Answer:
the answer is D
The specifications for the diameter of a molded part are 10 mm ± 0.5 mm. The actual average and standard deviation from 250 parts sampled is 10.1 mm and 0.1 mm, respectively. The process can be characterized as:
Answer: Capable
Step-by-step explanation: The capability of a process could be exaplained as a measure of the ability of a process to produce part within specified limits by making use of statistical measurement. In determining if a certain process is capable or not, the value of process capability (Cp) is measured, in most cases, a process is deemed capable by having a Cp value of 1.33 or higher.
Cp formula :
(Upper specification limit(USL) - Lower specification limit(LSL) ) / 6* standard deviations
Diameter = 10 mm ± 0.5 mm
Standard deviation = 0.1mm
USL = 10 + 0.5 = 10.5
LSL = 10 - 0.5 =. 9.5
Cp = (10.5 - 9.5) / 6*0.1
Cp = 1/0.6
Cp = 1.6666
Cp = 1.67
Hence, the process is capable
sin theta upon 1 + cos theta + 1 + cos theta upon sin theta is equals to 2 cosec theta prove
Answer:
Step-by-step explanation:
I'll use x instead of theta.
So we have:
sin x / ( 1 + cos x) + (1 +cos x) / sinx
The LCM is sin x(1 + cos x) so we have
sin^2 x + (1 + cos x)^2 / sin x(1 + cos x)
= sin^2 x + cos^2x + 2 cos x + 1 / sin x(1 + cos x)
Now sin^2x + cos^2x = 1 so:
= 2 + 2 cos x / sin x(1 + cos x)
= 2(1+ cos x) / sin x(1 + cos x)
The 1 + cos x is common so we have:
2 / sin x
= 2 cosec x.
The length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58° to 36°.Calcule the height of the pole
===================================================
Work Shown:
x = starting length of the shadow
y = height of the pole
tan(angle) = opposite/adjacent
tan(58) = y/x
1.6003345 = y/x
1.6003345x = y
x = y/1.6003345
x = (1/1.6003345)y
x = 0.62486936y
-------------------------
When the angle changes, the adjacent side gets 90 meters longer
tan(angle) = opposite/adjacent
tan(36) = y/(x+90)
0.72654253 = y/(0.62486936y+90)
0.72654253(0.62486936y+90) = y
0.453994166y + 65.3888277 = y
65.3888277 = y-0.453994166y
65.3888277 = 0.546005834y
0.546005834y = 65.3888277
y = 65.3888277/0.546005834
y = 119.758478075162
y = 119.76
The height of the pole is about 119.76 meters.
Please help.. I'm really stuck
Answer:
C. C only
Step-by-step explanation:
Well to determine if the given graphs are functions we need to do the vertical line test to all the graphs,
A. This fails the vertical line test because the vertical line could pass through 2 points on the lines.
B. this also fails because a vertical line could pass through 2 points.
C. This passes because the vertical line doesn’t touch 2 points.
26.
What is the solution to. y - 9 > 4 + 2y?
HELP. answer if you can!
Answer:
y<−13
y−9>4+2y
Simplify both sides of the inequality
y−9>2y+4
Subtract 2y from both sides
y−9−2y>2y+4−2y
−y−9>4
Add 9 to both sides.
−y−9+9>4+9
−y>13
The divide both sides by -1
Answer:
[tex]\boxed{y < -13}[/tex]
Step-by-step explanation:
Hey there!
To solve for y we‘ll combine like terms and use the communicative property.
y - 9 > 4 + 2y
+9 to both sides
y > 13 + 2y
-2y to both sides
-y > 13
Divide -1 by both sides
y < -13
Hope this helps :)
Given that (-9,-8) is on graph of f(x), find the corresponding point for the function f(x)+2
Answer:
(-9, -6)Step-by-step explanation:
The graph of function f(x)+2 is moved 2 units up compared to the graph of f(x).
It means the x-coordinate is the same and the y-coordinate of f(x)+2 is increased by adding 2 to y-coordinate of f(x).
-8 + 2 = -6
HELP PLEASE ASAP I REALLY DONT KNOW HOW TO DO THIS
What is the slope of a line perpendicular to the line containing the points $(-1,2)$ and $(1,-2)$? Express your answer as a common fraction. Enter your answer
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope of the line m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (1, - 2)
m = [tex]\frac{-2-2}{1+1}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
explain how 6/12 and 4/8 are equal fractions
6/12 and 4/8 are equal fractions, as, when simplified, they share a simplified fraction.
Note that what you do to the denominator, you do to the numerator. Find common denominators for both fractions:
(4/8)/(2/2) = 2/4
(6/12)/(3/3) = 2/4
As you can tell, when they share a common denominator (4), the numerators are the same as well (3).
~
Find the missing factor D that makes the equality true -15y^4=(D)(3y^2)
Answer:
[tex]D=-5y^2[/tex]
Step-by-step explanation:
We have the equation:
[tex]\displaystyle -15y^4=D(3y^2)[/tex]
And we want to find D such that the equation is true.
So, we can divide both sides by 3y². This will yield:
[tex]\displaystyle D=\frac{-15y^4}{3y^2}[/tex]
We can split this into:
[tex]\displaystyle D=\frac{-15}{3}\cdot\frac{y^4}{y^2}[/tex]
Simplify. Hence:
[tex]D=-5y^2[/tex]
PLEASE HELP FOR REAL
In exercises 22 24 , describe how the change affects the surface area of the right prism or right cylinder .
Answer:
22. The surface area is 1/9 of its original value
24. The surface area is 120 m^2 less than its original value.
Step-by-step explanation:
22. For similar figures, the surface area is proportional to the square of the linear dimension scale factor. Multiplying all linear dimensions by 1/3 will result in reducing the surface area to (1/3)^2 = 1/9 of its original value.
__
24. As above, the scaled base surface area will be (1/4)^2 = 1/16 of its original value. Since one dimension of the lateral area is multiplied by 4 and the other dimension is multiplied by 1/4, the net effect on that area is multiplication by (1/4)(4) = 1. That is, the lateral area will remain unchanged.
The overall surface area will be reduced by 15/16 of the area of the bases. The area of the bases is (2)(1/2)(8 m)(16 m) = 128 m^2. The changed figure will have a surface area that is 120 m^2 smaller.
The sum of three consecutive multiples of 7 is 777 find these multiples
let the consecutive multiples be 7(n-1) , 7n and 7(n+1)
so 7(n-1)+7n+7(n+1)=777
or 3n=111,
n=37
252,259,266
[tex]7n+7n+7+7n+14=777\\21n=756\\n=36\\\\7n=252\\7n+7=259\\7n+14=266[/tex]
252,259,266
whats a negative times a positive times a negative?
Answer:
Positive
Step-by-step explanation:
negative times negative is postive positive times negative is negative
Answer:
A positive.
Step-by-step explanation:
Let's replace these with numbers.
-1 · 2 · (-3)
A negative times a positive will always equal a negative. So, we have:
-2 · (-3)
Any numbers with the same sign (positive or negative) multiplied by each other will equal a positive. Since we have two negatives and we're multiplying them, our result will be a positive number.
6
Hope this helps!! <3 :)
Factorise : x^2-9x-70 Step by Step
Answer:
Step-by-step explanation:
x^2 - 9x - 70
we need to find two numbers whose sum is -9 and product id -17
The numbers are -14 and 5
By splitting the middle term,
x^2 - 14x + 5x - 70
= x ( x - 14 ) + 5 ( x - 14 )
( x + 5 ) ( x - 14 )
Hope this helps
Plz mark as brainliest!!!!!
Answer:
Step-by-step explanation:
Sum = -9
Product = -70
Factors = -14 , 5
x² - 9x - 70 = x² + 5x - 14x + (-14) * 5
=x(x + 5) - 14(x + 5)
= (x + 5)(x - 14)
9. You run a business making birdhouses. You spend $600 to start your business, and it costs you $5.00
to make each birdhouse.
# of birdhouses
1
2
3
4
5
6
7
Total cost to build
Answer:
$635
Step-by-step explanation:
$5x7 birdhouses=$35want
So, $35+$600=$635 total!
I hope this helps you!
Multiplication is the process of multiplying. The cost of building 7 birdhouses will be $635.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The cost of the birdhouse is the sum of the fixed cost, which is the setup cost of the business of $600, and the variable cost is the cost that is needed to make a single house, therefore, $5.
Now, the total cost of making n number of houses will be,
Cost of making n house = Fixed cost + variable cost
= $600 + $5(n)
Further, the table can be filled using the above formula by substituting the value of n for the number of houses. Therefore,
Number of bird houses Total cost to build
1 $600+$5(1) = $605
2 $600+$5(2) = $610
3 $600+$5(3) = $615
4 $600+$5(4) = $620
5 $600+$5(5) = $625
6 $600+$5(6) = $630
7 $600+$5(7) = $635
Hence, the cost of building 7 birdhouses will be $635.
Learn more about Multiplication here:
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4. Given the following pattern of shapes, choose the mathematical expression showing th
changes for each iteration if b is the number of boxes in the previous iteration
a) b + 1
b) b + 2
c) 6-1
d) 6-2
Answer:
b)b+2
Step-by-step explanation:
3+2=5
5+2=7
so for the next iteration 2is added.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Use digits to write the value of the 6 in this number.
672,180
Six hundred thousand
Hope it helps :)
plz help asap i have limited time i will give brainliest
Answer:
358
Step-by-step explanation:
In 1995, the boys were 50 %
Take the number of people at the convention in 1995 ( 716)
and multiply by 50%
716 * 50%
716 * .50
358
Answer:
b. 358
Step-by-step explanation:
First, find what percentage of attendees were boys in 1995:
By reading the graph, we can see 50% were boys.
In the table, we can see that there were 716 attendees in 1995.
To find how many boys attended in 1995, find 50% of 716.
716(0.5) = 358
Find the midpoints of the points (-3,-2) and (1,-4)
Answer: (-1,-3)
Step-by-step explanation:
midpoint formula [tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-3,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:-4\right)[/tex]
[tex]\left(\frac{1-3}{2},\:\frac{-4-2}{2}\right)[/tex]
[tex](\frac{-2}{2},\frac{-6}{2})[/tex]
-2/2=-1
-6/2=-3
So the midpoint is (-1,-3)
Please mark brainliest
03. O preço a ser pago por uma corrida de táxi inclui uma parcela fixa, denominada bandeirada, e uma parcela que depende da distância percorrida. Se a bandeirada custa R$ 3,20 e cada quilômetro rodado custa R$ 1,50, qual o valor de v a pagar em uma corrida de n quilômetro? * 1 ponto a) v = 1,50 + 3,20n b) v = 3,20.N c) v = 3,20.N - 1,50 d) v = 3,20 + 1,50n e) v = 1,50n
Answer: d) v = 3.20 + 1.50n.
Step-by-step explanation:
Let 'v' be the price to pay in a 'n' kilometer.
Given: The price to be paid for a taxi ride includes a fixed parcel, called a flag, and a parcel that depends on the distance traveled.
Flag costs = $ 3.20 and
Each kilometre run costs = $ 1.50
Then, the amount of 'v' to pay in a 'n' kilometer race = Flag costs + (n)× (Each kilometre run costs )
⇒ v= 3.20 + 1.50n
Hence, the correct option is d) v = 3.20 + 1.50n.
describe importance of public participant
Answer:
the main aim of public participant is to encourage the public to have a meaningful input into the decision making process.
Is 3+(-4) the same as -4+3 ? Explain
Find the value of f(2).
y = f(x)
Answer:
2
Step-by-step explanation:
Looking at the graph, it is 2.
(07.06A) Which scenario best matches the linear relationship expressed in the equation y = 13.50x + 300? Bobby has $300 in the yearbook fund and spends $13.50 on each yearbook. Bobby has $13.50 in the yearbook fund and spends $300 on each yearbook. Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold. Bobby has $13.50 in the yearbook fund and earns $300 for each yearbook sold.
Answer:
Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.
Step-by-step explanation:
The value of the expression when x is zero is 300. For each increment of 1 in x, the value of the expression increases by 13.50. This best matches the scenario ...
Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.
hello :) why is the first one wrong?
Answer:
The cube only belongs to the x and not 2x.
The statement will only be true if there is a bracket around the 2x.
log₃(2x)³= 3log₃2x
logarithm power rule:
logₐ(x)^y = y ∙ logₐ(x)
Answer:
see explanation
Step-by-step explanation:
Given
[tex]log_{5}[/tex] 2x³
= [tex]log_{5}[/tex] 2 + [tex]log_{5}[/tex] x³
= [tex]log_{5}[/tex] 2 + 3[tex]log_{5}[/tex] x
Two numbers are in ratio 3 by 2 and their difference is 5 find numbers
Answer:
The first number is 15, the second number is 10Step-by-step explanation:
a:b = 3:2 ⇒ a = 3x and b = 2x
a - b = 5
3x - 2x = 5
x = 5
a = 3•5 = 15
b = 2•5 = 10
Let f(x) = 4x - 5 and g(x) = 3x + 7. Find f(x) + g(x) and state its domain.
Answer:
7x + 2
Step-by-step explanation:
Answer:
All real numbers
Step-by-step explanation:
Adding f(x) and g(x) together gets you, (4x-5) + (3x-7) = 7x - 12
If you graph this function you get a slanted line, which extends forever so the domain will be all real numbers.
Find the length of UX
A. 6.03
B. 76.11
C. 7.96
D. 76.53
Answer:
Answer would be D
Step-by-step explanation:
The measure of the length UX will be 76.53 units. Then the correct option is D.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The measure of the length UX will be given by sine of angle 6°.
sin 6° = UR / UX
0.1045 = 8 / UX
UX = 76.53 units
Then the correct option is D.
More about the trigonometry link is given below.
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Let X denote the block rate of the host hotel for a particular conference, and let Y denote the lowest room rate available in the host hotel outside of the conference block. For a conference that requires a two-night hotel stay, which one of the following expressions represents the least amount of discount on the conference registration fee that, according to the article, would be sufficient to deter conference attendees from employing the ROB strategy in choosing accommodations?
A. X+Y2X+Y2
B. X−Y2X−Y2
C. X−YX−Y
D. X+YX+Y
E. 2(X−Y)
Answer:
C. X-Y X-Y
Step-by-step explanation:
The question asks to identify the least amount of discount on the conference registration. If the registration discount is at least half of the possible saving of ROB then all attendees will stay within the block. X is the block rate and Y is the non block rate. The saving for staying two nights outside the block is 2 (X-Y)
A taxi cab company charges a flat rate of $2.00 per trip plus $0.25 per mile of the trip. If m is the number of miles traveled on a particular trip, interpret the following expressions: a) 0.25m b) 2.00 + 0.25m
Answer:
b) 2.00 + 0.25m
Step-by-step explanation:
2.00per trip and $0.25 per mile = 2.00 + 0.25m
Answer:
see below
Step-by-step explanation:
a) 0.25m
This is the cost of the mileage alone
The cost is 25 cents per mile times m miles
b) 2.00 + 0.25m
This is the total cost of the trip
There is a 2 dollar flat rate fee plus the cost of the miles
2 dollars plus m miles at 25 cents per mile
Find an equation for the nth term of the arithmetic sequence. 9, 11, 13, 15, ...
Answer:
2n+7
Step-by-step explanation:
First lets find the common difference which is 2, now we can use this formula to find the nth term.
an = a1 + (n - 1 ) d
an= 9+(n-1)2
=9+2n-2
=2n+7
To check let's insert n=5, 2(5)=10+7=17.
15+2=17!