The graph of y=f(x) is shown on the grid.
Use the graph to workout and estimate for f(2.5)

Answer:

See below ~

Step-by-step explanation:

Q1

Q2

Answer:

(10,0)

Step-by-step explanation:

Moving right 2 units will increase the x value by 2 since you are going further 'down the corridor'. Hope this helps.

Answer:

352

Step-by-step explanation:

sssplit the shapes and then do regular formula

a = lh

16. PM = 26x + 8x^2y

A = 52x^3y

17. Area = 33a^5b

Answer:

Step-by-step explanation:

Minimum: 2

Quartile Q1: 4.5

Median: 10

Quartile Q3: 15

Maximum: 19

Answer:

  2973.5 liters

Step-by-step explanation:

You are being asked to find the volume of the largest possible container that has a given surface area. The volume will depend on the shape. If shape is not specified, we know a sphere has the largest volume for a given area.

__

The available area is ...

  ($100) / ($10/m²) = 10 m²

The area of a sphere with diameter d is ...

  A = πd²

Then the diameter for the given area is ...

  10 m² = πd²

  (10/π) m² = d² . . . . . divide by π

  √(10 m²/π) = d ≈ 1.78412 m . . . . . . diameter of the largest sphere

The volume of a sphere is given by ...

  V = 4/3πr³ = (π/6)d³

For the diameter found above, the volume of the sphere will be ...

  V = (π/6)(1.78412 m)³ ≈ 2.97354 m³

There are 1000 liters in a cubic meter, so the largest amount of water that can be contained is ...

  2.97354 m³ × (1000 L/m³) = 2973.54 L

The largest amount of water the container can hold is about 2973.5 liters.

The quadratic regression equation is y = -0.02x^2 + 2x - 6

The table of values is given as:

speed (mph) 45 55 65 75

fuel (mpg) 43 45 38 32

Next, we determine the regression equation using a graphing calculator (see attachment)

From the graphing calculator, we have:

a = -0.02, b = 2 and c = -6

A quadratic regression is represented as:

y = ax^2 +bx + c

So, we have:

y = -0.02x^2 + 2x - 6

Hence, the quadratic regression equation is y = -0.02x^2 + 2x - 6

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For Eric and Bianca to be able to draw a model of a city park in the coordinate, they can follow the description in the image attached.

In the are of math and geometry, a coordinate system is known to be a kind of a system which is known to often uses a lot of numbers or only one to show the  position of any given points.

Note that to be able to design the part to their taste and with the right coordinates, For Eric and Bianca to be able to draw a model of a city park in the coordinate, they can follow the description in the image attached.

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Answer:

Vertex Q has an x-coordinate of 7. To form quadrilateral QRST, vertex T must be 3 units down from vertex Q. Vertex T should be at (7,3) .

Bianca is correct.

Step-by-step explanation:

Hope this helps.

Answer:

(8 + 24) ÷ (12 x 4) = 2/3

Step-by-step explanation:

To Find: an expression that has a value of 2/3

Solution :

A. [8 + (24 ÷ 12)] x 4

=  [8 + (2)] x 4

= 10 x 4

= 40

B. (8 + 24) ÷ (12 x 4)

= 32 ÷ 48

= 2 ÷ 3

= 2/3

C. 8 + (24 ÷ 12) x 4

= 8 + 2 x 4

= 8 + 8

= 16

D. 8 + 24 ÷ 12 x 4

8 + 2 x 4

= 8 + 8

= 16

The correct option is :

(8 + 24) ÷ (12 x 4) = 2/3

Answer:

8 cm

Step-by-step explanation:

because when it's reduced we multiply the side length by 1/3 * 6 = 2cm and the volume will equal v = a^3 = 2^3 = 8cm

Answer:

8cm

Step-by-step explanation:

step1: 6/3=2

volume of a cube =x*x*

v

:=8cm

v=2×2×2

vvv v

Step-by-step explanation:

Rearrange the equations to solve.

cos(-3 • pi) = -1

cos((-3pi) / 4 radians) = -0.707

cos(5 • pi) = -1

cos((5pi) / 4 radians) = -0.707

They are the same because when multiplied, they are the same value, and always will be that way. They also have the same identity if you simplify and compare the results of that equation.

The value of cos (-3π/4) and the value of cos (5π/4) are same.

Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.

The main three trigonometric ratios are sine, cosine and tangent functions.

We know that,

cos (-3π/4) = cos (3π/4)

Now,

cos (3π/4) = cos (π + π/4)

And,

cos (5π/4) = cos (π - π/4)

Now, we know that,

cos (π + x) = -cos (x) and cos (π - x) = -cos (x)

So the value of cos (π + π/4) = -cos( π/4) and cos (π - π/4) = -cos( π/4)

Hence cos (3π/4) = cos (5π/4) = -cos( π/4)

Hence both the values are same.

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{3, 4, 5, 6} 

Inequalities represent the value of a variable by comparing them to other values.

Inequality Signs

Before answering the question, make sure you understand the different inequality signs.

Solving the Inequality

To make this question easier to answer, we can solve the inequality. Solving an inequality involves isolating the variable.

Finding the Set

Now that we solved the inequality we can look for the correct set of numbers. Since we solved the inequality, we know that all of the correct values should be less than 9. However, because there was no equal to sign, 9 is not included in the set. The only set that has only correct solutions is {3, 4, 5, 6}.

Answer:

$4,680

Step-by-step explanation:

Rate : 10 dollars a week

You will have saved up $4,680 in 9 years.

Answer:

Step-by-step explanation:

We know that vertical angles are congruent.

Use this property to set up equation.

Substitute the values of angles and solve for x.

The value of x is 9

Answer:

One similar triangle: 15, 36 and 39

Another similar triangle: 10, 24, 26

Step-by-step explanation:

When a triangle is similar, it has corresponding sides that are each longer are shorter than the original triangle by a scale factor.

A scale factor is a number that you multiply the original triangle's sides by. After multiplying each original side, you get the side lengths of a new and similar triangle.

The original sides from the question are 5, 12 and 13.

Let's pick 3 to be a scale factor.

Multiply every original side by the scale factor to get the side lengths of a similar triangle.

5 × 3 = 15

12 × 3 = 36

13 × 3  = 39

∴ One similar triangle can have the sides 15, 36 and 39.

Let's pick another scale factor: 2

Now, we do the same. Multiply the original sides by the scale factor.

5 × 2 = 10

12 × 2 = 24

13 × 2  = 26

∴ Another similar triangle can have the sides 10, 24 and 26.

We can pick almost any number to be a scale factor. If we pick a scale factor that is:

We can make an infinite amount of other similar triangles just by changing the scale factor.

Answer:

x² + 3x - 11

Step-by-step explanation:

Adding functions: (f + g)(x) is equivalent to f(x) + g(x)

Here, we are given:

Simplify:

(7x - 3) + (x² - 4x - 8)

7x - 3 + x² - 4x - 8

x² + 3x - 11

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Answer:

[tex]\sf x = 6\dfrac{2}{3} \ \ or \ \ 6.67 \ (rounded \ to \ nearest \ hundreth)[/tex]

Build a proportional equation:

[tex]\rightarrow \sf \dfrac{AB}{AD} = \dfrac{BC}{DE}[/tex]

[tex]\rightarrow \sf \dfrac{10}{x+10} = \dfrac{6}{10}[/tex]

[tex]\rightarrow \sf 10(10) = 6(x+10)[/tex]

[tex]\rightarrow \sf 100 = 6x+60[/tex]

[tex]\rightarrow \sf 40= 6x[/tex]

[tex]\rightarrow \sf x = 40/6[/tex]

[tex]\rightarrow \sf x = \dfrac{20}{3}[/tex]

[tex]\rightarrow \sf x = 6\dfrac{2}{3}[/tex]

Answer:

Step-by-step explanation:

1. Create a porportianal equation. ab/ad=bc/de

2. plug in the variables for each line segment. 10/x+10=6/10

3. multiply each side by x + 10.      (6x+60)/10=10

4. Multiply each side by 10.    6x+60=100

5. simplify.    6x=40       3x=20

6. divide each side by 3.    x=20/3

(Sorry about my last answer)

Based on the height the yard dart is thrown from, the inital velocity, and the elevation angle, the length of time the dart is in the air is 1.6 seconds.

This can be solved using a projectile motion calculator which can show you the velocity of the dart and the time it spent in the air.

Plugging in the given values above, we find that the yard dart spent a total of:

= 1.6 seconds in the air

In conclusion, option D is correct.

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Answer:

0.33 recurring

Step-by-step explanation:

assuming alol the fractions are equal, find the total number of possibilities and assign one for each number

The ditch is 14.54 feet deep.

Trigonometry can be used to roof a house, to make the roof inclined ( in the case of single individual bungalows) and the height of the roof in buildings etc. It is used naval and aviation industries. It is used in cartography (creation of maps). Also trigonometry has its applications in satellite systems.

As, both brother have height of 6 feet.

We will use the concept of application of trigonometry to find the depth of ditch.

The explanation is attached below

Now, by solving both equations we get

0.8391y= (2+√3)(30-y)

4.5711y=111.96

y= 24.49 feet.

Now,

x= 14.54 feet.

Hence, the depth of ditch is 14.54 feet.

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37.50

Step-by-step explanation:

Answer:

±[tex]\frac{1+\sqrt{3} }{2\sqrt{2} }[/tex]

Step-by-step explanation:

We can rewrite [tex]sin(\frac{7\pi }{12} )[/tex] as [tex]sin(\frac{7\pi }{6} (\frac{1}{2} ))[/tex]. The half-angle identity for sin tells us that [tex]sin(\frac{x}{2} ) = \sqrt{\frac{1 - cos(x)}{2} }[/tex] (plus or minus). Now, we can plug in [tex]\frac{7\pi }{6}[/tex] for x. When we do that, we get [tex]\sqrt{\frac{1 - (-\frac{\sqrt{3}}{2}) }{2} }[/tex] =  ± [tex]\frac{1+\sqrt{3} }{2\sqrt{2} }[/tex].

Hope this helped! :)

Answer:

Step-by-step explanation:

103 millimeters because 10 mm= 1 cm, so 100 mm is the same as 10 cm and 3 more mm makes it more

Step-by-step explanation:

FIFO means "first in - first out". so, it is airways the oldest in the inventory that is sold. that means the newest or youngest items in the inventory remain.

the end inventory shows 70 units.

that means, all the November units (64) plus 6 of June are still there.

a.

the cost of the ending inventory is

576 + 6×8 = 576 + 48 = $624

b.

the cost of goods sold is then

1727 - 624 = $1,103

control :

196 + 483 + (59-6)×8 = 679 + 53×8 = 679 + 424 =

= $1,103

correct.

The inequality that represent this scenario is x + y ≤ 12 and y > 5

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the rings and y represent the pin

There were no more than 12 of these, hence:

x + y ≤ 12

and

y > 5

The inequality that represent this scenario is x + y ≤ 12 and y > 5

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Answer:

there right i took the test

Step-by-step explanation:

cant add more because they covered it all

7y - (4y - 14) = 23

---Distribute the negative sign into the terms in the parentheses

7y - 4y + 14 = 23

---Combine like terms

3y + 14 = 23

---Subtract 14 from both sides

3y = 9

---Divide both sides by 3

y = 3

Answer: y = 3

Answer Choice: A, 3

Hope this helps!

Answer:

A. The solution is y = 3.

Step-by-step explanation:

Given

Distribute the value to the terms in parentheses.

Simplify like terms and subtract 14 from each side.

Divide by 3 on each side.

A. The solution is y = 3.

The best interpretation is that the sum of 2.1 and –1.2 times a number is greater than or equal to 8.

Inequality are expressions not separated by an equal sign, Given the inequality;

2.1 + (-1.2x) ≥ 8

The sign ≥ means greater than or equal to

The expression 2.1 + (-1.2x) ≥ 8 can also be expressed as 2.1 - 1.2x ≥ 8

The best interpretation is that the sum of 2.1 and –1.2 times a number is greater than or equal to 8.

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Answer:

The 1st, 4th, and 5th

Step-by-step explanation:

Using conditional probability, the equation that implies that a and b are independent events is P(B|A) = P(B).

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

If A and B are independent events, we have that:

[tex]P(A \cap B) = P(A)P(B)[/tex].

Then, at the conditional formula:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]

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Answer:

P(B/A)=(A)

Step-by-step explanation:

trust me