Solve for x. A. 4 B. 3 C. 5 D. 7
Answer:
C. 5
Step-by-step explanation:
The product of distances to the near and far intercepts with the circle are the same for each line segment. In the case of the tangent, those distances are the same, so you have ...
6×6 = 4×(4+x)
36 = 16 +4x . . . . eliminate parentheses
9 = 4 + x . . . . . . .divide by 4; next, subtract 4
5 = x
FACTORISE: X3 + 3X2 +3X + 1
Answer:
(x+1)(x+1)^2
Step-by-step explanation:
Answer:
[tex]\Huge \boxed{(x+1)^3}[/tex]
Step-by-step explanation:
x³ + 3x² + 3x + 1
Apply cube of sum rule :
⇒ a³ + 3a²b + 3ab² + b³ = (a + b)³
(x)³ + 3(x)²(1) + 3(x)(1)² + (1)³
⇒ a = x
⇒ b = 1
(x + 1)³
5
Type the correct answer in the box. Use numerals instead of words.
What value of x makes this equation true?
-6x + 3 = 45
x =
Answer:
45
Step-by-step explanation:
-6x = 45-3
-6x= 42
X = 42/-6
X= -7
Julie and Kristen are the partners in a local sporting goods shop. They needed $51,000 to start the business. They invested in the ratio 5:12, respectively. a. How much money did each invest? b. What percent of the business was owned by Kristin? Round to the nearest tenth of a percent.c. If the business grows to $3,000,000, what percent of it will Julie own? Round to the nearest tenth of a percent.
Answer:
See below.
Step-by-step explanation:
They invested in a ratio of Julie:Kristen of 5:12.
5 + 12 = 17
Julie invested 5/17 of the amount, and Kristen invested 12/17 of the mount.
a.
Julie: 5/17 * $51,000 = $15,000
Kristen: 12/17 * $51,000 = $36,000
b.
Kristen owns 12/17 of the business.
As a percent, 12/17 = 12/17 * 100% = 70.6%
c.
The percent of the business each owns does not change with the amount the company is worth.
Kristen owns 70.6%, so Julie owns 100% - 70.6% = 29.4%
A car factory produces 100 cars in a day if C is the total number of cars produced in the days which equation represents the number of cars as a function of the number of days
Answer:
C = 100x
Step-by-step explanation:
We can create an equation where x represents the number of days.
C = 100x
This represents the situation, since 100 cars are made every day.
For example, in 2 days, 200 cars will be made since 100(2) = 200.
Anyone, please help me!!!
Answer:
Step-by-step explanation:
Hint: 1- 2sin²x = Cos 2x
LHS = 1 - 2Sin² (π/4 - Ф/2)
= Cos 2 *(π/4 - Ф/2)
= Cos 2*π/4 - 2*Ф/2
= Cos π/2 - Ф
= Sin Ф = RHS
Answer:
RHS=sinA
Step-by-step explanation:
LHS=1-2sin^2(45-A/2)
=cos2(45-A/2)
=cos(90-A)
=sinA proved.
Please help this Homework assignment is due tomorrow ;-;
Population density is the number of people per unit of area. The population density of a certain region is 45 people per square
kilometer. If the region covers 32 square kilometers, what is the population of the region?
The population of the region is
people
Answer:
1440 people
Step-by-step explanation:
If we have 45 people per square kilometer, and we have 32 square kilometers, we can imagine it as a little “table.”
There are 32 boxes, and inside each of those 32 boxes, there are 45 little dots.
This is multiplication, so we can just multiply 32 and 45.
[tex]32\cdot45=1440[/tex]
Hope this helped!
What is the value of 3 to the power 2 over 3 to the power 4
Greetings from Brasil...
From potentiation properties:
Mᵃ ÷ Mᵇ = Mᵃ⁻ᵇ
division of power of the same base: I repeat the base and subtract the exponents
In our case
3² ÷ 3⁴
3²⁻⁴
3⁻²We also know about another property: P⁻ⁿ = (1/Pⁿ) so
3⁻² = 1/3²
1/9Answer:
1/9
Step-by-step explanation:
hope i helped
Mai rented a truck for one day. There was a base fee of $13.25, and there was an additional charge of 5 cents for each mile driven. The total cost, (in
dollars), for driving x miles is given by the following function
C(x) 0.05x + 13.25
What is the total rental cost if Mal drove 20 miles?
Answer: $14.25
Step-by-step explanation:
Plug in 20 for x.
(0.05)(20) + 13.25 = 14.25
Answer: $14.25
Step-by-step explanation:
just input 20 miles into the equation and solve for the rental cost
c(x) = 0.05x + 13.25
c(20) = 0.05(20) + 13.25
c(20)= 1 + 13.25
c(20) = 14.25
The simplified form of the expression (5.23x + 3.76) − (3.67x − 6.39) is .
Answer:
(5.23x + 3.76) − (3.67x − 6.39) is ( . )
Step-by-step explanation:
Yes
Answer:
1.56x + 10.15
Step-by-step explanation:
(5.23x + 3.76) – (3.67x – 6.39)
(a + b) – (c – d) = a + b – c + d
Remove the parentheses and change the signs as needed:
5.23x + 3.76 – 3.67x + 6.39.
Group the like terms and simplify:
5.23x – 3.67x + 3.76 + 6.39
1.56x +10.15.
The simplified form of (5.23x + 3.76) – (3.67x – 6.39) is 1.56x + 10.15.
While on a beach vacation, Tasha makes a scale drawing of points of interest between two
piers. On her drawing, 2 cm represents 0.5 mi. The piers are 12 cm apart on Tasha's drawing.
What is the actual distance between the two piers?
(I need this answered by August 25th.)
Answer:
The distance between the two piers is 3 miles.
Step-by-step explanation:
If in Tasha's drawing 2cm represents 0.5 miles between the two piers, and the distance between the two piers in Tasha's drawing is 12cm.
The answer is found by the rule of three:
2 cm : 0.5 miles
12 cm : X
X = (12 * 0.5) / 2
X = 3 miles.
The distance between the two piers is actually 3 miles.
I Need Help With This Math Question badly
Answer:
[tex]3^{\frac{1}{6} }[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
Evaluating the parenthesis, gives
[tex]\frac{3^{\frac{3}{4} } }{3^{\frac{3}{8} } }[/tex] = [tex]3^{\frac{3}{4}-\frac{3}{8} }[/tex] = [tex]3^{\frac{3}{8} }[/tex] , then
[tex](3^{\frac{3}{8})^{\frac{4}{9} } }[/tex] → [tex]\frac{3}{8}[/tex] × [tex]\frac{4}{9}[/tex] = [tex]\frac{1}{6}[/tex]
= [tex]3^{\frac{1}{6} }[/tex] with x = [tex]\frac{1}{6}[/tex]
reduce the following rational expression to lowest terms if possible 12/16 Please answer me fast Will mark as a brainlist
Answer:
3/4
Step-by-step explanation:
Find the number that can be divided into both numbers.
12÷4 =3 16÷4=3
List all numbers from the given set that are: a. Natural numbers, b. Whole numbers, c. integers, d. Rational numbers, e. Irrational numbers, f. Real numbers.
Answer:
The given question is incomplete.
The set of numbers should be : -11, -5/6, 0, 0.75, [tex]$\sqrt5$[/tex], [tex]$\pi$[/tex], [tex]$\sqrt{64}$[/tex],
Step-by-step explanation:
a). Natural numbers : Natural numbers starts form 1 up to positive infinity. They are non negative integers.
The numbers are : [tex]$\sqrt{64}$[/tex]
b). Whole numbers : Whole numbers are numbers which starts from 0 to positive infinity.
The numbers are : 0, [tex]$\sqrt{64}$[/tex]
c). Integers : Integers are both positive and negative numbers including 0. But they are not fractional numbers.
The numbers are : -11, 0, [tex]$\sqrt{64}$[/tex]
d). Rational numbers : The rational numbers are the whole numbers or may be fractions which are represented by divisions of any two integers, in the form of m/n.
The numbers are : -11, -5/6, 0, 0.75, [tex]$\sqrt{64}$[/tex]
e). Irrational numbers: Irrational numbers are those numbers numbers which cannot be written in a fraction form. They are not rational numbers
The numbers are : [tex]$\sqrt5, \pi$[/tex]
f). Real numbers : Real numbers are those numbers which do not have any imaginary component in it.
The numbers are : -11, -5/6, 0, 0.75, [tex]$\sqrt5$[/tex], [tex]$\pi$[/tex], [tex]$\sqrt{64}$[/tex],
jared wanted to find the weight of his baby goat jared held his goat while he stood on a scale . together they weighed 58.9 kg without his goat jared weighed 56.2 kg what is the weight of the baby goat.
Answer:
Step-by-step explanation:
Weight of baby goat = Weight of Jared with goat - Weight of Jared
= 58.9 - 56.2
= 2.7 Kg
Using the numbers and symbols, solve 7x = 42
Answer:
you currently have the value of x × 7, you need to divide it by 7 to find the value of x.
42 ÷ 7 = 6
Step-by-step explanation:
how to write 7/10 into percent
Answer:
Convert fraction (ratio) 7 / 10 Answer: 70%
Answer:
70%
Step-by-step explanation:
To find percentage = fraction * 100
= 7/10 * 100
= 0.7 * 100
= 70%
how many elements are in the set (whole numbers between 3 and 15)?
Answer:
Hey there!
The numbers in this set are: 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.
We see that there are 13 numbers in this set.
Let me know if this helps :)
Hello!
Answer:
13 sets
Step-by-step explanation:
So you just have to count the numbers! :)
{3,4,5,6,7,8,9,10,11,12,13,14,15}
If you count the numbers, you will see there are 13 numbers.
**THE WHOLE NUMBERS BETWEEN 3 & 15 IS: 3,4,5,6,7,8,9,10,11,12,13,14,15!**
Therefore, there is 13 sets because if you count the numbers “3,4,5,6,7,8,9,10,11,12,13,14,15” you can see that there will be 13 numbers.
So the answer has to be 13 sets!
Hope this helps!
~Have a wonderful day!~
By,Cherry
Can 8x be added to 56? Why or why not?
Use rich text?
Answer:
see below
Step-by-step explanation:
8x and 56 are not like terms
x is a variable and 56 is a constant
8x can be added to 56 but they cannot be combined together into one term
8x+56 cannot be combined because they are not like terms
the sum of a rational number and a irrational number equals:
The image of the A(2, -3) after a transformation by the mapping (x,y) to ( 2x, y+2) is the point: *
3 points
A) (4, 1)
B) (4,-1)
C (4, 5)
(D (4,5)
Answer:
Step-by-step explanation:
B
subtract 2/7 - 1/3 write your answer with simplest form
Answer:
-1/21
Step-by-step explanation:
2/7 - 1/3
The common denominator is 21
2/7 * 3/3 - 1/3 *7/7
6/21 - 7/21
-1/21
I need help please help me out
Step-by-step explanation:
First one..
move the green dot one step to the left
Interactive table
U is under the operation a-b
where a = -1 and b = -2
U = -1 - (-2)
U = -1 + 2
U = 1
V is under the operation a-b
where a = -4 and b = 1
V = -4 -1
V = -5
Find the total surface area. A. 192 cm² B. 197 cm² C. 109 cm² D. 216 cm²
Answer:
D) 216cm²
Step-by-step explanation:
Triangles: a=1/bh
a=1/2(6)(8)
a=24 (2 of them)
Base: 6x7=42
Back: 8x7=56
Front Rectangle: 7x10=70
24+24+42+56+70=216cm²
Can someone help me with this please I need it by today
Answer:
9 I THINK
Step-by-step explanation:
77 minus 14 equals 63 and 63 divided by 7 equals 9
If R is between A and D and
DR = 8 and DA = 15 then AR=
Answer:
7
Step-by-step explanation:
heres a model
A ----------R---------D
A ----?-----R----8---D
A----------15----------D
15 - 8 = 7
AR = 7
Help plzz I think it is 1 or 2 ..... By The square root property, if k is a real number and x^2=k, then what is x equal to? 1. √k 2. =| √k 3. -√k 4. k^2
Answer:
[tex]\Large \boxed{2. \ x=\pm \sqrt{k}}[/tex]
Step-by-step explanation:
[tex]x^2 =k[/tex]
k is a real number.
We take the square root of both sides of the equation.
[tex]\sqrt{x^2 } =\pm \sqrt{k}[/tex]
Simplifying the equation.
[tex]x=\pm \sqrt{k}[/tex]
Answer:
x = ±√k
Step-by-step explanation:
If:
[tex]x^2 = k[/tex]
We'll take square root on both sides
=> [tex]\sqrt{x^2} = +/- \sqrt{k}[/tex]
=> x = ±√k
Solve for d. 4d-4= 5d -8
Answer:
d=4
Step-by-step explanation:
We are given the equation:
4d-4=5d-8
and asked to solve for d. In order to solve for d, we must isolate it on one side of the equation.
First, subtract 4d from both sides of the equation.
(4d-4d)-4=(5d-4d)-8
-4= (5d-4d)-8
-4= d-8
Next, add 8 to both sides of the equation.
(-4+8)=d-8+8
(-4+8)= d
4=d
Let's check our solution. Plug 4 in for d and solve.
4d-4=5d-8 (d=4)
4(4)-4=5(4)-8
Multiply 4 and 4.
16-4=5(4)-8
Subtract 4 from 16.
12= 5(4)-8
Multiply 5 and 4.
12= 20-8
Subtract 8 from 20.
12=12
The statement above is true, so we know our solution is correct.
The solution to the equation is d=4.
Answer:
It is 4
Step-by-step explanation:
KHAN
-3(x+1) do you know the answer??
-3x-3 is the answer because you need to multiple-3 into x and one
if segment AB is 4 units, segment AD is 23 units, and segment CD is 12 units, what is the length of segment BC?
PLEASE HELP
Answer:
AD=23 because it is the same length as the top line. 12+4 is 16 and 23-16=7. X=7
Step-by-step explanation: