order the values from least to greatest

Answer:

v= BH

the second part is wrong the base is 7.5 not 9.5

so the base look like this

v = 7.5(13)

v = 97.5

Step-by-step explanation:

Answer:

area =  2348 ft^2

Step-by-step explanation:

(15 x 40) + (28x40) + Pi(20^2)(0.5) = area

area = 600 + 1120 + 628 = 2348 ft^2

Answer:

Step-by-step explanation:

So we have a half circle, a rectangle, and a triangle.

circle area is A=3.14r^2 and the radius is 40/2=20, since we only have half a circle

A=3.14(20^2)/2=628ft^2

The rectangle has an area A=LW=28(40)=1120ft^2

The triangle has area A=bh/2=40(15)/2=300ft^2

So the total area is

A=628+1120+300=2048ft^2

Answer:

no the relation is not a function because it has -2 for two functions its supposed to be 1 input and 1 output

Step-by-step explanation:

Answer:

The vector equation

\(r = (2 + 3t)i+ (2.4 + 2t)j+ (3.5 - t)k\)

The parametric equation

\(x = 2 + 3t\\y = 2.4 + 2t\\z = 3.5-t\)

Step-by-step explanation:

Given

\(Point = (2,2.4,3.5)\)

\(Vector = 3i + 2j - k\)

Required

The vector equation

First, we calculate the position vector of the point.

This is represented as:

\(r_0 = 2i + 2.4j + 3.5k\)

The vector equation is then calculated as:

\(r = r_o + t * Vector\)

\(r = 2i + 2.4j + 3.5k + t * (3i + 2j - k)\)

Open bracket

\(r = 2i + 2.4j + 3.5k + 3ti + 2tj - tk\)

Collect like terms

\(r = 2i + 3ti+ 2.4j + 2tj+ 3.5k - tk\)

Factorize

\(r = (2 + 3t)i+ (2.4 + 2t)j+ (3.5 - t)k\)

The parametric equation is represented as:

\(x = x_0 + at\\y = y_0 + bt\\z = z_0 + ct\)

Where

\(r = (x_0 + at)i +(y_0 + bt)j+(z_0 + ct)k\)

By comparison:

\(x = 2 + 3t\\y = 2.4 + 2t\\z = 3.5-t\)

The solution of 2³ + 7 x 4 using PEDMAS is 36.

According to the PEMDAS rule, the computation wrapped in brackets or the parenthesis comes first in the order of operation. Exponents (degrees or square roots) are then operated on, followed by multiplication and division operations, and finally addition and subtraction.

Given:

2to the 3rd power +7 x 4

The mathematical expression is

= 2³ + 7 x 4

We know by PEDMAS rule is one of the rules which is exactly equal to BODMAS rule. The full form of PEMDAS is given below:

P – Parentheses  [{()}]

E – Exponents (Powers and Roots)

MD- Multiplication and Division (left to right) (× and ÷)

AS – Addition  and Subtraction (left to right) (+ and -)

According to the rule

2³ + 7 x 4

= 8 + 7 x 4

= 8 + 28

= 36

Hence, the answer is 36.

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The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

The Lucas sequence or Lucas series are an integer sequence named after the mathematician francois Edouard Lucas, which are similar to the Fibonacci numbers, each Lucas number is defined to be the sum of its two immediate previous terms, thereby forming a fibonacci integer sequence.

Now, the sequence of first 10 numbers of Fibonacci series are-

0, 1, 1 ,2, 3, 5, 8, 13, 21, 34

which are defined as set of integers that starts with zero, followed by a one,then by another one and then by series of steadily increasing numbers,The sequence follow the rule that each number is equal to the sum of preceding two numbers.

And the sequence of Lucas sequence is -

2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

which is definedas  the sum of its two immediate previous terms.

The Lucas number may thus be defined as follows;

Ln =    \(\left \{ {{2} ; if n= 0 \atop {1}; if n = 1} \right.\)

Here we can see that Lucas series starts with 2 and 1 whereas Fibonacci series starts with 0 and 1.

Hence,The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

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Answer:

First question is 810

Second question is 6,064

Third question is 51,841

Fourth question is 764

Fifth question is n x 7

Sixth question is 3/4 equals 1/4 + 1/4 + 1/4

Seventh question is 1/7 + 1/7 + 1/7 + 1/7 + 1/7

Step-by-step explanation:

Answer:

900/90=10

2486+3578=6064

823*63=51849

3820/5=764

4=28

15=105

3/4=1/4+1/4+1/4

5/7= 1/7+1/7+1/7+1/7+1/7

The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3

The pattern in the question is given as

1.3, 8.3, 27.3, 64.3,…

In the above expressions and pattern, we can see that

From the above, we have the following

Current term = (n)³.3

Note that the decimal does not represent product

And also the pattern is a geometric sequence

Hence, the pattern for the sequence is f(n) = (n)³.3

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\(3x+y=8\) find y when x is 2

Substitute 2 for x:

\(3(2)+y=8\)

Rewrite/Simplify:

\(y+6=8\)

Subtract 6 from both sides:

\(y+6-6=8-6\)

\(\fbox{y = 2}\)

Here is the table of the number of baseball cards for 0 to 4 packages and their corresponding ordered pairs:

Number of Packages, x | Number of Cards, y | Ordered Pair (x, y)

0 | 0 | (0, 0)

1 | 10 | (1, 10)

2 | 20 | (2, 20)

3 | 30 | (3, 30)

4 |40 | (4, 40)

To plot these points in the coordinate plane, we can use the horizontal axis for the number of packages (x) and the vertical axis for the number of cards (y), with each unit representing 1 package or 10 cards. Here is the plot:

|

50 |

45 |

40 ● (4, 40)

35 |

30 ● (3, 30)

25 |

20 ●(2, 20)

15 |

10 ● (1, 10)

5 |

0 ● (0, 0)

--------------

0 1 2 3 4

As we can see from the plot and the table, the relationship between the coordinates of the ordered pairs is linear, with the number of cards increasing by 10 for each additional package.

Specifically, the relationship can be described by the equation y = 10x, where y is the number of cards and x is the number of packages. This means that the slope of the line connecting any two points is always 10, and the y-intercept is 0.

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The probability that a gorilla in this particular zoo will live between 14.3 and 19.4 years is 86% (or 0.86)

From the Empirical Rule, for a Normal Distribution, approximately:

68% of the data falls within one standard deviation of the mean

95% of the data falls within two standard deviations of the mean

99.7% of the data falls within three standard deviations of the mean

To estimate the probability of a gorilla living between 14.3 and 19.4 years, we first need to standardize these values by subtracting the mean and dividing by the standard deviation:

For 14.3 years: (14.3 - 16) / 1.7 = -1.18

For 19.4 years: (19.4 - 16) / 1.7 = 2

Now we can use a standard normal distribution table to find the probabilities associated with these z-scores:

The probability of a gorilla living less than 14.3 years is approximately the same as the probability of a standard normal variable being less than -1.18, which is about 0.12.

The probability of a gorilla living less than 19.4 years is approximately the same as the probability of a standard normal variable being less than 2, which is about 0.98.

Therefore, the probability of a gorilla living between 14.3 and 19.4 years is approximately the difference between these two probabilities: 0.98 - 0.12 = 0.86.

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The probability density function for U is: f_U(u) = (4/(1+u)^3) * e^-(1+u)/2, u > 0

The joint distribution for the length of life of two different types of components operating in a system is given by f(y_1, y_2) = {(1/8)y_1 e^-(y_1 + y_2)/2, y_1 > 0, y_2 > 0, 0, elsewhere. We are asked to find the probability density function for U = Y_2/Y_1.

To find the probability density function for U, we first need to find the joint distribution of U and Y_1. We can do this by using the change of variables formula:

f_U,Y_1(u, y_1) = f_Y_1,Y_2(y_1, uy_1) * |J|

where J is the Jacobian determinant of the transformation.

The Jacobian determinant is given by:

J = |∂(y_1, uy_1)/∂(u, y_1)| = |y_1|

So, the joint distribution of U and Y_1 is:

f_U,Y_1(u, y_1) = (1/8)y_1 e^-(y_1 + uy_1)/2 * |y_1| = (1/8)y_1^2 e^-(1+u)y_1/2

Next, we need to find the marginal distribution of U by integrating out Y_1:

f_U(u) = ∫f_U,Y_1(u, y_1) dy_1 = (1/8)∫y_1^2 e^-(1+u)y_1/2 dy_1

This integral can be solved using integration by parts. The final result is:

f_U(u) = (4/(1+u)^3) * e^-(1+u)/2

So, the probability density function for U is:

f_U(u) = (4/(1+u)^3) * e^-(1+u)/2, u > 0

This is the final answer.

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Answer:

pizza

Step-by-step explanation:

... :D

Answer: a

Step-by-step explanation:

Answer:

An x-y axis, also known as a cartesian coordinate system or a coordinate plane, is a two-dimensional plane of points defined uniquely by a pair of coordinates. ... The horizontal line, then, is known as the x axis and measures the distance left or right from the vertical line.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Hardware store:

4 bulbs = $20

1 bulb = $20 / 4 = $5

Grocery store:

6 bulbs = $24

1 bulb = $24 / 6 = $4

The difference in price = $5 - $4 = $1

The grocery store sells at the lesser price.

So, the grocery store charges $1 less per light bulb than the hardware store.

Answer:

So what's the Question Because to me it looks like something random

Step-by-step explanation:

f(x)=-1/3x-2=x

3x²-2x-1=o

(3x-1)(x+1)=o

x=1/3(or)x=-1

Answer:

A bag contains 25paise, 50 paise and Re 1 coins. There are 220 coins in all and the total amount in the bag is Rs.160. If there are thrice as many 1 Re. coins as there are 25 paise coins, then what is the number of 50 paise coins.

Step-by-step explanation:

The number of cups of milk that Minka pours as a mixed number is found in the attached image.

The total number of cups of milk that Minka pours into her oatmeal is calculated as follows:

First day = 1/4

Second day = 1/4 + 1/4

Second day = 2/4

Third day = 1/4 + 2/4

Third day = 3/4

Fourth day = 1/4 + 3/4

Fourth day = 4/4 or 1

Fifth day =  5/4 or 1/4 + 1

Fifth day = 1 1/4

Sixth day = 1/4 + 5/4

Sixth day = 1 1/2

Seventh day = 1/4 + 6/4

Seventh day = 7/4 or 1 3/4

Eight day = 1/4 + 7/4

Eight day = 8/4 or 2

The completed number line is found in the attached image

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Answer:

Both boats will be 54 miles apart after 3 hours.

Step-by-step explanation:

Given that from a point on a river, two boats are driven in opposite directions, one at 7 miles per hour and the other at 11 miles per hour, to determine how many hours they will be 54 miles apart, the following calculation must be performed :

54 / (11 + 7) = X

54/18 = X

3 = X

Therefore, both boats will be 54 miles apart after 3 hours.

Answer:

The slope is -8

Step-by-step explanation:

To find the slope, we can do a very easy equation. We can do the formula

y1 - y2 / x1 - x2

We fit in all of the respective numbers to get the equation as this.

-51-(-75) / 7-10

Then, we get

24/ -3

Simple division gives us -8.

Answer:c, the answer is c

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

12:10 PM -   ( 1 + 1 ) hr = 10:10 AM    then subtract the 40 min to get 9:30 AM

The average velocity over the given time intervals [10, 11], [10, 10.5], [10, 10.1], [10, 10.01], and [10, 10.001] are -2.1425 m/s, -4.7475 m/s, -9.1260 m/s, -98.4300 m/s, and -984.3000 m/s, respectively.

A. [10, 11]: -2.1425 m/s

The average velocity over the given time interval is given by:

v_avg = (h(b)-h(a))/(b-a)

where a is the initial time and b is the final time.

In this case, a = 10 and b = 11.

Therefore,

v_avg = (h(11)-h(10))/(11-10)

   = (28×11 - 0.83×11² - (28×10 - 0.83×10²))/(11-10)

   = (-2.83)/1

   = -2.83 m/s

Rounding to four decimal places, we get the answer as -2.1425 m/s.

B. [10, 10.5]: -4.7475 m/s

The average velocity over the given time interval is given by:

v_avg = (h(b)-h(a))/(b-a)

where a is the initial time and b is the final time.

In this case, a = 10 and b = 10.5.

Therefore,

v_avg = (h(10.5)-h(10))/(10.5-10)

   = (28×10.5 - 0.83×10.5² - (28×10 - 0.83×10²))/(10.5-10)

   = (-4.83)/0.5

   = -9.66 m/s

Rounding to four decimal places, we get the answer as -4.7475 m/s.

C. [10, 10.1]: -9.1260 m/s

The average velocity over the given time interval is given by:

v_avg = (h(b)-h(a))/(b-a)

where a is the initial time and b is the final time.

In this case, a = 10 and b = 10.1.

Therefore,

v_avg = (h(10.1)-h(10))/(10.1-10)

   = (28×10.1 - 0.83×10.1² - (28×10 - 0.83×10²))/(10.1-10)

   = (-9.843)/0.1

   = -98.43 m/s

Rounding to four decimal places, we get the answer as -9.1260 m/s.

D. [10, 10.01]: -98.4300 m/s

The average velocity over the given time interval is given by:

v_avg = (h(b)-h(a))/(b-a)

where a is the initial time and b is the final time.

In this case, a = 10 and b = 10.01.

Therefore,

v_avg = (h(10.01)-h(10))/(10.01-10)

   = (28×10.01 - 0.83×10.01² - (28×10 - 0.83×10²))/(10.01-10)

   = (-9.843)/0.01

   = -984.3 m/s

Rounding to four decimal places, we get the answer as -98.4300 m/s.

E. [10, 10.001]: -984.3000 m/s

The average velocity over the given time interval is given by:

v_avg = (h(b)-h(a))/(b-a)

where a is the initial time and b is the final time.

In this case, a = 10 and b = 10.001.

Therefore,

v_avg = (h(10.001)-h(10))/(10.001-10)

   = (28×10.001 - 0.83×10.001² - (28×10 - 0.83×10²))/(10.001-10)

   = (-9.843)/0.001

   = -9843 m/s

Rounding to four decimal places, we get the answer as -984.3000 m/s.

Hence,

A. -2.1425 m/s

B. -4.7475 m/s

C. -9.1260 m/s

D. -98.4300 m/s

E. -984.3000 m/s

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The average velocity over the given time intervals [10, 11] will be -2.83 m/s, [10, 10.5] will be -9.66 m/s, [10, 10.1] will be -98.43 m/s, [10, 10.01] will be -984.3 m/s, and [10, 10.001] will be -9843 m/s

A. The given time interval is: [10, 11]

The average velocity throughout the specified time span may be calculated as follows:

\(v_avg = (h(b)-h(a))/(b-a)\)

where a is the initial time and b is the final time.

In this case, a = 10 and b = 11.

Therefore, the value of the average velocity will be

v_avg = (h(11)-h(10))/(11-10)

= (28×11 - 0.83×11² - (28×10 - 0.83×10²))/(11-10)

= (-2.83)/1= -2.83 m/s

B. The given time interval is: [10, 10.5]

The average velocity throughout the specified time span may be calculated as follows:

v_avg = (h(b)-h(a))/(b-a)

where a is the initial time and b is the final time.

In this case, a = 10 and b = 10.5.

Therefore,

v_avg = (h(10.5)-h(10))/(10.5-10)

= (28×10.5 - 0.83×10.5² - (28×10 - 0.83×10²))/(10.5-10)

= (-4.83)/0.5

= -9.66 m/s

C. The given time interval is: [10, 10.1]

The average velocity throughout the specified time span may be calculated as follows:

v_avg = (h(b)-h(a))/(b-a)

where a is the initial time and b is the final time.

In this case, a = 10 and b = 10.1.

Therefore,

v_avg = (h(10.1)-h(10))/(10.1-10)

= (28×10.1 - 0.83×10.1² - (28×10 - 0.83×10²))/(10.1-10)

= (-9.843)/0.1= -98.43 m/s

D. The given time interval is: [10, 10.01]

The average velocity throughout the specified time span may be calculated as follows:

where a is the initial time and b is the final time.

In this case, a = 10 and b = 10.01.

Therefore,

v_avg = (h(10.01)-h(10))/(10.01-10)

= (28×10.01 - 0.83×10.01² - (28×10 - 0.83×10²))/(10.01-10)

= (-9.843)/0.01 = -984.3 m/s

E. The given time interval is: [10, 10.001]

The average velocity throughout the specified time span may be calculated as follows:

v_avg = (h(b)-h(a))/(b-a)

where a is the initial time and b is the final time.

In this case, a = 10 and b = 10.001.

Therefore,

v_avg = (h(10.001)-h(10))/(10.001-10)

= (28×10.001 - 0.83×10.001² - (28×10 - 0.83×10²))/(10.001-10)

= (-9.843)/0.001= -9843 m/s

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he two numbers that multiply to -35 and add to get -18 are -5 and 3.

To see why, you can use the factoring method. First, find two numbers that multiply to give you -35. The factors of -35 are -1, 1, -5, and 5. So, the two numbers that multiply to -35 are either -5 and 7 or 5 and -7.

Next, find which pair of numbers adds up to -18. It's clear that 5 and -7 add up to -2, so they don't work. However, if we choose -5 and 3, we get:

-5 + 3 = -2

So, -5 and 3 are the two numbers that multiply to -35 and add to -18.

Answer:

-30f - 32

Step-by-step explanation:

-6(7f+4) + -6(-2f + 3)

-42f+-24+12f+-18

-30f + -32

Answer:

-30f - 42

Step-by-step explanation:

-6(7f + 4) - 6(-2f + 3)

-42f - 24 +12f - 18

-42f - 42 + 12f

-30f - 42

Hope this helps!

Cramer's rule is a method of calculating the solution to a system of linear equations by finding the "Quotient" of the determinants.

Hence, option (a) is correct choice.

Cramer's rule is one of the most significant strategies for solving a system of equations. The values of the system's variables are to be computed using determinants of matrices in this technique. As a result, Cramer's rule is frequently referred to as the determinant technique.

If unique solutions exist, this approach is utilized to find them. Cramer's rule cannot be used if the determinant of the coefficient matrix is zero.

To use Cramer's Rule to solve a system of three equations in three variables, substitute a variable column with the constant column for each desired solution: x=DxD, y=DyD, z=DzD.

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The missing option be:

(a) Quotient

(b) Divisor

(c) Factor

(d) Multiple

Answer:

Step-by-step explanation:

the representation given is a function,

because each input has exactly one output.