Answer:
90. 718 kg
Step-by-step explanation:
0.454x 200= 90.718
if u round it it's 90.8kg
Answer: 90.8
Step-by-step explanation:
200x0.454=90.8
Since 1 pound is 0.454 kg, you multiply the 200 with the 0.454 because there are 200 pounds!
A straw is placed inside a rectangular box that is 4 inches by 2 inches by 10 inches, as
shown. If the straw fits exactly into the box diagonally from the bottom left corner to
the top right back corner, how long is the straw? Leave your answer in simplest
radical form.
10 in.
4 in.
2 in.
Answer:
The length of the straw in the simplest radical form is [tex]2\sqrt{30}[/tex] inches
Step-by-step explanation:
The length of the straw can be calculated as follow
The first step is to calculate the diagonal of the base of the rectangular box by using Pythagorean theorem
[tex]c^{2}=a^{2}+b^{2}[/tex]
Where [tex]c[/tex] is the base diagonal or the hypotenuse, [tex]a[/tex] is the short leg, [tex]b[/tex] is the long leg
Substitute [tex]2[/tex] for [tex]a[/tex], [tex]4[/tex] for [tex]b[/tex] in the Pythagorean theorem
[tex]c^{2}=2^{2}+4^{2}[/tex]
Simplify the right side of the equation
[tex]c^{2}=4+16[/tex]
[tex]c^{2}=20[/tex]
Take the square root of the right side to get the value of [tex]c[/tex]
[tex]c=\sqrt{20}[/tex]
Factor [tex]20[/tex] by [tex]4[/tex]
[tex]c=\sqrt{4\times 5}[/tex]
Substitute [tex]2^{2}[/tex] for 4
[tex]c=\sqrt{2^{2}\times 5}[/tex]
Rewrite the value of [tex]c[/tex] in the simplest radical form
[tex]c=2\sqrt{5}[/tex]
Since the value of [tex]c[/tex] is [tex]2\sqrt{5}[/tex], then the length of the diagonal of the base is
[tex]2\sqrt{5}[/tex] inches
The second step is to calculate the length of the straw by using Pythagorean theorem
[tex]c^{2}=a^{2}+b^{2}[/tex]
Where [tex]c[/tex] is the diagonal from the bottom left corner to the top right back corner or the hypotenuse, [tex]a[/tex] is the short leg, [tex]b[/tex] is the long leg
Substitute [tex]2\sqrt{5}[/tex] for [tex]a[/tex], [tex]10[/tex] for [tex]b[/tex] in the Pythagorean theorem
[tex]c^{2}=(2\sqrt{5})^{2}+10^{2}[/tex]
Simplify the right side of the equation
[tex]c^{2}=20+100[/tex]
[tex]c^{2}=120[/tex]
Take the square root of the right side to get the value of [tex]c[/tex]
[tex]c=\sqrt{120}[/tex]
Factor [tex]120[/tex] by [tex]4[/tex]
[tex]c=\sqrt{4\times 30}[/tex]
Substitute [tex]2^{2}[/tex] for 4
[tex]c=\sqrt{2^{2}\times 30}[/tex]
Rewrite the value of [tex]c[/tex] in the simplest radical form
[tex]c=2\sqrt{30}[/tex]
Since the value of [tex]c[/tex] is [tex]2\sqrt{30}[/tex], then the length of the diagonal from the bottom left corner to the top right back corner or the hypotenuse is
[tex]2\sqrt{30}[/tex] inches
Since the length of the diagonal from the bottom left corner to the top right back corner is [tex]2\sqrt{30}[/tex] inches, then the length of the straw is [tex]2\sqrt{30}[/tex] inches
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PLEASE HELP!!!!!!!! I GIVE BRAINLIEST!!!!!!!!!!!!
Answer:
Federalism
Step-by-step explanation:
refers to the division and sharing of power between the national and state governments.
A bottle of perfume is on sale for $30 after a discount of 25%. What was the original price?
Answer: 40 $
Step-by-step explanation:
Answer:
$40
Step-by-step explanation:
Since the discount is 25% off the original price, and 100% - 25% = 75%, then the sale price of $30 is 75% of the original price.
75% of x = $30
0.75x = 30
x = 30/0.75 = 30/(3/4)
x = 30 × 4/3
x = 40
Answer: $40
Help me please!!!!!!
Answer:
the answer is A
Use the recipe to find how much hair conditioner Helena
needs to make a half batch and a double batch?
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The following scatterplot shows two variables, x and y, along with a least-squares model.
Which of the following is a high leverage point with respect to the regression?
A (5,8)(5,8)
B (20,31)(20,31)
C (27,22)(27,22)
D (30,60)(30,60)
E (80,70)
Answer:
D(30,60)
Step-by-step explanation:
It was way outside the other points that are around the line.
The point (30,60) is a high leverage point on the regression plot.
What is High leverage points?High leverage points are those that are extreme but follow the regression equation's trend.
High leverage points are distinct from outliers, which deviate from the graph's or plot's pattern or trend.
Looking closely at the regression plot, the coordinate (30,60) follows the trend of the plot, however, it is farther from the majority of the points on the graph.
Hence, the point (30,60) is a high leverage point on the regression plot.
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Four lengths have a mode of 12 km and a range of 5 km. One of the lengths is 14 km. What are the other three lengths?
The other three length are 9km,12km,14km as mode is 12km
What is mode?
The value that appears most frequently in a set of values is referred to as the mode. It is the value that shows up the most frequently. The value that consistently appears in a given set is known as the mode in statistics. The mode or modal value is the value or number that appears most frequently in a data set and has a high frequency. Along with mean and median, there are three other ways to measure central tendency.
The mean, median, and mode all have the same values for this distribution. This indicates that this value—the one that appears the most frequently in the data—is the average, the centre, and the mode.
Four lengths have a mode of 12 km and a range of 5 km.
The range is the largest number minus the smallest number.
As mode is 12 so one more number is 12 as well.
Now another number given 14km, so the last number is (14-5 = 9)
Hence the other three lengths are 9km,12km,14km.
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how many 1 1/4 inch pieces can I cut a candy bar into if it is 5 1/3 inches long?
We can cut 4 4/15 pieces from 5 1/3 inches candy bar if the length of each candy is 1 1/4 inch.
Length of candy bar is 5 1/3 which can be written as 16/3 in
Length of piece that is to be cut from long candy bar is 1 1/4 or 5/4 in
Number of pieces
= length of piece/ total length of candy bar
= (16/3) / (5/4)
= 16/3 × 4/5
= 64/15
= 4 4/15 pieces
4 4/15 number of pieces can be cut from 5 1/3 inches long candy bar
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A spherical balloon is being inflated with hot air at a rate of 8 cubic meters per minute. how fast is the radius of the balloon increasing (measured in meters per minute) when the radius is 2 meters? Round your answer to two decimal places if needed. Do not include units.
The rate of change radius of the balloon increasing when the radius is 2 meters is 0.15 meters per minute.
A spherical balloon is being inflated with hot air at a rate
= 8 cubic meters per minute.
To find rate of change of radius when r is 2 meter.volume of a spherical balloon is :
[tex]volume = \frac{4}{3}\pi r^3[/tex]
rate of change of volume is given as :
dv/dt = (4/3) π 3 r² (dr/dt)
8 = 4πr²(dr/dt)
(dr/dt) = 8 / 4πr²
(dr/dt) = 8 / ( 4 x 3.14 x 2 x 2)
(dr/dt) = 0.15 Meter/mint
The rate of change radius of the balloon increasing when the radius is 2 meters is 0.15 meters per minute.
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Which description explains how the graph of f(x)=x√ could be transformed to form the graph of g(x)=x+7−−−−−√?
Responses
horizontal shift of 7 units left
horizontal shift of 7 units left
horizontal shift of 7 units right
horizontal shift of 7 units right
vertical stretch by a factor of 7
vertical stretch by a factor of 7
vertical shift of 7 units up
[tex]f(x) = \sqrt{x}[/tex] could be transformed to [tex]g(x) = \sqrt{x + 7}[/tex] responses horizontal shift of 7 units left.
What if graph transformation?
Graph transformation, often known as graph rewriting, is the process of algorithmically constructing a new graph from an original graph. It has several uses, including software engineering, layout algorithms, and image production.
Consider, the given equation of graph
[tex]f(x) = \sqrt{x}[/tex]
The graph becomes, [tex]g(x) = \sqrt{x + 7}[/tex].
The constant value remains unchanged. As a result, the graph will not move vertically. The graph shifts in the horizontal direction as a unit's variable changes.
Therefore, the transformation of graph is, horizontal shift of 7 units left.
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You applied for your dream job and just found out you got it. Your contract says that you will be making 30,000 a year to budget your expenses. You figure out that your tax rate is 15%. Your insurance will be 200 a month and you want to put 3% away for your retirement what is your gross income each month? net income (after taxes, insurance and retirement contribution have been taken out)?
The gross income of each month will be 2500/month and 30,000/year. And the net income will be 1850/month and 22,200/year.
We got 30000 a year to budget our expenses.
And the year has 12 months.
So, our monthly gross income will be 30,000/12
= 2500
Now, the tax rate is 15%
So, the tax will be,
=2500×15/100
=2500×.0.15
=375/month
And our insurance is 200 a month
Now,
we put 3% of our income for our retirement every month
so, the retirement fund will be
=2500×3/100
=2500×0.03
=75
Therefore,
The net income will be
=2500-375-200-75
=2500-650
=1850
Hence, our gross income will be 2500/month and 30000/year
And our net income will be 1850/month and 22,200/year
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a gymnasium weights all the people that come into exercise on one morning it notes down the weight of 5 people in kgs as follows : 58kg, 75 kg ,83.3 kg , 83 kg , 75.7 kg . calculate the average , median , and range of the given data
The average, the median, and the range of the given data are 75, 75.7, and 25.3, respectively.
We are given the weights of five people that go to the gymnasium to exercise. The weights are 58 kg, 75 kg, 83.3 kg, 83 kg, and 75.7 kg. The average is found by dividing the sum of all the weights by the number of persons.
A = (58 + 75 + 83.3 + 83 + 75.7)/5 = 375/5 = 75
Hence, the average weight is 75 kg. The median weight is the center value when all the weights are arranged in ascending or descending order. The weights arranged in the ascending order are 58 < 75 < 75.7 < 83 < 83.3. The third weight lies in the center. Hence, the median weight is 75.7 kg. The range of the data is the difference between the maximum and the minimum weight. The maximum and minimum weights are 83.3 kg and 58 kg, respectively.
R = 83.3 - 58 = 25.3
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Two angles in triangle PQR are congruent, ∠P and ∠Q; ∠R measures 34.15°. What is the measure of ∠P?
The answer for a measure of ∠P = 72.92° using congruence of the triangle.
What is congruent of the triangle?
The shapes maintain their equality regardless of how they are turned, flipped, or rotated before being cut out and stacked. We'll see that they'll be placed entirely on top of one another and will superimpose one another. Due to their identical radius and ability to be positioned directly on top of one another, the following circles are considered to be congruent.
Any two figures can be perfectly positioned over one another to demonstrate their congruence. The relationship between two figures that are said to be congruent is described using the word "congruence."
As given ∠P = ∠Q and ∠R=34.15
We know that sum of all angles in a triangle = 180 °
So 2∠P + ∠Q = 180
2∠P = 180-34.15 = 145.85
∠P = 72.92
So the measure of ∠P is 72.92°
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A person has a taco stand. He has found that his daily costs are approximated by C(x)=x²-20 x+340, where C(x) is the cost, in dollars, to sell x units of tacos. Find the number of units of tacos he should sell to minimize his costs. What is the minimum cost?
The person should sell ? units of tacos to minimize the costs. The minimum cost is $ ?.
(Simplify your answers. Type integers or fractions.)
The cost function, C(x) = x² - 20·x + 340, where x is the units sold, indicates;
The person should sell 10 units of tacos to minimize the costs. The minimum cost is $240
What is a function in mathematics?A function is the definition of the relationship between the input and output variables of an ordered pair, such that each input has one output.
The daily cost function for the sale of Tacos is, C(x) = x² - 20·x + 340
Where;
C(x) = The cost of selling x tacos
x = The number of units of tacos sold
The function in the question is a quadratic function and the positive coefficient of x² indicates that the graph of the function which is a parabola, is concave upwards.
The vertex of the parabola, of the equation, f(x) = a·x² + b·x + c, is at the point where, x = b²/(2·a)
Comparison with the equation, C(x) = x² - 20·x + 340, indicates that we have;
a = 1
b = -20
c = 340
The x-coordinate of the vertex, which is the minimum point of a concave up parabola is; x = (20)/(2×1) = 10
The number of units sold that yields minimum cost is; x = 10
The number of units the person should sell to minimize the cost is 10.
The minimum cost is therefore;
C(10) = 10² - 20 × 10 + 340 = 240
The minimum cost is $240
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Manny jogged 5 laps in 15 minutes. On Sunday, he jogged 8 laps in 24 minutes. Determine the relationship is proportional and find unit rate
Answer:
proportional, unite rate = 3
Step-by-step explanation:
15 : 5 = 3
24 : 8 = 3
Select the graph that correctly illustrates the solution to x<11
Answer: C
Because X is less than or equal to 11 the number line can include 11 and because its less than the arrow should be decreasing or going towards negative infinity
f ( x) = 24x 3 + Ax 2 − 3x + B where A and B are constants. When f ( x) is divided by (2x − 1) the remainder is 30 (a) Show that A + 4B = 114
The function [tex]24x^{3}[/tex] + [tex]Ax^{2}[/tex] -3x + B results to the equation A + 4B = 114 hen f(x) is divided by (2x - 1) and with a remainder 30.
What is a remainder?The Remainder is the value left after the division. If a number (dividend) is not completely divisible by another number (divisor) then we are left with a value once the division is done. This value is called the remainder.
For example, 10 is not exactly divided by 3. Since the closest value, we can get 3 x 3 = 9.
Hence, 10 ÷ 3 → 3 R 1, where 3 is the quotient and 1 is the remainder.
if ( 2x - 1) divides [tex]24x^{3}[/tex] + [tex]Ax^{2}[/tex] -3x + B with a remainder 30, it means if x = 1/2 when substituted should give 30.
The substitute x = 1/2 into the given function and equate it to 30
24[tex](\frac{1}{2}) ^{3}[/tex] + A[tex](\frac{1}{2}) ^{2}[/tex] - 3(1/2) + B = 30
24[tex](\frac{1}{8})[/tex] + A[tex](\frac{1}{4})[/tex] - 3/2 + B = 30
3 + A/4 -3/2 + B = 30
multiply through by 4
12 + A -6 + 4B = 120
keeping A + 4B at the left we have
A + 4B = 120 -12 + 6
A + 4B = 114
Proved
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evaluate (−2)^4 - 2.5²
Answer:
9.75
Step-by-step explanation:
[tex](-2)^{4}[/tex] - [tex]2.5^{2}[/tex] Means
(-2)(-2)(-2)(-2) - (2.5)(2.5)
16 - 6.25
9.75
write an equation of the passing through the point (4,-1) and perpendicular to line y=2x-5
Answer: Line perpendicular to y = 2x - 5 is y = (-1/2)x.
Step-by-step explanation:
A line that includes the points (n, -9) and (5, 7) has a slope of 8. What is the value of n
n =
Submit
K!
Value of n is 3 when a line that includes the points (n, -9) and (5, 7) has a slope of 8.
Define slope.A line's steepness is indicated by its slope. Any line's slope is constant along its length. The direction of the line on the coordinate plane can also be determined by the slope. A line's graph can be used to determine slope, or the coordinates of any two points on a line can be used.
Given,
Slope = 8
Points = (n,-9) and (5,7)
Formula:
Slope = y₂ - y₁/ x₂ - x₁
8 = 7 -(-9)/ 5-n
Cross multiplying,
8(5 - n) = 7 +9
(5-n) = 16/8
5 -n = 2
n = 3
Value of n is 3 when a line that includes the points (n, -9) and (5, 7) has a slope of 8.
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In a class A of 25 students, 20 passed with 60% or more marks; in another class B of 30 students, 24 passed with 60% or more marks. In which class was a greater fraction of students getting with 60% or more marks?
Answer:
class A .................
A number y added to 2 is greater than y
Answer:
y+2>y
Step-by-step explanation:
Well, first of all. Adding any sum to y makes it greater then the same variable.
Greater than sign is >. Keeping that in mind now add them. y+2>y is gonna be you’re final answer!
Tresa received a magical time machine for her birthday. Below is the number of years she went back in time each of the nine times that she used the time machine. Using the data, create a histogram.
In the picture we can see the histogram of the data.
1 2/3, 2 and 3 1/3 lies in between [0,4] so, 3 number.
6 2/3, 7 5/6, 5 1/3, 5 1/2 and 6 1/6, lies in between [4,8] so, 5 number.
10 lies in between [8,12] so, 1 number.
Given that,
For her birthday, Teresa received a fantastic time machine. Each of the nine times she utilized the time machine is indicated by the number of years she travelled back in time.
We have to draw a histogram.
We can see in the table.
6 2/3, 7 5/6, 10, 5 1/3, 5 1/2, 6 1/6, 1 2/3, 2 and 3 1/3.
20/3, 47/6, 10, 16/3, 11/2, 37/6, 5/3, 2 and 10/3
6.6, 7.8, 10, 5.3, 5.5, 6.1, 1.6, 2 and 3.3
So,
1.6, 2 and 3.3 lies in between [0,4].
6.6, 7.8, 5.3, 5.5, 6.1 and 1.6 lies in between [4,8].
10 lies in between [8,12].
Therefore, In the picture we can see the histogram of the data.
1 2/3, 2 and 3 1/3 lies in between [0,4] so, 3 number.
6 2/3, 7 5/6, 5 1/3, 5 1/2 and 6 1/6, lies in between [4,8] so, 5 number.
10 lies in between [8,12] so, 1 number.
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Given that 4−4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable.
f(x)=x^4+4x^3−32x^2+128x+1024
Factor of the following polynomial function is (x-1)(x+7)(x-4+4i)(x-4-4i).
If 4-4i is a zero, then is its conjugate, 4+4i, as well.
Next 4-4i and 4+4i are zeros, this means that
x^4-2x^3-23x^2+248x-224=(x-4+4i)(x-4-4i)g(x), (A)
where g(x) is a degree 2 polynomial.
Since (x-4+4i)(x-4-4i)=x^2-8x+32,(A) is equivalent to
x^4-2x^3-23x^2+248x-224=(x^2-8x+32)g(x) (B)
Now dividing the LHS of (B) by x^2-8x+32 you find that g(x)=x^2+6x-7.
So,
x^4-2x^3-23x^2+248x-224=(x^2-8x+32)(x^2+6x-7) (C)
It is easy to see that x^2+6x-7=(x-1)(x+7).
Finally, you get
x^4-2x^3-23x^2+248x-224=(x-1)(x+7)(x-4+4i)(x-4-4i)
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Explain how you could estimate 22% of 78 to check if your answer is reasonable.
17.16 is the estimated 22% of 78.
What is estimation?
To make calculations simpler and more realistic, estimation of a number refers to a plausible assumption of the actual value.
Estimation is the process of approximating a quantity with the necessary accuracy.
The result is quickly and roughly determined by rounding off the numbers used in the calculation.
Assumedly, 22% of 78.
78 comes out to 80.
Therefore, cut 22% to 1/5.
78 through 80 is increased.
80/5 = 16( close to 17.16) ( approximate to 17.16)
Or
22% = 22/100
22% of 78 = 22 × 78 /100 = 1716/100
= 17.16.
As a result, 17.16 is the estimated 22% of 78.
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An oil tanker ruptures at 12:00 AM and leaks oil at
the rate R(t) =[tex]\sqrt{t}[/tex] barrels of oil per minute where t is the
number of minutes past 12:00 AM. Specialized divers repair
the rupture in 20 minutes, completely stopping the leakage
at 12:20 AM. How many barrels of oil were leaked in total?
Answer:
R = 4.47
Step-by-step explanation:
Simply just R = sqrt(20)
A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground with an initial velocity of 40 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=-16 t^2+40 t+7. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket
Answer:
The maximum height of the rocket with respect to the ground can be obtained by evaluating the function h(t) for a time of 1.25 seconds. The rocket reaches a maximum height of 32 ft.
Exactly seventy-five percent of the members of a club fill exactly 5/6 of the chairs in the room. The smallest possible number of people in the club is
Please include steps <3
Answer:
20
Step-by-step explanation:
Let x = number of members.
Let y = number of chairs.
75% of x = 5/6 of y
3x/4 = 5y/6
x/y = 5/6 × 4/3
x/y = 20/18
x/y = 10/9
The ratio of members to chairs is 10/9.
We need the smallest numbers in the ratio of 10/9 for which 75% of the first number and 5/6 of the second number are whole numbers.
Try 10:9; 75% of 10 = 7.5; not a whole number
Try 20/18; 75% of 20 = 15; 5/6 of 18 = 15 both whole number. This is the answer.
Answer: 20
The smallest possible number of people in the club is 20
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Let x = number of members.
Let y = number of chairs.
Therefore,
75% of x = 5/6 of y
3x/4 = 5y/6
x/y = 5/6 × 4/3
x/y = 20/18
x/y = 10/9
The ratio of members to chairs is; 10/9.
We want the smallest numbers in the ratio of 10/9 for which 75% of the first number and 5/6 of the second number are whole numbers.
10:9;
75% of 10 = 7.5; not a whole number
20/18;
75% of 20 = 15;
5/6 of 18 = 15 both whole number.
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In interval notation 6< x < 7 is written as
The interval notation of the inequality 6<x<7 is:
(6,7)
Given the inequality is:
6<x<7
the interval notation is:
(6,7)
The leftmost number of the set, a comma, and the rightmost number of the set are written using interval notation. Depending on whether those two integers are part of the set, we either place parentheses around the pair or square brackets around it (sometimes we use one parenthesis and one bracket!).
Hence we get the required interval notation.
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If W (-10,4),X(-3,-1)and Y (-5,11) classify angle WXY by its sides
*round to the nearest tenth*
please be sure of answer because i tried other answers people gave and they were wrong
The triangle WXY an isosceles obtuse triangle and ∠WXY is an obtuse angle
What Is an Isosceles Triangle?
A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.
The three types of Isosceles Triangles are :
Isosceles acute triangleIsosceles right triangleIsosceles obtuse triangleGiven data ,
Triangle WXY with vertices
W ( -10 , 4) , X ( -3 , -1 ) and Y ( -5 , 11 )
From the coordinates , we can see that
Now ,
When two points are given P( x₁ , y₁ ) and Q( x₂ , y₂ ) , the distance between the two points is given by distance formula
D = √( x₂ - x₁)² + ( y₂ - y₁)²
So , length of WX = √( -3 - (-10) )² + ( -1 - 4 )²
WX = √( 49 + 25 )
WX = √74
WX ≈ 8.60
So , Length of WX = 8.6 units
And , Length of XY is given by
XY = √ ( -5 - (-3) )² + ( 11 - (-1) )²
XY = √ ( 4 + 144 )
XY = √ 148
XY ≈ 12.16
So , length of XY = 12.2 units
And , Length of YW is given by
YW = √( -5 - (-10) )² + ( 11 - 4 )²
YW = √( 25 + 49 )
YW = √74
YW ≈ 8.60
So , length of YW is 8.6 units
So , WX = YW
Since , the length of WX and YW are the same , we have 2 sides with equal length and therefore the triangle WXY is an isosceles triangle
And the ∠WXY can be obtuse because of the two equal sides and the base is of larger length and hence the triangle WXY is an Isosceles obtuse triangle
An isosceles obtuse triangle is a triangle in which one of the three angles is obtuse (lies between 90° and 180°), and the other two acute angles are equal in measurement.
Hence , The triangle WXY an isosceles obtuse triangle and ∠WXY is an obtuse angle
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