Answer:
In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section, we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0.
Step-by-step explanation:
Answer:
The answers are f(g(x))=x−7 and g(f(x))=√x2−7. Explanation: This is a composition of functions. f(x)=x2−4. g(x)=√x−3.
Step-by-step explanation:
i used the pemdas treatment
PLEASE HURRY!! WILL GIVE BRAINLIEST
In the space below, use the law of sines or trigonometric ratios to find each length. Round your answer to 1 decimal place. (4 points total: 1 point each)
a. The length of the zip line, z
b. The height of the point on the tree where the top of the ladder rests against it, h
c. The distance between the base of the ladder and the base of the tree, b
d. The distance between the base of the tree and the spot where the zip line is anchored to the ground, B
Trigonometric ratios are useful in calculating the side lengths of a triangle.
The length of the zip line is 222.5 ftThe height where the ladder rests against the tree is 38.6 ftThe distance between the base of the ladder and that of the tree is 10.4 ftThe distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft(a) Length, z
First we calculate (h) using the following sine ratio
[tex]\mathbf{sin(75) = \frac{h}{40}}[/tex]
Make h the subject
[tex]\mathbf{h = 40sin(75)}[/tex]
Next, we calculate (z) using the following sine ratio
[tex]\mathbf{sin(10)= \frac{h}{z}}[/tex]
Make z the subject
[tex]\mathbf{z= \frac{h}{sin(10)}}[/tex]
Substitute [tex]\mathbf{h = 40sin(75)}[/tex]
[tex]\mathbf{z= \frac{40sin(75)}{sin(10)}}[/tex]
[tex]\mathbf{z= 222.5 ft}[/tex]
Hence, the length of the zip line is 222.5 ft
(b) The height, h
In (a), we have
[tex]\mathbf{h = 40sin(75)}[/tex]
Evaluate
[tex]\mathbf{h = 38.6}[/tex]
Hence, the height where the ladder rests against the tree is 38.6 ft
(c) The distance, b
To do this, we make use of the following sine ratio
[tex]\mathbf{sin(15) = \frac{b}{40}}[/tex]
Make b the subject
[tex]\mathbf{b = 40sin(15)}[/tex]
[tex]\mathbf{b = 10.4}[/tex]
Hence, the distance between the base of the ladder and that of the tree is 10.4 ft
(d) Distance, B
To do this, we make use of the following sine ratio
[tex]\mathbf{sin(80) = \frac{B}{z}}[/tex]
Make B the subject
[tex]\mathbf{B = z\ sin(80)}[/tex]
Substitute [tex]\mathbf{z= 222.5 ft}[/tex]
[tex]\mathbf{B = 222.5\ sin(80)}[/tex]
[tex]\mathbf{B = 219.1}[/tex]
Hence, the distance between the base of the tree and the spot where the zip line is anchored to the ground is 219.1 ft
Read more about trigonometry ratios at:
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A car dealer will sell you a used car for $6,898 with $798 down and payments of $169.51 per month for 48 months. What is
the APR? (Round your answer to the nearest tenth of a percent.)
%
Answer:
d
Step-by-step explanalime boba no other
Which is the greatest fraction? 1/3 , 1/4 , 2/4 , 3/8
Answer:1/4 < 1/3 < 3/8 < 2/4 Hope that helps!:)
Step-by-step explanation:
Rewriting as equivalent fractions with the LCD:
1/3 1/4 2/4 3/8
8/24 6/24 12/24 9/24
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
1/4 1/3 3/8 2/4
6/24 < 8/24 < 9/24 < 12/24
Therefore, the sorted inputs in order from least to greatest is:
1/4 < 1/3 < 3/8 < 2/4
someone plz help me asap I will make you brainlist
Two cars leave the same point at the same time traveling in opposite directions. One car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?
9514 1404 393
Answer:
3.5 hours
Step-by-step explanation:
The separation distance is increasing at the rate of 20 mph + 60 mph = 80 mph. It will be 280 miles after ...
time = distance/rate
time = (280 mi)/(80 mi/h) = 3.5 h
The two cars will be 280 miles apart after 3 1/2 hours.
What is the coefficient of 5(-t)
HELPPP
Answer:
-5
Step-by-step explanation:
Here are the steps to take in calculating the correlation coefficient:
Determine your data sets.
Calculate the standardized value for your x variables.
Calculate the standardized value for your y variables.
Multiply and find the sum.
Divide the sum and determine the correlation coefficient.
Rewrite the linear equation in the form y = mx + b.
x + 2y = -8
nonsense answers will be reported.
please help and explain how to solve these! Thanks
Step-by-step explanation:
Use the Pythagorean Theorem to find the missing sides in the triangles.
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex]
Q2. [tex]c^{2}[/tex] = 8^2 + 40^2
[tex]c^{2}[/tex] = 1664
c = [tex]\sqrt{1664}[/tex]
c = 8[tex]\sqrt{26}[/tex]
Find the missing sides of the other triangles and figure out which ones are the same.
Q3. Do the same thing as Q2.
2) A pizza and bottle of soda together cost $14. If the pizza costs 6 times the price of the bottle
of soda, what is the price of each item?
HELP!!
Answer:
$14.6
Step-by-step explanation: because adding how all they are in total.
Mrs. O'Brien's hens laid 9 dozen eggs today. Since a dozen is 12, how many eggs did the hens lay? (5th grade math LOL)
Answer:
108 eggs
Step-by-step explanation:
9×12=108 eggs
Hope it helps!!!
In BOMAMS 'M' stands for
⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ B = Bracket
⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ O = Open
⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ D = Division
⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ M = Multiplication
⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ A = Addition
⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ S = Subtraction
Answer:
B= Bracket
O= Open
D=Divide
M=Multiplication
A=Addition
S=Subtraction
The lengths of the worms (in inches) are listed here.
Which line plot shows this data?
Answer:
Top Left
Step-by-step explanation:
The numbers all coordinate to that plot
Answer:
Plot #1Step-by-step explanation:
The easy way is to look for exceptions. The first and last plots missing 7/8 and same with data set.
There are 4 1's in the set which is correct with the first plot.
a. Exactly 117.125 b. Correct to 2 significant figures c. Correct to 2 decimal places d. In standard form
Answer:
b) 11
c)117.12
1.1×10^2
Those are my answer that try
Is this the correct sum, be honest pls.
Answer:
the answer is B. the sum will be close to ½
½= 14/28
1/4 + 2/7
= (7+8)/28
= 15/28
so, the answer is B
Step-by-step explanation:
hope it helps you
brainliest plz
Each side of a square calendar is 19 inches long. What is the calendar's perimeter?
Answer:
a square has 4 sides each of those sides is 19in long perimeter is all around the square so you would add 19+19+19+19=79in
Answer: What is 76'' perimeter
19" side
P=4a=4·19=76in
Please allow me to know if my answer helped you by clicking thank you, rating or brainly.
Miss Hawaii
Im not sure what method is best used to solve these types of inequalities.
Answer:
There is no specific method you can solve it as you like
Step-by-step explanation:
you can do it as a normal equation first get rid of the (x-9) by multiplying the whole radical by x-9/x-9, then you will get rid of the x-9 down and you will have (x-9) . (x+6) . (x-1) [tex]\leq[/tex] 0 then multiply them together and solve it normally. Also dont forget to do the check part :)
If you need further help comment down :)
Answer:
I would say solve for the x value
Step-by-step explanation:
Swimming Pool On a certain hot summer's day, 492 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for adults. The receipts for admission totaled $1060.00. How many children and how many adults swam at the public pool that day?
There were ______ children at the public pool.
Answer:
# of children = 170, # of Adults = 492 - 170 = 322
Step-by-step explanation:
Define C and A as
C = # of children
A = # of adults
Then,
A + C = 492
1.5C + 2.5A = 1060, so that
1.5C + 2.5(492 - C) = 1060
1.5C + 1230 - 2.5C = 1060
-C = 1060 - 1230
C = 170
If x varies directly as y,and x=18x=18when y=3.6,what is x when y=12
Answer:
x = 60
Step-by-step explanation:
Write an equation using the ratio between x and y:
18/3.6 = x/12 Multiply both sides by 12:
216/3.6 = x
60 = x
Write a function rule that represents b less than 8 is a.
A. b-8=a
B. 8-b=a
C. a=b-8
D. a=b+8
Answer:
Step-by-step explanation: b-8=a
Calculate the quotient of 54256/45 round to the nearest tenth
Answer:
3.4
Step-by-step explanation:
will 3.4 is is rounded of 54256 in decamal
Sue's paycheck is $1,040 for 40 hours of work. If she works 30 hours next week, what will her paycheck be?
Answer: 780
Step-by-step explanation:
1040/40 = 26
If Sue's paycheck contains $1,040 for 40 hours then she gets pay $26 for a hour.
26(30) = 780
To find what her paycheck consist of within 30 hours, you'll multiply 26, the amount she make an hour by 30, hours and you'll get 780.
Highest common factor of 32,48,72
Answer:
8
Step-by-step explanation:
32 = 2 x 2 x 2 x 2 x 2
48 = 2 x 2 x 2 x 2 x 3
72 = 2 x 2 x 2 x 3 x 3
HCF ( 32, 48, 72 )
= 2 x 2 x 2
= 8
Literal equations ….
Answer:
c - 215/5 = p
Step-by-step explanation:
[tex]c = 5p + 215 \\ - 215 \: \: - 215 \\ \frac{c - 215}{5} \: \: \: \: \: \frac{5p}{5} \\ \\ \frac{c - 215}{5} \: = \: p[/tex]
Hope this helps! Brainliest would be appreciated!
Answer:
[tex]p=\frac{c - 215}{5}[/tex]
Step-by-step explanation:
Hello!
Solve for p[tex]c = 5p + 215[/tex]Subtract 215 from both sides
[tex]c - 215= 5p[/tex]Divide both sides by 5
[tex]\frac{c - 215}{5} = p[/tex]The solution for p is [tex]p=\frac{c - 215}{5}[/tex]
How do you write 0.8 as a percentage?
Answer:
.8 equals 80%
Step-by-step explanation:
To find the percentage you multiply the decimal by 100 so .8 multiplyed by 100 equals 80 or 80%
(-2x+8y-11)+(-3y-y+5)
Answer:
-6
Step-by-step explanation:
tbh I just used a calculator
Answer:
-2x + 4y - 6
Step-by-step explanation:
Our equation is this:
-2x + 8y - 11 - 3y - y + 5
Now, combine like terms:
-2x + 4y - 6
This equation is the most simplified it can be.
Hope this helps :)
Patty is ordering vests for her scout troop to wear in the Veterans Day parade. She ordered 12 vests from the Festive Features clothing shop. Since this was a bulk order, Festive Features reduced the price of each vest by $6. The total came to $132. Which equation can you use to find the amount, v, Festive Features normally charges for a vest?
Algebraic equations are equations that have coefficients and unknown variables in them.
The equation that you can use to find the amount "v" Festive features normally charges for a vest is: 12(v - 6) = 132
The current cost per vest was v - $6
Where v = Initial cost of the vest
The total cost of 12 vests after price reduction was:
$132.
Hence, our equation is given as:
$132 = 12(v - $6)
12(v - 6) = 132
$132 = 12v - 72
Add 72 to both sides
$132 + 72 = 12V
204 = 12v
v = 204/12
v = $17
Thus: The amount v, Festive Features normally charges for a vest is $17
Therefore, the equation to find the amount Festive Features normally charges for a vest is 12(v - 6) = 132
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This density curve represents the amount of time students spend waiting for their morning bus to school.
if the median of the density curve is 1.5, which value could be the mean of the density curve?
(B) - μ = 2.5
(the answer)
Answer:
B
Step-by-step explanation:
e2020
The slope is negative in the graph as you move from left to right the line of the graph is going
Answer:
Down
Step-by-step explanation:
The line slants downward from left to right if the slope is negative.
What is the slope of the line shown on the grid?
Answer:
Answer is last option, -3.
Step-by-step explanation:
We know it's going to be a negative slope because the line is going down to the right, so it can't be eighther option 1 or 3.
Next it appears the line is going 3 units down and 1 unit to the right. So it will be written as -3/1 because of rise/run.
Hope this helps/makes sense :)
¿Qué es y cómo se forman un enlace químico?