Create a birthday Polynomial with 07.01.2006
Answers
Answer:
Step-by-step explanation:
the birthday date is : 07/01/2006 so the numbers are : 07012006 let's switch them : 60021070 we have 8 numbers so our highest degree is 7 6*(x∧7)+0*(x∧6)+0*(x∧5)+2*(x∧4)+1*(x³)+0*(x²)+7*x+0*(x∧0) 6*(x∧7)+2*(x∧4)+x³+7xHere is another example :
Related Questions
Translate (11, 3) 8 units up and 14 units left
What’s the answer
Answers
Answer: 3, 11
Step-by-step explanation:
Y= 3+8 = 11
X= 11-14=3
Find an equation for the nth term of the arithmetic sequence.
a19 = -58, a21 = -164
a. an = 896 - 53(n - 2)
b. an = 896 - 53(n - 1)
c. an = 896 + 53(n + 1)
d. an = 896 - 53(n + 1)
Answers
Answer:
The common difference would be calculated as:
(a21-a19)/2
(-164--(-58 ))/2 (Replacing the values )
(-164 +58)/2 (Changing signs)
(-106)/2(Subtracting)
-53
Then we are going to replace the common difference(d) in the sequence formal with the 21st term . It is done for finding the first term of the sequence.
a21=a0+d*(n-1)
-164=a0+-53*(21-1) (Replacing the values)
-164=a1-53(20) (Subtracting)
-164=a1-1060 (Multiplying )
-164+1060=a1 (Adding 1060 on both sides of the equation)
896=a1
The answer would be : an= 896-53*(n-1), which is the option B.
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Select ALL correct answers. Which of the following verify that the triangle is a right triangle? Figures are not drawn to scale.
Figure A
Figure B
Figure C
Figure D
Figure E
Figure F
Answers
The figure that verify if the triangle is a right triangle are given as follows:
Figure A.Figure C.Figure D.What is the Pythagorean Theorem?The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The theorem is expressed as follows:
c² = a² + b².
In which:
c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.Hence the right triangles that respect the Pythagorean Theorem are given as follows:
Figure A, as 9² + 16² = 25².Figure C, as 12² + 5² = 13².Figure D, as 24² + 7² = 25².Figure E does not respect the theorem, as the hypotenuse should be of 5, while the side should be of 4.
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the product of any interger and 2 is greater than 2 what is the answer
Answers
Answer:
-1
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Answers
Answer:
3/2 is equivalent to 2/3 because
when u do 3/2 that means ur
doing 3x2 and 3x2 equals 6 and 2x3 eqauls 6.
Many cars have keyless entry. To open the lock, you may press a 5-digit code on a set of buttons like that illustrated. The code may include repeated digits like 11433 or 55512. 1-2 3-4 5-67-8 9-0 a) How many different 5-digit codes can be made using the 10 digits if repetition is permitted?
Answers
Answer:
You can make up to "9" different 5-digit codes
The slope-intercept form given (6,-5) & perpendicular to -5x - 7y = -17.
Answers
Answer:
\(y=\dfrac{7}{5}x-\dfrac{67}{5}\)
Step-by-step explanation:
Slope-intercept form of a linear equation:
\(y=mx+b\)
where:
m is the slope.b is the y-intercept.Rearrange the given equation so that it is in slope-intercept form:
\(\implies -5x-7y=-17\)
\(\implies -7y=5x-17\)
\(\implies y=-\dfrac{5}{7}x+\dfrac{17}{7}\)
Therefore, the slope of the given equation is -⁵/₇.
If two lines are perpendicular to each other (at right angles), the product of their slopes will be -1. Therefore, their slopes will be negative reciprocals of each other.
Therefore, the slope of the line perpendicular to the given equation is:
\(\sf m=\dfrac{7}{5}\)
Substitute the found slope and the given point (6, -5) into the slope-intercept formula and solve for b:
\(\implies -5=\dfrac{7}{5}(6)+b\)
\(\implies -5=\dfrac{42}{5}+b\)
\(\implies b=-\dfrac{67}{5}\)
Substitute the found slope and the found value of b into the slope-intercept formula to create the equation for the perpendicular line:
\(\implies y=\dfrac{7}{5}x-\dfrac{67}{5}\)
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4x+11=x²-10
PLS HELP.
Answers
Answer:
10+4x+11=x²-10+10 (add 10 both side)
21+4x-4x=x^2-4x (substract 4x in both side)
21-21=x^2-4x-21 (substract 21 in both side)
x^2-4x-21=0
x^2+3x-7x-21=0(we can write -4x as (3x)+(-7x)=(-4x)
x(x+3)-7(x+3)=0 (get common factor)
(x+3)(x-7)=0 (get common factor which is (x+3) by both)
x=-3 or x=7
Step-by-step explanation:
What number should be substracted from each of the numbers 17,14,22,18. So that the differences would be in proportion?
Answers
The numbers that should be subtracted from 17, 14, 22, and 18 to make their differences proportional are
\(3 \sqrt{} (6))/2\)
\(4 \sqrt{} (6)\)
\(-2 \sqrt{} (6)\)
To find the number that should be subtracted from each of the numbers 17, 14, 22, and 18 to make their differences proportional, we need to first find the common ratio of the proportion.
Let's start by finding the differences between adjacent numbers:
17 - 14 = 3
14 - 22 = -8
22 - 18 = 4
Now, we can see that the ratio of the first difference to the second difference is 3/-8, and the ratio of the second difference to the third difference is -8/4 or -2.
To make the differences proportional, we need to find the common ratio that relates all the differences. We can do this by taking the geometric mean of the two ratios we found:
\( \sqrt{} (3/-8 \times -8/4) = \sqrt{} (3/-2) = - \sqrt{} (6)/2\)
This means that the common ratio is
\(- \sqrt{} (6)/2\)
To find the number that should be subtracted from each of the original numbers, we can multiply each difference by this common ratio:
\(3 \times - \sqrt{} (6)/2 = (3 \sqrt{} (6))/2\)
\(-8 \times - \sqrt{} (6)/2 = 4 \sqrt{} (6)\)
\(4 \times \sqrt{} (6)/2 = \sqrt{} (6)\)
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find a1 in a geometric series for which sn = 93, r = 2, and n = 5
Answers
The first term, a1, in the geometric series is -3.
What is Geometric Series?
A geometric series is a series for which the ratio of two consecutive terms is a constant function of the summation index. The more general case of a ratio and a rational sum-index function produces a series called a hypergeometric series. For the simplest case of a ratio equal to a constant, the terms have the form
To find the first term, a1, in a geometric series given the sum, Sn = 93, the common ratio, r = 2, and the number of terms, n = 5, we can use the formula for the sum of a geometric series:
Sn = a1 * (1 - r^n) / (1 - r)
Plugging in the given values, we have:
93 = a1 * (1 - 2^5) / (1 - 2)
Simplifying the expression:
93 = a1 * (1 - 32) / (-1)
93 = a1 * (-31)
Now we can solve for a1 by dividing both sides of the equation by -31:
a1 = 93 / -31
a1 = -3
Therefore, the first term, a1, in the geometric series is -3.
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Please help asap. Look at picture
Answers
Answer:
corresponding angles
Step-by-step explanation:
Find the perimeter of this complex figure
Answers
Answer:
38
Step-by-step explanation:
9 + 10 + 2 + 6 + (9 - 2) + (10 - 6) = 38
The point where the lines containing the altitudes are concurrent is called the _____ of a triangle.
Answers
The point where the lines carrying the elevations intersect is the orthocenter of a triangle.
What is a triangle?A polygon with three edges and three vertices is called a triangle.
It is one of the fundamental geometric shapes.
The symbol for a triangle having vertices A, B, and C is ABC.
In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space).
In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.
All triangles are enclosed in a single plane if all of the geometry is the Euclidean plane, however, this is no longer true in higher-dimensional Euclidean spaces.
The orthocenter of a triangle is the intersection of the lines that carry the elevations.
Therefore, the point where the lines carrying the elevations intersect is the orthocenter of a triangle.
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in digging a pipe trench that measures 29 feet long, 2 feet 9 inches wide, and 3 feet 6 inches deep.
How many cubic yards of earth were removed from the site?
Answers
Answer:
10.34
Step-by-step explanation:
converting digits to feet,
3ft 6in = 3.5 ft
2ft 9in = 2.75 ft
now feet to yards
3.5ft = 1.16666667 yards (rounded)
2.75ft = 0.9166666667 yards (rounded)
29ft = 9.66666667 yards (rounded)
multiplying them, you'll get approximately 10.34 cubic yards (rounded), that's the volume.
or you can multiply the digits in feet,
3.5×2.75×29
= 279.125 cubic ft
now to convert to cubic yards from cubic ft,
279.125/3³
= 10.337963..
= 10.34 (rounded to the nearest hundredth)
Please help I’m being timed
Answers
Answer: D: x ∈ [0, 4)
Step-by-step explanation:
For a function:
y = f(x)
The range is the set of the outputs, the possible "y" values
The domain is the set of the inputs, the possible "x" values.
Now, we want to see the domain in which the function increases.
First, we can see that the whole domain of the graph is the interval:
[0, 9]
And a function is increasing if, reading from left to righ, the graph goes upwards.
In the image, we can see that the graph increases in the segment:
[0, 4)
Where we have an open segment because in the point x = 4 the graph stops increasing.
Then the domain where the function increases is:
D: x ∈ [0, 4)
What is the result of adding these two equations?
4x-4y=-2
-9x-4y=-3
Answers
gather like terms :
4x-9x-4y-4y = -5
-5x-8y = -5
Find the dot product v. w. =v-10i 9j. w --4i-8j A) -72
B) -40 C) -112 D) 32
Answers
To find the dot product between vectors v and w, we need to multiply the corresponding components of the vectors and then sum up the results. Given that v = -10i + 9j and w = -4i - 8j, let's calculate the dot product:
v · w = (-10)(-4) + (9)(-8)
= 40 - 72
= -32
Therefore, the dot product between vectors v and w is -32.
None of the provided answer choices (-72, -40, -112, 32) match the calculated value of -32. It's possible that there may be a mistake in the answer choices or the values given for vectors v and w. Please double-check the values and answer choices provided to ensure accuracy.
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the table shows the number of books by type checked out from the school library on monday. select the statement that is true .a. for every 3 mystery books checked out 4 nonfiction books were checked out b. for every 3 mystery books checked out 6 nonfiction books were checked out c. for every 4 mystery books checked out 3 nonfiction books were checked out d. for every 6 mystery books checked out 3 nonfiction books were checked out
Answers
The ratio between mistery books and non fiction books is:
\(\frac{24}{18}=\frac{6\cdot4}{6\cdot3}=\frac{4}{3}=\frac{\text{mistery books}}{\text{non fiction books}}\)therefore, we have that for each 4 mistery books checked out, there are 3 non fiction books checked out.
What is the distance between the points (1,4) and (3,7)
Answers
Answer:
\(2\sqrt{10}\)
Step-by-step explanation:
To find the distance between points, we can use the following formula:
\(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 }\)
We have two coordinates; (1, 4) and (3, 7)
Let's plug these values into the equation
\(d = \sqrt{(3 - 1)^2 + (7 - 1)^2} = 2\sqrt{10}\)
Good luck!
Triangle BCD, with vertices B(4,-7), C(6,-8), and D(7,-2), is drawn on the coordinate
grid below.
S
Answer: A =
6
7
D
9
What is the area, in square units, of triangle BCD?
units
Submit Answer
K
Answers
Answer: The area is 6.5
Given amplitude 5, period of pi and a vertical shift of 2, write a sine equation.
Answers
So, the final equation for the sine function is:
\(y = 5 sin(2x - \pi /2) + 2\).
How to write general trigonometry equation?The general form of a trigonometric equation can vary depending on which trigonometric function is being used (sine, cosine, tangent, etc.), but the most general form is:
\(f(x) = A sin(Bx + C) + D\)
where f(x) is the trigonometric function, A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift. The phase shift and vertical shift are optional components and may not always be present in a trigonometric equation.
If using cosine instead of sine, the equation would be:
\(f(x) = A cos(Bx + C) + D\)
If using tangent, the equation would be:
\(f(x) = A tan(Bx + C) + D\)
Other trigonometric functions, such as secant, cosecant, and cotangent, can also be used in trigonometric equations, but the general form would follow the same structure as above.
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write an equation for the horizontal line that passes through
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the equation of the horizontal line passing through (-3, 4) is y = 4.
The equation of a horizontal line is of the form y = c, where c represents the y-coordinate of any point on the line. In this case, we are given that the line passes through the point (-3, 4). Since the line is horizontal, the y-coordinate remains constant for all points on the line.
Therefore, the equation of the horizontal line passing through (-3, 4) is y = 4. This means that no matter what x-value we choose, the y-value will always be 4.
In other words, all the points on this line will have a y-coordinate of 4.
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Complete question is below
Write the equation of the horizontal line that passes through (-3, 4).
The equation for the horizontal line that passes through a given point is y = b.
A horizontal line is a straight line that is parallel to the x-axis. The equation of a horizontal line is of the form y = c, where c is a constant. Since the line is horizontal, the value of y remains constant for all values of x. Therefore, the equation of a horizontal line passing through a given point (a, b) is y = b.
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Can anyone help me with this?
Answers
Answer:
a=30°; b=40°;c=40°; d=40°; e=110°: f=110°; g=30°; h=140°; i=70°; j=70°
What is the average of 120 km in 3 hours?
Answers
The average speed of the car is 40 km/hr.
It would take a car 3 hours to cover 120 km at a speed of 40 km/h.
The car moves for a time period of 3 hours.
The car has to travel a total distance of 120 km.
As we know the formula of speed is distance/time,
Hence, s = d/t km/hr
Let speed, distance and time be s, d, t respectively.
So by putting the values,
speed s = d/t = 120/3 = 40 km/hr.
Hence it can be said that the car would cover 120 km at the speed of 40 km/hr in 3 hours.
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Which ratio is equivalent to 3:6
Answers
Answer:
I can't see what the options are, but any fraction equal to 1/2 will be equal to 3:6.
Step-by-step explanation:
Treat a ratio like a fraction. In this case, 3 is the numerator and 6 is the denominator. If you reduce 3/6, you get 1/2. Fractions/ratios also equal to 1/2 or 3/6 are:
2:4
4:8
5:10
6:12
7:14
8:16
9:18
10:20
If any of these ratios are not one of the options, comment below with the choices and I will help you narrow it down.
Answer:
6:12,
Step-by-step explanation:
equivalent ratios are when all numbers in a ratio can be divided or multiplied to get a whole number. for example, 3:6. the 3 can be multiplied by 2 to get 6, and the 6 can be multiplied by 2 to get 12.
anyways bye taniya from concord
The number of pennies in a jar of coins is 4 more than 5 times the number of dimes in the jar Let p = the number of pennies in the jar. Let d = the number of dimes in the jar. Which equation represents this situation?
Answers
The equation that represents this situation is p = 4 + 5d
What are algebraic expressions?Algebraic expressions are known as mathematical expressions made up of:
VariablesConstants AdditionSubtractionMultiplicationSome other algebraic operationsFrom the information given, we have that:
p is the number of pennies in the jard is the number of dimes in the jarThe number of pennies in a jar of coins is 4 more than 5 times the number of dimes in the jarThe equation this represents is:
p = 4 + 5d
Thus, the equation that represents this situation is p = 4 + 5d
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Pls help find The value of x of the polygon
Answers
Answer:
97°
Step-by-step explanation:
First, find the sum of the interior angles by using the following formula.
\(S = (n-2)180\)
S is the sum and n is the number of sides
S = (5 - 2)180
S = (3)180
S = 540°
Next create an equation by adding all the interior angles together and setting the sum equal to the sum of the interior angles and solve for x, the missing angle.
72 + 136 + 127 + 108 + x = 540
443 + x = 540
443 - 443 + x = 540 - 443
x = 97°
Simplify the following expressions
a. 2/5- 1/6 b. 3/7-7/14 c. 5/8- 2/3
Answers
Multiply the denominator until both denominators are the same
12/30 - 5/30
Subtract the numerator but NOT the denominator
Final Answer: 7/30
2.) 3/7-7/14
Multiply the denominator until both denominators are the same common denominator
6/14 - 7/14
Subtract the numerator but NOT the denominator
Final Answer: -1/14
3.) 5/8-2/3
Multiply the denominator until both denominators are the same
15/24 - 16/24
Subtract the numerator but NOT the denominator
Final Answer: -1/24
How many of the shapes below are trapeziums?
Answers
Answer:
2
Step-by-step explanation:
The K and N are the trapeziums and the two lines opposite to them go in a parallel line
2. Today an exercise equipment store took 15% off the price of a treadmill, and for the next 2 days, it will take 15% off the previous day's price. If the price of the treadmill yesterday was $4000, what will be the price of the treadmill 2 days from now?
Part I: What is the price of the treadmill today?
Part II: What will be the price of the treadmill tomorrow?
Part III: What will be the price of the treadmill 2 days from now?
Part IV: If the price of the treadmill is written as a function of the number of days since yesterday in the form f(x)=Pa^x , what is the value of a? What kind of function is this?
Answers
1) The price of the treadmill today is $4000.
2) The price of the treadmill tomorrow is $3400.
3) The price of the treadmill 2 days from now is $2890.
4) The given function will be exponential \(y = 4000(0.85)^x\).
What is an exponential function?The function which is having the exponents and the continuous increase or decrease in the value of the functions is called an exponential function.
The mathematical form of the function will be,
\(y = ab^x\)
Given that today an exercise equipment store took 15% off the price of a treadmill, and for the next 2 days, it will take 15% off the previous day's price. If the price of the treadmill yesterday was $4000.
1) The price of the treadmill today,
\(y = ab^x\)
y = 4000 x (0.85)°
y = $4000
2) The price of the treadmill tomorrow,
\(y = ab^x\)
y = 4000 x ( 0.85 )¹
y = $3400
3), The price of the treadmill 2 days from now,
\(y = ab^x\)
y = 4000 x ( 0.85 )²
y = $2890
4), The function of the price of the treadmill will be,
\(y = ab^x\)
\(y = 4000(0.85)^x\)
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