The given statement is false, as a fourth degree polynomial with real coefficients -4, 8i,+4i cannot be formed it will form three degree or cubic polynomial as given by f(x) = (x + 4)(x - 8i)(x - 4i)
What is Polynomial ?
Polynomial is an expression that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Polynomials can be classified based on degree as linear, quadratic, cubic, fourth degree.
Let f(x) represent the function with zeros 4, 8i , and 4i. Hence:
x = -4; 8i; x = 4i
x + 4 = 0; x - 8i = 0; x - 4i = 0
f(x) = (x + 4)(x - 8i)(x - 4i)
The three degree polynomial is given by f(x) = (x + 4)(x - 8i)(x - 4i)
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What is -5/12 + (-1/4) + 3/12
need help for this problem
plz thxs
A survey of patients at a hospital classified them by sex and blood type, as shown in the table. What percent of all patients are male?[Round the answer to the nearest tenth of a percent. PLS HURRY LOTS OF POINTS NO GUESSING BRAINLIEST TO!!!!
A) 47.0%
B) 47.8%
C) 53.1%
D) 54.1%
Blood Type Male Female
A 105 93
B 99 84
O 160 140
AB 15 18
Answer:
if you want to know how many males, you have to add all the numbers up :
105 + 93 + 99 + 84 + 160 + 140 + 15 + 18 = 714
and then you divide 714 by all the male numbers 105 + 99 + 160 + 15 = 379
714/379 = 53.08 %
~batmans wife dun dun dun....
What is the volume of a shoe box with length 13 inches, width 7 inches, and height 5 inches? V = lwh in3
A shoe box is in the shape of cuboid.
The formula to find volume of cuboid is given by:
Volume of a cuboid = (length × breadth × height) cubic units.
We are given:
length = 13 inches
width = 7 inches and
height = 5 inches.
Plugging these values in the formula of volume,
Volume of cuboid = L * W * H = 13 *7 *5 = 455 cubic inches.
Answer : The volume of shoe box is 455 cubic inches.
2. A researcher collected data about the favorite car color of a particular population. He asked 250 people about their favorite vehicle color and the survey revealed the following: 32% of people said blue, 24% of people said white, 20% of people said red, 18% of people said black, and 4% of people said silver.
(a) How many people said their favorite vehicle color was red? Explain.
(b) How many more people said their favorite vehicle color was blue compared to those who said white? Explain.
(c) How many people said their favorite vehicle color was either black or silver? Explain.
Answer:
Answer:
(a) 55 (b) 80 and 60 (c) 45 and 10
Step-by-step explanation:
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A bookcase is to have four shelves, including the top. The height of the bookcase is to be 2 feet more than the width and only 20 feet of lumber is available. Use an equation to determine the width and height of the bookcase.
Answer:
Height and width are 2 feet, 4 feet
Step-by-step explanation:
What is the unit rate of x=y/7
The graph shows the number of hours driving and the distance from home: A scatter plot is shown with the title Road Trip. The x-axis is labeled hours driving, and the y-axis is labeled distance from home. Data points are located at 1 and 50, 2 and 125, 3 and 165, 4 and 250, 5 and 300. A line is drawn connecting the coordinate point 1 and 50 to 4 and 250. Which statement best describes the relationship between the number of hours driving and the distance from home? As the hours driving increases, the distance from home decreases. As the hours driving increases, the distance from home increases. As the hours driving decreases, the distance from home increases. No relationship can be determined.
Answer:
B
Step-by-step explanation:
The association is positive linear so that means everything is increasing as the line goes up.
Answer:
As the hours increases the number of distance decreases
Step-by-step explanation:
COMMON KNOWLEDGE?
Evaluate the expression 53 ÷ (13 − 8) × 2.
Numerical Answers Expected!
Answer for Blank 1:
Answer: 21.2
hope this helped
how do i approximate each square root to the nearest tenth
The stem-and-leaf plot lists the number of times different families visit the local zoo each year.
How many families visit the zoo at least 25 times, but fewer than 44 times each year?
Enter your answer in the box.
Answer:
4
Step-by-step explanation:
its 4 just do 4 just do it like nike
What is the base 10 representation of the number 1100110
Answer:
102
Step-by-step explanation:
Hye Sun has a modern coffee table whose top is a triangle with the following side legngths: 8 feet , 3 feet, and 5 feet. Is Hye Sun's coffee table top a tight triangle?
If the endpoints of the diameter of a circle are (−10, −8) and (−6, −2), what is the standard form equation of the circle?
The standard form equation of the circle with endpoints (-10, -8) and (-6, -2) is (x + 8)^2 + (y + 5)^2 = 13.
Explanation:To find the standard form equation of a circle, we need to find the center and the radius. Since the endpoints of the diameter are given, we can find the center by finding the midpoint of the diameter. The x-coordinate of the center is the average of the x-coordinates of the endpoints, and the y-coordinate of the center is the average of the y-coordinates of the endpoints. The radius is half the length of the diameter. Once we have the center and radius, we can plug them into the standard form equation of a circle, which is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.
Step 1: Find the midpoint of the diameter using the formula:
(x, y) = ((x1 + x2) / 2, (y1 + y2) / 2)
(x, y) = ((-10 + -6) / 2, (-8 + -2) / 2) = (-16 / 2, -10 / 2) = (-8, -5)
Step 2: Find the radius by halving the length of the diameter:
Length of the diameter = √((x2 - x1)^2 + (y2 - y1)^2) = √((-6 - -10)^2 + (-2 - -8)^2) = √(16 + 36) = √(52)
Radius = √(52) / 2 = √(13)
Step 3: Plug the center and radius into the standard form equation of a circle:
(x + 8)^2 + (y + 5)^2 = 13
a worker is tiling the floor of a rectangular room that is 12 feet by 15 feet. THe tiles are square with side lengths 1 1/3 feet. How many tiles are needed to cover the entire floor?
Answer:
102 tiles needed to cover the entire floor.
Step-by-step explanation:
Given : A worker is tiling the floor of a rectangular room that is 12 feet by 15 feet. The tiles are square with side lengths [tex]1\frac{1}{3}[/tex] feet.
To find : How many tiles are needed to cover the entire floor?
Solution :
A rectangular room that is 12 feet by 15 feet.
The area of the room is [tex]A=L\times B[/tex]
[tex]A_r=15\times 12[/tex]
[tex]A_r=180\ ft^2[/tex]
The tiles are square with side lengths [tex]1\frac{1}{3}=\frac{4}{3}[/tex] feet.
The area of the tile is [tex]A_t=s^2[/tex]
[tex]A_t=(\frac{4}{3})^2[/tex]
[tex]A_t=\frac{16}{9}\ ft^2[/tex]
Number of tiles needed to cover the entire floor is
[tex]n=\frac{A_r}{A_t}[/tex]
[tex]n=\frac{180}{\frac{16}{9}}[/tex]
[tex]n=\frac{180\times 9}{16}[/tex]
[tex]n=101.25[/tex]
Therefore, Approximately 102 tiles needed to cover the entire floor.
PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)
MATH:a basketball team needs 5 players. The team can choose from a group of 7 players. Explain how to find the number of combinations of players that can be on the team.
Jessie saves $6 each week.In how many weeks will she have saved at least $50
Which relationship describes angles 1 and 2? Select each correct answer.
A. adjacent angles
B. Vertical angles
C. Linear pair
D. Complementary angles
D complementary angles
and
B vertical angles
hope this helps!
Write the equation of a cosine function with the following properties
Evaluate 3+11t-9u
t=9
u=11
Answer:
3
Step-by-step explanation:
Let's substitute t = 9 and u = 11 into the expression.
3+11t−9u
=3+11(9)−9(11)
=3+99-99=3+99−99
=3
Blake bought a 16-ounce soda. He uses a scale and makes four measurements of the can's contents. Which measurement is the most accurate, assuming that the can contains exactly 16 ounces? A)16.02 ounces B)16.022 ounces C)16.0222 ounces D)16.1 ounces
What’s the height of the brace
math class has 6 girls and 2 boys in the seventh grade and 3 girls and five boys in the right grade. the teacher randomly selects a 7th and a 8th grader. What is the probability that the student she selects are both girls
To find the probability of selecting two girls, multiply the probability of selecting a girl from the 7th grade class by the probability of selecting a girl from the 8th grade class.
Explanation:To find the probability that the teacher selects two girls, we need to determine the probability of selecting a girl from the 7th grade class and the probability of selecting a girl from the 8th grade class, and then multiply those probabilities together.
Probability of selecting a girl from the 7th grade class = Number of girls in 7th grade class / Total number of students in 7th grade class = 6 / (6+2) = 6/8 = 3/4 = 0.75
Probability of selecting a girl from the 8th grade class = Number of girls in 8th grade class / Total number of students in 8th grade class = 3 / (3+5) = 3/8 = 0.375
Probability of selecting two girls = Probability of selecting a girl from 7th grade class * Probability of selecting a girl from 8th grade class = 0.75 * 0.375 = 0.28125
Final answer:
The probability of selecting two girls, one from each grade, is 9/32.
Explanation:
The probability of selecting a girl from the seventh-grade class is 6/8, since there are 6 girls out of 8 total students. Similarly, the probability of selecting a girl from the eighth-grade class is 3/8. Since the two events are independent of each other, we can multiply the probabilities to find the probability of selecting a girl from both grades.
So, the probability of selecting a girl from the seventh grade AND a girl from the eighth grade is (6/8) * (3/8) = 18/64 = 9/32.
Therefore, the probability that the teacher selects two girls is 9/32.
What is the time the minutes are 10 more than 20 the hour is the same as4+4+4
Which of these is a symptom of nicotine?
A) Slowed heartbeat
B) Decreased blood pressure
C) Increase oxygen supply to the brain
D) Increase dizziness
A known symptom of nicotine is that it leads to a person having B. Decreased blood pressure
Nicotine is available in cigarettes and is responsible for the addiction that people feel to cigarettes. It has various health effects such as:
Causing loss of appetite Increasing one's risk of brain damage and heart attacks.As a result of it causing a loss of appetite, the person will lose weight and will be unable to produce much blood which would lead to reduced blood pressure.
In conclusion, nicotine can lead to decreased blood pressure.
Find out more at https://brainly.com/question/11174442.
Aaron wants to divide the trail mix equally into 6 bags to give to his friends.How much trail mix will be in each bag?
John walks 1 mile west. Then he turns north and walks another 2 miles before he stops to rest. How far is John from his starting point when he stops to rest? Round your answer to the nearest tenth.
SOMEONE EXPLAIN HOW TO DO THIS???
a cell phone company has a basic monthly plan of $40plus $0.45 for many minutes ised over 700. John was charged a total of $48.10. Write an equation to determine how many minutes he must have used during the month.