Find each product mentally using the distributive property show the steps that you used.
1.8x71

2.6x83

The domain of the function in the graph can be written as: -4 ≤ x < 4

or [-4, 4)

To identify the domain look at the horizontal axis. Remember that the domain is the set of the inputs, and the inputs go in the horizontal axis (or the x-axis)

You can see that there is a closed dot (which means that the value belongs to the domain) at x = -4, and there is a open dot (which means that the value does not belong to the domain) at x = 4.

Then the domain of the graph is:

-4 ≤ x < 4

Or, written in interval form, it is [-4, 4)

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Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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c=8

Hope it helps Hve a nice day

Answer:

c=8

Step-by-step explanation:

\(28+c=36\\ 36-28=8\\ c=8\)

Answer:

1 hour = 3 kg

27 ÷ 3 = 9 hours

hope this helps.

Answer:

hdhdhdhrheheheheheehhdhdududueueehheb

Here is how your graph should look. Make sure to plot (0,-8) as your y-intercept.

Hope this can help ! :)

Answer:

A quadrilateral is a shape that has four straight sides and four angles.

A triangle is a shape that has three straight sides and three angles.

A square is a special type of quadrilateral that has four straight sides of equal length and four right angles.

Answer:

Where are the answer choices my dude

Step-by-step explanation:

The coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the Coordinates of Luke's house on the coordinate grid.

The grid representing Kyle's house. However, based on the given information, we can determine the coordinates of Kyle's house relative to Luke's house.

If Luke's house is located at the point (x, y), then Kyle's house is located 4 units to the left of Luke's house, which means the x-coordinate of Kyle's house is (x - 4). Similarly, Kyle's house is located 2 units up from Luke's house, which means the y-coordinate of Kyle's house is (y + 2).

Therefore, the coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the coordinates of Luke's house on the coordinate grid.

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Answer:

i'll help

Step-by-step explanation:

email corporatewriters4

According to the information provided, 4.5 litres of red paint and 1400 ml of blue paint are required to manufacture the paint mixture.

Red paint requires 3/4 x 6 = 9/2 = 4.5 litres.

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The incorrect statement is the reflection is over x-axis.

Given that an image has been reflected to form another image, we need to find the incorrect statement from the given options,

A reflection is known as a flip.

A reflection is a mirror image of the shape.

An image will reflect through a line, known as the line of reflection.

A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

So, here the image is reflected over y-axis so the rule (x, y) → (-x, y) can be followed,

Also, the orientation of the image is preserved.

Since, the transformation is reflection, so the image and pre-images are congruent.

Hence, the incorrect statement is the reflection is over x-axis.

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The incorrect statement is the reflection is over x-axis.

Given that,

an image has been reflected to form another image, we need to find the incorrect statement from the given options,

So, here the image is reflected over y-axis so the rule (x, y) → (-x, y) can be followed,

Also, the orientation of the image is preserved.

Since, the transformation is reflection, so the image and pre-images are congruent.

Hence, the incorrect statement is the reflection is over x-axis.

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Answer:

126 hours. aka 5.25 days.

Step-by-step explanation:

168/ amount of time will leak until empty = 21

21 x 6 hours each time. :)

Step-by-step explanation:

so, we calculate the perpendicular slope, and then we start with the point-slope form (since we were given a specific point of the line), and transform into the regular slope-intercept form.

the slope in

y = 2x + 2

is the factor of x : 2 or 2/1

the perpendicular slope is turning this upside down and flips the sign : -1/2

the point- slope form is

y - y1 = a(x - x1)

"a" being the slope, (x1, y1) being the point.

y - 9 = -1/2(x - -2)

y - 9 = (-1/2)x - 1

y = (-1/2)x + 8

The measure of the obtuse angle with vertex P is 30 degrees.

We have,

If there is an acute angle with vertex Q measuring 60 degrees, then there must be a corresponding obtuse angle with vertex P that shares the same side as angle Q.

Let's call the measure of this obtuse angle x.

By the angle sum property of triangles, the sum of the measures of the three angles in any triangle is always 180 degrees.

Therefore, we can write the equation:

60 degrees + 90 degrees + x = 180 degrees

Simplifying this equation, we get:

x = 180 degrees - 60 degrees - 90 degrees = 30 degrees

Therefore,

The measure of the obtuse angle with vertex P is 30 degrees.

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The angle between the two tangents drawn from an external point to a circle and the angle subtended by the line segment joining the points of the contact at the Centre are supplymentary,

So,

15.) let the unknown angle be x

=》x + 55° = 180°

=》x = 180° - 55°

=》

\( \boxed{x = 125°}\)

16. let the unknown angle be n

=》n + 80° = 180°

=》n = 180° - 80°

=》

\( \boxed{n = 100°}\)

9514 1404 393

Answer:

  15)  125°

  16  100°

Step-by-step explanation:

The short arc where two tangents intersect a circle, and the angle where the tangents meet are supplementary.

__

15) ? = 180° -55° = 125°

16) ? = 180° - 80° = 100°

_____

Additional comment

The quadrilateral formed by the tangents and the radii to the points of tangency has a total interior angle measure of 360°. The angles where the radii meet the tangents are 90°, so the sum of the external angle and the central angle is 360° -90° -90° = 180°. That is, the external angle and the central angle are supplementary.

Answer:50.2654812288

Step-by-step explanation:

The two circles :

Sa  = πr²

     = π x 2²

     = 12.5663706144

     = 12.5663706144 x 2

     = 25.1327412288

The rectangle :

C x h = 2πr

= 25.13274

= 25.13274 + 25.1327412288

= 50.2654812288

Step-by-step explanation:

50.2654858683848

because it is equivalent to this. Also I can tutor you

Answer:

the answer is in the photo

Step-by-step explanation:

I hoped I helped:)

Answer:

3rd  option

Step-by-step explanation:

\(\frac{5}{7}\) y = 6

multiply both sides by \(\frac{7}{5}\) , the reciprocal of \(\frac{5}{7}\) )

\(\frac{7}{5}\) ( \(\frac{5}{7}\) y ) = \(\frac{7}{5}\) (6) , that is

y = \(\frac{42}{5}\)

Answer:

76.16

Step-by-step explanation:

5/3.40  =  112/x:

first combine like terms, which gives you

5x  =  3.40 × 112

next multiply 3.40 by 112 (simplifying) so you get

5x  =  380.8

last you divide 380.8 by 5x getting your answer of $76.16

hope this helped! :)

Answer:

DE

Step-by-step explanation:

D)9x + 6y = 3(3x + 2y)

E)9a + 6b + 3c = 3(3a + 2b + c)

there have the same concept

3*3x equals 9x and 3*3a is 9a

Sorry this isnt an answer, but i need more information to be able to answer this question! there isnt a photo or any more text attached

Answer

the answer is 91 miles per hour

Step-by-step explanation:

divide 728 by 8

The system of equations has one solution, which is (2, 3).

To find the solution to a graphed system of equations, you need to find the points where the graphs of the two equations intersect. These points represent the coordinates of the solution, which are the values of x and y that make both equations true simultaneously.

The system of equations as shown in the graph has one solution, which is: (2, 3). This is because the liens intersect at the point (2, 3).

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The final values of $t0, $t1, $t2, and $t3 in the MIPS assembly code are 1, 2, 3, and 4, respectively.

This is because each of the 'addi' instructions adds a constant value to the specified register. The 'addi' instruction in MIPS stands for "add immediate", where the constant value is immediately added to the source register. In this case, each of the 'addi' instructions adds 1, 2, 3, or 4 to the corresponding register.

\($t0 = 0 + 1 = 1$$t1 = 0 + 2 = 2$$t2 = 0 + 3 = 3$$t3 = 0 + 4 = 4$\)\($\)

Assuming that the initial values of the registers are 0, the final values of $t0, $t1, $t2, and $t3 would be the sum of the constant value and the initial value of the corresponding register. Thus, the final values of $t0, $t1, $t2, and $t3 would be 1, 2, 3, and 4, respectively.

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The complete question is-

What are the final values of $t0, $t1, $t2, and $t3 in the following MIPS assembly code after its execution is completed, assuming that the initial values of the registers are 0?

If the stores makes 1,052,000 then 14,400 red caps, 10,100 blue caps, and 24,500 green caps were sold.

Algebraic equations can be solved to find the values of the unknowns, and algebraic formulas can be used to derive new relationships between variables.

Let's use algebra to solve this problem. Let's assume the number of blue caps sold is x, and the number of green caps sold is y. Since the total number of caps sold is 49,000, we have:

x + y + (x+y) = 49,000

2x + 2y = 49,000

x + y = 24,500

Also, we know that the revenue from selling red caps is 25R, where R is the number of red caps sold, and similarly for blue and green caps. We can write the equation for the total revenue as:

25R + 20x + 15y = 1,052,000

But we also know that R = x + y, so we can substitute that into the equation:

25(x + y) + 20x + 15y = 1,052,000

45x + 40y = 1,052,000

9x + 8y = 210,400

Now we have two equations:

x + y = 24,500

9x + 8y = 210,400

We can solve for x and y by multiplying the first equation by 8 and subtracting it from the second equation:

9x + 8y - 8x - 8y = 210,400 - 196,000

x = 14,400/1

x = 14,400

Substituting x = 14,400 into the first equation:

14,400 + y = 24,500

y = 10,100

Therefore, 14,400 red caps, 10,100 blue caps, and 24,500 green caps were sold.

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To calculate the circumference of a circle, you can use the formula:

\(\displaystyle C=2\pi r\)

Where \(\displaystyle C\) represents the circumference and \(\displaystyle r\) represents the radius of the circle.

Given that the radius \(\displaystyle r\) is 8 inches, we can substitute this value into the formula:

\(\displaystyle C=2\pi (8)\)

Simplifying the expression:

\(\displaystyle C=16\pi \)

Thus, the circumference of a circle with a radius of 8 inches is \(\displaystyle 16\pi \) inches.

Note: \(\displaystyle \pi \) represents the mathematical constant pi, which is approximately equal to 3.14159.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Given data:

The given numbers of students are n=16.

The expression for the probability that you are not one of the first four students chosen is,

Thus, the probability that you are not one of the first four students chosen is 3/4.

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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