place (−6, 8) on the coordinate plane.

Answer:

b^2-c^2-10b+10c

Step-by-step explanation:

b^2-c^2-10(b-c)

b^2-c^2-10b+10c

Sally's temperature is 99.07°F if human body temperatures have a mean of 98. 20° F and a standard deviation of 0. 62° F and her temperature can be described by z = 1.4.

Therefore the answer is 99.07°F.

To get this answer, you need to know how to convert standard scores (z-scores) back into original units.

As z = (x - μ)/ σ

Formula to convert z-score to original units is:

x = μ + (z × σ)

where x is the original value, μ is the mean, z is the standard score, and σ is the standard deviation.

Plugging in the given values we get

x = 98.2 + (1.4 × 0.62)

x = 98.2 + 0.868

x = 99.068

which round off to 99.07°F

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The height of the pyramid is 12 units.

The volume of the pyramid is 400 units cube.

The pyramid has a square base with side length of 10 units. Each segment that connect the apex to a midpoint of a side of the base has a length of 13 units.

Therefore, the height of the pyramid can be calculated as follows:

The height of the pyramid can be found using Pythagoras's theorem for right triangles.

Hence,

c² = a² + b²

where

Therefore,

h² = 13² - 5²

h = √169 - 25

h = √144

h = 12 units

Therefore,

height of the pyramid = 12 units

Volume of the square pyramid = 1 / 3 BH

where

Therefore,

B = 10² = 100 units²

Volume of the square pyramid = 1 / 3 × 100 × 12

Volume of the square pyramid = 1200 / 3

Volume of the square pyramid = 400 units³

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Answer:

to solve this you need to find out what number n is to make it equal 28.

Step-by-step explanation:

19+3 =22 so 3 is not it

19+9=28

answer is 9

hopefully this is right and this gets to you on time

Answer:

err Im not sure if this is a multiple-choice but n=3

Step-by-step explanation:

3(n) + 19 is 28 meaning you have to find what multiplies with 3 to get 9 because 19+9 is 28
Hope this helps

The expression which is equivalent to -10 is the option b, -3 - 7.

Explanation:

We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;

-3 - 7 = -10 (-3 - 7)

The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.

If we add -3 and -7 we will get -10. This makes the option b the correct answer.

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Answer:

coordinates of D are ( -8, 5)

Step-by-step explanation:

- the formula of the coordinates of the midpoint is (x1+x2)/2  & (y1+y2)/2

- first we find midpoint C by using coordinates of points A and B

C => (4 - 12)/2 & (8 + 4)/2

calculate, coordinates of C are ( -4, 6 )

- now find midpoint D by using the coordinates of B and C

D => ( -12 - 4 )/2 & (4 +6)/2

calculate and the coordinates of D are ( -8, 5 )

Answer:

don't know and sorry sorry

Answer:

$16.90

Step-by-step explanation:

Answer:

$16.90

Step-by-step explanation:

Answer:

A rectangle.  

Step-by-step explanation:

A square would have four congruent sides.  Because this does not and it has the four right angles, it is a rectangle.

The time required to have number of bacteria to be 100,000 is equal to 15.96 hours.

Let us consider,

N = final number of bacteria

   = 100,000 bacteria

N₀ = initial number of bacteria

    = 2500 bacteria

t = time elapsed

T = time it takes for the population to double

   = 3 hours

Use exponential growth formula to solve this problem,

N = N₀ × 2^(t/T)

Substitute the values in the formula,

⇒ 100,000 = 2500 × 2^(t/3)

Simplify this equation by dividing both sides by 2500,

⇒ 100,000/2500 = 2^(t/3)

⇒ 40 = 2^(t/3)

To solve for t, we can take the logarithm of both sides of the equation,

⇒ log40 = (t/3) log 2

⇒ t/3 = log 40 /log 2

⇒t = 3 × ( log 40 /log 2)

Using a calculator, we can evaluate this expression to get,

t ≈ 15.96 hours

Therefore, it will take approximately 15.96 hours for the number of bacteria to reach 100,000.

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The company should manufacture 15 items to minimize the cost.So, the correct answer is (B) 15.

To find the number of items the company should manufacture to minimize the cost, we need to determine the value of x that corresponds to the minimum point of the cost function.

The cost function is given as C = 6x² - 180x + 2000.

To find the minimum point, we can take the derivative of the cost function with respect to x and set it equal to zero:

C' = 12x - 180 = 0

Solving this equation for x, we get:

12x = 180

x = 180/12

x = 15

Therefore, the company should manufacture 15 items to minimize the cost.

So, the correct answer is (B) 15.

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Answer:  2.815 kilograms

======================================================

Work Shown:

1 layer = 0.5 kg

5 layers = 5*(0.5 kg) = 2.5 kg

icing = 15 g = 15/1000 = 0.015 kg

1 candle = 100 g = 100/1000 = 0.1 kg

3 candles = 3*(0.1 kg) = 0.3 kg

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

The five layers combine to 2.5 kg. On top of that we have 0.015 kg of icing, and then finally the three candles add 0.3 kg more weight.

The total weight is therefore: 2.5+0.015+0.3 = 2.815 kilograms

Depending on the level of difficulty, there are three different dividing methods. These include the bus stop approach, the chunking method, and the long division method. The chunking method is also known as division by repeated subtraction.

One of the four fundamental arithmetic operations, or the process by which two or more numbers are added together to create a new number, is division. Multiplication, addition, and subtraction make up the remaining operations.

The opposite of multiplication is division.

Depending on the level of difficulty, there are three different dividing methods. These include the bus stop approach, the chunking method, and the long division.

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You can rent time on computers at the local copy center for 35 minutes with $25.

To find out how much time you can rent for $25 at the local copy center, follow these steps:

1. Subtract the $10 setup charge from the total amount you have: $25 - $10 = $15.
2. Now you have $15 left for renting time on the computers. Since it costs $2 for every 5 minutes, you need to find out how many 5-minute increments can be covered by $15.
3. Divide the remaining amount by the cost per 5-minute increment: $15 / $2 = 7.5. Since you can't have half an increment, round down to 7.
4. Multiply the number of 5-minute increments by the time per increment: 7 * 5 = 35 minutes.

So, you can rent time on computers at the local copy center for 35 minutes with $25.

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Answer:

The average speed is:

\(\var{v}=75\: miles/h\)

Step-by-step explanation:

The average speed equation is given by:

\(\var{v}=\frac{\Delta x}{\Delta t}\)

Were:

Then we have:

\(\var{v}=\frac{225}{3}\)

\(\var{v}=75\: miles/h\)

I hope it helps you!

There are several ways to represent a linear function, including word form, function notation, tabular form, and graphical form.

What is linear function?

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Answer:

2. Open the bracket

Step-by-step explanation:

1. Given:

\(3(x + 2) = 12\)

2. Open the bracket, by multiplying 3 on every term in the bracket.

\( (3 \times x) + (3 \times 2) = 12 \\ 3x + 6 = 12\)

3.Subtraction Property of equality:

\(3x + 6 - 6 = 12 - 6\)

4. Simplify:

\(3x = 6\)

5. Divide property of equality:

\( \frac{3x}{3} = \frac{6}{3} \)

6. Simplify:

\(x = 2\)

9. Yes, since \(8+12>16\), meaning the side lengths satisfy the triangle inequality.

10. No, since \(5+7<20\), meaning the side lengths do not satisfy the triangle inequality.

Answer:

A.       (-4,8) and (2,-4)

Step-by-step explanation:

Because you already have a value for "y" you can plug in that value of "y" into the next equation and then solve for Y and X

The answer is correct, we can plot both triangles on a Coordinate plane and visually inspect the result. If we plot triangle ABC with vertices A(-3, 3), B(0, 4), and C(-3, 0), and then plot the image triangle A'B'C' with vertices A'(-3, -1), B'(0, 0), and C'(-3, -4), we can see that the image is a translation of the original triangle down by 4 units.

To determine the coordinates of the vertices of the image of triangle ABC after being translated 4 units down, we need to subtract 4 from the y-coordinates of each vertex. This is because a translation is a type of transformation that moves each point of a figure a certain distance in a certain direction.

So, starting with the preimage of triangle ABC with vertices at A(-3, 3), B(0, 4), and C(-3, 0), we can find the image by subtracting 4 from the y-coordinates:

A'(-3, 3 - 4) = A'(-3, -1)

B'(0, 4 - 4) = B'(0, 0)

C'(-3, 0 - 4) = C'(-3, -4)

Therefore, the coordinates of the vertices for the image after the translation are A'(-3, -1), B'(0, 0), and C'(-3, -4).

So, the correct option is A) A′(−3, −1), B′(0, 0), C′(−3, −4).

To check if the answer is correct, we can plot both triangles on a coordinate plane and visually inspect the result. If we plot triangle ABC with vertices A(-3, 3), B(0, 4), and C(-3, 0), and then plot the image triangle A'B'C' with vertices A'(-3, -1), B'(0, 0), and C'(-3, -4), we can see that the image is a translation of the original triangle down by 4 units.

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Answer:

-1 or -1/1

Step-by-step explanation:

Looked it up, found an answer that said

"X+Y = 6

change into slope intercept form y=mx+b

y= -x +6

the number infront of X is the slope...so....-1/1 would be your slope

Parallel lines have the same slope, so the answer is -1 or -1/1"

Hope this is correct, and good luck

The new price after the price increase of Nu 40 will be Nu 840.

The price of a pant after n Nu 40 price increases will be:

= 800 + 40

= 840

The expected weekly sales as a function of the number of price increases will be:

= n - 1) × 800

= (30 - 1) × 800

= 29 × 800

= 23200

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Answer:

The answer is in the picture

Since we have covered both cases and shown that in each case, a^2 is divisible by 4 or is 1 more than an integer divisible by 4, we can conclude that for any natural number a, a^2 satisfies the given condition.

To prove that for any natural number a, a^2 is divisible by 4 or is 1 more than an integer divisible by 4, we can consider two cases:

Case 1: a is an even number

If a is an even number, then it can be expressed as a = 2k, where k is also a natural number. In this case, we have:

a^2 = (2k)^2 = 4k^2

Since 4k^2 is divisible by 4, the statement holds true.

Case 2: a is an odd number

If a is an odd number, then it can be expressed as a = 2k + 1, where k is a natural number. In this case, we have:

a^2 = (2k + 1)^2 = 4k^2 + 4k + 1 = 4k(k + 1) + 1

Here, we observe that 4k(k + 1) is divisible by 4, and adding 1 does not change its divisibility. Therefore, a^2 is 1 more than an integer divisible by 4.

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To rewrite square trinomials and the difference of squares binomials as separate factors, we can use different methods based on the specific form of the expression: Square Trinomials, Difference of Squares Binomials.

Square Trinomials: A square trinomial is an expression of the form (a + b)^2 or (a - b)^2, where a and b are terms. To rewrite a square trinomial as separate factors, we can use the following method:

\((a + b)^2 = a^2 + 2ab + b^2\)

\((a - b)^2 = a^2 - 2ab + b^2\)

By expanding the square, we separate the trinomial into three separate terms, which can be factored further if possible.

Difference of Squares Binomials: The difference of squares is an expression of the form a^2 - b^2, where a and b are terms. To rewrite a difference of squares as separate factors, we can use the following method:

\(a^2 - b^2 = (a + b)(a - b)\)

This method involves factoring the expression as a product of two binomials: one with the sum of the terms and the other with the difference of the terms.

By using these methods, we can rewrite square trinomials and difference of squares binomials as separate factors, which can be further simplified or used in various mathematical operations.

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1. For this problem, you must first set up inequalities. Based on this question we can set the inequalities as x + y < 16 and x * y > 36.

2. Use a graphing tool to graph these inequalities. It is shown in the image below.

3. Any point in the intersection (but not on the dashed lines) between the two inequalities is a solution.

4. To list all the positive combinations with integers that satisfy this system, we can test the points out. The positive integers that satisfy these conditions are:

(4, 10); (4, 11); (5, 8); (5, 9); (5, 10); (6, 7); (6, 8); (6, 9); (7, 6); (7, 7); (7, 8); (8, 6); (8, 7); (9, 5); (9, 6); (10, 4); (10, 5); (11, 4)

Answer:

x=20

Step-by-step explanation:

Substitute 15 for y

it will be 2/3 multiplied by 15 then you get 10

you add 10 to 30 getting 40

then you divide 40 by 1/2 getting 20

:)))

Answer:

x = 80

Step-by-step explanation:

First, plug the 15 into the y.

\(1/2x - 2/3(15) = 30\)

Use PEMDAS to solve the parentheses, 2/3 of 15 is 10.

\(1/2x - 10 = 30\)

Add 10 to both sides of the equation.

\(1/2x = 40\)

Divide each side by 1/2 (or multiply by it's reciprocal, which is 2)

That will get you your answer of x = 80