Answer:
x = 8
Step-by-step explanation:
Step 1:
17x + 14 + 4x - 2 = 180 Sum of a line
Step 2:
21x + 12 = 180 Combine Like Terms
Step 3:
21x = 168 Subtract 12 on both sides
Step 4:
x = 168 ÷ 21 Divide
Answer:
x = 8
Hope This Helps :)
Step-by-step explanation:
4x - 2 + 17x + 14 = 180
21x + 12 = 180
Subtract 12 from both sides and you get :
21x = 168
Devide
[tex] \frac{21x}{21} = \frac{168}{21} \\ x = 8[/tex]
need help on my homework please
Answer:
32
Step-by-step explanation:
[tex] \frac{8(8)}{2} = 32[/tex]
i think this is the answer
Answer:
32
Step-by-step explanation:
8 x 8 = 64
64/2 = 32
Hope this helps!
Which of the following pairs of functions are inverses of each other?
Answer: A
Step-by-step explanation: just took the test
Find the equation of the line specified.The slope is -1/2, and it passes
through point (2,-5).
O y = 1/2x-5
O y=-1/2x-4
O y=-1/2x-5
O y = 1/2x+4
A boy is twirling a model airplane on a string 4 feet long. If he twirls the plane at 0.5 revolutions per minute, how far does the plane travel in 4 minutes
Answer:
Airplane covers a distance of approximately 50.265 feet in 4 minutes.
Step-by-step explanation:
From Rotation Physics we know that angular speed is the number of revolutions done by a particle at a given time. If the boy is twirling a model airplane at constant speed, then we calculate such variable as follows:
[tex]\dot n = \frac{n}{t}[/tex] (Eq. 1)
Where:
[tex]\dot n[/tex] - Angular speed, measured in revolutions per minute.
[tex]n[/tex] - Number of revolutions done by airplane, measured in revolutions.
[tex]t[/tex] - Time, measured in minutes.
Now we clear the number of revolutions done by airplane within expression:
[tex]n = \dot n \cdot t[/tex]
If we know that [tex]\dot n = 0.5\,\frac{rev}{min}[/tex] and [tex]t = 4\,min[/tex], then we get that number of revolutions is:
[tex]n = \left(0.5\,\frac{rev}{min} \right)\cdot (4\,min)[/tex]
[tex]n = 2\,rev[/tex]
The airplane made two revolutions in four minutes.
Now, the distance covered by the airplane ([tex]s[/tex]), measured in feet, is calculated by means of the equation below:
[tex]s = 2\pi\cdot l\cdot n[/tex]
Where:
[tex]l[/tex] - Length of the string, measured in meters.
[tex]n[/tex] - Number of revolutions done by airplane, measured in revolutions (dimensionless).
If we get that [tex]n = 2\,rev[/tex] and [tex]l = 4\,ft[/tex], then the distance covered by the airplane in 4 minutes is:
[tex]s = 2\pi\cdot (4\,ft)\cdot (2\,rev)[/tex]
[tex]s \approx 50.265\,ft[/tex]
Airplane covers a distance of approximately 50.265 feet in 4 minutes.
if a single pane of glass obliterates 3% of the light passing through it, then the percent p of light that passes through n successive panes is given approximately by function p(n)-100(0.97)^x. what percent of light will pass through 25 panes
Answer:
46.7
Step-by-step explanation:
3% of light is obliterated from this pane of glass
1-0.03
= 97% = 0.97
The function has been given as
P(n) = 100(0.97)^x
Let's take our x to be 25 just as the question says
P(n) = 100(0.97)²⁵
P(25) = 46.697
This is approximately equal to 46.7
Therefore the percentage of light that would pass through 25 panes is 46.7
Solve: 2x – 1125
Yeeeeeeeeeeeeeeeeeeeeer
Answer:
2(x - 562.5)
Factor out the 2
A lighthouse is located on an island 7 miles from the closest point on a straight shoreline. If the lighthouse light rotates clockwise at a constant rate of 8 revolutions per minute, how fast does the beam of light move across the shore when it is 3 miles from the point on the shore closest to the island
Answer:
[tex]\dfrac{800 \pi}{7} \ miles/min[/tex]
Step-by-step explanation:
From the given information:
We learned that the light rotates 8 revolutions per minute.
Therefore;
[tex]\dfrac{d \theta}{d t}= \dfrac{8 * 2 \pi}{1 \ min}[/tex]
[tex]\dfrac{d \theta}{d t}= 16\pi \ rads/min\\[/tex]
From the trigonometry formula, the tanget of the lighthouse in relation to the closest point on a straight shoreline can be expressed as:
[tex]tan \theta = \dfrac{x}{7}[/tex]
By differentiation with respect to t; we have:
[tex]\dfrac{d(tan \theta)}{dt} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]
[tex]\dfrac{d(tan \theta)}{d \theta}* \dfrac{d \theta}{dt} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]
By applying the chain rule:
[tex]sec^2 * \dfrac{d \theta }{d t} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]
[tex](1 + tan ^2 \theta) \dfrac{d \theta }{dt} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]
When x = 3 ; we have [tex]tan \theta = \dfrac{1}{7}[/tex]
[tex]\bigg (1 + \dfrac{1}{49} \bigg ) \dfrac{d \theta }{dt} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]
Also;
[tex]\dfrac{d \theta}{d t}= 16\pi \ rads/min\\[/tex]
[tex]\bigg (1 + \dfrac{1}{49} \bigg ) 16 \pi = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]
[tex]\bigg ( \dfrac{50}{7} \bigg ) 16 \pi = \dfrac{dx}{dt}[/tex]
[tex]\dfrac{dx}{dt} = \dfrac{800 \pi}{7} \ miles/min[/tex]
Please help, please please!
help pls i’ll give brainlest if it’s correct .
Answer:
Pb (Lead)
General Concepts:
The number of protons in the nucleus of an element determines where it is on the Periodic Table and what element it is.
Step-by-step explanation:
Given: 82 Protons
Looking at the Periodic Table, the element that has 82 protons is Lead (Pb).
Jamie saw an advertisement for a 6 ounce tube of toothpaste that cost $.90 how much should a 4 ounce tube cost?
Answer:
it will be $.60
Step-by-step explanation:
divide 90 by 6 and get 15. multiply 4 by 15 and get 60!
4 ounces would be 0.60 cents
Point P is in the interior of ∠NOQ. If m∠NOP = 37 and m∠NOQ = 123, what is m∠POQ?
Answer:
86
Step-by-step explanation:
angle NOP and angle POQ add up to create angle NOQ which equals 123 degrees. We just have to subtract 123-37 (NOP) to find the measure of angle POQ which equals 86 degrees
Answer:
The measure of angle ABD is 86 degrees.
Step-by-step explanation:
can yall tell me my GPA pl i dont know how to calculate it
Answer:your GPA is 3.914
Step-by-step explanation:your making me realized how stupid i am with those grades T-T
PLS help what is 6 ÷ two fifths
Answer:
its 15
Step-by-step explanation:
i took the quiz and google
Answer:
15 lollsss
Step-by-step explanation:
The proportion of brown M&M’s in a milk chocolate packet is approximately 14% (Madison, 2013). Suppose a package of M&M’s typically contains 52 M&M’s. a.) State the random variable. b.) Find the mean. c.) Find the variance. d.) Find the standard deviation.
Answer: a) Let x be a random variable that represents the number of brown M&M’s in a milk chocolate packet.
b) Mean =7.28
c) Variance = 6.2608
d) Standard deviation = 2.5022
Step-by-step explanation:
Given : The proportion of brown M&M’s in a milk chocolate packet is approximately : p=14% =0.14
We have outcomes for every randomly selection : 1) its in a milk chocolate packet 2) its not.
a) Let x be a random variable that represents the number of brown M&M’s in a milk chocolate packet.
So x follows binomial distribution.
b) Sample size : n=52 (given)
Mean [tex]= np = (0.14)(52) =7.28[/tex]
c) Variance = [tex]n p (1-p)= 52 (0.14)(1-0.14) =7.28(0.86)=6.2608[/tex]
d) Standard deviation =[tex]\sqrt{Variance}=\sqrt{6.2608}\approx2.5022[/tex]
Mark charges a one-time fee of $12 for travel and then $7.50 per hour for labor. How
many hours will he need to work to make $42?
A.3
B.4
C.5
D.6
Answer:
$42
Step-by-step explanation:
D
f(x) =-7x -5
When the input is -5 , the output is __
Using the greatest common factor, reduce the fraction 15\20to its simplest form.
A
4/5
B
15/60
C
3/4
D
3/5
Answer: 3/4
Step-by-step explanation: 15 simplified is 3 and 20 simplified is 4
3/4
Estimating Sample Size: You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p ∗ = 54 % . You would like to be 90% confident that your esimate is within 1.5% of the true population proportion. How large of a sample size is required? (please do not do any intermediate rounding)
Answer:
The value is [tex]n = 2887[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.54[/tex]
The margin of error is [tex]E = 1.5 \% = 0.015[/tex]
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } }{E} ]^2 * p(1-p)[/tex]
=> [tex]n = [\frac{1.645 }{0.015} ]^2 * 0.54(1-0.54)[/tex]
=> [tex]n = 2887[/tex]
had a bag of 28 marbles 1/4 the marbles were red and 3/7 were yellow, how many marbles were neither red nor yellow?
Answer:
The answer is 9
Step-by-step explanation:
The number marbles were neither red nor yellow is 9.
Given that, a bag of 28 marbles 1/4 the marbles were red and 3/7 were yellow.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, the number of red marbles = 1/4 × 28
= 7
The number of yellow marbles = 3/7 × 28
= 12
Total number of red and yellow marbles = 7+12 = 19
Neither red nor yellow = 28-19=9
Therefore, the number marbles were neither red nor yellow is 9.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
find the critical points and classify them as local maxima, local minima, saddle points, or none of these.
This question is incomplete, the complete question is;
find the critical points and classify them as local maxima, local minima, saddle points, or none of these.
f(x,y) = (x + y)(xy + 1)
Answer:
(x,y) = (-1, 1), (1, -1) area critical points
f(xx) =2y, fyy =2x,f(xy) =2x + 2y, D = f(xx)fyy - f(xy² )
at (-1, 1)
f(xx) = 2 ,fyy =-2,f(xy) = 0, D = -4 < 0 saddle point
at (1, -1)
f(xx) = -2, fyy =2,f(xy) =0, D = -4 < 0 saddle point
Step-by-step explanation:
Given that;
f(x,y) = (x + y)(xy + 1)
f(x,y) =x²y + xy² + x + y
for critical points fx =0 ,fy =0
fx = 2xy + y² + 1 = 0, fy = x² + 2xy + 1 = 0
2xy + y² + 1 = 0, x²+ 2xy + 1 = 0
2xy + y² + 1 - x² - 2xy - 1 = 0
x² = y²
=> x = y, x = -y
2xy + y² + 1 = 0, x = y
2yy + y² + 1 = 0
3y² = -1 , no solution
2xy + y² + 1 = 0, x = -y
-2yy + y² + 1 = 0
=> -y2 + 1 = 0
=> y = -1, y = 1
y = -1 => x = 1, y = 1 => x = -1
(x,y) = (-1, 1), (1, -1) area critical points
f(xx) =2y, fyy =2x,f(xy) =2x + 2y, D = f(xx)fyy - f(xy² )
at (-1, 1)
f(xx) = 2 ,fyy =-2,f(xy) = 0, D = -4 < 0 saddle point
at (1, -1)
f(xx) = -2, fyy =2,f(xy) =0, D = -4 < 0 saddle point
what is the solution of
Answer:A
Step-by-step explanation:
Answer: D (12)
Step-by-step explanation: I put both equations into desmos and the coordinates are (12,23) and x=12. It's not 6!
In order to qualify for Glamazon's free shipping, Wendy
must purchase at least $50 worth of cosmetics. So far
she has 4 eye shadows which cost $8.00 a piece in her
basket. How many lip glosses can she get to qualify for
free shipping, if lip glosses are $10 each?
Answer:
2 lip glosses
explanation
4x8= 32
50-32=18
2 lipglosses would be $20
32+20=52
52>50 meaning she qualifies for free shipping
4 eye shadows -- 8 x 4 = $32
lip glosses $10 -- 32 + 10 + 10 = $52
to qualify for free shipping, wendy needs to buy 2 lip glosses.
Need help with 24 I’ve been stuck on it for a minute now idk
|3x+1|-1=8Please help me
Answer:
Your answer is: x = 8/3 , -10/3
Solve for x by simplifying both sides of the equation, then isolating the variable.
Step-by-step explanation:
Hope this helped : )
Evaluate 15s for s= 2.
When s= 2, 15s =
Answer: 30
Step-by-step explanation:
If s is 2, the new equation would be 15x2, which is 30.
Answer:
30
Step-by-step explanation:
[tex]15 \times 2 = 30[/tex]
I think this is the answer
Problem: The length of a rectangle is 3cm more than twice its width. If the perimeter is
60cm, find its length.
Answer:
16.5cm
Step-by-step explanation:
[tex]perimeter = 2(l + w)\\l = 3 + w\\perimeter = 60\\2(l + w) = 60\\sub (l = 3 + w) for - l\\2((3+w) + w) = 60\\2(3 + w + w) = 60\\2(3 + 2w) = 60\\6 + 4w = 60\\4w = 60 - 6\\4w = 54\\w = \frac{54}{4}\\w = 13.5\\\\substitute- w= 13- into 2(l = 3 + w)\\l = 13.5 + 3\\l = 16.5[/tex]
A quality control inspector has drawn a sample of 15 light bulbs from a recent production lot. Suppose that 60% of the bulbs in the lot are defective. What is the expected value of the number of defective bulbs in the sample
Answer:
9
Step-by-step explanation:
Expected number of defective is given as :
N x P = np
Where = number of the sample drawn from the production lot
P= percentage of bulbs In The lot which are defective
N = 15
P = 60% = 0.60
So when we do the multiplication,
We have:
NP = 15x0.60
= 9
So in conclusion the expected value of defective bulbs in the sample is 9.
For the greatest integer function F(x)=[[2x+1], if x is 3.6, what is f(x)
4) Two-thirds of a number subtracted by five is thirty.
Answer:
x=52.5
Step-by-step explanation:
2/3x-5=30
2/3x=35
x=52.5
This table gives a few (x,y) pairs of a line in the coordinates plane
What is x look at photo
Answer: it’s -32,0! - 10 on the left and -7 on the right because of you start at -12,14 you get the y value to 0 and increase by 10 since it is shown to be a increase in each x and y value
Step-by-step explanation: