Answer:
Step-by-step explanation:
Given p(2) = 14 and p(-3) = 0, according to factor theorem, if a polynomial p(x) is divided by a function x+c where c is a constant, then x+c is said to be a factor of p(x) if p(-c) = 0 i.e if the remainder is zero after the division.
According to the question, it can be seen that p(-3) = 0. This means that the function x+3 is said to be factor if the remainder of the polynomial is zero when divided the polynomial because the reminder leaves zero after division where c = 3
A cylinder has a base diameter of 8ft and a height of 20ft. What is its volume in cubic ft, to the nearest tenths place?
The volume of a cylinder with a base diameter of 8ft and height of 20ft is approximately 1005.3 cubic feet.
Explanation:The volume of a cylinder can be calculated using the formula Volume = πr²h where π represents approximately the number 3.14, 'r' signifies the radius of the cylinder, and 'h' denotes the height of the cylinder.
In this case, the diameter of the cylinder is given as 8 feet, so the radius will be half of that which is 4 feet. The height is specified as 20 feet.
Substitute these values into the equation:
Volume = π * (4 ft)² * 20 ft
This simplifies to:
Volume = 3.14 * 16ft² * 20ft
By multiplying these values, we get the volume equals the product of these numbers:
Volume ≈ 1005.3 cubic ft. Hence, the volume of this cylinder to the nearest tenths is 1005.3 cubic feet.
Learn more about Volume of a cylinderhttps://brainly.in/question/51115062
SPJ3
The volume of a cylinder with an 8ft diameter and 20ft height is approximately 1005.3 cubic feet, rounded to the nearest tenths place.
To calculate the volume of a cylinder, we use the formula V = πr²h, where V represents the volume, r is the radius of the cylinder's base, and h is the height of the cylinder. Given that the diameter of the cylinder is 8ft, the radius is half of the diameter, which is 4ft. Now, using the formula:
V = πr²h
V = π(4ft)² × 20ft
V = π16ft² × 20ft
V = π 320ft³
V = 1005.31ft³
Therefore, the volume of the cylinder is approximately 1005.3 cubic feet, rounded to the nearest tenths place.
Jared uses 24 tiles to cover the top of his desk. Of the 24 tiles, 3/8 are blue. How many of the tiles are blue?
Answer:
9
Step-by-step explanation:
Multiply the total number of tiles by the fraction of tiles that are blue
24 *3/8
24/8 *3
3*3
9
bradly has 10 apples he gives 2 apples to tuimmy. how many apples does timmy have?
Answer:
Timmy should have 2 apples
Step-by-step explanation:
Answer: 8 apples
Step-by-step explanation:
10-2=8
you have to subtract the whole by the part the get the other part that equals the whole
Which statement about histograms is true?
-Data is organized in categories
-Data appears as bars that are all about the same height
-Data is organized in equal intervals
-Data appears as bars that do not touch
Answer:
The third one is correct, the others bend the truth as they can touch but not overlap. As the third one states 'They are organized in equal intervals.' this means they share an equal growth opportunity within their own column, their own height and nominated place within the histogram. The bars are of equal width and correspond to the equal class intervals. But on rare occasions like size classes they can be shown as a wider variant within their groups. Example would be showing a wider column say on classes at a school as the width and data being achieved forces a true event of variant sizes in education upon the base of the graph, this rarely applies to staff graphs as planning for schools is a wider data share than say offices using these types of graphs. Work development would use just data percentages along with the frequencies is one example so group size are stated in the reports to support more specific data in the graphs instead.
Step-by-step explanation:
To display numerical data that has been organized into equal intervals. The bars should touch the adjacent bars but not overlap. These intervals allow you to see the frequency distribution of the data, or how many pieces of data are in each interval.
Answer:
c
Step-by-step explanation:
f(x) = 1/2 x - 5 What is f(6)?
Answer:
-2
Step-by-step explanation:
The value of f(6) for the function f(x) = 1/2 x - 5 will be -2.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
In other terms, a function is a relationship between variables, and the type of relationship that exists between the variables defines the function, such as y = sinx and y = x +6.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
Given the function
f(x) = 1/2 x - 5
value of function at x = 6
f(6) = (1/2)6 - 5
f(6) = 3 - 5 = -2
Hence, value of function f(x) at x = 6 will be -2.
For more about the function
brainly.com/question/23712366
#SPJ2
A special form of the ellipse is called?
A circle is a special form of an ellipse, occurring when both focal points of an ellipse coincide at one point, making its eccentricity zero.
A special form of the ellipse is called a circle. This occurs when the two focal points of an ellipse coincide at a single point, which is also the center of the circle. In mathematical terms, an ellipse whose equation is scaled down in one direction, transforming it into x² + y² = a², represents a circle with center at the origin and radius a.
Kepler's first law regarding planetary orbits also refers to this special case of an ellipse. It states that planets follow an elliptical path with the Sun at one of its focal points. When both focal points are at the same location, indicative of zero eccentricity, the orbit is not elliptical but circular.
The properties of an ellipse are crucial in understanding celestial mechanics and orbits, reflecting the significance of this special case in both mathematics and astronomy.
The diameter of a circle is 8 inches. What is the area?
8 pi inches squared
16 pi inches squared
32 pi inches squared
64 pi inches squared
Answer:
1 6 p i s q u a r e s i s m y f i n a l a n s w e r ! ! ! y o u r w e l c o m e
will give brainiest plz helppppppppp!!!!!!!
Answer:
549.16
Step-by-step explanation:
83.08/pi=diameter (26.44)
26.44 / 2 = 13.22 (radius)
area=3.14*(13.22)^2
Answer:
The answer is 550
Step-by-step explanation:
83.08/pi=diameter (26.44)
26.44 / 2 = 13.22 (radius)
area=3.14*(13.22)^2
Mary bakes a chocolate cake, a vanilla cake, and a strawberry cake. Each cake is the same size. Angela eats four-eighths of the chocolate cake, two-eighths of the vanilla cake, and two-fourths of the strawberry cake. David eats one-fourth of the chocolate cake, three-eighths of the vanilla cake, and one-half of the strawberry cake. Who eats more cake, Angela or David? How much more cake? How much of each cake is left? Show all your mathematical thinking.
After Angela and David eat their portions, there is [tex]\( \frac{1}{4} \)[/tex] of the chocolate cake, [tex]\( \frac{3}{8} \)[/tex] of the vanilla cake, and [tex]\( \frac{1}{4} \)[/tex] of the strawberry cake left.
To compare how much cake Angela and David eat, let's calculate the total fraction of each cake consumed by each person:
For Angela:
- Chocolate cake: [tex]\( \frac{4}{8} = \frac{1}{2} \)[/tex]
- Vanilla cake: [tex]\( \frac{2}{8} = \frac{1}{4} \)[/tex]
- Strawberry cake: [tex]\( \frac{2}{4} = \frac{1}{2} \)[/tex]
Total cake eaten by Angela: [tex]\( \frac{1}{2} + \frac{1}{4} + \frac{1}{2} = \frac{5}{4} \)[/tex]
For David:
- Chocolate cake: [tex]\( \frac{1}{4} \)[/tex]
- Vanilla cake: [tex]\( \frac{3}{8} \)[/tex]
- Strawberry cake: [tex]\( \frac{1}{2} \)[/tex]
Total cake eaten by David: [tex]\( \frac{1}{4} + \frac{3}{8} + \frac{1}{2} = \frac{13}{8} \)[/tex]
Since [tex]\( \frac{13}{8} > \frac{5}{4} \),[/tex] David eats more cake than Angela.
To find out how much more cake David eats:
- David eats [tex]\( \frac{13}{8} - \frac{5}{4} = \frac{13}{8} - \frac{10}{8} = \frac{3}{8} \)[/tex] more cake.
To calculate how much of each cake is left:
- Chocolate cake: [tex]\( 1 - \frac{4}{8} - \frac{1}{4} = \frac{1}{4} \)[/tex]
- Vanilla cake: [tex]\( 1 - \frac{2}{8} - \frac{3}{8} = \frac{3}{8} \)[/tex]
- Strawberry cake: [tex]\( 1 - \frac{2}{4} - \frac{1}{2} = \frac{1}{4} \)[/tex]
So, after Angela and David eat their portions, there is [tex]\( \frac{1}{4} \)[/tex] of the chocolate cake, [tex]\( \frac{3}{8} \)[/tex] of the vanilla cake, and [tex]\( \frac{1}{4} \)[/tex] of the strawberry cake left.
how many times larger is 2000 than 2
Answer:
1000 times
Step-by-step explanation:
2000/2=1000
To be sure check
2x1000=2000
To find out how many times larger 2000 is than 2, you simply divide 2000 by 2. This results in 2000 being 1000 times larger than 2.
Explanation:The question wants to know how many times larger 2000 is than 2. To find this, we simply divide 2000 by 2. The reason we divide is because division allows us to see how many times one number fits into another. In this case, when we divide 2000 by 2, we get 1000. Therefore, 2000 is 1000 times larger than 2.
Learn more about Mathematics Division here:https://brainly.com/question/34162510
#SPJ3
A mass of 6 g of Carbon contains
Answer:
try half a mole or 3.01 x 10^23 atoms of it.
Step-by-step explanation:
because 12g of carbon cas 1 mole so 6 would have 0.5 : )
the volume of a rectangular dog kennel is modeled by the polynomial x3 +14x2 +60+72. If the height of the kennel is modeled by (x+2) and the length and width are equal to each other, what expression could represent the dog kennel
The expression could represent the dog kennel is (x + 2)(x + 6)²
What expression could represent the dog kennel
From the question, we have the following parameters that can be used in our computation:
Volume = x³ + 14x² + 60x + 72
Height = x + 2
Dividing the Volume by the Height , we have
x² + 12x+ 36
x + 2 | x³ + 14x² + 60x + 72
x³ + 2x²
--------------------------------------------------------
12x² + 60x + 72
12x² + 24x
--------------------------------------------------------
36x + 72
36x + 72
--------------------------------------------------------
0
So, we have
x³ + 14x² + 60x + 72 = (x + 2)(x² + 12x+ 36)
Expand
x³ + 14x² + 60x + 72 = (x + 2)(x + 6)²
Hence, the expression could represent the dog kennel is (x + 2)(x + 6)²
Mrs. Durham purchases turkey from the deli counter for $3.25 per pound. She also purchases a loaf of bread from the bakery for$4.50. What equation can be used to represent the total cost, c, of Mrs. Durham’s purchase of bread and t pounds of turkey?
- Match each sentence with the appropriate equation.
a. x + (x + 2) = 24
1. The sum of two consecutive even integers is
24.
b. x + (x + 1) = 25
2. 5 less than the sum of a number and two is
25.
C. X + 2 = 24
3. The sum of a number and two is 24.
d. (x + 2) - 5 = 25
4. The sum of two consecutive integers is 25.
Step-by-step explanation:
[tex]a \: \: \: \: 1 \\ \\ b \: \: \: \: 4 \\ \\ c \: \: \: \: 3 \\ \\ d \: \: \: \: 2[/tex]
to find the area of triangle abc, Jen first drew a square around the figure. two sides of the square passed through the points B and C. the other two sides met at point A. draw Jens square, and explain how you can use it to find the area of triangle ABC
Answer:
s²/2
Step-by-step explanation:
Area of square = 2 triangles
Find the area of the square using s²
For area of the triangle, divide by 2
The area of Jens square and the area of the triangle is A = ( 1/2 )s²
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of sides of the triangle are
AB = AC = s
From the figure , we can see that
Now , area of the triangle = ( 1/2 ) x Length x Base
On simplifying , we get
A = ( 1/2 )s²
Hence , the area of the triangle is A = ( 1/2 )s²
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ3
Which of these inferences about the two debate teams are true? Check all that apply.
West Side is more consistent at winning.
East Side is more consistent at winning.
East Side typically wins more debates per year than West Side.
West Side typically wins more debates per year than East Side.
These graphs do not contain enough information from which to draw inferences.
Answer:
B and C
Step-by-step explanation:
i did on ed
Answer:
B and C
Step-by-step explanation:
The nursing department of a college surveyed two hundred graduates from their programs about their current
work. The college has different levels of degrees in nursing available. The department found the following
probabilities:
P(bachelor's degree) = 0.45
P(working in nursing) = 0.85
P(in nursing and bachelor's) = 0.4
Find the probability that a graduate is currently working in nursing, given that they earned a bachelor's degree.
P (in nursing bachelor's) =
Answer:
8/9
Step-by-step explanation:
Simplify. 6 √20 - 3 √8
(Please explain the steps so I can better understanding thank you:))
Answer:
to simplify this problem the answer would be 12sqrt5 - 6sqrt2 but I cannot explain it.
Step-by-step explanation:
Step-by-step explanation:
[tex]6 \sqrt{20} - 3 \sqrt{8} \\ = 6 \sqrt{4 \times 5} - 3 \sqrt{4 \times 2} \\ = 6 \times 2 \sqrt{5} - 3 \times 2 \sqrt{2} \\ = 12 \sqrt{5} - 6 \sqrt{2} \\ [/tex]
The rent for an apartment is $800 per month. The landlord charges one month’s rent as a deposit plus a nonrefundable damage cost of $250. The expression 800(n + 1) + 250 represents the cost of the renting the apartment for n months. Simplify the expression.
How much does the apartment cost to rent for 2 years?
The cost of renting the apartment for n months can be simplified to 800n + 1050. To rent the apartment for 2 years, the cost is $20,250.
Explanation:To simplify the expression, we can distribute the 800 to both terms inside the parentheses:
800 * n = 800n800 * 1 = 800Combining these terms gives us:
800n + 800 + 250
By combining like terms, we get the simplified expression:
800n + 1050
To find the cost of renting the apartment for 2 years (24 months), we substitute n = 24 into the simplified expression:
800(24) + 1050 = 20,250
Therefore, the apartment costs $20,250 to rent for 2 years.
Learn more about Renting an apartment here:https://brainly.com/question/32455829
#SPJ2
PLEASE PLEASE HELP the question is below
Answer:
24
Step-by-step explanation:
First do parenthesis:
3*(9+1)-6 -> 3*(10)-6
Then do multiplication:
3*(10)-6 -> (30)-6
Then complete it with subtraction:
(30)-6 -> (24)
So your answer would be 24!
PEMDAS= Parenthesis, Exponents, Multiplication, Division, Add, Subtract.
For the polyhedron, use Euler's Formula to find the missing number. faces: __ edges: 12 vertices: 9
There are 5 faces of a given polyhedron.
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
Euler's formula states that for a polyhedron with V vertices, E edges, and F faces,
V - E + F = 2.
In this case, we know that the polyhedron has 12 edges and 9 vertices. Let's use Euler's formula to solve for the number of faces:
9 - 12 + F = 2
F = 2 + 12 - 9
F = 5
Therefore, the polyhedron has 5 faces.
Learn more about Polynomials here:
https://brainly.com/question/11536910
#SPJ3
What information do you need to write a sine or cosine equation?
Answer:
of a stretched cosine curve, trigonometric videos, worksheets, games and activities that are suitable for ... More Lessons on Finding An Equation for Sine or Cosine Graphs ... We have included a tool that with plot the sine graph f(x) = A sin(B(x-h))+ k, given the values A, B, h and k.
Step-by-step explanation:
In the diagram above, lines a and b are parallel. Find the value of x.
Answer:
x= 21
Step-by-step explanation:
Could i get brainliest please? :D
Answer:
x=21
Step-by-step explanation:
143=(6x+17)
143-17=6x+17-17
126=6x
126/6=6x/6
21=x
Hope this helps :)
if the equation y equals 1/5 x + 2 is changed to y equals 1/5 x - 4 how will the graph of the line change
Answer:
if the equation y equals 1/5 x + 2 is changed to y equals 1/5 x - 4, then the graph of the line will translate 6 units downwards.
Step-by-step explanation:
6 × 3 = (? × 5) - (? × 2)
6 × 3 = ( 10 × 5 ) - ( 16 × 2 )
Hope this helps you!
Answer:
6 x 3=(6 x 5) - (6 x 2)
Step-by-step explanation:
Which is better for value. I need the workings out too
600g of honey for £4.25 or 1kg of honey for £6.99
Can someone please help me and explain how you did it thank you very much! :)
Answer:
Buying the 1kg is a better value.
Step-by-step explanation:
okay so 1000g for every 1kg
so first we will find out how much the 600g would cost if it was 1kg
(ill be using $ instead of £)
600g/$4.25=1000g/? (finding the question mark which will be "x")
you cross multiply so 600x = 4.25×1000
600x = 4250
then cancel out the 600 so x is left, since the 600 is multiplying into the x, you would divide it out to cancel. so
600x=4250
_________ <(dividing)
600 600
so it would be
x= 7.08
which means it is $7.08 which is NOT better for value because it is 9 cents more than just buying the 1kg.
If the technician charged $327.50, then the technician worked ___
hours.
If the technician charges $327.50, then the technician worked 5.95 hours.
To determine how many hours the computer technician worked, we need to set up an equation based on the information provided. Let:
- [tex]\( F \)[/tex] represent the flat rate for home visits.
- [tex]\( h \)[/tex] represent the number of hours worked.
- [tex]\( 55h \)[/tex] represent the hourly charge ($55 per hour).
The total charge is given as $327.50. The equation for the total charge is:
[tex]\[F + 55h = 327.50\][/tex]
Without the flat rate [tex]\( F \)[/tex] provided, we can't determine [tex]\( h \)[/tex] exactly. However, let's assume that [tex]\( F \)[/tex] is included in the total cost as a constant and solve for [tex]\( h \)[/tex] based on the given rate per hour.
First, let's isolate [tex]\( h \):[/tex]
[tex]\[55h = 327.50 - F\\\\h = \frac{327.50 - F}{55}\][/tex]
Since the exact flat rate [tex]\( F \)[/tex] isn't given, let's assume it's zero for this case:
[tex]\[h = \frac{327.50}{55}\][/tex]
Now, calculate [tex]\( h \):[/tex]
[tex]\[h = \frac{327.50}{55} = 5.95 \text{ hours}\][/tex]
Therefore, if the technician charges $327.50 for 5.95 hours worked and assuming no flat rate, the technician worked approximately [tex]\( 5.95 \)[/tex] hours.
The complete question is:
A computer technician charges a flat rate for home visits plus $55 per hour. If the technician charged $327.50, then the technician worked how many hours?
Brian says that there is no such thing as an acute triangle that also has a 90 degree angle. Is this statement true? Yes or No?
Explain you reasoning about Brian's statement
Answer:
Brian is correct.
Step-by-step explanation:
An accute triangle has to have every angle being less then 90 degrees or else it is a right triangle
The coast guard is out to sea and gets notification that two ships need help. One ship is directly west of the coast guard, and the other is directly south, as shown in the image below. The two ships are 6 miles from each other. Which ship is currently closer to the coast guard?
Answer:
ship one.
Step-by-step explanation:
you are using Pythagoras
Answer: I asked this question as well, and got "ship one is closer to the coast guard" however I still need work to support that answer. Is it right?
Which functions represent exponential growth?
Answer: the answers is y=h(x) and y=k(x)
Step-by-step explanation: on edge