Answer:
[tex]\large \boxed{c=\pm \sqrt{\dfrac{a-d}{b}}}[/tex]
Step-by-step explanation:
Hello,
[tex]a=bc^2+d \\ \\ <=> a-d=bc^2+d-d=bc^2 \ \text{ subtract d }\\ \\ <=> c^2=\dfrac{a-d}{b} \ \text{ divide by b, assuming b is different from 0}\\ \\<=>\large \boxed{c=\pm \sqrt{\dfrac{a-d}{b}}} \ \ \text{ take the root of both parts}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Complete the following questions on the picture
Answer:
Step-by-step explanation:
Hello!
For this particular organism population the growth rate is so that is doubled every 20 years. Using the starting population of 9 billion individuals by year 2000 you have to calculate the expected population values every 20 years.
All you have to do is multiply the original population by 2 to obtain the next value.
Year 2000:
Population: 9*10⁹ or 9 000 000 000 x 2= 18 000 000 000
To express 18 billion in scientific notation you have to add a "comma" after the first digit and then count the number of digits behind it:
1, 8 000 000 000 there are 10 digits behind the first digit. This notation summarizes the number in base 10 exponents so 18 billion in scientific notation is:
1.8 * ten "exponent the number of digits behind the comma"
1,8*10¹⁰So the population for year 2020 will be 1,8*10¹⁰
Next for year 2040 you have to multiply the population of year 2020 by 2
1,8*10¹⁰ x 2= 3,6*10¹⁰
And so on:
2060: 3,6*10¹⁰ x 2)= 7.2*10¹⁰
2080: 7.2*10¹⁰ x2= 1.44*10¹¹
2100: 1.44*10¹¹ x2= 2.88*10¹¹
2120: 2.88*10¹¹x2= 5.76*10¹¹
2140: 5.76*10¹¹x2= 1.152*10¹²
2160: 1.152*10¹²x2= 2.304*10¹²
2180: 2.304*10¹²x2= 4.608*10¹²
2200: 4.608*10¹² x2= 9.216*10¹²
2220: 9.216*10¹²x2= 1.8432*10¹³
2240: 1.8432*10¹³x2= 3.6864*10¹³
2260: 3.6864*10¹³x2= 7.3728*10¹³
2280: 7.3728*10¹³x2= 1.47456*10¹⁴
2300: 1.47456*10¹⁴x2= 2.94912*10¹⁴
2320: 2.94912*10¹⁴x2= 5.89824*10¹⁴
2340: 5.89824*10¹⁴x2= 1.179648*10¹⁵
2360: 1.179648*10¹⁵x2= 2.359296*10¹⁵
2380: 2.359296*10¹⁵x2= 4.718592*10¹⁵
2400: 4.718592*10¹⁵x2= 9.437184*10¹⁵
So for year 2400 the expected population will be 9.437184*10¹⁵, writen in common notation that is:
9 437 184 000 000 000 individuals
I hope this helps!
PLEASE HELP I WILL GIVE BRAINLIEST TO CORRECT ANSWER
A greengrocer has 38 lb of carrots when he opens on Monday morning. During the day
he gets a delivery of 60lb of carrots and sells 29 lb of the carrots. How many pounds of
carrots are left when he closes on Monday evening?
Answer:
9 is the answer
Step-by-step explanation:
got a delivery of 60ib...but dont have enough .thats why he or she sells 29..totally he or she have 38ib of carrots ...so when we subtract 38_29
its =9
Which set of three numbers can be used to make a right triangle? select Yes or no
Answer:
answer is
B) 36,72,80
Step-by-step explanation:
because is the right angle it is exactly 90°
If 100 envelope cost 70 cents how much would 250 cost
Answer:
178.5 actually
Step-by-step explanation:
The mid term exam had a normal distribution with mean 70 and standard deviation 10. To get a C you have to be in the middle 40% of the class. Which two grades will define the middle 40%.
Answer:
64.8 and 75.2
Step-by-step explanation:
A suitable probability calculator can show you the middle 40% is between about 64.8 and 75.2.
Please help, I don’t need an explanation, just the answer.
Answer:
x=2 y=4
Step-by-step explanation:
A committee has members. There are members that currently serve as the board's . Each member is equally likely to serve in any of the positions. members are randomly selected and assigned to be the new . What is the probability of randomly selecting the members who currently hold the positions of and reassigning them to their current positions? The probability is nothing.
Complete Question
A committee has six members. There are three members that currently serve as the board's chairman comma vice chairman comma and treasurer . Each member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the new chairman comma vice chairman comma and treasurer . What is the probability of randomly selecting the three members who currently hold the positions of chairman comma vice chairman comma and treasurer and reassigning them to their current positions?
The probability is ?
Answer:
The probability is [tex]P(3 ) = \frac{ 1 }{20 }[/tex]
Step-by-step explanation:
From the question we are told that
The total number of members is n = 6
The number of member to be selected is r = 3
Generally the number of ways of selecting 3 members from 6 is mathematically evaluated as
[tex]\left n } \atop {}} \right. C _r = \frac{n! }{(n-r ) ! r !}[/tex]
=> [tex]\left 6 } \atop {}} \right. C _ 3 = \frac{6 ! }{(6-3) ! 3 !}[/tex]
=> [tex]\left n } \atop {}} \right. C _r = \frac{6* 5* 4 * 3! }{3 ! 3*2 * 1}[/tex]
=> [tex]\left n } \atop {}} \right. C _r = \frac{6* 5* 4 }{3 *2 * 1}[/tex]
=> [tex]\left n } \atop {}} \right. C _r =20[/tex]
Now the number of ways of selecting the 3 members who currently hold the position is n = 1
So the probability is mathematically represented as
[tex]p(k ) = \frac{ n }{\left n } \atop {}} \right. C _r }[/tex]
substituting values
[tex]P(3 ) = \frac{ 1 }{20 }[/tex]
Please help. I’ll mark you as brainliest if correct!
Answer:
[tex]\large \boxed{\sf \ \ x=0, \ \ y=-5 \ \ }[/tex]
Step-by-step explanation:
Hello, please consider the following.
We have two equations:
(1) -2x - 4y = 20
(2) -3x + 5y = -25
5*(1)+4*(2) gives
-10x - 20y -12x + 20y = 100 - 100 = 0
-22x = 0
x = 0
I replace in (1)
-4y = 20
y = -20/4 = -5
There is one solution x = 0, y = -5
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
The two equations are
-2x-4y=20
-3x+5y=-25
multiply equation 1 by 5 and equation 2 by 4
-10x-20y=100
-12x+20y=-100
-22x=0
x=0
Substitute value in either equation
y=-5
So,option 1 is correct only one solution
The graph of f*x)=2^(x+3) shifts 10 units to the right when it is replaced with the graph of f(x)=2^(x-k). What is the value of k?
Answer:
7
Step-by-step explanation:
f(x) = 2^(x + 3)
Shifted 10 units to the right:
f(x) = 2^(x + 3 − 10)
f(x) = 2^(x − 7)
Therefore, k = 7.
Which parent function is represented by the graph?
A. The quadratic parent function
B. The absolute value parent function
C. An exponential parent function
D. The linear parent function
Answer:
D. The linear parent function
Step-by-step explanation:
Linear functions are always characterized by a straight line graph with or without an intercept on the vertical or horizontal axis. A linear function usually has an independent variable and a dependent variable. The independent variable is commonly depicted as x while the dependent variable is y.
Thus a linear equation is an equation of the type y=ax where a is a constant term. The equation of a straight line graph his y=mx +c, where;
m= gradient of the straight line graph
x= the independent variable
y= the dependent variable
c= the vertical intercept
Answer:
The linear parent function :)
Step-by-step explanation:
Complete the table
Distance(ft)
Height(ft)
Answer:
a = 6, b = 7, c = 8, d = 7 and e = 6
Step-by-step explanation:
Let's remember that the complete revolution of the wheel is 360 degrees, and the distance traveled by a complete revolution is the length of the circumference: 2*pi*radius.
The inicial height of the point is 6 ft, and the radius of the wheel is 1 ft.
When the distance traveled is 0, the wheel turned 0 degrees, and the point will be in its inicial position (the lower position of the wheel), which is 6 feet high.
So the height will be a = 6 + 0 = 6 ft
When the distance traveled is pi/2, the wheel turned 90 degrees, and the point will be half the complete height of the wheel, which is 2 feet.
So the height will be b = 6 + 1 = 7 ft
When the distance traveled is pi, the wheel turned 180 degrees, and the point will be at the top of the wheel, which is 2 feet higher than the lower point of the wheel.
So the height will be c = 6 + 2= 8 ft
When the distance traveled is 3pi/2, the wheel turned 270 degrees, and the point will be half the complete height of the wheel, which is 2 feet.
So the height will be d = 6 + 1 = 7 ft
When the distance traveled is 2pi, the wheel turned 360 degrees, and the point will be in its inicial position (the lower position of the wheel), which is 6 feet high.
So the height will be e = 6 + 0 = 6 ft
So the answers are:
a = 6, b = 7, c = 8, d = 7 and e = 6
Answer:
6, 7, 8, 7, 6
Step-by-step explanation:
plzzz help 6≥ -6(a+2)
Answer:
a[tex]\geq[/tex]-3
Step-by-step explanation:
Answer:
-3 ≤ a
Step-by-step explanation:
6≥ -6(a+2)
Divide each side by -6, remembering to flip the inequality
6/-6 ≤ -6/-6(a+2)
-1 ≤ (a+2)
Subtract 2 from each side
-1 -2 ≤ a+2-2
-3 ≤ a
Given: FGKL is a trapezoid, m∠F=90°, m∠K=120°, FK=LK=a Find: The length of midsegment.
Answer:
(3/4)a
Step-by-step explanation:
The angle at K is 120°, so the angle at L is its supplement: 60°. That makes triangle FKL an equilateral triangle with a base of FL = a. The vertex at K is centered over the base, so is a/2 from G.
The midsegement length is the average of GK and FL, so is ...
midsegment = (GK +FL)/2 = (a/2 +a)/2
midsegment = (3/4)a
Determine the margin of error in estimating the population mean, μ . A sample of 74 college students yields a mean annual income of Assuming that , find the margin of error in estimating μ at the 99% level of confidence.
Answer:
$253
Step-by-step explanation:
Margin of error is the critical value times the standard error.
MoE = z × σ/√n
At 99% confidence, z = 2.576.
MoE = 2.576 × 844/√74
MoE = 253
High temperatures in a certain city for the month of August follow a uniform distribution over the interval LaTeX: 61^{\circ}F61 ∘ Fto LaTeX: 91^{\circ}F91 ∘ F. Find the high temperature which 90% of the August days exceed.
Answer:
The required probability for the high temperature which 90% of the August days exceed. is 0.0333
Step-by-step explanation:
High temperatures in a certain city for the month of August follow a uniform distribution over the interval 61° F to 91° F . Find the high temperature which 90° F of the August days exceed.
Let assume that X is the random variable
The probability mass function is:
[tex]f(x) = \dfrac{1}{b-a}[/tex]
[tex]f(x) = \dfrac{1}{91-61}[/tex]
[tex]f(x) = \dfrac{1}{30}[/tex]
Thus; The probability density function of X can be illustrated as :
[tex]f(x) = \left \{ {{ \ \ \dfrac{1}{30}} \atop { \limits }}_ \right. _0[/tex] 61 < x < 91 or otherwise
The required probability for the high temperature at 90° F can be calculated as follows:
[tex]P(X> 90) = \int\limits^{91}_{90} {f(x)} \, dx[/tex]
[tex]P(X> 90) = \int\limits^{91}_{90} \ {\dfrac{1}{30} \, dx[/tex]
[tex]P(X> 90) = {\dfrac{1}{30} \int\limits^{91}_{90} \ \, dx[/tex]
[tex]P(X> 90) = {\dfrac{1}{30} [x]^{91}_{90}[/tex]
[tex]P(X> 90) = {\dfrac{1}{30} (91-90)[/tex]
[tex]P(X> 90) = {\dfrac{1}{30} \times 1[/tex]
[tex]P(X> 90) = 0.0333[/tex]
The required probability for the high temperature which 90% of the August days exceed. is 0.0333
please factor!
7x^2+27xy-4y^2
convert 1000m to kilometres
Answer:
1km
Step-by-step explanation:
1000m=1km
Ez Money
Answer:
1000m= 1km
if you convert 1m to km is 0.001km times it by 1000, you get 1km.
For each function, determine if it intersects or is parallel to the line y=−1.5x. If it intersects the line, find the intersection point. y=0.5x−6
Answer: the intersection point is (2.4, -4.8)
Step-by-step explanation:
A) we have the function:
y = 0.5*x - 6.
First we want to know if this function intersects the line y´ = -1.5*x
Now, first we can recall that two lines are parallel only if the slope is the same for both lines, here we can see that the slopes are different, so the lines are not parallel, which means that the lines must intersect at some point.
Now, to find the intersection point we asumme y = y´ and want to find the value of x.
0.5*x - 6 = -1.5*x
(0.5 + 1.5)*x - 6 = 0
2.5*x = 6
x = 6/2.5 = 2.4
Now, we evaluate one of the functions in this value of x.
y = 0.5*2.4 - 6 = -4.8
So the intersection point is (2.4, -4.8)
Apply the distributive property to factor out the greatest common factor. 56+32=56+32=56, plus, 32, equals
Answer:
8(7 + 4) = 88
Step-by-step explanation:
56:
1 x 56
2 x 28
4 x 14
7 x 8
32:
1 x 32
2 x 16
4 x 8
Answer:
8(7+4)
Step-by-step explanation:
Consider the function f(x) = 2 ^x.and the function g(x).
g(x) = f(x + 4)
= 2^(x+4)
How will the graph of g(x) differ from the graph of f(x)?
A.
The graph of g(x) is the graph of f(x) shifted 4 units to the left.
B.
The graph of g(x) is the graph of Ax) shifted 4 units upward.
C.
The graph of g(x) is the graph of Ax) shifted 4 units to the right.
D.
The graph of g(x) is the graph of f(x) shifted 4 units downward.
Answer:
A.
Step-by-step explanation:
Hello,
g(x-4)=f(x) so the graph of g is the graph of f shifted 4 units to the left.
For any x, the point (x-4, g(x-4)) is 4 units to the left of the point (x,f(x)).
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
A
Step-by-step explanation:
:) i just took the test and it was right
In an ANOVA the F-calculated for the treatment 4.76 with 3 degrees of freedom in the numerator and 6 degrees of freedom in the error term. What is the approximate p-value
Answer:
0.0499
Step-by-step explanation:
The p-value can be calculated using technology. The p-value is computed by using F distribution right tailed excel function. The excel function "F.DIST.RT(4.76,3,6)" gives desired p-value which is 0.0499.
The p-value shows that the for 5% level of significance the null hypothesis can be rejected.
In 2009, a school population was 1,700. By 2017 the population had grown to 2,500. Assume the population is changing linearly. How much did the population grow between 2009 and 2017?
Answer:
100
Step-by-step explanation:
The population is changing linearly. This means that the population is increasing by a particular value n every year.
From 2009 to 2017, there are 8 increases and so, the population increases by 8n.
The population increased from 1700 to 2500. Therefore, the population increase is:
2500 - 1700 = 800
This implies that:
8n = 800
=> n = 800/8 = 100
The average population growth per year is 100.
Answer:
100
Step-by-step explanation:
aaaaa
Point Q'Q ′ Q, prime is the image of Q(-7,-6)Q(−7,−6)Q, left parenthesis, minus, 7, comma, minus, 6, right parenthesis under the translation (x,y)\to(x+12,y+8)(x,y)→(x+12,y+8)left parenthesis, x, comma, y, right parenthesis, \to, left parenthesis, x, plus, 12, comma, y, plus, 8, right parenthesis. What are the coordinates of Q'Q ′ Q, prime?
Answer:
5,2
Step-by-step explanation: (-7+12=5,-6=8=2) And I Got It Correct On Khan Academy :)
Hope this helps you!!
The coordinate of Q under the translation (x,y)→(x+12,y+8) will be located at Q'(5, 2)
Translation of image is a mathematical term used to move an object through a distance.
Given the coordinate point Q(-7, 6), if this coordinate is under the translation (x,y)→(x+12,y+8), this means we are to shift the x coordinate of Q to the right by 12units and the y-coordinates of Q up by 8 units to get the new location at Q'. Hence:
Q' = (-7 + 12, -6 + 8)
Q' = (5, 2)
This shows that the coordinate of Q under the translation (x,y)→(x+12,y+8) will be located at Q'(5, 2)
Learn more about translation here: https://brainly.com/question/10704056
3(4a+b) What matches this equation
Answer:
12a + 3b.
Step-by-step explanation:
3(4a + b)
= 3 * 4a + 3 * b
= 12a + 3b.
Hope this helps!
Answer:
[tex]12a+3b[/tex]
Step-by-step explanation:
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=3,\:b=4a,\:c=b\\=3\times \:4a+3b\\\mathrm{Multiply\:the\:numbers:}\:3\times \:4=12\\=12a+3b[/tex]
Simplify the expression by using the properties of rational exponents. Write the final answer using positive exponents only. (x4y8)2/3
Answer:
[tex]x^\frac{8}{3} y^\frac{16}{3}[/tex]
Step-by-step explanation:
Given the expression [tex](x^4y^8)^\frac{2}{3}[/tex], to simplify the expression using the rational exponents;
Applying one of the law of indices to simplify the expression;
[tex](a^m)^n = a^{mn}[/tex]
[tex](x^4y^8)^\frac{2}{3}\\\\= (x^4)^\frac{2}{3} * (y^8)^\frac{2}{3}\\\\= x^{4*\frac{2}{3} } * y^{8*\frac{2}{3} }\\\\= x^\frac{8}{3} * y^\frac{16}{3}\\ \\The \ final \ expression \ will \ be \ x^\frac{8}{3} y^\frac{16}{3}[/tex]
A company finds that if they price their product at $ 35, they can sell 225 items of it. For every dollar increase in the price, the number of items sold will decrease by 5.
What is the maximum revenue possible in this situation? (Do not use commas when entering the answer) $
What price will guarantee the maximum revenue? $
The price that guarantees the maximum revenue is $40.
The maximum revenue possible in this situation is $8000.
Given that the company can sell 225 items at a price of $35, and for every dollar increase in price, the number of items sold decreases by 5, we can set up a relationship between price and quantity sold.
Let's denote the price as "P" and the quantity sold as "Q". We can express this relationship as follows:
Q = 225 - 5(P - 35)
This equation represents the decrease in quantity sold as the price increases.
To find the price that guarantees the maximum revenue, we need to find the price at which the quantity sold multiplied by the price is maximized. This is equivalent to finding the maximum value of the revenue function.
Revenue (R) is calculated as:
R = P × Q
To find the price that guarantees the maximum revenue, we need to maximize the revenue function R(P).
Let's substitute the expression for Q into the revenue function:
R(P) = P × (225 - 5(P - 35))
Now, simplify and expand the equation:
R(P) = P × (225 - 5P + 175)
= P × (400 - 5P)
To find the maximum revenue, we need to find the value of P that maximizes R(P). This can be done by finding the critical points of the function, which are the values of P where the derivative of R(P) equals zero.
Let's take the derivative of R(P) with respect to P:
dR(P)/dP = 400 - 10P
Setting the derivative equal to zero and solving for P:
400 - 10P = 0
10P = 400
P = 40
Therefore, the price that guarantees the maximum revenue is $40.
To find the maximum revenue, substitute P = 40 into the revenue function:
R(40) = 40 × (225 - 5(40 - 35))
= 40 × (225 - 5(5))
= 40 × (225 - 25)
= 40 × 200
= 8000
Hence, the maximum revenue possible in this situation is $8000.
To learn more about the derivative;
https://brainly.com/question/24898810
#SPJ12
Find the volume of a cylinder with a radius of 2 and a length of 9
Answer:
V = pi 36 units^3
V =113.04 units^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = pi ( 2) ^2 *9
V = pi 36
Letting pi = 3.14
V =113.04
A type of golf ball is tested by dropping it onto a hard surface from a height of 1 meter. The height it bounces is known to be normally distributed. A sample of 25 balls is tested and the bounce heights are given below. Use Excel to find a 95% confidence interval for the mean bounce height of the golf ball. Round your answers to two decimal places and use increasing order.
Height
81.4
80.8
84.4
85.6
82.9
76.0
80.0
83.2
80.8
79.6
82.9
83.4
82.2
86.0
76.2
84.8
82.0
76.3
77.0
75.4
82.0
79.8
80.4
86.9
82.1
Answer:
79.95, 82.62
Step-by-step explanation:
using excel to find a 95% confidence interval for the mean bounce height of the golf ball
Heights given are :
81.4
80.8
84.4
85.6
82.9
76.0
80.0
83.2
80.8
79.6
82.9
83.4
82.2
86.0
76.2
84.8
82.0
76.3
77.0
75.4
82.0
79.8
80.4
86.9
82.1
The statistical out put of the problem after solving with excel is attached below
therefore the 95% confidence interval from the attached solution will be ( 79.95, 82.62 )
Answer: (79.95, 82.61)
Step-by-step explanation:
Use Excel to calculate the 95% confidence interval, where α=0.05 and n=25.
1. Open Excel and enter the given data in column A. Find the sample mean, x¯, using the AVERAGE function and the sample standard deviation, s, using the STDEV.S function. Thus, the sample mean, rounded to two decimal places, is 81.28 and the sample standard deviation, rounded to two decimal places, is 3.23.
2. Click on any empty cell, enter =CONFIDENCE.T(0.05,3.23,25), and press ENTER.
3. The margin of error, rounded to two decimal places, is 1.33. The confidence interval for the population mean has a lower limit of 81.28−1.33=79.95 and an upper limit of 81.28+1.33=82.61.
Thus, the 95% confidence interval for the mean bounce height of the golf balls is (79.95, 82.61).
The length of a side of a square is \sqrt(x^(2)-4) If the area of the square is 12, find x. A. 16 B. 4 C. 12 D. \sqrt(148)
Answer:
B. 4
Step-by-step explanation:
Let the side of the square= a
Then the area of the square= a²
Given:
a= √x²-4 and a²=12Then:
a²= (√x²-4 )²= x²-4Considering the value of the area, 12 units
x²-4 =12x²=16x= √16x= ±4x= -4 is not considered as the length can't be negativex= 4 is the answerCorrect choice is B. 4
AACB ~AEFD
x = [?]
Enter your answer in decimal form.
Answer:
11.4Solution,
∆ ACB = ∆ EFD
finding the value of X,
[tex] \frac{x}{3.8} = \frac{15}{5} [/tex]
Apply cross product property
[tex]x \times 5 = 15 \times 3.8[/tex]
Calculate the product
[tex]5x = 57[/tex]
Divide both sides by 5
[tex] \frac{5x}{5} = \frac{57}{5} [/tex]
Calculate
[tex]x = 11.4[/tex]
Hope this helps...
Good luck on your assignment...