After 2.5 hours cars be 237.5 miles apart.
What is distance?
The measurement of distance between two objects or points can be quantitative or occasionally qualitative. Distance in physics or common usage can refer to a physical length or an estimation based on other factors.
First to write equation for each car
\(d_1=r_1t_1 (east bound)\\d_2 = r_2t_2 (west bound)\)
They both start at the same time, and I will stop them both when they are 165 mi apart.
So, \(t_1=t_2\) call just t.
⇒
\(d_1 = r_1t\\d_2=r_2t\)
\(t = \frac{d_1}{r_1} \\t= \frac{d_2}{r_2}\)
⇒
\(\frac{d_1}{r_1} = \frac{d_2}{r_2} \\d_1r_2 = d_2r_1\) ..(1)
We also know that
\(d_1 + d_2 = 237.5\)
\(d_2 = 237.5 - d_1\)
\(r_1 = 55, r_2 = 40\)
So, equation (1) becomes,
\(40d_1 = 55d_2\)
Plug the value of \(d_2\).
\(40d_1 = 55(237.5 - d_1)\\40d_1 = 13,062.5 - 55d_1\\40d_1 + 55d_1 = 13062.5\\95d_1 = 13062.5\\d_1 = 137.5\)
\(d_1 = 137.5 mi\)
Now,
\(t = \frac{d_1}{r_1} = \frac{137.5}{55} = 2.5\)
Hence, after 2.5 hours cars be 237.5 miles apart.
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Prove or disprove if the point is on the circle with the given information.
24. Point: (-3, -2)
Circle is centered at (1, -3) with a radius of 4
The information provided does not coincide to a circle
How to show the points are not on a circleEquation of a circle is given as
(x - h)² + (y - k)² = r²
Where
r = radius
h and k are coordinates of the center
x and y is the coordinate of point on the circumference
The radius of the circle which is distance between points (-3, -2) and (1, -3)
d = √[(x₂ - x₁)²+(y₂ - y₁)²]
= √[(-3 - 1)² + (-2 - (-3))²]
= √[(-4)² + 1²]
= √(17)
The radius of the circle is 4 Since √(17) is not 4
we will finish that the factor (-3, -2) is not at the circle centered at (1, -3) with a radius of 4
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Please help me step by step how to solve this quadratic equation 2a^2=-6+8a
The quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.
To solve the quadratic equation 2a^2 = -6 + 8a, we need to rearrange it into standard quadratic form, which is ax^2 + bx + c = 0, where a, b, and c are coefficients.
Step 1: Move all the terms to one side of the equation to set it equal to zero:
2a^2 - 8a + 6 = 0
Step 2: The equation is now in standard quadratic form, so we can apply the quadratic formula to find the solutions for 'a':
a = (-b ± √(b^2 - 4ac))/(2a)
Comparing with our equation, we have:
a = (-(-8) ± √((-8)^2 - 4(2)(6)))/(2(2))
Simplifying further:
a = (8 ± √(64 - 48))/(4)
a = (8 ± √16)/(4)
a = (8 ± 4)/(4)
Now, we can calculate the two possible solutions:
a1 = (8 + 4)/(4) = 12/4 = 3
a2 = (8 - 4)/(4) = 4/4 = 1
Therefore, the quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.
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In interval recording procedures, the behavior is recorded in consecutive periods of time within the observation period True False
The statement is false, the behavior is recorded in discrete intervals of time
Is the statement true or false?In interval recording procedures, the behavior is recorded in discrete intervals of time within the observation period rather than consecutive periods.
Interval recording involves dividing the observation period into equal time intervals and recording whether the behavior occurs or not during each interval.
This method provides an estimate of the occurrence of behavior during specific time segments rather than continuous monitoring of behavior throughout the entire observation period.
So the statement is false.
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8 × 1 + 9 ×(110) + 6 × (1100) + 2 × (11,000)
Answer:
29598
Step-by-step explanation:
8+990+6600+22000
( alternative answer 2.9598x10 to the power of 4)
Answer:
29,598
Step-by-step explanation:
8x1+990+6600+22000
998+2200+6600
=29,598
50 POINTS ILL GIVE BRAINLIEST
The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable.
Is the relation a function? Explain.
No, because for each input there is not exactly one output
No, because for each output there is not exactly one input
Yes, because for each input there is exactly one output
Yes, because for each output there is exactly one input
Answer:
no, because for each input, there is not exactly one output.
Step-by-step explanation:
the relation is not a function because the input 0 has multiple outputs (1-to-many means that the relation is not a function).
Help me in these equation9^2 + b^2 = 15.81^2
ANSWER
b = 13
EXPLANATION
We want to solve the equation:
\(9^2+b^2=15.81^2\)To do this, simplify the equation:
\(81+b^2=249.96\)Isolate b:
\(\begin{gathered} b^2=249.96-81 \\ b^2=168.96 \\ Find\text{ the square root of boths side:} \\ b=\sqrt[]{168.96} \\ b=13 \end{gathered}\)That is the answer.
help pleaseee this is due tomorrow
Answer:
4.67
Step-by-step explanation:
Please help asap :( This is my "Final grade" My Teacher wants a full explanation included ! on how i got the answer. )
A toy shop is manufacturing hollow plastic spheres. The outside diameter of the sphere is 6 inches and the thickness of material is 1 inch. The spheres are packaged in boxes of 8, and the density of the material is 3.25 g/in3. What is the weight of the box to the nearest gram?
If the whole diameter of sphere is 6 inch(means radius is 3 inch) & thickness of material is 1 inch, so the radius of the hollow part should be 2 inch (3-1=2)
The total volume of the ball will be;
= Total volume - Volume of hollow part
= 4/3πr³ - 4/3πr³
= 4/3 × 3.14 × (3)³ - 4/3×3.14×(2)³
= 4 × 3.14 × 9 - 4/3 × 3.14 × 8
= 113.04 - 33.52
= 79.52
If the density of the material is 3.25 g/in3, then the density of 79.52 inch³ should be;
= 79.52 × 3.25
= 258.44 g
Now, if there are 8 spheres in one box, the weight if box will be;
= 258.44 × 8
= 2,067.52 g
_____________________________
Ahh! Finally done with this, if you have any doubt just do ask me :)
Suppose that f(1) = 1, f(4) = 5, f '(1) = 3, f '(4) = 3, and f '' is continuous. find the value of 4 1 xf ''(x) dx.
Answer: b
Step-by-step explanation:
I think
plssss help on this ;((((((((((
Answer:
3/4
Step-by-step explanation:
i always hated ixl
Answer:
12/36
Step-by-step explanation:
I think you have to ccount from twelve to 32 and how ever many numbers are in between that is the denominator and the count from 24 to 32 and how ever many numbers are in between that is your numerator I may be wrong double check just to be sure
A radio labeling Rs. 1000 is sold at Rs. 990 by levying VAT after allowing certain discount. If the rate of discount so allowed is equal to the rate of VAT so levied on it, find the rate of discount.
Answer:
Step-by-step explanation:
Let's assume that the rate of discount is x%, and the rate of VAT is also x%.
According to the problem, the radio is sold at Rs. 990 after allowing a discount. So, the selling price of the radio after the discount is:
Selling price = Rs. 1000 - x% of Rs. 1000
Selling price = Rs. 1000 - (x/100) * Rs. 1000
Selling price = Rs. 1000(1 - x/100)
Selling price = Rs. 10 * (100 - x)
Now, VAT is levied on this selling price at the rate of x%. So, the final selling price after VAT is:
Final selling price = Selling price + VAT
Final selling price = Rs. [10 * (100 - x)] + x% of [10 * (100 - x)]
Final selling price = Rs. [10 * (100 - x)] + (x/100) * [10 * (100 - x)]
Final selling price = Rs. [10 * (100 - x)][1 + x/100]
Final selling price = Rs. 990
Substituting the value of Rs. 990, we get:
Rs. 990 = [10 * (100 - x)][1 + x/100]
99 = (100 - x)(1 + x/100)
99 = 100 - x + x - x^2/100
x^2/100 = 1
x^2 = 100
x = ±10
Since the discount cannot be negative, the rate of discount is 10%. Therefore, the rate of VAT is also 10%.
So, the radio was sold at Rs. 1000 - 10% of Rs. 1000 = Rs. 900 after allowing a discount of 10%, and VAT of 10% was levied on this selling price, which makes the final selling price Rs. 990.
Karissa begins to solve the equation StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis.. Her work is correct and is shown below.
Three lines of math. The first line, StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis. The second line, StartFraction one-half EndFraction x minus 7 plus 11 equals StartFraction one-half EndFraction x minus x plus 4. The third line StartFraction one-half EndFraction x plus 4 equals negative StartFraction one-half EndFraction x plus 4.
StartFraction one-half EndFraction x minus 7 plus 11 equals StartFraction one-half Endfraction x minus x plus 4.
StartFraction one-half EndFraction x plus 4 equals negative StartFraction one-half Endfraction x plus 4.
Karissa correctly solved the equation \(\frac{1}{2} \left(x - 14\right) + 11 = \frac{1}{2} \left(x - \left(x - 4\right)\right)\) to get the answer x = -4, combine the two fractions, and then rearrange the equation.
What is Equation?An phrase that declares the equality of two things is called an equation. The equals sign (=) is commonly used to separate two expressions in writing. Equations are a common tool in mathematics for describing and visualising relationships between two or more variables. Equations are used to find unknown values and solve problems.
By combining the two different fractions on the left side, Karissa starts to answer the equation. She begins with the maths.
\(\begin{equation}\frac{1}{2} \left(x - 14\right) + 11 = \frac{1}{2} \left(x - \left(x - 4\right)\right).\end{equation}\)
The equation becomes simpler to by adding the two fractions together.
\(\begin{equation}\frac{1}{2} x - \frac{7}{2} + 11 = \frac{1}{2} x - \frac{1}{2} x + 2.\end{equation}\)
The equation is then made simpler by Karissa by removing 11 from both sides of the left side and 2 from both sides of the right side.
\(\begin{equation}\frac{1}{2} x - \frac{7}{2} = -\frac{1}{2} x + 4.\end{equation}\)
Karissa completes the equation's solution by adding frac12x to both sides, resulting in
\(\begin{equation}\frac{1}{2} x + \frac{4}{2} = -\frac{1}{2} x + 4.\end{equation}\)
By subtracting \(\frac{4}{2}\) Karissa determines that x = -4 is the answer from both sides.
Karissa concluded by appropriately resolving the equation
\(\frac{1}{2} \left(x - 14\right) + 11 = \frac{1}{2} \left(x - \left(x - 4\right)\right)\) to get the answer x = -4, combine the two fractions, and then rearrange the equation.
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George bought socks for "$"300 and planned to sell them for $6 a pair. write an inequality to find the minimum number of socks he has to sell in order to make a profit of more than 210.
The inequality 6s - 300 > 210 represents the minimum number of socks (s) when George bought socks for "$"300 and planned to sell them for $6 a pair, and want to make a profit of more than 210.
In the question, we are given that George bought socks for $300.
Therefore, George's total cost = $300.
We assume the number of pairs of socks George sells to be s.
The unit price per pair quoted by George = $6
Therefore, George's total sales = $6s.
We know that the profit over a transaction is given as the difference between sales and costs, that is,
The profit = The total sales - the total costs,
or, profit = 6s - 300.
In the question, we are required to make a profit of more than 210.
This can be shown by the inequality,
6s - 300 > 210.
Thus, the inequality 6s - 300 > 210 represents the minimum number of socks (s) when George bought socks for "$"300 and planned to sell them for $6 a pair, and want to make a profit of more than 210.
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Which equation represents the line that passes through points B and C on the graph?
Answer:
y= -2x-6
Step-by-step explanation:
Answer:
y = -2x - 6
Step-by-step explanation:
Took the quiz on Edge. Have an amazing day! ^w^
What is -8u+6+8u simplified?
Answer:
6
Step-by-step explanation:
Combine like terms:
8u-8u=0
0+6=6
Hope this helps!
Which of the following best describes ethics?
it is a set of thoughts that are made about kinds of individuals
or their manners of conducting activities
it is a set of values that define r
Answer:
the second
Step-by-step explanation:
refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice
What is the slope of the line containing the points (-1, -2) and (3, -5)? A. B. C. D.
Answer:
-7/4
Step-by-step explanation:
(-1,2) (3,-5)
x1 y1 x2 y2
-5-2=-7
3-(-1)=4
-7/4
Which is the best estimate of (-3/5)(17 5/6)
O-18
O-9
O9
O 18
Answer:
0-18 44444444444444444444
1. how long is the hall which has a perimeter if 3480 cm and 300cm wide?
2. joe walks across the rotonda and travels 400meters, how many more meters will a car travel around it than the distance the pedestrian walk?
3.father will fence the rectangular yard with a length of 120m and a width of 100m,
how many meters of wire will her use for the fence?
Answer:
(3480 - 600)/2 = 1440cm
Step-by-step explanation:
find the slope and y intercept of the line.y= -3/4x+1
Explanation
we can easily solve this by checking the equation
\(y=-\frac{3}{4}x+1\)It is writen in slope- y intercept fom
\(\begin{gathered} y=mx+b \\ \text{where m is the slope} \\ \text{and b is the y-intercept} \end{gathered}\)hence
\(\begin{gathered} y=-\frac{3}{4}x+1\Rightarrow y=mx+b \\ \text{ therefore} \\ m=\text{slope}=-\frac{3}{4} \\ b=y-\text{Intercept}=1 \end{gathered}\)I hope this helps you
Simplify the expressions
(24m^-2n)(1/4mn)
Answer:
6n^2/m
Step-by-step explanation:
Use the rules of exponents to simplify the expression.
24^1m^ −2 n^1 ×( 4/1 )^1m^1n^1
Use the Commutative Property of Multiplication.
24^1 ×( 4/1 ) ^1 m −2m ^1n ^1n^1
To multiply powers of the same base, add their exponents.
24^1 ×(4/1 )^1m^−2+1 n^1+1
Add the exponents −2 and 1.
24^1×(4/1)^1 × ( m^1)n^1+1
Add the exponents 1 and 1.
24^1 ×(4/1)^1 × (m/1)n^2
Multiply 24 times 4/1.
6×(m^1)n^2
Answer.
6n^2/m
The two angles are congruent. Find x
3/4√5-√3 + 2/4√5+√3 =b√3+a√5 find the value of b and a
Answer:
a = 5 / 4
b = 0
Step-by-step explanation:
3/4√5 - √3 + 2/4√5 + √3 = b√3 + a√5
3/4√5 + 2/4√5 + √3 - √3 = b√3 + a√5
5/4√5 + 0 = b√3 + a√5
0 + 5/4√5 = b√3 + a√5
b√3 = 0
b = 0 / √3
b = 0
a√5 = 5/4√5
a = 5/4√5 / √5
a = 5 / 4
(6m^5 g^5)^2 simplify
Answer:
quanda dude try mo
Step-by-step explanation:
or guthmat
Select the correct answer from each drop-down menu. triangle abc is represented. points d and f are marked on side ab and points e and g are marked on side ac. segments de and fg are drawn. if , then line segment is parallel to line segment .
If points d and f are on side ab and points e and g are on side ac then line segments de and fg are parallel
What are parallel lines?
Parallel lines are those lines that do not meet at any point. If we draw a triangle ABC and plot points d and f are marked on side ab and points e and g are marked on side ac then the line segment fg is parallel to de because both the line segments are drawn from the points which are on the sides opposite to each other. We have assumed a simple triangle because no description is given for the triangle
Hence the line segment fg is parallel to de if drawn points d and f marked on ab and points e and g are marked on ac.
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Help? im confused plss!
Find the area of the regular polygon with the given radius or apothem
Answer:
50 cm²
Step-by-step explanation:
Given that the regular polygon is a square, there are multiple ways you can jump directly to the answer. Perhaps the simplest is to use the formula for the area of a rhombus:
A = 1/2(d1)(d2)
where d1 and d2 are the lengths of the diagonals. Here, we see that half the diagonal is 5 cm, so the area is ...
A = (1/2)(10 cm)(10 cm) = 50 cm² . . . . area of the polygon
__
Alternate solution
If you want to use the radius and the number of sides in a formula, you can consider the area of each triangle formed by radii and a side. That triangle has area ...
A = 1/2r²sin(α)
where r is the radius and α is the central angle. For an n-sided polygon, the area is the sum of n of these triangles, and the central angle is 360°/n. Then the polygon area is ...
A = n/2·r²·sin(360°/n)
For n = 4 and r = 5 cm, the area is ...
A = (4/2)(5 cm)²(sin(360°/4)) = 2(5 cm)²(1) = 50 cm² . . . . area of square
_____
Additional comment
The formula is somewhat different if you start with the length of the apothem. One way to find the area is using the above formula and the relation between the radius and apothem:
r = a·sec(180°/n)
Another formula uses the apothem directly:
A = n·a²·tan(180°/n)
Why are Trig ratios only for right triangles?
For Trigonometric functions to work we need a hypotenuse, which we can only get in right triangles.
What are Trigonometric functions?
The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.
Here,
We have to find out why trigonometric ratios are used only for right triangles.
We concluded that when we are dealing with triangles other than right triangles, the solution is to draw a perpendicular line to create right triangles. For Trigonometric functions to work we need a hypotenuse, which we can only get in right triangles.
Hence, for Trigonometric functions to work we need a hypotenuse, which we can only get in right triangles.
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How would 5 1/4 be written as a percent? A. 0.0525 B. 0.525% C. 5.25% D. 525%
Answer:
525%
Step-by-step explanation:
set 5 1/4 as a decimal.
5.25 then move decimal point two places to the right to get the percent
525%
Answer:
d
Step-by-step explanation:
A bakery offers a sale price of $2.65 for 6 muffins. What is the price per dozen?
Answer:
$5.30 is the answer
Step-by-step explanation:
since there are 12 muffins in a dozen muffins and 6 is half of twelve you multiply $2.65 by 2
Answer:
$5.30
Step-by-step explanation:
6 muffins is 2.65, a dozen is 12, 12 is double 6, 2.65 doubled is 5.30!
For a given data set, suppose Q1 = 40,Q2= 45,Q3 = 50 Also, suppose that the three smallest observations are 20, 24, and 28. Which of the following is true about the box plot for this data set?
a. There would be three asterisks plotted to indicate outliers at 20, 24, and 28.
b. There would be no asterisks plotted , indicating no outllers .
c. There would be two asterisks plotted to indicate outliers at 20 and 24.
d. There would be one asterisk plotted to indicate an outlier at 20 .
There would be no asterisks plotted, indicating no outliers, as none of the observations (20, 24, and 28) fall below the lower fence or above the upper fence. The correct answer is b.
Based on the information, none of the observations 20, 24, and 28 can be classified as outliers since they are not below the lower fence or above the upper fence.
In a box plot, outliers are typically defined as observations that fall below the lower fence (Q1 - 1.5 * IQR) or above the upper fence (Q3 + 1.5 * IQR), where IQR is the interquartile range (Q3 - Q1).
Since the given data set does not contain any observations below the lower fence or above the upper fence, there would be no asterisks plotted to indicate outliers (option b is true). The three smallest observations (20, 24, and 28) are within the acceptable range and are part of the data set's distribution.
Therefore, the correct answer is b. There would be no asterisks plotted, indicating no outliers.
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