Final answer:
The value of r that makes the line through (5, 2) and (7, r) have a slope of -1/2 is 1.
Explanation:
To determine the value of r so that the line through the points (5, 2) and (7, r) has a slope of m= -1/2, we use the slope formula m = (y2 - y1) / (x2 - x1). Here, (x1, y1) is (5, 2) and (x2, y2) is (7, r).
Slope calculation:
-1/2 = (r - 2) / (7 - 5)
-1/2 = (r - 2) / 2
Multiplying both sides by 2 to isolate the variable r:
-1 = r - 2
r = 2 - 1
r = 1
Therefore, the value of r that makes the slope -1/2 is 1.
A probability experiment consists of rolling a fair 12-sided die. Find the probability of the event below. rolling a 5
What is the simplified value of the expression below?
A.4.8
B.19.2
C.22.1
D.57.6
Answer: Option C i.e. 22.1 is correct
Step-by-step explanation:
The given expression follows pemdas rule
PEMDAS:
P for Paranthesis
E for Exponents
M for Multiplication
D for division
A for Addition
S for Subtraction
Given :24 -12 /2 *3.2
= 24-12/2*3.2 [Multiplication]
= 24- 12/6.4 [Division]
=24-1.875 [Subtraction]
=22.125
So the answer is C. 22.1
If p is a prime number, for how many values of p is p^2 +21p - 1 also prime?
Decide which of the two points on the graph of the line
X=0
A. 0,7
B. -4,0
how to graph the first derivative of this function
What is the answer to this?
Omar makes 8 dollars for each hour of work. write an equation to represent his total pay p after working h hours.
Final answer:
The equation for Omar's total pay after working h hours at $8 per hour is p = 8h. This linear equation indicates a direct proportion between hours worked and total pay, reflecting a total of $64 for an 8-hour day.
Explanation:
The equation to represent Omar's total pay, p, after working h hours, at the rate of $8 per hour, is given by p = 8h. This linear equation shows that the total pay is directly proportional to the number of hours worked. Therefore, if Omar works for a standard 8-hour day, he would earn 8 hours times $8 per hour, which equals $64 for that day.
The point p(x, y) on the unit circle that corresponds to a real number t is given. find the values of the indicated trigonometric function at t.
Unit circle : a circle with radius of one. Unit circle is centered at the origin.
Use the formula cot x = base / perpendicular, where x is the angle. Substituting x,y and t to the formula, we get cot (t) = x / y.
To find the trigonometric function values for a point on the unit circle corresponding to a real number t involves using the x and y coordinates, which are derived from the cosine and sine functions at that angle t.
The student's question involves finding the values of trigonometric functions for a point p(x, y) on the unit circle that corresponds to a real number t. This typically involves understanding the relationship between the coordinates of a point on the unit circle and the trigonometric functions sin, cos, and tan. In this context, x(t) and y(t) are understood as the x and y coordinates of a point on the unit circle at a certain angle t. The point p(x, y) would be given by the cosine and sine functions: x(t) = cos(t) and y(t) = sin(t). In more advanced contexts, these functions can take different forms like x(t) = A cos(wt + p) where A, w, and p are constants. The solution to trigonometric equations may involve differential equations or complex numbers in such cases.
Both Pythagorean Theorem and trigonometric ratios are used with right triangles. Explain what information you need to apply to these different methods and include examples to show how to use each.
To apply the Pythagorean Theorem, you need the lengths of the two legs of a right triangle. Trigonometric ratios involve the angles and ratios of sides in a right triangle. Examples are provided for both methods.
Explanation:In order to apply the Pythagorean Theorem, you need the lengths of the two legs of a right triangle. The theorem states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. For example, if we have a triangle with legs of lengths 3 and 4, we can use the theorem to find the length of the hypotenuse. The square of the hypotenuse is 3^2 + 4^2 = 9 + 16 = 25, so the hypotenuse has a length of 5.
Trigonometric ratios, on the other hand, involve the angles of the right triangle and ratios of its sides. The three main trigonometric ratios are sine, cosine, and tangent. For example, if we have a right triangle with an angle of 30 degrees and one leg of length 5, we can use trigonometry to find the length of the other leg. The sine of the angle is given by the ratio of the opposite side (the leg we want to find) to the hypotenuse. So, sin(30 degrees) = opposite / hypotenuse = x / 5. Solving for x, we get x = 5 * sin(30 degrees) = 5 * 0.5 = 2.5.
Which number should replace the question mark in the number grid below?
PLEASE ANSWER
1. Simplify the following expression:
a + 2c − 5b − c + a − b
2a − 6b + 2c
2a − 6b + c
a − 6b + c
a − 5b + 2c
2. Evaluate the following expression using the values given:
Find 3x^2 − y^3 − y^3 − z if x = 3, y = −2, and z = −5.
Numerical Answers Expected!
Answer for Blank 1:
The expression is simplified as 2a − 6b + c. Then the correct option is B. The value of the expression 3x² - y³ - y³ - z will be 48.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The expression is given below.
⇒ a + 2c − 5b − c + a − b
Simplify the expression, then we have
⇒ 2a − 6b + c
Then the correct option is B.
The expression is given below.
⇒ 3x² - y³ - y³ - z
If x = 3, y = −2, and z = −5. Then the value of the expression will be
⇒ 3(3)² - (-2)³ - (-2)³ - (-5)
⇒ 3 x 9 + 8 + 8 + 5
⇒ 27 + 21
⇒ 48
The value of the expression 3x² - y³ - y³ - z will be 48.
More about the value of expression link is given below.
https://brainly.com/question/23671908
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Solve, kara's store experienced fixed costs of $200 and variable costs of $4 a shirt. write an equation that can be used to determine the total expenses encountered by kara's
The sales tax rate for a local county is 8.4%. If an item costs $391 (before tax), how much sales tax will be due?
Order numbers least to greatest, -1.6, 5/2, -7/8, 0.9, -6/5
Christa went shopping for back-to-school clothes. Before the tax was added on, her total was $176. If the sales tax is 6%, what was the total amount she paid?
Answer:
$176·1.06 = $186.56
Therefore, the total amount that Christa paid was $186.56.
Which is NOT equivalent to 6/8? A.3/4 B.18/24 C.9/12 D.18/16
Sarah has a $2000 bond with a 5% coupon. How much interest will Sarah received for this bond every 6 months?
Describe how to draw a line that passes through the origin and has a slope of 3/5
For the data shown in the scatter plot, which is the best estimate of r? -0.95, -0.55, 0.55, 0.95
Find the equation perpendicular to the line y=−3x+5 that passes through point (2, 6).
Hey there! :)
Perpendicular to y = -3x + 5 ; passes through (2, 6).
Our slope is -3. We know this because it is in the "m" position from slope-intercept form. However, since our equation we're looking for is perpendicular to our given one, we must find the negative reciprocal of -3.
A negative reciprocal is simply a number that is flipped and either given a negative or gets a negative removed.
So the negative reciprocal of -3 is 1/3. This means that our new slope is 1/3.
Now, using point-slope form ( y-y₁=m(x-x₁) ), our new slope (1/3) & (2, 6) , let's find our new equation!
y-y₁=m(x-x₁) y - (6) = 1/3(x - 2)
Simplify.
y - 6 = 1/3x - 2/3
~Hope I helped!~
Julia saw 5 times as many cars as trucks in a parking lot.if she saw 30 cars and trucks altogether in the parking lot,how many were trucks?
There were 6 trucks.
if you multiply 6 * 5 = 30.
Hopes this helps mark me as the Brainliest please.!!!!
:)
Factor the expression using the GCF. The expression 3y−24 factored using the GCF is
clothing store sells t-shirts and jeans. The store charges customers $15 per t-shirt and $35 per pair of jeans. The store pays $4.50 per t-shirt and $5.00 per pair of jeans, plus a flat fee of $150 per order. Complete the work to determine the expression that represents the store's profit if they sell t t-shirts and j pairs of jeans
Which method of the math object rounds a value to the next lowest integer??
Angle bisectors of the angles ∠A and ∠B of a triangle ∆ABC intersect each other at point M. Find m∠AMB, if m∠A = 58°, m∠B = 96°.
Answer:
103 degrees
Step-by-step explanation:
Bisectors means you make a line in the middle splitting the angle in half. So you divide A by 2 to get 29 and B to get 48. Then you add them to get 77. And now you only need point m's angle. 180-77 is 103 so the answer they are looking for is 103.
A store sells an item for $180. This is 12/7 of their wholesale cost for the item. How much does the store mark the item up?
Solve the inequality (show your work):
-5/2(3x + 4) < 6 - 3x
The value of the x is greater than negative of 32 over 9.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given as,
–5/2(3x + 4) < 6 – 3x
Simplifying the equation,
–5(3x + 4) < 2(6 – 3x)
5(3x + 4) > 2(3x – 6)
15x + 20 > 6x – 12
9x > –12 – 20
x > –32 / 9
More about the inequality link is given below.
https://brainly.com/question/19491153
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A normal probability/quantile plot is used to see if the distribution of a quantitative variable follows a __________ distribution.
A worker currently receives a yearly salary of $20,000.
a)Find the dollar values of a 3%, 4%, and 6% raise for this worker
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Because we are finding DOLLAR amounts, and not a total, we are simply going to do this:
Salary * (percent /100) = $Value
20,000 * 3% [or 0.03] = $600
20,000 * 4% [or 0.04] = $800
20,000 * 6% [or 0.06] = $1,200
Now to find his new salary if he were to get a raise, we will add the individual amounts to 20,000 is he were to only get a SINGLE percent raise increase...
If his salary (currently) is $20,000 and gets a 3% raise, his new salary is:
$20,600
If his salary (currently) is $20,000 and gets a 4% raise, his new salary is:
$20,800
If his salary (currently) is $20,000 and gets a 6% raise, his new salary is:
$21,200
If he were to get all THREE raises at the same time (per say) [or one after the other going off of a $20,000 salary], his new salary is:
$22,600
In 1995, 57.5% of students at gardiner university graduated in 4 or fewer years of study. in 2009, that number had fallen to 52.8%. what was the rate of change for percent of students graduating within 4 years from 1995 to 2009