Answer:
18π in²
Step-by-step explanation:
We need to find the circumference of the edge of the cylinder. The formula for circumference is C = 2πr, where r is the radius.
Here, the circumference is 2π(3 in) = 6π in.
To find the surface area covered by the label, multiply this circumference by the can height, 3 in:
V = (6π in)(3 in) = 18π in²
Approximately 18.85 square inches of paper is used for the label that covers the Lateral surface area of the soup can.
Let's find the amount of paper used for the label that covers the lateral (side) surface area of the soup can, you can calculate the lateral surface area of the cylinder.
The formula for the lateral surface area of a cylinder is:
Lateral Surface Area = 2πrh
Where:
π (pi) is approximately 3.14159
r is the radius of the cylinder
h is the height of the cylinder
In this case, the radius (r) of the soup can is 1 inch, and the height (h) is 3 inches. Plug these values into the formula:
Lateral Surface Area = 2π(1 inch)(3 inches)
Lateral Surface Area = 2π(3 square inches)
Lateral Surface Area = 6π square inches
Now, you can calculate the approximate value:
Lateral Surface Area ≈ [tex]6 \times 3.14159[/tex] square inches
Lateral Surface Area ≈ 18.84954 square inches
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point R has coordinates (a,b) the point is reflected across the x-axis and then translated 5 points to the right to create point S . Create an expression that represents the y-coordinate of S
Answer:
-b + 5
Step-by-step explanation:
translation
Final answer:
The y-coordinate of point S after reflection across the x-axis and translation is -b, as reflection across the x-axis changes the sign and translation to the right does not affect the y-coordinate.
Explanation:
The student is asking to find the y-coordinate of a point S after a reflection across the x-axis and a translation 5 points to the right of a point R with coordinates (a,b).
The reflection of the y-coordinate across the x-axis changes its sign, so the reflected y-coordinate of point R would be -b. Translating a point to the right does not affect the y-coordinate, so the y-coordinate of point S would remain -b after this translation. Therefore, the expression that represents the y-coordinate of S is simply -b.
The graph of a quadratic equation always has an extreme location (maximum or minimum). State whether the parabola opens upward or downward, whether it has a maximum or a minimum, and what the coordinates of that point are. Use the pointer tool to approximate the coordinates of this extreme location to the nearest whole number.
The graph of a quadratic equation (a parabola) opens upwards or downwards depending on whether the coefficient of the x^2 term is positive or negative, respectively. The vertex of the parabola corresponds to the function's extreme point (maximum or minimum), and its coordinates are calculable with the formula (-b/2a, f(-b/2a)).
Explanation:The graph of a quadratic equation, otherwise known as a parabola, opens upwards if the coefficient of the x^2 term is positive and opens downwards if it is negative. The maximum or minimum point of the parabola is known as the vertex. In a standard form quadratic equation y = ax^2 + bx + c, the coordinates of the vertex are given by the equation (-b/2a, f(-b/2a)).
If the parabola opens upwards (positive coefficient of x^2), it will have a minimum point at the vertex. The y-coordinate of this point is the minimum value of the function.If the parabola opens downwards (negative coefficient of x^2), it will have a maximum point at the vertex. The y-coordinate of this point is the maximum value of the function.
So for example, for the quadratic equation y = 2x^2 + 3x + 1, the parabola would open upwards, and the vertex would be at (-3/4, f(-3/4)), which would be the minimum point of the parabola.
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What is the additive inverse of the complex number 13-2
Answer:
-13 + j*2
Step-by-step explanation:
The additive inverse of a complex number x = a +j*b
is a number y, such that
x + y = 0
This means that
y = -x = - a - j*b
Therefore
The additive inverse of 13 - j*2 is equal to
-(13 - j*2) = -13 +j*2
If a man weighs 198 pounds on earth, his mass on earth is 90 kilograms. If you can answer A & B
It is 5892 and i know it has to be or I guess I am wrong (i don’t care) hahahaha
Help with Algebra! Completing the square!
Answer:
Part a:[tex]f(x)=-2(x+1)^2+8[/tex]
Part b: Maximum value
Step-by-step explanation:
Part a.
The given function is [tex]f(x)=-2x^2-4x+6[/tex].
We need to complete the square to obtain the vertex form
[tex]f(x)=-2(x^2+2x)+6[/tex]
Add and subtract the square of half the coefficient of x.
[tex]f(x)=-2(x^2+2x+(1)^2)--2(1)^2+6[/tex]
[tex]f(x)=-2(x^2+2x+1)+2+6[/tex]
The quadratic trinomial within the parenthesis is now a perfect square
[tex]f(x)=-2(x+1)^2+8[/tex]
The vertex form is [tex]f(x)=-2(x+1)^2+8[/tex]
Part b
Comparing [tex]f(x)=-2(x+1)^2+8[/tex] to [tex]f(x)=a(x-h)^2+k[/tex], we have a=-2.
Since a is negative the vertex is a maximum point.
Hence the function has a maximum value
What is the steps in to solving this
If y varies inversely with x and y=8 when x=40, what is the constant of variation
Answer:
Step-by-step explanation:
Inverse Variation. Since k is constant, we can find k given any point by multiplying the x-coordinate by the y-coordinate. For example, if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is k = xy = 5(2) = 10.
In 1998 the population of a city was 100,000. Then each year for the next five years the population increases by 3%. Write and exponential growth model to represent this situation.
➷ population = 100,000 x 1.03^5
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Meg buys 12 bags of sunflower seeds. Each bag has 58 seeds. How many seeds dose meg have??
Answer: 696
Step-by-step explanation:
58 times 12
Answer:
696 seeds
Step-by-step explanation:
12*58
Describe the correlation.
A. no correlation
B. prime correlation
C. positive correlation
D. negative correlation
Answer:
the answer is D because their are 2 points that collide
Step-by-step explanation:
that's why I chose the answer d
Correlation in statistics is the relationship between two variables that can be positive, negative, or non-existent. Positive correlation means both variables move in the same direction, while negative correlation means they move in opposite directions. 'Prime correlation' is not a recognized term in statistics.
Explanation:In statistics, the term correlation refers to the statistical relationship between two variables. A correlation can be positive, negative, or there might be no correlation.
No correlation implies that there is no noticeable relationship between two variables. If one variable changes, we can't predict any specific change in the other.There is no such term as prime correlation in statistics. It might be a typo or unrelated to the concept of correlation.A positive correlation signifies that as one variable increases, the other does too. Similarly, if one variable decreases, the other follows. An example could be the more hours one studies, the better their exam performance.A negative correlation means that as one variable increases, the other decreases. For instance, the more time one spends watching TV, the lower their productivity might be.Learn more about Correlation here:https://brainly.com/question/36761554
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Variables are usually written as ......- case letters.
Answer: Variables are usually written in lower-case letters.
Step-by-step explanation:
For example, it's "9x +10" not "9X +10"
The polynomial function f(x)= 5x^5 + 16/5x -3 is graphed below. Which is a potential rational root of f(x) at point P ?
Answer: (A) The root at point P may be .
Step-by-step explanation:edge2022
Rewrite as a simplified fraction.
0.482=?
Answer: [tex]\bold{\dfrac{241}{500}}[/tex]
Step-by-step explanation:
[tex]0.482 = \dfrac{482}{1000}\\\\\\\dfrac{482}{1000}\div \dfrac{2}{2}=\dfrac{241}{500}[/tex]
Answer:
241/500 is The answer
Step-by-step explanation:
1) 0.482 = 482/1000
2) Divide by 2 on both side
0.482 = (482/2)/(1000/2) = 241/500
Hopes this helps!
Item 8 Solve for x. Use the quadratic formula. 2x2−5x−9=0 Enter the solutions, in simplified radical form, in the boxes.
Answer:
5+√97/4
Also 5-√97/4
Step-by-step explanation:
The Quadratic formula is x=-b+-√b^2-4ac/2a
This means that we should plug the values for A B AND C into the formula
We can work out that
A = 2
B=-5
C=-9
Once we have put these into the formula we get
5+√97/4 (all over 4) aka 3.71
Also 5-√97/4 (all over 4) aka -1.21
Answer:
[tex]\large\boxed{x=\dfrac{5-\sqrt{97}}{4}\ or\ x=\dfrac{5+\sqrt{97}}{4}}[/tex]
Step-by-step explanation:
[tex]\text{Let}\ ax^2+bx+c=0\\\\\text{The quadratic formula:}\\\\\Delta=b^2-4ac\\\\\text{If}\ \Delta>0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt\Delta}{2a}\\\\\text{If}\ \Delta=0,\ \text{then the equation has one solution}\ x=\dfrac{-b}{2a}\\\\\text{If}\ \Delta<0,\ \text{then the equation has no solution}\\==================================[/tex]
[tex]\text{The equation}\ 2x^2-5x-9=0\\\\a=2,\ b=-5,\ c=-9\\\\\Delta=(-5)^2-4(2)(-9)=25+72=97>0\\\\\sqrt\Delta=\sqrt{97}\\\\x_1=\dfrac{-(-5)-\sqrt{97}}{2(2)}=\dfrac{5-\sqrt{97}}{4}\\\\x_2=\dfrac{-(-5)+\sqrt{97}}{2(2)}=\dfrac{5+\sqrt{97}}{4}[/tex]
Find the area of the polygon defined by the coordinates (0, -5), (-5, 0), (-15, -20), and (-20, -15). A) 90 square units B) 110 square units C) 130 square units D) 150 square units
Answer: E. 150 square units.
Step-by-step explanation:A polygon is figure with at least 3 straight or definite sides or typically 5 or more straight sides.
Here the polygon we are given is a rectangle.
We know that,
Area of a rectangle = l x w
so we need to measure the length and width of the rectangle to find its area.
If we look closely, we can see the length of the rectangle above the x-axis is 8 units and the length below the x-axis 7 units which makes a total og 15 units.
Answer:
D) 150 square units
Step-by-step explanation:
Use the distance formula: d = (x2 - x1)2 + (y2 - y1)2
A = L x W = 15/-2x 5/-2
= 150
Which quadrilateral can have 2 pairs of parallel sides, all sides with equal length, and no right angles.
Final answer:
The quadrilateral with two pairs of parallel sides, equal side lengths, and no right angles is a rhombus. It can be thought of as a 'pushed over' square without right angles.
Explanation:
The student is asking about a type of quadrilateral that meets certain criteria: it has two pairs of parallel sides, all sides are of equal length, and it has no right angles. A rectangle is a quadrilateral with four right angles, hence it does not meet the criteria since the question specifies no right angles. Considering the traits listed, the quadrilateral in question is a rhombus. A rhombus has all sides of equal length and two pairs of parallel sides, but unlike a square, it does not necessarily have right angles. To visualize, we can think of a 'pushed over' square – if the angles are all acute or obtuse rather than right angles, it qualifies as a rhombus.
What is the value of angle x rounded to the nearest whole number
Answer:
x ≈ 42°
Step-by-step explanation:
Label the vertices of the quadrilateral shown at the upper left in you diagram A, B, C, and D, starting at the lower left. Label the center point X. Then the red line is CX and the lower two line segments are CD and DA. (A, C, D, and X are not coplanar.)
Angle D of triangle ACD is the interior angle of a regular pentagon, so measures 108°. That means angle ACD measures (180° -108°)/2 = 36°. If we label the midpoint of segment AC point Y, then the length of segment CY is ...
CY = CD·cos(36°)
Now triangle BCD is an equilateral triangle, so segment CX will have a length corresponding to the altitude of that triangle, CD·√3/2. Shifting our focus to the triangle AXC, we find that angle XCY will satisfy the relation ...
cos(XCY) = CY/CX = CD·cos(36°)/(CD·√3/2) = (2/)√3·cos(36°)
Angle x is the exterior angle of triangle AXC that is opposite the two equal interior angles XCY and XAY. Hence its value is double that of angle XCY.
angle x = 2·arccos((2/√3)·cos(36°)) ≈ 2·20.905° ≈ 41.81°
angle x ≈ 42°
_____
Comment on the angle
The icosahedron is the only Platonic solid with a dihedral angle more than 120°. It is about 138.19°, the supplement to angle x.
Comment on point labels
It may help to label the points in the 3-d version of the figure. Then you can see that segment AC is a line through the interior space of the icosahedron.
What is the interquartile range of this data?
6
7
8
9
8 because the begging of the box is 8 away from the end of the box
Answer:
C.8 mark me as the best
Step-by-step explanation:
A bag contains 5 red,4 green, and 3 blue marbles. What is the probability of randomly selecting a blue marble, replacing it in the bag, and then randomly selecting a red marble A. 1/48 B. 1/12 C.5/48 D.5/12
Answer:
c 5/48
Step-by-step explanation:
if you borrow $400 for 2 years at an annual interest rate of 15%, how much will u pay altogether?
Answer:
$520
Step-by-step explanation:
We first find the interest;
400*2*15/100=4*2*15
=$120
Total=$120+$400
=$520
Answer:520
Step-by-step explanation:
above correct
The selling price of an item is $390. After 6 months of not selling, it is marked down by 10%. After another 6 months of not selling, it is further marked down by 30%. Find the sale price after both markdowns. Round to nearest dollar.
Answer:
$246
Step-by-step explanation:
The price of the product is $390, after 6 months the price is marked down by 10% which is $39 so the total will be $351. After another 6 months the price is marked down again by 30%, which is $105 and 3 cents ($105.3). For a total of $245 and 7 cents ($245.7). To round the number you only need to look at the number after the decimal which is 7 in this case. Any number bellow 5 counting 5 in it, will stay the same number, any number above 5 without counting 5 will be the next number. So $245.7 rounded to the nearest dollar will be $246.
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Help me pls I need help and I need the answer
Answer:F
Step-by-step explanation:
Due to the fact the ratio is 14 to 6, 14 to 6 is basically close to 3/4.
A survey found that 78% of high school freshmen have internet acess at home. Of the 754 freshmen at one high school , about how many would be expected to have internet acess at home? SHOW WORK AND EXPLAIN! The person who does show work will be marked as brainliest.
Multiply the total number of freshman by the percentage:
754 x 0.78 = 588.12
Since you cant have 0.12 of a person, round up to 589 people.
Approximately 589 of the freshmen at the high school would be expected to have internet access at home.
We are given that 78% of high school freshmen have internet access at home. This percentage can be expressed as a fraction or a decimal for calculation purposes. In this case, we will use the decimal form, which is 0.78.
The total number of freshmen at the high school is given as 754.
To find the number of freshmen with internet access, we multiply the total number of freshmen by the percentage (in decimal form) that represents those with internet access.
The calculation is as follows:
Number of freshmen with internet access = Total number of freshmen × Percentage with internet access
Number of freshmen with internet access = 754 × 0.78
Performing the multiplication:
Number of freshmen with internet access = 588.92
In conclusion, about 589 of the 754 freshmen at the high school would be expected to have internet access at home.
4. The MAD of a set of six data values is 10. The mean is 20. What could the data values be? Show that the mean is 20 and the MAD is 20.
Answer:
15
Step-by-step explanation:
The data values could be 10, 10, 10, 25, 25, 40.
What is mean Absolute Deviation?Mean absolute deviation is defined as the average value of the absolute deviations from the mean.
Given that,
Mean absolute deviation of a set of 6 data values = 10
Let x1, x2, x3, x4, x5 and x6 be the data values.
Mean = 20
x1 + x2 + x3 + x4 + x5 + x6 / 6 = 20
x1 + x2 + x3 + x4 + x5 + x6 = 120
Also we have mean absolute deviation = 10
Data values could be 10, 10, 10, 25, 25, 40.
Mean = 20 and MAD = 10
Hence the data values could be 10, 10, 10, 25, 25, 40.
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What's the value of x? x=
Answer:
x = 2
Step-by-step explanation:
These are 2 secant lines intersecting a circle. This problem can be solved using secant-theorem.
Simply put, the secant theorem tells us that the outer segment (outside the circle) times the total length of secant line (outer and inner segment) is equal to that of the other secant line's product of outer and total.
For this diagram, according to the theorem, it should be:
DE * CE = AE * BE
Hence we have:
[tex]DE * CE = AE * BE\\(1+x+4)*(x+4)=(11+x+1)*(x+1)\\(x+5)*(x+4)=(x+12)*(x+1)\\x^2+9x+20=x^2+13x+12\\20-12=13x-9x\\8=4x\\x=\frac{8}{4}=2[/tex]
The value of x is 2
Need help QUICK!!! #3
A=f(18)=110(.8855)^18=12.3mg
===========================================================
Explanation:
Plug in t = 18 to get
f(t) = 110*(0.8855)^t
f(18) = 110*(0.8855)^18
f(18) = 110*(0.112045)
f(18) = 12.32495
f(18) = 12.32
The answer is approximate. I rounded to two decimal places (aka to the nearest hundredth).
Jasmine finished the bike trail in 2.5 hours at an average rate of 9 3/10 miles per hour. Lucy biked the same trail at a rate of 6 1/5 miles per hour. How long did it take Lucy to bike the trail?
Plz explain your awnser
Answer:
3.75 hours
Step-by-step explanation:
Using the relation
Distance = speed × time
Change Jasmine's speed into an improper fraction
9 [tex]\frac{3}{10}[/tex] = [tex]\frac{93}{10}[/tex], then
distance = [tex]\frac{93}{10}[/tex] × [tex]\frac{5}{2}[/tex] = [tex]\frac{93}{4}[/tex] miles
To calculate Lucy's time over the same distance use
Time = [tex]\frac{distance}{speed}[/tex]
Change speed to an improper fraction
6 [tex]\frac{1}{5}[/tex] = [tex]\frac{31}{5}[/tex], hence
time = [tex]\frac{\frac{93}{4} }{\frac{31}{5} }[/tex]
= [tex]\frac{93}{4}[/tex] × [tex]\frac{5}{31}[/tex] ( cancel 93 and 31 )
= [tex]\frac{3(5)}{4}[/tex]
= [tex]\frac{15}{4}[/tex] = 3.75 hours
Final answer:
It took Lucy approximately 160.17 minutes to bike the trail.
Explanation:
Jasmine finished the bike trail in 2.5 hours at an average rate of 9 3/10 miles per hour. Lucy biked the same trail at a rate of 6 1/5 miles per hour. To find out how long it took Lucy to bike the trail, we can use the formula:
Time = Distance / Rate
Since the distance is the same for both Jasmine and Lucy, we can set up an equation:
2.5 = Distance / 6 1/5
To solve this equation, we first need to convert 2.5 into a fraction. 2.5 is the same as 2 1/2. So, the equation becomes:
2 1/2 = Distance / 6 1/5
To make the equation easier to work with, we can convert 2 1/2 into an improper fraction: 2 1/2 = 5/2. The equation now becomes:
5/2 = Distance / 6 1/5
To solve for Distance, we can use cross-multiplication:
(5/2)(6 1/5) = Distance
Simplifying the right side of the equation:
(5/2)(31/5) = Distance
(5/1)(31/5) = Distance
31 = Distance
So, the distance of the bike trail is 31 miles. Now, we can find out how long it took Lucy to bike the trail by using the formula Time = Distance / Rate:
Time = 31 / 6 1/5
Once again, let's convert 31 into a fraction: 31 = 31/1. The equation now becomes:
Time = 31/1 / 6 1/5
To divide fractions, we can multiply by the reciprocal of the second fraction. So, the equation becomes:
Time = 31/1 * 5 1/6
Now, we can convert 5 1/6 into an improper fraction: 5 1/6 = 31/6. The equation now becomes:
Time = 31/1 * 31/6
To multiply fractions, we can multiply the numerators together and the denominators together. So, the equation becomes:
Time = (31*31) / (1*6)
Calculating the numerator and denominator separately:
Time = 961 / 6
So, it took Lucy approximately 160.17 minutes to bike the trail.
2....evaluateeeeeeeeeeee
Answer:
Choice B is correct
Step-by-step explanation:
We apply the rule of exponents;
[tex]a^{-b}=\frac{1}{a^{b}}[/tex]
[tex]7^{-2}=\frac{1}{7^{2}}=\frac{1}{49}[/tex]
Which expressions are equivalent to (a^2-16(a+4)? Select the three equivalent expressions
A.) a^3-64
B.) (a-4)^3
C.) (a+4)^3
D.) (a+4)^2(a-4)
E.) (a-4)^2(a+4)
F.) [(a)^2-(4^2)](a+4)
G.) (a-4)(a+4)(a+4)
Answer:
F
Step-by-step explanation:
Final answer:
The three equivalent expressions to (a^2-16(a+4)) are: (a-4)^3, (a+4)^2(a-4), and (a-4)(a+4)(a+4).
Explanation:
The expression (a^2-16(a+4)) can be simplified by expanding the terms and combining like terms. First, apply the distributive property by multiplying -16 by (a+4), giving -16a-64. Then, multiply a^2 by -16 to get -16a^2. Finally, combine like terms to get -16a^2 - 16a - 64.
Therefore, the three equivalent expressions to (a^2-16(a+4)) are:
(a-4)^3
(a+4)^2(a-4)
(a-4)(a+4)(a+4)
I need help please???
I need help to please?
Answer:
x = 15
Step-by-step explanation: