Answer: To solve the equation 2x^(1/5) + 7 = 15, we'll go through the steps to isolate x.
Subtract 7 from both sides of the equation:
2x^(1/5) + 7 - 7 = 15 - 72x^(1/5) = 8Divide both sides by 2:
(2x^(1/5))/2 = 8/2x^(1/5) = 4Raise both sides to the power of 5 to remove the fractional exponent:
(x^(1/5))^5 = 4^5x = 1024Therefore, the solution to the equation 2x^(1/5) + 7 = 15 is x = 1024.
Please help me with this homework
Answer:
-2 < |2|
Step-by-step explanation:
-2 is less than the absolute value of 2 because the absolute value would be positive.
Positive > Negative
Hope this helps!
When graphing the solution of an inequality on a number line, you will see either an open or closed circle and a part of the line shaded.
Part A:
Describe what an open circle represents and when you would use it.
Part B:
Describe what a closed circle represents and when you would use it.
Part C:
Describe what the shading on the number line represents.
Part A: An open circle on a number line represents an excluded value, indicating that the endpoint is not included in the solution set of the inequality. It is used when the inequality includes the symbols < (less than) or > (greater than), which denote strict inequality.
Part B: A closed circle on a number line represents an included value, indicating that the endpoint is part of the solution set of the inequality. It is used when the inequality includes the symbols ≤ (less than or equal to) or ≥ (greater than or equal to), which denote inclusive inequality.
Part C: The shading on the number line represents the range of values that satisfy the given inequality. It indicates which values make the inequality true. Typically, the shading is done to the right or left of the circle(s) depending on whether the inequality is greater than or less than.
Part A:
For example, if we have the inequality x > 2, we would represent it with an open circle at 2 on the number line. This means that 2 itself is not a valid solution, but any value greater than 2 is included.
Part B:
For example, if we have the inequality x ≥ -3, we would represent it with a closed circle at -3 on the number line. This means that -3 itself is a valid solution, as well as any value greater than or equal to -3.
Part C:
For example, if we have the inequality x > 2, we would shade the portion of the number line to the right of the open circle at 2. The shaded region represents all the values greater than 2 that satisfy the inequality. The shading visually illustrates the solution set and helps identify the range of valid values for the variable in the given inequality.
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Find the curcumince of the circle. use 3.14 or 22/7.
Answer:
the circumference of this circle is approximately 25.12 cm with π as 3.14.
Step-by-step explanation:
circumference of a circle is technically a perimeter of a circle.
we find the circumference of a circle by using the following formula :
c = 2πr or c = πd
r represents the radius d represents the diameter
since 4 yds here is a radius, we use the left formula i placed above. then, we substitute the numbers in. pi represents 3.14 as said in your question. even if you use 22/7, you will still get around the same result.
c = 2πr
c = 2(3.14)4
c = 6.28(4)
c = 25.12 yds
therefore, the circumference of this circle is approximately 25.12 yds.
An electronic bank teller registered $775 after it had counted 120 notes and $975 after it had counted 160 notes. Find a formula for the sum registered, ($C) in terms of the number of notes (n) counted.
Using a linear equation, the formula for the sum registered is:
\(C(n) = 5n + 175\)
----------------------------
A linear equation has the following format:
\(y = mx + b\)
In which:
m is the slope.b is the y-intercept.In this problem:
There are two points: (120, 775) and (160, 975).With two points, the slope is given by change in the output divided by change in the input, thus:\(m = \frac{975 - 775}{160 - 120} = \frac{200}{40} = 5\)
Then
\(C(n) = 5n + b\)
(120,775) means that when \(n = 120, C(n) = 775\). We use this to find b.
\(C(n) = 5n + b\)
\(775 = 5(120) + b\)
\(b = 775 - 600\)
\(b = 175\)
Thus
\(C(n) = 5n + 175\)
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Carlisle Transport had $4,520 cash at the beginning of the period. During the period, the firm collected $1,654 in receivables, paid $1,961 to supplier, had credit sales of $6,916, and incurred cash expenses of $500. What was the cash balance at the end of the period?
To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.
Starting cash balance: $4,520
Cash inflows: $1,654 (receivables collected)
Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)
Total cash inflows: $1,654
Total cash outflows: $1,961 + $500 = $2,461
To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:
Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows
Cash balance at the end of the period = $4,520 + $1,654 - $2,461
Cash balance at the end of the period = $4,520 - $807
Cash balance at the end of the period = $3,713
Therefore, the cash balance at the end of the period is $3,713.
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Ralph is the bank $86.25 he deposits $80 in his account what is the current balance of Ralph’s account
Answer:
6.25
Step-by-step explanation:
Answer: $6.25
Step-by-step explanation: if he has $86.25 subtract $80 and you have $6.25
help
Choose all of the pairs that are included in the set of solutions for the equation y=12x+32when plotted in the coordinate plane.
Responses
A (3, 3)(3, 3)
B (2, 3)(2, 3)
C (−4, −1)(−4, −1)
D (−5, −1)(−5, −1)
E (7, 5)
The pairs that are included in the set of solutions for y = 1/2x + 3/2 are: (3, 3), (−5, −1), and (7, 5).
How to Find the Solution of an Equation?If a point is located on a line of an equation, then the ordered pair of that point is defined as belonging to the set of solutions for the equation.
Given the equation, y = 1/2x + 3/2, the graph is plotted on a coordinate plane as shown below. It has a slope of 1/2, and a y-intercept of 3/2.
The graph shows that the following pair of the points are located on the line of y = 1/2x + 3/2:
(3, 3)(−5, −1)(7, 5)Therefore, it is concluded that the pairs that are included as the solution to y = 1/2x + 3/2 are: (3, 3), (−5, −1), and (7, 5).
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I’m not sure what to fill in
Answer:
(0, 5)
(1, 6)
(4, 7)
(9, 8)
Step-by-step explanation:
y = √x + 5
y = √0 + 5
= 5
y = √1 + 5
= 6
y = √4 + 5
= 2 + 5
= 7
y = √9 + 5
= 3 + 5
= 8
an arithmetic sequence with first term 1 and common difference not equal to 0 has second, tenth, and thirty-fourth terms that form a geometric sequence. what is the thirty-fourth term of the arithmetic sequence?
The thirty-fourth term of the arithmetic sequence is the thirty-second term plus the common difference, which is not equal to 0.
The thirty-fourth term of the arithmetic sequence is calculated by adding the common difference to the thirty-second term. The common difference is the amount by which each successive term increases or decreases. As the common difference is not equal to 0, the thirty-fourth term is not the same as the tenth or second terms. The second, tenth, and thirty-fourth terms form a geometric sequence, which means that the ratio between any two successive terms is always the same. This ratio is determined by the common difference of the arithmetic sequence, and the thirty-fourth term can be calculated by adding the common difference to the thirty-second term.
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The weather forecaster says that there is an 80% chance of rain today. Which statement describes the likelihood that it will rain today?
What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x−y=1?
local county officials have heard reports that a service station is allowing cars 20 years and older with known violations to pass their annual safety inspection. from administrative data, they know 30% of all cars 20 years and older do not pass their annual safety inspection. to test their theory about the service station, they request records from the most recent 150 inspections of cars of this type, finding 30 of the 150 had been rejected. let p be the true rate of cars 20 years and older that do not pass their annual safety inspection from this service station. what are the implied null and alternative hypotheses local county officials are testing?
The null hypothesis implied that cars 20 years or older do not pass safety inspection ≤ 30%.
The alternative hypothesis implied that cars 20 years or older do not pass safety inspection > 30%
The local county officials are testing a hypothesis about the proportion of cars 20 years.
And older that do not pass their annual safety inspection at the service station.
The null hypothesis and alternative hypothesis can be stated as follows,
Null hypothesis,
The true proportion of cars 20 years and older that do not pass their annual safety inspection at the service station ≤ 30%.
Alternative hypothesis,
The true proportion of cars 20 years and older that do not pass their annual safety inspection at the service station > 30%.
The null hypothesis assumes that the service station is not allowing cars with known violations to pass the safety inspection.
And that the rejection rate of 30% is consistent .
With the true rate of cars 20 years and older that do not pass their annual safety inspection at the service station.
The alternative hypothesis suggests that the service station is allowing cars with known violations to pass the safety inspection.
And that the rejection rate is lower than the true rate of cars 20 years .
And older that do not pass their annual safety inspection at the service station.
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Evaluate (Solve) Each Expression when c=4 and d=2
c² + d²
Answer:
20
Step-by-step explanation:
Answer:
4x4+2x2
=16+4
=20
find the square root of the two numbers and add them
Mrs. Baker has 20 minutes to do her laundry before her children come back from school
Answer: 20 minutes
Step-by-step explanation: 20 minutes is the only mathematical piece of information given in the text.
In 5.2, which digit is in the tenths place?
Answer:
2
Step-by-step explanation:
The number right after the decimal is the tenths place.
More in-depth example:
1.234
1 is your integer(regular number)
2 is your tenths
3 is hundreths
4 is thousandths
If the passengers are to feel 8g at the bottom of the valley, what must be the radius R of the arc of the circle that fits the bottom of the valley
To determine the radius R of the arc of the circle that fits the bottom of the valley, we need to consider the acceleration experienced by the passengers.
When a vehicle moves along a curved path, the passengers experience a centripetal acceleration towards the center of the circle. In this case, the passengers need to experience 8g (eight times the acceleration due to gravity) at the bottom of the valley.
The centripetal acceleration is given by the formula: a = v^2 / R, where "a" is the acceleration, "v" is the velocity, and "R" is the radius of the circle.
To find the velocity, we need to consider the gravitational force and the normal force acting on the passengers at the bottom of the valley. The net force acting on the passengers will be the sum of these forces.
At the bottom of the valley, the normal force is equal to the weight of the passengers (mg) plus the force due to the centripetal acceleration (mv^2 / R).
Since the passengers are to feel 8g, the normal force is equal to 8 times their weight (8mg).
Setting up an equation for the net force:
8mg = mg + mv^2 / R
Canceling out the mass "m" on both sides of the equation, we have:
8g = g + v^2 / R
To solve for v^2 / R, we subtract g from both sides:
7g = v^2 / R
Simplifying, we can multiply both sides by R:
7gR = v^2
Now, we can solve for the velocity "v" at the bottom of the valley. Using the equation v = √(7gR), we can find the velocity.
To determine the radius R of the arc of the circle that fits the bottom of the valley, we need to know the value of acceleration due to gravity (g) and the desired centripetal acceleration (8g). Once these values are known, we can use the equation v = √(7gR) to find the velocity at the bottom of the valley. From there, we can calculate the radius R using the equation 7gR = v^2.
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enchmark 1 - Item 204918 3 Which is the sum of and 10 2 4 30 3
Problem
Solution
We want to find the sum of 3/10 and 1/3 so we can do the following operation:
(3*3 + 1*10)/ (10*3)
And if we solve we got:
(9 +10)/ 30 = 19/30
And our final solution would be 19/30
Help ASAP! 100 Points!! Look AT PHOTO!
Answer:
1
2,3,4
Step-by-step explanation: to
when the number of football is 1 is less expensive than basketball
Solve the equation cos x - xe =0 in the interval [0,1]. Use the results of the bisection method in the 10th iteration. O 0.617 O 0.517 O 0.527 O none of the choices
After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517. Option B
To solve the equation cos(x) - x * e = 0 in the interval [0, 1] using the bisection method, we start by checking the function values at the endpoints of the interval.
For x = 0:
cos(0) - 0 * e = 1 - 0 = 1
For x = 1:
cos(1) - 1 * e ≈ 0.54 - 2.72 ≈ -2.18
Since the function values at the endpoints have opposite signs, we can apply the bisection method to find the root within the interval.
The bisection method involves repeatedly dividing the interval in half and checking the function value at the midpoint until a sufficiently accurate approximation is obtained. In this case, we will perform 10 iterations.
After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517.
Therefore, the correct answer is OB) 0.517.
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how do you find the lengths for quadrilateral
Answer/Step-by-step explanation
(Credit to someone on YT, not me)
Define the term functions limits and continuity as used in
business calculus and use an example
In business calculus, the term "functions" refers to mathematical relationships that associate inputs (typically denoted as x) with corresponding outputs (typically denoted as y). Functions can represent various aspects of business operations, such as revenue, cost, profit, demand, and supply.
The concept of "limits" in calculus deals with the behavior of a function as the input approaches a particular value. It determines the value that the function approaches or tends to as the input gets arbitrarily close to a specified value. Limits are essential for analyzing the behavior of functions near certain points, understanding rates of change, and evaluating derivatives and integrals.
"Continuity" of a function refers to its smooth and unbroken nature, without any abrupt jumps, holes, or vertical asymptotes. A function is continuous if its graph can be drawn without lifting the pen from the paper. Continuity ensures that small changes in the input correspond to small changes in the output, which is crucial for reliable analysis and prediction.
For example, consider the function f(x) = 2x + 1. This linear function represents a business scenario where x represents the number of units sold, and f(x) represents the total revenue generated. The limit of f(x) as x approaches 2 is 5, indicating that as the number of units sold approaches 2, the total revenue approaches $5. Since f(x) = 2x + 1 is a linear function, it is continuous across its entire domain.
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THEN c. If a || band line c is parallel to line a, then line b and c are?
Answer: parallel
Step-by-step explanation:
For two lines to be parallel they must have the same slope.
Because a is parallel to b they must have the same slope. Let's call that slope x.
Because c is parallel to b they must have the same slope. Because the slope of b is x, the slope of c must be x.
Because the slope of both a and c are x, they must be parallel.
1 Jason writes 42(x - 35) + 18 on the board. What did Jason write?
A)
An example of the associative property
B)
An inequality
C)
An expression
D)
An equation
Answer:
C. an expression
Step-by-step explanation:
1, −3 − 4i; degree 3
If -3 - 4i is one of its zeros, -3 +4i is the another one
(x + 3 + 4i)*(x + 3 - 4i) = x^2 + 6x + 25 is the polynomial that contains these zeros.
Therefore, f(x) = (x-1)*(x^2+6x+25)
\(\{ \frac { ( \sqrt { 3 } ) \times 3 ^ { - 2 } } { ( \sqrt { 5 } ) ^ { 2 } } \} ^ { \frac { 1 } { 2 } }\)solve this equation
Answer:
Step-by-step explanation:
Exponent law:
\(\sf \bf a^m * a^n = a^{m+n}\\\\ (a^m)^n = a^{m*n}\)
\(\sf a^{-m}=\dfrac{1}{a^m}\)
First convert radical form to exponent form and then apply exponent law.
\(\sf \sqrt{3}=3^{\frac{1}{2}}\\\\\sqrt{5}=5^{\frac{1}{2}}\)
\(\sf \left(\dfrac{(\sqrt{3}*3^{-2}}{(\sqrt{5})^2}\right)^{\frac{1}{2}}= \left(\dfrac{3^{\frac{1}{2}}*3^{-2}}{(5^{\frac{1}{2}})^2} \right )^{\frac{1}{2}}\)
\(= \left(\dfrac{3^{\frac{1}{2}-2}}{5^{\frac{1}{2}*2}}\right)^{\frac{1}{2}}\\\\=\left(\dfrac{3^{\frac{1-4}{2}}}{5}\right)^{\frac{1}{2}}\\\\=\left(\dfrac{3^{\frac{-3}{2}}}{5}\right)^{\frac{1}{2}}\\\\=\dfrac{3^{\frac{-3}{2}*{\frac{1}{2}}}}{5^{\frac{1}{2}}}\\\\ =\dfrac{3^{{\frac{-3}{4}}}}{5^{\frac{1}{2}}}\)
You deposit $2900 in a savings account that earns 2%
annual interest compounded quarterly. What is the
balance of the account after 25 years?
y=P (1+5)**
nt
Answer: SORRY ILL GIVE YOU BRAINLY I AM
Step-by-step explanation:
Which is closest to 8?
√9
√17
√65
√72
The GCF of the numbers in the expression (32 + 16) is
Answer:
GCF= 16
Step-by-step explanation:
factors of 32= 32, 16, 8, 4, 2, 1
factors of 16= 16, 8, 4, 2, 1
16 is the largest factor both numbers have in common
Answer: 16
Step-by-step explanation:
There are 5 question if you guys help me you’ll get brainlest:) 1/5
Answer:
D
Step-by-step explanation:
11/3 = 3.66
so it must be D
Answer:
c 3 2/3
Step-by-step explanation: