Define the term "surplus"in this context​

Answer:

-7/3

-3/4

0.5

2/3

1.2

You can get these numbers by sorting in your head. Think of a number line and that'll make things easier :)

Answer:

-7/3, -3/4, 0.5, 2/3, 1.2

Step-by-step explanation:

The larger the negative number is the smaller it's value is and its the complete opposite for positive numbers

the rate of tiles needed per length is 12

so the answer is option A

Answer:

6cm

Step-by-step explanation:

Here, base=10cm

Length=7cm

A=70 cm2

(Do same to other sides rect.)

A=42 cm2

A= 56 cm2

A of triangle=24*2(2 triangle)( UseHerons formula)

=48 cm2

adding all A=216 cm2

Area of cube=6l2

216=6l2

simplify

l=6cm

(-2, 10].

First of all, let's refresh the concepts of domain and range when talking about mathematical functions.

In simple terms, the domain of a function are the values that the function can work with, the allowed inputs, which happen to be the same as values of the common used variable "x", the dependent variable. We can easily tell the domain of a by looking at its horizontal extension, what values of "x" it passes by.

Now, the domain is the total opposite, those are the outputs, or the "y" values that the function returns after evualiating an "x" value. These can be seen by analyzing the vertical extension of the graph, what values of "y" the function can reach.

In the given graph, we may see that the lowest "y" value the graph outputs (vertically) is -2, and we also see that the circle in that number doesn't have a fill color, it's transparent, that means that tne function doesn't contain the value of -2. Therefore, y > -2. Now, on the upper end of the function, we can see that highest "y" value the function can reach is 10, marked with a filled circle, which means that the function contains said value, hence, y ≤ 10.

Now, writting in interval notation, remember that the square brackets "[]" are meant to be used next to a value that the function contains. Also, the parentheses "()" are meant to a value that the function doesn't contain.

Previously, we mentioned that the function doesn't contain value "-2", therefore, we may write:

(-2...

Now, to finish writting the interval, we mentiones that value 10 is contained in the function, hence, we finish writting the interval notation as follows:

(-2, 10].

Final answer: (-2, 10].

When writting in interval notaion, the symbol of infinity "∞" must always be written next to a parenthesis symbol.

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

y= -2x -4

Step-by-step explanation:

slope: rise/run = 2/-1 = -2

y-intercept: -4

Answer:

30,000

Step-by-step explanation:

I just counted in my head

Answer:

Step-by-step explanation:

Let's represent the unknown number by x

"of" means multiplication so 12% of the number means 12/100 × x

12% of the number is 3600 so we equate 12/100(x) to 3600 and find x

We have

\( \frac{12}{100} \times x = 3600\)

Multiply both sides by 100 to eliminate the fraction

We have

\(12x = 360000\)

Divide both sides by 12

\( \frac{12x}{12} = \frac{360000}{12} \\ \)

We have the final answer as

Hope this helps you

Answer:

\( L= x\)

And the width for this case is:

\( W= 5x^3 +4 -x^2\)

And we know that the perimeter is given by:

\( P= 2L +2W\)

And replacing we got:

\( P(x) = 2x +2(5x^3 +4 -x^2)= 2x +10x^3 +8 -2x^2\)

And symplifying we got:

\( P(x)= 10x^3 -2x^2 +2x+8\)

Step-by-step explanation:

For this problem we know that the lenght of the rectangle is given by:

\( L= x\)

And the width for this case is:

\( W= 5x^3 +4 -x^2\)

And we know that the perimeter is given by:

\( P= 2L +2W\)

And replacing we got:

\( P(x) = 2x +2(5x^3 +4 -x^2)= 2x +10x^3 +8 -2x^2\)

And symplifying we got:

\( P(x)= 10x^3 -2x^2 +2x+8\)

The surface areas of the figures are 336, 82 and 836

From the question, we have the following parameters that can be used in our computation:

The figures

For the triangular prism, we have

Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12

Surface area = 336

For the rectangular prism, we have

Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)

Surface area = 82

For the cylinder, we have

Surface area = 2π * 7 * (7 + 12)

Surface area = 836

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The surface area of the prisms are

1. 336 cm²

2. 82 m²

3. 836 cm²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of prism is expressed as;

SA = 2B +pH

where B is the base area , p is the perimeter and h is the height.

1. SA = 2B +ph

B = 1/2 × 6 × 8

= 24 m²

p = 6+8+10 = 24m

h = 12m

SA = 2 × 24 + 24 × 12

= 48 + 288

= 336 cm²

2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)

= 2( 6+21+14)

= 2( 41)

= 82 m²

3. SA = 2πr( r +h)

= 2 × 3.14 × 7( 7 + 12)

= 44( 19)

= 836 cm²

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The value οf P(x > 104) is 0.1587 οr apprοximately 15.87%.

Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.

Tο find the prοbability οf P(x > 104) fοr a nοrmal distributiοn with mean οf 98 and standard deviatiοn οf 6, we need tο standardize the value οf 104 using the fοrmula:

z = (x - μ) / σ

where z is the standard scοre, x is the value we want tο find the prοbability fοr, μ is the mean οf the distributiοn and σ is the standard deviatiοn.

Plugging in the values, we get:

z = (104 - 98) / 6 = 1

Nοw we need tο find the area tο the right οf this value οn the standard nοrmal distributiοn table οr calculatοr.

Using a standard nοrmal distributiοn table οr calculatοr, we find that the area tο the right οf z = 1 is 0.1587.

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The correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

To prove that \(BC^2 = AB^2 + AC^2\), we can use the triangle similarity and the Pythagorean theorem. Here's a step-by-step explanation:

Given triangle ABC with right angle at A and segment AD perpendicular to segment BC.

By triangle similarity, triangle ABD is similar to triangle ABC. This is because angle A is common, and angle BDA is a right angle (as AD is perpendicular to BC).

Using the proportionality of similar triangles, we can write the following ratio:

\($\frac{AB}{BC} = \frac{AD}{AB}$\)

Cross-multiplying, we get:

\($AB^2 = BC \cdot AD$\)

Similarly, using triangle similarity, triangle ACD is also similar to triangle ABC. This gives us:

\($\frac{AC}{BC} = \frac{AD}{AC}$\)

Cross-multiplying, we have:

\($AC^2 = BC \cdot AD$\)

Now, we can substitute the derived expressions into the original equation:

\($BC^2 = AB^2 + AC^2$\\$BC^2 = (BC \cdot AD) + (BC \cdot AD)$\\$BC^2 = 2 \cdot BC \cdot AD$\)

It was made possible by cross-product property.

Therefore, the correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

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Answer:

27.1 dollars

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

Answer:

24 - 3y

Step-by-step explanation:

Since the sum of the two numbers is 8, the larger number is 8 - y.

Three times the larger number: 3 (8 - y).

Simplify using Distributive property: 3 (8 - y) = 24 - 3y.

So the answer is 24 - 3y

Answer:

d. 4c + 11d + 15

Step-by-step explanation:

This is a pretty simple combining like terms problem.

10c - 6c = 4c

3 + 12 = 15

7d + 4d = 11d

Therefore, our expression will be 4c + 11d + 15.

Answer:

\(\bf D)\:4c+11d+15\)

Step-by-step explanation:

\(\bf 10c - 6c + 3 + 7d + 12 + 4d\)

Combine like terms:

\(\bf (10c -6c)(7d+4d)(3+12)\)

\(\bf 4c+11d+15\)

Answer:

25

Step-by-step explanation:

Answer:

8=8 so it is true

Step-by-step explanation:

Answer:

oy-5=1 ( x-30)

Step-by-step explanation:

jernardia is dumb as heck

Answer: 4

Step-by-step explanation:

Answer:4

2+2=4 if I have two apples and pick up two more I now have 4 total

Answer:

I would not no because there is no photos/information provided, please provide some.

Step-by-step explanation:

Answer:

it is too blury to read

Step-by-step explanation:

Answer:

2.38888

Step-by-step explanation:

That's what is says hope this helps

Answer:

Step-by-step explanation:

Net pay = $1896.00

Amount can be spent on food:

Correct choice is B

Answer:

$44.04

Step-by-step explanation:

let 3 be the number of people and 14.68 the person owes

3*14.68 = 44.04

The calculated value of the rate of the graph is 0.8

from the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(0, -16) and (20, 0)

The rate of the graph is calculated as

Rate = Change in y/x

using the above as a guide, we have the following:

Rate = (0 + 16)/(20 - 0)

Evaluate

Rate = 0.8

Hence, the rate is 0.8

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The Speed of onward and return journey will be "20 mph and 10 mph".

Let,

According to the question,

Time taken,

Return Journey travel time,

then,

→ \(\frac{40}{S} -\frac{40}{S+10} =2\)

S = 10, -20 (negative)

→ \(t_1 = \frac{40}{20}\)

      \(= 2 \ hr\)

→ \(t_2 = \frac{40}{10}\)

      \(= 4 \ hr\)

hence,

→ The speed for onward journey will be:

= \(\frac{40}{2}\)

= \(20 \ mph\)

→ The speed for return journey will be:

= \(\frac{40}{4}\)  

= \(10 \ mph\)

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Answer:

121

Step-by-step explanation:

4:4:3

4x-3x=11

x=11

Gordon 44

June 44

Sushil 33

Answer:

D

Step-by-step explanation:

The growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The normal yearly growth of a plant is 60 inches.

Let's suppose the growth of the plant last year was x

The normal growth was ten inches more than twice the amount of last year.

From the above statement:

10 + 2x = 60

2x = 50

x = 25 inches

Thus, the growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.

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