Answer:
p = 9 when q = 5.
Step-by-step explanation:
p is inversely proportional to the square of q
This means that:
[tex]p = \frac{k}{q^2}[/tex]
In which k is a constant multiplier.
p is 25 when q is 3
We use this to find k.
[tex]p = \frac{k}{q^2}[/tex]
[tex]25 = \frac{k}{3^2}[/tex]
[tex]k = 25*9 = 225[/tex]
So
[tex]p = \frac{225}{q^2}[/tex]
Determine p when q is equal to 5.
[tex]p = \frac{225}{q^2} = \frac{225}{5^2} = 9[/tex]
p = 9 when q = 5.
A car wash attendant counted the number of cars washed and the total amount of money earned. The company charged the same price for each car washed and earned $165 for 15 cars, $231 for 21 cars, and $275 for 25 cars. Write an equation for the relationship between the number of cars washed, n, and the number of dollars earned, m.
For what angles are sine and cosine the same?
Answer:
e
Step-by-step explanation:
Find the zero of the function f(x)=0.8e^2x -9. Round to the nearest hundredth.
Answer: x=1.21
Step-by-step explanation:
Given
Function is [tex]f(x)=0.8e^{2x}-9[/tex]
To find the zeroes, equate the function equal to zero
[tex]\Rightarrow 0.8e^{2x}-9=0\\\\\Rightarrow e^{2x}=\dfrac{9}{0.8}\\\Rightarrow e^{2x}=11.25[/tex]
taking natural logarithm both sides
[tex]\Rightarrow \ln (e^{2x})=\ln (11.25)\\\Rightarrow 2x=2.42\\\Rightarrow x=1.21[/tex]
The zero of the equation is 1.21
A baseball league finds that the speeds of pitches are normally distributed,
with a mean of 89 mph and a standard deviation of 2.4 mph. One pitch is
thrown at a speed of 83.2 mph. What is the z-score of this pitch? Round your
answer to two decimal places.
A. -2.42
B. -2.72
C. 2.42
D. 2.72
Determine the amplitude or period as requested. Amplitude of y = cos 5x a (2pi)/5 b 1 d 5
Answer:
The amplitude is 1
Step-by-step explanation:
Given
The right function is:
[tex]y = \cos(5x + \frac{2}{5}\pi) +5[/tex]
Required
Determine the amplitude
The general cosine function is:
[tex]y = A\cos(k(x + c)) +d[/tex]
Where
[tex]Amplitude = |A|[/tex]
Compare [tex]y = A\cos(k(x + c)) +d[/tex] and [tex]y = \cos(5x + \frac{2}{5}\pi) +5[/tex]
[tex]A = 1[/tex]
So:
[tex]Amplitude = |1|[/tex]
So, we have:
[tex]Amplitude = 1[/tex]
The triangle shown is rotated about line m.
What is the approximate base area of the resulting three-
dimensional figure?
Area of a circle: A = rr?
m
10 cm
8 cm
38 sq. cm
113 sq. cm
201 sq. cm
314 sq. cm
6 cm
Answer:
B 113
Step-by-step explanation:
on edg
From the information given, the area of the circle is: "113 sq. cm".
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
The formula to find the area of a circle is,
Area = πr².
Now, Using the side as the radius of the circle, we can calculate the area of the base area.
Here,
Radius r = 6
Thus, We get;
A = π x 6²
A = (22/7) x 36
A = 3.14285714286 x 36
A = 113.12
A ≈ 113 square unit.
Hence, The area of the circle is,
⇒ A = 113 sq. cm.
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An organization purchases 10 computers from a manufacturer with lifetimes modeled as exponential variables (mean of 5 years). What is the probability that at least 6 computers are functioning beyond 6 years
Answer:
0.0482 = 4.82% probability that at least 6 computers are functioning beyond 6 years
Step-by-step explanation:
For each computer, there are only two possible outcomes. Either it works beyond 6 years, or it does not. The probability of a computer working beyong 6 years is independent of any other computes. This means that the binomial probability distribution is used to solve this question.
As the lifetime of a computer is an exponential variable, the probability of a computer working beyond 6 years is found using the exponential distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
Probability of a computer working beyong 6 years:
Mean of 5 years means that [tex]m = 5, \mu = \frac{1}{5} = 0.2[/tex]
The probability is:
[tex]P(X > 6) = e^{-0.2*6} = 0.3012[/tex]
What is the probability that at least 6 computers are functioning beyond 6 years?
10 computers means that [tex]n = 10[/tex]
0.3012 probability of a computer working beyond 6 years means that [tex]p = 0.3012[/tex]
This probability is:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{10,6}.(0.3012)^{6}.(0.6988)^{4} = 0.0374[/tex]
[tex]P(X = 7) = C_{10,7}.(0.3012)^{7}.(0.6988)^{3} = 0.0092[/tex]
[tex]P(X = 8) = C_{10,8}.(0.3012)^{8}.(0.6988)^{2} = 0.0015[/tex]
[tex]P(X = 9) = C_{10,9}.(0.3012)^{9}.(0.6988)^{1} = 0.0001[/tex]
[tex]P(X = 10) = C_{10,10}.(0.3012)^{10}.(0.6988)^{0} \approx 0[/tex]
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0374 + 0.0092 + 0.0015 + 0.0001 + 0 = 0.0482[/tex]
0.0482 = 4.82% probability that at least 6 computers are functioning beyond 6 years
Which of the following options have the same value as 30% percent of 81?
Answer:
24.3
Step-by-step explanation:
30% of 81 can be found by converting the percentage into the fraction 0.30 and then multiplying: 0.30(81) = 24.3
The diagram shows Maha's garden.
AB = 15.3 m.
BC= 13.6m.
AD = 24.0m.
Find the perimeter of the garden.
Answer:
perimeter = 71.4 m
Step-by-step explanation:
using the Pythagorean theorem:
CD² = 15.3² + (24 - 13.6)² = 234.09 + 108.16 = 342.25
CD = √342.25 = 18.5
perimeter = 24 + 15.3 + 13.6 + 18.5 = 71.4 m
Find cos 0
16
20
12
A.
12
16
B.
12
20
C.
16
20
10
D.
Answer:
b cuz its cosine but i flipped the numbers so it can be 20 over 12 and gave me exactly 0
The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of cos(θ) in the given triangle is 0.6.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm \sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\\cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\\tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
In a right angle, the cosine function of trigonometry is the ratio of the base of the triangle and the hypotenuse of the triangle.
For angle θ, the dimension of the triangle will be,
Perpendicular = 16
Base = 12
Hypotenuse = 20
Now, the measure of cos(θ) will be,
Cos(θ) = Base / Hypotenuse
= 12 / 20
= 6 / 10
= 0.6
Hence, the value of cos(θ) in the given triangle is 0.6.
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7)
The diagram below shows the graph of y = |x-3|
Which diagram shows the graph of y= -|x - 3|
Answer:
y= -|x - 3| graph
Step-by-step explanation:
Reduce la siguiente expresión algebraica:
E(x,y)=x3y5+3y5x3+12x3y5−2y5x3
es para hoy
Answer:
123456789101112131415161718192021222324252627
Maya keeps her bolts in a large box in her garage. The total number of bolts in the box, f(x), is determined by the number of models (x) that she builds. The graph below shows that this relationship is a linear function. Which of the following would be the largest possible value in the domain of Maya’s function?
4
10
11
12
Answer:
4
Step-by-step explanation:
The domain of a function consist of all possible values of x that will give us corresponding values of y.
From the graph given, the points plotted indicates on the x-axis that the largest possible value we can have on the x-axis which represents Maya's Domain function is x = 4.
4 is the highest domain of Mayas function.
Hey, please could someone help :)
Step-by-step explanation:
Under 18 tickets: 5062-3484=1578
Total money: 3484*18+1578*12=81648$
100%-85%=15% goes to community projects
So, (15/100)*81648=12247.2 $
Find the value of x. Round to the nearest tenth. x=
27 , 34 , 11 ,
Will give brainliest
Answer:
13.5
Step-by-step explanation:
your teacher wrote all the tools you need down already.
we only need to apply them.
is that really so difficult ?
because of the law of sines we have
sin(27)/11 = sin(34)/x
we can also turn this upside down to simplify the calculation.
11/sin(27) = x/sin(34)
x = 11×sin(34)/sin(27) = 13.549 ≈ 13.5
there, that was all there was to it ...
y = 2x+10 shows the price, y, for x hours of contractor labor. How much for 10 hours of labor?
Answer:
$30
Step-by-step explanation:
Plus in 10 into the equation
Price=2(10)+10
Price=20+10
Price=30
Find the area of the semicircle. Enter the an exact answer in terms of or use 3.14 for and enter your answer as a decimal. PLEASE ANSWER NOW!
Answer:
6.28 units²
Step-by-step explanation:
The formula for finding the area of a circle:
πr²
We are given r = 2. So,
π(2)²
12.56 units²
However, it is a semicircle. So, only half of this value is needed.
12.56/2 = 6.28 units²
Answer:
area =12.56
Step-by-step explanation:
area of a semicircle=(pi(r)^2)/2
(3.14(2)^2)/2
(3.14(4))/2
12.56/2
6.28
Which expression is equivalent to j(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)?
o 13'
o 13j
o j13
oj + 13
need help fast pls!
what is the value of 3 in 728.36
The length of arc GJ is equivalent to 26π/3 units.
What is place value?Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.
Given is the value of 3 in 728.36.
In 728.36, the digit 3 is at tenths place. The digit 6 is at units place. We can say that the digit 3 is at tenths place in the decimal number 728.36.
Therefore, the digit 3 is at tenths place in the decimal number 728.36.
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Find the measure of minor arc QN.
M
0
K
IN
38
Р
Answer:
142°
Step-by-step explanation:
Minor arc QN = m(MN) + m(QM)
n(MN) = m<MKN = 90° (central angle = measure of intercepted arc)
m(NO) = m<NKO = 38° (measure of intercepted arcs)
m(QM) = 180° - (m(MN) + m(NO)) (half circle)
Substitute
m(QM) = 180° - (90° + 38°)
m(QM) = 52°
✔️Minor arc QN = m(MN) + m(QM)
Substitute
Minor arc QN = 90° + 52° = 142°
please help for 30 points!!
Answer:
AB = √17 4.1
GH = 4√2 5.7
Step-by-step explanation:
AB = 1²+4²=c²
1+16=c²
17=c²
√17=c
c=4.1
GH = 4²+4²=c²
16+16=c²
32=c²
√32=c
4√2=c
C=5.7
A manufacturing company produces 275 units per day currently. The company's goal is to increase the number of units
manufactured per day by 50 each year. If the company meets its goal, how many units will it be producing per day 8 years
from now?
Select the correct answer below:
333
400
625
675
725
Answer:
D) 675 units per day.
Step-by-step explanation:
We can write a function to model the situation.
The company is currently producing 275 units per day.
And it will increase its production by 50 units after each year.
Therefore, after y years, its production in units per day will be:
[tex]f(y)=275+50y[/tex]
Then 8 years from now, the company will be producing:
[tex]f(8)=275+50(8)=275+400=675\text{ units per day.}[/tex]
Our answer is D.
What is the equation of a line that goes through (2,5) and (-2, 3)?
Answer:
y = 1/2x+4
Step-by-step explanation:
First find the slope
m= (y2-y1)/(x2-x1)
= (3 - 5)/(-2 -2)
= -2/-4
= 1/2
Using point slope form
y -y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y-5 = 1/2(x-2)
Distribute
y-5 = 1/2x -1
Add 5 to each side
y-5+5 = 1/2x -1+5
y = 1/2x+4
HELP!! geometry homework
Answer:
2794 in³
Step-by-step explanation:
Given
base (a) = 17 in
vertical height (h) = 29 in
Now
Volume of the square pyramid
= 1/3 a²h
= 1/3 * 17² * 29
= 2793.7 in³
= 2794 in³
hope it helps :)
Answer:
2794
Step-by-step explanation:
V=s^2 times height over three
17^2 times 29/3
PEMDAS, exponents first
17^2=289
PEMDAS, next up multiplication
289 times 29/3
8381/3 or 2793.7
round to nearest whole number
2794
Find the missing side of each right triangle (((((Pythagorean’s Theorem))))))))
Answer:
3.87
Step-by-step explanation:
? = a
b = 1
c = 4
a² + b² = c²
a² + 1² = 4²
a² + 1 = 16
a² = 15
a = 3.8729
Rounded to hundredths: 3.87
In the triangle below,
y = [ ? ) cm. Round to the
nearest tenth.
15 cm
х
35
90°
y
Enter
The measures of the angles of A ABC are given by the expressions in the table.
Angle
Measure
А
(6x- 1)
B
20°
с
(x + 14)
What are the measures of angles A and C?
First You add all given angles up to equal 180 to give you x then you plug x into equations
A= 125 degrees
C= 35 degrees
Please help I beg you, I will pay too
Do you think standardized testing to measure the effects of the pandemic is “unnecessary or even actively harmful” this year — or, do you think schools need to administer those tests to see where students stand
Answer:
Read the claim. Schools should stop doing standardized testing. Read the counterclaim. The Department of Education says that teaching students to do well on standardized tests helps to motivate students and keep them focused on important subjects. Read the rebuttal. On the contrary, being forced to focus on testing stresses students and limits the amount of knowledge they can gain. How can the writer revise the rebuttal to make it stronger
A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line gives the flow rate (in cubic meters per hour) at any instant. The flow rate is about 100 m3/hr at 6 am and increases steadily to about 280 m3/hr at 9 am. Using only this information, give your best estimate of the total volume of water used by the factory between 6 am and 9 am.
Answer:
570 m³
Step-by-step explanation:
The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).
We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:
[tex]V_L= 100 m^3/h * 3h=300\ m^3[/tex]
Also, let us assume that it flows at the same flow rate as it was at 9 am throughout, hence:
[tex]V_R= 280 m^3/h * 3h=840\ m^3[/tex]
To get the best estimate of the total volume, let us find the average of the two values, hence:
[tex]Volume=\frac{V_L+V_R}{2} =\frac{300+840}{2}=570\ m^3[/tex]
Shun is going to flip a fair coin 450450450 times.
Complete the following statement with the best prediction.
The coin will land tails up...
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Exactly 175175175 times
(Choice B)
B
Close to 175175175 times but probably not exactly 175175175 times
(Choice C)
C
Exactly 225225225 times
(Choice D)
D
Close to 225225225 times but probably not exactly 225225225 times
Answer:
c
exactly 225225225 times
Answer:
The answer is- Close to 225225225 times but probably not exactly 225225225 times
Step-by-step explanation:
according to Khan Academy