For f(x)=3x-1 find the average rate of change on the interval [0,3]
-6x+6y=6
-6x+3y=-12
Solve using elimination
The area of a circle is represented by the following expression, where r is the radius of the circle.
Find the approximate area of a circular pool cover with a radius of 12.5 meters. Use 3.14 for .
Two congruent triangles fit together to form a parallelogram with a base of 14 inches and a height of 10 inches. What is the area of each triangle?
Final answer:
The area of each triangle is 140 square inches.
Explanation:
The area of a triangle is given by the formula A = ½ × base × height.
In this case, the base of the parallelogram is 14 inches and the height is 10 inches.
Since two congruent triangles form the parallelogram, we can consider one of the triangles.
Let's call the base of the triangle 'b' and the height 'h'.
We have the equation A = ½ × b × h = 14 × 10 = 140 square inches.
Therefore, the area of each triangle is 140 square inches.
If the dimensions of a square pyramid are measured in meters, then the surface area of the pyramid is measured in
meters
square meters
cubic meters
Answer:
If the measurments are in meters, then the surface area of the pyramid will be in square meters.
Step-by-step explanation:
rectangles. Please help!
* 20 points when marked brainliest *
Please explain thoroughly.
What is the mean for 43005,43007,43006,43005,43007
How is the square root of 343 cubed 7?
The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
[tex]h = (x+1)-\dfrac{4}{(x^3+3x^2+8)}[/tex]
Given :
Volume of rectangular prism [tex]= x^4+4x^3+3x^2+8x+4[/tex]
Base Area of a rectangular prism = [tex]x^3+3x^2+8[/tex]
[tex]\rm Volume = Base \;Area\times Height[/tex] ---- (1)
Solution :
The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.
Let the height of the prism be h.
Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).
[tex](x^4+4x^3+3x^2+8x+4) = (x^3+3x^2+8)\times h[/tex]
[tex]\dfrac{x^4+4x^3+3x^2+8x+4}{x^3+3x^2+8}=h[/tex]
[tex]h = \dfrac{((x+1)(x^3+3x^2+8)-4)}{(x^3+3x^2+8)}[/tex]
[tex]h = (x+1)-\dfrac{4}{(x^3+3x^2+8)}[/tex]
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
[tex]h = (x+1)-\dfrac{4}{(x^3+3x^2+8)}[/tex]
For more information, refer the link given below
https://brainly.com/question/15861918
In the number 7,889 which contains digits where one digit is ten times the value as the other digit?
the points (10, 6) and (7, u) fall on a line with a slope of -4/3. what is the value of u?
What is the volume of a cube with a side length that measures 8cm? ANWSER ASAP please
What is 6.877 rounded to the nearest whole number
Solve for a.
a+(−4)=−13
What is the answer?
a=−17
a=−9
a = 9
a = 17
A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials. What is the relative frequency of selecting a heart? a:15% b:25% c:27% d:35% Outcome Club Diamond Heart Spade Number of trials 8 12 14 6
1) Given the data 12, 39, 21, 18, 24, 17, 12, 25:
What is the outlier in the data?
What is the mean with the outlier?
What is the mean without the outlier?
A)12; 21; 18.4
B)12; 18.4; 21
C)39; 21; 18.4
D)39; 18.4; 21
Help meeeeeeeeeeeeee
$27.99 shoes ; 7 1/2 tax find the total cost or sale price to the nearest cent
Answer:
$The total cost or sale price = $30.09
Step-by-step explanation:
The total cost or sale price is the absolute price of a commodity including the given tax.
From the question given, the tax is [tex]7\frac{1}{2}[/tex]% of the price. So that;
Tax = [tex]7\frac{1}{2}[/tex]% × 27.99
= 0.075 × 27.99
= 2.09925
∴ Tax = $2.09925
The total cost or sale price = price + tax
= $27.99 + $2.09925
= $30.08925
The total cost or sale price = $30.09
match the math sentence that count on and back by tens.
38+20=? 63+40=? 42+30=?
77-30=? 53-40=? 91-20=?
- ( 38 + 20 = 58 ): Counting 20 more than 38 gives 58.
- ( 63 + 40 = 103 ): Adding 40 to 63 results in 103.
- ( 42 + 30 = 72 ): Adding 30 to 42 gives 72.
- ( 77 - 30 = 47 ): Subtracting 30 from 77 results in 47.
- ( 53 - 40 = 13 ): Subtracting 40 from 53 gives 13.
- ( 91 - 20 = 71 ): Subtracting 20 from 91 results in 71.
let's go through each math sentence and solve them step by step:
1. ( 38 + 20 )
- Start with 38.
- Add 20 to 38.
- Calculation: ( 38 + 20 = 58 )
- So, ( 38 + 20 = 58 )
2. ( 63 + 40 )
- Start with 63.
- Add 40 to 63.
- Calculation: ( 63 + 40 = 103 )
- So, ( 63 + 40 = 103 )
3. ( 42 + 30 )
- Start with 42.
- Add 30 to 42.
- Calculation: ( 42 + 30 = 72 )
- So, ( 42 + 30 = 72 )
4. ( 77 - 30 )
- Start with 77.
- Subtract 30 from 77.
- Calculation: ( 77 - 30 = 47 )
- So, ( 77 - 30 = 47 )
5. ( 53 - 40 )
- Start with 53.
- Subtract 40 from 53.
- Calculation: ( 53 - 40 = 13 )
- So, ( 53 - 40 = 13 )
6. ( 91 - 20 )
- Start with 91.
- Subtract 20 from 91.
- Calculation: ( 91 - 20 = 71 )
- So, ( 91 - 20 = 71 )
Therefore, the solutions are:
- ( 38 + 20 = 58 )
- ( 63 + 40 = 103 )
- ( 42 + 30 = 72 )
- ( 77 - 30 = 47 )
- ( 53 - 40 = 13 )
- ( 91 - 20 = 71 )
Question number 7 please
Officials in a town use a function c to analyze traffic patterns. C(n) represents the rate of traffic through an intersection where n is the number of observed vehicles in a specified time interval. What would be the most appropriate Damian for the function
The most appropriate domain for [tex]\( C(n) \)[/tex] is non-negative integers, representing the count of vehicles observed.
The most appropriate domain for the function [tex]\( C(n) \)[/tex], which represents the rate of traffic through an intersection based on the number of observed vehicles [tex]\( n \)[/tex] in a specified time interval, would be all non-negative integers. This is because the number of vehicles observed [tex](\( n \))[/tex] can only be a whole number (you can't have a fraction of a vehicle), and it can't be negative.
So, the domain of [tex]\( C(n) \)[/tex] would be:
[tex]\[ \text{Domain: } n \in \{0, 1, 2, 3, \ldots\} \][/tex]
This means [tex]\( n \)[/tex] is any non-negative integer.
what is the probability of randomly choosing a day of the week that dosen't begin with the letter t and the letter s
Mentone, Indiana claims to have the wor d's largest egg sculpture. A 5 foot tall person standing next to the egg sculpture casts a shadow that is 3 feet long. if the egg casts a shadow that is 6 feet long, how tall is the sculpture?
What is the value of mc020-1.jpg?
40
77
4,096
9,317
Answer:
The answer is 77
just took the test ;)
The value of the function (f/g) (5) is 270.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given functions are f(x)=7+4x
g(x) = 1/2x
We need to find the value of f/g(5)
(f/g) (x) = f (x)/g(x)
(f/g) (5) = f (5) / g(5)
Now we will put the value of x = 5
f (5) = 7 + 4 (5) = 27
g (5) = 1 / (2)(5) = 1/10
(f/g) (5) = 27 / (1/10)
(f/g) (5) = 270
Hence, the value of the function (f/g) (5) is 270.
To learn more on Functions click:
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The given question is not complete.
The question will be like this, the function f(x)=7+4x, g(x) = 1/2x then value of f/g(5)?
A group of seventh and eighth graders were asked whether they prefer reading fiction or nonfiction.
This table shows the relative frequencies of the rows for the two-way table representing this situation.
Select from the drop-down menus to complete the statement.
The percent of seventh graders surveyed who prefer fiction is ____ the percent of eighth graders surveyed who prefer fiction.
A. greater than
B. less than
C. equal to
Answer:
Option A. greater than
Step-by-step explanation:
The percent of seventh graders surveyed who preferred fiction = 0.75 or 75%
The percent of eight graders surveyed who preferred fiction = 0.68 or 68%
Now we can say the percentage of seventh graders who preferred fiction is GREATER THAN the percentage of eight graders who preferred fiction.
Therefore option A. is the correct option.
Matias stacked his cubes to make this rectangular prism. rectangular prism with grid lines How many cubes did Matias use?
https://static.k12.com/calms_media/media/1451000_1451500/1451333/1/fa05fd502d1273bf0751cb02832848aa1b938634/Math_Purple_140218_131628.jpg
Answer:
The answer is 112
at a local animal shelter there are 12 small size dogs and 5 medium sized dogs everyday the small sized dogs are each given 12.5 oz of dry food and the medium sized dogs are each given 18 oz of the same dry food how many pounds of dry food does the shelter serve in one day
The shelter serves a total of 15 pounds of dry food per day, after calculating the food given to both small and medium-sized dogs and converting the total from ounces to pounds.
To calculate the total amount of dry food served at the shelter in one day, you must multiply the amount of food each dog consumes by the number of dogs of that size. Then, add the totals for each size category. Since the pound is the most suitable unit for this calculation, you need to convert the ounces of food into pounds. There are 16 ounces in one pound.
First, calculate the total food for small-sized dogs: 12 dogs × 12.5 oz each = 150 oz.Then, calculate the total food for medium-sized dogs: 5 dogs × 18 oz each = 90 oz.Combine the amounts: 150 oz + 90 oz = 240 oz of dry food total.Finally, convert ounces to pounds: 240 oz ÷ 16 oz per pound = 15 pounds of dry food.Therefore, the shelter serves a total of 15 pounds of dry food in one day.
Ian is going to water his plants is it reasonable to say he will fill the watering can with 3 liters of water explain
Final answer:
It is reasonable for Ian to fill a watering can with 3 liters of water for watering plants, as it falls within the typical range required by houseplants and should suffice for watering multiple indoor plants or a small garden.
Explanation:
To determine if it is reasonable for Ian to fill a watering can with 3 liters of water to water his plants, we should consider the capacity of common watering cans and the typical water requirements for houseplants. For example, a standard watering can might hold anywhere from 1 to 10 liters of water, and most indoor plants generally require between 0.25 and 1 liter of water per week, depending on their size and the environmental conditions.
If Ian has several plants or a few large plants, 3 liters of water might be a perfectly reasonable amount for him to use. Without knowing the exact number and size of the plants, it is difficult to provide a precise answer, but in general, 3 liters is within a normal range for watering multiple houseplants.
For a substantial garden or larger outdoor plants, 3 liters might even be on the lower end, and multiple trips to the tap may be necessary. Thus, it is indeed reasonable to say that Ian will fill the watering can with 3 liters of water for watering plants.
How would 5,682,850,003 be written in expanded form?
A. 5 x 1,000,000,000 + 6 x 100,000,000 + 8 x 10,000,000 + 2 x 1,000,000 + 8 x 100,000 + 5 x 10,000 + 3 x 1
B. 5 x 1,000,000,000 + 6 x 100,000,000 + 8 x 10,000,000 + 2 x 1,000,000 + 8 x 100,000 + 5 x 10,000 + 3 x 10
C. 5 x 1,000,000,000 + 6 x 100,000,000 + 8 x 10,000,000 + 2 x 1,000,000 + 8 x 100,000 + 5 x 1,000 + 3 x 1
D. 5 x 1,000,000,000 + 6 x 100,000,000 + 8 x 10,000,000 + 2 x 1,000,000 + 8 x 100,000 + 5 x 100 + 3 x 1