Answer:
5.49 x 10^14
Step-by-step explanation:
The calculator is showing the scientific notation but instead of EE, it changes to x 10 ^
An equation is written in function notation.
g(x) = 2x - 4
Find g(3). Show your steps and thinking.
Answer:
x=3
Step-by-step explanation:
Yu-xi draws a triangle with two angles measuring and . what is the measure, in degrees, of the third angle? 78 79 101 102
Considering the definition of a right triangle and its properties, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.
Triangle definitionA triangle is a polygon that is determined by three line segments called sides, or by three non-aligned points called vertices.
In other words, a triangle is a polygon made up of three sides, as well as three vertices and three interior angles.
One of the properties of any triangle is that the sum of the interior angles is equal to 180°.
Missing angle value in this caseIn this case, you know that:
One interior angle measures 79°.Another interior angle measures 23°.The sum of the interior angles is equal to 180°.So the value of the missing angle can be calculated by:
79° + 23° + missing angle = 180°
Solving:
102° + missing angle = 180°
missing angle= 180° - 102°
missing angle= 78°
Finally, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.
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Answer:
The answer is 78.
Step-by-step explanation:
Person above is right and I'm also taking the test!!
The radius of a cylindrical water tank is 6 ft, and its height is 16 ft. What is the volume of the tank?
Answer:
about 1809.56 ft^3
Step-by-step explanation:
πr2h
= π×6^2×16
= 576π
= 1809.5573684677 feet3
Company XYZ closed at $100.76 per share with a P/E ratio of 1525 Answer the following questions. a. How much were earnings per share? b. Does the stock seem overpriced , underpriced, or about right given that the historical P/E ratio is 12-14? a. How much were earnings per share? $ Round to the nearest cent as needed. b. Based on the fact that the Company XYZ stock historically trades at an average P/E ratio of 12-14, does the stock price seem overpriced, underpriced, or about right?
The earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).
a. The earnings per share for Company XYZ can be calculated by dividing the closing price by the P/E ratio. In this case, the closing price is $100.76 and the P/E ratio is 1525. Therefore, the earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).
b. Based on the historical P/E ratio range of 12-14, the stock price of Company XYZ seems overpriced. The P/E ratio indicates the price investors are willing to pay for each dollar of earnings generated by the company. A higher P/E ratio suggests that investors have higher expectations for future earnings growth. In this case, the P/E ratio of 1525 is significantly higher than the historical range of 12-14, indicating that the stock is being valued at a much higher premium relative to its earnings. This suggests that the stock price may be inflated and not in line with the company's historical valuation metrics, indicating an overpriced condition.
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Why do I have to go to school after the 16 I thought that’s when we don’t goats?
1) Jackson made 468 calls in 36 days. What is the average number of calls he made in a day?
(please help me with this i dont have no more points no more) tysm if you do)
2)Hailey’s plane climbed 3,690 feet in 90 seconds. How fast did her plane climb every second?
Answer:
1) 13 calls a day
2) 41 feet per second
Question 7 (1 point) Listen Suppose we find x = 2 and y = 6 to be the proposed dimensions of a rectangle that minimize its area. What test should we use to ascertain that these dimensions produce the minimum area?
To ascertain that the dimensions x = 2 and y = 6 produce the minimum area of a rectangle, you should use the Second Derivative Test.
Here's a step-by-step explanation:
1. Write down the area function A(x, y) = x * y, given the dimensions x and y.
2. Use the constraint or relationship between x and y (if provided) to eliminate one variable.
3. Differentiate the resulting area function with respect to the remaining variable to obtain the first derivative, A'(x) or A'(y).
4. Find the critical points by setting the first derivative equal to zero and solving for the variable.
5. Differentiate the first derivative to obtain the second derivative, A''(x) or A''(y).
6. Evaluate the second derivative at the proposed dimensions (x = 2 and y = 6) to ascertain if it's a minimum. If A''(x) > 0 or A''(y) > 0, it indicates a minimum area.
By following these steps, you can confirm if the dimensions x = 2 and y = 6 minimize the area of the rectangle.
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Find the measure of angle C.
\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=4 \end{cases}\implies S=180(4-2)\implies S=360 \\\\[-0.35em] ~\dotfill\\\\ 360 ~~ = ~~ (7x+19)+(15x-1)+(4x-3)+(12x+3) \\\\\\ 360~~ = ~~38x+18\implies 342=38x\implies \cfrac{342}{38}=x\implies \boxed{9=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle C}{15x-1}\implies 15(9)-1\implies 135-1\implies \stackrel{\measuredangle C}{\text{\LARGE 134}}\)
NORMAL distribution is what shape?
how many in 1st deviation
2nd deviation
3rd deviation
A NORMAL distribution is a symmetrical probability distribution with a bell-shaped curve. It is also called a Gaussian distribution or a normal curve. This distribution is often used in statistics to represent a large number of natural phenomena, such as the distribution of height, weight, or IQ scores in a population.
The first deviation of a NORMAL distribution includes 68.2% of the data. This means that if we were to take a random sample of data from a normally distributed population, about 68.2% of the data would be within one standard deviation of the mean.
The second deviation includes 95.4% of the data. This means that about 95.4% of the data would be within two standard deviations of the mean.
The third deviation includes 99.7% of the data. This means that about 99.7% of the data would be within three standard deviations of the mean.
It is important to note that while these percentages hold true for a NORMAL distribution, they may not apply to other types of distributions.
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Line v has an equation of y = -2x + 5. Perpendicular to line v is line w, which passes through
the point (6, -5). What is the equation of line w?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
Answer:
Line W's equation is y= 1/2x - 8
Step-by-step explanation:
how do you find tan(90-x)
by using the image
Answer:
tan(90 - x) = \(\frac{3}{4}\)
Step-by-step explanation:
90 - x represents the third angle in the triangle , so
tan(90 - x) = \(\frac{opposite}{adjacent}\) = \(\frac{3}{4}\) = 0.75
Mark wants to fence 4 rectangular gardens, each with a length of 9 1/4 feet and a width of 4 1/2feet. What is the length of fencing mark needs to surround all 4 gardens
Answer:
110 ft
Step-by-step explanation:
The length of fencing is four times the perimeter of one garden.
The formula for the perimeter of a rectangle is
P = 2l + 2w
The total perimeter for all four rectangles is
P = 4× (2l + 2w) = 8l + 8w
Data:
l = 9¼ ft
w = 4½ ft
Calculation:
P = 8l + 8w = 8×9¼ + 8×4½ = 72⁸/₄ + 32⁸/₂ =(72 + 2) + (32 + 4) = 74 + 36 = 110 ft
The total length of fencing is 110 ft.
If the national economy shrank an annual rate of 10% per year for four consecutive years in the economy shrank by 40% over the four-year period. Is the statement true or false? if false, what would the economy actually shrink by over the four year period?
The statement is false. When an economy shrinks at a constant annual rate, the cumulative decline over multiple years is not simply the sum of the annual rates of decline.
To calculate the cumulative decline over the four-year period, we need to use the concept of compound growth/decline.
If the economy shrinks at a rate of 10% per year for four consecutive years, the actual cumulative decline can be calculated as follows:
Cumulative decline = (1 - Rate of decline) ^ Number of years
In this case, the rate of decline is 10% or 0.1, and the number of years is 4.
Cumulative decline = (1 - 0.1) ^ 4
Cumulative decline = 0.9 ^ 4
Cumulative decline = 0.6561
So, the economy would actually shrink by approximately 65.61% over the four-year period, not 40%.
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Average Cost Jesaki Water 5 ports incurs the following costs in producing x water ski vests in one day, for 0
The average cost of producing x water ski vests in one day for Jesaki Water 5 is unknown.
To determine the average cost of producing x water ski vests in one day for Jesaki Water 5, we need additional information about the costs incurred. The given information does not provide the specific costs associated with producing the water ski vests, such as the fixed costs, variable costs, or the total costs.
The average cost is calculated by dividing the total cost by the quantity produced. However, without knowing the cost structure and the quantity produced, we cannot determine the average cost.
To find the average cost, we would need information such as the fixed costs (costs that do not vary with the quantity produced), the variable costs (costs that depend on the quantity produced), and the total costs (the sum of fixed and variable costs) for producing the water ski vests.
Without this information, we are unable to determine the average cost of producing x water ski vests in one day for Jesaki Water 5.
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Jayden is making frozen dog treats for his puppy Spot. He mixes 1 quart of yogurt, 10 fluid ounces of peanut butter, and 6 fluid ounces of honey. Then, he freezes the mixture in ice cube trays. Each tray holds 16 fluid ounces of treats. How many trays of dog treats does Jayden make?
Jaden produces four trays in total.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, Jayden is making frozen dog treats for his puppy Spot. He mixes 1 quart of yogurt, 10 fluid ounces of peanut butter, and 6 fluid ounces of honey. Then, he freezes the mixture in ice cube trays.
Since 1 quarts = 32 fluid ounces
The total quantity of a mixture (in ounces) = 32 + 10 + 6
The total quantity of a mixture (in ounces) = 48
Since Each tray holds 16 fluid ounces of treats.
Thus the total number of trays Jayden makes = 48/ 16
the total number of trays Jayden makes = 4
Therefore, the total number of trays Jaden makes is 4.
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A survey of 49 randomly selected iPhone owners showed that the purchase price has a mean of $680 with a sample standard deviation of $21. (Use z Distribution Table.) A) Compute the standard error of the sample mean. (Round your answer to the nearest whole number.) B) Compute the 99% confidence interval for the mean. (Use t Distribution Table.) (Round your answers to 3 decimal places.) C) To be 99% confident, how large a sample is needed to estimate the population mean within $7? (Round up your answer to the next whole number.)
Standard error of the sample mean ≈ $3. The 99% confidence interval for the mean is approximately $671.966 to $688.034. A sample size of 59.669 is needed to estimate the population mean within $7 with 99% confidence.
A) To compute the standard error of the sample mean, we use the formula: standard error = sample standard deviation / √(sample size).
Standard error = $21 / √49 ≈ $3
B) To compute the 99% confidence interval for the mean, we use the t-distribution. The formula for the confidence interval is:
Confidence interval = sample mean ± (t-value * standard error)
First, we need to find the t-value for a 99% confidence level with (n-1) degrees of freedom. Since the sample size is 49, the degrees of freedom is 49-1=48. Using the t Distribution Table, the t-value for a 99% confidence level and 48 degrees of freedom is approximately 2.678.
Confidence interval = $680 ± (2.678 * $3)
Lower limit = $680 - (2.678 * $3)
≈ $680 - $8.034
≈ $671.966
Upper limit = $680 + (2.678 * $3)
≈ $680 + $8.034
≈ $688.034
Therefore, the 99% confidence interval for the mean is approximately $671.966 to $688.034.
C) To determine the sample size needed to estimate the population mean within $7 and be 99% confident, we use the formula: sample size = (z-value * sample standard deviation / margin of error)².
The z-value for a 99% confidence level is approximately 2.576 (obtained from the z Distribution Table).
Margin of error = $7.
Sample size = (2.576 * $21 / $7)²
= (2.576 * 3)²
= 7.728²
≈ 59.669
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Find the range for the measure of the third side of a triangle when the measures of the other two sides are 18 ft and 23 ft.
Answer:
The measure of the third side of a triangle, when the measures of the other two sides are 18 ft and 23 ft, must be greater than the difference between the measures of the other two sides (which is 18 ft - 23 ft = -5 ft) and less than the sum of the measures of the other two sides (which is 18 ft + 23 ft = 41 ft).
This is because according to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So the measure of the third side must be between the difference of the two given sides and the sum of the two given sides.
Therefore the range of the measure of the third side of a triangle with side lengths 18 ft and 23 ft is:
(-5 ft < x < 41 ft)
or
[x > -5 ft and x < 41 ft].
It is also important to note that any value of x within this range will produce a valid triangle, however, any value less than -5 or greater than 41 will not.
Step-by-step explanation:
How do you translate a triangle with coordinates?
To translate a triangle with coordinates, you need to add the same value to each of the x and y coordinates of each vertex of the triangle. This will shift the triangle in the desired direction.
To translate a triangle with coordinates, you need to add the same value to each of the x and y coordinates of each vertex of the triangle. For example, if you wanted to translate the triangle with coordinates (1,2), (3,4), and (5,6) by two units to the right and two units up, you would add two to each x-coordinate and two to each y-coordinate. The new triangle would have coordinates (3,4), (5,6), and (7, 8).
1. Identify the coordinates for the triangle: (1,2), (3,4), and (5,6).
2. Decide how much you want to translate the triangle: two units to the right and two units up.
3. Add two to each x-coordinate and two to each y-coordinate: (3,4), (5,6), and (7,8).
4. The triangle is now translated two units to the right and two units up.
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PLEASE HELP WILL
MARK BRAINLIST
The two triangles are similar. b = 19, y = 9, and a = 26, what is the value of x? Round your answer to the nearest tenth (1
decimal place).
Help me please!!!!!!!
Answer:
900 cubes with side of 1/10 ft will fill the prism completely for a total volume of 9/10 ft ³
Answer:
total volume=l×b×h=1 1/2×1 1/5×1/2=3/2×6/5×1/2
=18/20=9/10ft³
I think
At the instant shown, the shaft and plate rotates with an angular velocity of 19 rad/s and angular acceleration of 9 rad/s2 0.6 m 0.2 m 0.4m 0.3 m 0.3 m 0.4 m Part A eterminethe wocl a n D sea c Enter the ", y, and Z components of the velocity separated by commas vec m/s Submit Request Answer Part B Determine the acceleration of point D located on the corner of the plate at this instant. Enter the , y, and Z components of the velocity separated by commas vec m/s Submit Request Answer
The acceleration components of point D are, ax = 3.6 m/s², ay = 6.4 m/s², az = -1.14 m/s²
At the instant shown, the shaft and plate rotates with an angular velocity of 19 rad/s and angular acceleration of 9 rad/s2. The given diagram is shown below. Angular velocity (w) = 19 rad/sAngular acceleration (α) = 9 rad/s²Plate dimension AB = 0.6 m, BC = 0.2 m, CD = 0.4 m, DA = 0.3 m, AE = 0.3 m and EF = 0.4 m.
Determine the wocl and Dsea of Enter the ", y, and Z components of the velocity separated by commas vec m/sThe velocity components for point D can be calculated using the following formula.Vd = R x wWhere R is the position vector of D relative to the origin.
According to the given diagram, the position vector of point D relative to the origin is, R = 0.2i + 0.4j + 0.3kThe velocity of point D can be calculated as follows.Vd = R x w = 0.2i + 0.4j + 0.3k x 19The cross product of R and w can be calculated as follows.i j k 0.2 0.4 0.3 0 19 0 = [(0.4 × 0) - (0.3 × 19)] i - [(0.2 × 0) - (0.3 × 0)] j + [(0.2 × 19) - (0.4 × 0)] kVd = -5.7i + 6.8kThus, the velocity components of point D are, Vx = -5.7 m/s, Vy = 0 m/s, Vz = 6.8 m/s
Determine the acceleration of point D located on the corner of the plate at this instant. Enter the, y, and Z components of the velocity separated by commas vec m/sThe acceleration components of point D can be calculated using the following formula.aD = R x α + w x (w x R)Where R is the position vector of D relative to the origin.
According to the given diagram, the position vector of point D relative to the origin is, R = 0.2i + 0.4j + 0.3kThe acceleration of point D can be calculated as follows.aD = R x α + w x (w x R) = (0.2i + 0.4j + 0.3k) x 9 + 19 x (19 x (0.2i + 0.4j + 0.3k)) = (0.4k - 0.3j) x 9 + 19 x (0.4 x (0.4j - 0.3k))aD = 3.6i + 6.4j - 1.14k.
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What is the value of x
Answer:
x=12the opposite side of parallelogram are equal
Answer:
8
Step-by-step explanation:
Since, intercepts made by parallel lines on transversals are in proportion.
Therefore,
\( \frac{x}{24} = \frac{12}{36} \\ \\ \frac{x}{24} = \frac{1}{3} \\ \\ x = \frac{24}{3} \\ \\ x = 8\)
Question 13A neighborhood association surveyed its residents regarding marital status and living situation. The results are in the table. What is the probabilitythat a resident is married given that the person owns their home?TotalOwns a Home150Rents a Home17032080250330173SingleMarriedDivorcedWidowedTotal53373201205059087910O050을拉茲结印0
This question is a conditional probability question
P(B|A) means Event B given Event A
In other words, event A has already happened, now what is the chance of event B?
From the given question
let
B = the event that a resident is married.
A = the event that the person owns their home.
So
Thus
\(P(B\text{/A)=}\frac{80}{320}=\frac{1}{4}\)which of the following statements are true about eigenvalues and their algebraic multiplicity. The characteristic polynomial of a 3x3 matrix is always a cubic (degree 3) polynomial. if A - I is a matrix of full rank, then i must be an eigenvalue for A If Aisa 3x3 matrix of rank 2, then A must have at most 2 eigenvalues Any 7x7 matrix must have at least one real eigenvalue. If the graph of the characteristic polynomial doesn't cross the x-axis, then the matrix has no real eigenvalues Your answer is incorrect.
The correct statements about eigenvalues and their algebraic multiplicity are as follows:
- The characteristic polynomial of a 3x3 matrix is always a cubic (degree 3) polynomial.
- If A - I is a matrix of full rank, then 1 (not i) must be an eigenvalue for A.
- If A is a 3x3 matrix of rank 2, then A must have at most 2 eigenvalues.
- Any 7x7 matrix must have at least one real eigenvalue.
Explanation:
1. The characteristic polynomial of a matrix is obtained by subtracting the identity matrix from the given matrix and taking the determinant. Since a 3x3 matrix has three eigenvalues, the characteristic polynomial will be a cubic polynomial.
2. If A - I, where I is the identity matrix, has full rank, it means that the matrix A does not have 1 as an eigenvalue. This is because if 1 were an eigenvalue, then A - I would have a non-trivial nullspace, resulting in the matrix not having full rank.
3. The rank of a matrix represents the number of linearly independent columns or rows. If a 3x3 matrix has rank 2, it means that there are two linearly independent columns or rows, which implies that there are at most two eigenvalues.
4. The statement that any 7x7 matrix must have at least one real eigenvalue is true. This is based on the fact that the characteristic polynomial of a real matrix always has real coefficients, and complex eigenvalues must occur in conjugate pairs.
5. If the graph of the characteristic polynomial does not cross the x-axis, it means that the polynomial does not have any real roots. Therefore, the matrix does not have any real eigenvalues.
Hence, the correct statements about eigenvalues and their algebraic multiplicity have been explained.
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Which of the following describes the derivative function f'(x) of a quadratic function f(x)?
A. Quadratic
B. Linear
C. Constant
D. Cubic
Linear function is the derivative function of a quadratic function.
What is Differenciation ?A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of change based on one of its variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time.
A function's sensitivity to change with regard to a change in its argument is measured by the derivative of a function of a real variable. Calculus's core tool is the derivative.
A linear function constitutes a quadratic function's derivative. As Fermat previously understood, the tangent is horizontal and the derivative equals zero at a local maximum or minimum. We can observe that the tangent of a parabola is horizontal at its vertex and that the function's derivative intersects the x-axis at this point.
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What is the correct answer?
Answer:
100 sq cm
Step-by-step explanation:
area of the rectangle
10x8=80
area of the triangle
8x5=40/2=20
80+20=100
Please help me with this, im literally so confused.
The answer would be
\(w = \frac{jk - 5}{6} \)
Hope the attachment can help!
Answer:
i dont have an exact answer but i can give an explanation to what i believe. 1, you'd have to find the second digit after 6. 2, divide that by k and your answer is j.
Find the unit rate.
16 passengers in 4 cars
How many passengers per car?
Answer:
There are 4 passengers in each car.
Step-by-step explanation:
Answer:
There is 4 people in each car
Step-by-step explanation:
16/4 is 4
whats the answer to this. In circle K with m \angle JKL= 144m∠JKL=144 and JK=6JK=6 units, find the length of arc JL. Round to the nearest hundredth.
The length of arc JL is 24.46 units see attachment for diagram.
What is an arc?An arc is a part of the circumference of a circle that meets two radii of a circle to form a sector.
Analysis:
From bigger triangle, if we bisect 144, the line meets JL at 90°.
To find AL,
sin 72 = AL/6
AL = 6 sin 72 = 5.71
To find the angle at O
∠O = 2∠K ( twice angle at circumference is equal to angle at center)
∠O = 2 (144) = 288°
For smaller right-angled triangle,
sin 144 = AL/OL
sin 144 = 5.71/OL
OL = radius of circle = 5.71/0.587 = 9.73 unit
length of arc JL = ∅/360 x 2πr
= 144/360 x 2 x 3.142 x 9.73 = 24.46 units
In conclusion, the length of arc JL is 24.46 units
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Find the volume of radius 7 cm in diameter of 12 cm in 3.14
The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.
To find the volume of a sphere with a radius of 7 cm, we can use the formula:
V = (4/3) * π * r^3
where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.
The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:
V = (4/3) * π * (6 cm)^3
V = (4/3) * 3.14 * (6 cm)^3
V = (4/3) * 3.14 * 216 cm^3
V = 904.32 cm^3
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