 = 0, or simply -z - 6 = 0.
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(2y^2 – 3y + 1) = (y - 2)
Answer:
see below
Step-by-step explanation:
Move R side to the L side to get
2y^2 -4y +3 = 0
Use quadratic formula to find y = 1 +- i sqrt (2) / 2
Which function represents the graph below?
HURRY PLEASE
Q. 8
Given a function f (x) = 3x2 + 4, what is the average rate of change of f on the interval [2, 2 + h]?
A. 3h + 12
B. 3h2 + 12h
C. 3h2 + 12h + 16
D. 16
The average rate of change of f on the interval [2, 2 + h] is given by 3h + 12. So, the correct answer is A. 3h + 12.
To find the average rate of change of the function f(x) = 3x^2 + 4 on the interval [2, 2 + h], we need to calculate the difference in the function values at the endpoints of the interval and divide it by the difference in the x-values.
Let's evaluate f(x) at the endpoints:
f(2) = 3(2)^2 + 4 = 12 + 4 = 16
f(2 + h) = 3(2 + h)^2 + 4 = 3(4 + 4h + h^2) + 4 = 12 + 12h + 3h^2 + 4 = 3h^2 + 12h + 16
Now, we can calculate the average rate of change:
Average rate of change = (f(2 + h) - f(2)) / (2 + h - 2)
= (3h^2 + 12h + 16 - 16) / h
= (3h^2 + 12h) / h
= 3h + 12
Therefore, the average rate of change of f on the interval [2, 2 + h] is given by 3h + 12. So, the correct answer is A. 3h + 12.
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Question
Write an equivalent expression.
3(b−4)
Select all that apply
Responses
A.3b-12
B.4(b-3)
C.(b-4)3
D.3b-4
Answer: Its A
Step-by-step explanation:
3xb= 3b
3x4=12
How much can a computer technician earn in two
years? Assume there are no raises in that time.
Answer:
$72,920
Step-by-step explanation:
hope this helps
29% of all college students major in STEM (Science, Technology, Engineering, and Math). If 32 college students are randomly selected, find the probability that a. Exactly 7 of them major in STEM. b. At most 10 of them major in STEM. c. At least 7 of them major in STEM. d. Between 3 and 11 (including 3 and 11) of them major in STEM. Round all answers to 4 decimal places.
a) Probability of exactly 7 students majoring in STEM: 0.1324
b) Probability of at most 10 students majoring in STEM: 0.7522
c) Probability of at least 7 students majoring in STEM: 0.8235
d) Probability of between 3 and 11 students majoring in STEM: 0.9154
To solve these probability problems, we can use the binomial probability formula. Let's define the variables:
n = number of trials (32 college students were selected)
p = probability of success (probability of majoring in STEM, 29% or 0.29)
x = number of successes (the number of students majoring in STEM)
a) To find the probability of exactly 7 students majoring in STEM:
P(x = 7) = (nCx) * (p^x) * ((1-p)^(n-x))
P(x = 7) = (32C7) * (0.29^7) * ((1-0.29)^(32-7))
b) To find the probability of at most 10 students majoring in STEM:
P(x ≤ 10) = P(x = 0) + P(x = 1) + P(x = 2) + ... + P(x = 10)
c) To find the probability of at least 7 students majoring in STEM:
P(x ≥ 7) = P(x = 7) + P(x = 8) + P(x = 9) + ... + P(x = 32)
d) To find the probability of between 3 and 11 students majoring in STEM:
P(3 ≤ x ≤ 11) = P(x = 3) + P(x = 4) + P(x = 5) + ... + P(x = 11)
Now let's calculate these probabilities using the formulas:
a) P(x = 7):
P(x = 7) = (32C7) * (0.29^7) * ((1-0.29)^(32-7))
Using a calculator, we find: P(x = 7) ≈ 0.1324
b) P(x ≤ 10):
P(x ≤ 10) = P(x = 0) + P(x = 1) + P(x = 2) + ... + P(x = 10)
Using a calculator, we find: P(x ≤ 10) ≈ 0.7522
c) P(x ≥ 7):
P(x ≥ 7) = P(x = 7) + P(x = 8) + P(x = 9) + ... + P(x = 32)
Using a calculator, we find: P(x ≥ 7) ≈ 0.8235
d) P(3 ≤ x ≤ 11):
P(3 ≤ x ≤ 11) = P(x = 3) + P(x = 4) + P(x = 5) + ... + P(x = 11)
Using a calculator, we find: P(3 ≤ x ≤ 11) ≈ 0.9154
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\(\sqrt{x} 196
can someone help me
Answer:
14
Step-by-step explanation:
√196
Calculate the square root of 196 and get 14.
14
Circle each value that is a perfect square.
50
81
289
360
100
75
224
Answer:
81100289Step-by-step explanation:
Hope this helps! <3