Final answer:
To calculate the unit rate of rainfall in inches per hour, divide the amount of rainfall (1/2 inch) by the duration (3/4 hour), which gives 2/3 inches per hour.
Explanation:
The student is asking how to find the unit rate of rainfall in inches per hour when given that 1/2 inch of rain fell during 3/4 of an hour. To find the unit rate, divide the total amount of rainfall by the total time to get the amount of rain per one hour.
Step-by-step calculation:
Amount of rainfall: 1/2 inch
Duration of rainfall: 3/4 hour
To find inches per hour, divide the amount of rainfall by the duration:
(1/2 inch) / (3/4 hour) = (1/2) / (3/4) = (1/2) * (4/3) = 4/6 = 2/3 inches per hour.
Therefore, the unit rate of rainfall is 2/3 inches per hour.
Compute the simple interest earned on a deposit of $5000 at 8.5% for 120 days
Which events are independent? Check all that apply. rolling two number cubes at the same time choosing a card, and then flipping a coin choosing a first, second, and third place winner drawing a name from a hat, keeping it, then drawing another name drawing a marble from a bag, replacing it, then drawing another marble flipping the same coin three times
Answer:
1.rolling two number cubes at the same time
2.choosing a card, and then flipping a coin
5.drawing a marble from a bag, replacing it, then drawing another marble
6.flipping the same coin three times
Refer to the above data. in which year is there a balanced budget? year 1 year 2 year 3 year 4
Which describes a cost that fluctuates depending on the number of units produced A) Liability B) Revenue C) fixed cost D) Variable cost
Answer: D: Variable cost
Explanation: There are two aspects of cost in the process of production. One is fixed and the other is variable
The variable component is called as variable cost which fluctuates based on the number of units produced. The examples of variable costs include commissions, direct labor costs, manufacturing costs etc which depend on the number of units produced and sold
A cost that fluctuates depending on the number of units produced is called a variable cost.
Option D is the correct answer.
What is a variable cost?A variable cost is a cost that changes proportionally to the level of activity or production volume.
We have,
The cost per unit varies depending on how many units are produced.
As more units are produced, the variable cost increases, and as fewer units are produced, the variable cost decreases.
This is in contrast to a fixed cost, which remains constant regardless of the level of production.
Examples of variable costs include direct labor, raw materials, and production supplies.
Thus,
A cost that fluctuates depending on the number of units produced is called a variable cost.
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Lindsay's watering can holds 12 quarts of water. She uses 1 pint of water on each of her flowers.
How many flowers can she water?
She can water 24 flowers using 12 quarts.
1 quart consists of how many pints?1 quart consists of 2 pints
So, 12 quarts = 12*2 =24 pints
It is given that she uses 1 pint of water on each flower.
So, 24 pints can be used to water =24*1 =24 flowers.
Therefore, She can water 24 flowers using 12 quarts.
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Use part 1 of the fundamental theorem of calculus to find the derivative of the function. y = cos x (3 + v5)8 dv sin x
The first part of the Fundamental Theorem of Calculus provides a method to find the derivative of a function. However, clarity is needed in the question as it has extra elements. If we consider the derivative of y = cos x (3 + √5)8 sin x, it would be f'(x) = -sin x (3 + √5)8 sin x + cos x (3 + √5)8 cos x.
Explanation:Since the question asks for the derivative of the function y = cos x (3 + √5)8 dv sin x, we'll need to use the First Part of the Fundamental Theorem of Calculus. This theorem states that if a function f is continuous over the interval [a, b] and F is an antiderivative of f on [a, b], then the definite integral from a to b of f(x) dx equals F(b) - F(a). In this case, we have y = cos x (3 + √5)8 dv sin x which sadly is not clear due the presence of apparently extra and possibly typographical elements.
Assuming, the question intends to find derivative of y = cos x (3 + √5)8 sin x, we can proceed as follows:
Let f(x) = cos x (3 + √5)8 sin x. Then by applying the chain rule, we get: f'(x) = -sin x (3 + √5)8 sin x + cos x (3 + √5)8 cos x.
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A dog kennel uses 90 lb of dog food per day. How many pounds are used in a year?
Exercise 3.8 asked you to write a method called quadratic that solves quadratic equations and prints their roots. recall that a quadratic equation is a polynomial equation in terms of a variable x of the form a x2 + b x + c = 0. the formula for solving a quadratic equation is:
Instructions:Select the correct answer from the drop-down menu. In the figure, sin ∠MQP = cos N and sin R sin R and sin N cos N and sin M cos R and sin N .
Answer:
Cos R and sin N
Step-by-step explanation:
Find the area of a regular hexagon whose side measure is 5 cm.
When multiplied, what is the simplified form of (5 − 2i)(1 − 2i)? Write the answer in standard form, a + bi, where a and b are real numbers.
Solve for the variable 10/8=n/10
Answer: 50/4 or 12.5
Step-by-step explanation:
We can cross-multiply in this situation.
Cross-multiplying...
[tex]\frac{10}{8} = \frac{n}{10}[/tex]
8n = 10(10) = 100
In other words, we multiply the denominator of 10/8, which is 8, by the numerator of n/10, which is n, and vice-versa.
Dividing 8 on both sides....
n = 100/8 = 50/4 = 12.5
how much tax you need to pay on a taxable income of 40,000
at 6am the temperature is -5°f the temperature rises 6°f by noon what is the temperature at noon?
Choose the equation that represents the line passing through the point (-3,-1) with a slope of 4
in a survey of a town 56% of residents own a car, 21% of residesnts own a truck
Bernard weighs 7.5 pounds at birth. assuming his development proceeds normally, he should weigh about _____ pounds by his first birthday. 22.5 24.5 20.5 18.5
Given Bernard weighs 7.5 pounds at birth.The question is asking us to assume that Bernard development proceeds normally.We need to find Bernard birth after a year.
It is observed that birth of a child triples or is thrice (3 times ) the weight at birth.As Bernard is weighing 7.5 pounds so he will triple or be 3times of this weight.
Bernard weight after a year= 3x7.5=22.5 pounds.
I do have a time limit. I appreciate any help
If YB = ZA find the value of X and the length of YB
Write down and simplify the following algebraic expressions. The sum of −3x+5 and 7−4x is subtracted from 5x+17.
twice the difference of p and 10
If it takes 2 nurses 2 minutes to measure the blood pressure of 2 patients, how long would it take 200 nurses to measure the blood pressure of 200 patients (in minutes)?
Final answer:
One nurse takes 2 minutes to measure the blood pressure of one patient. With 200 nurses, each assigned to one patient, it will take all nurses 2 minutes to measure the blood pressure of 200 patients.
Explanation:
The question is asking for the time it would take a group of nurses to measure the blood pressure of an equal number of patients given a scenario. It works on the principle that if the number of nurses is directly proportional to the number of patients, the time it takes for one nurse to measure one patient's blood pressure will be the same, regardless of how many nurses or patients there are, as long as the ratio remains 1:1.
If it takes 2 nurses 2 minutes to measure the blood pressure of 2 patients, that means one nurse takes 2 minutes to measure the blood pressure of one patient. Therefore, if you have 200 nurses each measuring the blood pressure of one patient, it would still take 2 minutes for all 200 patients to have their blood pressure measured since each nurse is working with one patient individualy.
Which of the following shows the length of the third side, in inches, of the triangle below?
Hypotenuse is 74 and one leg is 24
Answer:
70 inches
Step-by-step explanation:
Cost per mile is calculated by dividing total cost by total miles. Using the notation P = cost per mile, C = total cost, and M = total miles, show this relationship in algebraic equation form.
Answer:
(cost per mile) = (total cost)/(total miles)
Substituting the variables defined in the problem statement, this is ...
P = C/M
Step-by-step explanation:
22x+70=17x-95 show step by step please
Answer:
Value of x is -33.
Step-by-step explanation:
[tex] \sf22x+70=17x-95 [/tex]
We combine x term together. In this equation there are two extra 22x and 17x and 17x is right hand side and we have to shift it left hand side so we have to change sign. 17x is a positive number so we have to shift in left hand side so it convert into negative number means - 17x.
[tex]\sf22x - 17x=-95 - 70[/tex]
Now, we combine next terms together and in right hand side we shift -70. Because in left hand side 70 is a positive number then we have to shift it right hand side so it change into negative.
[tex] \sf5x = - 165[/tex]
We write 5x because we subtract 22 with 17 and in right inside we write minus 165 because we add - 95 and -70. we can't subtract minus 95 and -70 because in front of the both of number there is a sign of minus.
Remember :-
- and - = + + and - = -- and + = -[tex]\sf x = \dfrac{ - 165}{5} [/tex]
We divide -165 by 5. Because in Left hand side 5x is in multiple so we shift it Right hand side and it turns into divide.
[tex] \sf \:x = - 33[/tex]
Now, we get value of x is -33.
Verification :-
Put values of x -33
22x+70
22×(-33) +70
= -726 + 70
= -656
Now, in R.H.S
17x-95
17×(-33) -95
= - 561 - 95
= - 656
L.H.S = R.H.S
Hence, proved
Note :-
L.H.S = Left hand side
R.H.S = Right hand side
Evaluate the expression. 32 + 6 × 22 – 42 ÷ 2
help how woudl i do this ive attached a picture
please show me how to answer this
s=4h+4w solve for h.
What is the similarity ratio of the smaller to the larger prisms? Enter your answer as a:b
Answer:
6:9>2:3
Step-by-step explanation:
In order to do this, you just have to equalize the ratio you just need to search for the same sides, so the 6 side is similar with the 9 side on the larger, and then the 8 to the 12 and the 4 to the 6, so you just equalize any of those equal we will use the 8 and 12:
8:12
Now we just reduce it with the same:
4:6
2:3
So the ratio would be 2:3.
QM Q2.) Find the multiplicities of the greatest zero, second greatest zero, and the smallest zero.