Answer:
See explanation
Step-by-step explanation:
d=degree change
d=-4-27
d=-31 degrees
If f(x) = -x³, g(x) = 3x² - 1, and h(x) = 2x + 5, what is the degree of [f o go h](x)?
2356
The degree of the polynomial formed is 6.
The degree of a polynomial is the highest degree of the variables present with non-zero coefficients.
For example the polynomial has three 7x³y²+9xy+4 terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term.
Now the given functions are:
[tex]f(x)=x^3[/tex] ,g(x)=3x²-1 and h(x)=2x
Now we have to find (f ° g° h)(x). Let us first find (g°h)(x).
(g°h)(x) is equal to g[h(x)]
=g[2x+5]
=3(2x+5)²-1
=3(4x²+20x+25)-1
=12x²+60x+74
Now we find (f ° g° h)(x)
(f ° g° h)(x)=f[g(2x+5)]
f[g(2x+5)]=f(12x²+60x+74)
f(12x²+60x+74)=(12x²+60x+74)³
Now we have to simplify the expression:
(12x²+60x+74)³
=[tex]1728x^6+25920x^5+161568x^4+535680x^3+996336x^2+985680x+405224[/tex]
The largest degree of the variable x in the polynomial is 6.
hence the degree of [f o go h](x) is 6.
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find the smaller angle given the following: the angles are supplementary. the smaller angle is equal to 1⁄4 of the larger angle.
Thus, 36° is the smaller angle and 144° is the greater angle.
What is an supplementary angel?For instance, the complement angle of 130° and the angle of 50° is 180°. Complementary angles add up to 90 degrees. When the two extra angles are combined, they create a straight line and an angle. The two angles that complement one another do not necessarily need to be close to one another, it should be emphasised. As a result, two angles may be supplementary if their sum is 180 degrees. The study of various shapes is one of the main areas of mathematics.
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Convert 13000 milligrams into pounds. Round your answer to the nearest hundredth
Answer:
0.03 is the correct answer
Step-by-step explanation:
0.02866009 = 0.03
Nate Belloir earns a weekly commission of 2.5% on sales of $75,000 or less and 3.0% on sales in excess of $75,000. One week Nate’s commission was $2,135. What was the total of his sales for that week? Need answer ASAP.
Nate's total sales is 83,666.67.
What is the total sales?The first step is to determine the commission on sales of $75,000
Commission : 0.025 x $75,000 = $1,875
The second step is to determine the amount of commissions earned on sales above $75,000: $2135 - $1,875 = $260
The next step is to determine the amount earned above $75,000
Amount of sales above $75,000 : $260 / 0.03 = $8,666.67
Total sales for the week : $8,666.67 + $75,000 = 83,666.67
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Can you solve please 8=2k-8-6k
Answer:
k = -4
Step-by-step explanation:
8 = 2k - 8 - 6k
Collect like terms
8 = -4k - 8
Add 4k to both sides (nice to have variable on left, constants on right)
8 + 4k = -8
Subtract 8 from both sides
4k = -16
Divide both sides by 4
k = -4
a persian rug has a width of 9.00 feet and a length of 12.0 feet. what is the area of this rug in m2? (there are exactly 2.54 cm in one inch.)
The area of a persian rug in a metre square is given by 10.03 m2. It is calculated by using the concept of area and conversion of units of a quantity.
What is the conversion of units?
Conversion of units is the transformation between various units of measurement for the same quantity, simply the conversion of units deals with converting a quantity into different units without changing its magnitude.
Calculation of the area of the persian rug with given width and length
Given:
Length = 12 feet
Width = 9 feet
The basic step involved in solving this problem is to convert the length and width given in feet into metre
We know that 1 feet = 0.3048 m
Length = 12 × 0.3048
= 3.657 m
Width = 9 × 0.3048
= 2.743 m
Area of rug = length × width
= 3.657 × 2.743
= 10.03 m2
Hence, the required area of the persian rug is 10.03 m2.
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what equations are equivalent to 18 − 15 = − 2x/5 + 7x/15
The equation which is equivalent to the given expression 18 − 15 = − 2x/5 + 7x/15 is (-3 = 5x/5).
What is defined by the linear equation with one variable?The basic equation used to demonstrate and overcome for an unknown quantity is a linear equation for one variable.
It is always a straight line and can be conveniently represented graphically. A linear function is a simple way to represent a mathematical statement. Unknown quantities can be represented by any variable or symbol, but in most cases, a variable 'x' is employed to represent the arbitrary number in a linear equation with one variable. A linear equation can be solved using a variety of simple methods. To produce a desired value of the unknown quantity, the variables have been separated on one side of the equation as well as the constants are isolated on the other.The given equation is;
18 − 15 = − 2x/5 + 7x/15
Simplifying the constant and variable part.
- 3 = 5x/5
Multiplying both side by 5;
- 15 = x
or, x = -15.
Thus, the required equivalent equation is - 3 = 5x/5 and the value of variable x is -15.
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Sasha purchased a pair of jeans for 40% off of $75. How much did she pay for the jeans
Answer:
$45
Step-by-step explanation:
100% = $75
100% - 40% = 60% (discounted price)
60% = 0.6
0.6 x 75 = 45
60% = $45 (discounted price)
help would be very appreciated
Answer:
g(-6) = -6
g(0) = 5
g(7) = 8
h(-6) = 10
h(0) = -1
h(7) = -4
Step-by-step explanation:
g(x) = (1/3) f(x)
g(-6) = (1/3)(-18) = -6
g(0) = (1/3)(15) = 5
g(7) = (1/3) (24) = 8
h(x) = -g (x) + 4
h(-6) = -(-6) + 4 = 10
h(0) = -(5) + 4 = -1
h(7) = -(8) + 4 = -4
I hope this helps!
The graph above shows the frequency distribution of
a list of randomly generated integers between O and
10. What is the mean of the list of numbers?
Solving the Question
The frequency tells us how many times the integer appears in the set of numbers.
The integer tells us the numbers that appear in the set of numbers.
To find the mean, we add up all the numbers in the set and divide the sum by the number of integers.
Let's write the information on the graph as a list of numbers:
0, 1, 2, 3, 3, 3, 4, 4, 6, 7, 8, 10
Find the sum:
51
Divide the sum by the number of integers (which is 12):
51/12
= 4.25
AnswerThe mean is 4.25.
The ratio of students who made
only 30 students are in
kindergarten. What is the ratio
of grade 1 students to
kindergarten students?
What is the quotient of 7/8 divided by 2/5?
9/13
7/20
35/16
51/40
The quotient of 7/8 divided by 2/5 will be C. 35/16.
How to calculate the value?The quotient simply means that we have to divide.
Therefore, the quotient of 7/8 divided by 2/5 will be:
= 7/8 ÷ 2/5
= 7/8 × 5/2
= 35/16
In conclusion, the correct option is C
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Explain how using properties
can help you mentally find answers
to problems.
I think using properties can help you mentally find answers to problems because if you know what property you are going to use, then you can know what you are doing, thus it's helping you mentally find answers.
Write the equation of each circle.
center at (-5,3) , passes through (1,-4)
m= ???
find the missing length m
Answer:
5
Step-by-step explanation:
Does anyone know the correct answer for this
Answer:
you have it right.
Domain is 3[tex]\leq[/tex]x[tex]\leq[/tex]positive infinity
Range is 5[tex]\leq[/tex]y[tex]\leq[/tex]positive infinity
Step-by-step explanation:
a function is decreasing on an interval if the output values decrease as the input values decrease
true or false?
The statement that a function is decreasing on an interval if the output values decrease as the input values decrease is FALSE.
What is a decreasing function?A decreasing function refers to a function where the value of the output moves in a different direction from the value of the input.
For instance, in a decreasing function, the value of the output would decrease when the value of the input increases.
In conclusion, it is false that a function is decreasing if the output and the input are both decreasing.
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a weding planner rented 13 tables and 104 chairs for an up coming wedding. What is the chair to table ratio?
Answer: 1:8
Step-by-step explanation:
13 tables
104 chairs
Ratio: 13:104
divide both sides by 13
13:104 = 1:8
What is the value of x?
(x+4)=-6
O x = 35
O x = -25
O x = 25
Ox=35
Answer:
Step-by-step explanation:
(x+4) = -6
x + 4 + 6 = -6 + 6
x = 10
Suppose the equation for line A is y = 6/5 x - 10 Line A is parallel to line B, which is perpendicular to line C. If line D is perpendicular to line C and perpendicular to line E, what is the slope of line E? Justify your conclusion.
If slopes of the given lines are solved and observed, we get the slope of line E is [tex]m_{E}[/tex] = [tex]\frac{-5}{6}[/tex]
As per question statement, the equation for line A is [tex]y = \frac{6x}{5} - 10[/tex] Line A is parallel to line B, which is perpendicular to line C. The line D is perpendicular to line C and perpendicular to line E.
Before solving this question, we need to know about some basic formulas and concepts of equation for a line.
If Lines are parallel, their slopes are equal and if lines are perpendicular, the product of their slopes is -1.
i.e., if [tex]m_{1}[/tex] and [tex]m_{2}[/tex] are slopes of two lines then if,
[tex]m_{1} = m_{2}[/tex] then lines are parallel
Now slope of line A can be found out by formula [tex]y=mx+c[/tex] hence slope of line A [tex]m_{A}[/tex]= [tex]\frac{6}{5}[/tex]
Line B is parallel to A so, [tex]m_{B}[/tex] = [tex]\frac{6}{5}[/tex]
Line C is perpendicular to B so [tex]m_{C} * m_{B} = -1\\m_{C} = \frac{-5}{6}[/tex]
Line D is perpendicular to C so [tex]m_{D} *m_{C} = -1\\m_{D} = \frac{6}{5}[/tex]
Line E is perpendicular to D hence [tex]m_{E} * m_{D} = -1\\m_{E} = \frac{-5}{6}[/tex]
Therefore the slope of line E is [tex]\frac{-5}{6}[/tex]
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What is the equation of the line that passes through the point (-6,-3) and has a slope of -1/6?
Answer:
y = (-1/6)x - 4
Step-by-step explanation:
Line equations are usually expressed in the following format:
y = mx + c
Where m is the gradient (slope), and c is the y-intercept.
We can fill in the value of m right away as we are given it in the question:
y = (-1/6)x + c
And we are given the point (-6,-3), so we can fill in the values for x and y, in order to find the value of c:
-3 = (-1/6)(-6) + c
Rearrange and simplify this:
-3 = 1 + c
c = -4
Finally, substitute the value of c back into the original equation to get the final equation of the line:
y = (-1/6)x - 4
A sled team consists of 11 dogs and the musher. each dog weighs 70 pounds and the musher weighs 160 pounds. what is the average weight of the sled team members?
Answer:
C. 73.5lbs
Step-by-step explanation:
please help with this qestion, I just need the answer in numbers
Answer:
Step-by-step explanation:
All that is needed here is the difference[tex]=0,738-0,585\\=0,153\\[/tex]Answer:
0.153 or 15.3%
Step-by-step explanation:
Subtract save percentage last season from save percentage this season:
0.738 - 0.585 = 0.153
Convert the decimal answer to a percent
0.153 x 100% = 15.3%
answer pls! NEED HELP
Answer:
The first one
Step-by-step explanation:
Because the max is 6, the left ones are only right. Also a point is must be negative so it is the top left one.
use vectors to prove that the line joining the midpoints of two sides of a triangle is parallel to the third side and half its length.
The line joining the midpoints of two sides of a triangle is parallel to the third side and half its length.
Triangle law of vectors states that for a ΔABC
The sum of vectors of two sides is equal to the third side vector.
Two vectors are said to be Parallel if one vector is scalar multiple of other.
In the given figure
In ΔABC , D is mid point of AB and E is the mid point of AC .
By using triangle law of vectors for ΔADE
AE+AD=ED......(1)
Now using triangle law of vectors addition for ΔABC
CA+AB=CB ....(2)
(as given that E is the mid point of CA , we can write [tex]AE=\frac{1}{2} CA[/tex]
CA=2AE.....(3)
and D is mid point of AB , we can write [tex]AD=\frac{1}{2} AB[/tex]
AB=2AD......(4)
Substituting (3) & (4) in (2) we get
2AE+2AD=CB
2(AE+AD)=CB
SUBSTIUTTING VALUES OF (AE+AD) from (1) we get
2ED=CB
[tex]ED=\frac{1}{2} CB[/tex]
Hence , the line joining the midpoints of two sides of a triangle is half of third side.
Since ED is (1/2) of CB i.e. ED is scalar multiple of CB.
Hence they are parallel.
Therefore , The line joining the midpoints of two sides of a triangle is parallel to the third side and half its length.
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Match each pair of angle measures of a triangle with the remaining angle measure.
16 degrees and 102 degrees
38 degrees
119 degrees and 23 degrees
28 degrees and 87 degrees
96 degrees and 51 degrees
수
↑
33 degrees
62 degrees
65 degrees
The third angle of 16 degrees and 102 degrees is 62 degrees.
The third angle of 119 degrees and 23 degrees is 38 degrees.
The third angle of 28 degrees and 87 degrees is 65 degrees.
The third angle of 96 degrees and 51 degrees is 33 degrees.
What is the third angle?A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
In order to determine the missing angle, subtract the sum of the two given angles from 180.
180 - (16 + 102) = 62
180 - (119 + 23) = 38
180 - (28 + 87) = 65
180 - (96 + 51) = 33
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100 PTS!! Answer for alg 2a (U3 L10) unit test
1. Which set of ordered pairs in the form of (x, y) does not represent a function of x?
{(0, 2), (1, –1), (2, 3), (3, –2)}
{(0, –2), (1, 1), (2, 3), (3, –2)}
{(0, 2), (–1, –1), (2, –3), (3, 2)}
{(0, 2), (1, 2), (1, –2), (3, 2)}
2.What is (are) the x-intercept(s) of the function graphed above?
0 only
–3, 0, and 4
–4, 0, and 3
–12.5 and 21
3. What is f(–5) if f(x) = |2x – 1| + 10?
21
19
–1
–21
4. Which does not describe the same situation?
(A) y = 3x + 5
(B) x –3 1 4
y –4 8 17
(C) graph
(D) y is five more than three times x.
5. What is an equation of the line in slope-intercept form?
m = 2 and the y-intercept is (0, 3)
y = 3x + 3
y = 2x + 3
y = 2x – 3
y = –3x + 2
Answer if you know the answers and the rest of the answers as well. (19 question test)
Answer:
Step-by-step explanation:
{(0, 2), (1, –1), (2, 3), (3, –2)}
Answer:basically, x never reats with a different y
(x,y)
A is a fn of x since x never repeats
B is a fn of x since x never repeats
C is a fn of x since x never repeats
D is not since we have (1,2) and (1,-2) so this is the answer
Step-by-step explanation:
What is the nth term of 8-n
Answer:
-1
Step-by-step explanation:
Tn = a+(n-1)d (general formula)
Tn = 8-n (given formula)
T9 =8-9
T9=-1
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 6 liters of natural oil for every 5 liters of synthetic oil. In order to make 671 liters of Petrolyn oil, how many liters of natural oil are needed?
According to the given statement,
366 liters of natural oil is needed to make 671 L synthetic oil.
What is Synthetic Oil?
Essential oils, which are more natural, are slightly different from synthetic oils. An intentionally created chemical component is present in synthetic oils, which are used as lubricants.
Full synthetics and semi-synthetic oils are the two primary types of synthetic oils. Full synthetics originate from crude oil or byproducts in this situation. Conventional oils are produced using chemical procedures rather than distillation. The resulting synthetic oil has a higher molecular make-up and frequently exhibits more consistent characteristics. Synthetic oils are used in many cosmetic and medicinal goods, just like their more natural equivalents.
According to the given values;
The ratio of natural to synthetic oil
= 6:5
If 671 liters have to be made then,
Add 6+5=11
So, 6/11 of 671liters will be = 366 liters of natural oil
and, 5/11 of 671 liters will be = 305 liters of synthetic oil
Hence, 366 liters of natural oil is needed.
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consider randomly selecting a student at a large university, and let a be the event that the selected student has a visa card and b be the analogous event for mastercard. suppose that
It is not possible that the intersection case is P(A B)=0.5 .
What is intersection?The set of all objects that are members of both sets A and B is represented by the intersection of the two sets A and B, abbreviated as A∩B.
If there is any element x that is an element of both A and B, then we can also say that A intersects (meets) B at x. If A∩B is an inhabited set, which means that there must be some x such that x∈A∩B exists, then A intersects B equivalently.
If A does not intersect B, then A and B are said to be disjoint. They share no elements, to put it simply. If the intersection of A and B contains nothing—A∩B=Ф—then A and B are disjoint.
Explanation:
The likelihood of occurring of an event is called probability.
Consider two events A and B are occurred with probabilities P(A) and P(B) respectively.
The probability that both the events occurs is,
P(A and B)=P(A∩B)
When both the events are independent,
P(A and B)=P(AB) = P(A)x P(B)
The probability that either A or B occurs is,
P(A or B)= P(AUB) = P(A)+P(B)-P(A∩B)
When both the events are mutually exclusive the probability that either A or B occurs is,
P(A or B)=P(AUB) = P(A)+P(B)
The compliment of the probability is,
P(A)=1-P(A)
The conditional probability of occurring of an event A when it is given that B had already occurred is,
P(A|B)=P(A∩B)/P(B)
Let A represent the situation where the chosen person has a Visa credit card and B represent the situation where they have a Master card. The probability of occurring event A is 0.6 and the probability of occurring event B is 0.4 that is, P(A)=0.6, P(B)=0.4 .
It is known that P(A B)∠P(A) and P(A B)∠P(B) . So, it is not possible that the intersection case, P(A B)=0.5 .
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