The polar form of the rectangular coordinates (-3√3, 0) is r = 3√3 and θ = 0
To convert the rectangular coordinates (-3√3, 0) into polar form, we can use the following equations:
r = √(x² + y²)
θ = tan⁻¹(y/x)
In this case, x = -3√3 and y = 0, so we have:
r = √((-3√3)² + 0²) = 3√3
θ = tan⁻¹(0/(-3√3)) = tan⁻¹(0) = 0
Since the angle is given in radians over the interval 0 ≤ θ < 2π (which is equivalent to 0 ≤ θ < 6.28318), we need to add 2π to θ if it is negative, to ensure that θ is in the specified interval.
However, in this case, θ is already equal to 0, which is within the specified interval.
Therefore, the polar form of the rectangular coordinates (-3√3, 0) is:
r = 3√3
θ = 0 (in radians, over the interval 0 ≤ θ < 2π)
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(15 POINTS) Help pls ty
When does the graph of a quadratic function have a minimum value?
(this is a recorded answer so make it short and simple please thanks!)
The graph of a quadratic function in the form of y = ax² + bx + c, where "a" is not equal to zero, has a minimum value when "a" is positive.
what is quadratic function ?
A quadratic function is a second-degree polynomial function of the form f(x) = ax² + bx + c, where "a", "b", and "c" are constants, and "a" is not equal to zero. The graph of a quadratic function is a U-shaped curve called a parabola.
In the given question,
The graph of a quadratic function in the form of y = ax² + bx + c, where "a" is not equal to zero, has a minimum value when "a" is positive. This is because the parabola opens upward, and the vertex of the parabola, which represents the minimum point of the function, is located at the point (-b/2a, c - b²/4a).
On the other hand, if "a" is negative, the graph of the quadratic function will have a maximum value. This is because the parabola opens downward, and the vertex of the parabola represents the maximum point of the function.
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Find the volume of the cone that has a height of 12 and diameter of 12. Use 3.14 for pi.
Round your answer to the nearest tenths place.
TYPE ONLY THE NUMBER DO NOT INCLUDE THE UNIT
Answer:
425.2
Step-by-step explanation:
v = 1/3[tex]\pi r^{2} h[/tex] If the diameter is 12, then the radius is 6
v = [tex]\frac{3.14(6^{2})12 }{3}[/tex]
v = [tex]\frac{3.14(36)(12)}{3}[/tex]
v = 452.16
Helping in the name of Jesus.
Help it a screenshot
The equation will be w = 40b
How do you formulate an equation for the scenario provided?To find the total weight (w) of the soil in pounds when Yuki stacks b bags, you can use a simple linear equation. Each bag weighs 40 pounds, so the equation will be: w = 40b
This equation shows that the total weight (w) of the soil in pounds is equal to the number of bags (b) multiplied by the weight of each bag (40 pounds).
The above answer is based on the information below as seen in the picture;
Yuki works at a garden store. She is stacking 40 pounds bags of soil.
write an equation that gives the total weight, w, of the soil in pounds when Yuki stacks b bags.
+ - . = b, w, 40
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Write the equation of the parabola that has its x-intercepts
at (5, 0) and (-6, 0) and its
at (0, -1).
Answer:
y = (1/25)x^2 - 1
Step-by-step explanation:
To begin, we can use the fact that the x-intercepts of the parabola are at (5, 0) and (-6, 0) to determine the x-intercepts form of the equation. The x-intercepts form of a parabola is given by:
(x - r)(x - s) = 0,
where r and s are the x-coordinates of the x-intercepts.
Using this form, we can write:
(x - 5)(x + 6) = 0
Expanding this equation gives:
x^2 + x - 30 = 0
Next, we use the fact that the vertex of the parabola is at (0, -1) to determine the y-intercept form of the equation. The y-intercept form of a parabola is given by:
y = a(x - h)^2 + k,
where (h, k) is the vertex.
Substituting (0, -1) into this equation gives:
y = a(x - 0)^2 - 1
Simplifying gives:
y = ax^2 - 1
Now we can use the fact that the parabola passes through the point (5, 30) to determine the value of a. Substituting x = 5 and y = 0 into the equation above gives:
0 = a(5)^2 - 1
Solving for a gives:
a = 1/25
Substituting this value of a into the equation above gives the final equation of the parabola:
y = (1/25)x^2 - 1
5/0-6/0-41=
hope that helps okay :) if not really really sorry
What is the approximate solution to the equation 6e^4x — 3 = 21? a) 0.7945 b) 0 c) 0.1505 d) 0.3466
Answer: the answer is d) 0.3466.
Step-by-step explanation:
Starting with the equation:
6e^(4x) - 3 = 21
Add 3 to both sides:
6e^(4x) = 24
Divide both sides by 6:
e^(4x) = 4
Take the natural logarithm of both sides:
ln(e^(4x)) = ln(4)
Use the property of logarithms that ln(e^y) = y:
4x ln(e) = ln(4)
Simplify:
4x = ln(4)
Solve for x by dividing both sides by 4:
x = (1/4) ln(4)
Using a calculator, we get:
x ≈ 0.3466
Therefore, the answer is d) 0.3466.
Which of these is something I can pay for with the money in a savings account?
Answer:
what are the options?
Step-by-step explanation:
16PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ALL FAKE ANSWERS WILL BE REPORTED AND PLS PLS PLS EXPLAIN THE ANSWER OR HOW U GOT IT PLEASE AND TY
Answer: C
Step-by-step explanation:
For our unknown value x, the opposite side = 10 and the adjacent side = 18, using this information you can use SOH CAH TOA.
TOA refers to opposite over adjacent, which would be
tan x = 10/18.
Hope this helps!
Graph y=4/7x−2.
Use the line tool and select two points on the line to graph the line.
By using slope intercept , These were the two points on the line: (0,-2) and (7,2).
Define slope intercept?A line is defined by the equation y = mx + b, which is also known as the slope-intercept form. When the line is graphed, m represents the slope and b the point at which the line intersects the y-axis.
We may use the slope-intercept form of a line, which is y=mx+b where m is the slope and b is the y-intercept, to graph the line y=4/7x-2. Therefore, m=4/7 and b=-2.
These variables allow us to plot two spots along the line. Since the line crosses the y-axis at (0,-2) (the y-intercept), that location will be one of the points.
We can utilize the slope of 4/7 to locate a different point along the line. This indicates that we advance up 4 units in the y direction for every 7 units we move to the right (in the x direction). We can therefore move 7 units to the right and then 4 units up, starting at (0,-2), to reach (7,2).
So now we have two points on the line: (0,-2) and (7,2). These points can be plotted on a coordinate plane, and then a straight line can be drawn through them to create the graph.
Graph given below:
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Riley wants to put a poster in a frame. The original poster is 11 inches wide and 14 inches tall. The frame will be x inches thick on each side. The
figure shows the poster and its frame.
xin.
xin.
14 in.
xin.
11 in.
xin.
Riley knows he wants the total area of the poster and frame together to be no more than 320 square inches.
Which inequality correctly models this situation?
A 2 + 11x + 14 = 320
B. 2 + 25x + 154 3 320
OC. 4x2 + 11x + 14 < 320
OD
4x2 + 50x + 154 3 320
An inequality that correctly models the situation is:
4x² + 50x + 154 ≤ 320
The correct answer is an option (D)
Let us assume that l represents the length (height) and w represents the width of the poster and frame together.
Here, the original poster is 11 inches wide and 14 inches tall and the frame will be x inches thick on each side.
So, the height l would be,
l = (14 + 2x) inches
and the width w would be,
w = (11 + 2x) inches
We know that the formula for the area of rectangle.
A = l × w
So, the expression for the area of the poster and frame together would be,
A = (14 + 2x) × (11 + 2x)
A = 154 + 22x + 28x + 4x²
A = 4x² + 50x + 154
The total area of the poster and frame together to be no more than 320 square inches.
So, we get an inequality
A ≤ 320 in²
4x² + 50x + 154 ≤ 320 in²
Thus, the correct answer is an option (D)
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Find the complete question below.
A laptop computer sells for $2,149.99 and has a mail-in rebate for $200. What is
the cost after the rebate if an envelope costs 15¢ and a stamp costs 39¢?
The cost of the envelope and stamp may vary depending on the location and the method of delivery. In this example, we assumed that the cost of the envelope is $0.15 and the cost of the stamp is $0.39, but these values may change based on the specific circumstances.
What is cost?
Cost" is the amount of money or resources that are required to produce, acquire, or obtain something. In other words, cost refers to the expenses that are incurred in the process of acquiring or producing a good or service.
For example, the cost of producing a product may include the cost of raw materials, labor, overhead expenses, and other related costs. Similarly, the cost of acquiring a product may include the purchase price, taxes, shipping costs, and any other fees or expenses associated with the purchase. Overall, cost is a crucial factor in business and economics, as it determines the profitability of a venture and helps to make informed decisions regarding investments and pricing strategies
To find the cost of the laptop after the mail-in rebate and the cost of the envelope and stamp, we can follow these steps:
Subtract the mail-in rebate from the original price of the laptop:
$2,149.99 - $200 = $1,949.99
Add the cost of the envelope and stamp to the cost of the laptop after the mail-in rebate:
$1,949.99 + $0.15 + $0.39 = $2,090.53
Therefore, the cost of the laptop after the mail-in rebate and the cost of the envelope and stamp is $2,090.53.
To explain this calculation, we first subtract the mail-in rebate of $200 from the original price of the laptop, which gives us the price of the laptop after the rebate. Then, we add the cost of the envelope and the stamp to this price to get the total cost of the laptop after the rebate and the cost of the envelope and stamp.
Therefore, The cost of the envelope and stamp may vary depending on the location and the method of delivery. In this example, we assumed that the cost of the envelope is $0.15 and the cost of the stamp is $0.39, but these values may change based on the specific circumstances.
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PLS HELP I WILL GIVE YOU 50 PTS BUT IF FOOL ANSWERS WILL GET REPORTED AND GOOD ANSWERS WILL GET BRAINLYEST
Answer: Ok so first you would take the 86 and multiply it by .2 or 20% and that would get you 17.2 for blank 2
then you would take 86 and subtract 17.2 to get 68.8 for blank 3
sooo... he would pay 68 dollars and 80 cents with the coupon
Step-by-step explanation:
im really smart and good at math : )
Show that the four points (2,1), (-1,-5), (1,5) and (-2,-1) are the vertices of a parallelogram
They form a parallelogram because opposite sides of the given points have an equal slope.
What is the slope?The slope of a line is a measure of its steepness. Mathematically, the slope is calculated as "rise over run" (change in y divided by change in x).
According to the given information:To prove that the four points (2,1), (-1,-5), (1,5), and (-2,-1) are the vertices of a parallelogram, we need to show that opposite sides are parallel.
First, we can find the slope of the line connecting (2,1) and (-1,-5):
m1 = (1 - (-5)) / (2 - (-1)) = 6/3 = 2
Next, we can find the slope of the line connecting (1,5) and (-2,-1):
m2 = (5 - (-1)) / (1 - (-2)) = 6/3 = 2
Since the slopes are the same, the line segments connecting these points are parallel.
Now, we can find the slope of the line connecting (2,1) and (1,5):
m3 = (5 - 1) / (1 - 2) = -4
Next, we can find the slope of the line connecting (-1,-5) and (-2,-1):
m4 = (-1 - (-5)) / (-2 - (-1)) = 4/3
Since the slopes are different, the line segments connecting these points are not parallel.
However, we can also see that the line connecting (1,5) and (-1,-5) has the same slope as the line connecting (-2,-1) and (2,1), which is:
m5 = (5 - (-5)) / (1 - (-1)) = 10/2 = 5
Therefore, the line segments connecting (1,5) and (-1,-5), and (-2,-1) and (2,1) are parallel.
Since opposite sides are parallel, the four points (2,1), (-1,-5), (1,5), and (-2,-1) form a parallelogram.
Therefore, they form a parallelogram because opposite sides of the given points have an equal slope.
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10. A cone has a Volume of 94.25cm ^ 3 If the radius of the cone is 3 cm, what is the height of the cone?
Answer:
10 cm
Step-by-step explanation:
V =1/3 x π x r² x h
94.25 =1/3 x π x 3² x h
94.25 ÷ 3π =h
so, h= 10 cm
The temperature on top of Mt. Katahdin dropped 25 degrees over 8 hours. On average, how much did the temperature change each hour? Represent your answer as a rational number.
Answer: To find the average change in temperature per hour, we need to divide the total change in temperature by the number of hours.
The temperature dropped 25 degrees over 8 hours, so the average change per hour is:
25 degrees / 8 hours = 3.125 degrees per hour
Therefore, the temperature on top of Mt. Katahdin dropped by an average of 3.125 degrees per hour.
Step-by-step explanation: The temperature on top of Mt. Katahdin dropped by an average of 3.125 degrees per hour.
9) Find m/B
В
22 mi
A
110°
23 mi
ec
с
The measure of angle ∠B in triangle ABC will be 35.89°.
Given that:
Sides, AC = 23 miles and AB = 22 miles
Angle, ∠A = 110°
The sine law in the triangle ΔABC is given as,
AB / sin C = BC / sin A = AC / sin B
23 / sin C = BC / sin 110° = 23 / sin B
The value of BC is calculated as,
BC² = AB² + AC² - 2 AB·AC cos A
BC² = 22² + 23² - 2 x 22 x 23 x cos 110°
BC² = 1359.124
BC = 36.87 miles
The value of angle B is calculated as,
36.87 / sin 110° = 23 / sin B
sin B = 0.586
∠B = 35.89°
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Austin Corp. reported the following information for 2013 and 2014.Interest receivable, December 31, 2013 $1,100Interest receivable, December 31, 2014 1,400Interest income--2014 3,200How much cash was received for interest during 2014?A. $2,900B. $3,200C. $3,500D. $3,800
Cash received for interest during 2014 was $3,500 .The following equation can be used to determine the amount of money received as interest in 2014:
Amount received as interest equals Interest Income for 2014 plus the decline in Interest Receivable
The difference between the balance of interest receivable at December 31, 2013, and at December 31, 2014, can be used to calculate the decline in interest receivable:
Reduced interest due = Interest due at December 31, 2013, minus Interest due at December 31, 2014, which equals $1,100 minus $1,400, or -$300.
The fact that the balance of interest receivable increased from 2013 to 2014 indicates that the company produced more interest money during the year than it received. In light of this, the money earned on interest in 2014 is:
Interest income from 2014 plus a decrease in interest receivable equals $3,200 minus (-$300) to $3,500 in interest payments received.
Hence, $3,500 is the correct response (C).
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A small can of beans is 3 in. high with a 1 in. radius and sells for $1.49. Which can of beans is a better deal?
a. 9 in. high; 3 in. radius; sells for $39.95
b. 3 in. high; 2. in. radius; sells for $5.96
c. 3 in. high; 3 in. radius; sells for $13.41
Therefore, can b and c are the same better deal since they have the same price per cubic inch using the volume of a cylinder.
Volume of a cylinder calculation.
To compare which can of beans is a better deal, we need to calculate the volume of each can and divide it by the price. The can with the highest volume per dollar is the better deal.
a) The volume of the can is V=πr²h=(3.14)(3²)(9)=254.34 cubic inches. The price per cubic inch is $39.95/254.34 = $0.157, rounded to three decimal places.
b) The volume of the can is V=πr²h=(3.14)(2²)(3)=37.68 cubic inches. The price per cubic inch is $5.96/37.68 = $0.158, rounded to three decimal places.
c) The volume of the can is V=πr²h=(3.14)(3²)(3)=84.78 cubic inches. The price per cubic inch is $13.41/84.78 = $0.158, rounded to three decimal places.
Therefore, can b and c are the same better deal since they have the same price per cubic inch.
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write 3.6*10^5+4.8*10^4 in scientific notation
Answer: 3.610^5+4.810^4 in scientific notation is 4.08*10^5.
Step-by-step explanation: The initial step to convert 3.610^5+4.810^4 into scientific notation is to combine the two values.
The sum of 3610 multiplied by 10 to the power of 5 and 4810 multiplied by 10 to the power of 4 is equal to adding 3610 multiplied by 10 to the power of 4 and 4810 multiplied by 10 to the power of 4, resulting in 40.8 multiplied by 10 to the power of 4.
We can convert 40.8*10^4 to scientific notation by shifting the decimal point to the left until there is only one non-zero digit to the left of the decimal, and denoting the number of decimal places moved with a 10 exponent.
Rewording: When you raise 40.810 to the power of 4, the result is 4.0810 to the power of 5 when you add 1 to the exponent. This is equivalent to multiplying 4.08 by 10 and raising it to the power of 5.
I NEED HELP ON THIS ASAP!!!
The table for the function f(x) = 2ˣ should be completed as follows;
x -4 -3 -2 -1 0
f(x) 1/16 1/8 1/4 1/2 1
As x approaches negative infinity, f(x) decreases.
What is an exponent?In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.
This ultimately implies that, an exponent is represented by the following mathematical expression;
bⁿ
Where:
the variables b and n are numerical values (numbers) or an algebraic expression.n is referred to as a superscript or power.By applying the negative power rule to the function based on each of the x-values, we have the following:
f(x) = 2⁰ = 1
f(x) = 2⁻¹ = 1/2
f(x) = 2⁻² = 1/2² = 1/4
f(x) = 2⁻³ = 1/2³ = 1/8
f(x) = 2⁻⁴ = 1/2⁴ = 1/16
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Question 3(Multiple Choice Worth 2 points)
(Appropriate Measures MC)
A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20
A graph titled Donations to Charity in Dollars. The x-axis is labeled 1 to 5, 6 to 10, 11 to 15, and 16 to 20. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 1 to 5, up to 3 above 6 to 10, up to 1 above 11 to 15, and up to 7 above 16 to 20.
Which measure of variability should the charity use to accurately represent the data? Explain your answer.
The range of 13 is the most accurate to use, since the data is skewed.
The IQR of 13 is the most accurate to use, since the data is skewed.
The range of 20 is the most accurate to use to show that they have plenty of money.
The IQR of 20 is the most accurate to use to show that they need more money.
For the given problem, The correct answer will be option 2: The IQR of 13 is the most accurate to use, since the data is skewed.
How to determine measure of variability?The Interquartile Range (IQR) is a measure of variability that compares the 25th percentile (Q1) to the 75th percentile (Q3) of a dataset (Q3). It is frequently used to describe the distribution or variability of data that may contain outliers or is not regularly distributed.
The data in the histogram is not evenly distributed in this example because there are many donations at the higher end of the scale (16 to 20), resulting in a positively skewed distribution. Using a range of 20, which indicates the difference between the greatest and lowest value in the dataset, may not adequately depict the data's variability since it is significantly impacted by outliers at the extremes.
For the given dataset, IQR can be calculated as:
Arrange the dataset in ascending order:
[tex]5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20[/tex]
Find the median (Q2), i.e. the middle value of given dataset:
Median (Q2) = 15
Find the lower quartile (Q1), which is the median of the lower half of the dataset:
[tex]Q1 = Median of (5, 5, 6, 8, 10) = 6[/tex]
Find the upper quartile (Q3) i.e. median of the upper half of dataset:
[tex]Q3 = Median \;of (15, 18, 20, 20, 20, 20, 20) = 19[/tex]
[tex]IQR = Q3 - Q1 = 19 - 6 = 13[/tex]
Utilizing the IQR of 13, which represents the range between the 25th percentile (Q1 = 6) and the 75th percentile (Q3 = 19), would provide a more accurate measure of variability that is less impacted by outliers at the higher end of the data. It would also offer a better indication of the organization's typical donations because it captures the middle 50% of the data.
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What is the length of the diagonal from P to Q?
The length of the diagonal from the given shape above would be = 12
How to calculate the length of the diagonal?To calculate the length of the diagonal from P to Q, the Pythagorean theorem should be used such as;
C² = a² + b²
The Pythagorean theorem states that the the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
Therefore;
C = ?
a = 8
b = 9
C² = 8²+9²
C² = 64+81
C² = 145
C = √145
= 12.
Therefore, the length of the diagonal P to Q of the given shape above is 12.
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The lengths of the three sides are given for several right triangles. For each, write an equation that expresses the relationship between the lengths of the three sides. 5,2. 2360679775,5. 47722557505
An equation that expresses the relationship between the lengths of the three sides is a^2 + b^2 = c^2.
In a right triangle, the side opposite the right angle is called the hypotenuse, while the other two sides are called the legs.
The relationship between the lengths of the three sides in a right triangle is described by the Pythagorean Theorem, which states that the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse.
Mathematically, this can be represented as:
a^2 + b^2 = c^2
where a and b are the lengths of the legs, and c is the length of the hypotenuse.
For the given right triangle with lengths 5, 2.2360679775, and 5.47722557505, we can plug in the values of a, b, and c to get:
5^2 + 2.2360679775^2 = 5.47722557505^2
which simplifies to:
25 + 5 = 30
This equation is true, indicating that the given lengths do indeed form a right triangle according to the Pythagorean Theorem.
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(c) explain, in a few sentences, what causes a graph of a function in polar coordinates to pass through the origin. how is this different from what makes a graph of a function in rectangular coordinates pass through the origin?
the condition for a function's graph to pass through the origin in polar coordinates is that the function's value at θ=0 is equal to zero, while the condition for a function's graph to pass through the origin in rectangular coordinates is that the function's value at (0,0) is equal to zero.
How to solve the question?
In polar coordinates, a graph of a function passes through the origin if and only if the function's value at θ=0 is equal to zero. This is because the origin in polar coordinates represents the point (r=0, θ), where r is the distance from the origin and θ is the angle of the point with respect to the positive x-axis. When a function's value at θ=0 is equal to zero, it means that the point on the graph at θ=0 lies on the positive x-axis and has a distance of r=0 from the origin, which is the origin itself.
In contrast, a graph of a function in rectangular coordinates passes through the origin if and only if the function's value at (0,0) is equal to zero. This is because the origin in rectangular coordinates represents the point where the x and y axes intersect, and a point on the graph with coordinates (x,y) passes through the origin if and only if x=0 and y=0, which means the function's value at (0,0) is equal to zero.
In summary, the condition for a function's graph to pass through the origin in polar coordinates is that the function's value at θ=0 is equal to zero, while the condition for a function's graph to pass through the origin in rectangular coordinates is that the function's value at (0,0) is equal to zero.
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Use the trading data for Friday, October 20 and Friday, October 27 to answer the questions. ( in the picture)
A) what was the difference between the high and low prices on October 20?
B) on October 27, what was the actual volume of discovery group shares posted? Write the volume in numerals.
C) at what price did discovery group clothes on October 19?
D) use the October 19 closing price from above and the October 20 opening price to find the difference in the prices as a percent increase. Round to the nearest hundredth place.
E) on October 21 discovery group announced that they would close one of their manufacturing plants. This resulted in a drop in their stock price. It closed at $32 express the number change from October 20 to October 21 as a percent rounded to the nearest tenth of a percent.
F) on October 28 discovery group announce that they would not be closing the plant this news cause the price of the stock to rise. It closed at $48.20 express the net change from October 27 to October 28 as a percent, rounded to the nearest tenth of a percent.
G) explain why 52 week high and 52 week low numbers are the same in both charts ?
H) examine the closing price of discover group on October 27 one year earlier one share closed at 30% higher than that amount, what was the closing price one year earlier?
a. The difference between the high and the low prices on October 20 was $3.33.
b. The actual volume of Discovery Group shares posted on October 27 was 23,600.
c. The closing price for Discovery Group on October 19 was $38.50
What was the percentage decrease?The percentage decrease is calculated below as follows:
closing price on October 19 = $38.50
the opening price on October 20 = $37.22
the percentage decrease in prices = (37.22 - 38.50) / 38.50
the percentage decrease in prices = -3.33% to the nearest hundredth
e. The net change = $32.00 - $38.50
The net change = -$6.50.
The percentage change = (-6.50 / 38.50) * 100
The percentage change = -16.9% to the nearest tenth percent
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The sales tax is 4%. The cost of lunch is 6. 50. What is the amount of the sales tax?
The amount of the sales tax is 0.26
How to calculate the amount of sales tax?Convert tax percentage into a decimal by moving the decimal point two spaces to the left.Multiple the pre-tax value by the newly calculated decimal value in order to find the cost of the sales tax.Add the sales tax value to the pre-tax value to calculate the total cost.Now, The sales tax is 4%.
The cost of lunch is 6. 50.
=> 4% of 6.50
4/ 100 × 6.50
0.04 × 6.50
=> 0.26
Hence, The amount of the sales tax is 0.26
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(ASAP) Tell whether the transformation appears to be a rigid motion. Explain.
Yes, the transformation is a rigid motion because the angle measures and the distances between the vertices of the image are the same as the corresponding angle measures and distances in the preimage.
Why is the transformation a rigid motion?Since the shape and size are the same in both the preimage and the image, and only the position has changed, this transformation is considered a rigid motion. Rigid motions, such as translations, rotations, and reflections, preserve the shape and size of the original figure.
Assuming the shape has been bent, it means that the angle measures and distances between the vertices have been altered. But this is not the case.
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Simplify: 4 3/5x3=??
Answer:
69/5 or 13.8
Step-by-step explanation:
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a rectangular playground is to be fenced off and divided into two parts by a fence parallel to one side of the playground. 720 feet of fencing is used. find the dimensions of the playground that will enclose the greatest total area.
find out the perimeter of the semicircle
take pie to be 3.142 and write down all the digits in the calculator
the radius of the semicircle is 11cm
Answer:
P = 11 + (1/2)π(11) = 11 + 5.5π = 28.279 cm
Letting π = 3.142:
P = 11 + (1/2)(3.142)(11) = 28.281 cm
solve by substitution
-8y=5x+17
-7y=-2x-17
Therefore , the solution of the given problem of equation comes out to be the system of equations has an answer of x = -10.51 and y = 6.26.
Define equation.In intricate algorithms, variable words are typically employed to demonstrate consistency between two opposing arguments. Equations are academic phrases that are used to demonstrate the equality of different academic figures. Consider the specifics of the above x + 7 suggestions. improving in this case provides b + 7 while constructing y + 7 before integrating.
Here,
Let's apply these steps to the provided equation system:
=> -8y = 5x + 17 ...(1)
=> -7y = -2x - 17 ...(2)
Solve equation (1) for x in terms of y in step 1:
=> -8y = 5x + 17
=> 5x = -8y - 17
=> x = (-8y - 17)/5
Step 2: Replace the value of x in equation (2) with the expression from step 1:
=> -7y = -2((-8y - 17)/5) - 17
Step 3: Address the equation that results for y.
=> -7y = (-16y - 34)/5 - 17
=> -35y = -16y - 34 - 85
=> -35y + 16y = -119
=> -19y = -119
=> y = (-119)/(-19)
=> y = 6.26
Step 4: Replace the formula for x from step 1 with the value of y obtained in step 3:
=> x = (-8(6.26) - 17)/5
=> x = -10.51
Consequently, the system of equations has an answer of x = -10.51 and y = 6.26.
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