The trapezoid below has an area of 1575 cm. What equation could you solve to find the height of the trapezoid
Answer:
A
Step-by-step explanation:
a motorboat travels 432 kilometers on 6 hours going upstream and 384 km in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current.
please help slove and steps
Answer:
the answer is 12
hope i helped
Step-by-step explanation:
Find two different sets of parametric equations for the given rectangular equation (there are many correct solutions)
x^2+4y^2 - 16=0
What is the value of a, if a2 – 64 = 0 and a > 0?
(A) A bag of trail mix weighs 2 lb. By weight, 20% of the bag is oats. How many pounds is the oats portion of the trail mix? Write an equation for the situation and label the “part,” “whole,” and “percent.”
(B) What is the weight of the oats in the trail mix? Show your work!
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You borrow $3200 to buy new kitchen appliances. The simple interest rate is 5%. You pay the loan off after 4 years.
The total amount paid = $3840
What is simple interest formula?"A = P(1 + rt)
Where A = Total Amount (principal + interest)
P = Principal Amount
I = Interest Amount
r = Rate of Interest in decimal
R = Rate of Interest as a percent
[tex]r=\frac{R}{100}[/tex]
t = Time Period"
For given question,
P = $3200
t = 4 years
R = 5%
[tex]\Rightarrow r=\frac{5}{100}\\\\ \Rightarrow r=0.05[/tex]
Using the formula of simple interest,
[tex]A=P(1+rt)\\\\A=3200(1+(0.05\times 4))\\\\A=3200(1+0.2)\\\\A=3200\times 1.2\\\\A=\$ 3840[/tex]
Therefore, the total amount paid = $3840
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Balancing chemical equations lab answers is the number of total molecules on the left side of a balanced equation always equal to the number of total molecules on the right side of the equation?
Yes, in a balanced chemical equation, the number of total molecules (or atoms) on the left side of the equation is always equal to the number of total molecules (or atoms) on the right side of the equation. This principle is known as the Law of Conservation of Mass.
The Law of Conservation of Mass states that in a chemical reaction, matter is neither created nor destroyed. This means that the total mass of the reactants must be equal to the total mass of the products. Since molecules are composed of atoms, the number of atoms of each element on the left side of the equation must equal the number of atoms of the same element on the right side of the equation.
To balance a chemical equation, coefficients are placed in front of the chemical formulas to ensure that the number of atoms of each element is the same on both sides of the equation. Balancing the equation ensures that the total number of molecules (or atoms) is conserved, maintaining the principle of the Law of Conservation of Mass. Therefore, in a balanced chemical equation, the number of total molecules on the left side is always equal to the number of total molecules on the right side.
COMPLETE QUESTION:
Balancing chemical equations lab answers is the number of total molecules on the left side of a balanced equation always equal to the number of total molecules on the right side of the equation?
A survey found that 25% of pet owners had their pets bathed proffesionally rather than doing it themselves. If 18 pet owners are randomly selected, the probability that exactly 5 people have their pets bathed proffesionally is
A. 19.99%
B. 19.88%
C. 18.99%
D. 18.88%
Determine whether the variable is qualitative or quantitative. number of flights
A baseball team has three different pitchers. Randy pitched 333 innings and allowed 222 runs, Felix pitched 555 innings and allowed 444 runs, and Johan pitched 777 innings and allowed 555 runs.
Which pitcher has the lowest number of runs allowed per inning?
Answer: the andswer is randy
Step-by-step explanation:
The sum of a number (n) and 20 is 55. Which equation shows this relationship?
Find two numbers, if their sum is (−1/3) and their difference is 18
At the Golden Gopher Mall , 1,300 People Took the Coke/Pepsi Challenge, 55% Of those challenged preferred Coke. how many people selected coke?
Thirty runners compete in a cross country race. your school has five runners in the race. what is the probability that three runners from your school place first, second, and third.
The probability that three runners from the same school finishing first, second, and third can be calculated as the product (5/30) * (4/29) * (3/28). This uses the principles of probability in mathematics.
Explanation:The problem involves the concept of probability in Mathematics. Let's break this question down using the principles of probability.
For the first runner to be from your school, the probability would be 5/30 as there are 5 runners from your school out of 30 total runners. After one runner from your school has won, there are now 4 runners left from your school and 29 total runners left. So, the probability of the second runner being from your school is 4/29. Similarly, the probability that the third runner is also from your school is 3/28 since there are now three left from your school and 28 in total.
The final probability is the product of all three of these probabilities, so:
P(all three top spots are from your school) = (5/30) * (4/29) * (3/28), which needs to be calculated to get the final result.
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The result is 0.00246, or about 0.25% chance.
To find the probability that three runners from your school place first, second, and third in a race with 30 runners, we need to consider the number of ways to select these three positions from your school's five runners and divide it by the total number of ways to select any three runners from all 30 participants.
Calculate the number of ways to choose 3 runners out of the 5 from your school:
[tex]C(5, 3) = \( \frac{5!}{3!(5-3)!} \) = 10[/tex]
Calculate the number of ways to arrange these 3 runners in the first, second, and third positions. This is equal to the number of permutations of 3 elements:
P(3) = 3! = 6
Calculate the total number of ways to choose 3 runners out of the 30 participants:
[tex]C(30, 3) = \( \frac{30!}{3!(30-3)!} \) = 4060[/tex]
Calculate the number of ways to arrange these 3 runners in the first, second, and third positions:
P(3) = 3! = 6
Finally, calculate the probability that 3 runners from your school place first, second, and third:
[tex]Probability = \( \frac{C(5, 3) \times P(3)}{C(30, 3) \times P(3)} \) = \( \frac{10 \times 6}{4060 \times 6} \) = \( \frac{10}{4060} \) = \( \frac{1}{406} \)[/tex]
Thus, the probability is approximately 0.00246 (or 1/406).
Whats the sum 3/x + 4/x^2
Answer:
[tex]\frac{3x+4}{x^2} [/tex]
Step-by-step explanation:
sum of [tex]\frac{3}{x} + \frac{4}{x^2}[/tex]
To find the sum of two fractions we need to make the denominator same
LCD is x^2. we need to get x^2 in the denominator of both fractions
Multiply the first fraction with x
[tex]\frac{3 \cdot x}{ \cdot x} + \frac{4}{x^2}[/tex]
[tex]\frac{3x}{x^2} + \frac{4}{x^2}[/tex]
Denominators are same , now we add the numerators
[tex]\frac{3x+4}{x^2} [/tex]
If $8,500 is deposited in a compound interest account paying 3.9% interest annually, how much will be in the account after 12 years? Round your answer to the nearest cent.
The formula for amount is given by:
[tex] A=P(1+\frac{r}{n})^{nt} [/tex]
Now we are given ,
Principal (P) =$8500
rate (r) =3.9% = 0.039
period of interest (n) =1 for compounded annually
time (t) = 12 years
Plugging these values in the formula,
[tex] A=8500(1+\frac{0.039}{1})^{1*12} [/tex]
Amount =$13452.5773053
Answer : There will be $13452.5773053 in the account after 12 years.
Fill in the table and guess the value of the limit: \lim\limits_{x \to 3} f(x), where f(x)= \frac {x^3 - 27} {x^2 - 9}
Final answer:
To find the limit of f(x) as x approaches 3, factor the numerator and denominator as differences of squares, cancel common terms, and substitute x = 3 into the simplified fraction to get the limit, which is 4.5.
Explanation:
The student's schoolwork question involves calculating the limit of a function as x approaches a certain value. Specifically, the function in question is f(x) = (x^3 - 27) / (x^2 - 9) and the limit to be computed is limx → 3 f(x). To solve this, first recognize that directly substituting x = 3 would result in a 0/0 indeterminate form. To find the limit, we'll use algebraic manipulation.
Since both the numerator and the denominator are differences of squares, factoring them would give (x-3)(x^2+3x+9) for the numerator and (x-3)(x+3) for the denominator. The x-3 terms cancel out, leaving us with x^2+3x+9 over x+3. Now, substituting x = 3 into the simplified fraction will provide the value of the limit.
Calculating the limit step by step:
Original function: f(x) = (x^3 - 27) / (x^2 - 9)
Factor both numerator and denominator: f(x) = [(x-3)(x^2+3x+9)] / [(x-3)(x+3)]
Cancel out (x-3) terms: f(x) = (x^2+3x+9) / (x+3)
Substitute x = 3: f(3) = (3^2+3*3+9) / (3+3) = (9+9+9) / 6 = 27 / 6 = 4.5
Find the absolute maximum and minimum of values of the set
d. f(x,y)= 2x^2+y^2-4x-2y+1 d={(x,y) | 0 <= 3, 0 <= y <= 2}
What are the solutions of the equation x4 + 95x2 – 500 = 0?
Answer:
C
Step-by-step explanation:
x = plus-or-minus StartRoot 5 EndRoot and x = ±10i
ED 2021
An airline sells all tickets for a certain route at the same price. if it charges 250 dollars per ticket it sells 5000 tickets. for every 5 dollars the ticket price is reduced, an extra 500 tickets are sold. it costs the airline a hundred dollars to fly a person. what price will generate the greatest profit for the airline?
Answer:
Scenario II i.e. when the price of ticket is $[tex]$245[/tex] will generate the greatest profit for the airline
Step-by-step explanation:
Scenario I
[tex]5000[/tex] tickets are sold at $ [tex]250[/tex] per ticket
The total money earned by the flight agency is
Number of tickets x price of each tickets
[tex]= 5000 * 250\\[/tex]
[tex]= 1250000[/tex] dollars
Scenario II
The price of each ticket is reduced by $[tex]5[/tex]
The price of new ticket is
[tex]250 -5[/tex]
[tex]= 245[/tex] dollars
The new number of tickets sold after reducing the price is
[tex]5000+ 500\\[/tex]
[tex]5500[/tex]
The total money earned by the flight agency is
Number of tickets x price of each tickets
[tex]5500 * 245\\[/tex]
[tex]1347500[/tex] dollars
Scenario II i.e. when the price of ticket is $[tex]$245[/tex] will generate the greatest profit for the airline
bank discount look at the file please to answer questions
The three-dimensional figure shown consists of a cylinder and a right circular cone. The radius of the base is 10 centimeters. The height of the cylinder is 16 centimeters, and the total height of the figure is 28 centimeters. The slant height of the cone is 13 centimeters. Which choice is the best approximation of the surface area of the figure? Use 3.14 to approximate pi.
This is an incomplete question, here is the complete question.
The three-dimensional figure shown consists of a cylinder and a right circular cone. The radius of the base is 10 centimeters. The height of the cylinder is 16 centimeters, and the total height of the figure is 28 centimeters. The slant height of the cone is 13 centimeters. Which choice is the best approximation of the surface area of the figure? Use 3.14 to approximate pi.
(1) 1727 cm²
(2) 2355 cm²
(3) 2041 cm²
(4) 6699 cm²
Answer : The surface area of the figure is, 1727 cm²
Step-by-step explanation :
The formula for curved surface area of triangle is:
[tex]A=\pi \times r\times l[/tex]
where,
r and l are radius and slant height of triangle.
The formula for curved surface area of cylinder is:
[tex]A=2\pi \times r\times h[/tex]
where,
r and h are radius and height of cylinder.
The formula for area of circle is:
[tex]A=\pi r^2[/tex]
where,
r is radius circle.
Now we have to calculate the surface area of total figure.
Surface area of total figure = Surface area of triangle + Surface area of cylinder + Area of circle
Surface area of total figure = [tex]\pi \times r\times l+2\pi \times r\times h+\pi r^2[/tex]
Surface area of total figure = [tex]\pi \times r(l+2h+r)[/tex]
Given:
r = 10 cm
h = 16 cm
l = 13 cm
Now put all the given values in this formula, we get:
Surface area of total figure = [tex]3.14\times 10\times (13+2\times 16+10)[/tex]
Surface area of total figure = 1727 cm²
Thus, the surface area of the figure is, 1727 cm²
the sales of lawn mowers t years after a particular model is introduced is given by the function y= 5500 in (9t+4) where y is the number of mowers sold how many mowers will be sold 3 years after a model is introduced
Cedric has $0.45 in his pocket which fraction of a dollar does Cedric have
Cedric has 9/20 of a dollar.
Explanation:To find the fraction of a dollar that Cedric has, we need to convert $0.45 into a fraction with a denominator of 100, which represents cents. Since 1 dollar is equal to 100 cents, we can write $0.45 as 45 cents. So, Cedric has 45/100 of a dollar, which can be simplified to 9/20.
What is the volume of the coffee in a can if the can has a radius of 4 inches and a height of 9 inches? (Use 3.14 for π.)
Answer:
452.16 is the answer
Step-by-step explanation:
The Chang's neighbor owns a ready-mix company. The company receives an order for 12.5 cubic yards of concrete. This mixture of concrete contains sand, cement, gravel, and water. For each pound of water, there are 5.5 pounds of sand, 2 pounds of cement, and 7.5 pounds of gravel. Determine how many pounds of cement must be used. Assume a cubic yard of concrete weighs 4,000 pounds.
A pitcher of fruit punch holes 2 gallons of nine people share the entire pitcher equally how much punch does each person get?
A shipment of 20tvs contains 5 that are defective. if 10 of them are randomly chosen for inspection, what is the probability that 2 out of 10 will be defective?
Final answer:
Using the hypergeometric distribution, the probability that exactly 2 out of 10 TVs randomly chosen from a shipment of 20 are defective is approximately 34.81%.
Explanation:
To find the probability that exactly 2 out of 10 randomly chosen TVs are defective, we can use the hypergeometric distribution. This distribution applies because we are dealing with a scenario where we have a finite population (20 TVs) and a non-replacement condition (once a TV is chosen for inspection, it is not put back).
The probability formula for the hypergeometric distribution is:
P(X = k) = [(C(g, k) * C(N-g, n-k)) / C(N, n)]
Where:
C(a, b) is the combination of a items taken b at a time.N is the total number of items in the population (20 TVs).g is the number of defective items in the population (5 defective TVs).n is the number of items chosen (10 TVs inspected).k is the number of defective items we're interested in finding within the chosen items (2 defective TVs).Plugging the numbers into the formula, we have:
P(X = 2) = [(C(5, 2) * C(15, 8)) / C(20, 10)]
P(X = 2) = [(10 * 6435) / 184756]
P(X = 2) = [64350 / 184756] ≈ 0.3481
So, the probability that exactly 2 out of 10 TVs inspected will be defective is approximately 0.3481 or 34.81%.
andy earned $38 on monday and $34 on tuesday.how many lucky bamboo plants can he buy with the total money he earned?
What ratio can be used to covert meters to kilometers A.100km/1m B.1000km/1m C. 1km/1000m D. 1km/10m