Answer: A. V: x = –4; H: y = 4
Step-by-step explanation:
Solve for n
-19=-8+n
Answer:
8-18=n
-10=n
therefore
n=-10
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{n = -11}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{-19 = -8 + n}[/tex]
Find: [tex]\textsf{Solve for n}[/tex]
Solution: In order to solve for n we need to add 8 to both sides which would cancel -8 on the right side and isolate n giving us the value of n.
Add 8 to both sides
[tex]\textsf{-19 + 8 = -8 + 8 + n}[/tex][tex]\textsf{-19 + 8 = n}[/tex][tex]\textsf{-11 = n}[/tex]Therefore, the final answer would be that n is equal to -11.
The function D(t)=18t2−130t gives the distance a car going a certain speed will skid in t seconds. Find the time it would take for the car to skid 150 feet.
The time it will take for the car to skid for 150 feet is 8.23 seconds.
How to find the time the car will skid?The function D(t) = 18t² − 130t gives the distance a car going a certain speed will skid in t seconds.
The time the it would take for the car to skid for 150 feet can be calculated as follows:
Therefore,
D(t) = 18t² - 130t
150 = 18t² - 130t
18t² - 130t - 150 = 0
divide by 3
9t² - 65t - 75 = 0
Hence,
t = 65 ± 5√277 / 18
t = 8.23425471586 or -1.01166666667
Hence,
t = 8.23 seconds.
Therefore, the time it will take for the car to skid for 150 feet is 8.23 seconds.
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What must be true in order to find a sum for an infinite geometric series?
Answer:
0 < r < 1
Step-by-step explanation:
That every sequence gets multiplied by a number less than 1 but more than 0
The law is
Common ratio or r must lies in between 0 and 1
It means
r is in (0,1)
r is greater than 0 but less than 1The formula is
[tex]\boxed{\sf S_{\infty}=\dfrac{a}{1-r}}[/tex]
How to answer this problem
Answer:
m<C = 12.0 °
Step-by-step explanation:
Since we know that this is a non-right triangle, we must use either the law of sines or law of cosines to find m<C.
The information we now have only allows us to use the law of sines, which focuses on proportions:
[tex]\frac{SinA}{a}=\frac{SinB}{b}=\frac{SinC}{c}[/tex]
Thus, we can use:
[tex]\frac{sin(98)}{19}=\frac{sinC}{4}\\ 4*sin(98)=19*sinC\\ \frac{4*sin(98)}{19}=sinC\\ sin^-1\frac{4*sin98}{19}=12.033=12.0[/tex]
The sin^-1 represents the sin inverse, which you must use to find angle measures.
An urn contains balls numbered 1 through 15. a ball is chosen, returned to the urn, and a second ball is chosen. what is the probability that the first and second balls will be a 6?
A coach shows the following ratio table to a team. The table shows the average amount of calories burned for a certain number of minutes of running.
Practice
Minutes of running
Calories burned
4
20
8
40
?
100
Based on the table, how many minutes does a person need to run to burn 100 calories?
12
20
28
68
Based on the table, the minutes a person has to run to burn 100 calories is 20 minutes
How many minutes does a person have to run?Ratio shows the equivalent relationship that exists between two or more numbers. A ratio table can be described as table that shows equivalent relationship between two numbers.
The first step is to determine the ratio between the minutes run and the calories burned. To do this, divide any of the minutes run on the table by the corresponding calories burned.
Ratio = minutes run / calories burned
8 / 40 = 1/5
Now, multiply this ratio by 100
1/5 x 100 = 20 minutes
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4. Which of the following can be used
to support the idea that the set of
polynomials is closed under
multiplication?
A (5x-1)(3x² +4x)
B
(9x³-5)(2x-17)
(10x0.5-8)(5x0.5 +4)
D(2x¹5x¹)(7x-2x5)
The option that can be used to support the idea that the set of polynomials is closed under multiplication is; Option C: (10x^(0.5) - 8)(5x^(0.5) + 4)
What is the Closure property under multiplication?When multiplying polynomials, the variables' exponents are added, according to the rules of exponents. It is pertinent to note that the exponents in polynomials are whole numbers. The whole numbers are closed under addition, which guarantees that the new exponents will be whole numbers. Thus, we can also say that the polynomials are closed under multiplication.
Now, looking at the options, we can say that option C is the only polynomial that is closed under multiplication because its' variables and exponents will not change;
(10x^(0.5) - 8)(5x^(0.5) + 4)
The output will retain the same thing.
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4/7+3/7 1/5.3/2-4/10
Answer:
3/10
Step-by-step explanation:
=4/7 + 9/70 - 4/10
=l.C.M of 7 , 70 and 10 =70
=4/7 .10/10 +9/70 -4/10 .7/7
=40/70 +9/70 -28/70
=40+9-28/70
=49-28/70
=21/70
=3/10
6 Find the value of x from the following figures.
1)
Which sequence is modeled by the graph below?
We can observe
9/3=33/3=1Its a geometric progression having first term 9(3)=27 and common ratio as 1/3
So
The firmula is
a_n=27(1/3)^{n-1}Option C
Answer:
[tex]a_n=27\left(\dfrac{1}{3}\right)^{n-1}[/tex]
Step-by-step explanation:
From inspection of the graph, the given points are:
(2, 9)(3, 3)(4, 1)If we draw a line through the given points, the line is a curve rather than a straight line. If the line was a straight line, the graph would be modeled as an arithmetic sequence. Therefore, as the line is a curve, the given points are modeling a geometric sequence.
General form of a geometric sequence:
[tex]a_n=ar^{n-1}[/tex]
where:
a is the first termr is the common ratio[tex]a_n[/tex] is the nth termRewrite the given points as terms of the sequence:
(2, 9) ⇒ a₂ = 9(3, 3) ⇒ a₃ = 3(4, 1) ⇒ a₄ = 1To find the common ratio r, divide consecutive terms:
[tex]\implies r=\dfrac{a_3}{a_2}=\dfrac{3}{9}=\dfrac{1}{3}[/tex]
Calculate the first term (a) by substituting the found value of r and the given values of one of the terms into the formula:
[tex]\implies a_2=9[/tex]
[tex]\implies a\left(\dfrac{1}{3}\right)^{2-1}=9[/tex]
[tex]\implies \dfrac{1}{3}a=9[/tex]
[tex]\implies a=27[/tex]
Substitute the found values of r and a into the general formula to create the sequence modeled by the graph:
[tex]a_n=27\left(\dfrac{1}{3}\right)^{n-1}[/tex]
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The line y= mx + c is parrallel to the line y=2x + 8
The distance AB is 9 units
Find the value of m and the value of c.
Answer: 2 and -10 respectively
Step-by-step explanation:
m in the equation is 2 as it is parallel to a line with a slope of 2
Both point A and B are on the x-axis so both of them have a y value of 0
To find the x value of A, we have to substitute y = 0 into the equation
2x + 8 = 0
x = -4, so the coordinate for A is A(-4,0)
As AB is 9 units, we can figure out that B(5,0)
Substitute x = 5 and y = 0 into the equation y = 2x + c to find c
0 = 2(5) + c
c = -10
So m = 2 and c = -10
The table shown below gives the estimated number of text messages sent in the U.S. by year. Approximately how many times as many text messages were sent in the U.S. in 201120112011 as in 200520052005?
The approximate number of text messages sent in 2011 is 2 x 10^1.
What is the approximate number of text messages sent in 2011 ?Scientific notation is used in expressing large numbers in smaller numbers. To write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
118, 000, 000, 000 in scientific notation is 1,18 x 10^11
2,357, 000, 000, 000 in scientific notation is 2.357 x 10^12
Difference in messages sent in 2011 compared to 2005 : (2.357 / 1.18) x 10^(12 - 11)
2 x 10^1
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Fractions equivalent to 2/100
Answer:
1/50
Steps:
Recall 2 can divide 100
therefore
2/100 = 1/50
the perimeter of a rectangular plot of land whose length is (2x+5) and width (x-10)m is 80m Find;
i. the value of x
ii. the area of the plot
iii the cost of weeding the plot at $ 0.24 per m square
Answer:
x = 15
The area is 175 [tex]meters^{2}[/tex]
Cost of weeding is $42
Step-by-step explanation:
The perimeter includes two lengths and two widths, so the equation for x would be
2(2x +5) + 2(x -10) = 80 Distribute the 2's
4x + 10 + 2x -20 = 80 Combine the like terms
6x -10 = 80 Add 10 to both sides
6x = 90 Divide both sides by 6
x = 15
Area is length times width. We need to find the length and width.
2x + 5
2(15) + 5
30 + 5
35 is the width
x -10
15-10
5 is the length
A = (l)(w)
A = (35)(5)
A = 175 The area is 175
The cost of weeding is 175 x .24 = 42
This question is down below.
Answer:
Step-by-step explanation:
15 hope it help
Pls answer both the question its urgent
Answer:
not sure but I think it is this
Consider the following set of equations:
Equation A: y = -x + 5
Equation B: y = 6x - 2
Which of the following is a step that can be used to find the solution to the set of equations?
O-x=6x + 2
O-x-2= 6x + 5
O-x+5= 6x-2
dations:
O-x+ 5 = 5x
The correct option is the thrid one, the first step is
-x+5= 6x-2
Which of the following is a step that can be used to find the solution to the set of equations?Here we have the system of equations:
y = -x + 5
y = 6x - 2
Now, the variable "y" should represent the same thing in both equations, then we can write:
-x + 5 = y = 6x - 2
If we remove the middle part, we get the equation that only depends on x:
-x + 5 = 6x - 2
This is the first step that we should use to solve the system of equations, which is the one in option 3.
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The university theatre department is selling tickets to their
upcoming performance. Three senior citizen tickets and one
student ticket were sold for $38. Three senior citizen ad two
student tickets were sold for $52. Determine the cost of a
senior citizen ticket, x and the price of a student ticket, y. Write
your answer as an ordered pair (x,y).
Answer:
(8,14)
Step-by-step explanation:
3x+2y=52
3x+1y=38 Subtract these equations using elimination method to get y=14
Then substitute y=14 to either equation
the bottom one is easier so
3x+1(14)=38 distribute 1 to 14 and any number times one is 1
3x+14=38 Subtract 14 from both sides
3x=24 Divide by 3
x=8 so check now
3(8)+1(14)=38
24+14=38?
38=38? yes
Two parallel lines are cut by a transversal. Complete the following statements.
The consecutive interior angles is...
supplementary, complementary, congruent
The alternate interior angles is...
supplementary, complementary,congruent
To complete the statements;
The consecutive interior angles is supplementary
The alternate interior angles is congruent
Properties of parallel lines cut by a transversal
The properties are;
Corresponding Angles are congruentAlternate Exterior Angles are congruentAlternate Interior Angles are congruentConsecutive Interior Angles sum to 180 degrees, that is, they are supplementaryConsecutive interior angles are supplementary
Alternate interior angles are congruent
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A spirit shop outside the hockey stadium sells merchandise representing the three school districts that built the arena. the entrances to the arena, the spirit shop, and the parking lot form the vertices of a triangle. the planning committee has decided to erect a memorial statue and would like it to be equidistant from the entrances to the arena, the spirit shop, and the parking lot. at what point should the statue be located? explain your answer.
Point E is where the statue should be placed.
What is called a triangle?A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.Triangles are three-sided shapes. The various kinds of triangles go by various names. The angles' size and the sides' length determine the type of triangle (corners). Equilateral, isosceles, and scalene triangles are the three varieties of triangles based on the length of the sides.The triangle is most frequently seen in our daily lives on traffic signs. The signs are triangular in shape and equilateral, which means that all three of their sides are the same length and have the same angle.At what point should the statue be:
The intersection of the doors to the arena, the spirit store, and the parking lot forms a triangle, with Point E in its center. The radius of the circumscribed circle will therefore equal the distance from the statue to each vertex, placing it at the same distance from all three landmarks.
Point E is where the statue should be placed.
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Can someone help me with this?
20 points for the Answer to this
Thank You for leaving your answer here!
Answer:
182000
Step-by-step explanation:
4.82 x 10^5
1.
10^5 is equal to 10 being multiplied 5 times. So this can be expressed as:
10 x 10 x 10 x 10 x 10.
When you multiply 10s, you just add the number of zeros next to one.
==> 100000 (5 zeros total)
2.
We multiply 100000 to 4.82.
100000 x 4.82 = 182000
So our final answer will be 182000.
Answer:
482,000.
Step-by-step explanation:
The 5 tells us this number is 6 digits long.
The answer is
482,000
how 4-digit positive integers have four differennt digits, where the leading digit is not zero, the integer is a multiple of 5, and 5 is the largets digt
Answer:
There are 9 possible thousands digits, because 0 cannot be the leading digit.
There are 2 possible ones digits, 0 and 5.
If the ones digit is 5:
There are 5 possible thousands digits: 1, 2, 3, and 4.For each possible thousands digit, there are 5 possible hundreds digits. (We used one of the digits above to be the thousands digit, but 0 is a possible hundreds digit.)For each possible pair of thousands-and-hundreds digits, there are 4 possible tens digits.
So there are 5 x 5 x 4 = 100 possible 4-digit numbers that end in 5 with no repeated digit and no digit larger than 5.
If the ones digit is 0:
There are 5 possible thousands digits.For each possible thousands digit, there are 4 possible hundreds digits.For each possible pair of thousands-and-hundreds digits, there are 6 possible tens digits.
So there are 5 x 4 x 6 = 120 possible 4-digit numbers that end in 0 with no repeated digit and no digit larger than 5.
100+120=220
Answer: 220 possible numbers.
f(x) = 4x² - 7x - 15
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the
coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers
obtained in Part A and Part B to draw the graph. (5 points)
(10 points)
Look at the attached image above ☝️for explanation
Hope it helps! and if it's not pls tell me on the comment.
Zhang is constructing a loading ramp (BA) that is 4-feet high (AC). The back of the base (BC) must be 12.8 ft. How long must the entire base (BD) be?
Proportion : __________________
Front of base: __________
Total base: __________
The front of the base is 1.25 ft and the total base is 14.05 ft.
How to find the side of a right triangle?A right triangle has one of its angles as 90 degrees. The side of a right angle triangle can be found using trigonometric ratios.
The sides CD and BD can be found using similar triangle principle.
In similar triangles, corresponding sides are always in the same ratio.
Therefore, the following proportion can be established as follows;
[tex]\frac{BC}{AC}=\frac{AC}{CD}[/tex]
Hence,
[tex]\frac{12.8}{4}=\frac{4}{CD}[/tex]
cross multiply
4 × 4 = 12.8 CD
16 = 12.8CD
divide both sides by 12.8
CD = 16 / 12.8
CD = 1.25 ft
BD = 1.25 + 12.8 = 14.05 ft
Therefore, the front of the base is 1.25 ft and the total base is 14.05 ft.
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Diego measured the length of a pencil to be 22 cm. the actual length of the pencil is 23 cm. which of these is closest to the percent error for diego’s measurement?
An error exists in the distinction between the exact length of an object and its measured length.
The closest to the percent error for Diego's measurement exists at 4.3%.
What is an error?An error exists in the distinction between the exact length of an object and its measured length.
Error = Actual length - Measured length
= 23cm - 22cm
= 1 cm
Percent error = Error/ Actual length × 100
= 1 /23 × 10
= 4.35%
Therefore, the closest to the percent error for Diego's measurement exists at 4.3%.
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What must be added to: (a) x-y + 4z to get 5x - 4y + 8z?
Answer:
4x-3y+4z
Step-by-step explanation:
There are lot's of process to answer it but i will show one easy way to find the answer.
To find the required answer we need to subtract 5x - 4y + 8z by x-y + 4z, we get
5x - 4y + 8z
-x + y - 4z [Note: while subtracting we must change the sigh that one ___________who we are subtracting]
4x-3y+4z which is a required answer
Answer:
4x - 3y + 4z
Step-by-step explanation:
Let the unknown value that we have to add be 'a'.
Let us make an expression like this.
x -y + 4z + a = 5x - 4y + 8z
Now make 'a' the subject of the equation.
a = 5x - 4y + 8z - x + y - 4z
Now combine like terms.
a = 5x - x - 4y + y + 8z - 4z
a = 4x - 3y + 4z
Now let us check whether the answer is correct or wrong.
We can replace 'a' with ( 4x - 3y + 4z ).
Let us see.
x - y + 4z + 4x - 3y + 4z
Combine like terms.
5x - 4y + 8z
Yes, we are getting the same answer!
Therefore,
we need to add 4x - 3y + 4z to get 5x - 4y + 8z to x - y + 4z.
which of the following tools is used to construct an angle bisector
Answer:
Tools used to construct a bisector are 1》pencil ,2》Eraser ,3》protector ,4》Compass ,5》Sharpner etc ....
What is the domain of the function graphed below? x<7 x less than or equal to 7 -2 less than or equal to x less than or equal to 3 all real numbers
The domain of the function shown in the graph is x < 7
How to determine the domain of the function shown in the graph?The complete question is added as an attachment
The domain is the set of x values the function can take
From the graph, we have the following x values
Minimum x value = Negative infinityMaximum x value = 7 (with an open circle)This means that the domain of x in the graph is x < 7
Hence, the domain of the function shown in the graph is x < 7
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please answer my question
Answer:
[tex]\frac{8}{3}[/tex]
Step-by-step explanation:
mean: (22+12+14+14+13+9)=14
|22-14| + |12-14| + ... + |9-14| =16
MAD = 16/6 = [tex]\frac{8}{3}[/tex]
find the value of n:
[tex]\frac{n}{11} = \frac{3.5}{7}[/tex]
The value of n from the given expression is 5.5
Solution to linear equation and fractionsFractions are expression written as a ratio of two integers. The linear equation on the other hand has a leading degree of 1.
Given the equation below;
n/11 = 3.5/7
Simplify to have
n/11 = 1/2
Cross multiply the given result to have:
11 = 2n
Swap
2n = 11
Divide both sides by 2 to have;
2n/2 = 11/2
n = 5.5
Hence the value of n from the given expression is 5.5
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