Simplify Simplify: (h^(1/3))/(h^(1/4))
Answer: b
Step-by-step explanation:
[tex]\frac{h^{\frac{1}{3} } }{h^{\frac{1}{4} } }[/tex] I started to subtract exponents than shortly realized that form is not an answer. The want you to covert the top and bottom to roots and that is your anser.
When you have a number to a fractional exponent that is your root
[tex]=\frac{\sqrt[3]{h} }{\sqrt[4]{h} }[/tex]
which is b
Express the radical using the imaginary unit, i ii. Express your answer in simplified form. ± − 49 = ±
The given radical in imaginary form as ±7i.
The given number is √-49.
Radical form is the expression that involves radical signs such as square root, cube root, etc instead of using exponents to describe the same entity.
Here, √-49 =±7i
Therefore, the given radical in imaginary form as ±7i.
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What is the 7th term for the following sequence 8,12,18,27
A formula for calculating A, the area of trapezoid, is A = 1/2 h ( b + b ), where h is height of the trapezoid, and b1 and b2 are the lengths of the parallel sides. What is A when h=4 centimeters, b1 = 10 centimeters, and b2 = 5 centimeters ? A. 35 cm 2 B. 30 cm 2 C. 25 cm 2 D. 45 cm 2 ?
The area of the trapezium is 30 square centimeters at the values of h = 4 cm, b = 10 cm, and b' = 5 cm.
We can use the formula for the area of a trapezoid:
A = 1/2 * h * (b + b')
Substituting the given values, we get:
A = 1/2 * 4 cm * (10 cm + 5 cm)
Simplifying the expression inside the parentheses:
A = 1/2 * 4 cm * 15 cm
Multiplying:
A = 30 cm²
Therefore, when h = 4 cm, b = 10 cm, and b' = 5 cm, the area of the trapezoid is 30 square centimeters.
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write the following using rational exponents
3√10²
√3 to the -3
You are planning for a very early retirement. You would like to retire at age 40 and have enough money saved to be able to draw per year for the next years (based on family history, you think you'll live to age ). You plan to save for retirement by making equal annual installments (from age to age 40) into a fairly risky investment fund that you expect will earn % per year. You will leave the money in this fund until it is completely depleted when you are years old.
After considering the given values we can come to the conclusion that the annual installment that has to be made to the investment fund to retire within the age of 40 with enough money to draw $75,000 per year until age 90, assuming a risky investment that earns 8% per year, is approximately $16,431.
To evaluate the equal annual installment that you need to make from age to age 40, we need to use the present value of an annuity formula:
PMT = (PV × r) / (1 - (1 + r)⁻ⁿ)
Here,
PMT= equal annual installment,
PV =present value of the investment fund at age 40,
r = expected annual rate of return on the fund,
n = number of years over which the payments will be made.
We can proceed by evaluating the present value of the investment fund that we need at age 40, based on the assumption that we will draw per year for the next years.
Let's call this present value PV2. Assuming an interest rate of r2 for the period from age 40 to age, we can calculate PV2 using the present value of a perpetuity formula:
PV2 = PMT2 / r2
Here,
PMT2 = annual draw we plan to make from age to age .
Next, we need to evaluate the present value of the investment fund at age, which we will call PV1. Now we can apply the future value of an annuity formula:
FV = PMT × ((1 + r)ⁿ⁻¹) / r
Here,
FV = future value of the annuity at age,
PMT = equal annual installment,
r = expected annual rate of return on the fund,
n = number of years over which the payments will be made (in this case, the number of years from age to age ).
We can then apply the present value formula to evaluate PV1:
PV1 = FV / (1 + r)ⁿ
Finally, we can apply substitution the values we have evaluated into the PMT formula to find the equal annual installment:
PMT = (PV1 × r) / (1 - (1 + r)⁻ⁿ)
Once we have calculated PMT, we can start making annual payments into the investment fund starting at age and continuing until age 40.
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Please help me ima give brainliest
Answer:
Step-by-step explanation:
The answer is -3 because when you add a positive number with a negitive number you subtract not add
Answer:
its step A
Step-by-step explanation:
it wants you to add instead of subtracting witch is trying to fool you
Yw and have a good day! :)
According to a survey conducted by the Association for Dressings and Sauces, 80% of American adults eat
salad once a week. A nutritionist suspects that this percentage is not accurate. She conducts a survey of
445 American adults and finds that 374 of them eat salad once a week. Use a 0.005 significance level to
test the claim that the proportion of American adults who eat salad once a week is equal to 80%.
Claim: Select an answer which corresponds to [Select an answer
Opposite: Select an answer which corresponds to [Select an answer
The test is: Select an answers
The test statistic is: z-
(to 2 decimals)
The Critical Value is: z-
Based on this we: [Select an answer
Conclusion: There Select an answer appear to be enough evidence to support the claim that the
proportion of American adults who eat salad once a week is equal to 80%.
Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.
How to solveTo test the claim that the proportion of American adults who eat salad once a week is equal to 80%, we will conduct a hypothesis test.
Claim: p = 0.80
Opposite: p ≠ 0.80
The test is a two-tailed z-test.
Sample proportion (p) = 374/445 = 0.8404
Test statistic= (0.8404 - 0.80) / sqrt((0.80 * (1 - 0.80)) / 445)
z = 2.53 (rounded to 2 decimals)
Significance level (α) = 0.005, so the critical values for a two-tailed test are -2.576 and 2.576.
Since the test statistic (2.53) falls within the critical values (-2.576 and 2.576), we fail to reject the null hypothesis.
Conclusion: There does not appear to be enough evidence to reject the claim that the proportion of American adults who eat salad once a week is equal to 80%.
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which graph most likely shows a system of equations with one solution
The given graph shows a system of equations with two solutions
Which graph most likely shows a system of equations with one solutionFrom the question, we have the following parameters that can be used in our computation:
The graph
The solution to the system of equations is the point of intersection between the lines on the graph
Using the above as a guide, we have the following:
Intersection points = (-2, - 4) and (2, 3) (approximately)
This means that the solution to the system of equations are approximately (-2, - 4) and (2, 3)
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Find the difference between the fastest girls time and the slowest girl time. Barbra ran 3 3/10, Donna ran 2 4/5 , Cindy ran 4 3/5 and Nicole ran 2 1/10
Answer:4/5 minute
Step-by-step explanation:Fastest girl time = 21/10 Slowest girl time = 34/10 difference = (34-21)/10 = 13/10 (3) Total time = 33/10 + 28/10 + 34/10 + 21/10 = 116/10 Previous record = 12 2/5 = 62/5 = 124/10 As the time taken by girls (116/10) is lower than the previous record (124/10) Therefore these girls are faster by (124-116)/10 = 8/10 minutes = 4/5 minutes
What is the approximate P-value for the following values of X^2 and df? (You may need to use a table. Round your answers to three decimal places.)
(a) X2 = 6.62, df = 3
(b) X2 = 17.44, df = 10
(c) X2 = 28.94, df = 17
To find the approximate P-value for a given X² value and degrees of freedom (df),
we need to use a chi-square distribution table or calculator. Here are the approximate P-values for the given values of X² and df, rounded to three decimal places:
(a) X² = 6.62, df = 3
The P-value is 0.084.
(b) X² = 17.44, df = 10
The P-value is 0.076.
(c) X² = 28.94, df = 1
The P-value is < 0.001 (less than 0.001).
Note that the "<" symbol indicates that the P-value is very small and cannot be accurately calculated using the table.
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What is the equation of the line graphed below
Answer:
The correct equation is A. y = (2/3)x - 2
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
The graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.
What is the graphical solution to a systems of equationsThe graphical solution to a system of equations is a method of finding the point of intersection between the graphs of the equations. We plot each equation as a line on the same coordinate plane, and then find the point where the lines intersect.
If we have two equations in two variables, the solution to the system is the point where the two lines intersect. Also if there are three equations in three variables, the solution is the point where the three planes intersect.
In conclusion, the graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.
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i need help ASAP! 10 pts.
The new quantity of firewood that is supplied at the price, would be A. 400 cords.
How to find quantity ?Use the formula for the slope of the supply curve to find the new quantity:
slope = ( Q2 - Q1 ) / ( P2 - P1 )
0.75 = ( Q2 - 300 ) / ( 348 - 255 )
0.75 = ( Q2 - 300 ) / 93
0.75 x 93 = Q2 - 300
69.75 = Q2 - 300
Q2 = 69.75 + 300
Q2 = 369. 75
Given that there are no options for 370 cords, we will pick the closest alternative of 400 cords.
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A triangle has an angle measures of (x+3)º,(5x-8)º, and (2x+1)º
What is the measure of the smallest angle of the triangle in degrees?
The measure of the smallest angle is 26 degree.
We have,
Triangle's angle measures of (x+3)º,(5x-8)º, and (2x+1)º
Using Angle Sum Property
(x+ 3) + (5x - 8) + (2x + 1)= 180
8x - 4 = 180
8x = 184
x = 184/8
x = 23
Thus, the measure of angles are
x+ 3 = 23+ 3 = 26
5x-8 = 5(23) - 8 = 107
2x +1 = 2(23) + 1 = 47
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The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 22i. Which statement must be true about the complex numbers?
The complex numbers have equal imaginary coefficients.
The complex numbers have equal real numbers.
The complex numbers have opposite imaginary coefficients.
The complex numbers have opposite real numbers.
Answer:
D).The complex numbers have opposite real numbers.
Step-by-step explanation:
I just test and kid above got it wrong eng2023
Picture = using the Lagrange multiplier
The maximum value of f is (√2)/2, and the point (x, y) at which f has the maximum value on the constraint curve is (x, y) = (√2, -√2/2).
We have,
We set up the equation as:
L(x, y, λ) = f(x, y) - λg(x, y)
= x + y - λ(x² - 2y² - 4)
Then, we need to find the partial derivatives of L with respect to x, y, and λ, and set them equal to zero:
∂L/∂x = 1 - 2λx = 0
∂L/∂y = 1 + 4λy = 0
∂L/∂λ = x² - 2y² - 4 = 0
Solving the first two equations for x and y.
x = 1/(2λ)
y = -1/(4λ)
Substituting these values into the third equation.
(1/(2λ))² - 2(-1/(4λ))² - 4 = 0
Simplifying this equation.
λ² = 1/8
Taking the positive square root.
λ = 1/√8 = √2/4
Substituting this value of λ into the equations for x and y.
x = √2
y = -√2/2
To confirm that this is a maximum point, we need to check that it is indeed a maximum by checking the second partial derivative of L.
The second partial derivative of L.
∂²L/∂x² = -2λ
∂²L/∂y² = 8λ
∂²L/∂x∂y = 0
Substituting the value of λ into these expressions.
∂²L/∂x² = -√2/2 < 0
∂²L/∂y² = √2 > 0
Since the second partial derivative with respect to x is negative and the second partial derivative with respect to y is positive, this confirms that the point (x, y) = (√2, -√2/2) is a maximum point.
Tthe maximum value of f(x, y) = x + y subject to the constraint g(x, y) = x² - 2y² = 4.
f(√2, -√2/2) = √2 - √2/2 = (√2)/2
Thus,
The maximum value of f is (√2)/2, and the point (x, y) at which f has the maximum value on the constraint curve is (x, y) = (√2, -√2/2).
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Select the correct answer. If and , which description represents the graph of function g? A. a horizontal transformation of function f 4 units right B. a vertical transformation of function f 4 units up C. a horizontal transformation of function f 4 units left D. a vertical transformation of function f 4 units down
10.8.8 Check Your Understanding
Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to
park her car. Each night, the hotel charged d dollars and $17.20 for parking. Which equation represents the total
amount, in dollars, Allison paid for the three nights?
A) d+3(17.20) = 782.07
(B) 3d+17.20 = 782.07
C) 3(d-17.20) = 782.07
D) 3(d+17.20) = 782.07
We can see that the correct equation that can depict the problem is 3(d+17.20) = 782.07. Option D
Which equation shows the total charge?We have to look at the problem that we have here. In the case of the question that we have been asked, we can see that for the problem that has been given here, it is clear that; Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to park her car.
If it is known that Each night, the hotel charged d dollars and $17.20 for parking. We can say that let the amount that is charged for the lodging be d and we have the equation as; 3(d+17.20) = 782.07.
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evaluate abc if a = - 2/5 ,b = 20/32 ,and c = - 4/10
a=2/5 uts the answer
because it's the answer you add and it start with abcd
Solve the following linear programming problem.
z = 5x + 4y
2x + 4y ≤8
5x + y ≤8
x ≥ 0, y ²0
Maximize:
subject to:
The maximum value of the objective function z = 5x + 4y is 12
Solving the linear programmingFrom the question, we have the following parameters that can be used in our computation:
z = 5x + 4y
2x + 4y ≤8
5x + y ≤8
x ≥ 0, y ²0
This means that the objective function is
Max z = 5x + 4y
And the constraints are
2x + 4y ≤8
5x + y ≤8
x, y ≥ 0
When solved graphically, we have
(x, y) = (4/3, 4/3)
Substitute (x, y) = (4/3, 4/3) in the objective function
So, we have
z = 5 * 4/3 + 4 * 4/3
Evaluate
z = 12
Hence, the maximum value of the objective function is 12
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Select the combination of transformations that result in the image WXYZ from the pre-image
QRST.
The combination of transformation that results in the image WXYZ from the pre-image QRST are:
Translation and Rotation 90° counterclockwiseWhat is rotation in geometry?In mathematics, rotation is a notion that originated in geometry. Any rotation is a movement of a specific space that retains at least one point. It can, for example, explain the motion of a rigid body around a fixed point.
A translation is a geometric transformation in Euclidean geometry that moves every point in a figure, shape, or space by the same distance in the same direction. A translation may alternatively be understood as the addition of a constant vector to each point or as altering the coordinate system's origin.
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A 2-gallon container of laundry detergent costs $27.76. What is the price per quart?
The price of the cost per quart of laundry detergent is A = $ 3.47
Given data ,
Let the unit cost rate be A
Now , There are 4 quarts in a gallon, so a 2-gallon container contains 8 quarts.
To find the price per quart, we can divide the total cost by the number of quarts:
Price per quart = Total cost / Number of quarts
Price per quart = $27.76 / 8 = $3.47
Hence , the price per quart of laundry detergent is $ 3.47
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911 916 8 inches 07/1/2 07/23 7² inches XX16 What is the median value of this data set? inches O 7 inches Length of Hyacinth Bulbs X X + + 7/337 8 X X Length (in inches) 9 9 2/3 X O 10
The required median of the given data set is 7 2/3. Option B is correct.
As the data set was given in the form of the number line, it became easy to calculate the mean,
From the observation the numbers in the data set can be estimated by counting the number of 'x', which is n =12,
The median is given as,
median = "n/2"th term + "n/2+1" th term / 2
median = 6th term + 7th term / 2
From the data set, proceed with counting x from the left until we reach to the 6th and 7th x where we found the value of 6th and 7th x are the same as 7 2/3, now put this value in the above expression.
Median = [7 2/3 + 7 2/3] /2
Median = 7 2/3
Thus, the required median of the given data set is 7 2/3. Option B is correct.
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Given the regular polygon, what is the measure of each numbered angle?
A. m∆ 1 = 12°; m ∆ 2 = 72°
B. m ∆ 1 = 12°; m ∆ 2 = 144°
C. m ∆ 1 = 36°; m ∆ 2 = 72°
D. m ∆ 1 = 36°; m ∆ 2 = 144°
Step-by-step explanation:
n = 10
m∠1 = 360°/ n
= 360°/10
= 36°
[tex] 2 × m∠2 = \frac{(n - 2)180}{n} \\ = \frac{(10 - 2)180}{10} \\ = \frac{8 \times 180}{10} \\ = 8 \times 18 \\ 2 × m∠2 = 144° \\ m∠2 = 72° [/tex]
I would correct my answer
#CMIIWAnswer:
C. m∠1 = 36°; m∠2 = 72°-----------------------
Given is a regular decagon.
It has 10 congruent sides and each angle opposite to sides is congruent to ∠1.
To find its measure divide 360° by the number of sides (angles):
m∠1 = 360°/10 = 36°Angle 1 is formed by two diagonals. Since all diagonals are of same length, the triangle formed by the diagonals and a side is isosceles.
It means there are two of ∠2 and one ∠1 in each triangle.
We know the measure of ∠1, now use the triangle sum property to find the measure of ∠2:
2 × m∠2 + m∠1 = 180°2 × m∠2 + 36° = 180°2 × m∠2 = 144°m∠2 = 72°The matching choice is C
Which equation has the same solution as x2−16x−15=−5?
Answer: x^2 - 16x - 10 = 0.
Step-by-step explanation:
To find an equation that has the same solution as x^2 - 16x - 15 = -5, we can set the right-hand side of the equation to zero and solve for x.
x^2 - 16x - 15 + 5 = 0
x^2 - 16x - 10 = 0
So, the equation that has the same solution as x^2 - 16x - 15 = -5 is x^2 - 16x - 10 = 0.
Frankie solved the following inequality -2x-7>17 and stated that -5, 1, and 2 are in the solution set. what possible mistakes did frankie make? justify your response by explaining the steps you took in solving the inequality.
Tuesday Math Problem
Two identical trains, each with 31 cars, are traveling in opposite directions. When
car Number 19 of one train is opposite car Number 19 of the other, which car is
opposite car Number 12?
門口口
—————
3
Show your work.
3 4 5 ..
The car that is opposite car Number 12 is given as follows:
Car of Number 26.
How to obtain the car pairs?The trains are travelling in opposite directions, hence, if car Number 19 of one train is opposite car Number 19 of the other, we have that the pattern is given as follows:
Car 18 is opposite to Car 20.Car 17 is opposite to Car 21.Car 16 is opposite to Car 22.An so on...
The difference between 19 and 12 is given as follows:
19 - 12 = 7.
Hence the number of the car opposite the car 12 is given as follows:
19 + 7 = 26.
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Whats the equation for this table and fill out the table please
The equation for this table is y = x + 6.
The graph and table is shown in the image below.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (9 - 7)/(3 - 1)
Slope (m) = 2/2
Slope (m) = 1
At data point (1, 7) and a slope of 1, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 7 = 1(x - 1)
y = x + 6
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equation will solve the following word problem? Gina's income is $28,000, which is $2,000 less than twice what Frank makes. What is Frank's income?
Answer:
2x - 2,000 = 28,000
Step-by-step explanation:
1. Define Variables
Frank's Income = x
2. Write Equation
2x - 2,000 = 28,000
3. Solve (if necessary)
2x - 2,000 = 28,000
2x = 30,000
x = 15,000
