Making 'b' the subject of formula gives b = a² - 6
How to determine the subject of formulaIt is important to note that the subject of formula is described as a variable that is made up to stand alone in an equation.
The subject of formula is the variable that is worked out on on side of the equation sign.
From the information given, we have the equation;
a = [tex]\sqrt{(b + 6)}[/tex]
To make 'b' the subject of formula, we take the following steps;
Find the square of both sides, we get;
a² = [tex](\sqrt{(b + 6)} ^2[/tex]
Cancel out the square, we get;
b + 6 = a²
collect the other terms on one end of the equation, we have;
b = a² - 6
Hence, the equation is b = a² - 6
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5.5555 pounded to the nearest
hundredth
IS
Answer:
5.55000
Step-by-step explanation:
i think
Answer:
5.56
Number:
5.555
Nearest:
Hundredths (2 decimals)
Mode: Round
=5.56
What are the solutions of the equation 12 + 15 - 79?
find the length of the segment from A to B, round to the nearest tenth.
Answer:
Length AB = square root [5^2 + 3^2]
AB = square root [34]
AB = 5.8309518948
= 5.8 rounded
Step-by-step explanation:
can someone please tell me what angle x is
Answer:
it's an angle X duh he he he be
What is the area of the trapezoid? The diagram is not drawn to scale.
A. 36 cm2
B. 9 cm2
C. 21 cm2
D. 16.5 cm2
Answer:
Area of trapezoid = 21 cm²
Step-by-step explanation:
Given:
Length of rectangular shape = 4 cm
Width of rectangular shape = 3 cm
Base of triangle = 3 cm
Number of triangle = 3 cm
Find:
Area of trapezoid
Computation:
Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]
Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]
Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]
Area of trapezoid = 12 + 9
Area of trapezoid = 21 cm²
Help me please help me I really need help
Answer:
44%
0.44 is 44% of 1.
There are 11 shirts to select from in a store.
How many ways can 5 different shirts be selected?
PLEASE HELP
Given:
Total number of shirts to select from in a store = 11
To find:
How many ways can 5 different shirts be selected?
Solution:
Number of to select r items from n items is:
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Total number of ways to select 5 different shirts from 11 shirts is:
[tex]^{11}C_5=\dfrac{11!}{5!(11-5)!}[/tex]
[tex]^{11}C_5=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{5\times 4\times 3\times 2\times 1\times 6!}[/tex]
[tex]^{11}C_5=\dfrac{11\times 10\times 9\times 8\times 7}{5\times 4\times 3\times 2\times 1}[/tex]
[tex]^{11}C_5=462[/tex]
Therefore, there are 462 ways to select 5 different shirts.
The following are the temperatures of 10 days in winter in °C. 5, 4, 4, -1, 4, 10, 9, 8, 6, 4 Work out the mean temperature.
Answer:
Answer is 5 °C.
Step-by-step explanation:
5 is answer
Answer:
The mean temperature is 5.3 degree Celsius
Step-by-step explanation:
5+4+4-1+4+10+9+8+6+4
= 53
So,
53/10
= 5.3
mark me brainliest plss :))
PLEASE H LP ME WITH THIS AND SHE WANTS US TO SHOW WORK AND I NEED THE ANSWER AND THE WORK
ok lets convert first
1/2=0.5
Then divide
2/0.5=4
so now we multiply 50 with 4
50*4=200
The answer would be D
D, 200 miles
Help would be appreciated for this question!!!
Answer:
A
Step-by-step explanation:
Recall that sin = opposite over hypotenuse
For ∠A we are already given its opposite side length ( 2 ) however the hypotenuse has not been identified.
The triangle shown is a right triangle ( indicated by the little square on the bottom left ) which means that we can find a missing side length, more specifically the hypotenuse, using the Pythagorean theorem
[tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse
we are given that the legs = 2 and 4 and need to find the hypotenuse
That being said we plug in what we are given and solve for c
[tex]2^2+4^2=c^2\\2^2=4\\4^2=16\\16+4=20\\20=c^2[/tex]
In order to get the exact value of c we must get rid of the exponent.
To do so we can take the square root of both sides
[tex]\sqrt{20} =\sqrt{20} \\\sqrt{c^2} =c\\c=\sqrt{20}[/tex]
hence, the hypotenuse = √20
Now lets look back at the question
Find sin∠A to the nearest hundredth.
well remember sin = opposite over hypotenuse
The opposite of sin∠A is 2 and the hypotenuse is √20
Hence, sin∠A = [tex]\frac{2}{\sqrt{20} }[/tex] which is equivalent to .447213595
Our last step is to round to the nearest hundredth
We get the sin∠A = .45
jake plays baseball with two wooden bat one made from hickory and one made from white ash what is the weight of the white ash if his hikory bat weght 32.4 ounse and both bat togethere weight 64.33
Need help fast what are values of x and y
Answer:
y = 52
x = 5
Step-by-step explanation:
14 x + y = 122
y = 52
x = 5
Use your calculator to find the trigonometric ratio sin 79°
Answer:
0.982
Step-by-step explanation:
Use your calculator to find the trigonometric ratio sin 79°
Answer: 0.982
Triangle A'B'C' is the image of ABC under a rotation about point P.
Determine the angle of rotation.
-75
-45
45
75
Answer:
its 45
Step-by-step explanation
It's right I did it on khan
(3,5) and (9,10) find the slope that passes through the given points
Answer:
5/6
Step-by-step explanation:
slope = (difference in y)/(difference in x)
slope = (10 - 5)/(9 - 3) = 5/6
Answer: 5/6
Answer:
Hi! The answer to your question is [tex]m=5/6[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Can someone please explain Conditional probability to me
Answer:
conditional probability is probability based on logic and past events instead of your current data which you got from whichever experiment you did (that is experimental probability)
Step-by-step explanation:
A cylinder with radius 6 cm and height h cm has the same volume as a sphere with radius 4.5cm
Find the value of h.
(The volume, V, of a sphere with radius r is V=4/3pie r^3)
Answer:
h = 4.22 cm
Step-by-step explanation:
Mathematically, we have the volume of a cylinder as;
V = pie * r^2 * h
We have it that the radius is 6 cm
V = pie * 6^2 * h
for the sphere, we have it that;
V = 4/3 * pie * r^3
V = 4/3 * pie * 4.5^3
We can proceed to equate both volumes;
pie * 6^2 * h = 5/3 * pie * 4.5^3
pie on both sides cancel out
6^2h = 5/3 * 4.5^3
36h = 151.875
h = 151.875/36
h = 4.22 cm
ACELLUS PLZ HELP ASAP
6101
4629
10730
What is the probability that a given student is a
graduate, given that he or she is on financial aid?
Answer:
The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Step-by-step explanation:
To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:
6101 = 100
1879 = X
1879 x 100/6101 = X
187,900 / 6101 = X
30,798 = X
Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Answer:
31%Step-by-step explanation:
please help!! I'm really confused:(
[tex]60\% = 180\\1\%=\frac{180}{60} = 3[/tex]
[tex]100\% - 60\% = 40\%\\40\% = 3*40=120[/tex]
Answer: 120 cans.
A manager of a telemarketing firm is trying to increase his employees' productivity. The table shown indicates the number of months the employees have been working and the number of calls they successfully complete with customers per day.
a. Construct a scatter plot of the data.
b. Based on the shape of the scatter plot, is a linear regression appropriate? What type of correlation appears to be present?
c. W rite a function c(m) to represent the line of best fit. Then interpret the function in terms of the problem situation.
d. Compute and interpret the correlation coefficient.
e. Calculate the residuals for the data and create a residual plot of the data.
f. Based on the residual plot, is a linear model appropriate for the data? Explain your reasoning.
g. Should the manager use a linear regression equation to predict how many successful calls an employee will make if they have been employed for 36 months? Explain your reasoning.
i got it right cus im smart
What is the value of x????
Answer:
[tex] \cos(30) = \frac{ \sqrt{3} }{2 } = \frac{4 \sqrt{3} }{x} \\ x = 8 \sqrt{3} \div \sqrt{3} = 8[/tex]
Answer:
x = 8
Step-by-step explanation:
√3 4√3
Note that cos 30 degrees (which is ---------) equals ---------
2 x
which simplifies to:
1 4
---- = -----
2 x
so that x = 8
5. Find dy/dx of
of the following
the following functions
y²= 4ax
Answer:
A general rule for functions of the general form:
y = A*x^n
is:
dy/dx = n*A*x^(n - 1)
Then, for the function:
y^2 = 4*a*x
Then we can rewrite this as:
y = (4*a*x)^(1/2) = √(4*a)*x^(1/2)
Then we have:
A = √(4*a)
n = 1/2
Now we can use the above rule to get
dy/dx = (1/2)*√(4*a)*x^(1/2 - 1)
dy/dx = (1/2)*√(4*a)*x^(-1/2)
dy/dx = (1/2)*√(4*a/x)
dy/dx = √(1/4)*√(4*a/x)
dy/dx = √( (1/4)*4*a/x)
dy/dx = √(a/x)
On Tuesday, there were 400 customers at a movie theater, and each customer paid $8 for a ticket. On Wednesday, the owner of the movie theater reduced the regular ticket price from $8 to $6 for tickets that were purchased before 6 p.m. If the daily ticket sales for the two days were the same, and 100 people paid $8 for a ticket on Wednesday, how many people paid $6 for a ticket on Wednesday?
Answer:
400
Step-by-step explanation:
6x + 800 = 3200
6x = 3200 - 800
6x = 2400
= 2400 / 6
x = 400
Hope this answer helps you :)
Have a great day
Mark brainliest
The number of people who paid $6 for a ticket on Wednesday are 300.
What is subtraction?The act or process of subtracting is a mathematical operation in which the difference between two numbers or quantities is calculated.
According to the given question.
Number of tickets sales for Wednesday = 400
Also, on Wednesday number of people who paid $8 for tickets = 100
Therefor,
The number of people or customer who paid $6 for a ticket on Wednesday = Total number of people who purchased tickets - total number of people who purchased tickets for $8
[tex]= 400 - 100\\= 300[/tex]
Hence, the number of people who paid $6 for a ticket on Wednesday are 300.
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Help^^^^^^^^^^^^^^^^^
Answer:
A,
23/6v+28
Step-by-step explanation:
Answer:
D. 23/6v+28
Step-by-step explanation:
Anyone know how to do this
Answer:
c or a
Step-by-step explanation:
Answer:
A(-3,-1)-----A'(-1,2)
B(2,1)------B'(4,4)
here
x is increased by -1--3=2
and
y is increased by2--1= 3
so
A.(x',y')=(x+2,y+3)
martinbly.com
b)
Find the surface area of the prism.
10 ft
12 ft
5 ft
16 ft
19.6 ft
Answer:
55.5
Step-by-step explanation:
a grab bag contains 20 packages worth $0.70 each 15 packages $0.60 each and five packages worth 30 cents each what is the expected value if you have to pay fifty cents each to pick one package at random
Answer:
The expected value is $0.1125
Step-by-step explanation:
The number of packages worth $0.70 in the grab bag = 20
The number of packages worth $0.60 in the grab bag = 15
The number of packages worth 30 cents in the grab bag = 5
The amount paid to pick one package = 50 cents
The number of packages in the bag, n = 20 + 15 + 5 = 40
The total value of the packages in the grab bag, 'V', is given as follows;
V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 = $24.5
The average value of the packages in the bag, A = V/n
∴ A = $24.5/40 = 0.6125
The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows
Whereby a $0.70 package is picked up, we have;
E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10
Whereby a $0.60 package is selected, we have;
E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375
Whereby a $0.30 package is selected, we have;
E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)
Therefore, the expected value, E(X), is found as follows;
E(X) = E(X)₁ + E(X)₂ + E(X)₃
E(X) = 0.1 + 0.0375 - 0.025 = $0.1125
The expected value, E(X) = $0.1125
Alana listed the lowest temperatures recorded in some states
State
Lowest temperature recorded (°F)
-80 Alaska
0 Florida
12 Hawaii
-34 New Jersey
-34 North Carolina
Alana wrote inequalities to compare the temperatures.
Choose all of the correct
inequalities that Alana wrote.
A 12 > 0
B. 0> -34
C. 12<-34
D. -80 < 12
E-34 <-80
The correct inequalities that alana wrote is
B) 0> -34
D) -80< 12
How many possible passwords can you have if you can use numbers, letters, or capital letters but you must have at least one capital letter and your password needs to be exactly 5 characters long.
Answer:
628 possible passwords.
1/10 of the M&M's in a bag are red and 1/5
are blue. What fraction of all the m&ms
are red and blue?
Answer:
3/10 of all the M & M's are red and blue.
Step-by-step explanation:
Given that 1/10 of the M & M's in a bag are red and 1/5 are blue, to determine what fraction of all the M & M's are red and blue, the following calculation must be performed:
1/10 = 0.10
1/5 = 2/10 = 0.20
1/10 + 2/10 = X
3/10 = X
Therefore, 3/10 of all the M & M's are red and blue.