Answer:
Step-by-step explanation:
Rewrite 3x²-12x+16 as follows:
3(x^2 - 4x) + 16
Complete the square of x^2 - 4x; it is (x - 2)^2 - 4. We then have:
3( (x - 2)^2 - 4) + 16, or:
3(x - 2)^2 - 12 + 16, or
3(x - 2)^2 + 4
Then a = 3, p = -2 and q = 4
********************************************************************
Completing the square of x^2 - 4x is done as follows:
1. Identify the coefficient of x: It is -4.
2. Take half of this result: It is -2
3. Square this, and then add the square to x^2 - 4x, and then subtract it:
x^2 - 4x = x^2 - 4x + 4 - 4
4. Rewrite this result in the form (x - a)^2 - c:
(x - 2)^2 - 4
5. Now follow the remainder of the problem solution (given above)
5. Step 4: Convert the number into decimal form rounded to the
nearest thousandth.
6.28=
O 6.284
O 6.280
O 6.283
O 6.282
Answer: 6.280
Step-by-step explanation:
HELP PLEASE AND THANKYOU
Answer:
one half of a cup. it is written as a half as 1/2. :)
Question 4
Did you reach the same conclusion in both Question 2 and 3? Based on your work so far, what can you conclude about the measure of a central
angle and an inscribed angle that intercept the same arc on a circle?
Answer: The measure of a central angle is twice as big as the measure of an inscribed angle IF they intercept the same arc on a circle
Step-by-step explanation: See photo. A central angle’s vertex is at the center of the circle. The measure of a central angle is equal to the measure of the included arc. An inscribed angle’s vertex lies on the circle. The measure of an inscribed angle is equal to half the measure of the included arc. Therefore the measure of the central angle is double the measure of the inscribed angle that intercept the same arc on a circle
The measure of a central angle is twice the measure of an inscribed angle, they intercept the same arc on a circle.
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
A central angle’s vertex is at the center of the circle. The measure of a central angle is equal to the measure of the included arc.
An inscribed angle’s vertex lies on the circle. The measure of an inscribed angle is equal to half the measure of the included arc.
Therefore, the measure of the central angle is double the measure of the inscribed angle that intercept the same arc on a circle.
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Suppose y varies directly with x, and y = 6.5 when x = 1.3. What direct variation equation relates x and y ?
Select one:
a.
y = − 5x
b.
y = x / 5
c.
y = 5x
d.
y = 1.5x
Answer:
c
Step-by-step explanation:
given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
to find k use the condition y = 6.5 when x = 1.3
6.5 = 1.3k ( divide both sides by 1.3 )
5 = k
y = 5x ← equation of variation
Let n be the least positive integer for which 149^n-2^n is divisible by 3^3.5^5.7^7.$ Find the number of positive integer divisors of n.
Calculating the LCM of all these, one gets 2^2. 3^2 . 5^4 .7^5. Using the factor counting formula, the answer is 3.3.5.6 = {270}
Step-by-step explanation:
Note that for all n, 149^n-2^n is divisible by 149-2=147 by difference of nth powers. That is 3.7^2, so now we can clearly see that the smallest n to make the expression divisible by 3^3 is just 3^2 Similarly, we can reason that the smallest n to make the expression divisible by 7^7 is just 7^5.
Finally, for 5^5, take (mod {5}) and ( mod {25} )of each quantity (They happen to both be -1 and 2 respectively, so you only need to compute once). One knows from Fermat's theorem that the maximum possible minimum n for divisibility by 5 is 4, and other values are factors of 4. Testing all of them(just 1,2,4 using mods-not too bad), 4 is indeed the smallest value to make the expression divisible by 5, and this clearly is NOT divisible by 25. Therefore, the smallest (n) to make this expression divisible by 5^5 is $2^2 .5^4.
Using the factor counting formula, 2^2. 3^2 . 5^4 .7^5 = 3.3.5.6 = {270}
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A system of linear equations has no solutions. One of the equations of the system is shown y=2x-1 which equation could be the other equation of the system
Answer:
D y = 2x + 2
Step-by-step explanation:
Set the equations equal
2x -1 = 2x + 2
Subtract 2x from both sides
-1 = 2 ... not possible
therefor no solution
there is no solution.
- Chilio
How many possible three-card hands exist in a standard deck of 52 cards?
Answer:
we note that there 52 ways to choose the first card, 51 ways to choose the second card, and 50 ways to choose the third card, for a total of 52x51x50=132,600 ways.
Step-by-step explanation:
Answer:
4; 3 of spades, 3 of clubs, 3 of diamonds, and 3 of hearts
Step-by-step explanation:
PROBLEMA DE NUMEROS ENTEROS : Un buzo se encuentra a 4000 metros de profundidad. ¿Si desciende 2000 metros para atrapar mantarrayas, a que profundidad del nivel del mar se encuentra?
Answer:
Tras descender 2000 metros para atrapar mantarrayas el buzo se encontrará a 6000 metros bajo el nivel del mar.
Step-by-step explanation:
Dado que un buzo se encuentra a 4000 metros de profundidad, si desciende 2000 metros para atrapar mantarrayas, para determinar a que profundidad del nivel del mar se encuentra se debe realizar el siguiente cálculo:
4000 - 2000 = X
6000 = X
Por lo tanto, tras descender 2000 metros para atrapar mantarrayas el buzo se encontrará a 6000 metros bajo el nivel del mar.
find the perimeter (p) of a rectangle with a length (1) of 12m and a width (w) of 8.4m using the formula p=21+2w
Answer:
The answer is 40.8 m.
Step-by-step explanation:
To find the perimeter of the rectangle, use the formula P= 2([tex]l[/tex])+ 2([tex]w[/tex]). Plug in the information given in the question, and the equation will look like
P= 2(12m) + 2(8.4m)
Solve the equation, and the final answer will be 40.8 m.
PLS HELP :[
The graph shows the prices, in dollars, of different numbers of pepperoni rolls at Luis's store. The table shows the prices, in dollars, of different numbers of Kaiser roll packets at the same store.
A graph shows Number of Pepperoni Rolls on x-axis and Price of Pepperoni Rolls on y-axis. The x-axis scale is shown from 0 to 24 at increments of 4, and the y-axis scale is shown from 0 to 160 at increments of 20. A straight line joins the ordered pairs 4, 20 and 8, 40 and 12, 60 and 16, 80 and 20, 100 and 24, 120.
Kaiser Roll Packet
Number of Kaiser Roll Packet
Price of Kaiser Roll Packet (dollars)
4
24
8
48
12
72
16
96
How many dollars more is the price of a Kaiser roll packet than the price of a pepperoni roll at Luis's store? (1 point)
a
$1
b
$4
c
$5
d
$6
Kaiser roll packet cost $1 more than the price of a pepperoni roll at Luis's store.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Given is that the graph shows the prices, in dollars, of different numbers of pepperoni rolls at Luis's store. The table shows the prices, in dollars, of different numbers of Kaiser roll packets at the same store.
The price of a Kaiser roll packet = {C1} = (48 - 24)/(8 - 4) = 24/4 = 6
The price of a Kaiser roll = {C2} = (40 - 20)/(8 - 4) = 20/4 = 5
$6 - $5 = 1
Therefore, Kaiser roll packet cost $1 more than the price of a pepperoni roll at Luis's store.
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help!!!! question is on the pic
Answer:
a. 110
b
Step-by-step explanation:
The sum of four consecutive multiples of 7 is 406.
Work out the values of these four numbers.
Examples of four consecutive multiples of 7 are: 7, 14, 21, 28
The value of all four numbers will be 91, 98, 105, 112 respectively.
Let the first multiple be 7x
As the multiple of any number can be determined by simply multiplying the given number by the natural number or the counting numbers.
So, the value of the second multiple of 7 will be 7(x+1)
The value of third multiple of 7 will be = 7(x+2)
The value of fourth multiple of 7 will be = 7(x+3)
As all the multiple are consecutive so we have taken the multiplying factor as x, (x+1), (x+2) and (x+3)
From the data given in the question:
Sum = 7x+7x+7+7x+14+7x+21 = 406
=>28x+42=406
=>28x=364
=>x=(364/28)=13
So, the value of first multiple = 7x = (7*13) =91
So, the value of the second multiple of 7 will be 7(13+1)=98
The value of third multiple of 7 will be = 7(x+2)=7(13+2)=105
The value of fourth multiple of 7 will be = 7(x+3)=7(13+3)=112
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Help me please, worth 25 points
Answer:
a=17.1
Step-by-step explanation:
sin20=a/50
50sin20=a
plug into calculator
What are polynomials and its different types explain with examples?
Monomial, binomial, and trinomial expressions are all categorized by the number of terms they include.
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
A polynomial with one term is called a monomial. A polynomial having two dissimilar terms is called a binomial. An algebraic expression having three terms is called a trinomial.
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In the figure shown, what is the value of x?
PLEASE HURRY JUST GIVE ME THE ANSWER THANK YOU
Answer: x= 23
Step-by-step explanation:
7
What is the surface area of the figure below?
6 ft
3 ft
3 ft
A 12 ft?
B 36 ft?
© 54 ft?
D 90 ft?
What does 5a+10a equal to?
Answer:
15a
Step-by-step explanation:
5a + 10a = 15a
A company has two manufacturing plants with daily production levels of 5x +14 items and 3x - 5 items, respectively. The first plant produces how many more items daily than the second plant?
Answer:
21x
Step-by-step explanation:
5x+14=19x
3x-5=-2x
-2x-19x=21x
Eddie is reading a novel for English class. He read 173 out of 480 pages. About what percent of the book has he read? Round to the nearest whole number.
Answer:
the answer would be 36.04,
Step-by-step explanation:
im gonna just leave this blank
Before sending track and field athletes to the Olympics, the U. S. Holds a qualifying meet. The upper box plot shows the top 12 men's long jumpers at the U. S. Qualifying meet. The lower box plot shows the distances (in meters) achieved in the men's long jump at the 2012 Olympic games. Which pieces of information can be gathered from these box plots?
We require median, interquartile range, outliers, minimum and maximum value.
What are statistics?
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.
From the upper box plot representing the top 12 men's long jumpers at the U.S. Qualifying meet, we can gather the following pieces of information:
The median (middle value) of the data is around 7.6 meters, as indicated by the line in the center of the box.
The interquartile range (IQR), which is the range between the first and third quartiles, is approximately 0.4 meters, as indicated by the height of the box.
There are some outliers or values that fall outside the range of the box, which is represented by the dots or asterisks outside the box.
The minimum and maximum values for the data are around 7.3 meters and 8.0 meters, respectively, as indicated by the lower and upper ends of the whiskers.
From the lower box plot representing the distances achieved in the men's long jump at the 2012 Olympic games, we can gather the following pieces of information:
The median (middle value) of the data is around 8.0 meters, as indicated by the line in the center of the box.
The interquartile range (IQR), which is the range between the first and third quartiles, is approximately 0.5 meters, as indicated by the height of the box.
There are some outliers or values that fall outside the range of the box, which is represented by the dots or asterisks outside the box.
The minimum and maximum values for the data are around 7.5 meters and 8.4 meters, respectively, as indicated by the lower and upper ends of the whiskers.
The main difference between the two box plots is the median value, which is 0.4 meters apart and the IQR for the Olympic games is slightly bigger than the Qualifying meet.
Hence, we require median, interquartile range, outliers, and minimum and maximum values.
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We require median, interquartile range, outliers, and minimum and maximum values.
What are statistics?
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.
From the upper box plot representing the top 12 men's long jumpers at the U.S. Qualifying meet, we can gather the following pieces of information:
The median (middle value) of the data is around 7.6 meters, as indicated by the line in the center of the box.
The interquartile range (IQR), which is the range between the first and third quartiles, is approximately 0.4 meters, as indicated by the height of the box.
There are some outliers or values that fall outside the range of the box, which is represented by the dots or asterisks outside the box.
The minimum and maximum values for the data are around 7.3 meters and 8.0 meters, respectively, as indicated by the lower and upper ends of the whiskers.
From the lower box plot representing the distances achieved in the men's long jump at the 2012 Olympic games, we can gather the following pieces of information:
The median (middle value) of the data is around 8.0 meters, as indicated by the line in the center of the box.
The interquartile range (IQR), which is the range between the first and third quartiles, is approximately 0.5 meters, as indicated by the height of the box.
There are some outliers or values that fall outside the range of the box, which is represented by the dots or asterisks outside the box.
The minimum and maximum values for the data are around 7.5 meters and 8.4 meters, respectively, as indicated by the lower and upper ends of the whiskers.
The main difference between the two box plots is the median value, which is 0.4 meters apart and the IQR for the Olympic games is slightly bigger than the Qualifying meet.
Hence, we require median, interquartile range, outliers, and minimum and maximum values.
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What is the product of 2 and 2 √80 in simplest radical form?
show work
[tex]2 \times 2 \times 4 \sqrt{5} [/tex]
[tex]16 \sqrt{5} [/tex]
final answer is this
plz mark as brainliest
Answer:
..........
Step-by-step explanation:
If PQR measures 75°, what is the measure of SQR?
22°
45°
The measure of the angle ∠PQS will be 53°. Then the correct option is C.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.
If angle ∠PQR measures 75°. And angle ∠PQS measures 22°.
Angle ∠SQR and angle ∠PQS are the adjacent angles. Then we have
∠PQS + ∠SQR = ∠PQR
∠PQS + 22° = 75°
∠PQS = 53°
The measure of the angle ∠PQS will be 53°. Then the correct option is C.
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Complete question is attached below.
How do you solve a linear equation step by step?
Linear equations are mathematical equations that involve one or more variables. These equations can be solved by following a few simple steps:
How to solve linear equationsIdentify the constant and the coefficient of the variable.Use the coefficient to divide both sides of the equation by the same number.Subtract the constant from both sides of the equation.Divide both sides of the equation by the coefficient of the variable.Check your solution by substituting it back into the original equation.Linear equations can be used to solve a wide range of mathematical problems and are an essential part of any mathematics curriculum.
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Adrian has $1 worth of nickels and dime. He has twice as many nickels as dimes. Write a system of equations that could be used to determine the number of nickels and the number of dimes that Adrian has. Define the variables that you use to write the system.
Answer: We can use two variables, x and y, to represent the number of dimes and nickels Adrian has, respectively.
We know that Adrian has twice as many nickels as dimes, so we can write the equation:
y = 2x
We also know that the total value of the coins is $1, and since nickels and dimes have different values, we can write the equation:
0.05y + 0.1x = 1
So the system of equations is:
y = 2x
0.05y + 0.1x = 1
These equations can be solved simultaneously to find the number of nickels and dimes that Adrian has.
Step-by-step explanation:
Answer: X+ywwiww asksn q9ru3
Step-by-step explanation:
88-2
What is (-1)⁶?
O A. -i
O B.-1
O C. 1
O D. i
Coroline runs 3 1/2 miles in 22 1/4 minutes how many miles does she run per minute
Answer:
To determine the number of miles Coroline runs per minute, we need to first convert the distance she runs to a fraction of a mile and the time it takes her to run that distance to a fraction of an hour.
3 1/2 miles is equivalent to 3 + 1/2 = 3 + 1/(2*1) = 7/2 miles.
22 1/4 minutes is equivalent to 22 + 1/4 = 22 + 1/(4*1) = 23/4 minutes.
To convert the time to hours, we can divide the number of minutes by the number of minutes per hour. There are 60 minutes per hour, so we have:
23/4 minutes / (60 minutes/hour) = (23/4) / (60/4) = 23/60 hours
To determine the number of miles Coroline runs per minute, we can divide the distance she runs by the time it takes her to run that distance:
(7/2 miles) / (23/60 hours) = (7/2) / (23/60) = (760) / (223) = 420/46
Simplifying, we have:
420/46 = 9 1/23
Therefore, Coroline runs approximately 9 1/23 miles per minute.
Step-by-step explanation:
Answer:
she runs 0.078 miles per minute.
Step-by-step explanation:
plz help ibzcbiscibscibaciv
Answer:The answer is 2 if you use a calculator.
Step-by-step explanation:
Mike has $21 to spend at the mall. He spends all of his money on bracelets for his sisters. Bracelets cost $3 each. How many bracelets dose he buy?
Answer:
7
Step-by-step explanation:
Solve 1/2 cot(x) >= over 0 <= x <= 2pi
Answer: answer is b on edg
Step-by-step explanation:
A guy wire attached to the top of a radio antenna
is bolted to the ground 48 m from the base of
the tower. If the wire makes an angle of 14°
with the ground. What is the length of the
guy wire? Round your answer to the nearest
hundredth of a meter.
1
The length of the guy wire is 48.87 m.
How to find the length?To find the length of the guy wire, you can use the formula for the length of a side of a right triangle (the Pythagorean theorem): [tex]c = sqrt(a^2 + b^2)[/tex]. In this case, c is the length of the guy wire, a is the distance from the base of the tower to the point where the guy wire is attached to the ground (48 m), and b is the distance from the point where the guy wire is attached to the ground to the top of the antenna.
To find b, you can use the tangent function: [tex]tan(14°) = b / 48.[/tex]
Solving for b gives b = 6.78 m
Then, length of wire can be calculated as
[tex]c = sqrt(48^2 + 6.78^2)[/tex]
[tex]c = 48.87 m (approx)[/tex]
Rounding it to the nearest hundredth of a meter, the length of the guy wire is 48.87 m.
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