Answer: Our wavelength will be 2333.3 m.
Step-by-step explanation:
Since we have given that
Wave speed = 7 km/ s
Frequency = 3 Hz
We need to find the wavelength of an earthquake wave:
As we know that :
[tex]Frequency=\dfrac{Wave\ speed}{wavelength}[/tex]
First we convert km/sec to m/sec.
So, 7 km/sec= 7000 m/sec
so, our wavelength becomes
[tex]\dfrac{Wave\ speed}{frequency}\\\\\\=\dfrac{7000\ m/sec}{3\ Hz}\\\\\\=2333.33\ m[/tex]
So, our wavelength will be 2333.3 m.
Matt's Ice Cream Shoppe has 7 cups of sprinkles to use on sundaes for the rest of the day. If each sundae is served with
1/8
cup of sprinkles, how many sundaes can they serve?
Final answer:
Matt's Ice Cream Shoppe can serve 56 sundaes with 7 cups of sprinkles, assuming each sundae uses 1/8 cup of sprinkles.
Explanation:
The question asks: How many sundaes can Matt's Ice Cream Shoppe serve with 7 cups of sprinkles if each sundae is served with 1/8 cup of sprinkles?
To find the answer, we divide the total amount of sprinkles by the amount used per sundae. Here's the calculation:
Total amount of sprinkles = 7 cups.Amount of sprinkles per sundae = 1/8 cup.Number of sundaes that can be served = Total amount of sprinkles ÷ Amount of sprinkles per sundae = 7 cups ÷ 1/8 cup = 56 sundaes.Therefore, Matt's Ice Cream Shoppe can serve a total of 56 sundaes with their current stock of sprinkles.
Matt's Ice Cream Shoppe can serve 56 sundaes with the 7 cups of sprinkles they have.
To find out how many sundaes Matt's Ice Cream Shoppe can serve with 7 cups of sprinkles, we need to divide the total amount of sprinkles by the amount of sprinkles used per sundae.
Given:
- Total amount of sprinkles: 7 cups
- Amount of sprinkles per sundae: [tex]\( \frac{1}{8} \)[/tex] cup
Let ( x ) be the number of sundaes that can be served.
We can set up the equation:
[tex]\[ \text{Total amount of sprinkles} = \text{Amount of sprinkles per sundae} \times \text{Number of sundaes} \][/tex]
[tex]\[ 7 = \frac{1}{8} \times x \][/tex]
Now, to solve for ( x ), we can multiply both sides of the equation by 8:
[tex]\[ 7 \times 8 = x \][/tex]
[tex]\[ x = 56 \][/tex]
Therefore, Matt's Ice Cream Shoppe can serve 56 sundaes with the 7 cups of sprinkles they have.
A negative correlation means that ________. select one:
a. high values of one variable are associated with low values of the other
b. high values of one variable are associated with high values of the other
c. low values of one variable are associated with low values of the other
d. there is no relationship between the two variables
A negative correlation means that high values of one variable are associated with low values of the other. This suggests that as one variable increases, the other decreases respectively and vice versa, which can be seen in various real-world scenarios such as the relationship between time spent studying and number of mistakes made on a test.
Explanation:In the context of statistics and data analysis, a negative correlation means that high values of one variable are associated with low values of the other. This implies that as one variable increases, the other decreases correspondingly and vice versa. For instance, if we were examining the relationship between time spent studying and number of mistakes made on a test, a negative correlation might indicate that the more time a student spends studying, the fewer mistakes they make on the test. This is indicative of a negative correlation because as the value of one variable (study time) increases, the value of the other variable (mistakes) decreases.
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Anna took a job that paid $200 the first week. She was guaranteed a raise of 5% each week.
How much money will she make in all over 8 weeks?
Round the answer to the nearest cent.
The answer is 1909.82 (rounded to the cent).
I just took this test.
Please help, I’m so confused :/
The area of a rectangle is 28^2 , and the length of the rectangle is 1ft more than double the width. find the dimensions of the rectangle.
What does it mean to say that a polynomial equation is solvable by radicals?
How can i find one side of a triangle with another side and an angle?
please help algebra 2!!
Using the properties of equality, fill the blanks with the correct value to show the solution for y.
3(y-2)=18
3y-___=18
3y=___
You are studying for your final exam on the semester. Up to this point, you received 3 exam scores of 99%, 80%, And 70%. To receive a grade of B in the class, you must have an average exam score between 80% and 89% for all 4 exams including the final. Find the widest range of scores that you can get on the final exam in order to receive a grade of B for the class. Use interval notation
Answer: The interval would be [71,107]
Step-by-step explanation:
Since we ave given that
Scores received in 3 exams are 99%, 80%, and 70%.
To receive a grade of B in the class, he must have an average exam score between 80% and 89% for all 4 exams for all 4 exams.
So, Minimum marks he needs for all 4 exams is given by
[tex]80\times 4=320[/tex]
Maximum marks he needs for all 4 exams is given by
[tex]89\times 4=356[/tex]
And his total marks in 3 exams is
[tex]99+80+70\\\\=249[/tex]
Minimum marks he needs in final exam is given by
[tex]320-249\\\\=71[/tex]
Maximum marks he needs in final exam is given by
[tex]356-249\\\\=107[/tex]
Hence, the interval would be [71,107]
Find the average rate of change of
f(x) = -2x² - x from x=1 to x=6
Simplify your answer as much as possible
A _____________ is a three-dimensional form that has length and width but minimum thickness.
A student received a 75% on an exam. If there were 20 questions on the exam, which ratio would show the number of questions answered correctly to the total number of questions? A. 20:5 B. 5:20 C. 15:20 D. 20:15
A cylindrical water tank has a diameter of 6 meters and a height of 9 meters. What is the maximum volume of water the tank can hold? (to nearest whole number) A) 254 m3 B) 509 m3 C) 1018 m3 D) 2290 m3
Answer:
The answer is A) 254 m3
Solve for x. Simplify completely.
x^2+4x+4=8
A. x=-6 or x=2 is the answer
What is the graph of the equation 4x – 5y = 15?
When a number is subtracted from x the result is 6. What is that number
What is the perimeter of triangle ABC with the vertices A(-2,9), B(7,-3),C(-2,-3) in the coordinate plan
A)21 units
B) 15 units
C)34 units
D)36 units
PLZZZZZZZZZZ HELPPPPPPP MEDALS AND FAN
Final answer:
The perimeter of triangle ABC with the given vertices can be found by calculating the distances between the points. The lengths are 15 units for AB, 9 units for BC, and 12 units for AC, and their sum is 36 units. The correct option is D.
Explanation:
To determine the perimeter of triangle ABC with the given vertices A(-2,9), B(7,-3), C(-2,-3), we first need to calculate the lengths of the sides of the triangle using the distance formula, which is d = √((x₂ - x₁)² + (y₂ - y₁)²).
Length of AB: √((7 - (-2))² + ((-3) - 9)²) = √(81 + 144) = √225 = 15 unitsLength of BC: √((-2 - 7)² + ((-3) - (-3))²) = √(81 + 0) = √81 = 9 unitsLength of AC: √((-2 - (-2))² + (9 - (-3))²) = √(0 + 144) = √144 = 12 unitsThe perimeter is the sum of the lengths of the sides, so P = AB + BC + AC = 15 + 9 + 12 = 36 units.
The correct answer is 36 units which corresponds to option D.
Given the lease terms below, find the total lease cost, assuming that the deposit is nonrefundable.
Terms:
Length of lease: 36 months
MSRP of the car: $21,400
Purchase value of the car after lease: $17,100
Down payment: $1500
Monthly payment: $272
Security deposit: $350
Acquisition fee: $700
The total lease cost is the sum of the down payment, nonrefundable security deposit, acquisition fee, and the total payments over the lease term which amounts to $12,342.
Explanation:The total lease cost can be calculated by adding all fees, the nonrefundable deposit, monthly payments, and any other additional costs. We start by adding the down payment, security deposit, and acquisition fee:
Down payment: $1500Security deposit (nonrefundable): $350Acquisition fee: $700The monthly payment over the term of the lease is calculated by multiplying the monthly payment amount by the number of months in the lease term:
Monthly payment: $272Length of lease: 36 monthsMultiplying the monthly payment by the lease term gives us the total amount paid over the course of the lease:
272 * 36 = $9792Adding all the costs together gives us the total lease cost:
Total lease cost = Down payment + Security deposit + Acquisition fee + Total monthly paymentsTotal lease cost = $1500 + $350 + $700 + $9792Total lease cost = $12342Note that this calculation assumes that the security deposit is nonrefundable, which is often the case in a car lease. It's also important to note that additional costs may apply, such as excess mileage fees or wear and tear.
please help me with algebra 2?! i am so lost on how to do this!
1.Multiply and simplify if possible.
four square root of eleven•four square root of ten
(1 point)
11four square root of ten
11
10
four square root of one hundred ten
2.What is the simplest form of the expression?
cubed root of twenty four times a to the tenth times b to the sixth
(1 point)
3a3b2cubed root of two a
2a3bcubed root of a
2a3b2cubed root of three a
none of these
PLEASE ANSWER ASAP.
Find the area of the triangle QRS.
Area = square units
Answer:area is 140
Step-by-step explanation:
Answer:
Area= 140 square units
Step-by-step explanation:
q(-9, 5). r(6,10). s(2,-10).
find the area of the triangle QRS.
Area=140 square units
I don't know: Person 1, person 2, and person 3 made $660, if the ratio is 3:4:5, how much did person 1 person 2, and person 3 get?
HELP PLEASE CAN SOMEONE TAKE A LOOK?
1. The investment you make into a start=up company is also known as ____ (1point)
A. Venture Capital
B. first-time investment
C. entrepreneurial capital
D. beginning capital
At a sporting event the price for 3 cheeseburgers and 2 cups of lemonade is $14 and the price for 2 cheeseburgers and 4 cups of lemonade is $12. how much does it cost for 1 cheeseburger and 2 cups of lemonade
Please I need help with this.
A gift box is 12 inches long, 8 inches wide and 2 inches high. how much wrapping paper needed to wrap the box?
A.) 272 inches
B.) 192 inches
C.) 384 inches
D.) 184 inches
The triangle and the rectangle have the same perimeter.
Kendall says the sum of (6x^2+4xy+2y^2) and (4x^2-2xy-3y^2) is (10x^2+2xy-5y^2) what error did Kendall make
The error made was in the summation of the y^2 terms in each expression, leading to an incorrect final sum of the two expressions.
Explanation:Kendall's error lies in incorrectly adding the terms that contain y^2. Specifically, Kendall summed 2y^2 from the first expression and -3y^2 from the second expression, but mistakenly calculated the result as -5y^2 instead of the correct -y^2. Remember, when performing operations with similar terms, you must carry the correct sign along with each term.
So, the correct sum of (6x^2+4xy+2y^2) and (4x^2-2xy-3y^2) is (10x^2+2xy-y^2).
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If f(x) = (1/9)(9^x) what is f(3)
Answer: The required value of f(3) is 81.
Step-by-step explanation: We are given the following function :
[tex]f(x)=\left(\dfrac{1}{9}\right)9^x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We are to find the value of f(3).
Substituting x = 3 in equation (i), we get
[tex]f(3)\\\\\\=\left(\dfrac{1}{9}\right)\times9^3\\\\=9^2\\\\=81.[/tex]
Thus, the required value of f(3) is 81.
Answer:
81
Step-by-step explanation:
APEX
Austin rented a truck for one day. there was a base fee of $15.99 , and there was an additional charge of 82 cents for each mile driven. austin had to pay $123.41 when he returned the truck. for how many miles did he drive the truck?