Answer:
2x⁶ + 16x⁵ + 30x⁴
Step-by-step explanation:
area of rectangle with height 2x⁴ and width x²+8x+15
area = height x width
2x⁴( x²+8x+15)
2x⁴( x²) +2x⁴(8x)+ 2x⁴(15)
2x⁴⁺² + 16x⁴⁺¹ + 30x⁴
2x⁶ + 16x⁵ + 30x⁴
the area of the rectangle in polynomial which is in standardised form is 2x⁶ + 16x⁵ + 30x⁴
PLEASE HELP
A bookshelf holds 6 different biographies and 4 different mystery novels. How many ways can one book of each type be selected?
11
30
24
20
Answer:
There are 24 ways to select one book of each type.
Step-by-step explanation:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!(n-k)!}[/tex]
It is provided that there are 6 different biographies and 4 different mystery novels on a bookshelf.
Compute the number of ways to select a biography as follows:
Number of ways to select a biography =
[tex]={6\choose 1}\\\\=\frac{6!}{1!(6-1)!}\\\\=\frac{6\times 5!}{1\times 5!}\\\\=6[/tex]
There are 6 ways to select a biography.
Compute the number of ways to select a mystery novel as follows:
Number of ways to select a mystery novel =
[tex]={4\choose 1}\\\\=\frac{4!}{1!(4-1)!}\\\\=\frac{4\times 3!}{1\times 3!}\\\\=4[/tex]
There are 4 ways to select a mystery novel.
Then the total number of way to select one book of each type is:
[tex]{6\choose 1}\times {4\choose 1}=6\times 4=24[/tex]
Thus, there are 24 ways to select one book of each type.
Find the 78th term of the arithmetic sequence
14, 5, -4, ...
Answer:
-679
Step-by-step explanation:
14 + (78 - 1) × -9
= 14 + (77)-9
= 14 - 693
= -689
here are six number cards
-4 -2 -1 5 6 8
arrange the cards into three pairs with the same total
Answer:
8 and -4
6 and -2
5 and -1
Step-by-step explanation: for example 6 and -2. If you add negative 2 and a positive 6 they will equal 4.
How do I do this I need help
Answer:
∠1 = 117°, ∠2 = 63°
Step-by-step explanation:
∠1 = 117° , and ∠2 = 63° because 117° is supplementary to 63°
PLs help I dont understand
Answer:
Step-by-step explanation:
32.5 is 1/10 of blank
Is means =. Of means multiply. So, 32.5=1/10*X
Answer:
32.5 is [tex]\frac{1}{10}[/tex] of 325
Step-by-step explanation:
325 ÷ 10 = 32.5
Someone please please please help me! This is due soon and I’m only at 34 percent!! Please help!
Answer:3.5 and -3.5
Step-by-step explanation:
Because of the absolute value marks a negative will become positive. So 3.5 and |-3.5| are equal to 3.5
Please help asap!! Thank you in advance!! :)
Answer:
y-4=1/5(x-7)
Step-by-step explanation:
First, you need to find the slope of the line. From the point (2,3) to the point (7,4), the line rises 1 unit while moving sideways 5. Therefore, the slope of the line is 1/5. Hence, the equation of the line is y-4=1/5(x-7). Hope this helps!
Find the area of triangle ABC.
A. 24 cm
B. 32 cm2
C. 48 cm2
D. 64 cm
E. 128 cm2
I don’t need an explanation just the answer thank you c:
Answer:
24 centimetre
hope it is helpful
The midpoint, M, of segment GH is M(4, -3). Endpoint G has the coordinates G(-2, 2). Calculate the coordinates of endpoint H. *
Answer:
The point M(Mx, My) is mid-point of GH with G(Gx, Gy) and H(Hx, Hy).
=> 2*Mx = Gx + Hx => 2*4 = -2 + Hx => Hx = 10
=> 2*My = Gy + Hy => 2*(-3) = 2 + Hy => Hy = -8
=> H(10, -8)
Hope this helps!
:)
The coordinate of the point H is (10, -8) if the midpoint, M, of segment GH is M(4, -3). Endpoint G has the coordinates G(-2, 2).
What is a segment bisector?A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center.
It is given that:
The midpoint, M, of segment GH is M(4, -3). Endpoint G has the coordinates G(-2, 2).
Let (x, y) be the coordinates of endpoint H
H(x, y)
(x - 2)/2 = 4
x - 2 = 8
x = 8 + 2
x = 10
(y + 2)/2 = -3
y + 2 = -6
y = -8
Thus, the coordinate of the point H is (10, -8) if the midpoint, M, of segment GH is M(4, -3). Endpoint G has the coordinates G(-2, 2).
Learn more about the segment bisector here:
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Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inches? Select three options..
A right rectangular prism with length 15 inches, width of 8 inches, and height of 6 inches.
A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches.
A cross section parallel to the base is a rectangle measuring 15 inches by 6 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 4 inches by 15 inches.
A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.x
This question is not complete because it lacks the diagram of the Rectangular prism.
Answer:
Attached to this diagram is the necessary diagram
• A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches.
• A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
• A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.
Step-by-step explanation:
A right rectangular prism is a prism that is 3 dimensional in shape and it has 6 rectangular faces.
From the attached diagram, we can see that their is a cross section that is parallel to the base, it has breadth of 8 inches and breathe of 15inches, therefore the option
"• A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches." is correct.
Secondly, when we look at the diagram and check the midpoints thought the 8 inches sides , the cross section perpendicular to the base is a rectangle that has a length of 6 inches and a breadth of 15 inches . Therefore the option
"• A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches." Is correct
Thirdly, by observing the attached diaiagram,
• A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches is correct.
Find the value of X to the nearest degree.
the sum of the interior angles or a regular pentagon is
Answer:
540 degrees
Step-by-step explanation:
i think
Jordan prepares 200 name tags to use at a
meeting. The number for each color of the
name tag is described below.
• 35% of the name tags are blue
•
3
8
of the name tags are yellow
• all of the remaining name tags are red
How many of Jordan’s name tags are red?
Answer:
number of red tags = 200 - 70 - 38 = 92
Step-by-step explanation:
Jordan has a total of 200 name tag and the tags have different varieties of colors. The tags have blue, yellow and red color . Let us find the number of blue tags
number of blue tags = 35% of 200
number of blue tags = 35/100 × 200
number of blue tags = 70
The number of yellow tags = 38
The remaining number of tags are red color. Therefore the number of red tag will be the total number of tag minus the number of blue tags and the number of yellow tags.
number of red tags = 200 - 70 - 38 = 92
Help ASAP pleaseee!!!!!!!
Answer:
A
Step-by-step explanation:
As they have the same slope they should be parallel so a is the answer
Answer:
Graph D (-1, -2)
Step-by-step explanation:
I graphed the two equations using a graphing tool.
When graphed, they pass at the point (-1,-2).
(-1, -2) is the solution.
It looks like that graph D has the lines passing at the same point.
Option D should be the correct answer.
find the are of the shape below, giving your answer to 1 decimal place.
Answer:
4075 squares centimeters
Step-by-step explanation:
V=4/3pi(r^3)
V=4/3pi(9^3)
V=3,054 inches^3
WILL MARK BRAINLIEST Name two nations that controlled Vietnam during the 1940’s.
13 = 11 + u
I need work and answer!!!
Answer:
u = 2
Step-by-step explanation:
13 = 11+u
Subtract 11 from each side
13-11 = 11+u-11
2 = u
Answer:
u=2
Step-by-step explanation:
Given: 13=11+u
Subtract 11 from both sides: 13-11=11-11+u
2=u or u=2
Please can I have brainliest?
Can anyone help me out on this, please? I'll mark you brilliant. :)
try 22
Step-by-step explanation: Maybe it could work, hope it. helps,
Khan?
anyone know this trig question?
Answer: 23.8
Step-by-step explanation:
Since sine= opp/hyp we can use the given info to establish
sin39=15/x
x=23.8
Answer:
d) x≈23.8
Step-by-step explanation:
sin 39 = 15/x multiply by x each side
x sin 39 = 15 divide by sin39
x = 15/sin 39
x = 23.84
x≈23.8
To solve the system of linear equations 8 x + 5 y = 18 and 6 x + y = negative 2. By using the linear combination method, Amos decided that he should first multiply the second equation by –5 and then add the two equations together to eliminate the y-terms. His calculations are as shown. 8 x + 5 y = 18. + 6 x minus 5 y = 10. 14 x = 28. StartFraction 14 x Over 14 EndFraction = StartFraction 28 Over 14 EndFraction. X = 2. 6 x + y = negative 2. 6 (2) + y = negative 2. 12 + y = negative 2. 12 + y minus 12 = negative 2 minus 12. Y = negative 14. Amos's solution is (2, –14). What did he do wrong?
Answer:
He forgot to multiply 6x by -5
Step-by-step explanation:
8x + 5y = 18
6x + y = -2
-30x - 5y = 10
Answer: C I think
Step-by-step explanation:
I honestly forgot all about these so can someone help?
Answer:
option 2 is not right angle triangles
Answer:
Option 3 is actually not a right triangle
Hope this helps :)
(Option 3 is an acute scalene triangle, the others are all right scalene)
The total mass of Sandeep and his sister, Leela, is 54.75 kg. The total
mass of Sandeep and his mother, Mrs Kohli, is 105 kg. Mrs Kohli is
4 times as heavy as Leela. What is Sandeep's mass?
Answer:
38 kg
above is the answer
karsten has 5 apples rebecca has 10 apples how many apples are there in total? yes
Answer:
15 apples in total
Step-by-step explanation:
hurrrrryyyyyyyyy A triangle is reduced.
A triangle has a base of 16 inches, height of 12 inches, and side length of 20 inches. A smaller triangle has a base of 12 inches, height of 9 inches, and side length of blank.
Not drawn to scale
What is the perimeter of the reduced triangle, in inches?
Answer:
Step-by-step explanation:
32
What is the circumference of a circle with a diameter of 21cm, rounded to the nearest tenth
Answer:
Step-by-step explanation:
22/7 * 21 = 66cm
65.9 cm
Step-by-step explanation:
The formula for the circumference of a circle is...
[tex]C=\pi d[/tex]
Since the problem asks to round to the nearest tenth, we know that we will convert pi to 3.14. We also know the diameter is 21, so we can put both of these in the formula.
[tex]C=3.14*21[/tex]
C = 65.940
Rounded to the nearest tenth...
C = 65.9 cm
Find xu.
A. 6
B. 4.5
C. 2.25
D. 3
Answer:
A
Step-by-step explanation:
TX=XZ=ZU=3
XU=XZ+ZU=3+3=6
Answer:
D. 3
Step-by-step explanation:
There are 130 people in a sports centre. 65 people use the gym 51 people use the swimming pool, 44 people use the track 15 people use the gym and the pool 14 people use the pool and the track 10 people use the gym and the track 1 person uses all 3 facilities A person is selected at random, what is the probability that this person doesn't use any facilities?
Answer:
Step-by-step explanation:
The Venn diagram representing the situation is shown in the attached photo.
G represents the set of people that use the gym.
P represents the set of people that use the swimming pool.
T represents the set of people that use the track.
Since 1 person uses the 3 facilities, it means that
Number of persons that use gym and pool only is 15 - 1 = 14
Number of persons that use pool and track only is 14 - 1 = 13
Number of persons that use gym and track only is 10 - 1 = 9
Number of persons that use gym only is
65 - (14 + 1 + 9) = 41
Number of persons that use pool only is
51 - (14 + 1 + 13) = 23
Number of persons that use track only is
44 - (9 + 1 + 13) = 21
N represents the number of people that use none of the facilities. Since there are 130 people in a sports centre, it means that
41 + 23 + 21 + 9 + 14 + 13 + 1 + N = 130
122 + N = 130
N = 130 - 122
N = 8
Therefore, the probability that a person doesn't use any facilities is
8/130 = 0.062
[tex]\frac{4}{65}[/tex] is the required probability.
What are sets?A set is an unorganized well-defined collection of similar types of objects.
Eg : {1,2,3,4,5} or {Science, Maths, English}
How to solve?Given:-
Total people (n) = 130
People using gym (G) = 65
People using swimming pool (P) = 51
People using track (T) = 44
(Gym U pool) = 15
(pool U track) = 14
(Gym U track) = 10
(Gym U track U pool) = 1
Using venn diagram :
Total participating people are 41 + 23 + 21 + 14 + 9 + 13 + 1 = 122
since total people are 130, non participants are 130 - 122 = 8
Probability of an event = [tex]\frac{favourable}{total}[/tex] = [tex]\frac{8}{130} = \frac{4}{65}[/tex]
Thus, the probability that a random person doesn't uses any facility is [tex]\frac{4}{65}[/tex]
To know more about Sets visit:
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A ball was thrown upward into the air. The height, in feet, of the ball above the ground t seconds after being thrown can be determined by the expression -16t^2+40t+3. What is the meaning of the 3 in the expression?
Answer:
C.) The ball was thrown from a height of 3 feet
Step-by-step explanation:
In the standard form of a quadratic function, f(x) = ax² + bx + c,
c is the constant term (also known as the y-intercept of the parabola)
In this situation, the ball is thrown up into the air and the flight path will be in the shape of a parabola
The equation y = -16t² + 40t + 3 has a y-intercept of 3, meaning the flight path began at 3 feet above the ground, as you can imagine by looking at the graph of the equation, below. The y-intercept is at (0,3)
The first term of an AP is 5, common difference is 3 and the last term is 80. Find the number of terms.
Answer:
n=26
Step-by-step explanation:
an=a+(n-1)d
80=5+(n-1)3
80=5+3n-3
80-2=3n
78/3=n
n=26
Can anyone help me please guys?
Answer:
Cost of the tires in 2008 = 23333 dollars
Step-by-step explanation:
Number of snow tires purchased are represented by,
T = [tex]\frac{500(t+20)}{(t+75)}[/tex]
Where t = duration from year 2000
Similarly, cost of the tires area represented by,
C = [tex]\frac{t+75}{1-.05t}[/tex]
Therefore, cost of T tires = C × T
= [tex]\frac{t+75}{1-.05t}[/tex] × [tex]\frac{500(t+20)}{(t+75)}[/tex]
= [tex]\frac{500(t+20)}{1-0.05t}[/tex]
Now cost of the tires in year 2008 (t = 8 years)
Total cost = [tex]\frac{500(8+20)}{(1-0.05\times 8)}[/tex]
= [tex]\frac{14000}{0.6}[/tex]
= $23333.3
≈ 23333 dollars