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.
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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
A probability experiment consists of rolling a fair 12-sided die. Find the probability of the event below. rolling a 5
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?
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
If p is a prime number, for how many values of p is p^2 +21p - 1 also prime?
Describe how to draw a line that passes through the origin and has a slope of 3/5
Order numbers least to greatest, -1.6, 5/2, -7/8, 0.9, -6/5
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 is NOT equivalent to 6/8? A.3/4 B.18/24 C.9/12 D.18/16
Solve for t.
q=r+rst
The equation q=r+rst can be rearranged to isolate t, with the final solution being t=(q-r)/rs.
Explanation:To solve for t in the equation q=r+rst, first, you need to isolate t on one side of the equation. You can do this by subtracting r from both sides so that you have q-r=rst. Next, divide both sides by rs, which gives you the final solution: t=(q-r)/rs.
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Consider this equation (csc x+1)/cot x = cot x/(csc x +1) is it an identity?
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?
For the data shown in the scatter plot, which is the best estimate of r? -0.95, -0.55, 0.55, 0.95
A normal probability/quantile plot is used to see if the distribution of a quantitative variable follows a __________ distribution.
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
Find the equation of a line perpendicular to another line
Final answer:
To find the equation of a line perpendicular to another, determine the slope of the original line and use the negative reciprocal of that slope for the perpendicular line. Choose a point on the perpendicular line, and apply the point-slope form to get the equation.
Explanation:
The process of finding a perpendicular line involves first understanding the slope of the given line. To find the equation of a line that is perpendicular to another, you need to identify the slope (m) of the original line and use the fact that the slopes of perpendicular lines are negative reciprocals of each other (meaning if the slope of the first line is m, the slope of the line perpendicular to it will be -1/m). In the context of vectors and analytical methods in physics, components can help describe forces or directions. If we consider the example of a skier on a slope, breaking down the weight force into components parallel and perpendicular to the slope helps analyze the motion. However, for strictly finding a perpendicular line in mathematics, we focus on the slopes of the lines. Suppose you have the equation of the original line. If it is in the format y = mx + b, where m is the slope and b is the y-intercept, you can find the slope of the perpendicular line by taking the negative reciprocal of m. If the slope is not readily apparent, you might need to rearrange the equation into this format. Once you have the slope of the perpendicular line, choose a point through which the line passes (this could be the original point or any particular point you're given). Then, use the point-slope form (y - y1) = m(x - x1) to write the equation of the line.
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
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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
Which method of the math object rounds a value to the next lowest integer??
10(2y+2)−y=2(8y−8). please help me
Sarah has a $2000 bond with a 5% coupon. How much interest will Sarah received for this bond every 6 months?
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
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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
What is the answer to this?
Factor the expression using the GCF. The expression 3y−24 factored using the GCF is
Decide which of the two points on the graph of the line
X=0
A. 0,7
B. -4,0
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.
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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.
how to graph the first derivative of this function