Please HELP!please solve this right and dont scam me it took me lots of time to save up this much thxs
Answers
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by,
\(k=\frac{y}{x}\)So here, we have,
\(k=\frac{160}{25}=\frac{320}{50}=\frac{480}{75}=\frac{640}{100}=6.4\)Thus, the constant of proportionality is 6.4.
Answer: 6.4
Step-by-step explanation: its 6.4 because 640 divided by 100 is 6.4, and if they're all proportional than this is true for all of them.
Related Questions
I need to know how many more there are.
Answers
Wdym????????????????
Help with the following equation 8x²-6x-5=x
Answers
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
Jeffrey used 50% of his blue paint to make a beautiful mural of his sky. After he completed his mural he had 5 cups of blue paint left. How much blue paint left did Jeffrey start with?
Please help me. :(
Answers
Answer:
10 ...
because 50% is ½ of 100%
since it's half ,that means you have to times the number of cups left by two to get the actual number of cups
I hope this helped :)
Answer:
10
Step-by-step explanation:
Use the formula A = Bh to find the area of the rhombus.
A rhombus with base 11 centimeters and height 8.2 centimeters.
What is the area?
Answers
Answer:
90.2 cm²
Step-by-step explanation:
A = Bh...... B= 11 cm ; h = 8.2 cm
A = 11cm×8.2cm
A= 90.2cm²
4 3/8 + 5 1/2= in fractions
Answers
Answer:
9 7/8
Step-by-step explanation:
1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.
2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.
3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.
Use the formula o = 7 to find the value of the missing variable 5 radians per sec, t= 9 sec = (round to the nearest thousandths)
Answers
Answer:
\(o = 9 \times \frac{5\pi}{9} \\ \)
\(o = 5\pi = 15.71\)
Find the a) domain, b) x-intercept and c) y - intercept: 1) f(x) = 3x-12 2x+4 2x+9 2) f(x) = x²-16 3) f(x) = x2-9
Answers
Answer
Check Explanation
Explanation
Before we start answering, we should first explain what these terms stand for
- Domain
The domain of a function refers to the values of the independent variable (x), where the dependent variable [y or f(x)] or the function has a corresponding real value. The domain is simply the values of x for which the output also exists. It is the region around the x-axis that the graph of the function spans.
- x-intercept
The x-intercept refers to the value of x when the value of y or f(x) = 0, that is, the value of x at which the graph of the function crosses the x-axis. To obtain this, we just solve for x when y or f(x) = 0
- y-intercept
The y-intercept refers to the value of y or f(x) when the value of x = 0, that is, the value of y when it crosses the y-axis. To obtain this, we just substitute 0 for x and solve for f(x)
We can now solve
\(f(x)=\frac{3x-12}{2x+4}\)- For the domain, we can tell that x can take on any real number value and provide an answer for f(x) except the point where the denominator of this is equal to 0. At the point where the denominator is 0, f(x) will tend to infinity.
2x + 4 = 0
2x = -4
Divide both sides by 2
(2x/2) = (-4/2)
x = -2
So, the domain of this function is all real number values for x except x = -2
- For the x-intercept, we just solve for x when f(x) = 0
\(\begin{gathered} f(x)=\frac{3x-12}{2x+4} \\ \text{when f(x) = 0} \\ 0=\frac{3x-12}{2x+4} \\ \text{Cross multiply} \\ 3x-12=0\times(2x+4) \\ 3x-12=0 \\ 3x=12 \\ \text{Divide both sides by 3} \\ \frac{3x}{3}=\frac{12}{3} \\ x=4 \end{gathered}\)The x-intercept = 4.
In coordinate form, the x-intercept is (4, 0)
- For the y-intercept, we just solve for f(x) when x = 0
\(\begin{gathered} f(x)=\frac{3x-12}{2x+4} \\ \text{when x = 0} \\ f(x=0)=\frac{3(0)-12}{2(0)+4} \\ f(x)=\frac{0-12}{0+4}=\frac{-12}{4}=-3 \end{gathered}\)The y-intercept = -3
In coordinate form, the y-intercept is (0, -3)
For the second question
\(f(x)=\frac{2x+9}{x-3}\)- The domain will be all real number values of x except when (x - 3) = 0
x - 3 = 0
x = 3
The domain will be all real number values of x except when x = 3.
- For the x-intercept, we just solve for x when f(x) = 0
\(\begin{gathered} f(x)=\frac{2x+9}{x-3} \\ when\text{ f(x) = 0} \\ 0=\frac{2x+9}{x-3} \\ \text{Cross multiply} \\ 2x+9=0 \\ 2x=-9 \\ x=-4.5 \end{gathered}\)The x-intercept = -4.5
In coordinate form, the x-intercept = (-4.5, 0)
- For the y-intercept, we solve for f(x) when x = 0
\(\begin{gathered} f(x)=\frac{2x+9}{x-3} \\ \text{when x = 0} \\ f(x=0)=\frac{0+9}{0-3}=\frac{9}{-3}=-3 \end{gathered}\)The y-intercept = -3
In coordinate form, the y-intercept is (0, -3)
For the third question
\(f(x)=\frac{x^2-16}{x^2-9}\)- For the domain, we first solve for when x² - 9 = 0
x² - 9 = 0
x² = 9
x = ±√9
x = ±3
x = +3 or -3
The domain of this function is all real number values of x except when x = +3 and x = -3
- For the x-intercept, we solve for x when f(x) = 0
\(\begin{gathered} f(x)=\frac{x^2-16}{x^2-9} \\ \text{when f(x) = 0} \\ 0=\frac{x^2-16}{x^2-9} \\ \text{Cross multiply} \\ x^2-16=0 \\ x^2=16 \\ x=\pm\sqrt[]{16} \\ x=\pm4 \\ x=+4_{} \\ or\text{ x = -4} \end{gathered}\)The x-intercepts are at -4 and +4.
In coordinate form, the x-intercept are (-4, 0) and (4, 0)
- For the y-intercept, we solve for f(x) when x = 0
\(\begin{gathered} f(x)=\frac{x^2-16}{x^2-9} \\ \text{when x = 0} \\ f(x)=\frac{0-16}{0^{}-9}=\frac{-16}{-9}=1.7778 \end{gathered}\)The y-intercept = (16/9) = 1.7778
In coordinate form, the y-intercept is (0, 1.7778)
Hope this Helps!!!
_____indicates the level
of uncertainty that people can
tolerate to work efficiently without
experiencing undue stress
Select one:
a. Tolerance for ambiguity
b. Risk propensity
c. Workahollism
d. Authoritaritznism
= Tolerance for ambiguity
Answers
Step-by-step explanation:
indicates the level
of uncertainty that people can
tolerate to work efficiently without
experiencing undue stress
1/3x+ 1/3y=–9/5
in standard form
helpp
Answers
There is the answer to this equation problem
A dunk tank with a radius of 36 inches
Answers
Answer:
The circumference of the circle is about 226.08 inches. ANSWER: 3.14 × 72 = 226.08 in.
Step-by-step explanation:
What two numbers multiply to -35 and add to get -18
Answers
he two numbers that multiply to -35 and add to get -18 are -5 and 3.
To see why, you can use the factoring method. First, find two numbers that multiply to give you -35. The factors of -35 are -1, 1, -5, and 5. So, the two numbers that multiply to -35 are either -5 and 7 or 5 and -7.
Next, find which pair of numbers adds up to -18. It's clear that 5 and -7 add up to -2, so they don't work. However, if we choose -5 and 3, we get:
-5 + 3 = -2
So, -5 and 3 are the two numbers that multiply to -35 and add to -18.
the total of the square of a number n and the difference between seventeen and the square of the number
Answers
Answer:
Step-by-step explanation:
n²+(17-n²)=n²+17-n²=17
Answer: n²+(17-n²)=n²+17-n²=17
Step-by-step explanation:
Roselyn is driving to visit her family, who live 150 kilometers away. Her average speed is 60 kilometers per hour. The car's tank has 20 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 kilometers per liter. Fuel costs 0.60 dollars per liter. How long can Roselyn drive before she runs out of fuel?
Answers
Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out
Distance travelled with 20 l of petrol in solution and final answer.
Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.
The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.
Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.
As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.
Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.
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Here is a picture of a cube, and the net of this cube. What is the surface area of this cube?
Answers
Answer: 864mm
Step-by-step explanation:
A cube has 6 faces and each side of the face is 12mm. Cubes are square, so each of the sides is the same value.
We take 12mm x 12mm = 144mm as an area for ONE side.
There six sides, so take 144 x 6 = 864
The area is 864mm
34.0157 (inches)
86.4 (cm)
A pipe has a diameter of 2.5 inches. Insulation that is 0.5 inch thick is placed around the pipe. What is the diameter of the pipe with the insulation around it?
Answers
Answer:
So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.
Step-by-step explanation:
To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:
C = 2 * π * r
Where:
· C = circumference of the pipe
· π = the mathematical constant approximately equal to 3.14
· r = the radius of the pipe
Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:
r = 2.5 inches + 0.5 inch = 3 inches
Plugging in the values:
C = 2 * π * 3
C = 6.28 * 3
C = 18.84 inches
Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.
Bourne Incorporated reports a cash balance at the end of the month of $2,520. A comparison of the company's cash records with the monthly bank statement reveals several additional cash transactions: bank service fees ($81), an NSF check from a customer ($310), a customer’s note receivable collected by the bank ($1,100), and interest earned ($31).
Required:
Record the necessary entries to adjust the balance of cash. (If no entry is required for a transaction/event, select "No Journal Entry Required" in the first account field.)
Answers
Answer:
Company balance$2,170
Service fees: $(67)
NSF check: $(170)
Note received: 1,100
Interest earned: 17
Reconciled company balance: $3,050
Step-by-step explanation:
Reconciled cash balance = 2345 - 74 + 1200 - 240 +24
= $ 3255.
Conclusion : Reconciled cashbalance = $ 3255.
Hope this answers it.
need help benja plz...
Answers
Answer:
35
Step-by-step explanation:
Given a cylinder with a volume of 502.4 in3and radius 4 in. Find the height of the cylinder.
Answers
Answer:
h = 9.99in
Step-by-step explanation:
...
When listing all the pairs of factors for a particular term, the is being used.
Answers
When listing all the pairs of factors for a particular term, the factorization process is used.
How is factorization used?This process is fundamental in number theory and is used to break down composite numbers into their simplest building blocks: prime numbers.
For example, if we want to find all pairs of factors for the number 24, we could follow these steps:
Start with 1 and the number itself (in this case 24), as these are always factors.
Check if 2 divides 24 evenly. If it does, then 2 and 24/2 (which is 12) are a pair of factors.
Continue this process with increasing numbers. Check 3 (yes, it works, with the pair being 3 and 8), 4 (yes, with the pair being 4 and 6), and so on.
When the numbers you're testing exceed the square root of the original number (approximately 4.9 for 24), you can stop, as you'll have found all pairs.
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In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, what would the same 30 second commercial have cost during the first Super Bowl in 1967, when the CPI was 33.4? Round your answer to the nearest hundred dollars.
Answers
In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, when the CPI was 33.4 the estimated cost of a 30-second commercial during the first Super Bowl in 1967 would be approximately $68,900.
To calculate the cost of the 30-second commercial during the first Super Bowl in 1967, we can use the concept of inflation and the Consumer Price Index (CPI).
The CPI measures the average price change of a basket of goods and services over time. By comparing the CPI values of two different years, we can estimate the relative increase in prices due to inflation.
Given data:
Cost of a 30-second commercial in 2021 = $5.6 million
CPI in 2021 = 271.4
CPI in 1967 = 33.4
To calculate the cost in 1967, we need to adjust the 2021 cost for inflation using the CPI ratio:
Cost in 1967 = (Cost in 2021) * (CPI in 1967 / CPI in 2021)
Cost in 1967 = ($5.6 million) * (33.4 / 271.4)
Cost in 1967 ≈ $0.689 million
To round the cost to the nearest hundred dollars, we can multiply the cost by 100 and round it to the nearest whole number:
Cost in 1967 ≈ $68,900
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A manager drew this box-and-whisker plot to represent the number of minutes each of his 27 employees took on their break. Each employee took a different amount of time.
How many employees took a break longer than 49 minutes?
Help please!
Note: Put the correct answer! I don't want to get this wrong!
Thank you <3
Answers
Approximately 7 employees took a break longer than 49 minutes.
We have,
In a box-and-whisker plot, the box represents the interquartile range (IQR), which includes the middle 50% of the data.
The line within the box represents the median.
The "whiskers" extend to the minimum and maximum values, excluding any outliers.
Given the information provided:
Median = 41
Q1 = 37
Q3 = 49
Largest = 55
Smallest = 35
Since Q3 represents the upper quartile and corresponds to the boundary for the upper 25% of the data, we can conclude that 25% of the employees took a break longer than 49 minutes.
Now,
The number of employees who took a break longer than 49 minutes can be estimated by calculating 25% of the total number of employees:
25% of 27 employees
= (25/100) x 27
= 6.75
Since we cannot have a fractional number of employees, we round up to the nearest whole number.
Therefore,
Approximately 7 employees took a break longer than 49 minutes.
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24 - 10x = 9 (ignore---------------------------------------------------------------------------------------------------------------)
Answers
\(\fbox{x=$\dfrac{3}{2}$}\) or \(\fbox{x=1.5}\)
Simplify Equation:
\(24-10x=9\)
\(-10x+24=9\)
Subtract 24 from both sides:
\(-10x+24-24=9-24\)
\(-10x=-15\)
Divide both sides by -10:
\(\dfrac{-10x}{-10} =\dfrac{-15}{-10}\)
\(x=\dfrac{3}{2}\) or \(x=1.5\)
Two vectors of lengths 4 and 6 have a dot product equal to 24. Which is true about the vectors?
Answers
Answer:
1
Step-by-step explanation:
the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. In Euclidean geometry , the dot product of the Cartesian coordinates of two vectors is widely used.
Answer:
C
Step-by-step explanation:
Edge 2021
x - 2y = - 7
3x + 2y = 3
Answers
Answer:
1. x = − 7 + 2 y
2. x = 1 − 2 y /3
Step-by-step explanation:
Answer: [1] x + 2y = 7
[2] 3x - 2y = -3
x – 4 = -9 + x
How do I do this
Answers
Answer: No Solution
Step-by-step explanation: There isn't an option to get x by itself, leaving you with no Solution.
Heres where it fails:
x - 4 = -9 + x
Get X by Itself
x - 4 = -9 + x
-x -x
-4 = -9
And last time I checked, -4 doesn't equal -9
SHARE 300 USING 2:3:5
Answers
If we divide 300 into parts using the ratio 2:3:5, we get:
2 parts = 2/10 of the total ratio = 2/10 x 300 = 60
3 parts = 3/10 of the total ratio = 3/10 x 300 = 90
5 parts = 5/10 of the total ratio = 5/10 x 300 = 150
Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.
I hope I helped!
~~~Harsha~~~
0.276 a rational number, why? explain please.
Answers
Answer:
It can be represented as a fraction, 276/1000. It isn't non-terminating.
0.276 is a rational number because we can write it as a fraction, where both denominator and numerator are integers.
Patient’s wt: 60 lb Medication order: 0.5 mg/kg Stock medication: 10 mg/mL
Answers
1. The weight of the patient in kilograms is 27.216 kg. (60 lb * 0.4536 kg/lb = 27.216 kg)
2. The total dosage of medication required for the patient is 13.608 mg. \((0.5 mg/kg \times 27.216 kg = 13.608 mg)\)
3. The patient should be administered 1.3608 mL of the stock medication. (13.608 mg / 10 mg/mL = 1.3608 mL)
To calculate the necessary values based on the given information, let's follow the steps below:
Determine the weight of the patient in kilograms:
Given that the patient weighs 60 lb, we can convert this to kilograms using the conversion factor of 1 lb = 0.4536 kg.
Weight (in kg)\(= 60 lb \times 0.4536 kg/lb = 27.216 kg.\)
Calculate the total dosage of medication required for the patient:
The medication order is 0.5 mg/kg, and the patient weighs 27.216 kg.
Total dosage \(= 0.5 mg/kg \times 27.216 kg = 13.608 mg.\)
Determine the amount of stock medication required in milliliters (mL):
The stock medication is available in a concentration of 10 mg/mL.
To find the volume required, we need to divide the total dosage by the concentration of the stock medication.
Volume (in mL) = Total dosage (in mg) / Concentration (in mg/mL) = 13.608 mg / 10 mg/mL = 1.3608 mL.
Therefore, based on the given information, the weight of the patient is 27.216 kilograms, the total dosage of medication required is 13.608 milligrams, and 1.3608 milliliters of the stock medication should be administered to the patient.
Please note that when administering medication, it is crucial to follow the guidance of a healthcare professional and consider other factors such as the specific medication instructions, patient's condition, and any allergies or contraindications.
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Question: A patient weighs 60 lb, and the medication order is 0.5 mg/kg. The stock medication is available in a concentration of 10 mg/mL.
Based on this information, calculate the following
What is the weight of the patient in kilograms? (1 lb = 0.4536 kg)
What is the total dosage of medication required for the patient?
How many milliliters (mL) of the stock medication should be administered to the patient?
Please provide the necessary calculations and steps to find the answers based on the given information.
Two increased by the product of a number and 7 is at most -29
Answers
The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.
The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.
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The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.
The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we two by the product of a number and 7, the result is at most -29 if the number is -31/7.
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Quadrilateral EFGH is an isosceles trapezoid with bases EH and FG. The measure of angle HGF is (9y + 3)°, and the measure of angle EFG is (8y + 5)°. What is the measure of angle HGF?
Answers
Answer:
21°
Step-by-step explanation:
In an sosceles trapezoid, the lower base and upper base angles are congurent
⇒ ∠HGF = ∠EFG
⇒ 9y + 3 = 8y + 5
⇒ 9y - 8y = 5 - 3
⇒ y = 2
⇒ ∠HGF = 9(2) + 3
= 18 + 3
= 21
The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.
Explanation:This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.
Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.
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