Answer:
1/10 deg every 15 minutes x 4 = 4/10th degree in an hour (there are 4 15 minute segments in an hour)
= 2/5 degree/hr
The rate, in degrees per hour, that the temperature of the compound rose will be 1.5 degrees per hour.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Victoria conducted a scientific experiment. For a certain time, the temperature of a compound rose 2 ¹/₂ degrees every 1 ²/₃ hours.
Convert the mixed fraction number into a fraction number. Then we have
2 ¹/₂ = 2 + 1/2 = 5/2
1 ²/₃ = 1 + 2/3 = 5/3
The rate is calculated as,
Rate = (5/2) ÷ (5/3)
Rate = (5/2) x (3/5)
Rate = 3 / 2
Rate = 1.5 degrees per hour
The rate, in degrees per hour, that the temperature of the compound rose will be 1.5 degrees per hour.
More about the rate link is given below.
https://brainly.com/question/14731228
#SPJ2
For each table below, circle whether it is a Linear or Exponential table.
The tables in this problem are classified respectively as:
Linear.Exponential.Exponential.How to classify a function as linear or exponential?A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.
A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.
Hence the functions in this problem are classified as follows:
Linear, as when x increases by 1, y increases by 10.Exponential, as when x increases by 1, y is multiplied by 3.Exponential, as when x increases by 1, y is multiplied by 2.More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
Solve the inequality. Graph the solution.
d+12<19
Answer:
Move all terms not containing d
to the right side of the inequality.
Inequality Form:
d<7
Step-by-step explanation:
Sorry no graph
Answer:
d < 7
Step-by-step explanation:
d + 12 < 19
1. Subtract 12 from both sides
d + 12 - 12 < 19 - 12
d < 7
It takes a printer 6 minutes to print 40 pages. At this rate, how many pages will it
print in 15 minutes?
Answer:
100
Step-by-step explanation:
6+6=12
40+40=80
12+3=15
6÷2=3
40÷2=20
80+20=100
A ___ data table has input values that are listed either as column-oriented or row-oriented
The correct statement is: 'A one-variable data table has input values that are listed either down a column (column-oriented) or across a row (row-oriented). '
The correct answer is an option (a)
We know that a one-variable data table contain its input values either in a single column (column-oriented), or across a row (row-oriented).
And any formula in this data table must refer to only one input cell.
Whereas we se a two-variable data table to see how different values of two variables in one formula will change the formula results.
Custom data tables are used for: Building data-driven services that can easily be updated without modifying it and storing the results.
And the pre-formatted data tables stored as building blocks in galleries that can be accessed any time and be reused any number of times you want.
Therefore, the correct answer is an option (a)
Learn more about the data table here:
https://brainly.com/question/17023489
#SPJ4
The complete question is:
A ________ data table has input values that are listed either as column-oriented or roworiented.
A) one-variable
B) two-variable
C) custom
D) pre-formatted
if a power series matches a function f(x) exactly everywhere, the radius of convergence is
If a power series matches a function f(x) exactly everywhere, then the radius of convergence is infinite.
This means that the power series converges for all values of x. In other words, the power series can be used to approximate the function f(x) with arbitrary accuracy for any value of x.
This is a very powerful tool in mathematics and has many practical applications in science, engineering, and other fields.
The proof that a power series with infinite radius of convergence matches a function f(x) exactly everywhere is based on the fact that a power series is a sum of infinitely many terms, each of which is a polynomial in x.
By adding up these polynomials, we can approximate any function f(x) to an arbitrary degree of accuracy. The only limitation is that we need to know the coefficients of the power series,
which can be obtained by differentiating or integrating the function f(x) or by using other mathematical techniques. Once we have the coefficients, we can plug them into the power series formula and get an exact match for the function f(x).
To know more about function click here
brainly.com/question/28193995
#SPJ11
Cooper is deciding between two truck rental companies. Company A charges an initial fee of $80 for the rental plus $2 per mile driven. Company B charges an initial fee of $45 for the rental plus $3 per mile driven. Let AA represent the amount Company A would charge if Cooper drives xx miles, and let BB represent the amount Company B would charge if Cooper drives xx miles. Write an equation for each situation, in terms of x,x, and determine the interval of miles driven, x,x, for which Company A is cheaper than Company B.
The equation which can be used to represent each situation, in terms of x, is;
A = 80 + 2x
B = 45 + 3x
The interval of miles driven, x, for which Company A is cheaper than Company B is when x = 35 miles
How to write and solve equation?Let
The amount Company A would charge if Cooper drives x miles = AThe amount Company B would charge if Cooper drives x miles = BCompany A:
A = 80 + 2x
Company B:
B = 45 + 3x
Company B > Company A:
45 + 3x > 80 + 2x
collect like terms
3x - 2x > 80 - 45
x > 35
In conclusion, the interval of miles driven, x, for which Company A is cheaper than Company B is 35 miles.
Read more on equation:
https://brainly.com/question/2972832
#SPJ1
Solve for
9(x + 1) = 25+x
Answer:
2
Step-by-step explanation:
9(x+1)=25+x
9x+9=25+x
9x-x=25-9
8x=16
x=16/8
x=2
Help me slove this -> f(x) = x + 2
f(8) =
Answer:
f(8)=10
Step-by-step explanation:
f(8) would mean x=8.
So you could replace x with 8 in the equation.
f(8)=8+2
=f(8)=10
I hope this helped!
the region bounded by the given curves is rotated about the specified axis. find the volume of the resulting solid by any method. x = (y − 7)2, x = 16
The volume of the solid formed by rotating the region bounded by x = (y - 7)^2 and x = 16 about the x-axis can be found using the method of cylindrical shells with the integral ∫(0 to 9) 2πx * (16 - (y - 7)^2) dy.
To find the volume of the solid formed by rotating the region bounded by the curves x = (y - 7)^2 and x = 16 about the x-axis, we can use the method of cylindrical shells. The region is bounded by y = 0 and y = 9, which are the limits of integration.
The height of each cylindrical shell is given by h(x) = 16 - (y - 7)^2. We can express this as h(x) = 16 - (x^(1/2) - 7)^2. Using the formula for volume V = ∫(0 to 9) 2πx * h(x) dx, we integrate this expression with respect to x. Evaluating the integral will give us the volume of the resulting solid.
To know more about cylindrical,
https://brainly.com/question/30981845#
#SPJ11
Solve the formula for the volume V = πr 2 h for h.
Answer:
The answer is 5 because it is what it is.
Step-by-step explanation:
as seen from above in the image, a string is wrapped around the edge of a uniform cylinder of radius r = 42 cm and mass m = 5 kg which is initially resting motionless on a frictionless table
A string is wrapped around the edge of a uniform cylinder with a radius of 42 cm and a mass of 5 kg. The cylinder is initially at rest on a frictionless table.
In this scenario, the string wrapped around the cylinder can be used to apply a force and set the cylinder into motion. The tension in the string creates a torque that causes the cylinder to rotate. The key parameters of the cylinder are its radius (r = 42 cm) and mass (m = 5 kg).
To analyze the motion of the cylinder, we can consider the principles of rotational dynamics. The torque exerted on the cylinder is equal to the product of the tension in the string and the radius of the cylinder (τ = T * r). According to Newton's second law for rotation, the torque is also equal to the moment of inertia (I) multiplied by the angular acceleration (α) of the cylinder (τ = I * α).
Since the cylinder is initially at rest, the angular acceleration is zero. Therefore, the torque applied by the tension in the string is also zero. This implies that the tension in the string is zero, and there is no force acting on the cylinder to set it into motion.
Learn more about cylinder here:
https://brainly.com/question/10048360
#SPJ11
If Linda is at the store and can buy any two fruits (the store sells apples, oranges, pears, bananas, and kiwis), how many combinations of fruit can she choose?
Answer:
its 15
Step-by-step explanation:
i took the test and got it right
good luck!!
What is the slope of the line that passes through the points (4,9) and (6,10)
Answer: 2
Step-by-step explanation:
Is the number 24 prime or composite? Why? Use at least two facts via examples of sentences to support your answer.
Answer:
Esta es mi respuesta dame corona
Step-by-step explanation:
Los treinta primeros números compuestos son: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44 y 45
Para saber si un número es primo o compuesto basta con dividirlo por los números primos menores que él hasta llegar a un cociente igual o menor que el divisor. Si ninguna de estas divisiones es exacta, el número es primo. Si alguna de las divisiones es exacta el número es compuesto y podemos interrumpir el proceso.
Answer: Hello! 24 is a composite number as other numbers besides 1 and 24 go into it. For example 2,3, 4, 6, 8, and 12. A prime number, for example, 17 has no other numbers that go into it exactly.
Step-by-step explanation:
A line has an unlimited amount of points on it. Why do you think this is true?
Answer:
bc if it has no points it will go on infinitely
Step-by-step explanation:
In the box plot above, where is most of the data clustered?
A.
75 - 78
B.
73 - 75
C.
78 - 80
D.
70 - 73
In the box plot, most of the data is clustered around 75 - 78 (option A).
Where is most of the data clustered?A box plot is used to study the distribution and level of a set of numbers. The box plot has two whiskers and a box. The two whiskers represent the minimum value and the maximum value.
The first line on the box is the lower quartile. The next line on the box represents the median. The third line on the box represents the upper quartile. Majority of the data would lie between the first quartile and the third quartile.
To learn more about box plots, please check: https://brainly.com/question/27215146
#SPJ1
The ratio of skirts to dresses in isabellas wardrobe is 8:7 there are 32 skirts in her wardrobe how many dresses are there #
To find out how many dresses are in Isabella's wardrobe, you will need to use the ratio of skirts to dresses which is 8:7 and the number of skirts which is 32. Here's how you can solve the problem:
Step 1: Add the ratio of skirts to dresses together to get the total number of parts.8 + 7 = 15 This means that the total number of parts in Isabella's wardrobe is 15.
Step 2: Divide the number of skirts by the first part of the ratio
(8).32 ÷ 8 = 4
This means that for every 8 skirts, there are 7 dresses. Since there are 32 skirts, you can multiply the number of sets of 8 skirts by 7 to find out how many dresses there are.
4 × 7 = 28
Therefore, there are 28 dresses in Isabella's wardrobe. You can check your answer by verifying that the ratio of skirts to dresses is still 8:7 when you divide the total number of skirts and dresses by their greatest common factor, which is 4. 32 ÷ 4 = 8
and
28 ÷ 4 = 7, so the ratio is still 8:7.
For such more question on multiply
https://brainly.com/question/29793687
#SPJ8
The ratio of skirts to dresses in Isabella's wardrobe is 8:7. Given that there are 32 skirts, we know there are 4 'sets' of 8. Therefore, there should be 4 'sets' of 7 dresses, which totals to 28 dresses.
Explanation:The question states that the ratio of skirts to dresses in Isabella's wardrobe is 8:7. That means for every 8 skirts, she has 7 dresses. Given that there are 32 skirts in her wardrobe, we need to figure out how many dresses there are. We can do this by understanding that 32 skirts is 8 in the ratio, or 4 'sets' of 8. Therefore, there should be 4 'sets' of 7 dresses. When you multiply 7 (the number of dresses in each 'set') by 4 (the number of 'sets'), we get 28 dresses in Isabella's wardrobe.
Learn more about Ratios here:
https://brainly.com/question/32531170
#SPJ11
600 is blank times much as 6
Answer: 100 times
Explanation: 6 times 100 would be 600 so 600 would be 100 times bigger than 6.
Octagonal houses were popular in the 19th century one reason was that an octagon with the same perimeter as a square encloses a greater area than the square. To the nearest square ft, find the areas of an octagon and a square with perimeters of 80 ft.
Answer:
octagon: 483 ft²square: 400 ft²Step-by-step explanation:
You want the areas of an octagon and a square, each with a perimeter of 80 ft.
SquareThe side length of a square is 1/4 of its perimeter, so the square of interest has a side length of ...
(80 ft)/4 = 20 ft
The area is the square of the side length, so the area of the square is ...
A = s²
A = (20 ft)² = 400 ft²
OctagonA regular octagon has 8 sides of equal length, so the side length is ...
(80 ft)/8 = 10 ft
The area is found by the formula ...
A = 2(1 +√2)s²
A = 2(1 +√2)(10 ft)² ≈ 483 ft²
The area of the octagon is about 483 square feet; about 400 square feet for the square.
<95141404393>
The difference of ten and a number is no less than four plus three times a number
Answer:
See below.
Step-by-step explanation:
10-n≤4+3n
-10 -10
-n≤-6+3n
-3n -3n
-4n≤-6
/-4 /-4
n≥1.5
-hope it helps
Active peer pressure involves all of the following EXCEPT: A. bribery B. teasing C. put-downs D. famous people
Answer:
d
Step-by-step explanation:
it is d because famous people might do it but it is the lest likey
Answer:C
Step-by-step explanation:
Please i need answer urgently
Then the probability of randomly choosing a student with one sibling is:
P = 0.42
How to find the probability?To get this probability, we need to take the quotient between the number of students that have a sibling and the total number of students.
On the table we can see that there are:
2 + 7 + 4 + 13 = 26 students in total.
And of these, the ones that have one sibling are:
7 students with only one sister
+
4 students with only one brother.
7 + 4 = 11
Then the probability of having one sibling is:
P = 11/26 = 0.42
Learn more about probability at:
https://brainly.com/question/25870256
#SPJ1
Calcular la suma de la media propocional de 72 y 2 con la media diferencial de 72 y 79
The sum of the proportional mean of 72 and 2 with the differential mean of 72 and 79 is 19.
To calculate the sum of the proportional mean of 72 and 2 with the differential mean of 72 and 79, we need to first understand what these terms mean.
The proportional mean is calculated by taking the product of two numbers and then finding the square root of that product. In this case, we need to find the proportional mean of 72 and 2.
The differential mean is calculated by subtracting two numbers and then finding the absolute value of that difference. In this case, we need to find the differential mean of 72 and 79.
Step 1: Find the proportional mean of 72 and 2.
- Multiply 72 and 2: 72 * 2 = 144.
- Take the square root of 144: √144 = 12.
Step 2: Find the differential mean of 72 and 79.
- Subtract 79 from 72: 72 - 79 = -7.
- Take the absolute value of -7: |-7| = 7.
Step 3: Calculate the sum of the proportional mean and the differential mean.
- Add the proportional mean and the differential mean: 12 + 7 = 19.
Therefore, the sum of the proportional mean of 72 and 2 with the differential mean of 72 and 79 is 19.
To learn more about "Mean":
https://brainly.com/question/20118982
#SPJ11
what is 5.97 ● 10^24 to Standard Form?
Answer:
5.97 ● 10^24 in standard form is: 5.97⋅10^24
Step-by-step explanation:
(co 6) find the regression equation for the following data set x 245 187 198 189 176 266 210 255 y 50 54 55 78 44 41 51 60 group of answer choices
Regression analysis is a useful tool for analyzing relationships between variables and making predictions based on data.
the regression equation for the given data set. Here's a step-by-step explanation:
1. Calculate the mean of x-values (X) and y-values (y).
2. Calculate the differences between each x-value and X (xi - X) as well as each y-value and Y (yi - Y).
3. Multiply the differences obtained in step 2: (xi - x)(yi - y).
4. Sum up the products obtained in step 3: Σ(xi - x)(yi - y).
5. Calculate the square of differences between each x-value and X: (xi - x)².
6. Sum up the squared differences obtained in step 5: Σ(xi - x)².
7. Calculate the slope (b): b = [Σ(xi - x)(yi - y)] / [Σ(xi - x)²].
8. Calculate the y-intercept (a): a = y - b * x.
9. Write the regression equation: y = a + bx.
By performing these calculations using the given data set, you'll find the regression equation that best represents the relationship between the x and y variables.
to learn more about Regression analysis click here:
brainly.com/question/30011167
#SPJ11
Dengue fever viruses are carried by mosquitoes. There are several different serotypes of the dengue virus, and one study showed that, of all mosquitoes that carried serotype A, a proportion of 0.07 al
Yes, it is true that Dengue fever viruses are carried by mosquitoes.
The virus is transmitted through the bites of infected Aedes mosquitoes, which are primarily active during the day. It is important to note that there are several different serotypes of the Dengue virus, each of which can cause varying levels of illness. One study found that of all the mosquitoes that carried serotype A, a proportion of 0.07 were infected with the virus. This highlights the importance of taking measures to prevent mosquito bites, such as using insect repellent, wearing protective clothing, and eliminating standing water where mosquitoes can breed.
Know more about Dengue fever here:
https://brainly.com/question/13086824
#SPJ11
A forest fire which is initially 60 acres grows by 20% each day. firefighters battling the blaze can put out 15 acres of fire per day. what is the recursive rule for the number of an acres at the beginning of the nth day. how many acres are burning at the 8th day?
The recursive rule for the number of acres at the beginning of the nth day in a forest fire that grows by 20% each day and is battled by firefighters who can put out 15 acres per day is given by: A(n) = 1.2 * A(n-1) - 15, where A(n) represents the number of acres at the beginning of the nth day. Using this rule, we can calculate that there are 89.6 acres burning at the beginning of the 8th day.
Explanation: To determine the recursive rule for the number of acres at the beginning of the nth day, we need to consider the given information. The forest fire initially covers 60 acres and grows by 20% each day. This means that the number of acres at the beginning of the next day (n+1) is 1.2 times the number of acres at the beginning of the current day (n). However, the firefighters are able to put out 15 acres of fire per day.
Therefore, to calculate A(n), we start with the initial number of acres, which is 60, and apply the recursive rule. A(n) = 1.2 * A(n-1) - 15. This formula takes into account the growth of the fire by 20% and the reduction of 15 acres due to the firefighters' efforts. By substituting the values, we can calculate the number of acres at the beginning of each day.
To find the number of acres burning at the 8th day, we substitute n = 8 into the recursive rule. A(8) = 1.2 * A(7) - 15. We need to determine A(7) first by substituting n = 7, and so on, until we reach the initial value A(1) = 60. Once we have calculated A(8), we can determine that there are 89.6 acres burning at the beginning of the 8th day
Learn more about recursive rule here : brainly.com/question/2059043
#SPJ11
What scenarios are examples of fair use of a copyrighted image?
Select all that apply.
A newspaper prints a small image of a book cover alongside a review of the book.
A company that sells educational applications pays a license fee to use an image for one of its applications.
A city government department uses part of a copyrighted image for its anti-littering campaign.
An environmental nonprofit organization uses copyrighted images on the donation portion of its website.
Answer:
D) An environmental nonprofit organization uses copyrighted images on the donation portion of its website.
Three dice are thrown simultaneously, the probability that sum being 3 is * (2 Points) \( 3 / 215 \) \( -12^{2} \)
The probability of getting 3 is P(A) = 1/216. The probability that sum being 3 is 1 / 216.
When three dice are thrown simultaneously, the probability that the sum is 3 is 1/216. A dice can show a minimum of one and a maximum of six dots, for a total of six sides, giving it a total of 6 * 6 * 6 = 216 possible outcomes.
:When three dice are thrown simultaneously, the probability that the sum is 3 is 1/216. The probability can be calculated as follows:
Let A be the event that the sum is 3. The number of ways to get 3 is 1, i.e., (1, 1, 1). The total number of possible outcomes is 6³,
since each die can have 6 possible outcomes.
Therefore, the probability of getting 3 is P(A) = 1/216.
In conclusion, the probability that sum being 3 is 1 / 216.
To know more about probability visit:
brainly.com/question/31828911
#SPJ11
Which graph best represents the equation –x + 2y = 4?
Step-by-step explanation:
d.is your answer
Answer:
Answer:when x=2
Answer:when x=2-2×2+4y=16
Answer:when x=2-2×2+4y=164y=16+4
Answer:when x=2-2×2+4y=164y=16+4y=20/4=5
Answer:when x=2-2×2+4y=164y=16+4y=20/4=5again
Answer:when x=2-2×2+4y=164y=16+4y=20/4=5againx=-8
Answer:when x=2-2×2+4y=164y=16+4y=20/4=5againx=-8-2×-8+4y=16
Answer:when x=2-2×2+4y=164y=16+4y=20/4=5againx=-8-2×-8+4y=164y=16-16
Answer:when x=2-2×2+4y=164y=16+4y=20/4=5againx=-8-2×-8+4y=164y=16-16y=0/4=0
sorry.you have not attached graph.
Answer:
D.
Step-by-step explanation: