Given:
A quadratic monomial with a leading coefficient of 6.
A linear binomial with a leading coefficient of 2.
To find:
The mathematical terms for the given statements.
Solution:
Monomial: The expression with single term.
Binomial: The expression with two terms.
Quadratic: Highest power of the variable is 2.
Linear: Highest power of the variable is 1.
Coefficient: In the product of a number and a variable, the number is known as the coefficient of that variable.
The first statement is "A quadratic monomial with a leading coefficient of 6".
Quadratic monomial means single term with degree 2. The leading coefficient of 6. So, the term is [tex]6x^2[/tex].
The second statement is "A linear binomial with a leading coefficient of 2".
Linear binomial means [tex]ax+b[/tex], where a and b are real values. The leading coefficient is 2. So, [tex]a=2[/tex].
Let [tex]b=1[/tex], then the required linear binomial is [tex]2x+1[/tex].
Therefore, a quadratic monomial with a leading coefficient of 6 is [tex]6x^2[/tex].
A linear binomial with a leading coefficient of 2 is [tex]2x+1[/tex].
The solids are similar. Find the volume of solid B. Write your answer in terms of pi.
Two cylinders are shown. The cylinder at the left is labeled Cylinder A, and the radius of the base is labeled 12 inches. At the bottom of the cylinder reads, V equals 4608 pi cubic inches. The cylinder at the right is labeled Cylinder B, and the radius of the base is labeled 15 inches.
Help please!
69,120
Step-by-step explanation:
You multiply 15 times 4608
The volume of solid B cylinder is 9000π cubic units.
What is a cylinder?
A cylinder is a 3-D solid figure that has two identical circular bases joined by a curved surface at a fixed distance from the center, that is the height of the cylinder.
For the given situation,
Cylinder A:
Let the radius of cylinder A be r1 = 12 inches
Let the height of cylinder A be h1
The volume of the cylinder A, V1 = 4608 π cubic inches
Cylinder B:
Let the radius of cylinder A be r2 = 15 inches
Let the height of cylinder A be h2
The volume of the cylinder A, V2
The formula of volume of cylinder is
[tex]V=\pi r^{2}h[/tex]
For cylinder A,
⇒ [tex]4608\pi =\pi (12)^{2}h1[/tex]
⇒ [tex]h1=\frac{4608}{144}[/tex]
⇒ [tex]h1=32[/tex]
Cylinder A and cylinder B are similar, so
[tex]\frac{h1}{h2} =\frac{r1}{r2}[/tex]
⇒ [tex]\frac{32}{h2} =\frac{12}{15}[/tex]
⇒ [tex]h2=\frac{(32)(15)}{12}[/tex]
⇒ [tex]h2=40[/tex]
Volume of cylinder B is
⇒ [tex]V=\pi (15)^{2}(40)[/tex]
⇒ [tex]V=9000\pi[/tex]
Hence we can conclude that the volume of solid B cylinder is 9000π cubic units.
Learn more about cylinders here
https://brainly.com/question/15891031
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AC and BD are perpendiculare bisectors of each other find the perimeter of ABC 30
Answer:
36 is the answer i was counting middle line oft triangle abc and it was throwing me off
Step-by-step explanation:
Write equivalent fraction for the given number : 2/4 = _______ , ____________ , ______________, _ _________
Answer:
1/2, 4/8, 5/10, 6/12 (examples of equivalent fractions)
Step-by-step explanation:
all you have to do is keep the ratio the same, so whatever change you make to one side of the fraction, you do the same to the other
here's an example: 2/4 divided by 2/2 = 1/2
- you would divide 2 by 2 AND 4 by 2
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Answer:
Umm lol I don't know why this person and said a weird message
Step-by-step explanation:
okay the answer is ufldnduejndhsjdnshsidmdjdhsoomsbdhdjdjdnd oof lol
Which expression can go in the blank to make the equation true?
-2.9 + 2.8 + ____________ = 0
Answer:
+0.1
Step-by-step explanation:
when we subtract 2.9 and 2.8 we get -0.1 and to make it zero we have to keep +0.1
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
Defined the explicit section for the sqeucrce in the table
Thank you
Answer:
D) [tex]a(n)=7+(n-1)*12[/tex]
Step-by-step explanation:
It is D since you can replace [tex]n[/tex] for any value on the [tex]x[/tex] side of the table and it will give you its corresponding [tex]y[/tex] value.
Need help ASAP PLEASE ITS DUE IN A HOUR HURRY ?!!!
Answer:
d = 8
Step-by-step explanation:
V=(π)(r)^2(h/3)
83.7=(π)(r)^2(5/3)
Solve for r
r = 3.9
d = (3.99)(2)
d = 7.98
d = 8
In the figure, .
∠AEB and ∠CED are congruent
.
∠AEC and ∠
are congruent by the Vertical Angles Theorem.
The answer is ∠BED by vertical angles theorem.
Answer:
B
Step-by-step explanation:
∠AEB and ∠CED are congruent
by the Vertical Angles Theorem
∠AEC and ∠
BED
are congruent by the Vertical Angles Theorem.
For each of these sequences below: (a) describe the term-to-term rule (b) calculate the tenth term 4.1) 3 6 9 12 15 4.2) 5 11 17 23 29
Answer: The term to term rule is an Arithmetic progression for the two question. B) 1Oth term for the first is 30 and for the second series is 59
Step-by-step explanation:
4.1) 3 6 9 12 15
For the sequence above, we can see that the next term is gotten by addition of 3 with the previous term and so It is an Arithmetic progression.
Having in mind the nth term of an AP as Tn = a + (n - 1)d.
where a is the first term =3
And d common difference =3(6-3,9-6,12-9)
10th term=
T10 = 3+ (10 - 1)3.
T10 = 3+ (9)3.
T10 = 3+ 27.
T10 =30
4.2) 5 11 17 23 29
For the sequence above, we can see that the next term is gotten by addition of 6 with the previous term and so It is an Arithmetic progression.
Having in mind the nth term of an AP as Tn = a + (n - 1)d.
where a is the first term =5
And d common difference =6 (11-5, 17-11,23-17)
10th term=
T10 = 5+ (10 - 1)6.
T10 = 5+ (9)6.
T10 = 5+ 54.
T10 =59
Anthony bought a new rectangular table for his living room the length of the table is 4 feet and the perimeter of the table is 14 feet what is the width of the table ?
A. 4 feet
B.5 feet
C. 2 feet
D.3 feet
Answer:
Option d
Step-by-step explanation:
Length = 4 ftPerimeter = 14 ftWidth = ?→ Perimeter of rectangle = 2(l + w)
→ 14 = 2(4 + w)
→ 14 ÷ 2 = 4 + w
→ 7 = 4 + w
→ 7 - 4 = w
→ 3 ft = w
Therefore, width is 3 ft. (Option D)
Can someone explain the answer to 7.1x10^-3 ?
Answer:
[tex]{ \tt{7.1 \times {10}^{ - 3} }} \\ { \bf{negative \: means \: { \green{increase \: in \: decimal \: places}}}} \\ = { \tt{0.71 \times {10}^{ - 2} }} \\ = { \tt{0.071 \times {10}^{ - 1} }} \\ = { \tt{0.0071 \times {10}^{0} }} \\ { \boxed{ but \: {10}^{0} = 1}} \\ \therefore{ \tt{ = 0.0071 \times 1 = 0.0071}}[/tex]
The expression 6.7\cdot1.45^t6.7⋅1.45 t 6, point, 7, dot, 1, point, 45, start superscript, t, end superscript models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project ttt years since 200220022002. What does 1.451.451, point, 45 represent in this expression?
Answer: 1.45 is a growth factor.
Step-by-step explanation:
Exponential growth function: [tex]y=Ab^x[/tex], where A = initial value , b = growth factor (if b>1)
Here, The expression [tex]6.7\cdot(1.45)^t[/tex] models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project t years since 2002.
Here, b=1.45 >1
Thus,1.45 is a growth factor.
Find the equation in standard form of the line passing through the points(5,1) and (-2,3)
Answer:
A
Step-by-step explanation:
y-1=3-1/-2-5 (x-5)
2x+7y=17
HELP PLS i don’t understand it so can someone please help me
Step-by-step explanation:
hey :) I can't help you BUT there is a very good app I recommend it's called "algebrator". I really hope it helps you :)
Brainly to whomever somehow solves for x. I WILL REPORT SCAMS AND UNHELPFUL "WHAT?" ANSWERS.
Answer:
[tex]x=\frac{33}{7}[/tex]
Step-by-step explanation:
Since ED is parallel to CA, the two triangles in the figure share all 3 angles and therefore must be similar. By definition, the corresponding sides of similar polygons are in a constant proportion.
Therefore, we have:
[tex]\frac{11}{11+x}=\frac{14}{20},\\14(11+x)=20\cdot 11,\\11+x=\frac{20\cdot 11}{14},\\x=\frac{110}{7}-11=\boxed{\frac{33}{7}}[/tex]
a vertical stick is 8 cm high and the length of its shadow is 6 cm find the distance between the top of the stick and it's shadow
Answer:
10
Step-by-step explanation:
8 and 6 are the numbers you work with
using the formula [tex]a^{2} + b^{2} = c^{2}[/tex]
we get : [tex]8^{2}[/tex] + [tex]6^{2}[/tex] = [tex]c^{2}[/tex]
64 + 36 = [tex]c^{2}[/tex]
100 = [tex]c^{2}[/tex]
[tex]\sqrt{100} = \sqrt{c^{2} }[/tex]
10 = c
Find the missing length of the triangle
Answer:
b = 2.5
Step-by-step explanation:
→ Utilise Pythagoras theorem
b² = c² - a²
→ Substitute in the numbers
b² = 6.5² - 6²
→ Simplify
b² = 6.25
→ Square root both sides
b = 2.5
HELP QUICK i need to turn this in in 20 mins
Could someone please help me solve these?
how do you find line segments in angels
Answer:
Line segments are named by their endpoints and rays are named by their endpoint and another point. In each case, a segment or ray symbol is written above the points. Below, the line segment is ¯AB and the ray is →AB
Melissa read 250 pages of a book last weekend. This weekend she reads 240 pages of a book. What is the percent of change in the number of pages she read last weekend to the number of pages she read this weekend?
Answer:
there is a 4% decrease in the number of pages read by Melissa
Step-by-step explanation:
Percentage change = (books read this week - books read last week) / books read last week x 100
(240 - 250) / 250 x 100
= -10/250 x 100 = -4%
This graph shows the solution to which inequality? A.y>=1/3x-2 B.y<1/3x-2 C.y<=1/3x-2 D.y>1/3x-2
Answer:
d.
Step-by-step explanation:
Riya has a rectangular garden measuring 12m by 20m that she wanted to split diagonally from corner to corner using a fence. How long does her fence need to be? Give your answer to 1 decimal place.
Answer:
......
Step-by-step explanation:
Length of diagonal of the rectangle=
√( length) ²+( breadth) ²
=√(20) ²+(12) ²
=√400+144
√544 m
. '. Length of fence= √544 m
Perimeter of the triangle formed by the diagonal of the rectangle =(12+20+√544)
=(32+√544) m
Analia is a school district manager. Here are some details about two schools in her district for the last school year:
School A School B
Number of students 300030003000 400040004000
Number of teachers 190190190 380380380
Graduation rate 86\%86%86, percent 90\%90%90, percent
Budget per student \$10{,}500$10,500dollar sign, 10, comma, 500 \$10{,}000$10,000dollar sign, 10, comma, 000
% of students in sports club 62\%62%62, percent 68\%68%68, percent
Number of sports medals won 999 777
SAT average 120012001200 105010501050
SAT range (max-min) 900900900 700700700
Analia wants to know which school has higher academic achievements relative to the budget per student.
1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
SAT average divided by budget per student
(Choice B)
B
Graduation rate divided by budget per student
(Choice C)
C
Number of sports medals won divided by budget per student
(Choice D)
D
Graduation rate divided by number of sports medals won
2) Determine which school has higher academic achievements relative to the budget per student, according to the two definitions. Did you get the same result for both definitions?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes. According to both definitions, School A has higher academic achievements relative to the budget per student.
(Choice B)
B
Yes. According to both definitions, School B has higher academic achievements relative to the budget per student.
(Choice C)
C
No. The definitions have opposite results.
Answer:
a and b
no the definitions have opposite results
Step-by-step explanation:
What scale is used on the graph below
a). no scale
b). 2 cm to 2 units on both axes
c). 1 cm to 2 units on both axes
d). 1 cm to 1 unit on both axes
[tex]\orange{\underline{{\bold{\mathbb{\blue{ \huge{QUESTION}}}}}}} [/tex]
What scale is used on the graph
[tex] \huge \bf {\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]
b). 2 cm to 2 units on both axes
As we can se there is gap of 2 boxes (side length= 1cm of one box so 2 boxes side length= 2cm) between 2 units so we can conclude that scale is equal to 2 cm to 2 units on both axes
[tex] \bold \red{DEFINATION \: \: OF \: \: SCALE }[/tex]
IT IS THE RELATIONSHIP BETWEEN THE UNIT USED AND ACTUAL VALUE ON THE GRAPH
Find the range of the graphed function.
Range is set of all y-values. To find a range of graphed function, we need to know that range starts from the minimum value of graph to maximum value. That's because the minimum value is the least value that you can get by substituting the domain and the maximum value is the largest value that you can get by substituting the domain as well.
Now we don't talk about domain here, we talk about range. See the attachment! You are supposed to focus on y-axis, plane or vertical line. See how the minimum value of function is the negative value while the maximum value is positive.
That means any ranges that don't contain the negative values are cleared out. (Hence A and C choices are wrong.)
Next, range being set of all real numbers mean that graphed functions don't have maximum value or minimum value (We can say that both max and min are infinite.)
Take a look at line graph as an example of range being set of all real numbers, or cubic function.
Answer/Conclusion
The range exists from negative value which is -9 to the maximum value which is 5.That means the range is -9<=y<=5divide (6x³+5x²-4x+3) by (2x+3)
Answer: 3x^2-2x+1
Step-by-step explanation:
Answer:
3x² - 2x + 1
Step-by-step explanation:
To get 3x²
6x³ ÷ 2x
To get -2x
-4x² ÷ 2x
To get +1
2x ÷ 2x
The addition Of 5 Times A Number X and 17 ?
Answer:
5x+17
Step-by-step explanation:
5 times a number, X, can be represented as 5x. If we want to add 5x and 17, we can say 5x+17.
What is the measure of ADB?
put the question -3/5+1/3 in simplest form
Answer:
-4/15
Step-by-step explanation:
-3/5+1/3 = -4/15