Answer:
hope this helps
Step-by-step explanation:
(ab)c = (ac)b = (bc)a
Answer:
Here are a couple of examples (a+b)c or (c+b)a or (a+c)b
Step-by-step explanation:
To “associate” means to connect or join with something. According to the associative property of multiplication, the product of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the product does not change irrespective of how the factors are grouped.
Referring to triangle ABC, find the area of the triangle.
a = 4.34 ft, b = 3.78 ft, c = 5.27 ft
Round your answer to three significant digits.
Answer: area of triangle = 13.4 ft ( after rounding the answer to 3 significance figures)
Step-by-step explanation:
formula for the area of triangle
= S + S + S
= 4.34 + 3.78 + 5.27
= 13.9 ft
= 13.4 ( after rounding off to three significant figures )
what are the four different ways to solve a quadratic equation? When would you prefer to use each method?
Answer:
1. Factorization method
2. Formula method
3. Completing the square method
4. Graphical method
Step-by-step explanation:
There are four methods of solving quadratic equation:
1. Factorization method
2. Formula method
3. Completing the square method
4. Graphical method
1. Factorization method: Use factorization method when the quadratic equation can easily be factorize.
Example: x^2 - 4x - 12 = 0
(x-2)(x+6)
2. Formula method: This can be used when factoring the quadratic equation looks difficult or you are given instruction to use formula method
3. Completing the square method: Use completing the square method when you are instructed to do so.
4. Graphical method: This method is used when instructed to find x intercept.
Use the diagram to answer the question. Triangle R S T. Segment R S measures 10 units Segment R T measures 8 units. Angle T is a right angle. What is the measure of ∠R? Enter the correct value rounded to one decimal place, if necessary, like this: 42.5
Answer:
angle R= 36.869
Step-by-step explanation:
CosR=8/10
cosR=0.8
R= inverse cos (0.8)
R=36.869
The angle R of the triangle RST whose segment RS measures 8 units, angle T is aright angle is 36.87 degrees.
What is a triangle?It is a three sides figure whose angles form a sum of 180 degrees.
What is line segment?It is a line which joins two points on a surface.
How to measure an angle?We know that the sum of angles in a triangle is equal to 180 degrees. We know that the angle RTS is 90 degrees. So firstly we will calculate the angle RST which comes from sin(α)=8/10
sin(α)=0.8
α= Inverse of sin(0.8)=53.13 degrees
Let the angle TRS is x so,
x+53.13+90=180
x=36.87
Hence the measure of the angle R is 36.87.
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The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping.
24x3 − 54x2 + 44x − 99
24x3 + 44x − 54x2 − 99
4x(____) − 9(____)
What is the common factor that is missing from both sets of parentheses?The polynomial 24x^3 − 54x^2 + 44x − 99 is factored by grouping.
Answer:C
Step-by-step explanation:It’s C on edge
Consider the function f(x) = x^2 +2\sqrt{x}. Evaluate 2f(2) - f(8).
Answer:
-56 + 3 sqrt(2) /2
Step-by-step explanation:
f(x) = x^2 +2/sqrt{x}.
2f(2) - f(8).
First find f(2)
f(2) = 2^2 +2/sqrt{2} = 4 + 2/ sqrt(2)
Then f(8)
f(8) = 8^2 +2/sqrt{8} = 64 + 2 / sqrt(4)sqrt(2) = 64+ 2/2sqrt(2) = 64 + 1/ sqrt(2)
2f(2) - f(8).
2 * (4 + 2/ sqrt(2)) - (64 + 1/ sqrt(2))
8 + 4/ sqrt(2) - 64 - 1/ sqrt(2)
Combine like terms
-56 + 3 / sqrt(2)
Rationalizing the second term
-56 + 3/ sqrt(2) * sqrt(2)/sqrt(2)
-56 + 3 sqrt(2) /2
What is the value of this expression when g= -3.57
8- 12g-51
Answer:
-0.16
Step-by-step explanation:
Since it states g is equal to -3.57, we have to plug in -3.57 into the equation wherever it says g.
[tex]8-12(-3.57)-51[/tex]
We can multiply -12 and -3.57 to get 42.84.
[tex]8+42.84-51[/tex]
Now we can add 8 to 42.84 to get 50.84. Then, we subtract 51 from 50.84 to get our answer, -0.16!
Why is the HCF x*2 ? Please explain thanks for number d
Answer:
x² is HCF (Height common factor)
Step-by-step explanation:
Given:
x² , x³
Find:
HCF (Height common factor)
Computation:
HCF (Height common factor) is uused to find Height common factor from the given numbers.
x² , x³
Takling x² as common
x² (1 , x)
So,
x² is HCF (Height common factor)
In triangle ABC angle bisector AE is equal to EC. Given AC=2·AB, find m∠ABC, in degrees.
Answer:
m∠ABC = 90°
Step-by-step explanation:
Given that AE = EC, triangle AEC is isosceles. Then the altitude from E to AC at D will be the perpendicular bisector of AC.
We know that AC = 2·AB, so AD = AC/2 = AB. Now, we can show triangles AED and AEB are congruent by SAS, so ...
m∠ABC = m∠ADC = 90°
nth term of this sequence 1, 10, 19, 28
Answer:
The nth term of the sequence is
9n - 8Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 1
d = 10 - 1 = 9 or 19 - 10 = 9 or 28 - 19 = 9
So the nth term of the sequence is
A(n) = 1 + (n - 1)9
= 1 + 9n - 9
= 9n - 8
A(n) = 9n - 8Hope this helps you
Which is the best approximation for the solution of the system of equations? y = A system of equations. y equals negative StartFraction 2 over 5 EndFraction x plus 1. y equals 3 x minus 2.x + 1 y = 3x – 2 A coordinate grid with 2 lines. The first line passes through (0, 1) and (5, negative 2). The second line passes through (0, negative 2) and (1, 1). the lines appear the intersect at a point that is almost to 1 and almost to 1. (0.45, 0.88) (0.88, 0.65) (0.88, 1.1) (1.3, 0.88)
Answer:
(0.88, 0.65)
Step-by-step explanation:
Given that the two equations of the line are:
y =( -2/5)x + 1 and y = 3x – 2. To find the solution, we have to solve the equations simultaneously.
y =( -2/5)x + 1 . . . 1)
y = 3x – 2 . . . 2)
Subtracting equation 1 from equation 2:
3.4x -3 = 0
3.4x = 3
Dividing through by 3.4
3.4x/3.4 = 3/3.4
x = 0.88
To find y, substitute x = 0.88 in equation 2:
y = 3(0.88) - 2
y = 2.65 - 2
y = 0.65
This means that the solution to the system of equations is the point of intersection of the two lines which is at (0.88, 0.65)
Answer:
(0.88, 0.65)
Step-by-step explanation:
i just took the test
Anyone know this need help please
Answer:
81.1
Step-by-step explanation:
The formula to find the cirumference is C=πd
We know d=diameter
so.. C=25.8π
That's gives us 81.053
round it after to approximately 81.1
Answer:
find the equation to find a circumference of circle with that diameter
Step-by-step explanation:
Finding changed average
Answer:
15.
Step-by-step explanation:
The new average will be 11 + 4 = 15.
Answer: The overall average will increase by 4 from 11 to 15
Step-by-step explanation: If each of the six integers is increased by four, that will add 6×4 to the total.
The original average was based on six numbers totaling 66, then divided by 6 to get the average, 11.
So add 66 + 24 = 90
Divide 90/6 = 15. The new average.
That is 4 more than the original 11.
What is the interquartile range (IQR) of the data set below?
Answer:
The Inter Quartile Range is 20.
Step-by-step explanation:
The interquartile range is Q3 - Q1. So first let's find the median (Q2) so we can find Q1 and Q3. Since there is an even amount of numbers, we need to find the average of the middle to numbers. My work is in the attached image.
If this helps, I would appreciate it if you gave me brainliest :)
Answer:
They are right
Step-by-step explanation:
Match each statement (term) with its value in relation to 0 (definition). Match Term Definition
Answer:
Step-by-step explanation:
a building is 35ft tall=35
the scuba diver was 35ft below sea level=-35
the basement is 7.6ft below ground=-7.6
oliver owes his sister $23=-23
erica jumped 2.3ft above ground=2.3
Answer:
a building is 35ft tall=35
the scuba diver was 35ft below sea level=-35
the basement is 7.6ft below ground=-7.6
oliver owes his sister $23=-23
erica jumped 2.3ft above ground=2.3
Step-by-step explanation:
What is the approximate area of the shaded sector in the circle shown below? O A. 25 in2 4.3 in 155 B. 5.82 in2 IC O C. 11.63 in2 D. 50 in2 SUBMIT
Answer:
D. 25 inch²
Step-by-step explanation:
Area of sector of a circle =(r^2∅) /2
where,
r = radius of the circle
∅= angle subtended by the arc at the center of circle in radians.
Given :
∅ =155°
radius =4.3 in
Convert 155° to radian
πradian=180°
155°=π / 180°*155°
=2.705 radians
Area of sector of a circle =(r^2∅) /2
=(4.3^2 * 2.705) / 2
=(18.49 * 2.705) / 2
=50.01545 / 2
=25.007725 inch²
Approximately 25 inch²
25in^2
hope this helpsss ✓✓✓
Help ASAP for this question All of the following are equivalent except
0.6 0.06 6% 3/50
Answer:
0.6
Step-by-step explanation:
0.6 0.06 6% 3/50 are equivalent to
0.6 0.06 6% 6/100. 0.6 is 10 times larger than the other three.
Thus, 0.06 6% 3/50 are equivalent, and 0.6 does not belong to the group.
PLEASE HELP!!! I AM DESPERATE BECAUSE MY CLASS IS IN A FEW MINUTES. Solve using statement reason.
Answer:
Statement 1. P
Reason 1. Theorem: The measure of an external angle of a triangle is equal to the sum of the measures of the remote interior angles.
Statement 2. 132 = 3x + 54
Statement 3. x = 26
FIRST WILL GET BRAINLLEST Each group of students receives a bag that has 8 red cubes, 2 green cubes, and 10 blue cubes. If each group makes 100 pulls and replaces the cube after each pull, how many times would you expect them to draw a green cube?
Answer:
10
Step-by-step explanation:
We can do the ratio of 8:2:10. If we add it all up, we get 20. We do 100/20 and get 5, so each number equals 5. Then we do 2*5.
Sorry if this is wrong.
HALP PLS 1000 students are arranged in several rows (more than 16). The numbers of students in each row are consecutive positive integers. How many students are there in the first row? (A) 20 (B) 25 (C) 28 (D) 44 (E) 80
Answer:
The correct option is;
(C) 28
Step-by-step explanation:
The information given are that;
The total number of students = 1000
The number of students in each row are consecutive positive numbers
Let the number of students in the first row be x,
Let the number of rows be 17
We have;
The number of students in the last row = x + 16
The number of students in the penultimate row = x + 15, we continue to get;
n×x + n/2×(n-1) = 1000
(The term n/2×(n-1) is from the sum of an arithmetic progression formula)
Which gives;
17×x + 17/2×16 = 1000
17×x = 1000 - 17/2×16 = 1000 - 136 = 864
x = 864/17 = Which is not an integer,
We continue checking till we get to 25 rows which gives;
25×x + 25/2×24 = 1000
25×x + 300 = 1000
25×x = 1000 - 300 = 700
x = 700/25 = 28
The number of student in the first row = 28 students.
The coordinates of rhombus ABCD are A(–4, –2), B(–2, 6), C(6, 8), and D(4, 0). What is the area of the rhombus? Round to the nearest whole number, if necessary.
Answer:
The rhombus ABCD has an area of 22 square units.
Step-by-step explanation:
The coordinates of rhombus ABCD are shown in the image attached below. The area of the rhombus can be found in terms of their diagonals, which are now calculated by Pythagorean Theorem:
[tex]AC = \sqrt{[6-(-4)]^{2}+[8-(-4)]^{2}}[/tex]
[tex]AC = 15.620[/tex]
[tex]BD = \sqrt{(4-6)^{2}+[0-(-2)]^{2}}[/tex]
[tex]BD \approx 2.828[/tex]
The area of the rhombus is: ([tex]AC = 15.620[/tex] and [tex]BD \approx 2.828[/tex])
[tex]A = \frac{AC\cdot BD}{2}[/tex]
[tex]A = \frac{(15.620)\cdot (2.828)}{2}[/tex]
[tex]A = 22.087[/tex]
The rhombus ABCD has an area of 22 square units.
Answer:
22 units
Step-by-step explanation:
Can Negative numbers turn into Scientific Notation?
Answer: Yes, negative numbers can be written in scientific notation
Examples:
-1200 = -1.2 * 10^3
-1,897,000 = -1.897 * 10^6
We simply can ignore the negative at first, then convert to scientific notation (as you normally would with any positive number). Afterward, don't forget to put the negative back in.
On a trip, a car traveled 80 miles in an hour and a half, then was stopped in traffic for 30 minutes, then traveled 100 miles during the next 2 hours. What was the car's average speed in miles per hour for the 4-hour trip?
Answer:
45 mph
Step-by-step explanation:
13. Marco took out an unsubsidized student loan for $20,000, which he will start paying in 4
years, after he graduates. If the interest rate is 4.2%, what is the amount he will owe once he
graduates?
Answer:
Marco will owe $ 23,360 once he graduates.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Principal of the loan = 20,000
Time in years = 4
Interest rate = 4.2%
2. What is the amount he will owe once he graduates?
Let's use the formula of the interest simple, this way:
A = P * (1 + r * t)
where P is the principal of the loan, r the interest rate and t, the time in years.
Substituting with the values we know, we have:
A = 20,000 * (1 + 4 * 0.042)
A = 20,000 * 1.168
A = 23,360
Marco will owe $ 23,360 once he graduates.
Please Help I will mark Brainliest or whatever Match each function formula with the corresponding transformation of the parent function y = (x - 1)∧2 1. y = ( x - 1) 2 - 3 Reflected over the y-axis 2. y = - ( x - 1) 2 Translated up by 1 unit 3. y = ( x + 3) 2 Reflected over the x-axis 4. y = ( x - 2) 2 Translated down by 3 units 5. y = ( x + 1) 2 Translated right by 1 unit 6. y = ( x - 1) 2 + 1 Translated left by 4 units
Answer:
1 -> D
2 -> C
3. -> F
4. -> E
5. -> A
6. -> B
Step-by-step explanation:
Match each function formula with the corresponding transformation of the parent function y = (x - 1)∧2
1. y = ( x - 1) 2 - 3 A. Reflected over the y-axis
2. y = - ( x - 1) 2 B. Translated up by 1 unit
3. y = ( x + 3) 2 C. Reflected over the x-axis
4. y = ( x - 2) 2 D. Translated down by 3 units
5. y = ( x + 1) 2 E. Translated right by 1 unit
6. y = ( x - 1) 2 + 1 F. Translated left by 4 units
Using the standard transformation rules
f(x) -> a*g(bx-h) + k, we can obtain the following results
Answers:
1 -> D
2 -> C
3. -> F
4. -> E
5. -> A
6. -> B
how to convert 3mm into cm
Answer:
0.3 cm
Step-by-step explanation:
1 cm = 10 mm
1) Using proportion:
1 cm ----- 10 mm
x cm ----- 3 mm
x = 1 cm * 3 mm/10 mm = 0.3 cm
2) 3 mm * 1cm/10mm = 0.3 cm
Answer:
3mm = 0.3 cm
Step-by-step explanation:
1 cm = 10 mm
3mm = 3/10 = 0.3cm
Which expression can be used to find the surface area of the following square pyramid?
Answer:
Step-by-step explanation:
The slant height of one side of this pyramid is 5, and the base of this side is 4. Thus, the area of one slant side is (1/2)(5)(4) = 10 units^2.
There are 4 such sides. Thus, the total slant surface area is 4(10 units^2), or 40 units^2.
If you also want to include the base area, the total would be
40 units^2 + 16 units^2 = 56 units^2.
Please Help Me Asap Will Give BRAINLIEST What are the solutions to the system of equations? {y = 1/4x^2 − 2 y = −1/2x} Graph the system of equations to solve. (0, 0) and (−4, 2) (2.9, 0) and (−2.9, 0) (−4, 2) and (2, −1) (0, 0) and (0, −2)
Answer:
{y = 1/4x^2 − 2 y = −1/2x}
(0,0)
(-6,3)
Step-by-step explanation:
Rewrite as system of equations
y=-1/2x
1/4x^2-2y=-1/2x
Move expression to left and change its sign
y+1/2=0
1/4x^2-2y+1/2x=0
Multiply both sides of equation by 2
2y+x=0
1/4x^2-2y+1/2x=0
Sum the equation vertically and eliminate variable (2y)
3/2x+1/4x^2=0
Solve the equation
x=0
x=-6
Substitute the value of x into equation
y+1/2*0 = 0
y+1/2*(-6) = 0
Solve equation for y
y=0
y=3
so the solution is
(x1,y1)=(0,0)
(x2,y2)=(-6,3)
Function f is given by the table of values shown.
x|0|1|2|3
f(x)|7|0|-5|-8
If function fis reflected across the x-axis to obtain function g, complete the table of values which represents function g.
Answer:
x | 0 | 1 | 2 | 3
f(x) | - 7 | 0 | 5 | 8
Step-by-step explanation:
When you reflect a point say across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). Therefore if the function f( x ) is reflected across the x - axis, it's new function would be y = - f( x ). This new function is function g, so you can also say y = - g( x ).
Given the following table ...
x | 0 | 1 | 2 | 3
f(x) | 7 | 0 | - 5 | - 8 ... we can keep the x - values constant, but take the opposite of each y - value, or " f( x ). " Doing so the new table should be the following -
x | 0 | 1 | 2 | 3
f(x) | - 7 | 0 | 5 | 8 ... note that 0 remains constant as you can't take it's opposite, it remains zero. Therefore, the function g is represented by the above table.
The values of g(x) are as follows:
x | 0 | 1 | 2 | 3
g(x) | -7 | 0 | 5 | 8
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
As per the given data:
We are given a function f(x) and a table where the values of f(x) at different values of x is given.
The table for the values is as follows:
x | 0 | 1 | 2 | 3
f(x) | 7 | 0 |-5 | -8
We have to find the values for the function g(x) which is obtained when f(x) is reflected about the x-axis.
When any function is reflected about the x-axis, the values of the y-axis will have their signs changed, i.e. the y-axis values will become -ve if they are positive and +ve if they are -ve.
For g(x):
x | 0 | 1 | 2 | 3
g(x) | -7 | 0 | 5 | 8
Hence, the values of g(x) are as follows:
x | 0 | 1 | 2 | 3
g(x) | -7 | 0 | 5 | 8
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Which of the following shows 3 + (x + 6y) rewritten using the Associative Property of Addition? 3 + x + 6y 3x + (6 + y) x + (3 + 6y) (3 + x) + 6y
Answer:
x + (3 + 6y)
Step-by-step explanation:
This shows that you can regroup the numbers however you want with addition and multiplication, so this is the right answer.
Hope this helps!
Terry bought some gum and candy. The number of packages of chewing gum was one more than the number of mints. The number of mints was three times the number of candy bars. If gum was 6 cents a package, mints were 3 cents each, and candy bars were 10 cents each, how many of each did he get for 80 cents?
Answer:
2 Candy bars
6 Mints
7 Gum
Step-by-step explanation:
Candy bars=x
mints=3x
gum=3x+1
10(x)+3(3x)+6(3x+1)=80
10x+9x+18x+6=80
37x=80-6
37x=74
x=2
SO:
cand bars = x = 2
mints = 3x = 6
gum = 3x+1 = 7
Answer:
2 candy bars, 6 mints, and 7 packages of gumm
Step-by-step explanation: