Answer:
t=65
Step-by-step explanation:
[tex] \frac{t}{5} = 13[/tex]
[tex]5 \times \frac{t}{5} = 5 \times 13[/tex]
[tex]t = 65[/tex]
During a guided tour of Sindrow Castle, a group of tourists climbed to the top of Fineview Tower.
At the top, the guide asked the six children in the group to guess how many steps they had
climbed. Their guesses were 155, 157, 167, 168, 179 and 183.
The guide revealed that the closest guess was only 3 more or less than the correct number and
that two of the other guesses were no more than 10 away.
How many steps had they climbed?
A 160
B 164
C 171
D 176
Answer:
C
Step-by-step explanation:
Negative nine minus negative ten?
Answer:
-9 - 10 = -19
Step-by-step explanation:
If both numbers are a negative, then add them together but keep the negative or minus sign
Hope this Helps!!!
Find the slope of the line that passes through the two points. (0, 0), (3, 2)
Answer:
the slope is 2/3 bcoz u do 2-0/3-0
(1 point)
Find the area enclosed by the curve r=2 sin(0) + 3 sin(90).
If the 0's are indeed zeroes, then it would appear that you're using degrees, so that the equation
r(θ) = 2 sin(0°) + 3 sin(90°)
describes a circle r = 3 (since sin(0°) = 0 and sin(90°) = 1). In this case, the area would simply be π r ² = 9π.
But I suspect you meant to use θ, so the curve has the far more interesting equation,
r(θ) = 2 sin(θ) + 3 sin(9θ)
Since sin(9θ) has a period of 2π/9 and sin(θ) has a period of 2π, their sum has a period of 2π. (That is, 2π times the LCM of 1 and 1/9, which is 1.) But we observe r(θ) is odd, since
r(-θ) = 2 sin(-θ) + 3 sin(-9θ)
… = -2 sin(θ) - 3 sin(9θ)
… = - r(θ)
which tells us that the curve closes itself over a half-period. So the area bounded by the curve is given by the integral,
[tex]\displaystyle\int_0^\pi\int_0^{r(\theta)}r\,\mathrm dr\,\mathrm d\theta[/tex]
If you're not familiar with double integrals yet, all you need to know is that this reduces to the area formula you may/should be familiar with,
[tex]\displaystyle\frac12\int_0^\pi r(\theta)^2\,\mathrm d\theta[/tex]
Compute the integral:
[tex]=\displaystyle\frac12\int_0^\pi(2\sin(\theta)+3\sin(9\theta))^2\,\mathrm d\theta[/tex]
[tex]=\displaystyle\frac12\int_0^\pi(4\sin^2(\theta)+12\sin(\theta)\sin(9\theta)+9\sin^2(9\theta))\,\mathrm d\theta[/tex]
Apply some identities:
sin²(θ) = (1 - cos(2θ)) / 2
sin(θ) sin(9θ) = (cos(9θ - θ) - cos(9θ + θ)) / 2 = (cos(8θ) - cos(10θ)) / 2
sin²(9θ) = (1 - cos(18θ)) / 2
[tex]=\displaystyle\frac14\int_0^\pi(4(1-\cos(2\theta))+12(\cos(8\theta)-\cos(10\theta))+9(1-\cos(18\theta))\,\mathrm d\theta[/tex]
[tex]=\displaystyle\frac14\int_0^\pi(13 - 4\cos(2\theta) + 12\cos(8\theta) - 12\cos(10\theta) - 9\cos(18\theta))\,\mathrm d\theta[/tex]
[tex]=\dfrac14 \left(13\theta-2\sin(2\theta)+\dfrac32\sin(8\theta)-\dfrac65\sin(10\theta)-\dfrac12\sin(18\theta)\right)\bigg|_0^\pi[/tex]
[tex]=\dfrac1{40} \left(130\theta-20\sin(2\theta)+15\sin(8\theta)-12\sin(10\theta)-5\sin(18\theta)\right)\bigg|_0^\pi[/tex]
[tex]=\dfrac{130\pi-20\sin(2\pi)+15\sin(8\pi)-12\sin(10\pi)-5\sin(18\pi)}{40}[/tex]
= 13π/4
Floyd Electric is fabricating flanges for a new electrical motor. The flange is to be 25 millimeters in diameter with an upper tolerance limit of 26.5 millimeters and a lower tolerance limit of 23.5 millimeters. Bill Floyd took a sample consisting of ten flanges, measured the diameter and recorded the observations in the table. He has heard discussion of 6 sigma in the business news recently and would like to join the club. What percentage decrease in process standard deviation would be required for Floyd Electric to achieve 6-sigma process capability? Assume that his process mean remains where it is.
A) 36%
B) 40%
C) 46%
D) 58%
This question is incomplete, the missing table is uploaded along this answer below.
Answer:
percentage of age reduction is 40
Option B) 40% is the correct answer
Step-by-step explanation:
Given the data in the question;
from the table in the image below;
sample x = 25.69 , 25.58 , 24.78 , 24.94 , 24.87 , 24.63 , 25.70 , 25.52 , 24.95 , 24.91
mean = ∑x/n
where n is sample size
= (25.69 + 25.58 +24.78 + 24.94 + 24.87 + 24.63 + 25.70 + 25.52 +24.95 ) / 10
= 251.57 / 10
mean u = 25.157
so;
S/N Sample (X) Mean (u) (X-U)²
1 25.69 25.157 0.284089
2 25.58 25.157 0.178929
3 24.78 25.157 0.142129
4 24.94 25.157 0.047089
5 24.87 25.157 0.082369
6 24.63 25.157 0.277729
7 25.7 25.157 0.294849
8 25.52 25.157 0.131769
9 24.95 25.157 0.042849
10 24.91 25.157 0.061009
Total 251.57 1.54281
Mean 25.157
Sample Variance = ∑(x-u)²/n-1 = 1.54281 / (10 - 1) = 1.54281 / 9 = 0.1714
Standard deviation STD1 = √ (variance) = √0.1714 = 0.414
now, for 6-sigma capability, Cpk = 2
Cpk = min of ( USL - mean ) / 3×STD), (Mean - LSL) / 3×STD
since our mean is centered between USL and LSL;
Cpk = ( 26.5 - 25 ) / 3×STD2
we substitute
2 = ( 26.5 - 25 ) / 3×STD2
6STD2 = 1.5
STD2 = 1.5 / 6
STD2 = 0.25
so current standard deviation STD1 = 0.414
required standard deviation for 6-sigma process STD2 = 0.25
so percentage of age reduction will be;
⇒ ( 0.414 - 0.25 ) 0.414 = 0.164 / 0.414 = 0.396 ≈ 0.4
⇒ 0.4 × 100 = 40%
Therefore, percentage of age reduction is 40
Option B) 40% is the correct answer
You may not know this, but you are home to a colony of bacteria. You may also not know it, but the health and happiness of that colony of bacteria have a direct effect on your own health and happiness. In short, if we are what we eat, then we may need to make bacteria part of our balanced breakfast.
Microbes are single-celled organisms. They are literally everywhere. Microbes are in the air we breathe, on the surfaces of everything we touch, and inside our bodies. Microbes can be bacteria, fungi, protozoa, or viruses.
A few years ago, scientists began studying the microbial life of our stomachs. Called The American Gut project, this study aims to understand the life of the bacteria that live in our digestive system. According to an article in the New York Times by Michael Pollan, the goal is to gather information on the types and amounts of bacteria in the human gut. Scientists want to describe what a normal healthy microbe and human relationship should look like inside our digestive system. While the research is still in the very early stages, scientists have learned the following:
The strongest and healthiest microbe systems are those with a lot of variety.
The guts of Americans have much less variety than the guts of other populations.
Diets that include a lot of processed foods support less variation in bacteria.
Studying the makeup of our individual bacteria communities will help scientists get a better idea of which bacteria help human bodies. We used to think that bacteria in our bodies were invaders. This new research suggests that bacteria are part of the protective army that keeps us healthy. In fact, our bodies have a hard time recovering from medicines like antibiotics because they disrupt the balance of helpful bacteria. It seems clear from the early evidence that living with bacteria helps us resist invasion from things that make us sick.
Scientists have also learned that microbes might help our guts do things like process vitamins and important nutrients. Some microbes may help us deal with stress, or adapt to changes. Furthermore, there may come a time—in your lifetime—when illness is treated not with antibiotics, but with extra-special microbes that help us defend our bodies from illness.
Based on "A Brief Study of Guts," which best summarizes the goal of new research into bacteria and microbes?
A. To collect a wide variety of microbes in all mammals including humans
B. To find ways to increase our intake of helpful microbes
C. To find evidence to decrease the use of antibacterial soap
D. To understand how microbes populate the human body and what benefit they provide
Answer:
The Right answer is To understand how microbes populate the human body and what benefit they provide.
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
They are telling you, hey! They are helpful!
77006
75863
Subtract
Answer:
1143
Step-by-step explanation:
A directed line segment AB with A (1,3) and B (8,4) is partitioned by point C such that AC and CB form a 4:1 ratio. Find C
Write your answer as a coordinate point.
Do not include spaces in your answer.
Write your answer as a decimal if necessary.
Answer:
[tex]C = (\frac{33}{5},\frac{19}{5})[/tex]
Step-by-step explanation:
Given
[tex]A = (1,3)[/tex]
[tex]B = (8,4)[/tex]
[tex]AC : BC = 4 : 1[/tex]
Required
Determine the coordinates of C
To do this, we make use of:
[tex]C = (\frac{nx_1 + mx_2}{n+m},\frac{ny_1 + my_2}{n+m})[/tex]
Where:
[tex]A = (1,3)[/tex] ---- [tex](x_1,y_1)[/tex]
[tex]B = (8,4)[/tex] ---- [tex](x_2,y_2)[/tex]
[tex]m:n = 4 : 1[/tex]
So:
[tex]C = (\frac{1 * 1 + 4*8}{1+4},\frac{1*3 + 4*4}{1+4})[/tex]
[tex]C = (\frac{33}{5},\frac{19}{5})[/tex]
Find the slope of line with the given points (- 6, 2)(3, 7)
Answer:
m = 5/9
Step-by-step explanation:
rise = 5
run = 9
m = rise/run
m = 5/9
Answer:
m = 5/9
Step-by-step explanation:
Use the slope formula to find the slope m.
[tex]m = \frac{5}{9}[/tex]
Use the distributive property to write an equivalent expression. (6+8)⋅x *
Answer: 14*x
Step-by-step explanation: I am 99% sure
Help please, what's the answer?
Question 7
Exponential functions have a variable degree.
Answer is 3^x + 6.
Question 8
Changing 15.3% to a decimal, we get 0.153.
Answer: Choice (4)
hi, if your looking for extra points (50+) and brainiest here is ur chance, answer this question correctly plz
Answer:
i will take company (a) because they are giving in less rate
Answer:
You would want to go with A
Step-by-step explanation:
If you do plan a it is 180 dollars a year when you spend 15 dollars per GB, B is cheaper on the other hand because it is 75 dollars a month so therefore 900 dollars a year
A is cheaper
Can someone please help
Answer:
take 121 subtract it from 180 and you get 59 so angle d is 59°. and angle b is 154°
Can you please help me
no xdxdxdxdxdxxdxdxdxdxdxdxdxdxddxd
A commuter airline makes lattes in the galley and sells them to passengers. A regular latte contains a shot of espresso, 1 cup of 2% milk, steamed, and 0.5 cup of whipped cream. The low-fat latte contains a shot of espresso, 1.25 cups of skim milk, frothed, and no whipped cream. The plane begins its journey with 100 shots of espresso, 60 cups of skim milk, 60 cups of 2% milk, and 30 cups of whipped cream. The airline makes a profit of $1.58 on each regular latte and $1.65 on each low-fat latte. Assuming that all lattes that are made can be sold, what would be the ideal mix of regular and low-fat lattes to maximize the profit for the airline?
Answer:
To maximize profit, the amount of each type of coffees made are;
The number of regular latte made = 52 cups
The number of low-fat latte made = 48 cups
Step-by-step explanation:
The given parameters are;
The number of espresso in a regular latte = 1 shot
The number of cups of 2% milk in regular latte = 1 cup
The amount of whipped cream in a regular latte = 0.5 cup
The number of cups of skim milk in the low-fat latte = 1.25 cup
The number of espresso in a low-fat latte = 1 shot
The amount of whipped cream in a low-fat latte = 0 cup
The number of cups of espresso in the journey = 100 shots
The number of cups of skim milk in the journey = 60 cups
The number of cups of 2% milk in the journey = 60 cups
The amount of profit the airline makes on each regular latte = $1.58
The amount of profit the airline makes on each low-fat latte = $1.65
Let 'x' represent the number regular lattes made and let 'y' represent the number low-fat lattes made, we have;
x ≤ 30/0.5 = 60
x ≤ 60
y ≤ 60
y ≤ 60/1.25 = 48
∴ y ≤ 48
x + y ≤ 100
Therefore, the given that more profit is made from the sale of low-fat latte than for regular latte, the maximum number of low-fat latte should be made
Therefore, the number of low-fat latte made, y = 48
Therefore, the number of regular latte made, x ≤ 100 - 48 = 52
For maximum profit, the maximum number of low-fat latte, 'x', should be made
Therefore, x = 52
The ideal mix of regular and low-fat lattes to maximize profit is 52 cups of regular latte and 48 cups of low-fat latte
A local anime fan club surveyed its members regarding their viewing habits last weekend, and the following information was obtained: 35 members had watched an episode of Naruto, 48 had watched an episode of Death Note, 24 had watched both an episode of Naruto and an episode of Death Note, and 12 had watched neither Naruto nor Death Note. (Round your answers to three decimal places.)
(a) What percent of the club members had watched Naruto or Death Note?
(b) What percent of the club members had watched only Naruto?
(c) What percent of the club members had watched only Death Note?
Answer:
a) 83.099% of the club members had watched Naruto or Death Note.
b) 15.493% of the club members had watched only Naruto
c) 33.803% of the club members had watched only Death Note.
Step-by-step explanation:
First we find the number of students which each habit, treating the habits as Venn sets.
I am going to say that:
Set A: Watched an episode of Naruto.
Set B: Watched an episode of Death Note.
24 had watched both an episode of Naruto and an episode of Death Note:
This means that [tex](A \cap B) = 24[/tex]
48 had watched an episode of Death Note
This means that [tex]B = 48[/tex].
We have that:
[tex]B = (B-A) + (A \cap B)[/tex]
In which B - A are those who watched only Death Note. So
[tex]48 = (B-A) + 24[/tex]
[tex](B-A) = 24[/tex]
35 members had watched an episode of Naruto
This means that [tex]A = 35[/tex].
[tex]A = (A-B) + (A \cap B)[/tex]
[tex]35 = (A-B) + 24[/tex]
[tex](A-B) = 11[/tex]
At least one:
This is
[tex](A \cup B) = A + B - (A \cap B)[/tex]
So
[tex](A \cup B) = 35 + 48 - 24[/tex]
[tex](A \cup B) = 59[/tex]
Total number of students:
59 at least one, 12 none, so 71 total.
(a) What percent of the club members had watched Naruto or Death Note?
At least one, so 59 out of 71
59*100/71 = 83.099
83.099% of the club members had watched Naruto or Death Note.
(b) What percent of the club members had watched only Naruto?
11 out of 71. So
11*100/71 = 15.493
15.493% of the club members had watched only Naruto.
(c) What percent of the club members had watched only Death Note?
24 out of 71. So
24*100/71 = 33.803
33.803% of the club members had watched only Death Note.
Answer:
i think it is (b) What percent of the club members had watched only Naruto?
Step-by-step explanation:
Brian wants to buy a shirt. He can choose
an XL, L, M, S, or XS long-sleeve or
short-sleeve in white, black, pink, or blue.
How many choices of combinations does
he have?
Answer:
40 choices of combinations can be made.
Step-by-step explanation:
Given that Brian wants to buy a shirt, and he can choose an XL, L, M, S, or XS long-sleeve or short-sleeve in white, black, pink, or blue, to determine how many choices of combinations does he have, the following calculation must be performed:
XL + L + M + S + XS = 5
LS + SS = 2
W + B + P + B = 4
5 x 2 x 4 = X
10 x 4 = X
40 = X
Thus, 40 choices of combinations can be made.
what is ( 5 x 1 ) + ( 5 x 1/3)
Answer:
The answer is 20/3
Step-by-step explanation:
(5 x 1 ) + ( 5 x 1/3)
5 + ( 5 × 1/3 )
5 + 5/3 = 20/3
Find the length of the diameter of circle O. Round to the nearest tenth.
Answer:
Diameter = 19.33
Step-by-step explanation:
Imaging a radius line from O to the endpoints of the 7. call this line R.
Label the part of the vertical line from O to the 90 degree intersection y.
Now you have a right triangle.
Using the Pythagorean theorem:
R² = 7² + y²
also
y = R - 3
substitute for y:
R² = 49 + (R-3)²
R² = 49 + R² - 6R + 9
simplify:
0 = 58 - 6R
6R = 58
R = 9.6667
Diameter = 2(9.6667) = 19.33
Please help please please plewse
Answer:
-1 and -5
Step-by-step explanation:
graph the parabola. Identify the vertex.
y=-5x^2
choose the correct graph below.
Answer:-5x^2
Step-by-step explanation:
Which statement describes the definition of a function?
Answer:
an activity or purpose natural to or intended for a person or thing.
Step-by-step explanation:
: >
The function definition is given below..
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
A function is a relation that has an input and an output.
All the possible outputs are called codomains.
The inputs are called the domains.
The outputs are called the range.
A function can be many-to-one but not one-to-many.
Example:
f(x) = x²
For x = 1 and x = -1
f(x) = (1)² = 1 and f(x) = (-1)² = 1
This is many to one.
Thus,
The function definition is given above.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ6
-12(x - 3) - (2x - 6) = 60
Answer:
x=-9/7
Step-by-step explanation:
Answer:-12(x - 3) - (2x - 6) = 60
= -12 OJHORZHOEHFOSDHSKDKCDEZIAIFDNSQDKFFFFFFFFFFFFZIDJAZIFJOIJF
Step-by-step explanation:
EFKJNDOIDNOIEFJOAIZFOUJFNJBVJFNVJNZJCN
SEND HELP YO Find and simplify the area (You need to completely multiply it out and include units in your answer):
2m* - 3 cm
.
2m" – 3 cm
Answer:
[tex]Area = 2m^8 - 6m^4 + 4.5[/tex]
Step-by-step explanation:
Given
[tex]Base = 2m^4 - 3[/tex]
[tex]Height = 2m^4 - 3[/tex]
Required
The area
This is calculated as:
[tex]Area = 0.5 * Base * Height[/tex]
[tex]Area = 0.5 * (2m^4 - 3) * (2m^4 - 3)[/tex]
Open brackst
[tex]Area = 0.5 * (4m^8 - 6m^4 - 6m^4 + 9)[/tex]
[tex]Area = 0.5 * (4m^8 - 12m^4 + 9)[/tex]
Open bracket
[tex]Area = 2m^8 - 6m^4 + 4.5[/tex]
e^x is greater than or equal to 25
SOMEONE, PLEASE HELPP ME!!!
Ten hamburger values meals cost $60.
A company makes fifty-six million, nine hundred two thousand, one hundred twenty six widgets each year. what is this number in stardard form?
what are the solutions of this equation x^2-x-56=0
Answer:
x1=8 x2=-7
Step-by-step explanation:
(x-8)(x+7)
x1=8
x2=-7
-2p-4=2 pls help me.
Answer:
p= -3
Step-by-step explanation:
-2p-4=2
+4 +4
-2p=6
/-2 /-2
p=-3
If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might intersect, but we need to know whether the objects are in the same position at the same time. Suppose the trajectories of two particles are given by the vector functions for t 0. Do the particles collide? If they collide find t. If not enter NONE.
r1(t) = t^2, 8t − 15, t^2
r2(t) = 11t − 30, t^2, 13t − 40
t=
Answer:
Step-by-step explanation:
[tex]r_1(t) = < t^2 , 8t-15,t^2> \\ \\ r_2(t) = < 11t-30, \ t^2 , \ 13t-40> \\ \\ at \ r_1 = r_2 \\ \\ t^2 = 11t - 30 , \ \ \ \ \ \ \ \ \ \ \ \ 8t - 15 = t^2 , \ \ \ \ \ \ \ \ \ t^2 = 13t -40 \\ \\ t^2 - 11t + 30\ \ \ \ \ \ \ \ \ \ \ \ t^2 -8t + 15 , \ \ \ \ \ \ \ \ \ \ \ \ t^2 -13t + 40 \\ \\ t^2 -8t-3t + 30=0 \ \ \ \ \ \ t^2 - 2t -4t + 15=0 \ \ \ \ \ \ t^2 - 1t - 13t + 40 =0[/tex]
[tex](t-6)(t-5) \ \ \ \ \ \ \ \ \ \ \ (t-5)(t-3) \ \ \ \ \ \ \ \ \ \ \ (t-5)(t-8)[/tex]
[tex]\mathbf{The \ common \ value \ of \ t \ = \ 5}[/tex]