Answer:
-1.5
Step-by-step explanation:
the y coordinate is along the vertical axis so because the point is 1.5 units down, the y-coordinate is -1.5
what is the equation
-8x+10y=16
-4x-5y=13
The equations give values of 1/2 and -11/8
What is simultaneous equation?you should be aware that two equations are solved simultaneously if they are solved together
The given equations are
-8x+10y=16 .............................1
-4x-5y=13 ..................................2
Multiply equation 2 by 2 to have
-8x -10y=26
Subtract equation 1 from equation 2
-8x+10y=16
-(-8x-10y=26) To get
The we have 20y = 10
Make y the subject of the relation
y=1/2
Put y = 1/2 in equation 1
-8x +10(1/2) = 16
-8x +5 = 16
-8x = 16-5
-8x = 11
Making x the subject of the formula we have
x=-11/8
In conclusion the values of x and y are -11/8 and 1/2 respectively
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Write 18 hundreds 11 tens in standard form.
The standard form of "18 hundreds 11 tens" is 1910.
To write "18 hundreds 11 tens" in standard form, we need to convert the given number into its numerical representation.
We know that 1 hundred is equal to 100, and 1 ten is equal to 10.
So, to find the numerical value of "18 hundreds 11 tens," we multiply the respective values by their place values and then add them together.
18 hundreds = 18 x 100 = 1800
11 tens = 11 x 10 = 110
To find the standard form, we add the two values:
1800 + 110 = 1910
Therefore, "18 hundreds 11 tens" in standard form is 1910.
In standard form, numbers are written using digits, without any reference to place value units like hundreds or tens.
The standard form of a number represents its numerical value directly. So, the numerical value of "18 hundreds 11 tens" is 1910, which is its standard form.
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Find the value of f(15) if f(x) = 100x – 5x2.
this problem is to replace the variable (here "x" ) with a certain numerical value.
the given function is f(x) followed by the algebraic expression " 100x -5x^2 "
now u r asked to find f(15), mean u have to find the value of the "expression" with the numerical value "15" replacing "x"
so it looks like this:
f(x) = 100x -5x^2
f(15) = 100*15 - 5*(15)^2 [only "x" got replaced by it's numerical value "15"]
now u can calculate it
so
f(15) = 1500 - 5*225 = 1500 - 1125 = 375 (Ans.)
hope u got the basic idea.
feel free to ask if u have further queries.
all the best!
Consider a completely randomized design involving four treatments: A, B, C, and D. Select a correct multiple regression equation that can be used to analyze these data. Define all variables. I. E(y) = Bo + B1 21 22 23 24, where 21 = 1 if treatment A, 21 = 0, otherwise; x2 = 1 if treatment B, 32 = 0, otherwise; 23 = 1 if treatment C, 33 = 0, otherwise; 24 = 1 if treatment D, 24 = 0, otherwise. II. E(y) = Bo + B121 + B222 + B323 + B4204, where 21 = 1 if treatment A, 21 = 0, otherwise; 22 = 1 if treatment B, 22 = 0, otherwise; 23 = 1 if treatment C, 13 = 0, otherwise; 24 = 1 if treatment D, 24 = 0, otherwise. III. E(y) = Bo + B121 + B222 + B323, where 21 = 1 if treatment B, 21 = 0, otherwise; 22 = 1 if treatment C, 22 = 0, otherwise; 23 = 1 if treatment D, 13 = 0, otherwise. Select your answer
Option III "E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃, where x₁ = 1 if treatment B, x₁ = 0, otherwise; x₂ = 1 if treatment C, x₂ = 0, otherwise; x₃ = 1 if treatment D, x₃ = 0, otherwise." is a correct multiple regression equation that can be used to analyze these data. So the option III is correct.
Randomized design involving four treatments: A, B, C, and D.
So total number of treatments = 4(A, B, C, D)
So the number of dummy variable is required = 4 - 1
The number of dummy variable is required = 3
The three variables would be x₁ x₂ and x₃ and the fourth treatment scenario would be represented if all three were zero.
So the option III is correct because this is a correct multiple regression equation because it contains all the necessary components to define a linear regression model.
Specifically, it contains a dependent variable (y), a constant (B₀), and three independent variables (x₁, x₂, x₃). Additionally, each of the independent variables is either assigned a value of 1 or 0 depending on the treatment, which is how a linear regression model is typically constructed.
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The complete question is:
Consider a completely randomized design involving four treatments: A, B, C, and D. Select a correct multiple regression equation that can be used to analyze these data. Define all variables.
I. E(y) = B₀ + B₁ x₁ x₂ x₃ x₄, where x₁ = 1 if treatment A, x₁ = 0, otherwise; x₂ = 1 if treatment B, x₂ = 0, otherwise; x₃ = 1 if treatment C, x₃ = 0, otherwise; x₄ = 1 if treatment D, x₄ = 0, otherwise.
II. E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃ + B₄x₄, where x₁ = 1 if treatment A, x₁ = 0, otherwise; x₂ = 1 if treatment B, x₂ = 0, otherwise; x₃ = 1 if treatment C, x₃ = 0, otherwise; x₄ = 1 if treatment D, x₄ = 0, otherwise.
III. E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃, where x₁ = 1 if treatment B, x₁ = 0, otherwise; x₂ = 1 if treatment C, x₂ = 0, otherwise; x₃ = 1 if treatment D, x₃ = 0, otherwise.
The second of two numbers is 5 more than twice the first. Their sum is 80. Find the numbers.
Answer:
The numbers are 25 & 55
Step-by-step explanation:
You can quantify this problem by using x to take the place of the first number. Because x is multiplied by 2 we get 2x, and add 5 since it is 5 more than twice the first. We can add x to 2x+5 which is 3x+5 and set it equal to 80. Then solve for x to get your first number, and subtract 80 from x to get your second number. Your work should look like this.
\(x + 2x + 5 = 80\\3x + 5 = 80\\3x = 80-5\\3x = 75\\3x/3 = 75/3\\x = 25\\80 -25 = 55\)
Hope this helps!
What is the measure of ZL?
Enter your answer in the box. Round only your final answer to
the nearest hundredth.
m/L=
18 in.
М'
60 in.
N
Angle L's in the triangle LMN is,
⇒ L = 72.54°
We have to given that;
A triangle LMN is shown in figure.
And, The sides are,
Since, We know that;
A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.
Since, We know that;
⇒ sin L = Opposite / Hypotenuse
And, cos L = Base / Hypotenuse
Two rays after combined into an angle have a single terminal. And, latter is known as the vertex of the angle, and the rays are known as its sides, occasionally as its legs, and occasionally as its arms.
Now, We can use trigonometry formula to find the value of angle l we get;
⇒ sin L = Opposite / Hypotenuse
⇒ sin L = LM / LN
⇒ sin L = 18/60
Taking arc sin both side, we get;
⇒ L = 72.54°
Therefore, The value of measure of angle L is triangle LMN is,
⇒ L = 72.54°
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Helppppppp
I need to find the area for this
Answer:
126
Step-by-step explanation:
70+56
Pamela had $17. She bought 7 burgers for $5.50 and 2 kilograms of orange for $5.30. Find the remaining amount she has now.
$4.20
$5
$6
$6.20
Answer:
$ 6.20 Cents
Step-by-step explanation:
17 - 5.50= 11.5
11.50 - 5.30= 6.2
Add A Zero at the end
You Get 6.20
Find the sum of the given integers. 7 + (-8) + 2 + (-1) =
Answer:
0
Step-by-step explanation:
7 + (-8) + 2 + (-1)
is the same as:
7 - 8 + 2 - 1
Simplify these:
-1 + 1
Solve:
0
what is a positive - negative
Answer:
Numbers can either be positive or negative. ... Adding and multiplying combinations of positive and negative numbers can cause confusion and so care must be taken. Addition and Subtraction. Two 'pluses' make a plus, two 'minuses' make a plus. A plus and a minus make a minus.
use Set notation to list all the elements of the set:The natural numbers less than 29 that are divisible by 4. The set is {________}
The natural number multiples of 4 less than 29 are:
4, 8, 12, 16, 20, 24, 28
The multiples of 4 are divisible by 4.
Hence, the set of natural numbers less than 29 that are divisible by 4 is
{4, 8, 12, 16, 20, 24, 28}.
Select the statement that best justifies the conclusion based on the given information.
Ifx+5 = 15, then x=10.
O addition property of equality
O subtraction property of equality
multiplication property of equality
O substitution
Answer:
B.
Subtraction property of equality.
answer w/ a two column proof (statement and justification)
GH is parallel to KJ and GJ is parallel to HK, we have shown that both pairs of opposite sides are parallel. Therefore, GHJK is a parallelogram.
What is the parallelogram?
A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure.
To prove that GHJK is a parallelogram, we need to show that both pairs of opposite sides are parallel.
From the given information, we know that GK is parallel to HJ (since they are both parallel to LG), so we can start by using this fact to show that GH is parallel to KJ:
∠GKL and ∠HJK are alternate interior angles formed by the transversal GK across the parallel lines LG and HJ.
Therefore, ∠GKL ≅ ∠HJK.
Similarly, we can use the fact that LG is parallel to GK to show that GJ is parallel to HK:
∠ZGL and ∠KHG are alternate interior angles formed by the transversal HG across the parallel lines LG and GK.
Therefore, ∠ZGL ≅ ∠KHG.
Hence, GH is parallel to KJ and GJ is parallel to HK, we have shown that both pairs of opposite sides are parallel. Therefore, GHJK is a parallelogram.
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Which set of values could be the side lengths of a 30-60-90 triangle?
Answer is B.
Step-by-step explanation:
Since we know that in 30-60-90 triangle, the side corresponding to angle 90 degrees is two times the length of side corresponding to 30 degree angle. The length of side corresponding to 60 degree angle is times the length corresponding to 30 degree angle.
We can see from our given choices that the side corresponding to 30 degree angle is 5 units.
Therefore, the side lengths of a 30-60-90 triangle will be and option B is the correct choice.
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How many times will Sarah have to deposit $300 every six months into her account at 4.5%
compounded semi-annually to save $10 000.00?
25.15
20.82
15.75
1458.90
With 4.5% compounded semi-annually, Sarah will need to make installments for roughly 20.82 years in order to save $10,000. Hence, 20.82 is the answer.
Is every two years or semiannually?
Simply said, semiannual refers to events that occur twice a year. A couple might commemorate their nuptials each two years, a corporation might hold workplace celebrations each two years, as well as a family might go on vacation each two years. Every two years, something that happens twice a year does.
We can utilize the calculation again for future value of an annuity to resolve this issue:
FV = P × ((1 + r/n) - 1) / (r/n)
Where:
FV = Future value
P = Periodic payment
r = Annual interest rate
n = Compounding cycles per year, number
t = Number of years
In this instance, Sarah plans to deposit $300 each six months in order to save $10,000. She will so be required to make two payments each year. P thus equals $300, n equals 2, r equals 0.045 (decimalized 4.5%), and FV equals $10,000. The number of years, t, needs to be solved for.
$10,000 = $300 × ((1 + 0.045/2) - 1) / (0.045/2)
When we simplify this equation, we obtain:
20 = (1 + 0.0225) - 1
21 = (1 + 0.0225)
Using both sides' natural logarithms:
ln(21) = ln((1 + 0.0225))
ln(21) = 2×t × ln(1 + 0.0225)
t = ln(21) / (2 × ln(1 + 0.0225))
t = 20.82
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A grocery store has bananas on sale for 2 pounds for $1.50. What is the cost of 6 pounds of bananas?
Answer:
$4.50
Step-by-step explanation:
6 / 2 = 3
$1.50 x 3 = $4.50
A jar has marble ms in these three colors only: 7 green, 10 blue, 3 red.
What is the probability of randomly choosing a green marble, after choosing (and keeping) a red marble?
Answer with a percentage rounded to the nearest tenth.
The probability of randomly choosing a green marble after you have chosen red is 4.4%
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
Given
A jar has 20 marbles: 3 green, 12 blue, 5 red.
Probability;
In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.
The total number of marbles = 20
The number of green marbles= 3
The number of blue marbles = 12
The number of red marbles = 5
The probability of choosing a red marble = Number of red marbles / Total number of marbles
= 5/20
The probability of choosing a green marble is = Number of green marbles / New total number of marbles
= 3/19
Therefore,
The probability of randomly choosing a green marble after you have chosen red is;
= 5/20 * 3/19
= 3/68
percentage = 3/68 * 100 = 4.4%
Hence, the probability of randomly choosing a green marble after you have chosen red is 4.4%
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you have 51 coins in your pocket, all dimes and quarters. You have $10.20. How many dimes and quarters do you have?
To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.
To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.
We know that there are 51 coins in total, so we can write the equation: d + q = 51.
We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.
To solve this system of equations, we can use substitution or elimination. Let's use substitution:
Rearrange the first equation to solve for d: d = 51 - q.
Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.
Simplify and solve for q: 510 - 10q + 25q = 1020.
Combine like terms: 15q = 510.
Divide both sides by 15: q = 34.
Now substitute this value back into the first equation to solve for d: d + 34 = 51.
Subtract 34 from both sides: d = 17.
Therefore, you have 17 dimes and 34 quarters.
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a deli buys 40 pounds of salami for its famous grinder sandwiches. the salami is an example of___ goods.
40 pounds of salami are purchased by a deli for its renowned grinder sandwiches. An illustration of an intermediate good is salami.
Given fill-in-the-blank;
A deli buys 40 pounds of salami for its famous grinder sandwiches. the salami is an example of___ goods.
The answer for this case is Intermediate.
A deli buys 40 pounds of salami for its famous grinder sandwiches. the salami is an example of Intermediate goods.
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find the range of the function y=1/2x+3 when the domain is (-2,0,2,4)
Answer:
{2, 3, 4, 5}.
Step-by-step explanation:
to find the range of the function y=1/2x+3 when the domain is (-2,0,2,4), we need to find the corresponding range values for each of the domain values.
When x = -2, y = 1/2(-2) + 3 = 2
When x = 0, y = 1/2(0) + 3 = 3
When x = 2, y = 1/2(2) + 3 = 4
When x = 4, y = 1/2(4) + 3 = 5
Therefore, the range of the function is {2, 3, 4, 5}.
Simplify: √8^2-4×2×3
Answer:
-16
Step-by-step explanation:
8 - 4 x 2 x 3 =
8 - 24 =
-16 =
f(x)= a(x+p)² +q and g(x)= 0 3 3.1 x + p 1. The turning point of f is (1;4) and the asymptotes of g intersect at the turning point of f. Both graphs cut the y-axic at 3. 3.2 3.3 3.4 a 10 g +94 (1:4) Determine the equation of f Determine the equation of g Determine the coordinates of the x-intercept of g For which values of x will f(x) ≥ g(x)? [9]
Step-by-step explanation:
Let's solve the given questions step by step:
1. Determine the equation of f:
From the given information, we know that the turning point of f is (1, 4). The general form of a quadratic function is f(x) = ax^2 + bx + c. We are given that f(x) = a(x + p)^2 + q, so let's substitute the values:
f(x) = a(x + p)^2 + q
Since the turning point is (1, 4), we can substitute x = 1 and f(x) = 4 into the equation:
4 = a(1 + p)^2 + q
This gives us one equation involving a, p, and q.
2. Determine the equation of g:
The equation of g is given as g(x) = 0.3x + p1.
3. Determine the coordinates of the x-intercept of g:
The x-intercept is the point where the graph of g intersects the x-axis. At this point, the y-coordinate is 0.
Setting g(x) = 0, we can solve for x:
0 = 0.3x + p1
-0.3x = p1
x = -p1/0.3
Therefore, the x-intercept of g is (-p1/0.3, 0).
4. For which values of x will f(x) ≥ g(x)?
To determine the values of x where f(x) is greater than or equal to g(x), we need to compare their expressions.
f(x) = a(x + p)^2 + q
g(x) = 0.3x + p1
We need to find the values of x for which f(x) ≥ g(x):
a(x + p)^2 + q ≥ 0.3x + p1
Simplifying the equation will involve expanding the square and rearranging terms, but since the equation involves variables a, p, and q, we cannot determine the exact values without further information or constraints.
To summarize:
We have determined the equation of f in terms of a, p, and q, and the equation of g in terms of p1. We have also found the coordinates of the x-intercept of g. However, without additional information or constraints, we cannot determine the exact values of a, p, q, or p1, or the values of x for which f(x) ≥ g(x).
The target population is all students in your university. You wish to estimate the average current Visa balance for each student. How large would the university student population have to be in order to be regarded as effectively infinite in each of the following samples?
(a) A sample of 24 students.
(b) A sample of 52 students.
(c) A sample of 96 students.
Answer:
For each of the sample sizes given, for the population to be regarded as effectively infinite, student population has to be more than
a) 240 students.
b) 1,040 students.
c) 1,920 students.
Step-by-step explanation:
A population may be treated as infinite when the population size, N, is at least 20 times the sample size, n.
Mathematically,
(N/n) > 20
N > 20n
(a) A sample of 24 students.
If sample size = n = 24
For the population size to be effectively infinite,
N > 20n
N > 20×24
N > 480 students
(b) A sample of 52 students.
If sample size = n = 52
For the population size to be effectively infinite,
N > 20n
N > 20×52
N > 1,040 students
(c) A sample of 96 students.
If sample size = n = 96
For the population size to be effectively infinite,
N > 20n
N > 20×96
N > 1,920 students
Hope this Helps!!!
The fastest pizza box folder can assemble 2 pizza boxes in 5 seconds. At this rate, how long would it take to assemble 20 pizza boxes?
Answer:
50 seconds
Step-by-step explanation:
2 boxes in 5 seconds
20÷2=10
10×5=50
50 seconds = 20 pizza boxes
Answer:
50
Step-by-step explanation:
2=5secs
20=?
to make 20 from 2 you do =2×10
so,
5×10=50seconds is the time he would take to assemble 20pizza boxes
Compute the missing x and y values so that each ordered pair will satisfy the given equation y=2x+4
The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).
The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.
Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.
For example, let's say one missing value is x = 3. We can substitute this into the equation:
y = 2(3) + 4
y = 6 + 4
y = 10
So, the missing ordered pair is (3, 10).
Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:
8 = 2x + 4
4 = 2x
x = 2
So, the missing ordered pair is (2, 8).
In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).
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I’ll give 30 points PLEASE HURRY Find the slope of the given ordered pairs: (-1,5) (2,-4)
Answer: 2/3
Step-by-step explanation:
Answer:
m=−3
Step-by-step explanation:
which one doesn't belong fractions answers 1/4 , 40% , 3/2 , or 1/6
Answer:
40%.
Step-by-step explanation:
-1/4, 3/2, and 1/6 are fractions, but 40% is not.
0.57 x 0.13 Is my problem, help needed
Answer:
0.0741
Step-by-step explanation:
Answer:
Have a great rest of ur day :)
Step-by-step explanation:
Please help what is the slope of the line?
Answer:
-5/4
Step-by-step explanation:
Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:
\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)
Answer: -5/4
Step-by-step explanation:
To find the slope between two points, you can use the formula:
Slope = (y2 - y1)/(x2 - x1)
Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:
slope = (4 - (-1))/(-4 - 0)
slope = (4 + 1)/(-4)
slope = 5/-4
Therefore, the slope between the two points is -5/4.
HELP.!!!!
The area of a rectangular yard is given by the trinomial 2x^2 + x - 36. What are the possible dimensions of the yard?
A
(2x + 9) and (x-4)
B
(-2x + 9) and (-x + 4)
С
(2x - 2) and (x-4)
D
(2x - 4) and (x + 4)
Answer:
A . (2x + 9) and (x-4)
Explanation:
Given parameters:
Given trinomial;
2x² + x - 36
Possible dimensions of the yard = ?
Solution:
To solve this apply the quadratic factorization;
2x² + x - 36 = 0
2x² -8x + 9x - 36 = 0
2x(x - 4) + 9(x -4) = 0
(2x + 9) (x -4) = 0
The possible dimensions of the rectangular yard is (2x + 9) and (x -4)