Which statement is true regarding the graphed
functions?
A)f(0) = 2 and 9(-2) = 0
B)f(0) = 4 and g(-2) = 4
C)f2) = 0 and 9(-2) = 0
D)f(-2) = 0 and g(-2) = 0

Answer:

n = 298

318 - 6% = 298

The value of the number 'n' is 300.

Given the parameter:

"The number n is increased by 6% and the result is 318".

To determine the value of n, simply multiply the percent increase, and n equate to 318 to form an equation.

Since, its a percent increase; we add 6% to 100%

6% + 100% = 0.06 + 1 = 1.06

Hence:

1.06 × n = 318

Solve for n:

Divide both sides by 1.06:

n = 318/1.06

n = 300

Therefore, n has a value of 300.

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Y=-x+3 is the slope-intercept form equation for the line.

The slope or gradient of a line is a numerical representation of a line's steepness and direction in mathematics. The reason for this usage is unknown, although it first appears in English in O'Brien (1844), who wrote "y = mx + b," and in Todhunter (1888), who wrote "y = mx + c." The letter m is widely used to signify slope.

The slope can be calculated by comparing the "vertical change" to "horizontal change" between any two distinct points on a line. In cases when the ratio is expressed as a quotient ("rise over run").

From the above graph,

The line is passing through the points (-1, 4) and (3, 0)

Let the slope intercept form be

y= mx +c

Slope m=(0-4/3+1)

=-4/4

= -1

y= -x+c

The equation is passing through the point (3, 0)

-3+c=0

c=3

y= -x+3

Therefore, y=-x+3 is the slope-intercept form equation for the line.

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The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.

We want to verify the trigonometric  identity;

cos (α - β)/(cos α sin β) = cot β + tan α

Now, according to trigonometric identities in mathematics, we know that;

cos (α - β) = (cos α cos β) + (sin α sin β)

Thus, plugging that back into our left hand side of the main question gives;

[(cos α cos β) + (sin α sin β)]/(cos α sin β)

Rewriting this expression by separating the denominator gives;

[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)

Using quotient identities, this can be simplified to;

cot β + tan α

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The probability of observing such an extreme result by chance alone is 0.0124.

To find the P-value for a two-tailed test of hypothesis, we need to first determine the significance level (alpha) of the test. Let's assume a significance level of 0.05, which is a common choice.

Since this is a two-tailed test, we need to find the probability of observing a test statistic as extreme or more extreme than 2.5 in either direction. We can find this probability using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find that the probability of observing a z-score of 2.5 or greater is 0.0062. The probability of observing a z-score of -2.5 or smaller is also 0.0062. Therefore, the P-value for the two-tailed test of hypothesis is:

P-value = 2 * 0.0062

P-value = 0.0124

This means that if the true proportion of business students who have personal computers at home differs from 30%, with a significance level of 0.05, and we obtain a test statistic of 2.5, then the probability of observing such an extreme result by chance alone is 0.0124.

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The principle of "Caring about the development of students' mathematical proficiency" is a vital component of the teaching process.

As a teacher, you must be concerned about your student's growth in mathematics to support their success in the subject. The main points of this principle are as follows:

1. Supporting Students: The teacher must strive to provide effective support for each student's learning, based on their needs.

2. Encouraging Students: The teacher should encourage students to improve their proficiency in mathematics and support their learning by providing suitable opportunities for them.

3. Problem-Solving Skills: Teachers must help students develop problem-solving skills to tackle challenging mathematical problems.

4. Feedback and Assessment: The teacher must provide timely feedback and assessment to support the student's growth in mathematics. This feedback should be constructive and should aid in the student's development of mathematical proficiency.

5. Encouraging Student Reflection: The teacher should encourage students to reflect on their learning experiences to recognize areas where they need more support. The development of a student's mathematical proficiency should be the focus of a teacher's teaching, learning, and assessment practices.

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Answer:

C. 6.06

Step-by-step explanation:

173/1000=.173

.173*35== 6.06

The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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Answer:

i think it 20 if im wrong im sorry

The height of the prism is 9 inches if the area of a cross-section perpendicular to the base of a rectangular prism is 45 square inches.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

Please refer to the attached picture for the figure:

We have:

The area of a cross-section perpendicular to the base of a rectangular prism is 45 square inches.

As we know the area of the rectangular face = lengthxwidth

From the figure:

The area of the rectangular face = hx5

h is the height of the rectangular prism.

45 = hx5

h = 45/5

h = 9 inches

Thus, the height of the prism is 9 inches if the area of a cross-section perpendicular to the base of a rectangular prism is 45 square inches.

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Answer:

6 toppings

$7.50

Step-by-step explanation:

let t = topping

Option 1 = 3 + 0.75t

Option 2 = 4.50 + 0.5t

Equate the equations and solve for t:

3 + 0.75t = 4.50 + 0.5t

Subtract 3 from both sides:  0.75t = 1.5 + 0.5t

Subtract 0.5t from both sides:  0.25t = 1.5

Divide both sides by 0.25:  t = 6

Therefore, the price of the ice cream cups wil be the same for 6 toppings.

Substitute t = 6 into one of the equations for the price:

price = 3 + (0.75 x 6) = 3 + 4.5 = $7.50

Answer:

919,800

Step-by-step explanation:

To round up, the tens place would have to be either 5 or higher. Since the number in the tens place is 2, which is under 5, it will stay the same.

Answer:

There is motlre chance that a green Ballon will be selected because green Ballon are more than orange

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

3 and 4

Step-by-step explanation:

The answer is 3 and 4 because consecutive means one more than the previous number. Therefore, 3 + 1 = 4

Also, 3*4 = 12

Hope this helps!

Answer: 18.18%

Step-by-step explanation:

First, let's calculate the surface area of the original piece of wood. The surface area (SA) of a rectangular prism is given by the formula:

\($$SA = 2lw + 2lh + 2wh$$\)

where \(\(l\)\) is the length, \(\(l\)\) is the width, and \(\(h\)\) is the height. For the original piece of wood, \(\(l = 10\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\).

After the piece of wood is cut in half, the length becomes 5 inches, but the width and height remain the same. So, for each of the two new pieces of wood, \(\(l = 5\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\). The total surface area of the two new pieces of wood is twice the surface area of one of the new pieces.

The percent increase in the total surface area is given by the formula:

\($$\text{Percent Increase} = \frac{\text{New Total SA} - \text{Original SA}}{\text{Original SA}} \times 100\%$$\)

Let's calculate these values.

The percent increase in the total surface area when the piece of wood is cut in half is approximately 18.18%.

On solving the provided question, we cans ay that lateral surface area of cuboid = 2h(l+b) = 2*2(5+4) = 36 cm sq.

A cuboid is a solid or three-dimensional form in geometry. A cuboid is a convex polyhedron having 8 vertices, 12 sides, and 6 rectangular faces. Another name for a cuboid is a cuboid. A cube is a cuboid with six square faces. Boxes include things like books and bricks. The following are the key variations between cubic and cubic: In contrast to a cube, which has rectangular faces, a cube has six equally sized square faces. Even though the cube and cuboid structures have a similar appearance, they differ in some ways in terms of side length, diagonal, and area.

lateral surface area of cuboid = 2h(l+b)

h = 2cm

l = 5cm

b = 4cm

lateral surface area of cuboid = 2h(l+b) = 2*2(5+4) = 36 cm sq.

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Answer:

13 miles

Step-by-step explanation:

For this equation you would use the Pythagorean Theorem. \(a^{2}+b^{2} =c^{2}\) .

12 x 12 = 144

5 x 5 = 25

144 + 25 = 169

\(\sqrt{169}\) = 13

Answer:

xy

Step-by-step explanation:

The graph of the given line is attached below.

We are given the line:-

y = (3/5)x - 4

We will find the x and y intercepts of the line to plot in the graph.

As the equation is already in the slope intercept form, we can write,

The y-intercept of the line is -4.

Hence, the coordinates of the point will be (0,-4).

To find the x - intercept of the line we will put y = 0 in the given line.

0 = (3/5)x - 4

4 = 3x/5

x = 20/3

The coordinates of the point will be (20/3,0).

We can plot these points to get the desired graph.

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We need to solve the following system:

We need to select the steps that leads us to solving the system.

The first option says that we need to multiply the first equation by 2 then subtract the second equation from the result. Let's see how this goes:

This does not eliminate one variable, therefore it's incorrect.

The second option tells us to multiply the first equation by 4 and the second by 6, then subtract the resulting equations:

This eliminates one variable, therefore it is correct.

The third option tells us to multiply the first equation by 2, then add the result to the second equation.

This elimates one variable, therefore it is correct.

The fourth option tells us to divide the second equation by 2, then add the result to the first equation.

Since this eliminates one variable, it is correct.

The fith option tells us to multiply the second equation by 6, then subtract the result from the frist equation.

This does not eliminates one variable, it is incorrect.

The correct options are: 2, 3 and 4.

Answer:

The answer is not complete. But you can use a spreadsheet to construct a simulation model to estimate the average profit per unit of a set of data.

Step-by-step explanation:

To calculate the Expected value of profit, we use:

Selling price - Expected value of different costs

Selling price is Total Cost * Probability

Confidence Interval

A Confidence Interval is a range of values that someone can be sure the true value lies in.

To calculate the confidence interval, we use the formula x ± z * S/√n

Where S is the standard deviation

n is the number of observations

x is the mean

z is the chosen z value

Answer:

what does cos theta mean

Step-by-step explanation:

i need to know

Answer:

4x + 15 = 6x - 3

Step-by-step explanation:

Four times an unknown number is 4x, add 15 like it says, then it says three less so it would be - 3 and then it says than six times the [unknown] number, which remains being x

hope this helps!

Answer:

1

Step-by-step explanation:

a fourth is 1/4 meaning Fourth = 1/4

Answer: (5 , 1)

Step-by-Step explanation:

hihi your problem is a system of question y = x-4 and  y = -x+6 okay so  graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!

y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right

y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left

once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!

the solution is  x = 5 and y = 1 which is also (5 , 1)

hopefully this was helpful !

Candy spends £2.65, has 2/3 left and Candy has £7.95 money to start with.

Given that Candy spends £2.65 and has 2/3 of the initial amount left, we are required to find how much money Candy has to start with.

Solution:Let the initial amount of money Candy has be x.

Then, the amount of money spent by Candy = £2.65

Amount of money left with Candy = 2/3 of the initial amount

∴ Money left = 2/3 × x

Amount of money spent + money left = initial amount of money

Candy spends £2.65:2/3 of the initial amount left

= £ (x - 2.65)∴ 2/3 × x

= x - 2.65⇒ 2x/3

= x - 2.65⇒ 2x

= 3x - 7.95⇒ 3x - 2x

= 7.95⇒ x = 7.95

Hence, Candy has £7.95 to start with.

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Answer:quadrupled

Step-by-step explanation:

If the radius of a circle is doubled, the area of the circle will be quadrupled and the circumference will also be doubled. This makes sense because the area of a circle is directly proportional to the square of the radius of the circle (if the radius of a circle is increased x times, its area will be increased to x^2 times the original area), whereas the circumference is proportional to the size of the radius (if the radius of a circle is increased x times, its circumference will increase x times).

Answer:

. 5300

Step-by-step explanation

You can see the answer here

Answer:

The correct options are , Option 1st, 3rd and 4th.

24 square units

72 square units

96 square units

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE COMPLETE QUESTION

Which could be the area of one face of the triangular prism? Select three options.

A triangular prism. The rectangular sides are 12 by 10, 12 by 8, and 12 by 6. The triangular sides have a base of 8 and height of 6.

[Not drawn to scale]

24 square units

48 square units

72 square units

96 square units

144 square units

EXPLANATIONS

Solving for RECTANGULAR part

Area of rectangles = Length x width.

\(A=LW\)

Area of the face of 12 x 10 dimension= 120 square units

Area of face of the 12 x 8 dimensions = 96 square units

Area of face of the 12 x 6 dimension = 72 square units

Solving for the TRIANGULAR part

Area of triangles = 1/2 x base x height.

\(A=1/2bh\)

Triangular height is 6

Triangular base is 8

A=1/2*8*6

\(A=24square units\)

Therefore, the areas are ;24 square units,72 square units and 96 square units

Answer:

The correct options are , Option 1st, 3rd and 4th.

24 square units

72 square units

96 square units

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE COMPLETE QUESTION

Which could be the area of one face of the triangular prism? Select three options.

A triangular prism. The rectangular sides are 12 by 10, 12 by 8, and 12 by 6. The triangular sides have a base of 8 and height of 6.

[Not drawn to scale]

24 square units

48 square units

72 square units

96 square units

144 square units

EXPLANATIONS

Solving for RECTANGULAR part

Area of rectangles = Length x width.

Area of the face of 12 x 10 dimension= 120 square units

Area of face of the 12 x 8 dimensions = 96 square units

Area of face of the 12 x 6 dimension = 72 square units

Solving for the TRIANGULAR part

Area of triangles = 1/2 x base x height.

Triangular height is 6

Triangular base is 8

A=1/2*8*6

Therefore, the areas are ;24 square units,72 square units and 96 square units

Answer:

8:6 and 16:12

Step-by-step explanation: