Answer:49.10988336
Step-by-step explanation:
800 divided 16.29
800÷16.29=49.10988336
to determine the inverse of the given function change f(x) to y switch and y and solve for
Answer:
x, y, 4, 0
Step-by-step explanation:
To determine the inverse of the given function change f(x) to y switch x and y and solve for y.
f(x) = sqrt(x - 4)
y = sqrt(x - 4)
x = sqrt(y - 4)
x^2 = y - 4
x^2 + 4 = y
y = x^2 + 4
The domain of the inverse is the same as the range of the original function.
inverse f(x) = x^2 + 4
x^2 + 4 >= 4
x^2 >= 0
x >= 0
The resulting function can be written as inverse f(x) = x^4 + 4, where x >= 0.
Answer:
x, y, 3, and 0
2 root 2 minus root 2
Answer:
√ 2 or in decimal form 1.4
Have a nice day! :)
WILL MARK BRAINLIEST! A pattern for a sequence is described as 'start with 12 and divide by −4 repeatedly'. Is this a geometric sequence? Explain. I only need like 2 sentences, at most a full paragraph.
Answer:
yes
Step-by-step explanation:
Yes, since 12 is multiplied by (-4)^-1 every time, and the definition of geometric sequence is that the first term has to be multiplied by a certain other constant number (referred to as common ratio (r)). The formula for a geometric sequence is An=A1R^(n-1)
What is the area of the parallelogram?
A. 39. 20 cm2
B. 39.33 cm?
c. 56.58 cm2
D. 78.66 cm2
E. 93.48 cm2
Answer:
D
Step-by-step explanation:
A=bh
A=11.40*6.90
A=78.66 cm^2
Answer:
base x height = area
6.9 x 11.4 = 78.66
D. is the answer
Hope this helps
Step-by-step explanation:
Solve the equation.
r^4/7=16
Answer:
use the indices formula
Estimate 3 3/8 X 10 13/15
Answer:
36.70
Hope this helps!
Answer:
The estimation of this equation is the number 33
Step-by-step explanation:
First Estimate is defined as to roughly calculate or judge the value of a number or a quantity. In this case we are roughly calculating a number or otherwise known as a fraction. So 3 3/8 would be Rounded to the whole number 3 , due to the fact that the 3/8 is less then the 4/8 , and the 10 13/15 would be estimated to 11 , due to the fact that is more than the 7.5/ 15 . So, 3 times 11 would be the estimate of 33.
True of False: The graph of a rational function R never intersects a vertical asymptote. True or False: The graph of a rational function R never intersects a horizontal asymptote. True or False: The graph of a rational function R never intersects an oblique asymptote.
Answer:
All true
Step-by-step explanation:
By definition, an asymptote is a line at which the values of the function approach but never reach as one or both of the x or y coordinates tends to positive or negative infinity. Therefore, the graph of a rational function R never intersects any of its asymptotes.
A bird (B) is spotted flying 900 feet from an observer. The observer (O) also spots the top of a tower (T) at a height of 200 feet. What is the angle of depression from the bird (B) to the observer (O)? (4 points) Right triangle OTB is shown. Side OT labeled 200 and side BO is labeled 900. The angle B is labeled x degrees.
Answer:
x = 12.52°
Step-by-step explanation:
The illustration forms a right angle triangle . The right angle triangle formed has a height of 200 ft and a base of 900 ft.
The opposite side of the triangle is 200 ft while the adjacent side of the triangle is 900 ft.
Using tangential ratio we can find the angle of depression. Therefore,
Let
x = angle of depression
tan x = opposite/adjacent
opposite = 200 ft
adjacent = 900 ft
tan x = 200/900
tan x = 2/9
x = tan⁻¹ 2/9
x = tan⁻¹ 0.222
x = 12.5166739144
x = 12.52°
Answer:
The answer is x = 12.84°
Step-by-step explanation: I took the test
What is the height of the pyramid??
Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem?
The three consecutive odd integers : 7, 9, 11
Further explanation
Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.
The main composition of algebraic expressions are:
• 1. phrases
algebraic forms separated by arithmetic operations
consists of one phrase (monomial) to many phrases (polynomial)
• 2. variable
is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.
• 3. constants
is a fixed value, can be a number
• 4. arithmetic operations
+ , - , : , x
integer number: numbers consist of positive, negative and 0 numbers
Odd number: Any integer that cannot be divided by 2.
The last digit is 1, 3, 5, 7 or 9
Because it is divided by 2, the difference between the two numbers is also 2 for consecutive numbers
Then consecutive odd numbers can be symbolized:
x, x + 2, x + 4, x + 6, x + 8, etc.
For example, 3 consecutive odd numbers are:
x + 4, x + 6, x + 8
the sum of the largest and twice the smallest is 25, can be expressed in terms of arithmetic operations:
(x + 8) + 2 (x + 4) = 25
So the solution:
x + 8 + 2x + 8 = 25
3x + 16 = 25
3x = 9
x = 3
So the smallest number is:
= x + 4
= 3 + 4
= 7
or
Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem? 2x + x + 2 = 25 2x + x + 4 = 25 2x + 2x + 4 = 25.
Answer:
The three integers are 7, 9, 11.
The equation is: 2x + x + 4 = 25
Step-by-step explanation:
The problem asks to use x to represent the smallest of the three integers.
Odd integers are 2 units apart, such as 1, 3, 5, 7. The difference between consecutive odd integers is 2.
Since the smallest odd integer is x, then the next larger one is x + 2. The largest odd integer is x + 2 + 2, or x + 4.
The three odd integers are
x, x + 2, x + 4
The problem then states "the sum of the largest and twice the smallest is 25."
The largest one is x + 4.
Twice the smallest is 2x.
Their sum is 2x + x + 4.
That sum equals 25.
2x + x + 4 = 25
3x + 4 = 25
3x = 21
x = 7
The smallest integer is 7.
Then x + 2 = 7 + 2 = 9,
and x + 4 = 7 + 4 = 11.
Answer: The three integers are 7, 9, 11.
The equation is: 2x + x + 4 = 25
What is 30% of 200? Round to the nearest hundredth (if nec
necessary).
Answer:
60%
Step-by-step explanation:
30/100×200=60%
exactly 60 that's the answer
Estelle bought 7.2 pounds of oatmeal and gave 6.1 pounds of it to a neighbor. How much
oatmeal does Estelle have left?
pounds
Answer:
1.1
Step-by-step explanation:
7.2-6.1
The cost to purchase a movie from Move Time is 3.00 per movie as well as a 10.00 membership fee. To purchase a movie from Movie City, the membership fee is 30.00 and every downloaded movie is 2.00. How many downloaded movies must be purchased for the monthly price to be the same. (Can someone turn this into an equation for me?)
Answer:
20
Step-by-step explanation:
Let x represent the number of movies bought/downloaded
3x + 10 = 2x +30
Subtract 2x and 10 from both sides
x = 20
Answer:
3x + 10 = 2x + 30
Step-by-step explanation:
Let the number of movies downloaded = x
Movie time:
3x + 10
Movie city:
2x +30
3x + 10 = 2x + 30
3x -2x = 30 - 10
x = 20
Which of these statements is true for f(x) =
- (3)
A. The range of (x) is y to
B. The domain of fx) is x > 0.
C. It is always increasing
D. The graph contains
Find the value of x from this question
Answer:
45 degrees
Method: Parallel
Sofia is knitting a scarf. For every 45 pieces of blue yarn she uses, she uses 18 pieces of red yard. What equation can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Sofia uses when knitting a scarf?
Answer:
[tex]5b=2r[/tex]
Step-by-step explanation:
Given: For every 45 pieces of blue yarn Sofia uses, she uses 18 pieces of red yarn
To find: equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r
Solution:
As for every 45 pieces of blue yarn Sofia uses, she uses 18 pieces of red yarn,
number of pieces of blue yarn / number of pieces of red yarn = [tex]\frac{18}{45}=\frac{2}{5}[/tex]
[tex]\frac{b}{r}=\frac{2}{5}\\ 5b=2r[/tex]
Therefore,
equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r is [tex]5b=2r[/tex]
someone please help me !!!
Answer:
x = 120°
Step-by-step explanation:
The equation is given to you:
The sum of the interior angles can be found using the equation:
Sum = (n - 2)180
Note that:
n = # of sides.
Plug in 6 for n in the equation.
∑ = (6 - 2)180
First, solve for the parenthesis:
∑ = (4)180
Next, multiply:
∑ = 4 * 180
∑ = 720
You are solving for one angle. Note that there are 6 angles. Divide the sum of the angles with 6:
720/6 = 120
120° is your answer.
~
Answer:
the answer is 120 degrees
1 GEOMETRY - 1206310)
. An angle expression in an equilateral triangle is 3x + 12. What is the value of X?
Answer:
16
Step-by-step explanation:
The angle in an equilateral triangle is given as:
3x + 12
The angle is an equilateral triangle is 60°. Therefore:
3x + 12 = 60
=> 3x = 60 - 12 = 48
x = 48 / 3 = 16
x is 16
In a sequence, the first term is 4 and the common
difference is 3. The fifth term of this sequence is
1) -11
2) -8
3) 16
4) 19
Answer:
16
Step-by-step explanation:
Apply the arithmetic series formula, with A=4, d=3 and n=5 as n represents the number of terms.
An = A+(n-1)d
This shows that: A5 = 4+ 4(3) = 16.
Fifth term of the arithmetic sequence is 16.
What is arithmetic sequence?"Arithmetic sequences are ordered sets of numbers that have a common difference between each consecutive term."
Given
First term a1 = 4
Common difference d = 3
n = 5
Formula to find fifth term in the arithmetic sequence
[tex]a_{5} = a_{1} +(n-1)d[/tex]
[tex]a_{5}= 4+(5-1)3[/tex]
[tex]a_{5}= 4+(4)3[/tex]
[tex]a_{5}= 4+12[/tex]
[tex]a_{5}= 16[/tex]
Hence, fifth term of the arithmetic sequence is 16.
Learn more about arithmetic sequence here
https://brainly.com/question/15412619
#SPJ2
Create a two column proof for each question. Please help!!
Answer:
In this way it is proved
Duane recorded the temperature outside his window one morning. On the second day,
the temperature went up 7 degrees. On the third day, the temperature went down 10 degrees.
On the fourth day, the temperature went down 6 degrees, and it was 1°F.
What was the temperature on the first day?
A. 0°F
B. 17°F
C. 10°F
D. 7°F
Answer:
C
Step-by-step explanation:
[tex]day 2 = +7\\\\day3 = -10\\\\day 4 = -6\\\\FinalDay = 1[/tex]
so [tex]start +7 -10-6 = 1\\ \\start = 10[/tex]
IVE BEEN STUCK ON THIS QUESTION CAN I PLEASE GET SOME HELP I WOUDL APPRECIATE IT THANK YOU
Answer:
B. 3x² -17
Step-by-step explanation:
f(x)= 3x+1
g(x)= x² -6
(f °g)(x) =f(g(x)) so plug in in f for variable x²-6
(f °g)(x) = 3(x² -6) +1 =3x² -18 +1 = 3x² -17
George is reading a book. At the end of 3 hours he has read 90 pages, and at the end of 5
hours he has read 238 pages. What is the average rate of change? Type your numerical
answer below.
Answer:
74 pages/hour
Step-by-step explanation:
The average rate of change is the difference in the numbers of pages divided by the difference in the numbers of hours.
At the end of 3 hours, 90 pages were read.
At he end of 5 hours, 238 pages were read.
Difference in hours: 5 hours - 3 hours = 2 hours.
Difference in pages: 238 pages - 90 pages = 148 pages
The average rate of change is the difference in pages divided by the difference in hours.
average rate of change = (148 pages)/(2 hours) = 74 pages/hour
Find the length of the hypotenuse in each right triangle. Round to the nearest tenth, if necessary
12.1 ft
14.7 ft
245 ft
15.7 ft
Which equation illustrates the commutative property of addition?
12 + 6 + 15 = 12 + 15 + 6
12 + 6 + 15 = 12 + (6 + 15)
12 + 6 + 15 = 18 + 15
12 + 6 + 15 = 12 + 6 + 15
Answer:
12 + 6 + 15 = 12 + 15 + 6
Hope this helps :D
A cone has a radius of 9 cm and a height of 10 cm . The volume of the cone is___ π cm3 .
Please answer this question
Answer:
a = - 2, b = - 1
Step-by-step explanation:
If a polynomial f(x) is divisible by (x + h) then f(- h) = 0
P(x) is divisible by (x + 1), thus P(- 1) = 0 , that is
P(- 1) = (- 1)³ + a(- 1)² - b + 2 = 0 , that is
- 1 + a - b + 2 = 0
a - b + 1 = 0 ( subtract 1 from both sides )
a - b = - 1 → (1)
P(x) is divisible by (x - 2) thus P(2) = 0 , that is
P(2) = 2³ + a(2)² + 2b + 2 = 0 , that is
8 + 4a + 2b + 2 = 0
4a + 2b + 10 = 0 ( subtract 10 from both sides )
4a + 2b = - 10 → (2)
Solve (1) and (2) simultaneously
Multiply (1) by 2
2a - 2b = - 2 → (3)
Add (2) and (3) term by term eliminating the term in b
6a = - 12 ( divide both sides by 6 )
a = - 2
Substitute a = - 2 into (1) and solve for b
- 2 - b = - 1 ( add 2 to both sides )
- b = 1 ( multiply both sides by - 1 )
b = - 1
Use the discriminant to determine the number of real solutions to the quadratic equation. −u2+2u−5=0 What is the number of real solutions? Select the correct answer below: 0 1 2
Answer: None, 0 real roots
Step-by-step explanation:
To find the discriminant, you simply do [tex]b^2 - 4ac[/tex]
b = 2
a = -1
c = -5
[tex]2^2-4(-1)(-5) = 4 - 20 = -16[/tex]
iff x > 0: 2 roots
iff x < 0: none
iff x = 0: 1 root
Actual Explanation and Intuition behind it:
If the answer is negative, you cant take the square root of the number. Because no matter what, you will always strive for a positive number. Unless you implement calculus, but that is way beyond a middle schoolers level
If the answer is postive, there will be 2 roots because you can make x itself equal to a negative number because when you square it, it will be positive. So the positive and negative value will be an acceptable answer
If the answer is 0, then youre basically doing the square root of 0. Thats equal to 0
The discriminant formula itself comes straight from the quadratic formula, which you should memorize because it is extremely useful.[tex]\frac{-b (+/-) \sqrt{b^2-4ac} }{2a}[/tex]
Simplify x^-3*(y^8*z^5)/x^-2*y^-7*-6
If f(x) = 3/x+2-/x-3, Complete the following statement: The domain of for f(x) is all real numbers _____ than or equal to 3
Answer:
Step-by-step explanation:
Answer:
Greater
Step-by-step explanation:
because Since the radicand is x - 3, the value of x cannot be less than 3 because that would make the value of sqrt (x - 3) an imaginary number.