9514 1404 393
Answer:
9
Step-by-step explanation:
The 4th term is the sum of the first term and 3 times the common difference.
50 = 23 + 3d
27 = 3d
9 = d
The common difference is 9.
__
The first few terms are ...
23, 32, 41, 50, 59, 68, ...
Solve the inequality: x^2 ·(x +9)·(x −5)≥0
Answer:
OH GOD
WHAT TYPE OF DEMON MATH IS THIS
Step-by-step explanation:
sorry but tbh i have NO FRICKING CLUE!!!
Answer:
Please look at the pic that is your answer.
En el año 2013 HUBO 1400 ALmnos que seleciona la asgnatura optativa de religion. En 2014 esta cifra bajo un 4% ¿cuantos alumnos la seleccionaran en 2014
Number of students that selected the elective subject of religion in 2014 is 1344
The problem tells us that in 2013, there were 1400 students who selected the elective subject of religion.
Then, in 2014, this figure decreased by 4%. This means that the new figure in 2014 will be 4 percentage less than the figure in 2013.
To calculate what 4% of 1400 is, we need to multiply 1400 by 4/100, which gives us 56. So, 56 students did not select the elective subject of religion in 2014 compared to 2013.
So, the number of students who selected the elective subject of religion in 2014 is
= 1400 - 56
= 1344
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Write the solution set in interval notion for 9t+27 <4t-18. Solve the inequality
The solution set of inequality " for 9t+27 <4t-18" in interval notation is (-∞, -9).
To solve the inequality 9t + 27 < 4t - 18, we need to isolate the variable t on one side of the inequality. Here are the steps:
1. Subtract 4t from both sides: 9t - 4t + 27 < -18
2. Simplify: 5t + 27 < -18
3. Subtract 27 from both sides: 5t < -45
4. Divide both sides by 5: t < -9
Now we can write the solution set in interval notation: (-∞, -9)
So the solution set is all values of t that are less than -9.
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a. The Figure shows the coefficient matrix of a discretized reservoir by blockcentered grids where the non-zero elements are indicated by x position, while zero elements are left blank. Draw this discretized reservoir using the standard ordering.
Unfortunately, I am unable to directly interpret or visualize figures or images. However, I can provide you with a general explanation. In a discretized reservoir using block-centered grids, the standard ordering refers to the arrangement of grid cells or blocks in a particular pattern.
This pattern is often used to establish the connectivity and adjacency relationships between the cells in the reservoir model. Typically, the standard ordering arranges the grid cells in a sequential manner, starting from the top-left corner and moving row by row. Each grid cell represents a discrete volume or unit in the reservoir. The non-zero elements, indicated by the "x" positions in the coefficient matrix, would correspond to the active or connected cells within the reservoir model. These active cells are the ones that contribute to fluid flow and other reservoir properties. To visualize the discretized reservoir using the standard ordering, you would need to refer to the coefficient matrix and determine the dimensions of the reservoir model, such as the number of rows and columns. Then, starting from the top-left corner, you can represent each active cell or block using a graphical representation, such as a square or rectangle, in a sequential manner based on the standard ordering. This way, you can construct a visual representation of the discretized reservoir model.
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Are the triangles similar? if yes, write a similarity statement and the theorem or postulate used. I’ll Mark you brainliest
The similarity statement is the SAS similarity
How to determine the similarity statementFrom the question, we have the following parameters that can be used in our computation:
Triangles
One corresponding angle in the pair of triangles are equal (A)
Two sides of the pair of triangle are in proportion (SS)
i.e. 16/12 = 20/15
Hence, the similarity statement is SAS
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help me im from VietNam
Answer:
Step-by-step explanation:
Adding and subtracting expressions:
a) M + (5x² -2xy) = 6x² +9xy - y²
M = 6x² + 9xy - y² - (5x² - 2xy)
Remove the parenthesis by mulplying each term of 5x² - 2xy by (-1) as (-1) is outside the parenthesis
= 6x² + 9xy - y² - 5x² + 2xy
Combine ( add or subtract) like terms.
= 6x² - 5x² + 9xy + 2xy - y²
= x² + 11xy - y²
Hint: Like terms have same variable with same power.
Here, like terms are (i) 6x² and (-5x²) (ii) 9xy and 2xy
b) (3xy - 4y²) - N = x² - 7xy + 8y²
3xy - 4y² = (x² - 7xy + 8y²) + N
3xy - 4y² - (x² - 7xy + 8y²) = N
3xy - 4y² - x² + 7xy - 8y² = N
3xy + 7xy -4y² - 8y² -x² = N
10xy -12y² - x² = N
Answer: N = 10xy - 12y² -x²
Consider the economy whose data appear in the table below. Working-age population 100,000 Labor force 60,000 Unemployed 12,000 Instructions: Round your answers to one decimal place.
a. The unemployment rate is ___%.
b. The labor-force participation rate is ___ %.
a. The unemployment rate is 20%.
b. The labor-force participation rate is 60%.
According to the question,
Working age population- 100,000
Labour force - 60,000
Unemployed - 12000 instructions
a) The unemployment rate is the percentage of the labor force that is unemployed and it is calculated as follows:
Unemployment Rate = \(\frac{Number of unemployed People}{Labor force}\) × 100
When an unemployed population is 12,000 and the labor force is 60,000,
the unemployment rate is = \(\frac{12000}{60000}\) × 100 = 20%
b) labor force participation rate is the percentage of working adult population that participates in labor either by actively looking for a job, or working. It is calculated as follows:
Labor Force Participation Rate = \(\frac{Labor force}{working age population}\) × 100
When the labor force is 60,000 and the working-age population is 100,000
Labor Force Participation Rate = \(\frac{60000}{100000}\) × 100 = 60%
So, a. The unemployment rate is 20%.
b. The labor-force participation rate is 60 %.
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Solve the inequality
p+1/4≥2
Answer:
1 and 3/4<p
Step-by-step explanation:
2-1&3/4=1/4,
and p+1/4>=2;
so the answer must be 1 and 3/4 or greater
Cristian bought a new electronic tablet on sale 1/4 off the original Price.
A.What is the amount of the discount if the original price was $755
B.What is the scales price of the Tablet
Answer:
A: $188.75
B: $566.25
Step-by-step explanation:
To find the amount of the discount you can either multiply the original price ($755) by 1/4 or you can divide by 4.
Either way will get you $188.75. This is a quarter of the original price and is what is subtracted from the original sale price ($755). To find the sale price after the discount you do:
755-188.75=$566.25.
To check this you can do 755 × 3/4.
Hope this helps.
Please Mark Brainliest!!!
Answer:
What he said
Step-by-step explanation:
calculate the discount factor for one period for an investment given a rate of return equal to 6 percent.
Therefore, the discount factor for one period with a rate of return of 6 percent is approximately 0.9434.
To calculate the discount factor for one period with a rate of return equal to 6 percent, you can use the formula:
Discount Factor = 1 / (1 + Rate of Return)
Substituting the rate of return of 6 percent (0.06) into the formula:
Discount Factor = 1 / (1 + 0.06) = 1 / 1.06 ≈ 0.9434
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Himesh has blocks like the one shown below. 6 cm -8 cm- -7 cm- He wants to build a 40 cm high tower with such blocks. What is the LEAST number of blocks with which he can do this?
The least number of blocks with which he can do is 168 blocks.
What is the least Common Multiple (LCM)?
The Least Common Multiple (LCM) is a method for determining the smallest common multiple of two or more numbers. A common multiple is a number that is the product of two or more numbers.
Least number of blocks = LCM of 6cm, 7cm, and 8cm.
Multiples of 6 - 6,12,18,24,30,36,42,48,54,60
Multiples of 7 - 7,14,21,28,35,42,49,56,63,70
Multiples of 8 - 8,16,24,32,40,48,56,64,72,80
Common Multiples - 168
Least Common Multiple - 168
So the least number of blocks with which he can do is 168 blocks.
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You must decide whether to buy new machinery to produce product X or to modify existing machinery. You believe the probability of a prosperous economy next year is 0.7. Prepare a decision tree and use it to calculate the expected value of the buy new option. The payoff table is provided below (+ for profits and - for losses).
When entering the answer, do not use the $ symbol. Do not enter the thousand separator. Enter up to 2 decimal places after the decimal point. For example, $6,525.35 must be entered as 6525.35
N1: Prosperity ($) N2: Recession ($)
A1 (Buy New) $1,035,332 $-150,000
A2(Modify) $823,625 $293,648
The expected value of the "Buy New" option is 724732.60.
Decision Tree:
To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:
Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:
Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)
Substituting the given values in the above formula, we get:
Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60
Therefore, the expected value of the "Buy New" option is 724,732.60.
Conclusion:
To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.
The expected value of the "Buy New" option is 724,732.60.
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The sample and h is the half-life, in days, of the substance. A sample contains 60% of its original amount of Fermium-257. The half-life of Fermium-257 is about 100 days. About how old is the sample? 52 days 60 days 74 days 136 days
Answer:
74 days
Step-by-step explanation:
The computation is shown below;
The proportion that remains left after d days is
p = (1/2)^(d ÷ 100)
In the case when the proportion is 60%
So,
0.60 = 0.50^(d ÷ 100)
Now
log(.60) = (d ÷ 100)log(.50)
100·log(.60) ÷ log(.50) = d = 74 days
which of the following is true for r-squared? group of answer choices its value is always between -1.0 and 1.0 a value of 1.0 indicates maximum deviation of the data from the line as its value increases, the line will be a better fit for the data * if the value is above 1.0. the line is a perfect fit for the data
The correct statement regarding R-squared is: "Its value is always between -1.0 and 1.0. A value of 1.0 indicates the line is a perfect fit for the data."
R-squared (²) is a statistical measure that represents the proportion of variance in the dependent variable that is explained by the independent variable(s) in a regression model. The value of R-squared ranges from -1.0 to 1.0.
A value of 1.0 indicates that the regression line perfectly fits the data, while a value of 0 indicates that the model cannot explain any variance in the dependent variable. A negative value indicates that the model is worse than just using the mean of the dependent variable.
Therefore, the best fit line for the data is the one that has an R-squared value closest to 1.0, indicating that it explains a high percentage of the variance in the dependent variable based on the independent variable(s). It is important to note that an R-squared value above 1.0 is not possible and may indicate a mistake in the calculations.
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Chad likes to play Bingo at the nearby American Legion Hall. One day he goes into the hall with $14 in his pocket. When he comes out, he has no money left and owes his friend Greg $3. At home, Chad finds $5 in the kitchen drawer. If you include the $3 he owes Greg, how much does Chad have, total?
Answer:
Chad has $2 in total!
Step-by-step explanation:
14 - 14 -3 +5
= 2
compose a function distance which accepts as parameters an array called data containing a row of time values and a row of measurements (just like seis). the function should return the calculated distance in miles.
The function "distance" should take in an array "data" containing a row of time values and a row of measurements, and return the calculated distance in miles.
To calculate the distance, we can use the formula: distance = (measurement / 5280) * time, where measurement is in feet, time is in seconds, and the factor 5280 is the number of feet in a mile.
So, in the function, we can loop through the two rows of data, calculate the distance for each pair of values using the above formula, and sum up the distances to get the total distance covered. Finally, we can return the total distance in miles.
With this function, we can pass in an array of time and measurement values, and get back the total distance covered in miles.
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Let
Bold u left parenthesis t right parenthesisu(t)equals=2 t cubed Bold i plus left parenthesis t squared minus 6 right parenthesis Bold j minus 4 Bold k2t3i+t2?6j?4k.
Compute the derivative of the following function.
Bold u left parenthesis t Superscript 4 Baseline minus 2 t right parenthesisut4?2t
StartFraction d Over dt EndFraction Bold u left parenthesis t Superscript 4 Baseline minus 2 t right parenthesisddtu(t4?2t)equals=left parenthesis nothing right parenthesis Bold i plus left parenthesis nothing right parenthesis Bold j plus left parenthesis nothing right parenthesis Bold k
The derivative of the function u(t⁴ - 2t) = 2t³ i + (t² - 6) j - 4 k is:
u'(t⁴ - 2t) = 24t⁵ i - 12t³ j + 8t⁴ k.
We can find the derivative of the function u(t) = u(t⁴ - 2t) = 2t³ i + (t² - 6) j - 4 k, where u(t) is a vector-valued function.
To find the derivative of u(t⁴ - 2t), we use the chain rule:
u'(t) = u'(t⁴ - 2t) * (4t³ - 2)
where u'(t) is the derivative of u with respect to its argument. In this case, the argument is t⁴ - 2t, so we need to find u'(t⁴ - 2t) and then multiply it by the derivative of the argument with respect to t, which is 4t³ - 2.
To find u'(t⁴ - 2t), we differentiate u(t) with respect to its components:
u'(t) = (6t² i + 2t j) * (4t³ - 2)
= 24t⁵ i - 12t³j + 8t⁴ k
Therefore, the derivative of the function u(t⁴ - 2t) = 2t³ i + (t² - 6) j - 4 k is:
u'(t⁴ - 2t) = 24t⁵ i - 12t³ j + 8t⁴ k
Note that the derivative of a vector-valued function is also a vector-valued function.
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Suppose triangle ABC will be dilated using the rule D Subscript Q, two-thirds.
Point Q is the center of dilation. Triangle A B C is 6 units away from point Q. The length of A B is 3, the length of B C is 7, and the length of A C is 8.
What will be the distance from the center of dilation, Q, to the image of vertex A?
2 units
3 units
4 units
6 units
The distance from the center of dilation, Q, to the image of vertex A will be 4 units.
According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.
Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.
By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x 3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.
Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.
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A triangle has one angle that measures 58 degrees, one angle that measures 50 degrees, and one angle that measures
72 degrees.
What kind of triangle is it?
O A right triangle
OB. acute triangle
OC. equilateral triangle
OD
obtuse triangle
Answer:
an acute triangle - all 3 angles are less than 90 degrees.
Step-by-step explanation:
Evaluate the following expression. You should do this problem without a calculator. log 5 125
Answer:
3
Step-by-step explanation:
log(5) 125 =x
5^x = 125
5^x = 5^3
x=3
Triangle ABC is rotated about the origin by 270° to form the triangle A′B′C′, then translated upward 10 units to form triangle A″B″C″. Which of the following statements is true for ΔABC and ΔA″B″C″? A)There isn't enough information to identify whether ΔABC and ΔA″B″C″ are congruent or similar. B)ΔABC and ΔA″B″C″ are neither similar nor congruent. C)ΔABC and ΔA″B″C″ are similar triangles. D)ΔABC and ΔA″B″C″ are congruent triangles.
Answer:
The correct answer is option:
D) ΔABC and ΔA″B″C″ are congruent triangles.
Step-by-step explanation:
Given
ΔABC is first rotated about the origin by 270° to form the triangle A′B′C′.\(\triangle A'B'C'\) is then translated upwards 10 units to form \(\triangle A''B''C''\)To find: The true statement among the given options.
Solution:
Let the triangle be situated in 1st quadrant.
It is rotated about the origin by \(270^\circ\).
Now, it moves towards quadrant 2 if it is rotated clockwise. It is termed as
\(\triangle A'B'C'\).
It is given that now it is translated 10 units upwards. i.e. 10 units added to x coordinate of each vertex to form \(\triangle A''B''C''\).
Now, we can see that there is no change in the dimensions of the triangle. We are just changing the location of the triangle.
So, all its angles will be equal to each other and all the sides will be equal to each other.
i.e.
\(\angle A = \angle A''\\\angle B = \angle B''\\\angle C = \angle C''\\Side\ AB = Side\ A''B''\\Side\ BC = Side\ B''C''\\Side\ AC = Side\ A''C''\)
Hence, the correct option is:
D)ΔABC and ΔA″B″C″ are congruent triangles.
Answer:A-B
Step-by-step explanation:
what is the parent function of g(x) = 3cos (x + 180°) + 1
The parent function of the function g(x) = 3cos (x + 180°) + 1 is f(x) = cos(x)
What are parent functions?Parent functions are the basic function that represents the entire family of that function family
How to determine the parent function?The function is given as;
g(x) = 3cos (x + 180°) + 1
As a general rule, the parent function of any function is the basic equation of the function family
The basic equation of the function g(x) = 3cos (x + 180°) + 1 is f(x) = cos(x)
Hence, the parent function of the function g(x) = 3cos (x + 180°) + 1 is f(x) = cos(x)
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First try was incorrectA triangular prism can be unfolded into the net shown below. Find thetotal surface area of the triangular prism.5 mm2.1 mm4.5 mm15.2 mm
ANSWER:
The total surface area of the triangular prism is 69.77 square millimeters
STEP-BY-STEP EXPLANATION:
We have that the formula surface area of the remaining prism is the following
\(SA=b\cdot h+L\cdot(s_1+s_2+s_3)\)Replacing:
s1, s2 and s3 are the sides of the triangle, the base and the height are of the triangle and L is the length of the rectangle.
\(\begin{gathered} SA=2.1\cdot4.5+5.2\cdot(5+2.1+4.5) \\ SA=9.45+60.32 \\ SA=69.77 \end{gathered}\)) find the points on the surface 5x2 3y2 2z2=1 at which the tangent plane is parallel to the plane −4x 4y 5z=0.
There are no specific points on the surface 5x^2 + 3y^2 + 2z^2 = 1 at which the tangent plane is parallel to the plane -4x + 4y + 5z = 0. The entire surface is parallel to the given plane.
To find the points on the surface 5x^2 + 3y^2 + 2z^2 = 1 at which the tangent plane is parallel to the plane -4x + 4y + 5z = 0, we need to determine the normal vector of the surface and the normal vector of the given plane.
Let's start by finding the normal vector of the given plane. The coefficients of x, y, and z in the equation -4x + 4y + 5z = 0 represent the components of the normal vector. Therefore, the normal vector of the plane is n1 = (-4, 4, 5).
Next, we need to find the normal vector of the surface 5x^2 + 3y^2 + 2z^2 = 1. To do this, we differentiate the equation implicitly with respect to x, y, and z.
Differentiating the equation with respect to x:
d/dx(5x^2) + d/dx(3y^2) + d/dx(2z^2) = d/dx(1)
10x + 0 + 0 = 0
10x = 0
x = 0
Differentiating the equation with respect to y:
d/dy(5x^2) + d/dy(3y^2) + d/dy(2z^2) = d/dy(1)
0 + 6y + 0 = 0
6y = 0
y = 0
Differentiating the equation with respect to z:
d/dz(5x^2) + d/dz(3y^2) + d/dz(2z^2) = d/dz(1)
0 + 0 + 4z = 0
4z = 0
z = 0
Therefore, the normal vector of the surface at the point (0, 0, 0) is n2 = (0, 0, 0). However, since the magnitude of the normal vector is zero, it indicates that the surface does not have a unique normal vector at the point (0, 0, 0).
Since the tangent plane is parallel to the given plane, the normal vectors of the surface and the plane must be parallel. Thus, the normal vectors n1 and n2 must be parallel.
To check if n1 and n2 are parallel, we can take the cross product of n1 and n2 and see if the resulting vector is the zero vector.
n1 x n2 = (-4, 4, 5) x (0, 0, 0)
= (0, 0, 0)
The resulting vector is indeed the zero vector, which means that n1 and n2 are parallel. Therefore, the tangent plane to the surface 5x^2 + 3y^2 + 2z^2 = 1 is parallel to the plane -4x + 4y + 5z = 0 at all points on the surface.
In summary, there are no specific points on the surface 5x^2 + 3y^2 + 2z^2 = 1 at which the tangent plane is parallel to the plane -4x + 4y + 5z = 0. The entire surface is parallel to the given plane.
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A 26-year-old male is interested in purchasing life insurance. Using the table, determine what the annual premium for a 20-Payment Life insurance policy, given that the face value of the policy is $89,657. If need be, round your answer to the nearest cent.
A 7-column table with 4 rows title Permanent Insurance. Column 1 is labeled Age with entries 25, 26, 27, 28. Column 2 is labeled Whole life male (dollars) with entries 16.38, 16.91, 17.27, 17.76. Column 3 is labeled whole life female (dollars) with entries 14.38, 14.77, 15.23, 15.66. Column 4 is labeled 20-payment life male (dollars) with entries 28.40, 29.11, 29.97, 30.68. Column 5 is labeled 20-payment life female (dollars) with entries 25.04, 25.96, 26.83, 27.43. Column 6 is labeled 20-year endowment male (dollars) with entries 37.02, 37.67, 38.23, 38.96. Column 7 is labeled 20-year endowment female (dollars) with entries 34.87, 35.30, 35.96, 36.44.
a.
$2,546.26
c.
$2,687.02
b.
$2,609.92
d.
$2,750.68
The value of the annual premium is $2609.9
How to determine the annual premium?From the question, we have the following parameters that can be used in our computation:
Policy value = $89,657
Plan = 20-Payment Life insurance policy
From the given table:
The annual premium for a 20-Payment Life insurance policy for a 26-year-old male is $29.11
This means that
Total cost = 20 * $29.11
Total cost = $582.2
The annual premium is then calculated as
Annual premium = Total cost * 4.4829
This gives
Annual premium = $582.2 * 4.4829
Evaluate
Annual premium = $2609.9
Hence, the annual premium is $2609.9
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heeeeeeeeeeeeeeeeeeeeeellllllllllllllllllllllllp
a dealership is allowing residents to test drive the following vehicles: 2 sports cars, 3 vans, and 3 trucks. if you select a random car to test drive, what are the odds it is not a sports car? write your answer as 1:2 which is reduced as much as possible.
Step-by-step explanation:
To find probability ratio wise
Sports Cars: Total Cars
3 + 3 + 2 = 8 total cars
2 sports cars
Ratio is 2:8
Reduces to 1:4
Which graph shows all the values that satisfy 2/9x + 3 > 4 5/9 ?
Answer:
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In graphing inequalities, the first thing to do is graph the equation first irregardless of the inequality symbol. In the given problem, the equation to be graphed is f(x) = 2/9x + 3. Since it has a general form of y=mx + b, this is a linear function. Plot the graph by assigning arbitrary points of x, then you get the corresponding f(x) values. Graph the x values against the f(x) values. The blue line the attached picture will be formed.
Next, you solve the equation by finding x. Just don't mind the inequality symbol:
2/9 x + 3 > 4 5/9
2/9x > 4 5/9 - 3
2/9x > 14/9
x > 14/9 ÷ 2/9
x > 7
Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.
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Consider this system of equations.
p=2n
p-5 = 1. 5n
What value of n makes the system of equations true?
Enter your answer in the box.
Therefore, the value of n that makes the system of equations true is n = 10.
Given:
p = 2n
p - 5 = 1.5n
Substituting the value of p from the first equation into the second equation, we have:
2n - 5 = 1.5n
Next, we can solve for n by subtracting 1.5n from both sides of the equation:
2n - 1.5n - 5 = 0.5n - 5
Simplifying further:
0.5n - 5 = 0
Adding 5 to both sides of the equation:
0.5n = 5
Dividing both sides by 0.5:
n = 10
Therefore, the value of n that makes the system of equations true is n = 10.
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t - 26 = -21
Solve for T
Answer:
t = 5
Step-by-step explanation:
t - 26 = -21
t - 26 + 26 = -21 + 26
t = 5
Answer:
t = 5
Step-by-step explanation:
t - 26 = - 21 ( add 26 to both sides )
t = - 21 + 26 = 5