Answer:
1. 10/12 or 5/6
2. 1/8
3. 5/40 or 3/8
4. 6/7
5. 16
Step-by-step explanation:
Answer:
1.) 10/12 or 5/6
2.) 1/8
3.) 5/40 or 3/8
4.) 6/7
5.) 16
Step-by-step explanation:
Malcolm is driving 1,323 miles from witchita to charleston for a family reunion. He drives 443 miles for the first day and 409 miles the second day. Round each distance to the nearest ten and estimate about how many miles Malcom has left to drive
Answer:
470
Step-by-step explanation:
1323 rounds to 1320
443 rounds to 440
409 rounds to 410
1320 - (440 + 410) =
1320 - 850 =
470 <=== malcolm has about 470 miles left to go
Daniel is working two summer jobs, making $8 per hour babysitting and making $15 per hour lifeguarding. In a given week, he can work a maximum of 18 total hours and must earn no less than $200. If Daniel worked 3 hours babysitting, determine the minimum number of whole hours lifeguarding that he must work to meet his requirements
The minimum number of hours life guarding that Daniel must work to meet his requirements = 12 hours
To the nearest whole number approximately:
If the digit following the decimal is less than 5, only the number preceding the decimal should remain unchanged.
Add one to the number before the decimal and eliminate the decimal part if the digit following the decimal is five or greater.
Given the information,
Babysitting pays Daniel $8 per hour, and life guarding pays him $15 per hour.
Daniel can only work a total of 18 hours per week and must make at least $200.
Daniel has been babysitting for three hours.
Daniel thus makes 3 x 8 = 24 dollars.
He has earned $200 - 24 = 176 dollars from the original $200.
Let's say Daniel was a lifeguard for m hours.
He therefore made m x 15 = 176.
15 × m = 176
m = 11.73
m ≈ 12 hours
So, the minimum number of whole hours = 12
This means, Daniel must work 12 hours lifeguarding to meet his requirements.
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A 5 foot deep swimming pool drains at a rate of 0.25 feet per minute until empty. The height of the water remaining in the pool after x minutes can be found using the function f(x) = 5 – 0.25x. Find the domain for this situation.
Answer:
The domain is [0, 20]
Step-by-step explanation:
With this equation, we can assume that x is minutes. You can't have less than 0 minutes because time isn't negative. You also can't have more than twenty minutes because the pool is empty at 20 and it can't be less than empty.
Find the product of (-7a²b)x(8ab)
Answer:
-56a^3b^2
Step-by-step explanation:
−(7 × 8) a^2abb
-56a^2abb
-56a^2+1b^1+1
-56a^3b^2
I hope that helps
what is the fourth step of the risk assessment process? a. determine probability b. estimate severity c. determine current level of preparedness/mitigation d. identify hazards
The fourth step of the risk assessment process is to determine current level of preparedness/mitigation.
The correct option is C.
What exactly is the risk assessment process?A risk assessment is a procedure for identifying potential dangers and analyzing what might happen if one happens. A business impact analysis (BIA) is a procedure that determines the probable consequences of interrupting time-sensitive or important business processes. There are various potential hazards to be mindful of.
What exactly is the goal of risk assessment?The ultimate goal of risk assessments is to improve workplace safety and health. However, to order to accomplish this, your risk assessment process must identify occupational hazards and eliminate or reduce the risks they represent.
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Find the 91st term of the arithmetic sequence 5,−14,−33,...
Answer:
-54
Step-by-step explanation:
Answer:
Let's simplify
91st(5)−14−33
Step-by-step explanation:
step-by-step
=455st−47.
I hope my answer helped
For a recent paint job, Josh mixed red and white paint to make two different shades of pink. When the job was done, Josh ended up with leftover paint: 5 gallons of dark pink paint (80% red) and 4 gallons of light pink paint (30% red). Josh wants to make a medium pink color (50% red) to paint his daughter's bedroom. He will need 3 gallons to completely cover the walls. How much of each of the leftover paints should Josh mix to achieve his desired color?
? gallons of dark pink paint
? gallons of light pink paint
Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.
To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.
Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.
The total amount of paint needed is 3 gallons, so we have the equation:
x + y = 3
The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:
(80/100)x + (30/100)y = (50/100)(x + y)
Simplifying this equation, we get:
0.8x + 0.3y = 0.5(x + y)
Now, we can solve this system of equations to find the values of x and y.
Let's multiply both sides of the first equation by 0.3 to eliminate decimals:
0.3x + 0.3y = 0.3(3)
0.3x + 0.3y = 0.9
Now we can subtract the second equation from this equation:
(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)
-0.5x = 0.9 - 0.5x - 0.5y
Simplifying further, we have:
-0.5x = 0.9 - 0.5x - 0.5y
Now, rearrange the equation to isolate y:
0.5x - 0.5y = 0.9 - 0.5x
Next, divide through by -0.5:
x - y = -1.8 + x
Canceling out the x terms, we get:
-y = -1.8
Finally, solve for y:
y = 1.8
Substitute this value of y back into the first equation to solve for x:
x + 1.8 = 3
x = 3 - 1.8
x = 1.2
Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.
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Determine the solution to the equation. 8+4x=2x+8+2x A Infinite B One Solution C No Solution
After solving the given equations the answer is an Infinite solution. Hence, option A is correct
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given equation in the question,
8 + 4x = 2x + 8 + 2x
Firstly, let's write the given equation in a simplified manner,
8 + 4x = 8 + 4x
As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.
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Rewrite 4x + 16 using a common factor.
The rewritten expression using a common factor is:
4x + 16 = 4*(x + 16)
How to rewrite the expression using a common factor?Here we want to rewrite the expression:
4x + 16
Ussing a common factor, so let's factorize the terms.
The first one is simple:
4x = 4*x
The second one is also simple, we can write:
16 = 4*4
Then the common factor is 4, and we can rewrite the expression as:
4x + 16 = 4*(x + 16)
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A test is normally distributed with a mean of 70 and a standard deviation of 10. Todd
scores a 55 on the test.
Select the answer from the drop-down menu to correctly complete the statement.
Based on the mean of 70 and his raw score of 55, Todd's z-score must be Choose
Positive
negative
Answer:
negative
Step-by-step explanation:
calculating the z score by subtracting the mean and dividing by the standard deviation
(55-70)/10= -1.5
It's negative
Length of a rectangle is 2.5 cm and it’sarea is 12.5cm2. Ram found that the breadth of the rectangle is 5 cm while Rahim found that the breadth is 10 cm. Who is correct? Justify your answer.
Step-by-step explanation:
ram is true because when 2.5 is multiplied to .5 centimeters then answered becomes 12.5 centimeters square
IF SET A={2,5,6} AND SET B={4,7,8}. THE FOLLOWING SET ARE DISJOINTS FOR.plsss
A.
{4,7,8}
B.
EMPTY SET
C.
{2,5,6,7,4,8}
D.
{2,5,6}
Answer:
C - {2,5,6,7,4,8}
Step-by-step explanation:
It's just because these are the numbers that they don't have in common.
You from irv guessing from your username?
Answer:
Step-by-step explanation:fhh
1) a. Write an equation that expresses the first law of thermodynamics in terms of heat and work.
b. Under what conditions will the quantities q and w be negative numbers?
The first law of thermodynamics is a fundamental principle in physics that states energy cannot be created or destroyed, only converted from one form to another. It can be expressed in terms of heat and work through the equation:
ΔU = q - w
where ΔU represents the change in internal energy of a system, q represents the heat added to the system, and w represents the work done on or by the system.
Now, let's address when the quantities q and w would be negative numbers.
1) When q is negative: This occurs when heat is removed from the system, indicating an energy loss. For example, when a substance is cooled, heat is extracted from it, resulting in a negative value for q.
2) When w is negative: This occurs when work is done on the system, decreasing its energy. For instance, when compressing a gas, work is done on it, leading to a negative value for w.
In both cases, the negative sign indicates a reduction in energy or the transfer of energy from the system to its surroundings.
In summary, the first law of thermodynamics can be expressed as ΔU = q - w, and q and w can be negative numbers when energy is lost from the system through the removal of heat or when work is done on the system.
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In the standard (x,y) coordinate plane, what is the
slope of the line 3x + 8y = 5?
Step-by-step explanation:
Turn the standard form equation into a slope-intercept form equation using algebra.
Slope-intercept form: \(y=mx+b\)
Key:
m = slopeb = y-interceptSubtract each side by 3x:
\(8y=-3x+5\)
Divide each side by 8:
\(y=-\frac{3}{8} x+\frac{5}{8}\)
-3/8 is in the position of m, the slope.
The slope is -3/8.
Find the Area of an equilateral triangle with perimeter 18.
Pls help I’m suck :(
Answer:
fortnite fortnite fortnite
how to find concave up and down with second derivative
The concavity of a function can change at inflection points, where the concavity transitions from concave up to concave down or vice versa. Inflection points occur when the second derivative is equal to zero or undefined.
To determine whether a function is concave up or concave down using the second derivative, you can follow these steps:
Find the second derivative of the function. This involves taking the derivative of the first derivative of the function. The second derivative is often denoted as f''(x) or d²y/dx².
Identify the critical points of the function. These are the points where the first derivative is equal to zero or undefined. You can find the critical points by setting the first derivative equal to zero and solving for x.
Evaluate the second derivative at the critical points. Plug the critical points into the second derivative equation and calculate the resulting values.
Analyze the sign of the second derivative at the critical points. If the second derivative is positive at a critical point, the function is concave up at that point. If the second derivative is negative at a critical point, the function is concave down at that point.
By examining the signs of the second derivative at the critical points, you can determine the concavity of the function in the corresponding intervals.
Remember that this method applies specifically to functions whose second derivative is continuous. In cases where the second derivative is discontinuous or undefined, additional analysis may be needed.
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Find the value of x.
Answer:
x = 5/3
Step-by-step explanation:
4x= x + 5
3x=5
x = 5/3
(-10,-15) is the image of N after the dilation with a scale factor of 5/4 centered at the orgin. What are the coordinates of N
The coordinates of N can be estimated as: (-8, -12)
What is the scale factor ?Scale factor is a mathematical term, which we use to scale 2-dimensional and 3-dimensional shapes. Scale factor is a measure of similar figures. Those figures who look the same but are in different sizes.
If point N is dilated with a scale factor of 5/4 centered at the origin, the coordinates of the image point, let's call it N', can be found by multiplying the coordinates of N by the scale factor:
N' = (5/4)N
We also know that the image point N' is located at (-10, -15), so we can substitute these values into the equation:
(-10, -15) = (5/4)N
Solving for N, we can multiply both sides by the reciprocal of 5/4, which is 4/5:
N = (4/5)(-10, -15)
N = (-8, -12)
Therefore, the coordinates of point N are (-8, -12).
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Need assistance……………………….
Answer:
see attached.
Step-by-step explanation:
Help plz brainliest for first answer and best answer
According to the graph, how many chocolates are in 3 boxes?
A. 10
B. 12
C. 15
D. 16
Answer:
C.15
Step-by-step explanation:
one box has 5 chocolates so 3*5=15
(5,-2) (6,4) and (7,-2) are the vertices of an isosceles triangle.
O True
O False
Answer:
True
Step-by-step explanation:
I cant show you a picture but if you go to desmos you can put in the coordinates and see where they are.
Find the standard matrix for linear transformation T? a) T(x, y) = (3x + 2y, 2y - x) b) T(x, y) = (4x + y, 0, 2x-3y)
a) T(x, y) = (3x + 2y, 2y - x): The standard matrix for T is [[3, 2], [-1, 2]].
b) T(x, y) = (4x + y, 0, 2x - 3y): The standard matrix for T is [[4, 1], [0, 0], [2, -3]].
To find the standard matrix for a linear transformation T, we need to determine the images of the standard basis vectors, which are (1, 0) and (0, 1), under the transformation T.
a) For T(x, y) = (3x + 2y, 2y - x), we compute T(1, 0) = (3, -1) and T(0, 1) = (2, 2). These images become the columns of the standard matrix: [[3, 2], [-1, 2]].
b) For T(x, y) = (4x + y, 0, 2x - 3y), we compute T(1, 0) = (4, 0, 2) and T(0, 1) = (1, 0, -3). These images become the columns of the standard matrix: [[4, 1], [0, 0], [2, -3]].
The standard matrix represents the transformation T in a matrix form, where the columns correspond to the images of the standard basis vectors.
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22. Pamela is making the legs for a three-legged stool from two pieces of scrap wood. The lengths of the two pieces of wood are 36 inches and 21 inches. Each leg is 16 inches long. a. Pamela cuts one leg from each piece of wood. Write and evaluate two expressions to show how much of each piece of wood is left over. b. Will Pamela have enough wood for a third leg? Explain.
Pamela will have enough wood for making the third leg as she has a 20 inch piece still left with her.
We are given that:
Pamela wants to make a three legged stool.
She has two pieces of wood: 36 inches and 21 inches.
Length of each leg = 16 inches.
Now, she cut 1 leg from each piece of the wood.
Length of wood pieces left will be given by the expression:
36 inches - 16 inches = 20 inches
and
21 inches - 16 inches = 5 inches.
Yes, Pamela will have enough wood for making the third leg as she has a 20 inch piece still left with her.
Therefore, Pamela will have enough wood for making the third leg as she has a 20 inch piece still left with her.
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How do you calculate present value?
Present value is the current worth of a future sum of money or stream of cash flows given a specified rate of return.
The present value calculation can be expressed with the following formula:
Present Value = Future Value / (1 + r)^t
Where,
Future Value = the amount of money to be received in the future
r = the rate of return (discount rate)
t = the number of periods in the future
For example, if you are promised $5,000 in five years from now, and the rate of return is 10%, the present value of this would be calculated as follows:
Present Value = 5,000 / (1 + 0.10)^5
Present Value = 5,000 / 1.6105
Present Value = $3,115.94
Present value is the current worth of a future sum of money or stream of cash flows given a specified rate of return.
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in conditional statements, the part of the statement following ‘if’ is called ___antecedent or consequent
The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.
The if statement evaluates the test expression inside the parenthesis ().
If the test expression is evaluated to true, statements inside the body of if are executed.
If the test expression is evaluated to false, statements inside the body of if are not executed.
The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.
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In conditional statements, the part of the statement following 'if' is called the antecedent.
The antecedent is the condition that needs to be true for the consequent to occur.
The consequent is the part of the statement that follows 'then.'
An antecedent is a noun or pronoun that denotes a specific being, place, object, or clause.
It's also referred to as a referent. Without an antecedent, a sentence may be insufficient or nonsensical since it is
required to establish what or to whom a pronoun in a sentence is referring.
In summary, a conditional statement is structured as "if (antecedent) then (consequent)."
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A $1,000 bond has seven years to maturity and has a coupon rate of 10 percent. Coupon payments are made annually. The bond is currently selling in the market for $1,104. What is the duration of this bond? 6.5 years O 6.3 years 5.4 years O 5.7 years
The duration of this bond is 6.5 years.
Duration is a measure of a bond's sensitivity to changes in interest rates. To calculate the duration of this bond, we need to consider the present value of the bond's cash flows and the timing of those cash flows. In this case, the bond has a face value of $1,000, a coupon rate of 10 percent, and annual coupon payments.
First, we calculate the present value of the bond's cash flows. Since the bond has a coupon rate of 10 percent, the annual coupon payment is $100 ($1,000 x 10%). The bond has a remaining maturity of seven years, so there will be seven coupon payments in total. We can calculate the present value of these cash flows using the formula for the present value of an ordinary annuity:
Present Value = Coupon Payment x [1 - (1 + interest rate)^(-number of periods)] / interest rate
Assuming an interest rate of r, we have:
Present Value = $100 x [1 - (1 + r)^(-7)] / r
Next, we need to find the yield to maturity (YTM) of the bond. YTM is the rate of return an investor would earn by holding the bond until maturity. Since the bond is currently selling for $1,104 in the market, we can set up the following equation:
$1,104 = Present Value + (Coupon Payment / (1 + r)^7)
By solving this equation for r, we can find the yield to maturity. Using a financial calculator or spreadsheet software, we can determine that the yield to maturity is approximately 7 percent.
Now, we can calculate the duration of the bond. The duration formula is the weighted average time until the bond's cash flows are received, where the weights are the present values of the cash flows. In this case, we have seven annual cash flows, so the duration can be calculated as follows:
Duration = [(1 x Present Value of Year 1) + (2 x Present Value of Year 2) + ... + (n x Present Value of Year n)] / Present Value of the Bond
Plugging in the values, we get:
Duration = [(1 x Present Value of Year 1) + (2 x Present Value of Year 2) + ... + (7 x Present Value of Year 7)] / Present Value of the Bond
Calculating the present values for each year using an interest rate of 7 percent, we find:
Present Value of Year 1 = $100 / (1 + 0.07)^1
Present Value of Year 2 = $100 / (1 + 0.07)^2
...
Present Value of Year 7 = $100 / (1 + 0.07)^7
After calculating the present values for each year and plugging them into the formula, we find that the duration of the bond is approximately 6.5 years.
Therefore, the correct answer is 6.5 years.
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what other information is needed to prove the two triangles congruent by sas?
Answer:
We know that one pair of sides and one pair of angles are congruent from the diagram. In order to know that the triangles are congruent by SAS we need to know that the pair of sides on the other side of the angle are congruent.
Step-by-step explanation:
HOPE IT HELPS :)
Find the relative extrema of the function h(x) = 2 tanh x − x. Use a graphing utility to confirm your result.
The relative maximum of the function h(x) = 2 tanh(x) - x occurs at x = ln(√2).
To find the relative extrema of the function h(x) = 2 tanh(x) - x, we need to find the critical points of the function and then determine whether they correspond to relative maxima or minima.
The critical points occur where the derivative of the function is equal to zero or is undefined. Let's find the derivative of h(x) with respect to x:
h'(x) = 2 sech²(x) - 1
To find the critical points, we need to solve the equation h'(x) = 0:
2 sech²(x) - 1 = 0
sech²(x) = 1/2
sech(x) = ±√(1/2)
Taking the reciprocal of both sides, we get:
cosh(x) = ±√2
Since cosh(x) is always positive, we can ignore the negative sign. Taking the natural logarithm of both sides:
ln(cosh(x)) = ln(√2)
x = ln(√2)
Therefore, the critical point is x = ln(√2). Now, let's determine whether this critical point corresponds to a relative maximum or minimum.
To do that, we need to analyze the behavior of the derivative on either side of the critical point. Let's evaluate h'(x) at values slightly smaller and larger than x = ln(√2).
For x < ln(√2), h'(x) is positive because sech^2(x) is always positive, and 2 sech^2(x) - 1 is greater than zero.
For x > ln(√2), h'(x) is negative because sech^2(x) is always positive, and 2 sech^2(x) - 1 is less than zero.
Therefore, we can conclude that x = ln(√2) corresponds to a relative maximum.
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"A television ad stated that X car brand is ""considered to be the
best"" and says that ""now is the best time to replace your car"".
What kind of data source is this?
a) Sample
b) available
c) Experimental
The data source in this case is an advertisement, which is a form of secondary data.
Secondary data is information collected by someone other than the user. In this case, the television ad is promoting a specific car brand as being "considered to be the best" and suggesting that "now is the best time to replace your car". This information is not based on a sample or experimental data, but rather on the claims made by the car brand itself in their advertisement.
The data source in this case is secondary data, specifically an advertisement. This means that the information provided should be critically evaluated and further research should be conducted to verify its accuracy and reliability.
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Which choice is equivalent to the product below when x is greater than 0?
I think that's ur answer