Answer:
step 4 is correct because h-¹(x)=2x+5
2 divided into 3 multiply 1
Answer:
either 2/3
or 3/2
but its probably 2/3
thanks for the easy points!
Step-by-step explanation:
help pls due today thanks
Answer:
18/3 is 6
-18/3 is -6
-18/(-3) is 6
18/(-3) is -6
Help Pleaseeeeeeeeeeeeee!!!!!!!!! Help!!!!!!!
Answer:
i think its C and E
Step-by-step explanation:
( correct me if im wrong, i hope this helps!! )
please look at the question, I uploaded it!
Answer:
angle JKL is 21
Step-by-step explanation:
the angle of the two triangles are the same, so (2x + 1) = (3x - 9)
You would then find the x, which equals to 10.
Then replace x with ten with the equation.
A thrill at an amusement park travels 55 miles per hour.Round to the nearest hundredth,how many feet per second is this?
9514 1404 393
Answer:
80.67 fps
Step-by-step explanation:
1 mi/h = 22/15 ft/s
Multiplying this equation by 55, we get ...
55 mi/h = 1210/15 ft/s = 80 2/3 ft/s ≈ 80.67 ft/s
Use the following definition of absolute value to prove the given statements: If x is a real number, then the absolute value of x , | x | , is defined by: | x | = { x if x ≥ 0 − x if x < 0 For any real number x , | x | ≥ 0 . Moreover, | x | = 0 implies x = 0 . For any two real numbers x and y , | x | ⋅ | y | = | x y | . For any two real numbers x and y , | x + y | ≤ | x | + | y | .
Answer:
Proved all parts below.
Step-by-step explanation:
As given ,
|x| = [tex]\left \{ {{x , x\geq 0} \atop {-x, x< 0}} \right.[/tex]
To prove- a) For any real number x , | x | ≥ 0 . Moreover, | x | = 0 ⇒ x = 0
b) For any two real numbers x and y , | x | ⋅ | y | = | x y | .
c) For any two real numbers x and y , | x + y | ≤ | x | + | y | .
Proof -
a)
As given x is a real number
Also , by definition of absolute value of x , we get
| x | ≥ 0
Now,
if |x| = 0
⇒ x = 0 and -x = 0
⇒ x = 0 and x = 0
⇒ x = 0
∴ we get
| x | = 0 ⇒ x = 0
Hence proved.
b)
To prove - | x | ⋅ | y | = | x y |
As we have,
|x| = [tex]\left \{ {{x , x\geq 0} \atop {-x, x< 0}} \right.[/tex]
|y| = [tex]\left \{ {{y , y\geq 0} \atop {-y, y< 0}} \right.[/tex]
|xy| = [tex]\left \{ {{xy , x,y > 0 and x,y < 0} \atop {-xy, x > 0, y< 0 and x <0 , y > 0}} \right.[/tex]
We have 4 cases : i) when x > 0 , y > 0
ii) when x > 0 , y < 0
iii) when x < 0, y > 0
iv) when x < 0, y < 0
For Case I - when x > 0 , y > 0
⇒ |x| = x, |y| = y
⇒|x|.|y| = xy
For Case Ii - when x > 0 , y < 0
⇒ |x| = x, |y| = -y
⇒|x|.|y| = -xy
For Case Iii - when x < 0 , y > 0
⇒ |x| = -x, |y| = y
⇒|x|.|y| = -xy
For Case IV - when x < 0 , y < 0
⇒ |x| = -x, |y| = -y
⇒|x|.|y| = (-x)(-y) = xy
∴ we get , from all 4 cases
| x | ⋅ | y | = | x y |
Hence Proved.
c)
To prove - | x + y | ≤ | x | + | y |
Let
|x| = |x + y - y|
≥ |x + y| - |y| ( Triangle inequality)
⇒ |x| + |y| ≥ |x + y|
Hence Proved.
how many hours and minutes are there between 9:30 and 1:50
Answer:
4 hours and 20 minutes!
Answer:
Step-by-step explanation:
PM or AM?
If it is 9:30 AM to 1:50 PM, it is 4 hours and 20 minutes.
if it is 9:30 PM to 1:50 AM, it is also 4 hours and 20 minutes.
If it is 9:30am to 1:50 AM, it is 16 hours and 20 minutes.
pls i need help due tonight
Answer:
-3/4
Step-by-step explanation:
-1 1/4 = -5/4
1/2 = 2/4
-5 + 2 = -3
-3/4
Answer: The answer is -3/4
Step-by-step explanation: covert the mixed numbers to improper fractions, then find the LCD and combine.
A principal of $4200 is invested at 9% Interest, compounded annually. How much will the investment worth after 6 years? Use the calculator provided and round your answer to the nearest dollar
The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed, with mean μ = $633 and standard deviation σ = $45.
(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.)
(b) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.09? (Round your answer to the nearest dollar.)
$
Answer:
(a) 0.3863
(b) $693
Step-by-step explanation:
Mean μ = $633
Standard deviation σ = $45.
(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.)
We solve this question using the z score formula
z = (x-μ)/σ
where:
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x > $646
z = $646 - $633/$45
z = 0.28889
Probability value from Z-Table:
P(x<646) = 0.61367
P(x>646) = 1 - P(x<646) = 0.38633
Approximately = 0.3863
The probability that the actual costs will exceed the budgeted amount is 0.3863
(b) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.09? (Round your answer to the nearest dollar.
Let the budgeted amount = x
Converting 0.09 to percentage = 0.09× 100% = 9%
100 - 9% = 91%
We find the z score of 91%
= 1.341
We are to find x
Using z score formula
z = (x-μ)/σ
1.341 = x - 633/45
Cross Multiply
1.341 × 45 = x - 633
60.345 = x - 633
x = 60.345 + 633
x = $693.345
Approximately to the nearest dollar is $693
The image is triangle ABC Clara says the two triangles are congruent because their angle measures are the same to you agree explain how you know
Answer:
Step-by-step explanation:
The are similar. That means that one could have its sides measured in miles and the other measured in a few inches. All three angles could be equal, but they are not congruent.
You need at least one properly placed side to make them congruent.
Evaluate w divided by z if w= 6/7 and z= 3
Answer:
[tex]\dfrac{w}{z}=\dfrac{2}{7}[/tex]
Step-by-step explanation:
Given that,
[tex]w=\dfrac{6}{7}[/tex]
z = 3
We need to find [tex]\dfrac{w}{z}[/tex].
Put w = 6/7 and z = 3 in the w/z
[tex]\dfrac{w}{z}=\dfrac{\dfrac{6}{7}}{3}\\\\=\dfrac{6}{7}\cdot\dfrac{1}{3}\\\\=\dfrac{2}{7}[/tex]
So, [tex]\dfrac{w}{z}=\dfrac{2}{7}[/tex]. Hence, the correct answer is 2/7.
What are the slope and y-intercept of the line?
y
10
00
6
4
2
0
0
N
4
6
8
The slope is
Answer:
the slope is 4,3 and the y intercept is 2
Answer:
Niiger
Step-by-step explanation:
What is the length of the hypotenuse to the nearest hundredth place in the diagram
below?
570
4cm
A 2.60
B 6.16
C 4.77
D 7.34
What was the answer
Answer:D
Step-by-step explanation:
Find the restrictions on the variable.
Answer:
[tex]\frac{x-5}{x+1}[/tex], [tex]x\neq -1, x\neq -9[/tex]
Step-by-step explanation:
x^2 + 4x - 45
= (x+9)(x-5)
x^2 + 10x + 9
= (x+9)(x+1)
So the fraction goes to
[tex]\frac{(x+9)(x-5)}{(x+9)(x+1)}[/tex] which is [tex]\frac{x-5}{x+1}[/tex].
Since the denominator cannot be 0, x^2 + 10x + 9 cannot be equal to 0. Therefore x cannot be -1 or -9.
What is the area of this figure? 7 km 6 km 12 km 4 km 4 km 5 km 3 km 3 km
The area of figure will be;
⇒ 105.56 km²
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The figure is shown.
Now,
The area of figure is find as;
Total area = (12 × 7) + (π × 4² / 4) + (3 × 3)
= 84 + 3.14 × 4 + 9
= 93 + 12.56
= 105.56 km²
Thus, The area of figure will be;
⇒ 105.56 km²
Learn more about the area visit:
https://brainly.com/question/11564229
#SPJ1
1. If the spinner below is spun once, find each
probability.
Answer: P(4) - 4/12,1/3,33%,0.33
Step-by-step explanation:
My teacher went over the answers
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!
Which equation represents the line shown in the graph?
5.
4
3
2
1
-6 -5 -4 -3 -2 -1 0
2
4 5
6
-2
-3
-4
-5
-6
Total of three numbers is 45.5 two of them are equal the third one is half of other two what are the three numbers
Answer:
im taking a nap
Step-by-step explanation:
Mrs kin picked some tomatoes from her garden. She use 5/9 of her tomatoes to make pasta sauce. Then she used 5/8 of the remainder to make a salad and saved the rest for the next day. What fraction of the tomatoes did mr kin saved
Answer:
1/6 of the tomatoes
Step-by-step explanation:
So first, after she uses 5/9 she has 1 - 5/9 = 4/9 of her tomatoes left. Then, she uses 5/8 of that 4/9 to make a salad, so she used 5/8 * 4/9 = 5/18 of her tomatoes overall. That means that she has 4/9 - 5/18 = 8/18 - 5/18 = 3/18 = 1/6 of her tomatoes saved.
Answer:
2 and 21/32
Step-by-step explanation:
Which example shows the distributive property?
a. a (b + c) = ab +ac
b. (a + b) + 9 = a (9 + b)
c. a + a + a = 3a
d. a(0)
Drag the numbers to create three ratios that are equivalent to 4:12.
Each number may be used once or not at all.
Answer:
20:60 12:36 2:6
Step-by-step explanation:
The second number is going to be 3 times as big as the first ine
Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8Working out Choose a person aged 19 to 25 years at random and ask, "In the past seven days, how many times did you go to an exercise or fitness center or work out?" Call the response Y for short. Based on a large sample survey, here is a probability model for the answer you will get:8
Solution :
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
This is a valid probability distribution.
In the question it is given that call for a response of Y for short of a sample of people aged between 19 years to 25 years.
Also the event that describes the value of call for response greater than 3 i.e. (Y < 3) is a randomly chosen people between the age 19 to 25 years old who has gone to fitness center or did exercise fewer than 3 days.
Valid probability models add up to 1
The probability is a valid probability model
The probability model is given as:
Days : 0 1 2 3 4 5 6 7
Probability : 0.68 0.05 0.07 0.08 0.05 0.04 0.01 0.02
To determine if the model is a valid probability model, or not
We make use of:
[tex]\mathbf{\sum P(x) = 1}[/tex]
So, we have:
[tex]\mathbf{0.68 + 0.05 + 0.07 + 0.08 + 0.05 + 0.04 + 0.01 + 0.02 = 1}[/tex]
Add the probabilities
[tex]\mathbf{ 1= 1}[/tex]
The above equations shows that:[tex]\mathbf{\sum P(x) = 1}[/tex]
Hence, the probability is a valid probability model
Read more about probability models at:
https://brainly.com/question/9965602
What is the value of the expression ?
[tex]16 - 3 \times 5 {}^{2} \div 5[/tex]
[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{1} [/tex]
[tex]16 - 3 \times 5 {}^{2} \div 5 {}^{ - 1} [/tex]
[tex]16 - 3 \times 5 {}^{2 - 1} [/tex]
[tex]16 - 3 \times 5 {}^{1} [/tex]
[tex]16 - 3 \times 5[/tex]
[tex]16 - 15[/tex]
[tex]1[/tex]
HopeItHelps you
#CarryOnLearning
Given that f(x)=x^2-1
A) find f(5)
B) find f^-1(x)
C)f^-1(8)
Answer:
a) f(5) = 24
b) The inverse of given function
f⁻¹ ( x ) = √x+1
c) f⁻¹ ( 8 ) = √9 =3
Step-by-step explanation:
Explanation:-
Given f(x) = x² - 1
a)
f(5) = 5² -1 = 25-1 =24
b)
put y = f(x) = x² - 1
⇒ y = x² - 1
⇒ x² = y + 1
⇒ x = √y+1
⇒ f⁻¹ ( y ) = √y+1 ( ∵ f⁻¹ ( y) =x)
The inverse of given function
f⁻¹ ( x ) = √x+1
c) put x=8
f⁻¹ ( 8 ) = √8+1 = √9 =3
HELP!!! find the value of x
Answer:
don't know
.....................
Answer:
x = 12
Step-by-step explanation:
Consider three orthogonal triangles (see picture)
1. The smallest triangle
2. The medium triangle
3. The big triangle that holds both triangles.
All are orthogonal (or right triangles) so you can use Pythagoras Theorem:
"The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"
Use Pythagoras theorem on triangle 1.
[tex]a^{2} = 3^{2} + 6^{2} = 45[/tex]
Now user Pythagoras on triangle 2.
[tex]b^{2} = x^{2} + 6^{2} = x^{2} + 36[/tex]
Now use Pythagoras on triangle 3 (the big triangle).
[tex](3 + x )^{2} = a^{2} + b^{2}\\x^{2} + 6x + 9 = a^{2} + b^{2}[/tex]
Now replace the values for [tex]a^{2}[/tex] and [tex]b^{2}[/tex] from the two equations derived from triangle 1 and 2:
[tex]x^{2} + 6x + 9 = 45 + x^{2} + 36[/tex]
The two [tex]x^{2}[/tex] get cancelled out, so:
[tex]6x + 9 = 45 + 36\\x = 12[/tex]
TA DA!
Convert each of these fractions into a percent.
a. 3/20 -
b. 1/20 -
c. 12/50 =
d. 80/200 =
e. 8/25 =
f. 8/10 =
g. 16/400 =
h. 24/300 =
i. 3/5 =
j. 3/2 =
k. 45/500 =
I. 30/25 =
Answer:
15%
5%
24%
40%
32%
80%
32%
54%
60%
66%
9%
89%
Step-by-step explanation:
Please help me ASAP, Im so stuck.
Answer:
b
Step-by-step explanation:
What is -20 + 1/2 in a decimal form
Answer: The answer is -19.5
Step-by-step explanation: This is because 1/2 is .5 in decimal form. A negative PLUS a positive = is negative since the -20 is larger than .5
Answer:
the answer would be -19.5 :)
Step-by-step explanation: