Answer:
x = 1.14
Step-by-step explanation:
3(2x - 1) + 7 = 6x - 3 - 2(-4x) [Given Equation]
6x - 3 + 7 = 6x - 3 + 8x [Distributive Property]
6x + 4 = 14x - 3 [Combine like-terms]
-8x + 4 = -3 [Subtraction Property of Equality]
-8x = -7 [Subtraction PoE]
x = 1.14 [Division PoE]
Given sinz = -4/5 for pi < z < (3pi)/2, find the value of cosz.
The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.
Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.
According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.
The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:
Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25
Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.
So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.
Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.
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There are 10 boys in Mr. Lee's class. If 40% of the class are boys, which is the total number of students in Mr. Lee's class?
Answer:
25
Step-by-step explanation:
2.5 =10%
2.5*4= 10
2.5*6=15
Answer:
25
Step-by-step explanation:
Using P=(%)w we can substitute the values. First, I will define the variables. P = part (is), % = percent, w = whole (of)
10 = (40%)w
The reason for this is because 10 is a PART and 40% is a PERCENT and we are solving for the unknown WHOLE. We now divide 10 by 0.40 because to convert a percent to a decimal you just move the point two places to the left:)
10 divided by 0.4 = 25. So, there is a total of 25 students in Mr. Lee's class. Now, we can check this by multiplying 25 and 0.4 to get 10! It is in fact correct.
PLEASE READ PRACTICE AND UNDERSTAND! DO NOT JUST TAKE THE ANSWER. KNOWLEDGE IS POWER :^)
The distance on a map between Lake Village and Bay Cove is 2 inches. If 1 inch represents 15 miles, what is the actual distance between Lake Village and Bay Cove?
Answer:
If 1 inch on the map represents 15 miles in reality, then 2 inches on the map represents 2 times 15 miles, or 30 miles in reality.
Therefore, the actual distance between Lake Village and Bay Cove is 30 miles.
Step-by-step explanation:
25-40x = x - 10
solve this radical equation
the 25-40x is supposed to be in a square root
In a study published in the July 4, 2007, issue of the Journal of the American Medical Association, researchers investigated whether small doses of dark chocolate can reduce blood pressure for people who suffer from mild cases of high blood pressure. They recruited 44 German adults who were otherwise healthy except for mild cases of high blood pressure. These subjects were randomly assigned to either a dark chocolate group or a white chocolate group, and all subjects were instructed to eat one square portion of a chocolate bar (containing about 30 calories) every day for 18 weeks. They were also instructed not to eat any other cocoa products. Each subject had his/her blood pressure recorded at the beginning and end of the study, with the reduction in blood pressure calculated. It turned out that those in the dark chocolate group had an average reduction of about 3 points in systolic blood pressure, compared to a 0 point reduction on average in the white chocolate group.
Identify the response variable in this study, and classify it as categorical or quantitative.
Answer:
Change in blood pressure ;
Quantitative
Step-by-step explanation:
The response variable also called the predicted variable is the measured variable whose out one depends or relies on the value of the independent or predictor variable. In the scenario above, the measured variable is the change in blood pressure which could be caused by consumption of a certain color of chocolate. The type of chocolate consumed by the subjects (dark or white) is the independent or predictor variable which is expected to effect a change in blood pressure (predicted or measured variable).
Blood pressure change is measured using devices which output numeric values signifying the blood pressure value. This numeric characteristics makes blood pressure change a quantitative variable
how many irrational numbers are there between 1 and 6 ? individual question 1 3 4 10 infinitely many
There are infinitely many irrational numbers between 1 and 6. This is because between any two distinct rational numbers, there is an infinite number of irrational numbers.
In the case of the interval between 1 and 6, there are infinitely many rational numbers between them, and therefore there must be infinitely many irrational numbers between them as well. This is due to the fact that the set of real numbers is uncountable, meaning that there is no finite or countably infinite list that contains all of its elements.
Thus, the answer is rather a statement about the infinite nature of the set of irrational numbers between 1 and 6.
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In centimeters, what is the circumference of a circle with a radius of 6cm?
Answer:
C = 37.68
Step-by-step explanation:
Circumference of a circle:
C = 2πr
C = 2(3.14)(6)
C = 6.28(6)
C = 37.68
A fair charges an admission fee of 3 dollars for each person. Let c be the cost of admission in dollars for p people wrote an equation relating c to p graph your answer
Answer:
c = 3p
graph is in the image attached
Step-by-step explanation:
what is the area of a triangle with the base of 24 and a height of 16?
Answer:
192 units^2
Step-by-step explanation:
The area equation for a triangle is base * height / 2.
In this case, it would be:
Area = 24 * 16 / 2
Area = 384 / 2
Area = 192 units^2
Select the correct answer. Solve the following equation. |x − 12| + 6 = 56 A. x = 62 or x = -38 B. x = 74 or x = -74 C. x = 38 or x = -62 D. x = 50 or x = -50
\(\mathbb{ANSWER:}\)
\(\sf |x-12|+6=56\)
\(\sf |x-12|+6-6=56 - 6\)
\(\sf |x-12|=50\)
\(\sf x-12=50 \ \ \ \ \ or \ \ \ \ \ x-12= -50\\ \sf x=\boxed{\sf 62} \ \ \ \ \ or \ \ \ \ \ x=\boxed{\sf -38}\)
∵ The answer is A. x = 62 or x = -38
ok now can u guys help me plz
Answer:
The 4 answer is yours
Step-by-step explanation:
-2x^3+2x
What is 8 3/5 graphed on a number line
PLZ I NEED HELP ASAP CUZ IM ON A TIMER!
Answer:
Step-by-step explanation:
8 3/5 on a number line is between 8 and nine
idk how to draw a number line on a computer so ill just tell you how
1. divided the spaces between 8 and 9 into 5 sections ( 3/5 )
2. then mark 3 of those 5 spaces and put a dot or a line at where the 3rd space ends
Hii please answer i would appreciate it thankssss
Answer:
Just some background:
Congruent means that a triangle has the same angle measures and side lengths of another triangle.
SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.
Let's look at A first.
The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.
Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.
Therefore both triangles are the same by Side-Angle-Side or SAS.
Now look at B.
It's a right triangle. We are missing 1 side of each triangle.
Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).
so 2^2 + b^2 = 4^2
4 + b^2 = 16
b^2 = 16-4
b^2 = 12
That missing side is the \(\sqrt{12}\).
This does NOT match the triangle on the left.
Theses two triangles are NOT congruent.
need help on this as soon as you can please
Answer:
x+5
Step-by-step explanation:
4x -3x= 1x or x
115-110= 5
x+5
WILL GIVE BRAINLIEST PLEASE HELP
Answer:
the 3 one is the correct answer
Step-by-step explanation:
Answer: RS and SU
Step-by-step explanation:
Skew lines are lines that don't have points connected and are not parrelel to each other.
The only lines that are both not parrelel and have unconnected points are the lines RS and SU
Assume gas cost $3.70 a gallon. Write an equation representing the total amount you need to spend on the car for the trip, after paying for a one time tune-up of $100.
The equation which can represent the total amount you need to spend on the car for the trip will be C = 3.70x
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Also an equation is a set of variables that are constrained through a situation or case.
Given that the 1 gallon is $3.70
x gallons = $3.70x
So, C = 3.70x
This will be the cost of x gallons
Hence "The equation which can represent the total amount you need to spend on the car for the trip will be C = 3.70x".
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someone help me pls
Help with this question pls?
Step-by-step explanation:
Hope this helps.
If you reflect in the y-axis, it would look like the following.
What is the equation of the line that passes through the point (-3,7) and has a
slope of -3?
Answer: y + 3x + 2 = 0
Step-by-step explanation:
The formula for that is
y - y₁
------- = -3 where x₁ = -3, y₁ = 7
x - x₁
Therefore cross multiply and solve
y - 7 = -3[( x - (-3)]
y - 7 = -3( x + 3 )
y - 7 = -3x - 9
y + 3x -7 + 9 = 0
y + 3x + 2 = 0
Answer:
y=-3x-2
Step-by-step explanation:
3) Angle A is vertical to angle K. If angle A is 78 degrees, what is angle K?
Express 82 kilometers per hour in miles per hour?
A common design requirement is that an environment must fit the range of people who fall between the 5thpercentile for women and the 95th percentile for men. In designing an assembly work table, the sitting knee height must be considered, which is the distance from the bottom of the feet to the top of the knee. Males have sitting knee heightsthat are normally distributed with a mean of 21.5 in. and a standard deviation of 1.3 in. Females have sitting knee heights that are normally distributed with a mean of 19.1 in. and a standard deviation of 1.2 in. Use this information to answer the following questions.What is the minimum table clearance required to satisfy the requirement of fitting 95% of men?
First, we need to find the z-value for a probability of 95%.
Looking at the z-table, for p = 0.95 we have z = 1.645.
Then, to find the table clearance, we can use the formula below:
\(z=\frac{x-\mu}{\sigma}\)Since the mean is equal to 21.5 inches and the standard deviation is equal to 1.3 inches, we have:
\(\begin{gathered} 1.645=\frac{x-21.5}{1.3} \\ x-21.5=1.645\cdot1.3 \\ x-21.5=2.14 \\ x=2.14+21.5 \\ x=23.64\text{ inches} \end{gathered}\)Rounding to one decimal place, we have x = 23.6 inches.
how do I find the answer to this question
please help this is my third time posting i’m literally desperate i will mark you brainliest it won’t let mechoose anymore than 10 points i’m sorry please
All of your answers are correct so far.
4. Line L is y=-2x-3. Line M is y=-2/3x+1
5. The solution is x=-3, y=3
6. Point P represents the answer to the equations.
8. Inequalities:
Line L: y>-2x-3
Line M: y<-2/3x+1
9. -3, 3
Find X. Circumscribed Angles
The value of of angle x of the circumscribing circle is x° = 140°
In the above question, the following figure is given, where
The angle inside the circle made by the intersection of two line segments is = 40°
We need to find the angle x made by the angle made by the tangents outside the circle
A line that touches a curve or a circle at one point is said to be tangent.
The point of tangency is the intersection of the tangent line and the curve.
We'll find the value of of angle x using the theorems of the circumscribing circle.
The sum of opposite angles of a circumscribing quadrilateral is always 180°
Using this property we can write,
40° + x° = 180°
x° = 180° - 40°
x° = 140°
Hence, the value of of angle x using the theorems of the circumscribing circle is x° = 140°
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Please find the Y for both of these equation
4x - y = 4
X-2y=-6
Answer:
1). y= -4+ 4x
2). y= 3+ x/2
Step-by-step explanation:
hope this helps !
i need help pls help me
Answer:
Brian sold 35 tickets.
Step-by-step explanation:
42 x 5/6 = 35
The figures below are similar with a scale factor of 3:2. Find the perimeter of figure B.
Answer:
Not 100% sure but I think it might be 28.8
If it is not this then it is 19.2
Step-by-step explanation:
Please let me know whether either of these are correct :)
ASAPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!
5,10,15,20,25 what is the common difference
Answer:
The common difference in the given sequence is 5.
Step-by-step explanation:
The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15