1 km = 1000 m, so:
23,769 km = 23,769 · 1000 m = 23 769 m
Answer:
23769m
Step-by-step explanation:
Basicly, 3.769x 1000= 23769m
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3) The radius of a spherical bouncy ball is 4 centimeters.
Approximately, how much air does the bouncy ball hold?
Need this asap!!!
Answer:
4^3 air
Step-by-step explanation:
Leon has a container filled with 450 grams of tea leaves. Each morning, he uses 3 grams to make a cup of tea. Which expression can be used to represent the amount of tea leaves remaining after x days?
A. 450 – 3x
B. 450 + 3x
C. 3 + 450x
D.3 – 450x
Answer:
(A) 450-3x
Step-by-step explanation:
Cuz I know the answer.
What is the distance from –8 to 4 on a number line?
Answer:
13 away
i used my fingers
Answer:
12
Step-by-step explanation:
-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4
Just count he bottom lines
I need help please.
Answer:
∠W = 81°
Step-by-step explanation:
Triangle OGD is isosceles, so angle OGD has the same measure as angle ODG, 17°.
Triangle OGF is isosceles, so angle OGF has the same measure as angle OFG, 49°.
Angle DGF is the difference between angle OGF and angle OGD:
∠DGF = 49° -17° = 32°
External angle W is equal to the sum of remote internal angles DGF and OFG:
∠W = 32° +49°
∠W = 81°
PLEASE HELP FAST!!!! IT IS URGENT!!!!!
A company executive claims that employees in his industry get 100 junk emails per day. to further investigate this claim, the tech department of the company conducts a study. the executive selects a random sample of 10 employees and records the number of junk emails they received that day. here are the data: 125, 101, 109, 94, 122, 92, 119, 90, 118, 122. the tech department would like to determine if the data provide convincing evidence that the true mean number of junk emails received this day by employees of this company differ from 100. they decide to carry out a test of h0: μ = 100 versus ha: μ ≠ 100, where μ = the true mean number of junk emails received this day by employees of this company. what conclusion should be made? use .
a. because the p-value is less than 0.05, the null hypothesis should be rejected.
b. because the p-value is greater than 0.05, the null hypothesis should be rejected.
c. because the p-value is less than 0.05, the null hypothesis should not be rejected.
d. because the p-value is greater than 0.05, the null hypothesis should not be rejected.
Answer:
The correct answer is c. because the p-value is less than 0.05, the null hypothesis should not be rejected.
This means that the data provide insufficient evidence to suggest that the true mean number of junk emails received this day by employees of this company differs from 100.
The amount of laps remaining, y, in a swimmer's race after x minutes can be represented by the graph shown.
coordinate grid with the x axis labeled time in minutes and the y axis labeled number of laps remaining with a line from 0 comma 30 to 10 comma 0
Determine the slope of the line and explain its meaning in terms of the real-world scenario.
The slope of the line is negative one third, which means that the swimmer completes a lap in one third of a minute.
The slope of the line is −3, which means that the swimmer will complete 3 laps every minute.
The slope of the line is 10, which means that the swimmer will finish the race after 10 minutes.
The slope of the line is 30, which means that the swimmer must complete 30 laps in the race.
The given slope of the graph is explaining about the swimmer's lap completion throughout the time of 10 minutes.
In the given graph on the x-axis, we can find the time (in minutes) of 10 minutes.
On the y-axis, the graph represents the number of laps the swimmer is completing.
When we observe closely, the slope is giving very important information. At initial time=0, the no. of laps remaining for swimmer is 30. We can show this data clearly as below:
Number of laps remaining----------Time (in minutes)
30 --- 0
27 --- 1
24 --- 2
21 --- 3
18 --- 4
15 --- 5
12 --- 6
9 --- 7
6 --- 8
3 --- 9
0 --- 10
From the above slope data, we can conclude that for every 1 minute of time elapsing, the swimmer is completing 3 laps.
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17. 17. The scores for a math test are shown below, ordered from smallest to largest. 60 61 62 63 63 64 64 65 66 66 66 69 72 72 72 74 75 80 82 84 86 86 87 87 89 89 90 93 94 98 Fill out the stem and leaf plot below for this data. Enter the leaves separated by commas (ex: 1,1,2,3). Stems Leaves
Answer:
Filling the values we have;
Explanation:
Given the data on the given table, we want to fill them in a stem leaves plot.
The tens values would be in the stems while the unit values will be written in their corresponding leaves.
Filling the values we have;
Kim creates a model of a building. The scale of her model building is 1 foot to inch. Some of the measurements are
shown in the table
Enter numbers in the empty boxes to correctly complete the table.
Building (feet) Model (inches)
Height
128
Length of Base
Width of Base
80
6.25
Answer:
height: 16 inch
length of base: 10 inch
width of base: 50 feet
Step-by-step explanation:
128*(1/8)=16 inch
80*(1/8)=10 inch
x*1/8=6.25
x=6.25*8=50 feet
The height and length of the model will be 16 in and 10 in respectively, and the width of the building will be 50 feet.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Given that, the scale factor of the building and a model of it is 1/8.
Height of the model = 128/8 = 16 in
Length of the model = 80/8 = 10 in
Width of the model = 6.25*8 = 50
Hence, The height and length of the model will be 16 in and 10 in respectively, and the width of the building will be 50 feet.
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Select the best real-world situation that can be represented by 15 + c = 19.50. Then solve the equation and describe what your answer represents for the problem situation.
A Mary wants to buy flowers and perfume. She has $19.50 to spend but has already spent $15 on perfume. How much does she have left to spend on flowers?
B Rachel earns $15 per hour. How long does it take her to earn $19.50?
C Sarah has $15 in her checking account but has written a check for $19.50. How much is she overdrawn?
D Jane has $19.50 to spend. How many roses can she buy if they are $15 each?
Answer:
a
Step-by-step explanation:
15+c=19.50
c=19.50-15
=4.5
Answer:
A) She has left $4.50 to spend on flowers.
Step-by-step explanation:
15+c=19.50
c=19.50-15=4.50
simplify 3 + [5n - (2-n)]
Answer:
6n+1
Step-by-step explanation:
Eliminate the parenthesis by changing the symbol of each term inside
3+[5n-2+n]
Eliminate the bracket and group similar terms
5n+n+3-2
Simplify terms
6n+1
Solve.
log3 (2x + 5) = 3
Enter your answer in the box.
X = ?
Answer:
x = 11
Step-by-step explanation:
using the rule of logarithms
\(log_{b}\) x = n ⇒ x = \(b^{n}\)
given
\(log_{3}\) (2x + 5) = 3 , then
2x + 5 = 3³ = 27 ( subtract 5 from both sides )
2x = 22 ( divide both sides by 2 )
x = 11
Each volleyball set costs $63.74.
Which equation represents the cost, c, of n sets?
The equation that represents the cost, c, of n sets is c = 63.74n
Which equation represents the cost, c, of n sets?from the question, we have the following parameters that can be used in our computation:
Each volleyball set costs $63.74.
Let the total number of sets be n
So we have
Cost of n = 63.74 * n
This gives
c = 63.74n
Hence, the equation is c = 63.74n
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A circle has a radius of 30 cm and a central angle that measures 312 degrees. Find the length of the arc defined by this central angle
The length of the arc defined by the central angle of 312 degrees is 26π cm.
The formula for the arc length of a circle is given by:
L = (θ/360) × 2πr
where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.
Substituting the given values, we get:
L = (312/360) × 2π(30)
L = (26/30) × π × 30
L = 26π cm
Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.
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Proceed as in Example 3 of Section 4.10 and obtain the first six nonzero terms of a Taylor series solution, centered at 0, of the given initial-value problem y" = x + y2, y(0) = 1, y'(0) = 1 y = ____
The first six terms of the Taylor series solution, centered at 0, of the given initial-value problem is y(x) = 1 + x + 1/2x² + 1/2x³ + 1/6x⁴ + 1/10x⁵+...
A function's Taylor series is an infinite sum of terms with each subsequent term having a bigger exponent, such as x, x2, x3, etc., and being stated in terms of the function's derivatives at any given point. In order to represent the Taylor series mathematically, the Taylor series formula is useful.
Using the derivatives of the function, the Taylor series formula aids in expanding a function around a value of the variable. s and be as ly,,,, texturs in a l
x a = f(x) = f(a) + f'(a)
y" = x + y²
y"' = 1 + 2yy'
y"" = 2(yy" + (y')²)
y""' = 2(yy"' + y'y" + 2y'y")
= 6y'y" + 2yy"
Now, y(0) = 1 and y'(0) = 1
y"(0) = 0 + y(0)² = 1
y"'(0) = 1 + 2y(0)y'(0) = 3
y"" = 2(y(0)y"(0) + (y'(0))²) = 4
y""' = 2(y(0)y"'(0) + y'(0)y"(0) + 2y'(0)y"(0)) = 12
Substitute these values in above equation :
so, first six terms of the Taylor's series
y(x) = 1 + x + 1/2x² + 1/6(3x³) + 1/4(24x⁴) + 1/120(12x⁵)+....
y(x) = 1 + x + 1/2x² + 1/2x³ + 1/6x⁴ + 1/10x⁵+.....
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which is not a common multiple of 4 and 9
5 I think.
Step-by-step explanation:
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 83 and standard deviation σ = 27. Note: After 50 years of age, both the mean and standard deviation tend to increase.
1. For an adult (under 50) after a 12-hour fast, find the probability that x is between 60 and 110. (Round your answers to four decimal places.)
Answer:
The probability that x is between 60 and 110.
P(60 < x<110) = 0.6436
Step-by-step explanation:
Step( i ) :-
Given data the random variable 'X' will have a distribution that is approximately normal with mean μ = 83 and standard deviation σ = 27.
Mean of the Population 'μ' = 83
Standard deviation of the Population 'σ' = 27.
Step(ii):-
Given X =60
\(Z_{1} = \frac{x-mean}{S.D} = \frac{60-83}{27} = -0.851\)
Step(iii):-
Given X = 110
\(Z_{1} = \frac{x-mean}{S.D} = \frac{110-83}{27} = 1\)
The Probability that between 60 and 110
P(60 < x<110) = P( -0.851 < z< 1)
= P( Z≤1) - P(Z≤ -0.851)
= (0.5 + A(1)) - (0.5- A(-0.851))
= (0.5 +0.3413)- (0.5 - 0.3023) ( check normal table yellow mark)
= 0.8413 - 0.1977
P(60 < x<110) = 0.6436
Final answer:-
The probability that x is between 60 and 110.
P(60 < x<110) = 0.6436
Amy, Ray, Kim, and Jamal are on a trivia team. They gain points for correct answers
and lose points for incorrect answers. During the contest, Amy gains 3 points, Ray loses
4 points, Kim loses 2 points, and Jamal gains 5 points. How many points does the team
have at the end of the contest?
Answer:
2 points
Step-by-step explanation:
0+3-4-2+5=2 points
How many shapes can you make by taking plane sections from a sphere?
Answer:
One.
Step-by-step explanation:
Every possible plane section of a sphere will produce a circle.
tan(x-1) ( sin2x-2cos2x) = 2(1-2sinxcosx)
The equation is proved.
G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)
We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)
in the given equation, we get
\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)
\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)
\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)
\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)
\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)
`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)
For `LHS`, using identity
\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)
\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)
\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)
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Approximate the value of 5(pi)
A)Slightly more than 20
B)Slightly less than 15
C)Slightly more than 15
D)Slightly less than 20
Answer: C
Step-by-step explanation: 5pi converts to 15.70796
Answer:
slightly less than 15 of b.
An unknown number y is 15 more than an unknown number x. The number y is also x less than 8. The equations to find x and y are shown below. y = x + 15 y = −x + 8 Which of the following statements is a correct step to find x and y? (4 points) a Multiply the equations to eliminate y. b Add the equations to eliminate x. c Write the points where the graphs of the equations intersect the x-axis. d Write the points where the graphs of the equations intersect the y-axis.
Then x = -3.5, correct step to find x and y is to add the equations to eliminate x.
To find the values of x and y from the given equations, we need to use a method to eliminate one of the variables. In this case, we can use the method of adding the equations to eliminate x. Adding the two equations gives us:
y + y = x + 15 - x + 8
Simplifying the above equation gives us:
2y = 23
Therefore, y = 11.5
Substituting the value of y in any of the given equations, we can find the value of x. Using the equation y = x + 15, we have:
11.5 = x + 15
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a company promises to release a new smart jp home model every month. each models battery life will be 4% longer than the previous models. if the current models battery life is 697.0 minutes, what will be the latest models battery life be in 7 months
The battery life of the latest model after 7 months would be approximately 828.402 minutes.
How to determine what will be the latest models battery life be in 7 monthsThe battery life increment is 4% longer than the previous model.
To calculate the battery life for each month, we can multiply the battery life by 1.04.
Starting with the initial battery life of 697.0 minutes, we can calculate the battery life after 7 months as follows:
697.0 * (1.04)^7
Using a calculator, we can evaluate this expression:
697.0 * (1.04)^7 ≈ 828.402.
Therefore, the battery life of the latest model after 7 months would be approximately 828.402 minutes.
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ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answer:
c.
Step-by-step explanation:
2log12 3 + 4log12 2 simplifying
Hello, I was happy to solve the problem. If you find a bug, post in the comments or click on the report, I will see it and try to fix it as soon as possible.
The answer to this problem: 2
Someone pls help me out thanks
Answer:
C(7,-8)
R= 8
The general formula of a circle = (x-a)+(y-b)=r²
Find the horizontal asymptotes: y=2x^2/3x^3 You must show your work and enter your answer below.
Answer:
y = 0
Step-by-step explanation:
You want the horizontal asymptote of y=2x^2/3x^3.
Horizontal asymptoteDegree of numerator: 2
Degree of denominator: 3
When the degree of the denominator (3) is greater than the degree of the numerator (2), the horizontal asymptote is ...
y = 0
__
Additional comment
This reduces to (2/3)(1/x). The value of 1/x approaches zero when the magnitude of x gets large.
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what is the value of 18-3 k ÷9 when k=4
Answer:
16.6666666667
Step-by-step explanation:
Answer: 50/3 or 16 2/3 or 16.67
Step-by-step explanation:
Given
18-3k÷9
Substitute [k] value into the given expression
18-3k÷9
=18-3(4)÷9 ⇒ Substitute the value
=18-12÷9 ⇒ Expand the parenthesis
=18-4/3 ⇒ First do division
=54/3-4/3 ⇒ Convert an integer into a fraction
=50/3=16 2/3=16.67
Hope this helps!! :)
Please let me know if you have any questions
Explain why the probability of rolling a sum from 2 to 12 is 100%. [C:2]
The probability of rolling a sum from 2 to 12 on 2 dices is 100%
Given the data,
The two dice should be rolled.
Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).
The resultant 36 results are as follows:
1-1, 1-2, 1-3, 1-4, 1-5, 1-6
2-1, 2-2, 2-3, 2-4, 2-5, 2-6
3-1, 3-2, 3-3, 3-4, 3-5, 3-6
4-1, 4-2, 4-3, 4-4, 4-5, 4-6
5-1, 5-2, 5-3, 5-4, 5-5, 5-6
6-1, 6-2, 6-3, 6-4, 6-5, 6-6
When using two dice, there are a total of 36 possibilities that might occur.
As a result, the results' total ranges from 2 to 12.
Hence , the probability is 100 %
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in exercises 15-20 find the vector component of u along a and the vecomponent of u orthogonal to a u=(2,1,1,2) a=(4,-4,2,-2)
Answer:
The component of \(\vec u\) orthogonal to \(\vec a\) is \(\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)\).
Step-by-step explanation:
Let \(\vec u\) and \(\vec a\), from Linear Algebra we get that component of \(\vec u\) parallel to \(\vec a\) by using this formula:
\(\vec u_{\parallel \,\vec a} = \frac{\vec u \bullet\vec a}{\|\vec a\|^{2}} \cdot \vec a\) (Eq. 1)
Where \(\|\vec a\|\) is the norm of \(\vec a\), which is equal to \(\|\vec a\| = \sqrt{\vec a\bullet \vec a}\). (Eq. 2)
If we know that \(\vec u =(2,1,1,2)\) and \(\vec a=(4,-4,2,-2)\), then we get that vector component of \(\vec u\) parallel to \(\vec a\) is:
\(\vec u_{\parallel\,\vec a} = \left[\frac{(2)\cdot (4)+(1)\cdot (-4)+(1)\cdot (2)+(2)\cdot (-2)}{4^{2}+(-4)^{2}+2^{2}+(-2)^{2}} \right]\cdot (4,-4,2,-2)\)
\(\vec u_{\parallel\,\vec a} =\frac{1}{20}\cdot (4,-4,2,-2)\)
\(\vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)\)
Lastly, we find the vector component of \(\vec u\) orthogonal to \(\vec a\) by applying this vector sum identity:
\(\vec u_{\perp\,\vec a} = \vec u - \vec u_{\parallel\,\vec a}\) (Eq. 3)
If we get that \(\vec u =(2,1,1,2)\) and \(\vec u_{\parallel\,\vec a} =\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)\), the vector component of \(\vec u\) is:
\(\vec u_{\perp\,\vec a} = (2,1,1,2)-\left(\frac{1}{5},-\frac{1}{5},\frac{1}{10},-\frac{1}{10} \right)\)
\(\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)\)
The component of \(\vec u\) orthogonal to \(\vec a\) is \(\vec u_{\perp\,\vec a} = \left(\frac{9}{5},\frac{6}{5},\frac{9}{10},\frac{21}{10}\right)\).
average person burns approximately 221 calories per half-hour while bicycling. If a person does 2 hours of bicycling per day then how many calories will they burn in a week if they work out 5 days a week?