Answer:
[tex]\boxed{4x^{2} - 48x + 144}[/tex]
Step-by-step explanation:
Given expression:
(2x - 12)²To simplify the expression, we will use the formula (a - b)² = a² - 2ab + b².
[Where "a and b" are the first and second term in (a - b)²]
[tex]\rightarrowtail (2x - 12)^{2}[/tex]
In this case, the first term of (2x - 12)² is "2x" and the second term is "12".
[tex]\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{First term = a = 2x; Second term = b = 12]}[/tex]
Now, simplify the expression.
[tex]\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2}[/tex]
[tex]\rightarrowtail (2x)(2x) - (4x)(12) + (12)(12)[/tex]
[tex]\rightarrowtail \boxed{4x^{2} - 48x + 144}[/tex]
what is the answer 58×100 =
a. 1220
b.1555
c5678
d5800
Answer:
Answer D is correct
Step-by-step explanation:
Let us solve this now.
58
× 100
000
00
+ 58
= 5800
------------------------------------------------------------------------------------------
Let us solve this sum in a different way.
If there's a number to multiply by 100 you can simply put 2 zeros to the other number like this.
58 × 100 = 5800
A sphere has a volume of 33.5 cubic inches. Which value is closest to the radius of this sphere in inches?
Answer:
1.9998 inches = radius
Step-by-step explanation:
V=(4/3)πr³
33.5 = (4/3)πx³
33.5 * 3/4 = (4/3)πx³(3/4)
25.125 / π = (πx³) / π
[tex]\sqrt[3]{7.998}[/tex] = [tex]\sqrt[3]{x^3}[/tex]
1.9998 = x
Dr. Smith, a biology professor at Bradford University, has decided to give his classes a standardized biology exam that is nationally normed. This indicates that the normal distribution is an appropriate approximation for the probability distribution of students’ scores on this exam. The probability distribution of students’ scores on this standardized exam can be estimated using the normal distribution shown below.
X
X
Inflection Point
Inflection Point
70
78
86
State the mean of the distribution of the biology exam scores.
State the standard deviation of the distribution of the biology exam scores.
Grading Curve Option I
Originally, Dr. Smith decides to curve his students’ exam grades as follows.
Students whose scores are at or above the percentile will receive an A.
Students whose scores are in the – percentiles will receive a B.
Students whose scores are in the – percentiles will receive a C.
Students whose scores are in the – percentiles will receive a D.
Students whose scores are below the percentile will receive an F.
Find the z-scores that correspond to the following percentiles.
percentile
percentile
percentile
percentile
Using that information, find the exam scores that correspond to the curved grading scale. Assume that the exam scores range from 0 to 100. (Round to the nearest whole number.)
A: –
B: –
C: –
D: –
F:
For inflection Points of
707886The mean and standard deviation are is mathematically given as
x=78
sigma=8
What is Normal distribution?Normal distribution is simply a symmetrical bell-shaped graph that displays the distribution of numerous random variables.
Generally, the equation for the mean is mathematically given as
x=total sum /amount
Therefore
x=70+78+80/3
x=78
In conclusion, Inflexion point for normal distribution is given as
[tex]I=\mu+\sigma\\\\\mu+\sigma=86[/tex]
Also
[tex]\mu-\sigma=70[/tex]
Therefore
[tex]78+\d\sigma=86[/tex]
sigma=8
Read more about mean
https://brainly.com/question/20118982
Randall wants to buy a pizza. He can select from 5 different sizes, 4 types of crust, and 12 toppings for his pizza. Which of the following shows how to find all the different possible choices of 1 size, 1 crust, and 1 pizza topping Randall can buy?
Answer:
240
Step-by-step explanation:
5x4x12=240
if you multiply the amount of sizes he can get times the amount of crust sizes he can get you get the pizza it's self (20)
now including the toppings (12) this means 20x12 gets you the amount of toppings on those induviduale pizza's.
Hope this helps!
Brainliest please!
Please fully rate!
Have a great day!
Please help; struggling in Algebra
Answer:
50
Step-by-step explanation:
The mean splits a data set into 50-50
So the answer is 50
please help me with this question
Answer:
19
Step-by-step explanation:
you get the answers by counting all the x. every sttudent markes 1 x so the answer is 19
In a supermarket, small wedges of cheese each weighing 0.25kg are cut from tins of cheese that weighs 2.5kg. How many wedges can be cut from one tin of cheese? ( Its division)...
Answer:
10 wedges
Step-by-step explanation:
To find the number of wedges, the total weight should divided by weight of one wedge.
[tex]\text{Number of Wedges = $2.5 \div 0.25$}\\[/tex]
[tex]= \dfrac{2.5*100}{0.25*100}\\\\\\=\dfrac{250}{25}\\\\\\= 10 \ \sf wedges[/tex]
help me please!
I'm a little confused
Answer:
Is A
Step-b-step explanation:
40.5
please do number 7. Thank you
Answer:
search mo po sa goggleStep-by-step explanation:
I hope it's helpA rectangle has a perimeter of 42 m and a width of 9 m. What is the length in meters.
Answer:
12 meters
Step-by-step explanation:
2x9=18 (get both widths)
42-18=24 (take away widths of 9m)
24/2=12 (divide by 2 to get one length)
What is the solution to the equation 5x + 2(x − 4) = 5x + x − 10? (1 point) a 3 b 2 c −2 d −3
Answer: C= -2
Step-by-step explanation:
Answer:
C. -2
Step-by-step explanation:
5x + 2(x − 4) = 5x + x − 10
Subtract 5 from both sides,
5x + 2(x - 4) - 5x = 5x + x - 10 - 5x
Simplify,
2(x - 4) = x - 10
Distribute,
2x - 8 = x - 10
Add 8 to both sides,
2x - 8 + 8 = x - 10 + 8
Simplify,
2x = x - 2
Subtract x from both sides,
2x - x = x - 2 - x
Simplify,
x = -2
The cone has a height of 6 and a diameter of 3 inches. What is the volume?
Answer:
14.14
Step-by-step explanation:
We know that to calculate volume of a cone you must do π r^2*h/3
so we can divide the diameter by 2 to find the radius and just input the radius and height into the formula to get 14.14
What is an equation of the line with slope -4/5 and y-intercept 2?
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - [tex]\frac{4}{5}[/tex] and c = 2 , then
y = - [tex]\frac{4}{5}[/tex] x + 2 ← equation of line
The base of an isosceles triangle is represented by the expression 3x - 1. Each of the legs of the isosceles triangle is twice the base. Write an expression for the perimeter of the triangle listing each side. Simplify the expression. (if possible show your work.)
Answer: 15x-5
Step-by-step explanation:
Which of the following is the equation of the circle shown below?
Answer: A
Step-by-step explanation:
The radius of the circle is 7, and the center is at (6,-2), so if we substitute into the formula for the general equation of a circle, we get answer choice A.
write 755 minutes to the nearest hour
[tex] \huge\mathcal\green{ANSWER} [/tex]
[tex] \mathcal\red{755 \: minutes \: is \: equal \: to \: 12.58 \: hours.} [/tex]
[tex] \mathcal\blue{12.58 \: hours \: to \: the \: nearest \:hour \: is \: 13\: hours} [/tex]
The sum of 2 numbers is 55 the greater number is 17 times the smaller number plus 1 find the number
Answer:
3, 52
Step-by-step explanation:
The given relation can be expressed by the equation ...
x +(17x +1) = 55 . . . . . . where x represents the smaller number
__
Solution
18x = 54 . . . . . . . . . collect terms, subtract 1
x = 3 . . . . . . . . . divide by 18
The smaller number is 3. The larger number is 55-3 = 52.
CW part
An airplane flies 2,070 miles in 4.5 hours. What is the speed of the airplane in miles per hour? Use the equation d=rt, where dis distance, ris rate, and t is time.
The airplane's speed is miles per hour.
Answer:
sorry but I actually don't know about it sorty
Answer:
460 miles/hour
Step-by-step explanation:
Distance = Speed x Time
We want the Speed, so let's rearrange the equation:
Speed = Distance/Time
We are given Distance = 2070 miles
and Time of 4.5 hours
Speed = (2070 miles)/(4.5 hours)
Speed = 460 miles/hour
can anyone answer this???
Answer:
9 3/10
Step-by-step explanation:
5 4/5 = 5 8/10
3 1/2 = 3 5/10
3 5/10 + 5 8/10 = 9 3/10
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
[tex]\qquad \tt \dashrightarrow \:5 \frac{4}{5} + 3 \frac{1}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \:\frac{29}{5} + \frac{7}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \:\frac{58 + 35}{10} [/tex]
[tex]\qquad \tt \dashrightarrow \:\frac{93}{10} [/tex]
[tex]\qquad \tt \dashrightarrow \:9\frac{3}{10} [/tex]
HELP ASAP * 70 POINTS*
area of triangular prism:
( perimeter x length ) + base x height[tex]\dashrightarrow \sf (4+3+5) \ x \ 7 \ + 3 \ x \ 4[/tex]
[tex]\dashrightarrow \sf 96 \ ft^2[/tex]
Answer:
Step-by-step explanation:
A = 7 ft
B = 5 ft
C = 3 ft (base of the triangle)
D = 4 ft (height of the triangle)
Surface area of prism = base *height + ( B + C + D)*A
= 4*3 + (5 + 3 + 4) * 7
= 12 + 12 *7
= 12 + 84
= 96 square ft.
Can someone please help me??? Due today! WILL GIVE BRAINLIEST!!! (Please complete both!) (1&2) there is one in the photo and one below
1. Multiply four and eight tenths multiplied by three.
1. thirteen and one tenth
2. thirteen and four tenths
3. fourteen and two tenths
4. fourteen and four tenths
Answer: 20 over 4 or 4/20
Step-by-step explanation: I belive this is you answer for number 2.
Meghan crocheted a triangular shawl.
3.61 ft 3 ft 3.61 ft 4 ft
What is the area of the shawl?
A. 6 square feet
B. 11.22 square feet
C. 12 square feet
D. 17.22 square feet
What is the solution of the inequality shown
below?
x-1 < -10
Answer:
x<-9
Step-by-step explanation:
x−1<−10
Add 1 to both sides.
x<−10+1
Add −10 and 1 to get −9.
x<−9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hoped this helped :)
Answer:
x < -9
Step-by-step explanation:
Bring like terms to one side⇒ x - 1 < -10
⇒ x < -10 + 1
⇒ x < -9
The solution is x < -9 or x is less than negative 9Find five pairs of integers with a sum of -6
Answer:
-5, -1
-9, 3
5, -11
-8, 2
-18, 12
Step-by-step explanation:
Answer:
_8 2. c. bbx. hx xhdj audiovisual audible Suffolk erudition Ayrshire Ysidro rump sidi ecru his
what is the measure of an angle that turns through 1/5 of a circe
Your new cell phone plan charges $50 per month for 400 minutes of talk time. The plan charges $0.10 for each additional minute you talk. You use 50 additional minutes this month. What is your bill for the month?
CLEAR CHECK
Answer:
55
Step-by-step explanation:
cell phone plan charges $50 per month for 400 minutes of talk time. The plan charges $0.10 for each additional minute you talk.
Let the monthly charge be y and x be the number of additional minutes.
So, the equation becomes,
y = 50 + 0.10(x)
For, The given month the additional minutes are 50.
so, y = 50 + 0.10(50) = 55
Answer:
here;
per month-50$ for 400 m
now'
50*0.10$
5$
again;
monthly + additional
50+5
$55
. PLEASE THIS IS A BIG TEST HELP FAST
Identify the correct measure of the pen, to the nearest 1/8 inch.
Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the
explicit rule for this sequence in simplified form?
Answer:
[tex]a_{n} =500(n) + 30,000[/tex]
Step-by-step explanation:
Hey there!
This equasion is correct because [tex]500[/tex] is being multiplied by the multiplyer which is [tex]n[/tex], how many years have gone by
After that The equasion adds [tex]30,000[/tex] because he started with [tex]30,000[/tex].
Answer:
The answer is [tex]a_{n} =500n+29,500.[/tex]
The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is a1 = 30,000.
Step-by-step explanation:
The answer is [tex]a_{n} =500n+29,500.[/tex]a_n = 500n + 29,500. It is easy to check: just plug in n = 1, and you'll get the first year's salary = 500•1 + 29,500 = 30,000.
Another way to find it is [tex]a_{n} =30,000+500(n-1)=30,000+500n-500=29,500+500n[/tex].
The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is [tex]a_{1}=30,000[/tex].
The zero product property states that if a . b = 0, then a = 0, b = 0, or both a = 0 and
b=0.
Speculate as to how you think this property might help you when you solve algebraic
equations of the form: (x-r) (xs) = 0.
Answer:
We all know that if one factor is equal to zero, then the product of all factors is equal to zero.
[tex]ab = 0[/tex] so [tex]a = 0[/tex] or [tex]b=0[/tex]
You have to rewrite the equation as a factored quadratic set both equal to zero.
Example: [tex](x-r_{1} )(x+r_{2}) =0\\[/tex] to [tex](2-2)(-2+2) =0[/tex]
[tex]r_{1} = -2 r_{2} = 2[/tex]
[tex]x = 2, -2[/tex]
I hoped this helped
A 2.25 units
C 5 units
B 4 units
0 16 units
Answer:
B
Step-by-step explanation:
If 2 chords of a circle intersect, then the product of the parts of one chord is equal to the product of the parts of the other chord , that is
BW × WD = AW × WC ( substitute values )
6 BW = 3 × 8 = 24 ( divide both sides by 6 )
BW = 4 units
Answer:
Option B
Step-by-step explanation:
Intersecting Chords theorem: When two chords intersect inside a circle, the product of their segments are equal.
AW * WC = WD * BW
3 * 8 = 6 * BW
[tex]\sf \dfrac{3*8}{6} = BW[/tex]
BW = 4 units
