Frank owns 300 acres of land. If he divides the land into 1/2 acre plots, how many plots will he have?
the distance between bay town and oak glen is 175 miles. if the equation y=-x+175 represents the distance left to travel to oak glen, what does the domain represent? what is the domain?
a) time left to reach oak glen; x>0
b) distance left to reach oak glen; x>0
c) time it takes to travel oak glen; x>0
d) distance traveled since leaving bay town; x>0
The correct option is D, distance traveled since leaving bay town; x>0.
What is the domain and range of a function?The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.
Given that the distance between bay town and oak glen is 175 miles. If the equation y=-x+175 represents the distance left to travel to oak glen.
Since the distance left to travel to oak glen can be 0 this will be when you reach Oak glen, while the minimum will be when the journey is just started and you haven't travelled even a single mile.
Therefore, the domain of the function is from 0 to 175, and the domain represents the distance traveled since leaving the bay town.
Hence, the correct option is D, distance traveled since leaving bay town; x>0.
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The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7. if in the last game he made 77 assists, how many standard deviations is that from the mean? 1.36 standard deviations below the mean 2.71 standard deviations above the mean 1.36 standard deviations above the mean 2.71 standard deviations below the mean
Answer:
(B)
Step-by-step explanation:
It is given that The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7.
Also, in the last game he made 77 assists, therefore
[tex]77-58=19[/tex] assists away from the mean.
Thus, To get the number of standard deviation that 77 is from the mean, we get the z-score which is given as:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Substituting the given values, we get
[tex]z=\frac{77-58}{7}[/tex]
[tex]z=\frac{19}{7}[/tex]
[tex]z=2.71[/tex]
Thus, there are 2.71 standard deviations above the mean.
Hence, option B is correct.
1. In the figure, m DE = 106 degrees and m BC = 62 degrees. The diagram is not to scale.
What is m< A?
A) 44 degrees
B) 22 degrees
C) 75 degrees
D) 85 degrees
2. In the figure, m AB = 45 degrees and m CD = 23 degrees. The diagram is not drawn to scale.
What is the value of x?
A) 34 degrees
B) 56.5 degrees
C) 22 degrees
D)68 degrees
Can someone please check my work and tell me if I'm correct or not and explain.
The measure of the missing angles in both instances is; m∠A = 22 degrees and x = 34 degrees
How to find the angles in the triangle?
1) For question 1, the formula for the missing angle from triangle is;
m∠A = ¹/₂(∠DE - ∠BC).
Thus;
m∠A = ¹/₂(106 - 62).
m∠A = 44/2
m∠A = 22 degrees
2) To get the missing angle, we will use the formula;
x = ¹/₂(AB + CD)
This is because the measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
x = ¹/₂(45 + 23)
x = 34 degrees
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A tree's root is 9 feet below ground and spans a radius of 6 feet. If the total length of the tree from root tip to top is 23 feet, what is the tree's elevation above ground?
a. 14 feet
b. 17 feet
c. 26 feet
d. 32 feet
The measure of arc QS is (4x – 18)°.
What is the value of x?
40.5
49.5
94.5
180
ANSWER IS 49.5
Answer:
Option B. 49.5 degrees
Step-by-step explanation:
Given that arc QS measures 4x-18
Arc QS is a semicircle and hence subtended angle by semicircle at the centre is 180 degrees.
Use this to find the value of x
4x-18 = 180 degrees
Add 18 to both sides
4x=198
Divide by 4
x =198/4 =49.5
So answer is option B
49.5 degrees
Answer:
49.5
Step-by-step explanation:
What is the total amount and the amount of interest earned on $6,500 at 6% for 25 years?
To calculate the total amount and interest earned on $6,500 at 6% simple interest for 25 years, you use the formula I = P × r × t, which gives you interest (I) of $9,750. Adding the interest to the principal, the total amount after 25 years is $16,250.
To calculate the total amount and the interest earned on $6,500 at a simple interest rate of 6% for 25 years, we can use the simple interest formula:
I = P × r × t
Where:
I is the interestP is the principal amount ($6,500)r is the annual interest rate (6%, or 0.06)t is the time in years (25)Using this formula:
I = $6,500 × 0.06 × 25
I = $9,750
The total amount after 25 years will be the principal plus the interest:
Total Amount = P + I
Total Amount = $6,500 + $9,750
Total Amount = $16,250
The interest earned on the investment after 25 years is $9,750.
How to find an area of a circumbscribed hexagon using the diameter?
Which graph represents g(x)=(x−3)2−5 ?
The graph of g(x) = (x-3)^2 - 5 is a parabola that opens upwards. The vertex is located at (3, -5) and the function values are negative when x is less than 3.
Explanation:The graph of the equation g(x) = (x-3)^2 - 5 is a parabola. The vertex of the parabola is located at the point (3, -5), and the parabola opens upwards because the coefficient of the quadratic term is positive. When x is less than 3, the function values are negative, and when x is greater than 3, the function values are positive.
Write an equation of the graph:
y = |x| translated two units downward
y = |x| - 1 is the answer
ur mom
Graph BCD with vertices.
The length of a rectangular floor is 2 feet more than its width. The area of the floor is 168 square feet. Kim wants to use a rug in the middle of the room and leave a 2-foot border of the floor visible on all sides. What should the length (the longer side) of the rug be?
Compute the sales tax on the following transactions. An article retails for $37.50. The city sales tax is 6%, and the federal excise tax is 8%. How much does the article cost altogether?
The article will cost altogether:
$ 42.75
Step-by-step explanation:It is given that:
The retail price of the article is: $ 37.50.
Also, the article will hold a city tax of 6% and a federal excise tax of 8%.
Hence, the total percent tax on article is: 6+8=14%
This means that the cost price of the article is:
Retail Price of article+14% of retail price.
= 37.50+14% of 37.50
= 37.50+0.14×37.50
= 37.50+5.25
= 42.75
Hence, the article will cost: $ 42.75
a man made lake is stocked with 10,000 fish. This population is expected to decline by an annual rate of 15%. Predict the fish population 5 years after the lake is stocked
The population will be approximately 4,437 fish after 5 years.
To predict the fish population 5 years after the lake is stocked,
We can use the formula for exponential decay:
[tex]\[ P = P_0 \times (1 - r)^t \][/tex]
Where:
P is the final population[tex]\( P_0 \)[/tex] is the initial populationr is the annual rate of decline (expressed as a decimal)t is the number of yearsGiven:
[tex]\( P_0[/tex] = 10,000 (initial population)r = 0.15 (annual rate of decline, expressed as 15% or 0.15)t = 5 (number of years)Substituting the values into the formula:
[tex]\[ P = 10,000 \times (1 - 0.15)^5 \][/tex]
[tex]\[ P = 10,000 \times (0.85)^5 \][/tex]
Calculating:
P ≈ 10,000 × 0.443705
P ≈ 4437.05
So, the fish population 5 years after the lake is stocked is approximately 4437 fish.
Trey's mom planted an 18 feet by 20 feet garden in his back yard. this new garden reduced the area of trey's backyard by 24%. which answer choice best represents the total area of the back yard
The garden area is given by:
[tex] A = (18) * (20)
A = 360
[/tex]
We are looking for the backyard area now.
For this, we make the following rule of three:
360 ---------------------> 24%
x -------------------------> 100%
From here, we must clear the value of x.
We have then:
[tex] x = (100/24) * (360)
x = 1500 ft ^ 2
[/tex]
Answer:
The total area of the back yard is:
[tex] x = 1500 ft ^ 2 [/tex]
I am struggling with Parts B and D of this calculus question. I think that Parts A and C are OK. I wonder if Parts B and D require the graph that I drew for Part A?
The greatest common factor of 24and 36 is the least common multiple of a pair of numbers.which two number could they be ? Pls make sure to explain this specifically!!
A.3 and 6
B.4 and 6
C.8 and 9
D.8 and 12
Bryant collects a set of 20 data representing the lengths of worms he found in the garden. The variance of the set of measurements is 36. What is the standard deviation from the mean? _____ millimeters
Finish the pattern, 1, 2, 6, 22, __, __?
The path of a rocket ship is given by the parametric equations x(t)=3t and y(t)=4t^2+1, where t is the time in seconds after launch. Where is the ship after 10 seconds?
A.) (3,4)
B.) (3,5)
C.) (30,401)
D.) (30,501)
which statement most accurately explains why x^5/x^2 is equal to x^3?
You play darts with a friend. The board is a circle with a 6-inch radius. The “Bull’s Eye” is a smaller circle in the center of the board with an 0.25-inch radius. You throw darts (small metal arrows) at the board. At the end of six weeks, she has thrown 500 darts. She hit the board every time and hit the Bull’s Eye 1 time If you throw 500 darts, how many times should you expect to hit the Bull’s Eye by random chance? Compare this result to your friend’s result. Is she a skilled player for hitting the bull’s eye or is the result of hers expected?
Each letter of the alphabet is written on a piece of paper and put in a hat. If a piece of paper is chosen at random, what is the probability that it will be a vowel?
The number of favorable outcomes is .
The number of possible outcomes is .
So P(vowel) = , or about percent.
The probability of pulling a vowel out of the hat is [tex]\frac{5}{26}[/tex]
The number of favorable outcomes is [tex]5[/tex]
The number of possible outcomes is [tex]26[/tex]
The number of possible outcomes is the size of the sample space.
Since the sample space
[tex]S=\{\text{all the letters of the alphabet in the hat}\}[/tex]
then, the number of possible outcomes is
[tex]|S|=26[/tex]
The number of favorable outcomes is possible number of vowels that can be gotten from the hat. Since the set of vowels
[tex]V=\{a,e,i,o,u\}[/tex]
then, the number of favorable outcomes is
[tex]|V|=5[/tex]
The probability of pulling a vowel out of the hat
[tex]P(V)=\frac{\text{number of favorable outcomes}}{number of possible outcomes}=\frac{5}{26}[/tex]
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Find the geometric mean of 125 and 5.
Elijah is going to spin a spinner 180 times. mc008-1.jpg He predicts that 60 of those spins will result in the spinner landing on the section labeled 3. Based on the theoretical probability, which best describes Elijah’s prediction?
Answer:
its C on Edge
Answer:c
Step-by-step explanation:
Please help me with this
Two rafts are traveling In opposite directions on a straight river. The raft going with the current is traveling at a speed of 12 mph. The raft going against the current is traveling at a speed of 70 miles per hour. Both rafts travel the river for two hours. Which equation represents the situation? Assume the raft traveling with the current travels X miles in the raft traveling against the current travels y miles.
A. 12/x - 7/y = 1/2
B. 12x + 7y = 2
C. x/12 - y/7 = 2
D. x/12 + y/7 = 4
E. 12x + 7y = 4
Factor x2 – 8x + 15.
Which pair of numbers has a product of ac and a sum of b?
Is Part A correct? And can someone please help me with part B? (Highlighted)
A test consists of 10
a. True
b. False questions. to pass the test a student must answer at least 9 questions correctly. if a student guesses on each question, what is the probability that the student will pass the test?