Suppose the diameter of a similarly shaped crater is 1 km . What is the volume of the crater? Use the formula given in Problem 3 .

Days it took the grass to grow 1 centimeter and  centimeters the grass grew in 1 day

0.625 days to grow 1 cm.

16/10 = 1.6 cm in 1 day.

According to the law of proportion, any two ratios or fractions must be equal.

In only a week and a half, the grass in Jamie's backyard grew by 16 cm. it is expanding at an unchanging pace.

We need to determine how many days have passed since the grass has grown one centimeter.

Let's say that x represents the number of days that the grass grew one centimeter.

Given the following definition of proportion:

16/10=1/x

16x = 10

x = 0.625 days

As a result, one centimeter of grass growth occurred after 0.625 days had passed.

b)

Change x into 1. Because x is the number of days.

16/10=1/1

16/10

1.6

'In conclusion, in 1 day, 1.6 cm will grow.

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abc is right angled triangle,

A triangle in which one of the interior angles is 90° is called a right angled triangle.

According to the diagram 'ab' is the height or perpendicular 'ac' is the base and 'bc' is the hypotenuse of the triangle.

Sin θ = [tex]\frac{perpendicular}{hypotenuse}[/tex]

Cos θ = [tex]\frac{base}{hypotenuse}[/tex]

Tan θ = [tex]\frac{perpendicular}{base}[/tex]

Cosine angle at b will be represented as Cos b = [tex]\frac{base}{hypotenuse}[/tex] = [tex]\frac{ab}{bc}[/tex]

the base considered for the angle at 'b' will be 'ab' since Cosine uses the base attached to the angle.

Sine angle at c will be represented as Sin c = [tex]\frac{perpendicular}{hypotenuse}[/tex] = [tex]\frac{ab}{bc}[/tex]

the perpendicular considered for the angle at 'c' will be 'ab' since Sine uses the perpendicular which lies opposite to the angle considered.

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Answer:

27

Step-by-step explanation:

if p is 27 and 27 /3 =9 and 9-5=4 that means the answer is 27

Answer: yea its 27

Step-by-step explanation:

Answer:

13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24

Answer:

-2 3/4.

Step-by-step explanation:

8 2/3 = 26/3

26/3 / -104/33

= 26/3 * 33/-104

= 1 /3 * 33/-4

= 1/1 * 11/-4

= -11/4

= -2 3/4.

Answer:

A. M^3

Step-by-step explanation:

Answer:

[tex]m^3[/tex]

Step-by-step explanation:

We can subtract the exponent 4 from the exponent 7.

Therefore,

[tex]m^{7-4}[/tex] is the answer

Then we simplify:

[tex]m^3[/tex] is our final answer.

Hope this helped!

The given expression would be simplified by solving for the negative exponent.

In this expression, the base term is 3x^2/3 and the exponent is -1.

A positive exponent tells us how many times a number is multiplied by itself while the negative exponent tells us how many times the base number has to be divided. It can also be described as the number of times the reciprocal of the base number is multiplied by itself.

The negative exponent rule states that: a^-x=1/a^x

Hence, applying the rule:

(3x^²/₃)^-1=1/(3x^²/₃)^1

Multiplying the power and simplifying,

1/(3x^²/₃)^1=1/3^1x^²/₃*1=1/3x^²/₃

The simplest form of the expression (3x^²/₃)^-1 is 1/3x^²/₃.

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when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

[tex]\cfrac{x}{48}=\cfrac{48}{64}\implies \cfrac{x}{48}=\cfrac{3}{4}\implies 4x=144\implies x=\cfrac{144}{4}\implies \boxed{x=36}[/tex]

Answer:

→ 2 + (3 × x) = 30

Answer:

The 4th Option

Step-by-step explanation:

For a graph to be a function, it must not be broken up at any point (as in Option 3) and there can be no points that overlap each other vertically (as in Options 1 and 2). So, the only option that is continuous and with no overlapping points is Option 4.

Answer:

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

[tex]8(x + 7) = 96 \\ 8x + 56 = 96 \\ 8x = 96 - 56 \\ 8x = 40 \\ x = \frac{40}{8} \: \: \: \: \: so \: \: \: \: x = 5[/tex]

Answer:

5

Step-by-step explanation:

If im seeing this correctly, its 8(?+7) =96

if you put 5 instead of the ?

It will equal 12.

12×8 =96

Answer:

1. 60 seconds.

2. 9 minutes.

3. 3 minutes, 180 seconds.

4. 300 seconds, 5/60 horas.

Answer:

I don't know!!!!!!!!!!!!!

2 is 4/6, 8/12

3 is 2/4, 4/8

4 is 8/10, 16/20

5 is =

6 is >

7 is >

8 is =

9 is =

10 is <

11 is =

12 is >

To graph a linear equation, including the function y + 4 = 5 · x, we needed to rewrite the equation into its explicit form, mark two distinct points on a Cartesian plane and pass a line through them. The result is presented in the image attached below.

Herein we find a linear equation in a non-canonical form and to which we are asked to graph. According to geometry, lines can be created by knowing the location of two distinct points on Cartesian plane. The detailed procedure is now shown.

First, clear the variable y to obtain the explicit form of the linear equation:

y = 5 · x + 4

Second, look up for two distinct points on Cartesian plane by evaluating the expression at distinct values of x:

x = 0

y = 5 · 0 + 4

y = 4

x = 1

y = 5 · 1 + 4

y = 9

The points (0, 4) and (1, 9) lie on the line.

Third, mark the coordinates of the two points and pass a line through them.

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The simplified answer is 5p - 1.25p²

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given:

2.5p(2 - 0.5p)

Now solving further

2.5p * 2 - 2.5p (0.5p)

5p - 1.25p²

Hence, the simplified answer is 5p - 1.25p².

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A. √18 is an irrational number.

Answer:

A.

Step-by-step explanation:

√18 (= 4.242640687.....)

The decimals go on without bounds.

Given congruent triangles ΔABC and ΔMNL, the corresponding parts or sides include the following:

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length (numerical value).

In Mathematics, two geometric figures are considered to be congruent only when their corresponding side lengths are congruent and the magnitude of their angles are congruent.

Given congruent triangles ΔABC and ΔMNL, the corresponding parts or sides include the following:

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Answer:

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Simplify

[tex]26=6\cdot \left(5-a\right)\\26=6\cdot 5+6\cdot -a\\26=30+6\cdot -a\\26=30+\left(6\cdot -1\right)a\\26=30-6a\\30-6a=26[/tex]

Group constants

[tex]30-6a=26\\30-6a-30=26-30\\-6a+30-30=26-30\\-6a=26-30\\-6a=-4\\[/tex]

Isolate the term, a

[tex]-6a=-4\\\frac{-6a}{-6}=\frac{-4}{-6}\\\frac{6a}{6}=\frac{-4}{-6}\\a=\frac{-4}{-6}\\\\\frac{-a}{-b} = \frac{a}{b}\\\\a=\frac{4}{6}\\a=\frac{2\cdot 2}{3\cdot 2}\\a=\frac{2}{3}[/tex]

Answer:

$25 is a fixed number, cannot be increased, decreased or deleted.

Step-by-step explanation:

In the situation, the math are modified by the fixed value of $25, which should be a addition to the variable term in the proper math expression.

Answer:

2 years

Step-by-step explanation:

I= PRT/100

I=£30000 x 12 x 1 /100 =£3600

Since the interest for one year is £3600, the interest for two years is £3600x2 =£7200

The equation model the situation is mathematically given as

(0.5x + 7.5) = 0.75(x + 6)

This is further explained below.

Generally, the  cost of the beads in a necklace is  mathematically given as

0.50x + 6*1.25 = 0.5x + 7.5 dollars

Therefore

There are a total of x + 6 beads. Due to the fact that 0.75 is the typical cost of the beads,

[tex]\frac{0.5 x+7.5}{x+6}=0.75[/tex]

0.5 x+7.5=0.75(x+6)

In conclusion, The solution for x may be obtained as follows:

0.5x + 7.5 = 0.75x + 4.5

-0.25x = -3

x = -3/-0.25

x= 12

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NOTE; This is a complete question, with no given option, even on the internet.

The solution to the inequality is x >-2/11

The inequality is given as

-5/2(3x − 2) < 6 − 2x.

Multiply through by 2

So, we have

-5(3x − 2) < 12 − 4x.

Open the brackets

So, we have

-15x + 10 < 12 − 4x.

Evaluate the like terms

So, we have

-11x < 2

Divide by -11

x >-2/11

Hence, the solution to the inequality is x >-2/11

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Answer:

162.56 centimeters

Step-by-step explanation:

60 inches + 4 inches = 64 inches

1 inch =

2.54 centimeters

64 inches = 162.56 centimeters

Answer:

g-1(x)=-1/4x+3/2

Step-by-step explanation:

The result of the Commission on Wartime Relocation and Internment of Civilians was C. In the 1980s, a commission held investigations and made recommendations.

The Commission on Wartime Relocation and the Internment of Civilians reviewed details surrounding the forced relocation and the internment of "aliens."

The commission discovered that the internment badly impacted American citizens and permanent resident aliens.

The commission recommended the payment of compensation to those who suffered the War Relocation.

Thus, the result of the Commission on Wartime Relocation and Internment of Civilians was Option C.

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The values of the function f and g are -1, -3, -5, -7, -9 and 15,10,5,0,-5.

According to the statement

We have to find that the values of the function.

So, For this purpose, we know that the

The function is an expression that defines a relationship between one variable and another variable.

From the given information:

The functions are:

f(x) = 2x - 7 and g is defined by g(x) = 5x.

And Find f(3), f(2), f(1), f(0), and f(-1) and Find g(3), g(2), g(1), g(0), and g(-1).

Then

f(x) = 2x - 7

f(3) = 2(3) - 7 = 6 - 7 = -1.

f(2) = 2(2) - 7 = 4 - 7 = -3.

f(1) = 2(1) - 7 = 2 - 7 = -5.

f(0) = 2(0) - 7 = 0 - 7 = -7.

f(-1) = 2(-1) - 7 = -2 - 7 = -9.

And then

g(x) = 5x

g(3) = 5(3) =  15.

g(2) = 5(2) = 10.

g(1) = 5(1 ) = 5.

g(0) = 5(0) = 0.

g(-1) = 5(-1) = -5.

So, The values of the function f and g are -1, -3, -5, -7, -9 and 15,10,5,0,-5.

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Answer: y=2x-2

Step-by-step explanation:

X intercept is 1

Hence,

(1,0)

Thus,

(1,0)     (-1.-4)

                      Equation of a straight line:

                             [tex]\displaystyle\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }[/tex]                

x₁=1       x₂=-1        y₁=0        y₂=-4

[tex]\displaystyle\\\frac{x-1}{-1-1} =\frac{y-0}{-4-0} \\\\\frac{x-1}{-2} =\frac{y}{-4} \\\\[/tex]

Multiply both parts of the equation by -4:  

(2)(x-1)=y

2x-2=y

Answer:

[tex]y=2x-2[/tex]

Step-by-step explanation:

The x-intercept is when the line crosses the x-axis, so when y = 0.

Therefore, the two points on the line are:

To find the equation of the line when given two points from the line, first find the slope:

[tex]\textsf{slope}\:(m)=\dfrac{\textsf{change in $y$}}{\textsf{change in $x$}}=\dfrac{-4-0}{-1-1}=2[/tex]

Now substitute the found slope and one of the points (1, 0) into the point-slope form of a linear equation:  

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-0=2(x-1)[/tex]

[tex]\implies y=2x-2[/tex]

Therefore, the equation of the line is:

[tex]y=2x-2[/tex]