hi, can you help me answer this question please, thank you!

The area, in square feet, of the portion of the garden that excludes the border is 40.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We have been given that Angie added a stone border of 2 feet in width on all sides of her garden making her harder 12 by 6 feet.

Length = 12 ft

Width = 6 ft

The dimension of the garden  that excludes the border of 2 feet are;

Length = 12 ft- 2 = 10 ft

Width = 6 ft - 2= 4 ft

Thus, Area  =  length × Width

Area = 10 x 4

Area = 40 square feet

Hence, the area, in square feet, of the portion of the garden that excludes the border is 40.

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True

Note that when you have the position of a point as (x, y), the first coordinate is the x - axis while the second is the y - axis.

Also note that, to the right of the x axis, you have positive numbers while you have negative numbers to the left.

We can then conclude that When the first coordinate is positive, that point is located to the right of the x-axis

The algebraic expression for each phrase would be the following:

a. the product of 9 and a number t would be expressed as:

9*t

b. the difference of a number x and 1/2 would be expressed as:

x - 1/2

c. the sum of a number m and 7.1 would be expressed as:

m + 7.1

d. the quotient of 207 and a number n​ would be expressed as:

207 / n

The domain restrictions on the rational equation

[tex]\frac{x +2}{x^{2} -25 }+1 =\frac{8x}{2x-10}[/tex]  are  Options A and C. x = 5 and x = - 5 .

The numbers that makes the denominators zero and the entire expression infinite or undefined are the domain restrictions.

Consider the denominators,

       [tex]x^{2}[/tex] - 25 ≠ 0 --(1)

       [tex]x^{2}[/tex] ≠ 25

       x ≠ 5 and x ≠ -5

       2x - 10 ≠ 0  ---(2)

       2x ≠ 10

        x ≠ 10/2

        x ≠ 5

The domain restrictions on the rational equation  [tex]\frac{x +2}{x^{2} -25 }+1 =\frac{8x}{2x-10}[/tex]  are

x ≠ 5 and x ≠ -5 .

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The angles are 22.5°, 67.5° and 90°.

Let the smallest angle = x

Total angles in a triangle = 180°

One angle is three times the smallest angle. This will be 3x.

The third angle is 45 more than twice the smallest angle. This will be:

= (2 × x) + 45

= 2x + 45

The angles will be:

x + 2x + 45 + 3x = 180

6x + 45 = 180

Collect like terms

6x = 180 - 45

6x = 135

Divide

x = 135 / 6

x = 22.5°

Smallest angle = 22.5°

The other angles will be calculated by substitutibg 22.5° for x. This will be:

3x = 3 × 22.5 = 67.5°

Also, 2x + 45 = 2(22.5) + 45 = 90°

This illustrates the concept for angles in a triangle.

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Then the vertex is (3/2, 25/2)

A general equation of a parabola is:

This way you find the value of h

Since h is a value of x, you can find the corresponing value of y by using the original equation:

and this will be the value of K

ANSWER

C = -50 degree Celcius

STEP-BY-STEP EXPLANATION:

What to find? The value of C in degree Celcius

Given Parameters

F = -58 degree Fahrenheit

The formula is given below

Substitute the value of into the equation

Hence, the value of C is -50 degrees

Based on the given figure, you can conclude:

The expression 180 - (3x + 8) represents a supplementary angle to the angle (3x + 8). This angle would be an angles subtended from side KL to a line that is a prolongation of line JK.

A)140 adults and 72 children

Explanation

Step 1

Let x represents the number of childrend attending

Let y represents the number of adults attending

then

total cost for the children=4x

total cost for the adults=6y

if you raise 1128,

Now, 212 people attend,Hence

Step 2

solve for x and y

a)isolate x in equation (2), then replace in equation (1)

it means 140 adults are attending

b)replace y=140 in equatin (2) to find x

so, the number of children is 72 and 72 children

Answer: 7040

Step-by-step explanation:

1
352

x20

——-

000
7040

+
———

7040

Okay, here we have this:

Considering that the range of a function is the complete set of all possible resulting values of the dependent variable (y), we can see in the graph of the function that:

The values of the variable "y" go from -1 to plus infinity, this mean that the range is:

-1≤y<∞

Finally we obtain that the correct option is the first option.

The Euler's polyhedron formula states that, for a polyhedron with F faces, E edges and V vertices, we have:

F + V - E = 2

For E = 12 and V = 6, then we have:

F + 6 - 12 = 2

F = 2 + 12 - 6

F = 8

Answer: The slope is 4/5 and the y-intercept is (0,-1)

Step-by-step explanation:

What is equation of straight line in slope-intercept form?

The formula for equation of straight line in slope-intercept form is y = mx +c

where m = slope and c = y-intercept

Analysis

y2-y1/x2-x1

3-(-1)/5-(-0)

=4/5

The slope of the linear function is 4/5

The y-intercept is (0.-1)

Since we have a markdown of $1.30 we just need to substract this amount to the original price, then we have:

Therefore the reduced price is $5.20

[tex] {x}^{2} + 4x + ( \frac{4}{2} )^{2} - 21 = 0 + ( \frac{4}{2} )^{2} \\ {x }^{2} + 4x + 4 = 4 + 21 \\ (x + 2)(x + 2) = 25 \\ {(x + 2)}^{2} = 25[/tex]

ATTACHED IS THE SOLUTION

Answer:

Step-by-step explanation:

50

1) n times 7

times means multiplication

7n

Given the function:

the given function is a quadratic function

The graph of the function is as shown in the following picture

As shown the function has a minimum point at ( 4, 5 )

So, vertex = ( 4, 5 )

And Axis of symmetry: x = 4

The margin of error of a z-confidence interval is given by: [tex]$M=z \frac{\sigma}{\sqrt{n}}$$[/tex]

The margin of error of a z-confidence interval is 142.945936.

The margin of error of a z-confidence interval exists given by:

[tex]$M=z \frac{\sigma}{\sqrt{n}}$$[/tex]

Where, z is the critical value.

[tex]$\sigma$[/tex] be the population standard deviation.

n is the sample size.

The first step is finding the critical value, which exists z with a p-value of [tex]$\frac{1+\alpha}{2}$[/tex] in which [tex]$\alpha$[/tex] is the confidence level.

In this problem, [tex]$\alpha[/tex] = 0.95, therefore, z with a p-value of 1 + 0.95 / 2 = 0.975, which means that it is z = 1.96.

The population standard deviation exists of 12.2 meters, thus [tex]$\sigma[/tex] = 12.2.

We want a width of 5 , thus a margin of error of M = 2. Therefore, we have to simplify the equation for the margin of error for n.

Let the equation be [tex]$M=z \frac{\sigma}{\sqrt{n}}$$[/tex]

substitute the  values in the above equation, we get

[tex]$2=1.96 \frac{12.2}{\sqrt{n}}$[/tex]

[tex]$2 \sqrt{n}=1.96(12.2)$[/tex]

simplifying the above equation, we get

[tex]$\sqrt{n}=\frac{1.96(12.2)}{2}$[/tex]

[tex]$(\sqrt{n})^2=\left(\frac{1.96(12.2)}{2}\right)^2$[/tex]

n = 142.945936

Therefore, the value of n = 142.945936.

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1) Let's rewrite it as a logarithmic expression of the following exponential one. Let's do it step by step.

Note that when we apply the natural log on both sides, we use one of those properties that tell us that we can eliminate the log since the base of a natural log is "e", as well as, "e" is the base of that power.

2) To rewrite in the exponential form we can do the following:

Note that in this case, we have used the definition of logarithms.

The regular price of an item is $65

Lena bought it on sale for 60% off the regular price.

Then it means that she paid only (100% - 60% = 40%) of the price.

Let us find the 40% of $65

Therefore, Lena paid only $26 for the item.

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

The equation of a circle is given as :

comparing with the given equation:

we have that:

CONCLUSION:

From the detailed explanation, we can see that the correct answer is:

SOLUTION

The amout that Jenny sold the car for is $14,000

The amout that the car depriciated will be

$42,000 - $14,000 = $28,000

The ratio for the amount she sold it for to the amount that it depreciated becomes

Answer:

answer of the given question

The lower-of-cost-or-net-realizable-value of the inventory is $31000.

An asset's worth is often assessed using the net realizable value (NRV) approach for inventory accounting. It is discovered by calculating the difference between the asset's anticipated selling price and all of the expenses related to the asset's eventual sale. The cash sum that a corporation anticipates receiving is known as net realizable value (NRV). Consequently, net realizable value is also known as cash realizable value. The terms "net realizable value" and "current assets" are frequently used in relation to inventory and accounts receivable.

Given,

Camera

Cost = 11600

Market value = 10100

(Market value is less. so 10100.)

Camcorders

Cost = 8500

Market value = 8000

( Market value is less so 8000)

DVD

Cost = 13500

Market value = 12900

(Market value is less, so 12900)

the lower-of-cost-or-net-realizable-value of the inventory:

= 10100 + 8000 + 12900

= 31000

The lower-of-cost-or-net-realizable-value of the inventory is $31000.

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B) y= -1/2x -4

1) Let's start by picking two points from that line: (0,3) and (-2,-1). Now we can plug them into the slope formula and find out the slope of that line:

2) Examining that graph we can see that when x=0 y=3, so the linear coefficient b is 3. Therefore we can write the equation as y= 2x-3.

2.2) Since the question wants a perpendicular line, then the slope of this perpendicular line must be reciprocal and opposite to m=2, so:

So, plugging the given point (6,-7) we can find out the linear coefficient of that perpendicular line:

y=mx +b

-7 = 6(-1/2) +b

-7 =-3 +b

-7+3 = b

b=-4

3) Hence, the answer is y= -1/2x -4

Answer:

32

Step-by-step explanation:

Solution

If the total amount of hand lotion is available, then you have 128 ounces of hand lotion.

If 128 oz is put into a number of smaller containers (each one 4 oz) then you have

128/4 containers.

128 / 4 = 32.

You can make 32 containers each one holding 4 ounces. The question uses division to solve.

With the Segment Addition Postulate you have that:

As you have that 42 is equal to QS, and 42 is equal to X + 3 + 2, you use

ANSWER

P'(-12, 21.5)

EXPLANATION

We are given the cordinates of P as:

P(-9, 10.5)

Cordinate points are given as A(x, y)

We want to translate it 3 units left and 11 units up.

That means that we are moving it 3 units towards the negative side of the x axis and 11 units towards the positive side of the y axis.

Therefore, we will subtract 3 from the x cordinate and add 11 to the y cordinate.

Therefore, the translation is:

P(-9, 10.5) => P'(-9 - 3, 10.5 + 11)

=> P'(-12, 21.5)

The cordinates of P have been translated.

We will have the following:

The rate at which the water rises is 13/4 cm per minute.

So, solvinng the equation:

For y gives a value for y equal to: