TIMED, need the answer ASAP, will give brainiest
simplify. x-2/(x^2+4x-12)
When the polynomial is written in standard form, what are the values of the leading coefficient and the constant? 5x + 2 - 3x^2
If it costs $7.50 to park, how much will the stadium make from parking 10,600 vehicles?
A cone and a pyramid have the same height and same volume. If the radius of the base of the cone is r, what is the side length of the square base of the pyramid?
To find the side length of the square base of a pyramid with the same volume and height as a cone with radius r, one can use the volume formulas V = (1/3)πr²h for a cone and V = (1/3)a²h for a pyramid. Setting them equal and solving for a yields a = r√π, indicating that the pyramid's base side length is the cone's radius times the square root of π.
The student is asking for the relationship between the dimensions of a cone and a pyramid that have the same volume and height. Specifically, if we have a cone with a radius r, and we want to find the side length of a square base of a pyramid that also has the same volume and height as the cone.
The volume of a cone is given by the formula [tex]V = (\frac{1}{3}) \pi r^2h[/tex], where radius of the cone's base is denoted by 'r' and the height is denoted by 'h'. For a pyramid with a square base, the volume formula is [tex]V = (\frac{1}{3} )a^2h[/tex], where a is the side length of the square base and h is again the height.
Given that both volumes are equal, we can set the formulas equal to each other and solve for a: [tex](\frac{1}{3} )\pi r^2h = (\frac{1}{3} )a^2h[/tex]. The heights cancel out, and we can simplify the equation to solve for the side length a: a = r√π. Therefore, the side length of the square base of the pyramid is the radius of the cone's base times the square root of π.
An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 4 cm long. A second side of the triangle is 7.4 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter. A. 44.4 cm, 11.1 cm B. 44.4 cm, 3.2 cm C. 11.1 cm, 4.9 cm D. 24 cm, 4.9 cm
Andy currently runs a total of 12 miles each week. He plans to increase the number of miles he runs each week by 1.5 miles untill he is running a total of 26 miles each week. How many weeks will it take Andy to reach his goal?
Can somone help me with this 1 problem? In the figure shown, △RST is an isosceles triangle with RS≅RT. Which is the measure of ∠T?
A.21°
B.40°
C.70°
D.110°
In an isosceles triangle, base angles are congruent, meaning ∠R would equal ∠T. However, no angle measures are provided, making it impossible to determine the measure of ∠T with the given information.
Explanation:The given figure is an isosceles triangle, triangle RST, where RS is congruent to RT. In an isosceles triangle, the base angles are congruent, meaning that they have the same measure. Therefore, if we know the measure of one of the base angles, we know the measure of the other. The problem, however, does not provide the measures for any of the angles. This makes determining the measure of ∠T impossible with the given information. We would need to know either the measure of angle R or S or the measure of the angle at the vertex, angle T, to find the measure of ∠T. Without additional information, we cannot definitively choose between options A, B, C, or D.
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Given the system of inequalities below: -3x - y < 12 and 2x + 3y ≥ 9
a cooking show currently has about 223,00 regular viewers. The number of regular viewers has been decreasing at a rate of 4.7% per year. Which is the best prediction for the number of regular viewers the show will have in 6 years?
35,420
37,167
104,810
167,056
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
T.A. =
Answer:
Step-by-step explanation:
The equation of a circle is x2+y2-6y+1=0 what are the coordintes of the center and the length of the radius
The coordinates of the centre will be ( 0,3) and the length of the radius is equal to 2√2.
What is a circle?The circle is defined as the locus of the point traces around a fixed point called the centre and is equidistant from the out trace.
The general form of the equation of the circle is given as:-
( x - h )² + ( y - k )² = r²
We have an equation:-
x² + y² - 6y + 1 = 0
x² + y² - 6y + 9 - 9 + 1 = 0
( x - 0 )² + ( y - 3 )² = 8
By comparing the equation from the standard form we will get the centre ( 0,3) and the radius r = 2√2.
Therefore the coordinates of the centre will be ( 0,3) and the length of the radius is equal to 2√2.
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The trapezoids are similar. the area of the smaller trapezoid is 131 m2. find the area of the larger trapezoid to the nearest whole number. (1 point)
Suppose it costs $15 to roll a pair of dice. you get paid 2 dollars times the sum of the numbers that appear on the dice. what is the expected payoff of the game? is it a fair game?
We can conclude that, the money recieved by the player will be 2(x + y) and game is a fair game.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is it costs $15 to roll a pair of dice and you get paid 2 dollars times the sum of the numbers that appear on the dice.
Assume that you get x and y value on dice 1 and dice 2 respectively. Then the equation representing the money recieved by a individual will be -
2(x + y)
The game will be fair if -
2(x + y) > 15
Now, for the sum of (x + y) = 7, the player will not have any profit. However, from (x + y) = 8, the players will start making profits. So, we can say it is a fair game, if your luck is not bad so far.
Therefore, we can conclude that, the money recieved by the player will be 2(x + y) and game is a fair game.
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A bakery has 49 donuts and 28 muffins for sale. What is the ratio of muffins to donuts? Please answer ASAP 99 Points :V
Simplify: 8x - 4(2x - 5) - 2
Need this geometry answer quick!
(I think its answer c but not sure)
A trait has two alleles, and their frequencies are represented by p and q. if p = 0.90, what is q?
A silo is constructed using a cylinder with a hemisphere on top. The circumference of the hemisphere and the circumference of the cylinder are equal. The diameter of the circular base of the cylinder is 10 feet. The cylinder is 40 feet tall. One of the circular bases on the cylinder is in contact with the ground. What is the area of the surface of the silo that will be exposed to rain, wind, and sun?
The area of the surface of the silo that will be exposed to rain, wind, and sun is 450π square feet.
Explanation:Solution:
To find the area of the surface of the silo that will be exposed to rain, wind, and sun, we need to find the combined surface area of the hemisphere and the cylinder.
The radius of the circular base of the cylinder is half of its diameter, which is 10/2 = 5 feet.The height of the cylinder is 40 feet.The circumference of both the hemisphere and the cylinder is equal, so the circumference of the circular base of the cylinder is 2πr, where r is the radius of the base.The surface area of the hemisphere is equal to half of the surface area of a sphere with the same radius, which is 2πr²/2 = πr².The surface area of the circular base of the cylinder is πr².The surface area of the curved surface of the cylinder is the circumference of the base multiplied by the height of the cylinder, which is 2πr * 40.Now, let's calculate:
Surface area of the hemisphere = π(5)^2 = 25π square feetSurface area of the circular base of the cylinder = π(5)^2 = 25π square feetSurface area of the curved surface of the cylinder = 2π(5) * 40 = 400π square feetTo find the total surface area, we add up the surface areas of the hemisphere, the circular base, and the curved surface:
Total surface area = Surface area of hemisphere + Surface area of circular base + Surface area of curved surface = 25π + 25π + 400π = 450π square feet.
Therefore, the area of the surface of the silo that will be exposed to rain, wind, and sun is 450π square feet.
Mike has attempted 84 free throws. Of those attempted, 63 have gone in the basket. Based on this rate, what is the probability that Mike's next free throw attempt will go in the basket?
Final answer:
The probability that Mike's next free throw attempt will go in the basket is 75%.
Explanation:
To find the probability that Mike's next free throw attempt will go in the basket, we can use the ratio of successful attempts to total attempts. In this case, Mike has made 63 out of 84 attempts. So the probability can be calculated as:
Probability = Number of successful attempts / Total number of attempts
Probability = 63 / 84
Probability = 0.75
Therefore, the probability that Mike's next free throw attempt will go in the basket is 0.75 or 75%.
Which is the first step in drawing a line graph?
A. Plot a point for each piece of data.
B. Draw x- and y-axes on graph paper.
C. Create a scale that covers the data range.
D. Draw a line of best fit to show a trend.
Answer:
B) Draw x- & y-axes on graph paper.
Step-by-step explanation:
You need a graph before you can create your line.
#2 The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 57 mushroom pizzas and 38 pepperoni pizzas. What percentage of the pizzas were mushroom pizzas?
To find the percentage of pizzas that were mushroom pizzas, you must divide the number of mushroom pizzas by the total number of pizzas. To find the total number of pizzas, we must add the number of mushroom and pepperoni pizzas together.
57 + 38 = 95
Next, we can complete our division.
57/95 = 0.6
Finally, we should multiply by 100. This is because to convert a decimal to a percentage, we must move the decimal point two places to the right so that this value is out of 100 total percent.
0.6 * 100 = 60%
Therefore, 60% of the total pizzas are mushroom.
Hope this helps!
Simple interest is calculated on the principal in an account using the formula I=prt. How much simple interest does $3,500.00 earn in 6 months at an annual interest rate of 2.5%?
The area of a rectangle is represented by the expression 6x^3y^5. Which of the following could be the dimensions of the rectangle?
2xy^2 and 3x^2y^3
2xy^2 and 4x^2y^3
2x^3y and 3y^4
2x^3y and 3xy^4
Answer:a&c
Step-by-step explanation:
Help! Thanks in advance!
Screenshotted question!
You bought 12 one-gallon bottles of apple and orange juice for a school dance. the apple juice was on sale for $1.00 per one-gallon bottle. the orange juice was $1.75 per one-gallon bottle. you spend $15.00. how many bottles of each type of juice did you buy?
HELP ASAP WILL GIVE BRAINLIEST
The lines are parallel because they are side by side and have the same distance continuously between them. Please give me brainliest because I need one more to turn Virtuoso
Solve the system of equations using the substitution method.
{2x+8y=4 x=−3y+5
Enter your answers in the boxes.
A house on a floor plan is 10.5 inches long and 6.5 inches wide. If the scale used is 0.5 inch = 2 ft, how long is the actual house?
Consider this system of linear equations:
22x − y = -23 (equation 1)
11x + 12y = 1 (equation 2)