Answer: 6, 48 and 7, 56 and 9, 72 and 10,80
Step-by-step explanation:
Lea
owhs 800 shares of ABC, Incorporated. On April 6, the corporation Instituted a 5-for-2 stock split. Before the split, each share was worth $42.60.
a. How many shares did Lea hold after the split?
b. What was the post-split price per share?
c. Show that the split was a monetary non-event for Lea. Pre-split and post-split market values=
Answer:
2000
Step-by-step explanation:
Number of shares after split is 5/2 times the pre split value =800*5/2 = 2000
solution to this inequality 15+x<24
Answer: x < 9
Step-by-step explanation:
Move all terms not containing x to the right side of the inequality.
Which term of the arithmetic sequence 7, 3, -1, -5, ... is -385?
99th term of the given arithmetic sequence 7, 3, -1, -5, ... is -385.
We are provided with the arithmetic sequence mentioned below;
7, 3, -1, -5, ................. -385
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n−1)d
where [tex]a_{1}[/tex] is the first term, [tex]a_{n}[/tex] is the nth term and d is the difference between a term and its previous term.
With the help of provided arithmetic sequence we can write;
[tex]a_{n}[/tex] = -385
[tex]a_{1}[/tex] = 7
d = difference between a term and its previous term = 3 - 7 = -4
Put these values in equation 1 , we will get
-385 = 7 + (n-1) (-4)
392 = 4n -4
4n = 396
n = 99
So we can conclude that the 99th term of the arithmetic sequence 7, 3, -1, -5, ... is -385.
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Make x the subject of m= n + x/p
Answer:
x=mp-n
so that leaves us with the answer
Step-by-step explanation:
m=n+x/p
first you want to move the P over to the left side by x P
so:
mp=n+x
the P on the right side cancels out
now you want to move the n to the left side by subtracting it form both sides
i need your helppppppp
The result of the function n(x)= [tex]-1-\frac{1}{3}x+1\frac{2}{3}[/tex] when x = -2,0 and 5
n(-2) = 4/3
n(0) = 2/3
n(5) = -1
The function is n(x)= [tex]-1-\frac{1}{3}x+1\frac{2}{3}[/tex]
The function is an equation which expression the relationship between one variable and another variable. If one variable is independent variable then another variable will be dependent variable.
The function is n(x)= [tex]-1-\frac{1}{3}x+1\frac{2}{3}[/tex] when x= -2,0 and 5
Here we have to substitute the value of x in the given function
n(-2) = -1-(1/3)(-2)+5/3
= -1+(2/3)+5/3
= 4/3
n(0) = -1-(1/3)(0)+5/3
= -1+(5/3)
= 2/3
n(5) = -1-(1/3)(5)+5/3
= -1-(5/3)+(5/3)
= -1
Hence, the result of the function n(x)= [tex]-1-\frac{1}{3}x+1\frac{2}{3}[/tex] when x = -2,0 and 5
n(-2) = 4/3
n(0) = 2/3
n(5) = -1
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what is the expression for t-3
The mathematical statement of the expression t - 3 is the difference between t and 3
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the expression?The algebraic expression is given as
t - 3
The above mathematical representation is an algebraic expression that is already in its most simplified form
This means that the algebraic expression cannot be further simplified
However, the algebraic expression can be rewritten as a mathematical statement
Recall that, we have
t - 3
The pronunciation of the above expression is:
t minus 3
In expressions, minus represents difference
So, we have
t minus 3 can be represented as the difference between t and 3
Hence, the representation of the algebraic expression given as t - 3 is the difference between t and 3
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find the unit rate9 books for $99 how much for 1 book
Answer:
Step-by-step explanation:
To find the unit rate, we divide the price by the number of items bought.
In this question:
Price: $99
Items: 9 books
Unit rate: $99/9 = $11
The unit rate is of $11 per book.
y’all pls help smakhwhwhdhdj
Answer:
x = 22° (alternate angles, M//N)
use the given domain to find the range of function. help please
The range for the given domain D = {2, -3, 0} of the function f(x) = 2x² + 7 is; R = {7, 15, 25}
What is the Range of the Function?We are given the function as;
f(x) = 2x² + 7
We are given the domain set as;
D = {2, -3, 0}
Now, the range will simply be gotten by plugging in each domain value into the given function to get the output. Thus;
Range when x = 0 is;
y = 2(0)² + 7
y = 7
Range when x = 2 is;
y = 2(2)² + 7
y = 15
Range when x = -3 is;
y = 2(-3)² + 7
y = 25
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someone help me please!
The y intercept of the function f(x) = 2^2−4 is 0
The x intercept of the function f(x) = 2^2−4 is 0 or 2
The zeros of the function f(x) = 2^2−4 is 0 or 2
When f(x) = f(-4) then the function f(-4) = 48
When f(x) = 2 then x = -0.4142 or 2.142
How to fine the intercepts and the zeros
given data
f(x) = 2^2 − 4
The y intercept
f(x) = 2^2−4
y = 2^2−4
at x = 0
y = 2 ( 0 ) ^2 - 4 ( 0 )
y = 0 - 0
y = 0
The x intercept
f(x) = 2^2 − 4
y = 2^2− 4
at y = 0
0 = 2^2− 4
0 = 2x( x - 2 )
2x = 0 OR x - 2 = 0
x = 0 OR x = 2
The zeros
This same as the x intercept
f(-4)
f(x) = 2^2− 4
f(-4) = 2 (-4)^2 - 4 * -4
f(-4) = 2 * 16 + 16
f(-4) = 48
f(x) = 2 when x =
f(x) = 2^2− 4
2 = 2x( x - 2 )
1 = x^2 - 2x
0 = x^2 - 2x - 1
x = -0.4142 or 2.142
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Please help me my mom is very upset and I’m grounded
Chris designs a flag.
20% of the flag is white and the rest is pink.
What is the ratio of white to pink?
Cual es elvalor absoluto del opuesto de 2,5 ?
Answer:|2.5|
Step-by-step explanation:
En este caso el valor absoluto de 0 a |2.5| es 2.5. Esto se debe a que ya sea que cambies la ecuación o no para que sea igual a otro número, la respuesta SIEMPRE será 2.5. ¡Espero que esto haya ayudado! :D
Ben can type 25 words in half a minute. At this rate, how many words can he type in 5 minutes?
250 word in 5 minutea
Step-by-step explanation:
1. 25×2 (Because 25 is half of a minute so I need to multiplie by two)
2. It gives you 50 u multiplie by 5 because u need to find the answer for 5 minutes
3. 50×5= 250!!
Answer:
250
Step-by-step explanation:
25x2 (wpm) * 5 (minutes) = 250
words per minute means words typed every minute. if ben types 50 words per minute, this means he can type 250 words in 5 minutes.
(sorry for edit, i misread words in half minute as words per minute, credit to lina6561 for making me realize)
Work out the values of a, b, c and d.
Justify each of your answers.
W
Z
33%
aº
16°
45°
d°
80°
22%
X
Y
Not drawn accurately
Answer69
Step-by-step explanation:
Select the correct answer.
Which inequality is represented by the number line?
Answer:
I think C. Correct me if I am wrong.
Step-by-step explanation:
Hope it helps! =D
Answer: The answer is C.
Step-by-step explanation: Because I use a graphing calculator
what is the percent of 10 of 20 please give me a better understanding
We need to calculate the 10% of 20. By definition, a% is:
[tex]a\text{ \%}=\frac{a}{100}[/tex]Where a can be any positive number. In this case a = 10, then:
[tex]10\text{ \%}=\frac{10}{100}=\frac{1}{10}[/tex]In mathematics, the word "of" is reserved for the product. Then 10% of 20 is just:
[tex]10\text{ \% of }20=\frac{1}{10}\cdot20[/tex]Solving this leads to 2.
Answer:
50 percent.
Step-by-step explanation:
10 of 20 as a fraction is
10/20
- divide top and bottom by 10 and this simplifies to
1/2.
To convert to a percentage we multiply by 100:
= 1/2 * 100
= 50%.
Please help!! I’ve been stuck on this for days
Answer
Step 1: 6,3
Step 2: x1 -1 y2- 2
Step 3: 1, 7
Step-by-step explanation:
Using the figure below, Maggie used the definition of vertical angles to help her solve for x. Since vertical angles are congruent, she set the two given expressions equal to each other. After solving for x, her teacher said she got the wrong value for x. Explain where Maggie made her mistake when solving for x.
Using vertical angles, Maggie made her mistake when combining the like terms of x, which has a result of -3x and not 3x, hence the correct result is of x = 9.
What are vertical angles?Vertical angles are two angles that are opposite by the same vertex when two lines cross each other, and they are congruent, that is, they have the same measure.
For this problem, the vertical angles are given as follows:
4x + 2.7x - 25.Since they are congruent, we can solve for the variable x as follows:
4x + 2 = 7x - 25.
Moving all the terms with x to the left side of the equality and all the constant terms to the right side, with opposite signal, we have that:
4x - 7x = -25 - 2
Combining the like terms, it is found that:
-3x = -27.
Here happened Maggie's mistake, as 4x - 7x = -3x, hence the correct solution is given by:
3x = 27
x = 27/3
x = 9.
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2) What is the equation for the below function? Show your work!
The equation for the given function passing through (0,5) and (4,0) is equal to y = (-5 /4)x +5.
As given in the question,
As shown in the graph drawn we have
( x₁ , y₁ )=(0, 5)
( x₂ , y₂ )=( 4, 0)
Equation for the given function passing through ( x₁ , y₁ ) = (0, 5) and
( x₂ , y₂ )=( 4, 0) is given by :
( y - y₁ )/ (x -x₁ )=( y₂ - y₁ )/( x₂ - x₁ )
⇒( y -5) / (x -0)=( 0 -5)/( 4 -0)
⇒( y - 5) /x=-5/4
⇒y -5=(-5/4)x
⇒y=(-5/4)x + 5
Therefore, the equation for the given function passing through (0,5) and (4,0) is equal to y=(-5 /4)x +5.
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whats the first answer
a.
[tex] {3}^{2} \times {3}^{x} = {3}^{7 \\ } \\ \\ {3}^{2 + x} = {3}^{7} \\ 2 + x = 7 \\ x = 7 - 2 \\ x = 5[/tex]
b.
[tex] {7}^{8} \div {7}^{y} = {7}^{6} \\ {7}^{8 - y} = {7}^{6} \\ 8 - y = 6 \\ y = 8 - 6 \\ y = 2[/tex]
c.
[tex]( {q}^{4} )^{z} = q ^{12} \\ q^{4 \times z} = q^{12} \\4 z = 12 \\ \frac{4z}{4} = \frac{12}{4} \\ z = 3[/tex]
I used the laws of exponents.
given a normal distribution with mean 100 and standard deviation 10, find the number of standard deviations the measurement is from the mean. express the answer as a positive number. 87
The measurement deviates from the mean by more than 100 standard deviations.
What does simple math standard deviation mean?It's a way to gauge how widely apart each data point is from the mean. The standard deviation formula comes in two different forms: Standard deviation for the population When you can measure the entire population or the entire collection of data, you use the population version of the formula. Experts in statistics have determined that measurements that fall within a 2 SD range of the true value are more accurate than those that do not..
based on the facts provided;
the average population, =100
The standard deviation for the population
σ=10
Z score:
Z=X−μσ
X:The measurement.
The number of standard deviations the measurement is from the mean:
We are not given the measurement. So, assuming the measurement is equal to 139.
When
X=139
Z=139−100/10
=3.9
It implies that the measurement of
139 is 3.9
standard deviation above the mean of 100;
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A polygon is shown on the graph: A polygon is shown on a coordinate plane. The vertices are A at negative 6 comma 5, B at negative 6 comma 2, C at negative 2 comma 2, and D at negative 2 comma 6. If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates. (5 points)HELP ASAP
The coordinates of the image of polygon A'B'C'D' would be A' (-1, 1), B' (-1, -2), C' (3, -2), D' (3, 2).
What is a translation?A translation can be defined as a type of transformation which moves every point of the object in the same direction, as well as for the same distance.
Since the pre-image of polygon ABCD is translated (shifted) vertically downward by 4 units and right 5 units, the coordinates of the image of polygon A'B'C'D' would be given by:
(x, y) → (x + 5, y - 4)
Coordinate A = (-6, 5) → Coordinate A' (-6 + 5, 5 - 4) = (-1, 1)
Coordinate B = (-6, 2) → Coordinate B' = (-6 + 5, 2 - 4) = (-1, -2)
Coordinate C = (-2, 2) → Coordinate C' = (-2 + 5, 2 - 4) = (3, -2)
Coordinate D = (-2, 6) → Coordinate D' = (-2 + 5, 6 - 4) = (3, 2)
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look and solve this:
a) fractions; 15.3/3
b) yes, it is a rational number
Find the value of the variables
Answer:
x = 3y
y + x = 4y = 180
y = 45
x = 135
I Need help QUICK!
Which graph represents the solution set for p + 3.6 > −5.8? number line with open circle on point negative 9.4 and arrow shaded to the left number line with open circle on point negative 9.4 and arrow shaded to the right number line with open circle on point negative 2.2 and arrow shaded to the left number line with open circle on point negative 2.2 and arrow shaded to the right
Answer: c
Step-by-step explanation:
The solution set for the inequality is p > -9.4. See attachment below for the graph.
How to Graph the Solution Set for an Inequality?An open circle is used when the inequality sign involved is ">" or "<". That is, it is used for numbers that are less than or greater than.
An arrow shaded to the right means the solution set is greater than a given value, while an arrow shaded to the left means the solution set includes all values that are less than a given value.
Given the inequality, p + 3.6 > −5.8, solve for p:
p + 3.6 > −5.8
Subtract 3.6 from both sides
p + 3.6 - 3.6 > -5.8 - 3.6
p > -9.4
Thus, the solution set would be all the values that are greater than -9.4. The graph is shown below.
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a motar racing circuit has length 5 5/6 miles. A straight section of the circuit has a length 1 1/4 miles. what fraction of the circuit is the straight section. give your answer in the simplest form
The fraction of straight section of motor racing circuit is 3/14 miles.
To find the fraction of circuit which is straight, we will perform division. The fraction will be found as - Fraction = length of straight section ÷ total length of motor racing circuit
Keep the values in mentioned relation to find the fraction of circuit which is straight.
Converting the mentioned lengths from mixed fraction to fraction.
Length of motor racing circuit = (6×5 + 5)/6
Length of motor racing circuit = 35/6
Length of straight section of circuit = (4×1 + 1)/4
Length of straight section of circuit = 5/4
Fraction of straight circuit = (5/4)/(35/6)
Simplifying the fraction
Fraction of straight circuit = (5×6)/(35×4)
Performing multiplication in numerator and denominator
Fraction of straight circuit = 30/140
Performing division
Fraction of straight circuit = 3/14 miles
Thus, the straight section is 3/14 miles.
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a farmer is building a fence to enclose a rectangular area consisting of 2 separate regions. the 4 walls and one additional vertical segment to separate the regions are made up of fencing. if the farmer has 648 feet of fencing what are the dimensions of the region which enclose the maximum area?
The dimensions of the region which enclose the maximum area is a side of 162 feet and vertical segment of 108 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the side parallel to the vertical segment and y represent the other side. If the farmer has 648 feet of fencing, hence:
x + x + y + y + x = 648
3x + 2y = 648
y = 324 - 1.5x
Area (A) = xy
A = xy
A = x(324 - 1.5x)
A = 324x - 1.5x²
The maximum area is at A' = 0, hence:
A' = 324 - 3x
324 - 3x = 0
3x = 324
x = 108 feet
y = 324 - 1.5(108) = 162 feet
x = 108 feet, y = 162 feet
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NP and QS areparallellines. M N O P Q R S T Which angles are supplementary angles? NOM and NOR NOM and QRO NOM and POR NOM and SRT Submit
The angles that are supplementary angles are: ∠SRT and ∠SRO
What are Supplementary Angles?Angles that are supplementary will give us a sum of 180 degrees when we add the two angles together. One is the supplement of the other.
Some examples of angles that are supplementary angles that are formed when two parallel lines are intersected by a transversal include:
Same-side interior anglesSame-side exterior anglesLinear pair angles formed on a straight line and are adjacent to each other.Angle SRT and angle SRO are angles that are adjacent to each other because they share a common side SR and a common vertex R. They line on the straight line OT.
Therefore, angle SRT and angle SRO are two angles that are supplementary angles as shown in the diagram attached below where lines NP and QS are parallel lines. The supplementary angles are therefore angle SRT and angle SRO.
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I keep getting 0.33... but it says it wrong i need it as a fraction
Answer:
1/3
Step-by-step explanation:
0.3333...=1/3