Part B
-4 -3
Part A
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Part C
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1) Part A
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-3
Part D
Which part of the graph best represents the solution set to the system of
inequalities y 2 x + 1 and y + xs-1? (5 points)

When a scalar quantities is multiplied by a matrix of size 9x10, the resulting matrix will also be of size 9x10.

If we perform the matrix computation cM, where c is a scalar and M is a matrix of size 9x10, the resulting matrix cM will also be of size 9x10.

This is because when we multiply a scalar by a matrix, each element in the matrix is multiplied by the scalar.

Therefore, the resulting matrix has the same dimensions as the original matrix.

To see why this is the case, consider a single element in the resulting matrix cM. Let's say the element is located at row i and column j.

Then, it is given by cM[i,j] = c*M[i,j]. Since M[i,j] is just a single element in the original matrix, multiplying it by the scalar c produces a new scalar.

Therefore, cM[i,j] is also a single element in the resulting matrix cM.

Since each element in the original matrix M is multiplied by the scalar c, the resulting matrix cM will have the same dimensions as the original matrix, i.e., 9x10.

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The required value of trigonometric ratios is,

sin 45° = 1/[tex]\sqrt{2}[/tex]

cos 30 = [tex]\sqrt{3}[/tex]/2

tan 60 = 1/  √3

We know that,

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Therefore,

sin 45° = 1/[tex]\sqrt{2}[/tex]

cos 30 = [tex]\sqrt{3}[/tex]/2

tan 60 = 1/  √3

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Answer:

456

Step-by-step explanation:

Product means an answer derived from multiplication.  Therefore, if the product is 155952, and one value is 342, then the following equation is true:

342x = 155952, or 342 * x = 155952

Divide 155952 by 342 to get: 456.

Check the work in the equation:

342(456) = 155952

155952 = 155952, which is true, so the answer is 456.

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Answer:

5.

Step-by-step explanation:

15.90 / 3.18 =

Answer:

A) 44

Step-by-step explanation:

The given angle measurements are same side interior angles. Therefore, the summation of the two angle measurements will equal 180° (Forming a straight line).

Set the two angle measurements equal to 180:

[tex](3x + 3) + (45) = 180[/tex]

Simplify. First, combine like terms. Like terms are terms that share the same amount of the same variables. In this case, combine 3 with 45:

[tex]3x + 3 + 45 = 180\\3x + (3 + 45) = 180\\3x + (48) = 180[/tex]

Next, isolate the variable, x. Note the equal sign, what you do to one side of the equation, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, subtract 48 from both sides of the equation:

[tex]3x + 48 = 180\\3x + 48 (-48) = 180 (-48)\\3x = 180 - 48\\3x = 132[/tex]

Next, divide 3 from both sides of the equation:

[tex]\frac{3x}{3} = \frac{132}{3} \\x = \frac{132}{3} \\x = 44[/tex]

A) 44 is the value for x.

~

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Answer:

Step-by-step explanation:

Y=-3x-1/3

The answer should be y=-3x-3. The slope is -3, and the y intercept is -3. I don't see this as an option!

The mean of the data set is 16.7.

To find the mean of a data set, you add up all the values and divide by the number of values.

Adding up all the values, we get:

8 + 10 + 12 + 15 + 15 + 18 + 19 + 20 + 23 + 27 = 167

There are 10 values in the set, so we divide the sum by 10 to get the mean:

Mean = 167/10 = 16.7

Therefore, the mean of the data set is 16.7.

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Answer:

729

Step-by-step explanation:

3^3=27

and 27^2=729

So the final answer is 729!

Answer:

the answer is C: 729

Step-by-step explanation:

3×3×3=27

27×27=729

(A) The figure before the reflection is called the preimage. In this case, the preimage is ABC. (B) The figure after the reflection is called the image. In this case, the image is A'B'C'. (C) The outputs for the given inputs are:

Input: A(0,9) Output: A(0,9)

Input: B(-4,4) Output: B'(-8,0)

Input: C(0,4) Output: C(0,4)

(C) The coordinates of the output for each input point can be found by reflecting the input point across the line of reflection. In this case, the line of reflection is the perpendicular bisector of the line segment connecting A and C. For point A, the reflection is itself, so the output is (0,9).

For point B, we can find its reflection as follows: draw the line perpendicular to the line of reflection that passes through B, and find the point where it intersects the line of reflection. This point is the midpoint of the line segment connecting B and its image. The reflection of B is (-8,0), and the output is B'. For point C, the reflection is itself, so the output is (0,4).

Reflection is a type of transformation in geometry where an object is flipped across a line. In this case, ABC was reflected across the line of reflection to form A'B'C'. The line of reflection is the perpendicular bisector of the line segment connecting A and C.

The reflection of a point is the point on the other side of the line of reflection that is equidistant from the line. By applying the reflection rule, we can find the coordinates of the output for each input point.

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Answer:

4,875 gallons.

Step-by-step explanation:

1.5 gallons/hour

1.5 / 4 = 0.375 gallons/25mins

1.5 * 3 (hours) + 0.375 = 4.875 gallons

Answer:

3x+10+2x+20=180(oppite <s of parallogram)

30+3x=180

3x=180-30

3x=150

x=50

Step-by-step explanation:

The opposite angle of rhombus are equal

so,

here,

or,3x+10=2x+20

or,3x-2x=20-10

Therefore x=10

Answer:

Based on the diagram, we can see that there are four lines: k, n, w, and m. The relationship between these lines is important in understanding their geometric properties.

We can see that line k and line n are both straight lines and never intersect, which means they are parallel to each other. This is indicated by the two small arrows on line k and line n that are pointing in the same direction.

On the other hand, line w intersects line m at a right angle (90 degrees). This means that line w is perpendicular to line m. This is indicated by the small square in the corner where line w and line m meet.

Understanding parallel and perpendicular lines is important in many areas of mathematics and science, such as geometry, trigonometry, physics, and engineering.

Step-by-step explanation:

Answer:

The correct statement is: w is parallel to n and w is perpendicular to m.

Step-by-step explanation:

Answer:

[tex]x + 2[/tex]

see the below process of the equation:

Step-by-Step Explaination:

Given, f(x)=x+1 and g(x)=x+1

∴g(g(x))=g(x+1)

=(x+1)+1

=x+2

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The cone that has the volume of 24л cm³ is the third cone which has a diameter of 8 cm and a height of 4.5 cm.

The formula for determining the volume of a cone is expressed as the following:

Volume of a cone (V) = 1/3 * πr²h

We are given the following information about the third cone in the image given:

Diameter of the cone = 8 cm

Radius of the cone (r) = 8/2 = 4 cm

Height of the cone (h) = 4.5 cm

Plug in the values:

Volume of a cone (V) = 1/3 * π * 4² * 4.5

Volume of the third cone (V) = 24л cm³

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The side length of the square garden is 4 feet if the area of a square garden is the same as the area of a rectangular garden that is 8 ft long and 2 ft wide.

Length of the rectangular garden = 8 ft

Width of the rectangular garden = 2 ft

Area of rectangular garden =  length x width

Area of rectangle = 8 ft x 2 ft

Area of rectangular garden = 16 square feet

It is given that the area of the square garden is the same as the area of the rectangular garden. The area of the square garden is calculated as:

Area of square garden = side length x side length

Area of square garden = side length x side length = 16

To solve the equation, we need to make isolate it on one side of the equation.

Taking root on both sides:

[tex]\sqrt{(side length * side length)}[/tex] = [tex]\sqrt{16}[/tex]

side length = ± [tex]\sqrt{16}[/tex]

We need to take the positive root value:

side length =  [tex]\sqrt{16}[/tex]

side length = 4 ft

Therefore, we can conclude that the side length of the square garden is 4 feet.

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The true statement is that proves the congruence of both triangles is:

∠ABC ≅ ∠DCB;

alternate interior angles of parallel lines are congruent.

Here, we have

to prove that angles are congruent

From the complete question, we have the following highlights

Angles B and C are alternate interior angles

The triangles are bounded by parallel lines

The above highlights mean that:

Angles ABC and DCB are congruent, by the theorem of alternate interior angles of parallel lines

Hence, the true statement is (c)

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complete question:

Isabelle proves that the triangles are congruent by using the parallel lines to determine a second set of angles are congruent. What statement and reason could she have used? ∠ABC ≅ ∠BAC; corresponding angles of parallel lines are congruent. ∠CAB ≅ ∠DCB; alternate interior angles of parallel lines are congruent ∠ABC ≅ ∠DCB; alternate interior angles of parallel lines are congruent ∠ACD ≅ ∠ABD; corresponding angles of parallel lines are congruent.

The value of x in the polygon will be 13.25 degrees.

The value of x is 10.

We can find the value of x by plugging in the number of sides of the regular polygon into the formula x = (n-2)*15° - 1.

The sum of the interior angles of a regular polygon with n sides is (n-2) x 180 degrees.

Sum of angles = (24-2) x 180 = 22 x 180 = 3960 degrees

Since all the angles in a regular polygon are congruent, we can divide the sum of the angles by the number of angles to find the measure of one angle:

Measure of one angle = 3960/24 = 165 degrees

165 = 12x + 6

159 = 12x

x = 13.25

Therefore, the value of x is 13.25 degrees.

Each of the triangles in our decomposition has one angle equal to (17x+2)°, so the sum of all the angles in the triangles is 43 × (17x+2)° = 731x+86°.

Therefore, we have:

731x+86° = 7380°

Solving for x, we get:

731x = 7294°

x = 10

Therefore, the value of x is 10.

The equation that can be used to find the value of x is:

(9x+48)° + (15x-24)° = (n-2)*180°

24x + 24 = (n-2)*180°

Dividing both sides by 24, we get:

x + 1 = (n-2)*15°

Subtracting 1 from both sides, we get:

x = (n-2)*15° - 1

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Substitute each x-coordinate into equation y = - 6x - 3 to find the corresponding y-coordinate:

The length of the hypotenuse is 10.61 yd.

We have,

The sum of the angles in a triangle = 180

Now,

Two angles are 45.

This means,

The side opposite to angle 45 are equal.

So,

a = c

And,

a = 7.5 yd

Now,

Applying the Pythagorean theorem.

b² = a² + c²

b² = 7.5² + 7.5²

b² = 112.5

b = √112.5

b = 10.61

Thus,

The length of the hypotenuse is 10.61 yd.

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The lateral surface area of the square pyramid is  176 in².

The first thing we need to do is find the slant height of the pyramid, which is the height of each of the triangular faces. We can use the Pythagorean theorem to do this:

slant height² = height² + (1/2base)²

slant height² = 7² + (1/28)²

slant height² = 49 + 16

slant height² = 65

slant height = √(65)

Now that we have the slant height, we can find the lateral surface area by multiplying the perimeter of the base by half the slant height. The perimeter of the base is simply 4 times the length of one of the sides, which is 8 inches.

lateral surface area = (perimeter of base * slant height) / 2

lateral surface area = (4 * 8 * √(65)) / 2 lateral surface area = 16 * √(65)

To simplify the radical, we can factor out any perfect squares that are factors of 65:

lateral surface area = 16 * √(65)

lateral surface area = 16 * √(513)

lateral surface area = 16 * √(5) * √(13)

lateral surface area = 16 * √(5) * √(43.25)

lateral surface area = 16 * √(5) * (2 * √(3.25))

lateral surface area = 64 * √(5) = 176.42 square inches.

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Answer:

The right triangular pyramid volume is given by the formula V = 1 3 × B × h , where B is the area of the triangular base and h is the height (the distance from the apex to the base).

Step-by-step explanation:

Answer:

192 cubic feet

Step-by-step explanation:

The volume V of a triangular pyramid is given by the formula:

V = (1/3) * base area * height

where base area is the area of the triangular base.

In this case, the triangular base has a length of 8 ft and a width of 8 ft, so it is a square with area:

base area = length * width = 8 ft * 8 ft = 64 sq ft

Substituting the given values into the formula, we get:

V = (1/3) * 64 sq ft * 9 ft

V = 192 cubic feet.

Therefore, the volume of the triangular pyramid is 192 cubic feet.

Answer:

Step-by-step explanation:To calculate the savings percentage, we first need to find out the cost of the cardboard required for each box.

For the larger box:

Total Surface Area = 2 * (1926 + 1934.5 + 26*34.5) = 2 * (494 + 655.5 + 897) = 4093 cm²

Cost of cardboard for larger box = 0.502 * 4093 = 2055.986 cents = 20.55986 dollars (rounded to 5 decimal places)

For the smaller box:

Total Surface Area = 2 * (2517 + 2526 + 1726) + 6 * (25-21)* (17-2*1) = 3034 cm²

Note that the additional term in the equation is the surface area of the six sides of the lid and base of the box.

Cost of cardboard for smaller box = 0.502 * 3034 = 1522.268 cents = 15.22268 dollars (rounded to 5 decimal places)

The difference in cost between the larger and smaller boxes is:

20.55986 - 15.22268 = 5.33718 dollars (rounded to 5 decimal places)

The percentage savings can be calculated as follows:

Percentage savings = (difference in cost / cost of larger box) * 100%

= (5.33718 / 20.55986) * 100%

= 25.98%

Therefore, using the smaller box will result in a savings of approximately 26% on cardboard costs for Bathu Sneakers compared to using the normal larger box.

To graph the inequality X < -5 on a number line, we start by drawing a number line and marking a point at -5.

We have,

To graph the inequality X < -5 on a number line, we start by drawing a number line and marking a point at -5.

Since the inequality is strict (X is less than -5), we will draw an open circle at -5 to indicate that -5 is not included in the solution set.

Next, we shade the portion of the number line to the left of -5, since any value of X less than -5 satisfies the inequality.

Note that the open circle at -5 indicates that X cannot be equal to -5, since the inequality is strict.

Any value to the left of -5 on the number line would satisfy the inequality.

Thus,

To graph the inequality X < -5 on a number line, we start by drawing a number line and marking a point at -5.

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If Faith had met her goal, the mean would have increased from 60 to 100, the median would have remained the same at 60, and the mode would have changed from 60 to 100.

If Faith had met her goal, the mean, median, and mode would have changed. Let's assume her goal for the week was to read 100 pages.

Faith read only 60% of her goal, which is equivalent to 60 pages

(100 pages × 0.6).

If she had met her goal, she would have read 100 pages in total.

The mean would have changed from 60 pages to 100 pages.

Since we only have one data point (60), the median would have remained the same at 60.

The mode would be 60 since that is the only value we have.

If Faith had met her goal, the mode would have changed to 100, as 100 pages would appear most frequently.

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Answer:

To determine the day and time 7777 hours later in Washington, D.C., we first need to determine the time difference between Portland, Oregon, and Washington, D.C. Portland is in the Pacific Time Zone, while Washington, D.C., is in the Eastern Time Zone. The time difference between the two zones is 3 hours, with Eastern Time being ahead of Pacific Time.

So, if it is 7:00 a.m. in Portland, it would be 10:00 a.m. in Washington, D.C.

Next, we need to calculate the number of days that pass in 7777 hours. Since there are 24 hours in a day, we can divide 7777 by 24 to get the number of days:

7777 ÷ 24 = 324 remainder 1

So, 7777 hours is equal to 324 days and 1 hour.

Finally, we can add 324 days and 1 hour to the current time in Washington, D.C.:

10:00 a.m. on March 1 + 324 days and 1 hour = 11:00 a.m. on January 20 of the following year.

Therefore, 7777 hours later in Washington, D.C., would be 11:00 a.m. on January 20 of the following year.

Answer: 7777 hours late in Washington D.C. would be 11:00 a.m on January 20th of the following year

Step-by-step explanation:

The percentage change of the population is P = 1.7 %

Given data ,

To calculate the percent increase from 2014 to 2015, we need to find the difference between the two population values, divide it by the initial value, and then multiply by 100 to get the percentage.

Population increase = 7,375 - 7,250 = 125

Percent increase = (Population increase / Initial population) * 100

Percent increase = (125 / 7,250) * 100 ≈ 1.7241

Rounding to the nearest tenth of a percent, the percent increase is approximately 1.7%.

Hence , the percentage change is P = 1.7 %

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Answer:

YES PARALLEL

Step-by-step explanation:

The slopes of

y=−x+3 and −3x−3y=1 are both −1.

Parallel

Answer:

4.2, or 4 1/4

Step-by-step explanation:

Usually, "3 1/2 inch by 5 inch" is in the format of "length by width."

Therefore, the original length is 3.5 and width is 5.

If the new width is 6, the scale factor is determined by the following:

n/o, where 'n' is new, and 'o' is old: 6/5 = 1.2.  Check the work: 5 * 1.2 = 6.

Therefore, the scale factor is 1.2.  Now, multiply the old length by the scale factor to determine the new length:

3.5 * 1.2 = 4.2, or 4 1/4 inches, as there are 8 sections in an inch, and 2/8 = 0.25, which is a quarter, or 1/4.

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