Answer:
I think 54 because it's not a squared number
Step-by-step explanation:
8x8=64
9x9=81
12x12=144
Answer the photo below thanks
Answer:
A . 496 ft²
Step-by-step explanation:
Area = ½ × base × height
= ½ × 62 × 16
=496 ft²
Which expression does not factor? m3 1 m3 – 1 m2 1 m2 – 1
The expression that does not factor on the mentioned is m² + 1.
Why it cannot be factor?Because other expression can be factored, while m² + 1 has no factor form. For make it clear we can calculate to find the form expression and find the calculate power or result.
m³ + 1 =
The formula to calculate it is, a³ + b³ = m³ + 1³ And then it could be, (m + 1) (m² - m + 1).m³ - 1 =
The formula to calculate it is, a³ + b³ = m³ - 1³ a³ + b³ = (a + b) (a² - ab + b²)And then the power could be, (m - 1)(m² + m + 1²) = (m-1)(m² + m + 1).m² - 1 =
The formula to calculate it is, a² - b² = (a + b)(a - b).and then it could be, m² - 1 = (m + 1)(m - 1).
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Which product is represented by the model?
A. 0.05×0.04=0.002
B. 5×0.4=2
C. 0.5×0.4=0.2
D. 0.5×0.04=0.02
0.05×0.04=0.002 is the product represented by the model
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given:
5 column (hundred grid) = 5/100 = 0.05
4 row (hundred grid) = 4/100 = 0.04
We need to find Area equation
Computation:
Area equation = 0.05 x 0.04
0.05 x 0.04 = 0.002
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1. Each of 9 friends chooses her favorite positive integer
a. The median of the chosen number is 91, what is the smallest the average of the 9 chosen numbers could be?
b. The median of the chosen number is 91, is there an limit to how large the aerge of the chosen numbers can be? If so, what is the largest the average can be?
c. The average of the chosen number is 91, what is the smallest the median of the 9 chosen numbers could be?
d. The average of the chosen numbers is 91. What is the largest the median of the chosen numbers could be?
Answer:
a) 1
b) There is no limit to which the largest number can be because we are only given information about the median.
c) 1
d) 90
11 There are men and women at a meeting.
There are 28 women.
30% of the people at the meeting are men.
Work out the total number of people at the meeting.
Answer:
40 people
Step-by-step explanation:
Step one:
given data
let the total number of persons be x
There are 28 women
The number of men = 30% of x
Step two:
So the total person is given as
30/100*x+28= x
solve for x
0.3x+28= x
collect like terms
x-0.3x= 28
0.7x= 28
divide both sides by 0.7
x= 28/0.7
x= 40 people
Give as much information as you can about the P value of a Te test and each of the following situations. round to 4 decimal places.
(a) two-tailed test, df = 14, t = -1.80 X (b) two-tailed test, n = 15, t = 1.80
For two-tailed test, df = 14, t = -1.80 X, P-value = 0.0928. For two-tailed test, n = 15, t = 1.80, P-value = 0.0944.
The P-value of a t-test is the probability of getting the observed outcome or one that is even more extreme given that the null hypothesis is true. Here is how to calculate the P-value of a two-tailed t-test for each of the given scenarios:
(a) two-tailed test, df = 14, t = -1.80 X
First, we need to find the area in the tails of the t-distribution that corresponds to a t-value of -1.80 and degrees of freedom (df) of 14. Using a t-table or calculator, we find that the area in the left tail is 0.0464. Since this is a two-tailed test, we need to double this value to get the total P-value, which is:
P-value = 2 × 0.0464 = 0.0928(rounded to 4 decimal places)
(b) two-tailed test, n = 15, t = 1.80
For this scenario, we don't have degrees of freedom, but we can calculate them as follows: df = n - 1 = 15 - 1 = 14
Now, we need to find the area in the tails of the t-distribution that corresponds to a t-value of 1.80 and degrees of freedom of 14. Using a t-table or calculator, we find that the area in the right tail is 0.0472. Since this is a two-tailed test, we need to double this value to get the total P-value, which is:
P-value = 2 × 0.0472 = 0.0944(rounded to 4 decimal places)
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What are the solutions for the given equation?
Ox= -2±2√//5
O x = -2±i√5
O x = -2±2i √5
0 x = -2± √√√5
x² + 4x +9=0
The equation x² + 4x + 9 = 0 are complex numbers: x = -2 + i√5 and x = -2 - i√5.
To find the solutions for the equation x² + 4x + 9 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
Comparing this equation with the given equation x² + 4x + 9 = 0, we can see that a = 1, b = 4, and c = 9.
Plugging in these values into the quadratic formula, we have:
x = (-4 ± √(4² - 4(1)(9))) / (2(1))
x = (-4 ± √(16 - 36)) / 2
x = (-4 ± √(-20)) / 2
Since the value inside the square root is negative, we know that the solutions will involve complex numbers. Simplifying further, we have:
x = (-4 ± i√20) / 2
x = (-4 ± 2i√5) / 2
Simplifying the expression by dividing both the numerator and denominator by 2, we get:
x = -2 ± i√5
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You (or your parents) are debating about whether to buy a new car for $19,072.00 or a used car for $15,635.00. Sales tax is 4.5%. You (or your parents) plan to make a down payment of $1,200.00 and your credit rating is fair. Use the table below to determine the difference in interest accrued by the end of the first month.
Secured Unsecured
Credit APR (%) APR (%)
Excellent 5.4 5.65
Good 5.95 6.35
Average 6.30 6.90
Fair 7.55 7.60
Poor 9.80 10.0
Answer: $20.95
Due to credit rating being fair:
Secured APR = 7.00%
Loan amount = sale price + tax - down payment
New car = \(19027 + (19072 x 0.045) - 1200 = 18730.24\)
Used car = \(15635 + (15635 x 0.045) - 1200 = 15138.575\)
---------------------------------------------------------------------------
Monthly interest = loan amount \(x 0.07 x 1/12\)
New car = \(18730.24 x 0.07 x 1/12 = 109.26\)
Used car = \(15138.575 x 0.07 x 1/12 = 88.31\)
Thus, the difference is \(109.26 - 88.31 = $20.95\)
Which of the following values is not an irrational number?
80, 7, 2.87, √59
80, 7, and 2.87 are not irrational numbers.
What is an irrational number?
An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio. If N is irrational, then N is not equal to p/q where p and q are integers and q is not equal to 0. Example: √2, √3, √5, etc all are irrational.
Given numbers: 80, 7, 2.87, √59
80 = It is a rational number
7 = It is a rational number
2.87 = It is a rational number
√59 = It is an irrational number.
Hence, 80, 7, and 2.87 are not irrational numbers.
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How many degrees is 13/18 of a semicircle?
Answer:
130° degrees
Step-by-step explanation:
semi circle = 180°
so 13/18 of 180° = 130°
Answer:
Step-by-step explanation:
\(\dfrac{13}{18}*180=13*10 \\\\\\\)
= 130°
A town has a population of 5000 and grows at 3. 5% every year. What will be the population after 15 years, to the nearest whole number?.
Answer:
26,2500
Step-by-step explanation:
What are the view of different uitor who are concerned with the caket incident? what do you think after the view and remark
According to the comments and opinions of many people involved in the coffin incident, fate is all-knowing and controls every action a person takes. When they choose, they have the wisdom and wit to lose, as Portia correctly observes.
What does Portia think of all of her potential lovers?Portia's witty and entertaining descriptions of her suitors demonstrate that she has not been impressed by any of them. According to her father's will, Portia's future husbands must successfully perform a mission. Three caskets are available for the men to select from: one is made of gold, one of silver, and one of lead. The Prince of Morocco, the Prince of Arragon, and Bassanio are the three suitors that Shakespeare emphasises for Portia. As these three men are the most significant contenders for Portia's hand in marriage, he does this to increase the dramatic tension.The correct coffin is made of lead, and it forewarns the buyer that he must sacrifice and take a chance with everything he has.To learn more about potential lovers, refer to:
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Is the line x = 1 - 2t, y = 2 + 5t, z = -3t parallel to the plane 2x + y - z = 8? Give reasons for your answer.
No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.
To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.
The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).
The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).
To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:
(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4
Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.
The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.
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Annie wants to create a right triangle with side lengths 12 centimeters, 35 centimeters, and
37 centimeters.
Is this possible? Why or why not?
Yes, because 12 + 35 is not equal to 37.
Yes, because 12? + 352 is equal to 372
No, because 12 + 35 is greater than 37.
No, because 12? + 352 is less than 372.
Answer: yes because 12^2+35^2=37^2
Step-by-step explanation:
Consider the two tables T1 and T2 shown.Show the results of the following operations: (9 points each. Total 36 points)
Table T1
P Q R
10 A 5
15 B 8
25 A 6
Table T2
A B C
10 B 6
25 C 3
10 B 5
T1 JOIN T1.P = T2.A T2
T1 (LEFT OUTER JOIN) T1.P = T2.A T2
T1 (RIGHT OUTER JOIN) T1.Q = T2.B T2
T1 JOIN (T1.P = T2.A AND T1.R = T2.C) T2
T1 LEFT OUTER JOIN T2 ON T1.P = T2.A T1.P T1.R T2.A T2.C10 B 6 NULL NULLNULL NULL NULL 7 C T2 JOIN (T1.P = T2.A AND T1.R = T2.C) T2 T1.P T1.R T2.A T2.CNULL NULL NULL NULL NULL NULL NULL NULL
Consider the two tables T1 and T2 and the operations performed on them. The results of the operations are shown above. In the first operation, a LEFT OUTER JOIN is performed on T1 and T2, where the join is made on the basis of T1.P = T2.A. In the second operation, a JOIN is performed on T1 and T2, where the join is made on the basis of T1.P = T2.A AND T1.R = T2.C. The keyword 'LEFT OUTER JOIN' has been bolded in the main answer, while 'JOIN' has been bolded in the supporting explanation.
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g(x)=2x+4 solve for c when g(x)-8
Answer: ( g+G) (x) =12+2x
Step-by-step explanation:
i used an math ap it is an app you can get on your phone
A rectangular tank with a square base, an open top, and a volume of is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area.
The tank with the smallest surface area has dimensions of 6ft.
s = 12ft and h = 6ft.
A(s) = s² + 4 × (V ÷ s)
The rectangular tank has a capacity of 864 feet.
Let the square base's long sides be.
Let h represent the tank's height.
Let A represent the tank's whole area.
A = (Base Area) + (4 × Lateral Area)
Lateral Area = s × h
Lateral Area = s × (V ÷ s²)
Lateral Area = (V ÷ s)
Base Area = s²
Compared to the objective function,
A(s) = s² + 4 × (V ÷ s)
A(s) = s² + 4 × (864 ÷ s)
The area function's derivative,
A'(s) = 2s - (3456 ÷ s²)
The smallest surface area is now.
A'(s) = 0
2s - (3456 ÷ s²) = 0
2 × \(s^{3}\) = 3456
\(s^{3}\) = 3456
s = \(\sqrt[3]{3456}\)
s = 12ft
The volume is,
V = s² × h
864 = 12² × h
h = 6ft
As a result, the tank's height is 6 feet, and the square base's long sides measure 12 feet.
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The question is -
A rectangular tank with a square base, an open top, and a volume of 864 ft cubed is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. Let s be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective function.
Select the correct answer. Which equation describes the line graphed above? A. y = -3x - 1 B. y = -1/3x - 3 C. y = -3x - 3 D. y = -1/3x - 1
The correct answer is C: y = -3x - 3. This equation represents the line graphed above with a slope of -3 and a y-intercept of -3.
The equation that describes the line graphed above is option C: y = -3x - 3.
To determine the equation of a line, we need to use the slope-intercept form, which is y = mx + b, where m represents the slope of the line and b represents the y-intercept.
Looking at the line graphed above, we can determine the slope by comparing the change in y to the change in x. For every 1 unit increase in x, the line decreases by 3 units in the y-direction. Therefore, the slope is -3.
Next, we need to determine the y-intercept, which is the value of y when x is equal to 0. By looking at the graph, we can see that the line intersects the y-axis at y = -3.
Putting it all together, we have the equation y = -3x - 3. This equation represents a line with a slope of -3 and a y-intercept of -3.
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A seagull is flying 20 feet above sea level while a shark is swimming 30 feet below sea level. What is the distance between the seagull and the shark?
Answer: 50 ft
Step-by-step explanation:
The seagull is 20 ft above sea level.
Shark is 30 ft below seas level.
To find their distance, add their distances from sea level because it is middle ground between where they both are:
= 20 + 30
= 50 ft
What is the daily recommended amount of potassium if 10% is 460 mg?
Answer:
4600 mg
Explanation:
The daily recommended amount of potassium is the amount equivalent to 100%. So, taking into account that 10% is 460 mg, we can say that 100% is equal to:
\(100\text{ \% }\times\frac{460\text{ mg}}{10\text{ \%}}=\frac{100\times460}{10}=\frac{46000}{10}=4600\text{ mg}\)Therefore, the daily recommended amount of potassium is 4600 mg.
What is the probability of rolling a four on the first die and a two on the second die?
(There are 6 sides)
Answer:
1/36
Step-by-step explanation:
Probability of hitting 4 : 1/6
Probability of hitting 2: 1/6
The probability of these two elements: 1/6 * 1/6 = 1/36
Apply the distributive property to create an equivalent expression.
4(3+1/4c- 1/2d)=
Answer:
4(3+1/4c-1/2d)
12+c-2d
Let me know if this helps!
Calculating the Number of Periods [LO4] You expect to receive $39,000 at graduation in two years. You plan on investing it at 10 percent until you have $174,000. How long will you wait from now? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Period years
You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.
To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:
FV = PV * \((1 + r)^n\)
Where:
FV is the future value
PV is the present value (initial investment)
r is the interest rate per period
n is the number of periods
In this case:
PV = $39,000
FV = $174,000
r = 10% per year
Let's calculate the number of periods (years):
FV = PV * \((1 + r)^n\)
174,000 = 39,000 * \((1 + 0.10)^n\)
Divide both sides by 39,000:
4.4615 = \((1.10)^n\)
Take the logarithm of both sides to solve for n:
log(4.4615) = n * log(1.10)
n ≈ log(4.4615) / log(1.10)
n ≈ 2.1270 / 0.0414
n ≈ 51.33 (rounded to two decimal places)
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Can anyone help with this?
The equation for the given pattern will be y = -2x + 0.
What is a linear function?A linear function can be used to depict a straight line on the coordinate plane.
The slope of a linear function is fixed and constant.
A linear function has the formula f(x) = ax + b, where a and b are real numbers.
As per the given table of values for a linear function.
Let's suppose the linear function is as
y = -2x + c
Put (1,-2)
-2 = -2 x 1 + c
c = 0
Thus, it will be y = -2x + 0
Hence "y = -2x + 0 will be the equation for the given pattern".
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There is a pair of parallel sides in the following shape. What is the area of the shape
The calculated value of the total area of the figure is 49 square units
How to calculate the area of the figureFrom the question, we have the following parameters that can be used in our computation:
The figure
Where, we have
Shape = trapezoid
The total area of the trapezoid is calculated as
Area = 1/2 * Sum of parallel sides * Height
So, we have
Area = 1/2 * (11 + 3) * 7
Evaluate
Area = 49
Hence. the total area of the figure is 49 square units
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A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49. A batch of muffins uses 3/4 cup of sugar. How many whole batches can you make if you use as much of the sugar as possible? What is the cost of sugar for each batch? (1 cup = 48 teaspoons; do not consider leftover sugar in the cost calculation.)
Which exponential equation is equivalent to the logarithmic equation below?
log 300 = a
A. 3000 = 10
B. a10 = 300
C. 100 = 300
D. 30010 = a
Answer:
\(\implies\boxed{ 10^a = 300 }\)
Step-by-step explanation:
We are provided logarithmic equation , which is ,
\(\implies log_{10}^{300}= a \)
Here we took the base as 10 , since nothing is mentioned about that in Question .Say if we have a expoteintial equation ,
\(\implies a^m = n \)
In logarithmic form it is ,
\(\implies log_a^n = m \)
Similarly our required answer will be ,
\(\implies\boxed{ 10^a = 300 }\)
Solve the system of equations.
x+6y=-7
2x+12y=-14
x=
y=
Answer:
Solve the system of equations.
x+6y=-7
2x+12y=-14
x=1
y=12
Step-by-step explanation:
Answer:
∞ amount of solutions
caleb earned 15 dollars on monday and 25 dollars on saturday when he raked his neighbors yard. on sunday he gave 10 percent in the offering at church. how much did he give away.
15 + 25 = 40
10% of 40 = 4
Therefore, Caleb gave $4 to the church!
Hope this helps :D
The equation ( x + 6)^2 + ( y + 4) ^2 = 36 models the position and range of the source of a radio signal.
1. Where is the signal located?
2. What is the range of the signal? Only enter numerical values.
1) The equation (x + 6)² + (y + 4)² = 36 represents a circle centered at the point (-6, -4) with a radius of 6. Therefore, the signal is located at the point (-6, -4).
What is the range of the signal?2) The range of the signal refers to the maximum distance that the signal can travel before it becomes too weak to be detected. In this case, the range of the signal is equal to the radius of the circle, which is 6. This means that any point on the circle (x + 6)² + (y + 4)² = 36 is 6 units away from the signal located at (-6, -4).
To visualize this, imagine the signal as a point source located at (-6, -4), and the range of the signal as a circle centered at the signal with a radius of 6. Any point on this circle represents the farthest distance that the signal can reach and still be detected.
In summary, the signal is located at (-6, -4) and its range is 6 units, as represented by the circle (x + 6)² + (y + 4)² = 36.
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