Answer:
217°
Step-by-step explanation:
the tangent ratio is positive in the first and third quadrants.
37° is the angle in the first quadrant
then the angle in the third quadrant is
180° + 37° = 217°
The water pressure on a submerged object is given by P = 64d, where P is the pressure in pounds per square foot, and d is the depth of the object in feet.
a. solve the formula for d.
b. Find the depth of a submerged object if the pressure is 672 pounds per square foot.
a. Solving for 'd' as the subject of formula gives d = P/64
b. The depth of a submerged object if the pressure is 672 pounds per square foot is 10. 5 feet
What is a function?A function can be defined as an expression, law or rule that shows the relationship between two variables.
These variables are namely;
Independent variableDependent variableGiven the function as;
P = 64d
Where;
P is the pressure in pounds per square foot d is the depth of the object in feetNow, let's make the variable 'd' the subject of formula
Divide both sides of the equation with the coefficient of the variable 'd' which is 64. This is done so that the variable stands alone.
We have;
P/64 = 64d/64
d = P/ 64
If the pressure, P equals 672 pounds per square foot
Substitute the value of the variable into the formula, we have;
d = P/64
Then,
d = 672/64
Find the quotient
d = 10. 5 feet.
Thus, the value is 10. 5 feet
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What system of linear inequalities is shown in the graph?
The system of inequalities is:
y < -4*x + 1
y ≥ (1/2)*x + 1
Which system of linear equations is graphed here?Here we can see two lines, one dashed that passes through (0, 1) and (-1, 5), then the slope is:
s = (5 - 1)/(-1 - 0) = -4
And the y-intercept is 1, then the inequality is:
y < -4*x + 1
The other line is solid, and the shaded region is above the line.
This line passes through (0, -1) and (2, 0), then the slope is:
s = (0 + 1)/(2 - 0) = 1/2
So the inequality is:
y ≥ (1/2)*x + 1
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need asap TIA bonus brownie points if you edit the graph <3
From the following figures, we have that:
a) The sequence of transformations that maps triangle ABC to triangle A''B''C'' is given by:
Reflection over the x-axis.Translation of 11 units right and 1 unit up.b) The rules are given as follows:
Reflection: (x,y) -> (x, -y).Translation: (x,y) -> (x + 11, y + 1).What are transformations on the graph of a function?The transformations used in this problem are as follows:
Translation: Can be in the direction left/right or down/up, changing just the position of the figure.Reflections: Can be a reflection over one of the axes or over a line, changing the orientation of the figure.For this problem, the orientation of the triangle changed, with the C at the bottom of the triangle being transformed into C'' at the top of the transformed triangle, hence the figure was reflected over the x-axis, and the rule is:
(x,y) -> (x, -y).
After the reflection, the coordinates of C' are given as follows:
C' (-4, -1).
The final coordinates of C'' are given as follows:
C'' (7, 0).
Meaning that it was translated 11 units right and 1 unit up, and the rule is given by:
(x,y) -> (x + 11, y + 1).
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Find (f◦g)(x) and (g◦f)(x) for the pair of functions and give the domains. f(x)= 16 x2,
Need more information to solve, but the standard rule is:
(f◦g)(x) = f(g(x))
(g◦f)(x) = g(f(x))
5. What is the slope that runs through the points (-4, 10) and (-4, 3)?
To find the slope, we will use the formula;
slope = y₂ - y₁ / x₂- x₁
From the points give,
x₁ = -4 y₁= 10
x₂ = -4 y₂=3
slope = 3 - 10 / -4+ 4
slope = -7/0
slope = ∞
The slope is undefined.
Please answer ASAP for 100 points and brainliest if possible and if its correct
PLEASE!!!!!!!!!!!!!!!!
Answer:
59.40
Step-by-step explanation:
3+2x1/10+4x1/1000 in standard form
Answer:
3.204
Step-by-step explanation:
3 + 0.2 + 0.004
what is the slope of the line?
Answer:
slope :
[tex] \dfrac{y2 -y1}{x2 - x1} [/tex][tex] \dfrac{3 - 1}{0 - 1} [/tex][tex] \dfrac{2}{ - 1} [/tex][tex] - 2[/tex]Correct option - F
a ferry charges $40 for each car and $8.50 for each person in the car. Does this situation represent a function?
Yes, This situation represent a function.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The cost of each car = $40
The cost of each person = $8.50
Let the number of car = x
The number of persons in a car = z
Then, Total cost of car = $40x
Total cost of persons in car = $8.50z
So, Total cost (y) = $40x + $8.50z
Thus, The function for this situation is;
y = $40x $8.50z
Clearly, This is a linear function with three variable.
Thus, This situation represent a function.
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What are some similarities between sales tax and hotel tax? Select all that apply. Multiple select question. cross out A) Both are an additional amount one must pay. cross out B) Both must be paid in advance when you make a hotel reservation. cross out C) Both are based on a percentage of the original cost. cross out D) Both the sales tax and the hotel tax are equal when you stay in a hotel. cross out E) Both represent a guest fee that hotels charge their customers.
Some of the similarities between sales tax and hotel tax include the following:
B) Both must be paid in advance when you make a hotel reservation.
C) Both are based on a percentage of the original cost.
What is taxation?Taxation can be defined as the involuntary fees that are levied on individuals or business firms by the government of a particular country, so as to generate revenues that can be used to fund public projects, institutions and activities.
The types of tax.In Economics, there are different types of tax that are levied on individuals or business firms by the government and these include the following:
Hotel taxSales taxProperty taxIncome taxIn conclusion, we can reasonably infer and logically deduce that both sales tax and hotel tax must be paid in advance when making a hotel reservation in the United States of America.
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Factor-2x² + 10x.
O-2x(x + 5)
O 2x(-x + 5)
O2(-x² + 10x)
Ox(2x + 10)
Answer:
I believe it is B.
Step-by-step explanation:
When you solve B, you get the expression that you are supposed to factor.
The linear parent function, f(x) = x, transformed to g(x) = x+ 7. Whichstatement correctly compares the graphs of the functions?A. The graph of g(x) is less steep than the graph of f(x) and theyintercept has been shifted down.B. The graph of g(x) is steeper than the graph of f(x) and theyintercept has been shifted up.C. The graph of g(x) is less steep than the graph of f(x) and theyintercept has been shifted up.D. The graph of g(x) is steeper than the graph of f(x) and theyintercept has been shifted down.
The parent function given is
[tex]\begin{gathered} f(x)=x \\ \text{its has a slope of 1} \end{gathered}[/tex]The transformed function given is
[tex]\begin{gathered} g(x)=\frac{1}{2}x+7 \\ \text{which has a slope of 1/2} \end{gathered}[/tex]There is a reduction in the slope of the functions which makes the transformed function become less steep
The slope reduced from
[tex]1\text{ to 1/2}[/tex]There is also a change in the intercept from
[tex]0\text{ to +7}[/tex]And this indicates that the transformed function has been shifted up by 7 units
With the explanation above, we can therefore conclude that the statement which compares the two graphs of the function is
The graph of g(x) is less steep than the graph of f(x) and the intercept has been shifted up
Hence, The correct answer is OPTION C
You need 600 mL of a 20% alcohol solution. On hand, you have a 60% alcohol mixture. How much of the 60% alcohol mixture and pure water will you need to obtain the desired solution?
Answer: there 3,000 total milliliters accourding to my calculation
there for your looking for 60% so your answer should be 1800 since 60% of 3,000 is 1800
1800 ML = 60%
Step-by-step explanation:
the math is above
Missed the class now lost
substitute the given values in the formula of (BAC) we have
[tex]48\cdot3.2\colon160-3\cdot0.015[/tex]Remember
Applying PEMDAS
P ----> Parentheses first
E -----> Exponents (Powers and Square Roots, etc.)
MD ----> Multiplication and Division (left-to-right)
AS ----> Addition and Subtraction (left-to-right)
so
step 1
solve the multiplication
48*3.2=153.6
substitute
[tex]153.6\colon160-3\cdot0.015[/tex]step 2
Solve the division
153.6/160=0.96
substitute
[tex]0.96-3\cdot0.015[/tex]step 3
solve the multiplication
3*0.015=0.045
substitute
[tex]0.96-0.045[/tex]step 4
solve the subtraction
0.96-0.045=0.915
Find the median 6, 13, 15, 9, 6, 11, 14
The median of a set of numbers is the number that appears in the middle after arranging the set of numbers in ascending or descending order
Step 1:Arrange the given values in ascending order.
Step 2. Find the number of observations in the given set of data. It is denoted by n.
Step 3. If n is odd, the median equals the [(n+1)/2]th observation.
The set of numbers given in the question are
[tex]6,13,15,9,6,11,14[/tex]By rearranging the numbers in ascending order, we will have
[tex]6,6,9,11,13,14,15[/tex]The numbers are 7 in number that is
[tex]N=7[/tex]Since the value of N is an odd number, then the median will be calculated using the formula below
[tex]\begin{gathered} \text{Median}=\frac{(n+1)}{2}th \\ \text{Median}=\frac{7+1}{2}th\text{ number} \\ \text{Median}=\frac{8}{2}th\text{ number} \\ \operatorname{median}=4th\text{ number} \end{gathered}[/tex]The 4th number after arranging the set of numbers is
[tex]=11[/tex]Hence,
The median of the set of numbers in the question = 11
Please help me solve this giving 20 points
Answer:
5005
Step-by-step explanation:
This seems to me like a permutations and combinations question.
Since the order doesn't matter, it's a combination.
15 c 6 = 5005
I hope this helps!
the squares for each quadratic, list the center and rais, labeling its translated center: (a) x2 + 2x + y2 - 4y = 4 (c) 2x2 + 2y2 + 3x - 5y = 2 (e) x2 + y2 + 3x = 4 (g) x2 + y2 + 4x = 0 (i) x2 + y2 + 2mx - 2ny = 0 (b) 32-95.0 (d) * - 25.- (1) Akh + 47 - 165 (h) 2 + y - 7y=0 (j) 32 + y2 - 203. 2. Determine which of the following equations represents a circle with (a) x2 + y2 + 10x = -30 (b) 3x2 + 3y2 (c) 4x2 + 4y2 + 18x - 8y = -85 (d) 36x2 + 36
Determine which of the following equations represents a circle with a real non-zero radius:
a) First equation:
[tex]x^2+y^2+10x=-30[/tex]We need to complete squares, i.e., make the equation look like a sum of squared binomials. Separating x's and y's:
ANSWER FAST PLS
Write and solve an equation that represents the following math sentence. Twenty-four equals the sum of 10.5 and the quotient of a number and 4.5. 24 = 10.5 + 4.5m; m = 60.75 24 = 10.5 + 4.5m; m = 3 24 equals 10.5 plus m over 4.5; m = 3 24 equals 10.5 plus m over 4.5; m = 60.75
Answer: I believe the answer is C
Step-by-step explanation: forgive me if im wrong im not completely sure
GIVING BRAINLIEST + 60 POINTS!
Solve for x: 1 < x + 3 < 4
A. 4 > x > 7
B. 4 < x < 7
C. −2 > x > 1
D. −2 < x < 1
Please explain why you have gotten the right answer!
Answer:
it's greater than one so it's value is not negative
and 3+4 is 7
so x is greater then 4 but less than 7
so it's b the correct option
Answer:
D. -2 < x < 1
Step-by-step explanation:
1 < x + 3 < 4
=
{1 < x + 3
{x + 3 < 4
=
{ 1 + ( -3 ) < ( x + 3 ) + ( -3 )
{ ( x + 3 ) + ( -3 ) < 4 + ( -3 )
=
{ 1 - 3 < x + 3 - 3
{ x + 3 - 3 < 4 - 3
=
{ -2 < x
{ x < 1
=
{ x > - 2
{ x < 1
Hence, the answer would be : -2 < x < 1
Hopes this helps!
Have a good day :)
At a speed of 7.2 km per 2 hours how far can you drive for 7 hours
A. 357
B.358.50
C.359
Answer:
Step-by-step explanation:
divide 7.2 by 2 so you have an hourly rate. Then you have 3.6, multiply that by 7 to get 25.2. Assuming its not in km cause that wouldn't make sense you would just have to convert it into whichever unit it would take
what is the y-intercept of the graph of y= 4.4 (0.34) x?
The y-intercept of the given graph would be (0, 0).
________________________________________
Hope this helps!
7 Describe the error in solving the equation
(1) 3 (X + 4) = 13
(2) 3x + 4 =13
(3) 3 x = 9
(14)X = 3
Answer:
(2) The 3 was not distributed correctly.
3(x + 4) is the same as 3(x) + 3(4) Which is 3x + 12 not 3x + 4
Step-by-step explanation:
Answer: The error was at the first step since 4 was never multiplied by 3, therefore the final answer would be incorrect.
Step-by-step explanation: 3(x + 4) = 13
multiply 3 by everything in the parenthesis, so
3x + 12 = 13
subtract 12 from each side.
3x = 1
divide both sides by 3
x = 1/3 = 0.33
Hello I need help please
To graph the function using a table of values. The function is:
[tex]f(x)=\sqrt[]{x}[/tex]Since the root is even, because it is a square root, there is no Real values for
[tex]x<0[/tex]This already indicates that the probable correct alternative is C, however let's make the table to make sure.
The best way is to get x values that will easily get was f(x) values. Let's pick x = 0, x = 1 and x = 4:
[tex]\begin{gathered} f(0)=\sqrt[]{0}=0 \\ f(1)=\sqrt[]{1}=1 \\ f(4)=\sqrt[]{4}=2 \end{gathered}[/tex]So, the points (0,0), (1,1) and (4,2) should be in the line. This exclude alternatives A, B and D. In C we can see these points:
So, the graph of the given function is the one showed in option C
A local restaurant serves breakfast. They use 124 cups of pancake mix every hour. It takes 114 cups of mix to make one pancake. The pancakes are all equal in size.
About how many pancakes can the restaurant make in two hours?
A:99 pancakes
B:198 pancakes
C:251 pancakes
D:310 pancakes
Answer: B
Step-by-step explanation: I just did this on my test like 30 seconds ago
Answer:b
Step-by-step explanation:
I looked it up SPEED GANG FOR LIFE
Compare. Select >, <, or = to make the sentence true.
8 meters 6,000 millimeters
Answer: 8,0000 meters
Step-by-step explanation: if im wrong let me know and i will fix it
Answer: your answer is the alligator facing the left/8 meters is more
Step-by-step explanation:
the reason for this is because 1 meter is 1,000 millimeters so if you have 8 meters, then you obviously 8,000 millimeters
hope this helps :)
please give brainliest if possible
isabella bought tickets for 84 people. each ticket cost $16.22. how much did isabella spend on tickets
The total money Isabella spent on tickets will be $1362.48
In the given question, it is stated that Isabella bought a total of 84 Tickets. Each of the tickets she bought cost $16.22. We have to find out the total amount that she spent on buying tickets for everyone. From this given situation we know:
The cost of one ticket: $16.22
Total number of tickets: 84
From this formula, we can calculate the total amount spent
Total Amount = Total ticket * cost of one ticket
Putting values in this formula, we get:
=> Amount = cost*number
=> Amount = 16.22*84
=> Amount = 1362.48
Hence, the Total amount that she spent on Tickets will be $1362.48
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Peter enrolled $80,000 worth of debt with National Debt Relief. Peter’s fee for the service is 20% of the enrolled debt. How much is Peter’s fee?*
Answer:
16000
Step-by-step explanation:
in a sale normal prices are reduced by 10% Nathaniel bought a pair of shoes in the sale for £54
what was the original price of the shoes?
Answer:
$59.40
Step-by-step explanation:
54*0.10 (10%) = 5.4
5.4+54= 59.4
therefore, the price of the shoes without the discount is $59.40
Answer:
[tex]x=540[/tex]
What are Percentages?Percents are a ratio of a number and 100. So they are easier to compare than fractions, as they always have the same denominator, 100.
[tex]{\text}To find this.[/tex]
[tex]{\text}Right the formula:[/tex]
10% of x = £54
[tex]{\text}Indicating 10 percent of something is the sale given for the pair of shoes 54.[/tex]
[tex]{\text}Then calculate:[/tex]
[tex]\frac{10x}{100} =54[/tex]
[tex]{\text}Using crisscross multiplication:[/tex]
[tex]x=540[/tex]
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Determine g(x−1) for the following function. g(x)=−4x−1
The function operation g( x - 1 ) of the function g( x ) = −4x − 1 is -4x + 3.
What is the function operation g( x - 1 ) in the given function?A function is simply a relationship that maps one input to one output.
Given the data in the question;
g( x ) = −4x − 1g( x - 1 ) = ?To find g( x - 1 ), replace all the occurrence of x with ( x - 1 ) in the function and simplify.
g( x ) = −4x − 1
g( x - 1 ) = −4( x - 1 ) − 1
Simplify by distributive property
g( x - 1 ) = −4( x - 1 ) − 1
g( x - 1 ) = x( -4 ) - 1( -4 ) - 1
g( x - 1 ) = -4x + 4 - 1
g( x - 1 ) = -4x + 4 - 1
Add 4 and -1
g( x - 1 ) = -4x + 3
Therefore, the function operation g( x - 1 ) is -4x + 3.
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{(-3,-4), (-1,2), (0, 0), (-3,5), (2,4)}
Determine whether the relation represents a function.
O Yes, It is a function.
No, it is NOT a function.
Answer:
No, it's not function
Step-by-step explanation:
Every function is a relation but every relation is not a function because:
Function: a special type of relation in which the first-order pairs are different.
In this case {(-3,-4), ......., (-3,5)} these two sets have the same first-order pair.
So, your answer will be 'It's not function.'.