The polynomial is x⁹ - 23x⁷ - 6x³ + 2x² + 10 in the standard form, the degree of the polynomial is nine, and its leading coefficient is 1.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
The polynomial below which is given in the question
-23x⁷ + x⁹ -6x³ + 10 + 2x²
To determine the polynomial in the standard form.
⇒ -23x⁷ + x⁹ -6x³ + 10 + 2x²
Rearrange the terms in the descending order of the degree of variables
⇒ x⁹ - 23x⁷ - 6x³ + 2x² + 10
This is the polynomial in the standard form
Here the degree of the polynomial is nine because nine is the highest degree in the above expression and its leading coefficient is 1.
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The question seems to be incomplete the correct question would be:
Write the polynomial in the standard form, and then identify the degree and leading coefficient
-23x⁷ + x⁹ -6x³ + 10 + 2x²
How much greater is 8.5 x 10^-2 than 6.6 × 10^-5 ?
Answer:
1288 times greater
Step-by-step explanation:
(8.5x10^-2)/(6.6x10^-5)
(8.5/6.6)*(10^-2/10^-5)
(1.29)*(10^3)
1288 times greater
How do you distribute 259 or 3.25 pieces of candy into 80 bags
259 pieces of candy can be distributed in 80 bags to give 3 candy per bag and there will be 19 candies remaining
How to distribute 259pieces of candy in 80 bagsThe concept for distributing the required candies is achieved by the mathematical operation called division.
Division is an inverse of multiplication. With division we can share and determine number of candy per bag
The question is solved by
= 259 ÷ 80
= 259 / 80
= 3 19/80
This means that there will be 3 candies per bag and after sharing among the nags there will be 19 candies remaining.
Putting this in decimal gives
= 3.2375 ≅ 3.24
In a situation where we are to count the candies if they are 3.25 pieces per bag the we multiply as follows
= 3.25 * 80
= 260
in this case the total number of candies should be 260
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(middle school question) hey can someone please answer this with shown work please I have been stuck on it for like an hour
Answer:
1.95 hours or 1 hour and 57 minutes.
Step-by-step explanation:
You can read the problem as 13% of the battery. "Of" is a keyword that means to multiply.
The battery lasts 15 hours, so multiply by 13%. You need to change 13% to a decimal first by dividing it by 100, or moving the decimal left two places.
13% = 0.13
Now solve.
0.13 × 15 = 1.95
If you need to convert the 0.95 to minutes, multiply it by 60 since there are 60 minutes in an hour.
0.95 x 60 = 57 minutes.
Find the perimeter pf the regular polygon.
5 (x+2)
7x+4
The perimeter of the regular polygon is 108 units.
How to find the perimeter of a regular polygon?A regular polygon is a polygon that has all its sides equal to each other.
Therefore,
5(x + 2) = 7x + 4
5x + 10 = 7x + 4
5x - 7x = 4 - 10
-3x = -6
x = -6 / -3
x = 2
The perimeter of a regular polygon is the sum of the whole sides of the polygon.
Therefore,
each side of the regular polygon = 7(2) + 4
each side of the regular polygon = 14 + 4
each side of the regular polygon = 18
Hence the regular polygon has 6 sides
perimeter of the regular polygon = 18 × 6
perimeter of the regular polygon = 108 units
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Write a simplified expression for the area of the rectangle.....
SINCE A OF A RECTANGLE IS =L×B
[tex] = (12x - 6)(14 \frac{1}{6} ) \\ = (12x - 6)( \frac{25}{6} ) \\ = \frac{25}{6} (12x) + \frac{25}{6} ( - 6) \\ = 50x - 25[/tex]
THE SIMPLIFIED AREA IS =50x-25
Can someone please help solve the attached :) it's on simultaneous equations combined with congruent triangles
Answer:
2a + b = 180
a + b = 118
a = 64, b = 56
Step-by-step explanation:
If you look at the triangle on the top right of the diagonal, there are 3 angles a, a and b. Since the 3 angles of a triangle add up to 180°
a + a + b = 180
=> 2a + b = 180.......(1)
We are given that the largest angle is 118°
The largest angle of the parallelogram is a + b. Remember that opposite angles of a parallelogram are equal and the sum of the angles add up to 360
Therefore a + b = 118 ....(2)
Given equations (1) and (2), subtract (1) from (2):
Eq (1) - Eq(2) :
2a + b - (a + b) = 180 - 118
a = 62
Substitute for a in equation (2) to get
a + b = 118
62 + b = 118
b = 118 - 62 = 56
So the two angles are a = 64° and b = 56°
Answer:
a = 62, b = 56
Step-by-step explanation:
given the largest angle is 118° , then
a + b = 118 ( subtract b from both sides )
a = 118 - b → (1)
the sum of the interior angles of a quadrilateral = 360°
the angle adjacent to a is b ( alternate angles ) , then
a + b + a + a + b + a = 360
4a + 2b = 360 → (2)
substitute a = 118 - b into (2)
4(118 - b) + 2b = 360
472 - 4b + 2b = 360
472 - 2b = 360 ( subtract 472 from both sides )
- 2b = - 112 ( divide both sides by - 2 )
b = 56
substitute b = 56 into (1)
a = 118 - 56 = 62
a = 62 and b = 56
m=p*Vwe have
p=m/V
Solve for m
That means-----> isolate the variable m
Multiply both sides by V
p*V=(m/V)*V
Simplify
p*V=m
rewrite
m=p*V
Using the properties of equality, the value for m in the equation is: m = pV.
How to Apply the Properties of Equality to Solve for a Variable?For any given equation, to solve for a variable in the equation, we have to isolate the variable to one side of the equation in order to determine its value. To do this, several properties of equality need to be applied to isolate the variable to one side of the given equation.
Given the equation, p = m/V, we need to isolate the variable m to one side of the equation in order to solve for m.
p = m/V
Multiply both sides of the equation by V
p × V = m/V × V [multiplication property of equality]
Simplify the equation:
pV = m
m = pV
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Please help gotta get my grade up ASAP this was due the 11th and it’s the 23rd now, super behind!!
Find f(7) if f(x) = 6x + 10. Enter DNE if the value does not exist.
f(7) =
Answer: f(7) = 52
Step-by-step explanation:
x = 7, so you would substitute x for 7
f(7) = 6(7) + 10
f(7) = 42 + 10
f(7) = 52
Hope this helps!
a container of milk contains 8 cups of milk. if paul sets aside $1\frac{2}{5}$ cups of milk for use in a recipe and divides the rest evenly among his three children, how much milk should each child receive? express your answer as a mixed number.
Each child will receive the 1.1 cup of milk.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that a container of milk contains 8 cups of milk. if paul sets aside [tex]1\dfrac{2}{5}[/tex] cups of milk for use in a recipe , then we get the leftover;
8 - [tex]1\frac{2}{5}[/tex] = 8 - 7/5
= 40- 7/5
= 33/5
= 6.6
The the rest cups of milk = 6.6
Then the rest evenly among his three children 6.6/3 = 1.1
Hence, Each child will receive the 1.1 cup of milk.
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Please answer only if you know the answer thank you.
The equation of a line passing through the point (7, 8) with slope as -3 is option (A) 3x + y - 29 = 0 or y = -3x + 29
In the above question,
It is given that a line that passes through a point = (7 ,8)
The slope of the line = m = -3
The inclination of a line with respect to the horizontal is measured numerically is called as Slope
We know the slope intercept form of the line is
( y - y1) = m (x - x1)
where (x1 , y1 ) = ( 7 , 8)
and m = -3
Putting values in the slope intercept form of line, we get
( y - 8) = -3 ( x - 7)
y - 8 = -3x + 21
3x + y -8 - 21 = 0
3x + y - 29 = 0
y = -3x + 29
Hence, The equation of a line passing through the point (7, 8) with slope as -3 is y = -3x + 29
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it is decided that this barrel must be painted pink and the barrel's surface area is requested in order to determine the amount of paint needed. what is the surface area of the barrel g
The surface area of the barrel needs to be calculated in order to determine the amount of paint. The surface area of the barrel, including the lid, is 13 m²
Missing data from the problem:
radius of the barrel = 0.4 meters
height of the barrel = 1.2 meters
The shape of a barrel is cylinder. The surface area of the barrel, including the lid) is:
A = 2. πr² + 2. πr.h
Where:
r = radius
h = height
Plug the parameters into the formula:
A = 2. π(0.4)² + 2. π(0.4).(1.2)
A = 13 m²
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Identify the parameter you are trying to estimate for 90%
Find all possible values of the expression 1/a
1/2
__<1/a<__
The possible values of the expression 1/a = 1/2 is 2
The expression is the simple fraction form = 1/a
The expression is the defined as the a sentence with a minimum of two variables and at least one math operation.
The simple fraction is fraction that contains the numerator and denominator as whole number. The term one the top of the simple fraction called as the numerator and bottom term is called as the denominator.
Here it is given that
1/a = 1/2
Therefore the value of a = 2
Hence, the possible values of the expression 1/a = 1/2 is 2
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Questiobn Translate and solve: 46 less than y is at least-184. Give your answer in interval notation. Provide your answer below:
Questiobn Translate and solve: 46 less than y is at least-184. Give your answer in interval notation.
Algebraic expression is equal to
[tex]y-46\ge184[/tex]Solve for y
[tex]\begin{gathered} y-46\ge184 \\ y\ge184+46 \\ y\ge230 \end{gathered}[/tex]The solution for y is the interval {230, infinite)Is the ordered pair a solution of the equation?
4x + 5y = -1; (1,-1)
a. yes
b. no
Answer:
a. Yes
Step-by-step explanation:
If you plug the numbers in, 1 is x and -1 is y. The equation would look something like this:
4-5=-1
Now, do 4-5
4-5=-1
-1=-1
The answer would be a, yes.
Hope this helps! :D
In terms of ln(4) and ln(5), rewrite the expression: ln 500
Answer:
2ln5 + ln4 + ln5
Step-by-step explanation:
Think about how we can write 500 in terms of 4 and 5.
[tex]500 = 5^2*(4*5)[/tex]
So ln(500) can be written as ln(5^2*4*5)
Using log rules [tex]log_b(x*y)=log_b(x)+log_b(y)\\logb(x^a)=a*log(x)[/tex]
we can rewrite ln(500) to 2ln5 + ln4 + ln5
1x + 2y = 7 and y = -2x + 3
Answer:
x = –1/3 and y = 11/3
or can be written as (–1/3, 11/3)
Solve the system of equations:
1x + 2y = 7
y = –2x + 3
Substitute y = –2x + 3 for y in the first equation:
1x + 2y = 7
1x + 2(–2x + 3) = 7
Substract 6 from both sides:
–3x + 6 = 7
–3x + 6 – 6 = 7 – 6
–3x = 1
Divide:
–3x/–3 = 1/–3
x = –1/3
Substitute –1/3 for x in the second equation:
y = –2x + 3
y = –2(–1/3) + 3
y = 11/3
Solution:
x = –1/3 and y = 11/3
or can be written as (–1/3, 11/3)
Hope that helps! Have an amazing rest of your day! Please consider giving me the brainliest! :)
FAST PLS
Which brand of granola typically weighs more?
Brand A bags typically weigh more because the median of brand A is higher than that of brand B.
Brand B bags typically weigh more than brand A bags because there is a high outlier at 52.5.
Brand A bags typically weigh more than brand B bags because there are no outliers in the distribution.
Brand B bags typically weigh more because the range of weights is higher than that of brand A.
Answer:
brand A. The bag weights for brand A have less variability than the bag weights for brand B
There's still more, there's 3 parts I just can't see them until I have my answer
The cost of endless chicken wings at Restaurant X is $5. So cost equation for n chicken wings at Restaurant X is,
[tex]c=5[/tex]The cost of chicken wings at Restaurant Z is 20 cents and $1.40 for sauce. So cost equation for Restaurant Z is,
[tex]\begin{gathered} c=\frac{20}{100}\cdot n+1.40 \\ =0.20n+1.40 \end{gathered}[/tex]So answer is,
Restaurant X: c = 5
Restaurant Z: 0.20n + 1.40
(b)
Plot the system of equation on the graph.
(c)
The lines of two restaurant X and restaurant Z intersect each other at point (18,5). This means that restaurant X and restaurant Z has same cost 5 at n = 18. So both restanurant has same cost for 18 chicken wings.
Answer: 18
Evaluate each expression using the values given in the table.
SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
From the question,
We have that:
[tex]\begin{gathered} a)\text{ f (1) =2 and g(1) =0} \\ We\text{ n}eed\text{ evaluate :} \\ (fog\text{ ) (1) = f(g(1)) = f (0) =-1} \\ \text{Then, (fog)(1) = - 1} \end{gathered}[/tex][tex]undefined[/tex]The values of each composite function are:
a) -1
b) -1
c) 2
d) 0
e) 2
f) -4
We have,
These are composite functions.
It is written as:
(f o g) (x) = f (g(x))
Now,
From the table, the values for each function f and g at specific values x are taken.
a.
(f o g)(1)
f(g(1)) = f(0) = -1
b.
(f o g) (-1)
f(g(-1)) = f(0) = -1
c.
(g o f) (-1)
g(f(-1)) = g(-2) = 2
d.
(g o f) (0)
g(f(0)) = g(-1) = 0
e.
(g o g) (-2)
g(g(-2)) = g(2) = 2
f.
(f o f) (-1)
f(f(-1)) = f(-2) = -4
Thus,
The values of each composite function are:
-1, -1, 2, 0, 2, and -4.
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answer all ........................................................................................................................................................................................................................................................................................................................................1
Answer:
1. 39, 46
2. 180
Step-by-step explanation:
1. count up by 7
2. not sure..
What is the equation of a line that is parallel to −2x+3y=−6 and passes through the point (−2, 0)?
Enter your answer in the box.
Answer:
[tex]y=\frac{2}{3}x +\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]-2x+3y=-6\\3y=2x-6\\y=\frac{2}{3}x-2\\ \\\\Then\\y-0=\frac{2}{3}(x-(-2)\\ y-0=\frac{2}{3}x+\frac{4}{3} \\Therefore, the answer is y=\frac{2}{3}x+\frac{4}{3}[/tex]
What is the answer to this ive been doing this all day and still cant figure it out
The proof explained below shows that the triangles are congruent by the AAS congruence theorem.
What is the AAS Congruence Theorem?The AAS congruence theorem states that two triangles can be proven to be congruent to each other if the two angles and a non-included side in one triangle is equal or congruent to two corresponding angles and a corresponding non-included sides in the other triangle.
This implies that, once the criteria needed prove that two triangles are congruent by the AAS congruence theorem are two pairs of congruent angles and a pair of non-included congruent sides.
Using the AAS congruence theorem, the two-column proof that shows each statement and the reason are explained below.
Statement Reason
1. CA bisects angle BAD 1. Given
angle B ≅ angle D
2. Angle CAB ≅ angle CAD 2. Congruent angles formed from bisection
3. Side AC ≅ side CA 3. Reflexive property
4. Triangle ABC ≅ triangle ADC 4. AAS congruence theorem
Thus, the above reasons and statements shows that the two triangles, triangle ABC and triangle ADC, are congruent by the AAS congruence theorem.
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what is the approximate solution to this equation? 19+2 In x=25
The value of x from the given linear equation is equivalent to 1.1
Solving linear equationsLinear equations are equation that has a leading degree of 1. An example of a linear equation is y = mx + b
Given the equation
19+2 In x=25
2lnx = 25 - 19
Simplify to have:
2lnx = 6
lnx = 6/2
lnx = 3
Take the exponent of both sides
e^lnx = ln3
x = ln3
Hence the approximate solution to the given linear equation is 1.1.
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Find the length of side x to the nearest
tenth.
The length of x in the isosceles right triangle is 15.6 units.
How to find the side of an isosceles triangle?An isosceles triangle is a triangle that has two sides equal to each other and two angles congruent to each other.
The triangle above is an isosceles triangle. The triangle is also a right angle triangle. A right angle triangle is a triangle that has one of it's angles as 90 degrees.
Using Pythagoras's theorem, let's find the side x
c² = a² + b²
where
c = hypotenusea and b are the legsTherefore,
11² + 11² = x²
121 + 121 = x²
x = √242
x = 15.5563491861
Therefore,
x = 15.6 units
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A particle travels along the x-axis such that its position at time t is given by the function x(t) = 2t2 + t. What is the average speed of this particle over the interval 2 ≤ t ≤ 10?
4
25
32
200
The average speed of this particle over the interval 2 ≤ t ≤ 10 is 25 , the correct option is (b)25 .
In the question ,
it is given that
the position of the particle that travels along the x-axis at time t is given by the function
x(t)=2t²+t
the average speed of the particle can be calculated by using the formula
average speed = (change is distance)/(change in time)
particle position at t=2
x(2) = 2(2)²+2 = 2*4+2 = 10
particle position at t=10
x(10) = 2(10)²+(10)
= 2*100+10
= 200+10
= 210
So, change in distance = 210-10= 200
change in time = 10-2 = 8
Putting the values in the average speed formula we get
average speed = 200/8
= 100/4
=25
Therefore , the average speed of this particle over the interval 2 ≤ t ≤ 10 is 25 , the correct option is (b)25 .
The given question is incomplete , the complete question is
A particle travels along the x-axis such that its position at time t is given by the function x(t)=2t²+t . What is the average speed of this particle over the interval 2 ≤ t ≤ 10?
(a) 4
(b) 25
(c) 32
(d) 200
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the quotient of 21 and a equals 30
The resulting value for the quotient of 21 and a equals 30 is 7/10.
Quotient of two numbersThe result of dividing two numbers is known as the quotient. Six divided by two results in the number three.
Latin's "how many times" is the meaning of the word "quotient." That is really logical. For instance, the quotient of a and b is a/b
Given the statement "the quotient of 21 and a equals 30", this can be written mathematically as;
21/a = 30
Cross multiply
30a = 21
Divide both sides by 30
30a/30 = 21/30
a = 21/30
a = 7/10
Hence the value of a from the equivalent expression is 7/10.
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Identify a set of parallel and a set of perpendicular lines in this image.
m
B
LL
OBFCG, BF 1 CG
OBECG, AD 1 EH
O AD
EH, EHL BE
O AD EH, BF 1 CG
A set of parallel lines and a set of perpendicular lines are: BF║CG, AD⊥BF.
What are Parallel Lines?Parallel lines are straight lines that are of equal distance at every point away from each other, and therefore, do not intersect each other at any point. The sign "║" is used to indicate that two lines are parallel lines.
What are Perpendicular Lines?Lines that are said to be perpendicular lines are lines that intersect each other at right angle or 90 degrees. That is, at the point of their intersection, a right angle is formed which is 90 degrees. The sign "⊥" is used to indicate that two lines are perpendicular lines.
In the image given, lines BF and CG do not intersect at any point and they are of equal distance away from each other at every point, therefore, CG and BF are perpendicular lines.
Also, we can see that a right angle is formed at the point of intersection of lines AD and BF, therefore AD and BF are perpendicular lines.
Thus, we can state that: BF║CG, AD⊥BF.
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Write a paragraph that explains how the Sumerians were different from other people of their time.
Your paragraph must include a topic sentence, at least two support sentences, and a conclusion
sentence that restates but does not repeat the topic sentence.
The Sumerians were different from other people of their time as they wee more advanced.
Who were the Sumerians?The Sumerians were a southern Mesopotamian people whose civilisation flourished between approximately 4100 and 1750 BCE. Sumer was an ancient civilization that flourished in the Fertile Crescent region of Mesopotamia, between the Tigris and Euphrates rivers. Sumerians are regarded as the creators of civilisation as we know it today, according to their advancements in language, governance, building, and other fields.
They were able to take technologies produced elsewhere and use them on a far larger scale. This allowed them to mass-produce commodities such as textiles and pottery, which they could subsequently trade with others.
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Can anyone do these
Answer: 1. Complementary
2. Supplementary
3. 116
4. 17
5. A- 28 B-152 C-118