Answer:
its the second choice x=-1+\(\sqrt{17}\)
Step-by-step explanation:
What is the answer?
l-8l+4(-5+9)/2.
A-24
B-12
C-16
D-0
Answer:
C. 16
Step-by-step explanation:
1. Calculate the absolute value
|-8|+4(-5+9)/2
2. Reduce the fraction with 2
8+4(4/2)
3. Multiply
8+4(2)
4. Calculate
8+8 = 16
Mack Industries just paid a dividend of $5 per share (DO=$5). Analysts expect the company's dividend to grow 5 percent this year (D1=$5.25) and 8 percent next year. After two years the dividend is expected to grow at a constant rate of 4 percent. The required rate of return on the company's stock is 13 percent. What should be the company's current stock price? $60.40 $62.40 $58.40 $56.40 $54.40
None of the provided options are correct.
To calculate the current stock price using the dividend discount model, we can use the formula:
Current Stock Price = D1 / (r - g)
Where:
D1 = Expected dividend in the next year
r = Required rate of return
g = Growth rate of dividends
D1 = $5.25
r = 13% or 0.13
g = 8% or 0.08
Using the formula, we can calculate the current stock price:
Current Stock Price = $5.25 / (0.13 - 0.08)
Current Stock Price = $5.25 / 0.05
Current Stock Price = $105
Therefore, the company's current stock price should be $105.
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Variability between groups is due to ______. Group of answer choices the level of the dependent variable the F ratio the grouping factor chance Flag question: Question 4
Variability between groups is due to the grouping factor.
The F ratio is a measure of the variability between groups relative to the variability within groups, but it is not the cause of the variability between groups.
In an experimental design, researchers often manipulate an independent variable to observe its effects on a dependent variable.
The independent variable is often a grouping factor, which means that participants are assigned to different groups based on some characteristic or condition.
Participants may be assigned to a treatment group or a control group, or they may be grouped based on age, gender, or some other factor.
The experiment is conducted, the dependent variable is measured in each group, and the researcher is interested in whether there are significant differences between the groups.
Variability between groups refers to the differences in the mean scores of the dependent variable between the different groups.
The grouping factor is the reason for the variability between groups.
This is because the different groups are defined by the levels of the grouping factor, and the participants within each group are assumed to be similar with respect to the dependent variable.
Any differences between the groups must be due to the effect of the grouping factor.
The F ratio, which is calculated by dividing the variability between groups by the variability within groups, is used to test whether the differences between the groups are statistically significant.
The F ratio is a measure of the extent to which the grouping factor explains the variability in the dependent variable, and a significant F ratio indicates that there are significant differences between the groups.
Variability between groups is due to the grouping factor, and the F ratio is used to test whether the differences between the groups are statistically significant.
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what is (x, y) (kx, ky)
Answer:
AllRealNumbers
Step-by-step explanation:
If you multiply x by k and y by k it would be the same if you did not so it would be AllRealNumbers
An angle measures 30.8° more than the measure of its complementary angle. What is the measure of each angle?
In a survey of 600 students in a school. 150 student were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee Find how many Students were taking neither tea nor coffee
Answer:
125
Step-by-step explanation:
600=150+225+100+X=475+X
600-475=125=X
X=125
Answer: 325 I believe!
Step-by-step explanation:
consider the quadratic function y equals short dash x squared plus 6 x minus 5. what do we know about the graph of this quadratic equation, based on its formula?
Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.
Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.
First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.
Next, we can find the vertex using the formula:
Vertex = (-b/2a, f(-b/2a))
where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:
Vertex = (-b/2a, f(-b/2a))
= (-6/(2*-1), f(6/(2*-1)))
= (3, -14)
So the vertex of the parabola is at the point (3,-14).
Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.
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To conserve water, many communities have developed water restrictions. The water utility charges a fee of $34, plus an additional $1.36 per hundred cubic feet (HCF) of water. The recommended monthly bill for a household is between $60 and $85 dollars per month. If x represents the water usage in HCF in a household, write a compound inequality to represent the scenario and then determine the recommended range of water consumption. (Round your answer to one decimal place.
60 ≤ 1.36x + 34 ≤ 85; To stay within the range, the usage should be between 19.1 and 37.5 HCF.
Hown to write the inequalityThe correct compound inequality to represent the scenario is:
60 ≤ 1.36x + 34 ≤ 85
To solve for x, we need to isolate it in the middle of the inequality:
60 - 34 ≤ 1.36x ≤ 85 - 34
26 ≤ 1.36x ≤ 51
Finally, we divide by 1.36 to isolate x:
19.12 ≤ x ≤ 37.5
Therefore, the recommended range of water consumption is between 19.1 and 37.5 HCF. The answer is (D) 60 ≤ 1.36x + 34 ≤ 85; To stay within the range, the usage should be between 19.1 and 37.5 HCF.
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complete question
To conserve water, many communities have developed water restrictions. The water utility charges a fee of $34, plus an additional $1.36 per hundred cubic feet (HCF) of water. The recommended monthly bill for a household is between $60 and $85 dollars per month. If x represents the water usage in HCF in a household, write a compound inequality to represent the scenario and then determine the recommended range of water consumption. (Round your answer to one decimal place.)
60 ≤ 1.36x − 34 ≤ 85; To stay within the range, the usage should be between 69.1 and 87.5 HCF.
60 ≤ 1.36x − 34 ≤ 85; To stay within the range, the usage should be between 44.1 and 87.5 HCF.
60 ≤ 1.36x + 34 ≤ 85; To stay within the range, the usage should be between 37.5 and 44.1 HCF.
60 ≤ 1.36x + 34 ≤ 85; To stay within the range, the usage should be between 19.1 and 37.5 HCF.
how to find the percentage of these percent changes that is 1 standard deviation away from the mean in excel
Divide the number of percent changes that fall within the range by the total number of percent changes to get the percentage.
What is percentage?
Percentage is a way of expressing a number or proportion as a fraction of 100. It is represented by the symbol "%".
To find the percentage of percent changes that is 1 standard deviation away from the mean in Excel, you can follow these steps:
1. Enter the percent changes in a column in Excel.
Calculate the mean of the percent changes using the AVERAGE function.
2. Calculate the standard deviation of the percent changes using the STDEV.S function.
3. Calculate the lower and upper bounds of the range that is 1 standard deviation away from the mean. To do this, subtract the standard deviation from the mean to get the lower bound, and add the standard deviation to the mean to get the upper bound.
4. Use the COUNTIF function to count the number of percent changes that fall within the range of 1 standard deviation away from the mean.
Therefore, Divide the number of percent changes that fall within the range by the total number of percent changes to get the percentage.
Here's an example formula:
=COUNTIF(A2:A10,">="&B1-STDEV.S(A2:A10)," <="&B1+STDEV.S(A2:A10))/COUNT(A2:A10)*100
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Two less than the quotient of a number and 8 is 1/4.Find the number
For the given problem:
Let the number = x
Two less than the quotient of a number and 8 is 1/4
so, we can write the following expression:
\(\frac{x}{8}-2=\frac{1}{4}\)Now, solve the equation to find (x)
Multiplying by (8) to eliminate the denominators:
\(\begin{gathered} 8\cdot(\frac{x}{8}-2)=8\cdot\frac{1}{4} \\ \\ 8\cdot\frac{x}{8}-8\cdot2=\frac{8}{4} \\ x-16=2 \end{gathered}\)Add (6) to both sides:
\(\begin{gathered} x-16+16=2+16 \\ x=18 \end{gathered}\)So, the answer will be the number is 18
Mr. A sold his land to Mr.B at a profit of 10%. Mr.B. sold it to Mr.C at a gain of 5%. Mr.C.paid N1240 more for the house than Mr. A paid. What did Mr. A paid.
Answer:
Mr. A initially paid approximately N8000 for the land.
Step-by-step explanation:
Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.
Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.
Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.
Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240
Step 5: Simplifying the equation: 1.155x - x = N1240
Step 6: Solving for x: 0.155x = N1240
x = N1240 / 0.155
x ≈ N8000
Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.
If m*n means m+7n, determine the value of 5*(1*3)
Answer:
1*3 = 1+7(3) = 22
5*22 = 5+ 7(22) = 159
159 is your answer.
hope this helps!
The value of expression 5 × ( 1 × 3 ) is, 159.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
⇒ m × n means (m + 7n).
Now, We can find the value of 5 × ( 1 × 3 ) as,
⇒ 5 × ( 1 × 3 )
⇒ 5 × (1 + 7×3)
⇒ 5 × (1 + 21)
⇒ 5 × 22
⇒ 5 + 7 × 22
⇒ 5 + 154
⇒ 159
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Find an expression which represents the sum of (3x+9y)(3x+9y) and (5x+7y)(5x+7y) in simplest terms.
The expressions (7x - 6y) and (3x - 5y) added together result in 10x - 11y.
What is unitary method?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.
On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
Consider your square as being composed of smaller unit squares.
The number of unit squares necessary to completely cover the surface area of a specific 2-D shape is used to calculate the area of a figure. Some typical units for measuring area are square cms, square feet, square inches, square meters, etc.
Draw unit squares with 1-centimeter sides in order to calculate the area of the square figures shown below. The shape will therefore be measured.
According to our question-
(7x – 6y) and (3x – 5y
Then the sum of the expressions will be
(7x – 6y) + (3x – 5y)
7x – 6y + 3x – 5y
10x – 11y
Hence, The expressions (7x - 6y) and (3x - 5y) added together result in 10x - 11y.
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Can someone help me please?
An office supply company ordered 24 cartons of specialty paper. The regular price for a carton of specialty paper is $6.88. The company received a discount of $1.75 off each carton.
Given :
An office supply company ordered 24 cartons of specialty paper.
The regular price for a carton of specialty paper is $6.88.
The company received a discount of $1.75 off each carton.
To Find :
Total amount company pay for paper.
Solution :
Discounted price of each carton , d = $(6.88-1.75) = $5.13.
Total price company has to pay , \(T=24d\)
\(T=24\times 5.13\\\\T=\$123.12\)
Hence , this is the required solution.
*HELP ME PLEASE* Consider the equation: 3x + 1 – 9 = 3(x + 2) + n.
Give a value of n so that the equation has no solutions.
Explain why you are correct.
Answer:
n = -14
Step-by-step explanation:
Let us try to solve this equation for n;
3x + 1 - 9 = 3(x + 2) + n
3x - 8 = 3x + 6 + n
3x - 3x -8 - 6 = n
-14 = n
The value of n = -14
This value is the value of the equation that will have no solution.
To know if we are correct, let us input this value into the expression
3x + 1 - 9 = 3(x + 2) + n
3x - 8 = 3x + 6 -14
Collect like terms;
3x - 3x = 8 + 6 - 14
0 = 0
Oliver started his banking account with $100 and is increasing the account $20 per month. which type of function does this situation model?
Answer:
an arithmetic sequence or a linear function.
Step-by-step explanation:
Arithmetic:he has $100 and ADDS $20 each month. in arithmetic sequences we have a value for a sub 1 in this case 100, then add the rate of change or in this case 20 times the months or d. Since this function follows the rules this is an arithmetic sequence.
Linear function:
y=mx+c
let y be the amount of money he has in his banking account,
let x be months.
let m be 20 because that is what he adds per month or per x.
let c be the starting value or 100.
y=20x+100
you were in the garden, there are 34 people in the yard. you kill 30. how many people are in the garden?
In linear equation, You are the only person in the garden at the time the 34 people.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.You are the only person in the garden at the time the 34 people are on their homicidal spree.
Alternatively, if the backyard and garden are in the same place, then there are no longer any individuals in the garden because you would officially count as one of the 34 people who are all killed.
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In the figure below, C is between A and D, and B is the midpoint of AC. If BC=3 and AD=13, find CD.
The length of CD is 7 units.
What is Distance?The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
From the figure it is given that C is between A and D.
B is the midpoint of AC
BC=3 and AD=13, we have to find CD.
As B is the midpoint of AC, then BC=AB
BC=AB=3
AC=AB+BC=6
Now to find CD=AD-AC
CD=13-6
CD=7
Hence, the length of CD is 7 units.
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An aquarium can be modeled as a right rectangular prism and it can hold 595 cubic inches of water when it is full. Its length is 17 in and height is 5 in. Find the width of the aquarium in inches. Round your answer to the nearest tenth if necessary.
We used the formula for the volume of a rectangular prism. We denoted the width of the aquarium as x and plugged in the given values for length and height, as well as the given volume of 595 cubic inches, the width of the aquarium is 7 inches.
Using the formula for the volume of a rectangular prism, we can solve for the width of the aquarium. Let's denote the width as x.
length × width × height.
We are given that the length is 17 in, the height is 5 in, and the volume is 595 cubic inches. We can set up the equation:
(17 × 5)x = 595
Simplifying the equation gives us:
85x = 595
Dividing both sides by 85:
x = 7
Therefore, the width of the aquarium is 7 inches.
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rewrite this non statistical question as a statistical question how many brothers does paul have?
Do
this mathematics operations using the rules of precision
(9.11)+(6.232)
(7.4023)x(19)
(9.162)-(2.39)
(0.00482)x(213)
(8.73)/(5.198)
(7644)/(0.13)
Answer:
Step-by-step explanation:
Sure! I'll perform the mathematical operations using the given numbers and apply the rules of precision. Please find the results below:
(9.11) + (6.232)
The sum of 9.11 and 6.232 is 15.342.
(7.4023) x (19)
The product of 7.4023 and 19 is 140.844.
(9.162) - (2.39)
The difference between 9.162 and 2.39 is 6.772.
(0.00482) x (213)
The product of 0.00482 and 213 is 1.02786.
(8.73) / (5.198)
The division of 8.73 by 5.198 is 1.67920734.
(7644) / (0.13)
The division of 7644 by 0.13 is 58,800.
Please note that the results are rounded to the appropriate number of decimal places based on the precision rules.
17.546 rounded to the nearest hundred
Answer:
17.55
Step-by-step explanation:
tenths are 1 to the right of the decimal hundredths are 2 places right of the decimal and thousands are 3 times right of the decimal
17.546 rounded to the hundredths is 2 times to the right and there is a 5 that rounds it up to 17.55
Answer:
17.55
Step-by-step explanation:
Hundredth .05-0.09 is 0.1 but 0.04 and lower is 0
Help!!!! This is i-ready math measuring, first person answers correctly your will get brainiest.
Answer:
10 bracelets.
Step-by-step explanation:
Convert 5 feet to inches. Since there is 12 inches in 1 foot, you want to multiply 12 and 5.
12 x 5 = 60 inches.
Since each bracelet is 6 inches, you want to divide 60 by 6.
You will get 10 bracelets.
(e) cos² (ω).* t) = (¹/2) + (¹/2)* cos (2*ω.*t)
(f) sin² (ω.* t) = (¹/2) - (¹/2)* cos (2*ω.*t)
(g) sin (n*ω. *t) * sin (m*ω.* 1) = (1/2)*cos [ (n-m)*ω.*t)] - (1/2)* [cos [ (n+m)*ω. *t)] for any integer n, m and ω
(h) sin² (ω.*t) + cos² (ω.*t) = 1 for any integer ω[choose 2≤w≤6], over 2 time cycle.
need the MATLAB code for these problems here please
only the code no graphs
Here's the MATLAB code for each problem:
(e) Code for cos²(ωt) = (1/2) + (1/2)cos(2ωt):
matlab
Copy code
t = linspace(0, 2*pi, 1000); % Time vector
omega = 1; % Choose the value of omega
y = (1/2) + (1/2)*cos(2*omega*t);
(f) Code for sin²(ωt) = (1/2) - (1/2)cos(2ωt):
matlab
Copy code
t = linspace(0, 2*pi, 1000); % Time vector
omega = 1; % Choose the value of omega
y = (1/2) - (1/2)*cos(2*omega*t);
(g) Code for sin(nωt) * sin(mωt) = (1/2)*cos((n-m)ωt) - (1/2)*cos((n+m)ωt):
matlab
Copy code
t = linspace(0, 2*pi, 1000); % Time vector
omega = 1; % Choose the value of omega
n = 2; % Choose the value of n
m = 1; % Choose the value of m
y = (1/2)*cos((n-m)*omega*t) - (1/2)*cos((n+m)*omega*t);
(h) Code for sin²(ωt) + cos²(ωt) = 1:
matlab
Copy code
t = linspace(0, 4*pi, 1000); % Time vector
omega = 2:6; % Choose the values of omega
y = sin(omega.*t).^2 + cos(omega.*t).^2;
Note: In all the codes, the variable t represents the time vector and y represents the corresponding function values. Adjust the parameters (such as the time range, number of points, and the values of omega, n, and m) according to your requirements.
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Here is the MATLAB code for the given problems:(e) cos² (ω.*t) = (¹/2) + (¹/2)*cos(2*ω.*t):t = lin space(0, 10, 1000);omega = 1.5;figure plot(t, cos(omega .* t).^2)hold on plot(t, 0.5 + 0.5*cos(2*omega .* t))
title("Plot of cos^2(wt)")x label("t")y label("y")legend("cos^2(wt)", "0.5 + 0.5*cos(2wt)")hold off(f) sin² (ω.*t) = (¹/2) - (¹/2)*cos(2*ω.*t):t = linspace(0, 10, 1000);omega = 1.5;figure plot(t, sin(omega .* t).^2)hold on plot(t, 0.5 - 0.5*cos(2*omega .* t))title("Plot of sin^2(wt)")x label("t")y Label("y")legend("sin^2(wt)", "0.5 - 0.5*cos(2wt)")hold off(g) sin(n*ω.*t) * sin(m*ω.*t) = (1/2)*cos[(n-m)*ω.*t)] - (1/2)*cos[(n+m)*ω.*t)]:t = linspace(0, 10, 1000);omega = 1.5; n = 3; m = 2;figure plot(t, sin(n*omega.*t).*sin(m*omega.*t))hold on plot(t, 0.5*cos((n-m)*omega.*t) - 0.5*cos((n+m)*omega.*t))title("Plot of sin(wt)*sin(wt)")xlabel("t")ylabel("y")legend("sin(wt)*sin(wt)", "0.5*cos((n-m)wt) - 0.5*cos((n+m)wt)")hold off(h) sin² (ω.*t) + cos² (ω.*t) = 1:for omega = 2:6t = linspace(0, 10, 1000);
Figure plot(t, sin(omega.*t).^2 + cos(omega.*t).^2)title("Plot of sin^2(wt) + cos^2(wt)")x label("t")y label("y")end.
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4x\(x^{2}\)+6x+2=0
Help me please. Id appreciate it greatly
Answer:
1.39
2.4/5
3. 4/5t+39
4. 4
5.4/3
6.4/3g+4
i hope i got this right.
the vector-valued function h is defined by h(t)=⟨tet,t2et⟩. which of the following is h′(1) ? 32 three halves 2 2 ⟨e,2e⟩ open angled bracket, e comma 2 e, close angled bracket ⟨2e,3e⟩
The correct answer is (2) 2. This means that the rate of change of the vector function h(t) at t=1 is a constant vector with magnitude 2.
The vector-valued function h(t) is defined as h(t) = ⟨tet, t^2et⟩. To find h'(1), we need to take the derivative of h(t) with respect to t, and then evaluate it at t=1.
Taking the derivative of h(t), component-wise, we get:
h'(t) = ⟨(te^t + e^t), (2te^t)⟩
Now, we can evaluate h'(1) by plugging in t=1:
h'(1) = ⟨(1e^1 + e^1), (2(1)e^1)⟩ = ⟨2e, 2e⟩
Since both components of h'(1) are equal, we can write it as:
h'(1) = 2⟨e, e⟩
Since the dot product of two equal vectors is equal to the square of their magnitude, we have:
h'(1) = 2||⟨e, e⟩||^2 = 2||e||^2 = 2
Therefore, the correct answer is (2) 2. This means that the rate of change of the vector function h(t) at t=1 is a constant vector with magnitude 2. This implies that the direction of the vector is not changing, but only its magnitude is increasing or decreasing at a constant rate.
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y=3x
3x+y=30
help please
find the solution using substitution method
Answer: Y=3x,3x+y=30
Step-by-step explanation:
Answer:
To solve this system of equations using the substitution method, we need to isolate one of the variables in one of the equations and substitute its expression into the other equation.
From the first equation, we can see that y = 3x. We can substitute this expression for y in the second equation, like this:
3x + y = 30
3x + (3x) = 30 (substituting y = 3x)
6x = 30
x = 5
Now we can substitute this value of x back into either equation to find the value of y. We'll use the first equation:
y = 3x
y = 3(5)
y = 15
Therefore, the solution to the system of equations is (x, y) = (5, 15)
quizletmeasures of central tendency include all except: a. standard deviation b. median c. mean d. mode
Answer:
a. standard deviation
Step-by-step explanation:
Standard deviation measures the variation (how spread out the data is from the mean) of a data set.