Use graph paper to draw the figure. The set of points (2, 3), (9, 3), (9, –2), and (2, –2) identifies the vertices of a quadrilateral. Which is the most specific description to tell which figure the points form?
A) Parallelogram
B) Square
C) Rectangle
D) Trapezoid
What is the sum of the measures of < 1 and < 2?
180°
118°
236°
59°
Answer:
118
Step-by-step explanation:
Class records at rockwood college indicate that a student selected at random has probability 0.75 of passing french 101. for the student who passes french 101, the probability is 0.91 that he or she will pass french 102. what is the probability that a student selected at random will pass both french 101 and french 102? (round your answer to three decimal places.)
To get the probability of two individual events both occurring, you have to multiply the probabilities of their individual events occurring. Therefore in this problem, the probability that a student selected at random will pass both French 101 and French 102 is 0.683 (.75 x .91). The answer is already rounded to three decimal places.
what is the answer please
At a tennis event, 10% of a player's score is based on serves, 40% on return balls, and 50% on wins. Kyle makes 85% of his serves, returns 70% of the balls, and wins 75% of his games. What is Kyle's score at the tennis event? Enter your answer in the box.
Mariah collects 3 spiders each spider has eight legs.Brian gives her 1more spider. how many legs do Mariah's spiders have altogether?
Greek architects considered a rectangle whose length was approximately 1.6 times its width to be the most visually appealing. find the length and width of a rectangle constructed in this manner if the sum of the length and width is 130ft
Final answer:
The length and width of the rectangle constructed in this manner are approximately 64ft and 40ft respectively.
Explanation:
To find the length and width of a rectangle constructed in this manner, we can use the given information that the length is approximately 1.6 times the width and the sum of the length and width is 130ft.
Let's say the width is represented by 'w', then the length would be approximately 1.6w.
Based on the given conditions, we can write an equation: w + 1.6w = 130ft. Solving this equation, we get w = 40ft and the length is approximately 64ft.
For each of the following determine the 1-unit growth factor.
The 1-unit percent change is -56.25%.
Please help explain so I can figure one out and do the rest on my own. Thanks!
A 1-unit growth factor with a -56.25% change means the quantity decreases by 43.75% when it decreases by 1 unit, resulting in a factor of 0.4375.
The 1-unit growth factor represents the factor by which a quantity changes when it increases by 1 unit.
A 1-unit percent change of -56.25%. A negative percent change indicates a decrease rather than an increase.
To find the 1-unit growth factor when the percent change is -56.25%,
use the formula:
Growth Factor = Final value / Initial value
let's assume the initial value is "I" and the final value is "F."
The percent change of -56.25% means that the final value is 56.25% less than the initial value, or 43.75% of the initial value remains:
F = I - 0.5625I
= 0.4375I
Now, calculate the growth factor:
Growth Factor
= Final value / Initial value
= F /I
= 0.4375I /I
=0.4375
Therefore, the 1-unit growth factor when the percent change is -56.25% is 0.4375, which indicates a decrease of 43.75% when the quantity decreases by 1 unit.
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Your friend scores a 22.5 on a normally distributed new logic test with a mean of 20 and a standard deviation of 2.5, and you're confident that 13.59% of people are more logical than your friend but not as logical as you. if you're really as smart as you think you are, what would you score on the test?
You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 15 buns, 21 defrosted beef patties, and 17 opened cheese slices. Rather than throw them out, you decide to use them to make burgers that you will sell at a discount. Plain burgers each require 1 beef patty and 1 bun, double cheeseburgers each require 2 beef patties, 1 bun, and 2 slices of cheese, while regular cheeseburgers each require 1 beef patty, 1 bun, and 1 slice of cheese. How many of each should you make? plain burgers:______ double cheeseburgers:_______ regular cheeseburgers:_______
Final answer:
To use the ingredients efficiently, the franchise should make 4 plain burgers, 8 double cheeseburgers, and 1 regular cheeseburger, effectively utilizing all available buns, beef patties, and cheese slices.
Explanation:
To solve the problem of how many plain burgers, double cheeseburgers, and regular cheeseburgers you should make, you need to consider the ingredients as your limiting factors. Starting with the resources available: 15 buns, 21 beef patties, and 17 cheese slices. The recipes are as follows: plain burgers require 1 beef patty and 1 bun; double cheeseburgers require 2 beef patties, 2 cheese slices, and 1 bun; regular cheeseburgers require 1 beef patty, 1 cheese slice, and 1 bun.
First, notice that the number of buns is the overall limiting factor for the maximum number of burgers you can make, which is 15.Second, consider maximizing the use of cheese slices by making as many double cheeseburgers as possible, which would be 8 (consuming 16 beef patties and 16 cheese slices, leaving 5 buns, 5 beef patties, and 1 cheese slice).With the leftovers, you can make 1 regular cheeseburger (using 1 more beef patty, 1 cheese slice, and 1 bun) and then 4 plain burgers with the remaining 4 beef patties and buns.Therefore, you should make 4 plain burgers, 8 double cheeseburgers, and 1 regular cheeseburger to utilize the ingredients efficiently without waste.
What is ∑n=18(3n−1) equal to? The top number is 8 bottom is n=1
The total value of the sum is 1800.
What is Addition?Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.
The process of doing addition is also called as finding the sum.
The given is,
∑n=18(3n−1)
The top number is 8 and the bottom number is 1.
Finding the sum,
Sum = [18(3 - 1)] + [18(6 - 1)] + [18(9 - 1)] + [18(12 - 1)] + [18(15 - 1)] + [18(18 - 1)] + [18(21 - 1)] + [18(24 - 1)]
= 36 + 90 + 144 + 198 + 252 + 306 + 360 + 414
= 1800
Hence the value of the sum is 1800.
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Suppose that in 2005, 894,700 citizens died of a certain disease. Assuming the population of the country us 302 million, what was the mortality rate in units of deaths per 100,000 people?
3x+2y=6 and y=-3/2x+5
explain how you would take a survey to find your classmates favorite shirt color
Which expressions are polynomials?
Answer:
z+1 , 6 + w and [tex]2x^{4}+4[/tex] are polynomials.
Step-by-step explanation:
Given : Expressions.
To find: Which expressions are polynomials.
Solution : We have given expression
Polynomial : A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer.
So, z + 1 having variable z and contact 1 so, it is a polynomial.
6 + w is also a polynomial.
[tex]2x^{4}+4[/tex] is also a polynomial that has degree 4 .
But expression [tex]y^{2}-\sqrt[1]{y}+4[/tex] is not a polynomial because it has fractional exponent.
Therefore, z+1 , 6 + w and [tex]2x^{4}+4[/tex] are polynomials.
jen collects toy sports cars. she has 1568 orange cars and 448 blue cars. she wants to line up the cars in groups so that each group has the same number of cars and contains only orange cars or only blue cars. What is the largest number of cars that she can have in a group?
Answer:
224 cars.
Step-by-step explanation:
We have been given that Jen has 1568 orange cars and 448 blue cars. she wants to line up the cars in groups so that each group has the same number of cars and contains only orange cars or only blue cars.
To solve our given problem, we will find greatest common factor of 1568 and 448.
Prime factorization of 1568: [tex]2\times 2 \times 2\times2\times2\times7\times7[/tex]
Prime factorization of 448: [tex]2\times 2 \times 2\times2\times2\times2\times7[/tex]
We can see that 448 and 1568 is [tex]2\times 2 \times 2\times2\times2\times7=224[/tex]
Therefore, each group will have 224 cars.
A tortoise is walking in the desert. It walks 12.5 meters in 5 minutes. What is its speed?
The speed of tortoise with the given distance and time is 2.5 meters per minute.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Given that, distance =12.5 meters and time =5 minutes.
We know that, Speed =Distance/Time
= 12.5/5
= 2.5 meters per minute
Hence, the speed of tortoise is 2.5 meters per minute.
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if a seed is planted it has a 75% chance of growing into a healthy plant. If 7 seeds are planted what is the probability that exactly 4 don't grow
Older Orchards need more hives per acre Caleb has decided to place 6 hives for every 2 acres on an older peach orchard Zeke one of Caleb workers delivery 10 hives to a 30 acre peach orchard did Zeke follow Calebs decision.how does the table prove your answer.
Don't do a table
One root of f(x)=x^3-9x^2+26x-24 is x = 2. What are all the roots of the function?
Answer:
Solutions are[tex]x_{1}=4\\x_{2}=2\\ x_{3}=3[/tex]
Step-by-step explanation:
The given expression is
[tex]f(x)=x^{3}-9x^{2} +26x-24[/tex]
First, we need the divisors of the independent term, which is 24.
24 divisors: 1, 2, 3, 4, 6, 8, 12, 24.
Now, we replace each divisor in the function, and those which gives zero as result, those are gonna be the roots of the equation.
For [tex]x=1[/tex]
[tex]f(1)=(1)^{3}-9(1)^{2} +26(1)-24=1-9+26-24=-6[/tex]
This means [tex]x=1[/tex] is not a solution.
For [tex]x=2[/tex]
[tex]f(2)=(2)^{3}-9(2)^{2} +26(2)-24=8-36+52-24=0[/tex]
So, [tex]x=2[/tex] is the first solution.
For [tex]x=3[/tex]
[tex]f(3)=(3)^{3}-9(3)^{2} +26(3)-24=27-81+78-24=0[/tex]
It's solution.
For [tex]x=4[/tex]
[tex]f(4)=(4)^{3}-9(4)^{2} +26(4)-24=64-144+104-24=0[/tex]
Therefore, all roots are
[tex]x_{1}=4\\x_{2}=2\\ x_{3}=3[/tex]
What is 7% of $20.00?
The boy the apartment building is filling a pool 30 ft long 20 feet wide and 5 feet deep it has been filled 4 ft deep how many more cubic feet of water are needed to finish filling the pool
If guy walks from his house to school which is 5/10 away and back, how far does he walk?
Hello there!
Can I get some help? Don't forget to show your work :)
Thanks!
Evaluate a) log^3 81 b) log^25 5
A runner ran 2/3 of a 5 kilometer race in 21 minutes. They ran the entire race at a constant speed.
a. How long did it take to run the entire race?
b. How many minutes did it take to run 1 kilometer?
Answer:
it take 31.53 minutes to run the entire race
it take 6.3 minutes to run the 1 km
Step-by-step explanation:
A runner ran 2/3 of a 5 kilometer race in 21 minutes. They ran the entire race at a constant speed.
[tex]\frac{2}{3} \cdot 5= \frac{10}{3}[/tex]
3.33 km is covered in 21 minutes
So 5 km is covered in [tex]\frac{5 \cdot 21}{3.33}=31.53[/tex]minutes
it take 31.53 minutes to run the entire race
[tex] \frac{10}{3}[/tex] km is covered in 21 minutes
1 km is covered in [tex]\frac{21}{\frac{10}{3} } =6.3[/tex]
It takes to run the entire race is 31 minutes and 30 seconds and it takes to run 1 kilometer is 6 minutes and 18 seconds.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
[tex]\rm speed = \dfrac{distance}{time}[/tex]
A runner ran 2/3 of a 5 kilometers race in 21 minutes. They ran the entire race at a constant speed.
2/3 of 5 km is given as x
[tex]x = \dfrac{2}{3}* 5 = \dfrac{10}{3}[/tex]
Then the speed will be
[tex]\rm speed = \dfrac{\frac{10}{3}}{21} = \dfrac{10}{3*21} = \dfrac{10}{63}[/tex]
a. It takes to run the entire race will be
[tex]\rm Time = \dfrac{5}{ \frac{10}{63}} = \dfrac{63* 5 }{10} =31.5[/tex]
It takes to run the entire race is 31 minutes and 30 seconds.
B. It takes to run 1 kilometer will be
[tex]\rm Time = \dfrac{1}{ \frac{10}{63}} = \dfrac{63* 1}{10} = 6.3[/tex]
It takes to run 1 kilometer is 6 minutes and 18 seconds.
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On Monday, the office staff at your school paid $8.77 for 4 cups of coffee and 7 bagels. On Wednesday, they paid $15.80 for 8 cups of coffee and 14 bagels. Can you determine the cost of a bagel? Explain.
What is the 13th term of the following arithmetic sequence?
5, 9, 13, 17,
How much Will be left after
45 hours if an isotope has a half life of 15 hours and you have 371 MGS
After 45 hours, approximately 46.375 mg of the isotope will be left, given its half-life is 15 hours. This was determined by calculating the amount remaining after each of three half-lives. Each half-life reduces the amount by half.
To determine how much of the isotope is left after 45 hours, we need to use the concept of half-life. The half-life of the isotope is 15 hours. This means that every 15 hours, half of the isotope decays. We start with 371 mg.
First, calculate how many half-lives have passed:
45 hours / 15 hours per half-life = 3 half-livesAfter each half-life, the amount of isotope remaining is halved:
After the first half-life (15 hours): 371 mg / 2 = 185.5 mgAfter the second half-life (30 hours): 185.5 mg / 2 = 92.75 mgAfter the third half-life (45 hours): 92.75 mg / 2 = 46.375 mgTherefore, after 45 hours, approximately 46.375 mg of the isotope will be left.
The number of diagonals in any polygon is whole number. But on the other side the formula of the number of diagonals in any convex polygon is in a fraction form \frac{n(n-3)}{2[tex] . How can you explain this?