Answer:
-5 is the y-intercept
Step-by-step explanation:
:))
Answer:
The answer is the -5.
If sin x = 1/4
and pi < x < 3pi/2 , find tan x exactly
Answer:
\( \sin(x) = \frac{1}{4} \\ { \sin }^{2} x = \frac{1}{16} \\ { \cos } x = \sqrt{1 - { \sin }^{2}x } \\ \cos(x) = \sqrt{1 - \frac{1}{16} } \\ \cos(x) = \sqrt{ \frac{15}{16} } \\ \tan(x) = \frac{ \sin(x) }{ \cos(x) } \\ \tan(x) = \frac{ \frac{1}{4} }{ \sqrt{ \frac{15}{16} } } \\ \tan(x) = 0.258\)
The exact value of tan x is,
⇒ tan x = - 1/√15
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
First, we can use the fact that sin x = 1/4 to find the value of cos x.
We know that;
sin²x + cos²x = 1,
cos²x = 1 - sin²x
cos²x = 1 - (1/4)²
cos²x = 1 - 1/16
cos x = ±√(15/16)
But since we know that x is in the third quadrant , we know that cos x is negative.
Therefore, we can take:
cos x = -√(15/1`6)
Now we can use the fact that;
tan x = sin x / cos x
tan x = sin x / cos x
tan x = (1/4) / (-√(15/16))
tan x = - (1/4) * (4/√15)
tan x = - 1/√15
So, the exact value of tan x is,
⇒ tan x = - 1/√15
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Find the value of x
4.0
5.8
X=
(Do not include the degree symbol in your answer. Round to the nearest degree as needed.)
The calculated value of x in the right triangle is 34.9 degrees
Calculating the value of xFrom the question, we have the following parameters that can be used in our computation:
The right triangle
The value of x can be calculated using
tan(x) = 4.0/5.8
Evaluate the quotient
So, we have
tan(x) = 0.6897
Take the arctan of both sides
So, we have
x = 34.9 degrees
Hence, the value of x is 34.9 degrees
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solve the equation: 4) 12
Ani2n 12)
417
Step 1: Use the distributive property
Step 2: Subtract n from both sides
63
41
Step 3: Simplify:
311
Step 4: Divide both sides by 3
301
3
Step 5: Simplify.
Check the solution to the example problem by replacing
z in the original equation with - 2 and evaluating both
sides. What true statement do you get?
to climinate the fraction in
Answer:
not clear enough
Step-by-step explanation:
What’s p + 18 = 18 ?? I just want to make sure my answer is right.
Answer:
p=18_18
p=0
check
0+18=18
what is the slope of y=-4x-8
Answer:
-4
Step-by-step explanation:
y = mx + b
Answer:
-4
Step-by-step explanation:
y=mx+b
m is slope
b is y-intercept
So you line y=mx+b and y=-4x-8
-4 is replacing m so -4 is the slope
Hope this helps!
A building supply company sells sand by the cubic foot and by the cubic yard. The price of one cubic year of sand is $33. 75. What do you think the price of one cubic foot of sand should be? Explain answer
The price of one cubic yard of sand is $33.75, then the price of one cubic foot of sand should be $1.25.
To determine the price of one cubic foot of sand, we need to convert cubic yards to cubic feet. One cubic yard is equal to 27 cubic feet (3 feet x 3 feet x 3 feet). Therefore, if the price of one cubic yard of sand is $33.75, then the price of one cubic foot of sand should be $33.75/27 = $1.25.
This makes sense because one cubic yard contains 27 cubic feet. So, if the price of one cubic yard is $33.75, then the price per cubic foot should be 1/27th of that price.
It is important to note that this assumes the price per unit of sand remains constant regardless of the quantity purchased. In reality, bulk purchases may result in a discounted price per unit. Additionally, factors such as transportation costs and demand may also affect the price of sand.
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Raul is mixing a cleaning spray. The instructions say to combine 2 parts vinegar and 1 part water. Raul wants to make 24 fl oz of the spray. How many fluid ounces of vinegar and how many fluid ounces of water should Raul use? Show your work
16 fl oz Vinegar
8 fl oz Water
Step-by-step explanation:The ratio of vinegar to water is 2:1, as you need 2 parts of vinegar for every 1 part of water.
Add these together to get 3, which is the proportion the ratio will be divided into.
Divide the total 24 fl oz by the group of 3, and you work out that each part of the ratio should be scaled up by 8.
Multiply each part of the ratio by 8 to get 8x2 : 8x1. The ratio of vinegar to water is now 16:8, so you need 16 fl oz of vinegar and 8 fl oz of water.
Answer:
16 fl oz vinegar, 8 fl oz water.
First, look at your ratio (2:1), and determine how many parts in total there would be. That, of course, is 3 (2 parts vinegar + 1 part water = 3 parts total). Then, divide the total 24 fl oz in the spray by this number to get the number of fl oz in each part of the bottle; with the equation, you should get 24 / 3 = 8 fl oz. Finally, multiply this two each part of the ratio: 2 parts x 8 fl oz = 16 fl oz of vinegar, 1 part x 8 fl oz = 8 oz of water.
Let P (3,6) be a point on a figure and let P be the corresponding point on the image. The figure is dilated by a scale factor of 3. What are the coordinates of p
When the figure is dilated by a scale factor of 3, the original coordinates of P are (1,2).
What is coordinates?A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space. The ordinate is the distance of a point from the x-axis scaled with the y-axis. Coordinates are the abscissa and ordinate combined. The study of algebraic equations on graphs is known as coordinate geometry. Plotting points, lines, and curves on an x and y axis is an example of coordinate geometry. Make corrections.
Here,
scale factor=3
dilated point=(3,6)
original coordinates=(3/3,6/3)
=(1,2)
The original coordinates of P are (1,2) when figure is dilated by a scale factor of 3.
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A line passes through the point (2, 3) and has a slope of 5.
Write an equation in slope-intercept form for this line.
Answer:
y=5x-7
Step-by-step explanation:
simplify - ( 3 z ) 2
Answer:
-6z
Step-by-step explanation:
Answer:
−6z is your answer
Step-by-step explanation:
file:///Users/shantanu/Desktop/Screen%20Shot%202021-01-29%20at%204.38.25%20PM
Please
Answer: I can’t open it sorry
Step-by-step explanation:
Answer:
Same here :(
P.S. : Can I get brainliest please?
brainlest if correct write an equation
Answer:
y = x - 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
m = \(\frac{0-(-2)}{2-0}\) = \(\frac{0+2}{2}\) = \(\frac{2}{2}\) = 1
the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = x - 2 ← equation of line
for which value(s) of x does f(x)=916x^3)/3−4x^2 +6x−13 have a tangent line of slope 5
Given function f(x) is as follows;f(x) = (916x³)/3 - 4x² + 6x - 13To find out the value of x for which the given function has a tangent line of slope 5, we need to use the concept of derivative. Since, the slope of the tangent line to the curve at a point on it is the value of the derivative at that point.
So, first we need to take the derivative of f(x). Differentiating the given function, we get;f'(x) = 916x² - 8x + 6Now, we need to find the value of x for which the slope of the tangent is equal to 5.We can form an equation by equating f'(x) to 5;916x² - 8x + 6 = 5Or, 916x² - 8x + 1 = 0.
We can solve the quadratic equation for x using quadratic formula Therefore, the value(s) of x for which f(x) has a tangent line of slope 5 is (52/1832) or (-58/1832).
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i need the answer of A , B , C , D
Q2: A garage uses a particular spare part at an average rate of 5 per week. Assuming that usage of this spare part follows a Poisson distribution, find the probability that (a) Exactly 5 are used in a
The probability of using 5 spare parts in a week is approximately 0.1755.
We know that Poisson probability mass function is given as:
P (X = x) = (e-λ λx) / x!, where x is the number of successes in the Poisson experiment, and λ is the average rate of successes per interval (or rate parameter).
a) Probability of using 5 spare parts in a week is given as:
P(X = 5)
= (e^(-5) * 5^5) / 5!
≈ 0.1755 (rounded to four decimal places)
a) The probability of using 5 spare parts in a week is approximately 0.1755.
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What are the 4 steps to solving inequalities?.
For solving the inequalities, there are more than four steps.
The step to solve given inequalities, the first step is to add the same number to both sides, the second step is to Subtract the same number from both sides and the third step is to Multiply both sides by the same positive number, and the fourth step is to Divide both sides by the same positive number, and the fifth step is to Multiply both sides by the same negative number and reverse the sign and the last step is to Divide both sides by the same negative number and reverse the sign. Out of which steps 2,3,4 and 5 are the most important steps.
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Of the total students at Martin Middle School, 224 students are picked up by their parent at dismissal. If this is 28% of the total number of students, how many students are at Martin Middle School altogether ?
Answer:
800
Step-by-step explanation:
28/100 =224/x
28x/28 = 22400/28
1. Luzcel real estate owns 8000 square meters of lot area and decides to construct two different styles of houses, B and C. The lot area of house B is 250 sq. m. and house C lot area is 200 sq. m. The construction engineer has a maximum of 6400 man-hours of labor for the construction. Let your variables be the number of units of house B and the number of units of house C to be constructed. a) Write an inequality which states that there are 8000 sq. m. of land available. b) A unit of house B requires 160 man-hour and a unit of house C requires 256 man-hour. Write an inequality that the engineer has at most 6400 man-hour available for construction. c) If material cost 600 thousand pesos for a unit of house B and 800 thousand for a unit of house C, write an inequality stating that the engineer has at least 12 million pesos to spend for materials. d) Labor cost 1.1 million pesos for constructing a unit of house B and 1.3 million pesos for constructing a unit of house C. If a unit of house B sells for 3.5 million and a unit of house C selis for 4 million, how many units of house B and house C should be constructed to obtain the maximum profit? Show the graph.
Inequality stating that there are 8000 sq. m. of land available: Let B be the number of units of house B and C be the number of units of house C.
Therefore,B+C ≤ 8000/200 [Reason: House C requires 200 sq. m. of land]⇒B+C ≤ 40b. Inequality that the engineer has at most 6400 man-hour available for construction:
160B + 256C ≤ 6400c
Inequality stating that the engineer has at least 12 million pesos to spend for materials:
600B + 800C ≤ 12000d
. Let us write down a table to calculate the cost, income and profit as follows:Units of house BLabor Hours per unit of house BUnits of house CLabor Hours per unit of house CTotal Labor HoursMaterial Cost per unit of house BMaterial Cost per unit of house CTotal Material CostIncome per unit of house BIncome per unit of house C
Total IncomeTotal ProfitBC=8000/200-B160CB+256C600000800000+256C12,000,0003,500,0004,000,0003,500,000B+C ≤ 40 160B + 256C ≤ 6400 600B + 800C ≤ 12000 Units of house B requires 160 man-hour and a unit of house C requires 256 man-hour.
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The formula to find the volume of a sphere is V=3.14r^3 where r is the
radius of the sphere. What is the formula in terms of r?
PLEASE HELP!
divide by 3.14 on both sides first.
V/3.14 = r^3
Now cube root both sides.
3√(V/3.14) = r
r = 3√(V/3.14)
r is the cube root of v/3.14.
Name one pair of complementary angles. (1 point)
16. Name one pair of supplementary angles. (1 point)
17. Draw an angle that measures 95° and label it BAD. (2 points)
Use this diagram for questions 18 ‐ 23. (1 point each)
**The lines are PARALLEL**
18. Identify a pair of corresponding angles.
19. Identify a pair of alternate interior angles.
20. Identify a pair of alternate exterior angles.
21. Identify a pair of vertical angles.
22. If the measure of angle 2 is 35°, what is the measure of angle 6? 23. If the measure of angle 2 is 35°, what is the measure of angle 8?
Answer:
angle 7 and 8 are supplementry angle 7 and 6 are complementry. ANgle 2 and 7 are alternite exterior angles, andle 4 and 5 are alternite interior angles angles 1 and 4 are vertical angle 6 is 35. angle 8 is 135
Step-by-step explanation:
What’s the missing factor?
Answer:
\((a+1)\)
Step-by-step explanation:
\(5a^2+12a+7\)
\(5a^2+5a+7a+7\)
\(5a(a+1)+7(a+1)\)
\(=(5a+7)(a+1)\)
I need this answer b/6=3
The answer is b=18. To solve, multiply 6 by 3 to get 18. This is called doing the inverse operation. Since the equation is a division equation, we would have to multiply in order to find the missing variable.
A club logo is made from a square and a trapezium.
Calculate the area of the logo.
4cm
2cm
8cm
Answer:
hi im from another country see ya ... your country is amazing
Step-by-step explanation:
is honors math easy?
Answer:
NO
Step-by-step explanation:
Answer:
Actually it is. Think of it as a standard math. It is not at all hard. AP MAth is very hard because it's a ton of stuff and a whole bunch of maybe even college assignments. I would know because i was one in honors but now in AP. Trust me when i ay that i fool around in clas and still get an A.
Step-by-step explanation:
which of the following measure variability? circle all that apply. a) mean b) iqr c) standard deviation d) range e) median f) adm g) the correlation coefficient
Answer:
Step-by-step explanation:
D
find the constant of proportionality on this graph
PLEASE HELP GIVING BRAINLIEST :))
Answer:
I think the constraint of proportionality is 25 because each dot it increases buy 25.
I also believe that at 10 the total should be at 225.
What is the slope of the graph of y = 12x - 197
Answer:
Slope = 12Step-by-step explanation:
Since the equation above is a linear graph
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question the equation is
y = 12x - 197
Comparing the equation with the general equation above
Slope / m = 12Hope this helps you
the most recent earthquake in texas reached a magnitude of 3.3 on the richter scale. determine the seismograph reading of the earthquake. using M(I)=log (I/.001)
The seismograph reading of the earthquake is approximately 1.99526.To determine the seismograph reading of the earthquake with a magnitude of 3.3 on the Richter scale, we can use the formula M(I) = log(I/0.001), where M(I) represents the magnitude and I represents the intensity of the earthquake.
In this case, we are given the magnitude of 3.3. Let's substitute this value into the formula and solve for I:
3.3 = log(I/0.001)
To isolate I, we need to convert the equation into exponential form:
10^(3.3) = I/0.001
Simplifying the equation, we have:
I = 10^(3.3) * 0.001
Using a calculator, we find that 10^(3.3) is approximately 1995.26.
So, the seismograph reading of the earthquake is:
I = 1995.26 * 0.001
≈ 1.99526.
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what is 4/15 rounded to the neerset hundreth?
(i feel dumb for asking lol)
Answer:
First, we convert the fraction to a decimal number by dividing the numerator by the denominator:
4 / 15 = 0.266
There are two parts to the decimal number above:
Integer Part: 0
Fractional Part: 266
Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.
In this case, Rule II applies, so 4/15 (or 0.266) rounded to the nearest hundredth in decimal format is:
0.27
Step-by-step explanation:
Answer:
0.266
Step-by-step explanation:
i looked it up on google for you it was np
The ratio of a to b is 4/7. If a is 16, find the value of b.
Answer:
B=28
Step-by-step explanation:
The value of x and y vary directly and one pair of values are given write and equation that relates x and y simplify completely
X=0.1 y=0.9
Answer:
2.48
Step-by-step explanation:
PLEASE MARK AS BRANILST AND LIKE
Answer:
Step-by-step explanation:
How we come up with the equation is first off by plugging in x and why which looks like this:
0.9=x(0.1)
Then we do 0.9 divided by 0.1 which gives us an answer of 9
hopefully, that helps :)