Quadrilateral B is a scaled copy of quadrilateral A.
Its shortest side is 5 units long.
What is the scale factor from A to B?

The water level after the rainfall is 3.05m

The water level in colorado river is 2.55m below average

A larger rainfall happened and the water level rose by 0.8m

Therefore the water level after the rainfall can be calculated by adding the previous water level which is 2.55 by the new increase which is 0.8

= 2.55 + 0.8

= 3.05

Hence the water level after the rainfall is 3.05 m

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Answer:

20

Step-by-step explanation:

No, Kareem is not correct because the ratio of 4:1 can never be equal to the ratio of 12:9.

Here,

Kareem says that the ratio 4:1 is equivalent to the ratio 12:9.

Because 4+8=12 and 1+8=9.

We have to find that Kareem is correct or not.

What is a ratio?

Ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

Now,

Kareem says that the ratio 4:1 is equivalent to the ratio 12:9.

Calculate the ratio as;

12 / 9 = ( 3 x 4 ) / ( 3 x 3 ) = 4/3

So,

12 / 9 = 4 / 3

Hence, Kareem is incorrect because the ratio of 4:1 can never be equal to the ratio of 12:9.

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Answer:

x=-2, -6

Step-by-step explanation:

factor the expression

y=x^2+ 8x + 12

y= (x+2)(x+6)

set the equation equal to 0, since you are finding zeros, or solutions

0=(x+2)(x+6)

split the equation into two parts

0=(x+2) and 0=(x+6)

solve the equations

you should get 2 zeros

x=-2, -6

The water level after the rainfall in the Colorado River is 3.35 meters.

The water level after the rainfall can be determined using the mathematical operation of addition.

A mathematical operation changes the output value of some input values.

For instance, adding 0.8 to 2.55 results in 3.35 meters of the height of the Colorado River after the rainfall.

The average water level in the Colorado River = 2.55 m

Increase in water level following the large rainfall = 0.8 m

New water level after the rainfall = 3.35 M (2.55 + 0.8)

Thus, the water level after the rainfall in the Colorado River is 3.35 meters.

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Answer:

Diagonals linse

Step-by-step explanation:

The largest area of rectangle can be A= (11√11)/√2

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

Area = l × w. l = length. w = width.

Given:

y=11-x²

Consider,

x is the length of the base

y is the vertices on the curve (width)

As, the area of a rectangle with its base on the x-axis.

So, base =2x

Then Area of rectangle

A = 2x(11-x²)

Foe maximum area, dA/dx=0

dA/dx = 22-4x²

22-4x² =0

22=4x²

11/2 = x²

x=√(11/2)

Now, Put x=√(11/2) in area

A= 2*√(11/2) ( 11-11/2)

A= √22(11/2)

A= (11√11)/√2

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Answer:

- 2

Step-by-step explanation:

The output of a function is a value of f(x) for a given value for x. From the table, only - 2 matches a value of f(x) and so this is the output.

All the others are values for x so they are inputs to the function

The value of given equation i.e. [tex]m^{3} -\frac{1}{m^{3} }[/tex] is [tex]\frac{63}{8}[/tex]

Given a equation i.e.[tex]\frac{m-1}{m}[/tex]=3 and asked  to calculate the value of the equation  [tex]m^{3} -\frac{1}{m^{3} }[/tex]

To calculate the value of   [tex]m^{3} -\frac{1}{m^{3} }[/tex] , Need to use various operations like subtraction and division)

Given .[tex]\frac{m-1}{m}[/tex]=3

⇒m-1=3m ( cross multiplies 3 and m)

⇒2m=-1( subtraction is used)

⇒m=-[tex]\frac{1}{2}[/tex]( division is used)

Thefore the value of m in the given equation i.e.[tex]\frac{m-1}{m}[/tex]=3 is -[tex]\frac{1}{2}[/tex]

⇒ [tex]m^{3} -\frac{1}{m^{3} }[/tex]

Here the value of m =-[tex]\frac{1}{2}[/tex]

Substituting the value of m in the given equation

⇒[tex](\frac{-1}{2} )^{3}[/tex]-[tex](-2)^{3}[/tex]

⇒[tex]\frac{-1}{8}[/tex]+8(addition is used)

⇒[tex]\frac{64-1}{8}[/tex]

⇒[tex]\frac{63}{8}[/tex]

Therefore, the value of the given equation i.e.  [tex]m^{3} -\frac{1}{m^{3} }[/tex] is [tex]\frac{63}{8}[/tex]

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Step-by-step explanation:

x1=2 , y1= -8

x2=5 , y2=-6.

distance= rootunder x2-x1 whole square + y2-y1 whole square

=(5-2)whole square + (-6-(-8)) whole square

= root under 9+4

=rootunder 13 units

The set of points (x , 1 , 8) describe a line that has constant value of y and z coordinates, i.e., is parallel to x-axis in the plane.

The equation of a plane in R has the generic form: ax + by + cz + d = 0, where a, b, and c are the elements of the normal vector n = (a, b, c) that is perpendicular to the plane or any vector parallel to the plane.

Given: Equations of the lines:

To find: description of the points (x, y, z) in the plane.

Finding:

According to the given conditions, the lines y = 1 and z = 8 describe two lines with constant values of y and z coordinates respectively in the plane.

The set of points (x , 1 , 8) describe a line that has constant value of y and z coordinates, i.e., is parallel to x-axis and can have infinitely many values of x in the plane.

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The simplified equation of the given Arithmetic  function (f- g)(x) is:

-x² + 3x + 7.

Arithmetic is a fundamental branch of mathematics that studies the properties of classical operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction.

Addition, subtraction, multiplication, as well as division are the four basic arithmetic operations. There are additional arithmetic operators, such as exponentiation, modulus operations, increment, decrement, and so on. * - The operator for multiplication. As a result, the And operator is not an arithmetic operator.

Given:

f(x) = 3x+1

g(x)=x²-6

(f- g)(x) =

Substituting the value we get:

(f - g)(x) = (3x + 1) - (x² - 6)

= 3x + 1 - x² + 6

= -x² + 3x + 7

The simplified equation of the given Arithmetic  function (f- g)(x) is = -x² + 3x + 7.

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Answer:

1375 miles

Step-by-step explanation:

0.20x+95=370

0.20x=275

x=1375

The value and the summation expression are 2 and -6 + 8

The expression is given as:

8 - 6

When expressed as a sum, the expression can be rewritten as

-6 + 8

When the expression is evaluated, we have

-6 + 8 = 2

Hence, the value and the summation expression are 2 and -6 + 8

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Given statement 'one fourth times the difference of ten and a variable' as a mathematical expression would be: 1/4 (10 - x)

In this question, we have been given a mathematical statement 'one fourth times the difference of ten and a variable'

We need to write an equation for the given math sentence.

Given math sentence: one fourth times the difference of ten and a variable

Let the variable be 'x'

We rewrite above statement as,

one fourth times the quantity ten minus x

⇒ 1/4 × (10 - x)

so, we get an expression 1/4 (10 - x)

Therefore, given statement 'one fourth times the difference of ten and a variable' as a mathematical expression would be: 1/4 (10 - x)

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Answer:

3-x^2-20

Step-by-step explanation:

That is how you convert it from word form to standard form.

Answer:

is 0 is the right answer of this??

Answer:  The factored answer for 36c - 81 is 9(4c−9)

Step-by-step explanation:

Based on the question as posed, 9(4c-9) is the factored answer. It is not possible to derive a single whole number value based on this equation, though the factored result would be greater than 1 where c > 3.

Answer:

b=7

Step-by-step explanation:

3-5b=-32

-5b=-32-3

-5b=-35

Divide both sides by -5

b=7

( I also had trouble with these kind of expressions)

Answer: g(4)=-17

Step-by-step explanation:

You just plug in 4 into x.

-3(4)-5
-12-5
=17

Answer:

g(4) = -17

Step-by-step explanation:

Hello!

Substitute 4 for x in the equation.

g(4) is -17.

Answer:

80

Step-by-step explanation:

[tex]\frac{24.5}{100} *x = 19.6\\x = 19.6 *\frac{100}{24.5} \\x = 80[/tex]

19.6 is 24.5% of 80

Answer:

24.5% of 80= 19.6

Step-by-step explanation:

24.5% of what number is equal to 19.6

24.5

____ x = 19.6

100 100

x = 19.6 x ____

24.5

= x =80

HOPE IT HELPS

Two factors, normal/vegetarian diet and unrestricted/restricted salt is correct.

What is the difference between the Non-restricted and the restricted course?

We have diet two types: normal and veg

salt: restricted and non-restricted

Hence,

option(C) two factors, normal/vegetarian diet and unrestricted/restricted salt is correct.

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Answer:

w = -7.04 and 1.705

Step-by-step explanation:

First lets distribute.

We have 8w-6w(w-4), so let's distribute the -6w to w and -4

8w-6w^2+24w = 2(w+9)

Now for the other side we distribute 2 to w and 9

8w-6w^2+24w = 2w +18

Now we combine like terms

6w^2+32w = 2w +18

Carry both 2w and 18 to the other side

6w^2 +30w -18 = 0

Now we can factor the equation, i used the quadratic method which is x= -b+- the square root of b^2-4ac /2a (in this case x would be w)

Plugging that in:

x= -32 +- square root of 32^2 -4(6 * -18) / 2(6)

-32 +- square root of 1024 +1728 / 12

-32 +- square root of 2752 /12

-32 +- 52.46 /12

x = -32 - 52.46/12   and  -32 + 52.46/12

x=  -84.46/12      and      20.46/12

x= -7.04  and  1.705

so w = -7.04 and 1.705

Sorry this was so complicated, but I hope this helps

Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches are  greatest lenght of the pieces by greatest common factor.

What does "largest common factor" mean?

a.  As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find GCF(greatest common factor) of 60, 48 and 72.

First we will factor out all three numbers completely

60 = 2 × 2 × 3 × 5

48 = 2 × 2 × 2 × 2 ×3

72 = 2 × 2 × 2 × 3 × 3

The common factors are: 2, 2 and 3

Thus the GCF = 2 × 2 × 3  = 12

So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.

b.  For finding the number of pieces for each color cloth, we will just divide the length of each cloth by 12. So

Number of pieces for blue cloth = 60/12 = 5

Number of pieces for gold cloth = 48/12 = 3

Number of pieces for white cloth = 72/12= 6

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The mean of the data is 30 and the median of the data is 27.5.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data. The mean of the data will be calculated by adding all the numbers and dividing it by the quantity of the numbers.

The median of the data generally refers to the middle most value of the series. The median of the data is calculated by arranging the numbers in increasing order and getting the middle value of the numbers.

Given data is 26, 29, 27, 28, 29, 27, 27, 53, 25, 29 arrange all the numbers in increasing order.

25,26,27,27,27,28,29,29,29,53

Mean = Sum of all the numbers / Total numbers

Mean =  (25 + 26 + 27 + 27 + 27 + 28 + 29 + 29 + 29 + 53 ) / 10

Mean = 300 / 10

Mean = 30

Median = ( 27 + 28 ) / 2 = 27.5

Therefore, the mean of the data is 30 and the median of the data is 27.5.

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The value of 11/3 + (-5/6) using the number line is 17/6.

Number line:

The number line is a visual representation of numbers on a straight line.

In a number line, Zero (0) is considered to be the origin of a number line. The numbers to the left of 0 are negative numbers and the numbers to the right of 0 are all positive numbers.

Given,

Here we have to add the values 11/3 + (-5/6) by using the number line.

To solve this one,

First we have to convert the fractions into decimals,

So, the decimal equivalent of

11/3 = 3.6

-5/6 = -0.8

So, the addition of these two is

=> (11/3) + (-5/6)

=> 3.6 + (-0.8)

=> 2.8

The fraction of the number is

=> 2.8 = 17/6.

This can be expressed in the following number line.

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Answer:

41.666 =~41.67

Step-by-step explanation:

3a=125

a=125÷3

a=41.67

Answer:

41.667

Step-by-step explanation:

3a=125

a= 125/3

a=41.667

(a) Differentiate [tex]s(t)[/tex] to get the velocity.

[tex]s(t) = \cos(t^2 - 1)[/tex]

Use the chain rule.

[tex]u = t^2 - 1 \implies \dfrac{du}{dt} = 2t[/tex]

[tex]s(u) = \cos(u) \implies \dfrac{ds}{du} = -\sin(u)[/tex]

[tex]\implies \dfrac{ds}{dt} = \dfrac{ds}{du} \dfrac{du}{dt} = \boxed{-2t\sin(t^2-1)}[/tex]

(b) Evaluate the derivative from (a) at [tex]t=0[/tex].

[tex]\dfrac{ds}{dt}\bigg|_{t=0} = -2\cdot0\cdot\sin(0^2-1) = \boxed{0}[/tex]

(c) The object is stationary when the derivative is zero. This happens for

[tex]-2t \sin(t^2 - 1) = 0[/tex]

[tex]-2t = 0 \text{ or } \sin(t^2 - 1) = 0[/tex]

[tex]t = 0 \text{ or } t^2 - 1 = n\pi[/tex]

(where [tex]n[/tex] is any integer)

[tex]t = 0 \text{ or } t = \pm\sqrt{n\pi + 1}[/tex]

We omit the first case. In the second case, we must have [tex]n\ge0[/tex] for the square root to be defined. Then in the given interval, we have two solutions when [tex]n=\in\{0,1\}[/tex], so the times are

[tex]t_1 = \sqrt{1} = \boxed{1}[/tex]

[tex]t_2 = \boxed{\sqrt{\pi + 1}} \approx 2.035[/tex]

(d) A picture is worth a thousand words. See the attached plot. If you're looking for a verbal description, you can list as many features of the plot as are relevant, such as

• intercepts (solve [tex]s(t)=0[/tex] to find [tex]t[/tex]-intercepts and evaluate [tex]s(0)[/tex] to find the [tex]s[/tex]-intercept)

• intervals where [tex]s(t)[/tex] is increasing or decreasing (first derivative test)

• intervals where [tex]s(t)[/tex] is concave upward or concave downward (second derivative test; at the same time you can determine any local extrema of [tex]s(t)[/tex], which you can see in the plot agrees with the critical points found in (c))

Answer:

its true

Step-by-step explanation:

Answer:

The function is neither odd, nor even

Step-by-step explanation:

It is because an even function is always symmetrical in respect with the y axis

It is because an odd function is always symmetrical in respect with the origin