The following data were reported by a corporation: Authorized shares 28,000 Issued shares 23,000 Treasury shares 7,500 The number of outstanding shares is:
Answer:
nnjvg Step-by-step explanation:
Find the average rate of change of g(x)= -4x^3+1 from x= -4 to x = 1
Answer:
[tex]Rate = -52[/tex]
Step-by-step explanation:
Given
[tex]g(x) = -4x^3 + 1[/tex]
x = -4 to x = 1
Required
Determine the average rate of change
This is calculated using:
[tex]Rate = \frac{g(b) - g(a)}{b - a}[/tex]
Where
[tex]a = x = -4[/tex]
[tex]b = x = 1[/tex]
Calculating g(b):
g(b) = g(1)
If [tex]g(x) = -4x^3 + 1[/tex], then
[tex]g(1) = -4(1)^3 + 1[/tex]
[tex]g(1) = -4*1 + 1[/tex]
[tex]g(1) = -4 + 1[/tex]
[tex]g(1) = -3[/tex]
Calculating g(a):
g(a) = g(-4)
If [tex]g(x) = -4x^3 + 1[/tex], then
[tex]g(-4) = -4(-4)^3 + 1[/tex]
[tex]g(-4) = -4*-64 + 1[/tex]
[tex]g(-4) = 256 + 1[/tex]
[tex]g(-4) = 257[/tex]
So, the formula:
[tex]Rate = \frac{g(b) - g(a)}{b - a}[/tex]
becomes
[tex]Rate = \frac{g(1) - g(-4)}{1 - (-4)}[/tex]
[tex]Rate = \frac{g(1) - g(-4)}{1+4}[/tex]
[tex]Rate = \frac{g(1) - g(-4)}{5}[/tex]
[tex]Rate = \frac{-3 - 257}{5}[/tex]
[tex]Rate = \frac{-260}{5}[/tex]
[tex]Rate = -52[/tex]
A bowl of raffle tickets contains the numbers 1 through 60. What is the probability that a randomly selected ticket will be a number that is not a multiple of 7
Answer:
[tex]Probability = \frac{13}{15}[/tex]
Step-by-step explanation:
Given
Ticket Numbers = 1 to 60
Required
Determine the probability of not selecting multiples of 7
First, we need to list out the multiples of 7 in this range:
[tex]Multiple = 7,14,21,28,35,42,49,56[/tex]
These are 8 in numbers. So, there are 8 multiples
Next, is that we determine the number of non multiples of 7. This s calculated as:
[tex]Non\ Multiples = 60 - 8[/tex]
[tex]Non\ Multiples = 52[/tex]
The required probability is then calculated as:
[tex]Probability = \frac{Non\ Multiples}{Total}[/tex]
[tex]Probability = \frac{52}{60}[/tex]
[tex]Probability = \frac{13}{15}[/tex]
Answer:
Step-by-step explanation:
There are 8 numbers between 24 and 31, inclusive. So the probability of getting a number in that range is 885. Therefore, by the complement rule, the probability of not getting one of these numbers is
[tex]1-(8/85)= 85- 8 /85=77/ 85[/tex]
given the area of a rectangle is 208 square inches, and given the length is 26 inches, find the width
Answer:
8
Step-by-step explanation:
208/26 = 8
CHECK
26x8=208
LxW=A
Can Someone Evaluate This
Explanation:
Replace x with 4. Then use PEMDAS to simplify fully.
[tex]y = (14+x) \div 2\\\\y = (14+4) \div 2\\\\y = 18 \div 2\\\\y = 9\\\\[/tex]
When using PEMDAS, we evaluate the stuff in the parenthesis first. Afterward we divide.
After substituting, what is the first step when evaluating 7 when y = 8? Add 4 and 9. O Multiply 8 by 4. Divide 9 by 7. O Divide 4 by 7.
Note: you did not correctly enter the right expression. After a little research, I am able to find the correct expression which is as follows:
4y+9/7 when y = 8
Therefore, I am solving your query based on evaluating the expression
4y+9/7 when y = 8
Answer:
we conclude that after substituting, the first step is to 'Multiply 8 by 4'.
Step-by-step explanation:
Given the expression
4y+9/7
As we have to evaluate the given expression for the y=8
substituting y=8 in the expression
4y+9/7
= 4(8)+9/7
According to PEMDAS rule, we first need to do multiplication
Thus, the first step must have to be multiplying 4 and 8.
= 32 + 9/7
= 233/7
Therefore, we conclude that after substituting, the first step is to 'Multiply 8 by 4'.
PLEASE HELP!! I’L MARK AS BRAINLIEST!!
The flow of water out of a bathtub would best be described as which type of data?
A. Discrete
B. Continuous
C. Linear
Answer:
Continuous
Step-by-step explanation:
Which triangle pairs are not necessarily congruent? Select all that apply:
Answer:
The answer is A because the one on the side is smaller then one one on the side
Step-by-step explanation:
The second option triangle pairs are not necessarily congruent.
What are congruent triangle?Congruent triangles have the same corresponding angle measures and side lengths.
Given are five triangles,
In the second pair of the triangles, only angles are equal, which makes them similar not congruent.
Hence, The second option triangle pairs are not necessarily congruent.
For more references on Congruent triangles, click;
https://brainly.com/question/22062407
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The product of two positive numbers is 48. Determine the two numbers if one number is triple the other
Step-by-step explanation:
x+x(3)=48
combine like terms
4x=48
Divide both sides by same term
4x/4=48/4
Simplify
x=12
Answer:
4
Step-by-step explanation:
(x * 3) * x = 48 ----> (4 * 3) * 4 = 48
The * are the multiplication signs. And hope this helps please choose my answer as the best so I can get brainliest pls.
Select the correct statement based on the relation shown above.
A)
The relation is a function because every element of the domain has exactly one corresponding element of the range.
B)
The relation is a function because every element of the range has been used.
C)
The relation isn't a function because not every element of the range has a corresponding element of the domain.
D)
The relation isn't a function because an element of the domain corresponds to two different elements of the range.
Answer:
The answer is D.
Step-by-step explanation:
hope that helps
follow these steps to prove the given quadrilateral is a parallelogram 1. determine the slope of AB
Answer:
1.) 4/3
2.) 4/3
3.) 5
4.) 5
Step-by-step explanation:
I just took the test
Answer:
4/3
Step-by-step explanation:
i just did the assignment
Mrs. Culland is finding the center of a circle whose equation
is x2 + y2 + 6x - 4y – 3 = 0 by completing the square. Her
work is shown.
x2 + y2 + 6x + 4y - 3 = 0
x2 + 6x + y2 + 4y - 3 = 0
(x2 + 6x) + (12 + 4y) = 3
(x2 + 6x + 9) + (y2 + 4y + 4) = 3 + 9 + 4
Which completes the work correctly?
(x - 3)2 + ( - 2)= 42, so the center is (3,2).
(x + 3)2 + (y + 2)2 = 42, so the center is (3, 2).
(x - 3)2 + (x - 2)2 = 42, so the center is (-3,-2).
(x + 3)2 + (y + 2)2 = 42, so the center is (-3, -2).
Answer:
centre of circle (h,k) is (-3,-2)
Option D is Correct.
Step-by-step explanation:
The centre of circle can be found from the equation as:
[tex](x-h)^2+(y-k)^2=r^2 \ then \ (h,k) \ is \ center[/tex]
So, the steps then by Mrs Culland are:
[tex]x^2 + y^2 + 6x + 4y - 3 = 0\\x^2 + 6x + y^2 + 4y - 3 = 0\\(x^2 + 6x) + (y^2 + 4y) = 3\\(x^2 + 6x + 9) + (y^2 + 4y + 4) = 3 + 9 + 4[/tex]
The next step will be:
[tex](x + 3)^2 + (y + 2)^2 = 16[/tex]
I assume there is some calculating mistake in the given options. Instead of 42 there should be 16, according to solution shown above.
The general equation of circle is
[tex](x-h)^2+(y-k)^2=r^2 \ then \ (h,k) \ is \ center[/tex]
In our case: [tex](x + 3)^2 + (y + 2)^2 = 16[/tex]
h= -3 and k= -2, so the centre of circle (h,k) is (-3,-2)
Option D is Correct.
Answer:
D,,,, (x+3)²+(y+2)²=4², so the center is (-3, -2).
Step-by-step explanation:
x = 10 - y and y = x - 8
Answer:
x = 9 and y = 1
Step-by-step explanation:
Here,
x = 10 - y and y = x - 8 is given
then, name the equation
x = 10 - y ...(1)
y = x - 8 ...(2)
Now, put the value of x in equation (2) we get
y = x - 8
y = (10 - y) - 8
y = 10 - y - 8
y + y = 10 - 8
2y = 2
y = 2÷2
y = 1
Here, we get the value of y = 1
Now, we put the value of y in equation (1) we get
x = 10 - y
x = 10 - (1)
x = 10 - 1
x = 9
VERIFICATION:x = 10 - y
9 = 10 - 1
9 = 9
Hence, LHS = RHS
-TheUnknownScientist
In Tayshia's pantry, there are bags of Cheetos and Doritos. The ratio of Cheetos to total bags of chips in her pantry is 9 to 16.
Which number could be the number of Doritos in Tayshia's pantry?
Please help
Multiple choice
Will appreciate it if u help!
Answer:
Linear
Step-by-step explanation:
It's constant. Each X is going up 1 while each Y is going up 80
given r,s, and p, which angle is not congruent to 4?
Answer:
Line R, S, and P are parallel lines meaning any lines that pass through them will form the same angles. Look at 4 and 2. One line is intersecting S and P to for the same angles. Corresponding angles in parallel lines which are formed by an intersecting line are equal. Therefore 4 and 2 are equal. That leaves B, C, and D left. 4 is also congruent to 5. This is because if 4 is congruent to 2 and 2 is congruent to 5 by vertical angles theorem, 5 must be equal to 4 (transitive property of equality: is a=b and b=c then a=c)
That leaves B and D left. Notice the angle made at the very top left. Across from that unlabeled angle is 6. By vertical angles theorem those 2 angles are congruent. The unmarked angle is equal to 2 and 4 because corresponding angles in parallels are congruent. Therefore lets mark that unmarked angle as 0. If the m< 6 = m< 0 and the m<0= the m<4 then m<6 must equal the m<4.
That leaves Just B remaining thus B is NOT congruent to 4
<3 is the answer
Step-by-step explanation:
How do you multiply and divide rational expressions?
Step-by-step explanation:
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction.
Step 3: Simplify the rational expression.
Step 4: Multiply any remaining factors in the numerator and/or denominator.
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction
If DEF is congruent to JKL, DE = 18, EF =23, DF = 9x-23, JL = 7x-11, and JK = 3y-21, find the values of x and y
Answer:
x = 6, y = 13Step-by-step explanation:
if DEF is congruent to JKL, this means that the sides of JKL are all equal to that of DEF.
Hence we can say;
DE = JK
EF = KL
DF = JL
Given
DE = 18,
EF =23,
DF = 9x-23,
JL = 7x-11
JK = 3y-21,
Required
Values of x and y
Since DE = JK;
18 = 3y-21
18+21 = 3y
39 = 3y
y = 39/3
y = 13
Also, DF = JL
9x-23 = 7x-11
collect like terms
9x - 7x = -11+23
2x = 12
x = 12/2
x = 6
Hence the value of x is 6 and y is 13
Given: [tex]DE=18[/tex],[tex]EF=23,DF=9x-23,JL=7x-11,[/tex] and[tex]JK=3y-21.[/tex]
As [tex]\Delta[/tex][tex]DE[/tex][tex]F[/tex] [tex]\cong[/tex] [tex]\Delta JKL[/tex]
[tex]\Rightarrow DE=JK \ ; EF=KL \ and \ DF=JL[/tex]
[tex]\Rightarrow 18=3y-21 \ ; 23=KL \ and \ 9x-23=7x-11[/tex]
[tex]y=13[/tex] ; [tex]KL=23[/tex] and [tex]x=6[/tex]
Therefore, [tex]x=6[/tex] and [tex]y=13[/tex]
Please answer see the image 30 points!
Answer:
37.7Step-by-step explanation:
perimeter of semicircle = 1/2 π d
= 1/2 π (6)
= 9.425 x 4 semicircles
= 37.7
Help me please I will give brainlist to whoever that does explaination
Answer:
1 and 7/30 minutes
Step-by-step explanation:
You know that the 3 commercials add up to 3 minutes of time. And that the first two are 1 1/6 minute and 3/5 minute. To add them you need a common denominator.
1 1/6=7/6. 7/6*5/5=35/30. 3/5*6/6=18/30. 35/30+18/30=53/30. 53/30 simplifies to 1 23/30 (don't need to simplify yet).Now, you need to subract that from 3. To write it over 30, multiply by 30/30. 3/1*30/30=90/30.90/30-53/30=37/30. 37/30 can be written as 1 7/30.What is the derivative of this?
Dy/dx=x^2y+y^2x
Answer:
y^2+2xy/-x^2-2xy OR -y^2-2xy/x^2+2xy OR -y^2-2xy/(x)(x+2y)
Step-by-step explanation:
So, this is an implicit differentiation problem
x^2y+y^2x
so,
use product rule for both
x^2y'+2xy+y^2+2yy'x
collect all the y's
-x^2y'-2xyy'=y^2+2xy
y'(-x^2-2xy)=y^2+2xy
=y^2+2xy/-x^2-2xy
Monthly sales of water heaters are normally distributed with a mean of 21 and a standard deviation of 5. What is the probability of selling 12 water heaters or
less?
a) 3.59%
Ob) 1.8096
O c) 96.41%
O d) 8.45%
Answer:
Option A: 3.59% is the correct answer
Step-by-step explanation:
Z-score is used to calculate the probabilities when mean and standard deviation is given.
Given
Mean = μ = 21
SD = σ = 5
We have to find the probability of selling 12 or less water heaters so our x value is 12
x = 12
The z-score of a value is calculated as:
z-score = (x-μ)/σ
Putting the values
[tex]z-score=\frac{12-21}{5} \\=\frac{-9}{5}\\=-1.8[/tex]
Now z-score table will be used to calculate the probability for z= -1.8
So we will go for the row with -1.8 and column 0, which gives us: 0.03593
As we have to calculate the probability in percentage
[tex]=0.03593*100\\= 3.593\%[/tex]
Hence,
Option A: 3.59% is the correct answer
Find the slope and Y-intercept for each table, and then write an equation.
Answer:
a. Slope = 2; y-intercept = 2
b. Slope = 2; y-intercept = 3
c. Slope = 2; y-intercept = -1
d. Slope = -2; y-intercept = 5
e. Slope = -3; y-intercept = -5
d. Slope = -2; y-intercept = 1
Step-by-step explanation:
I Hope That This Helps! :)
Which calculation can be used to find 6% of 50?
Answer:
3
Step-by-step explanation:
We are required to find 6% of 50
To write it mathematically,
50 * 6%
Now, 6% can be rewritten as 6/100 because it tells us: '6 out of 100' and that is what percentage does
= 50 * [tex]\frac{6}{100}[/tex]
= [tex]\frac{300}{100}[/tex]
= 3
Hence, 6% of 50 is 3
this is an easy question so whoever is the first one who gets all of them I will make you the brainlist queen or King
Answer:
1. 3.87
2. 7.07
3. 69.89
4. 70.87
Step-by-step explanation:
intercept from the lines
Answer:
I mean tbh its pretty easy
The y intercept is: (0, 2.5)
The x-intercept is: (3.5,0)
just look at the graph lol but if im
wrong sorry
write the percent as fraction: 8⅓%
Answer:
2700%
Step-by-step explanation:
8 1/3% expressed as a fraction is:
25/3
The given number is in mixed fraction 8 1/3 .
To write it in fraction follow the steps,
Step 1 - Multiply 8 by 3,
8x3=24
Step 2 - Add 24 and 1,
24+1=25
The required fraction became 8 1/3 = 25/3 .
Hopes this helps :)
Find the perimeter of quadrilateral ABCD with vertices A(-2,-2), B(-1,3),
C(5, 3), and D(4, -2).
Answer:
22.2Step-by-step explanation:
Step one
given the coordinates
ABCD with vertices A(-2,-2), B(-1,3), C(5, 3), and D(4, -2)
AB=(-2,-2),(-1,3)
BC=(-1,3), (5, 3)
CD=(5, 3),(4, -2)
DA=(4, -2),(-2,-2)
The distance between points AB=
[tex]AB= \sqrt (x_2-x_1)^2+(y_2-y_1)^2[/tex]
[tex]AB= \sqrt (-1+2)^2+(3+2)^2\\\\AB= \sqrt 1^2+(5)^2\\\\AB= \sqrt26\\\\AB=5.1[/tex]
The distance between points BC=
[tex]BC= \sqrt (5+1)^2+(3-3)^2\\\\BC= \sqrt 6^2+(0)^2\\\\BC= \sqrt36\\\\BC=6[/tex]
The distance between points CD
[tex]CD= \sqrt (4-5)^2+(-2-3)^2\\\\CD= \sqrt -1^2+(-5)^2\\\\CD= \sqrt26\\\\CD=5.1[/tex]
The distance between points DA
[tex]DA= \sqrt (4+2)^2+(-2+2)^2\\\\DA= \sqrt 6^2+(0)^2\\\\DA= \sqrt36\\\\DA=6[/tex]
Hence the perimeter = 5.1+6+5.1+6
= 22.2
Select all equations that have the solution x = 7.
a. 2(x + 7) = 28
b. 6(2x - 1) - 12 = -2(x + 10)
c. 60 = 4(x + 8)
d. 3(x - 5) = 1 + 5(x - 6)
Answer:
The correct answer is A.
Step-by-step explanation:
1. 2(x+7)
2. 2(7+7)
3. 2(14)
4. 28
Hope this helps!
Answer:
a, c and d
Step-by-step explanation:
NEED HELP 45 POINTS PLZ
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a congruence statement.
If no, justify your answer.
put your answer in comments plz because it will be deleted